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-Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/01mechanika/index.html b/assets/notes/01mechanika/index.html index cb039a4f..90eb32ff 100644 --- a/assets/notes/01mechanika/index.html +++ b/assets/notes/01mechanika/index.html @@ -2428,7 +2428,7 @@

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-Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/01mechanika_cw.html b/assets/notes/01mechanika_cw.html index 39755cfb..ca30829f 100644 --- a/assets/notes/01mechanika_cw.html +++ b/assets/notes/01mechanika_cw.html @@ -186,7 +186,7 @@

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-Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/01mechanika_cw/mechanika_cw_2023.11.24.html b/assets/notes/01mechanika_cw/mechanika_cw_2023.11.24.html index 9c1b26f4..d6e1a9fe 100644 --- a/assets/notes/01mechanika_cw/mechanika_cw_2023.11.24.html +++ b/assets/notes/01mechanika_cw/mechanika_cw_2023.11.24.html @@ -135,7 +135,7 @@

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-Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/angielski/angielski_0000.00.00.html b/assets/notes/angielski/angielski_0000.00.00.html index 3fc75c7e..f11799f4 100644 --- a/assets/notes/angielski/angielski_0000.00.00.html +++ b/assets/notes/angielski/angielski_0000.00.00.html @@ -124,7 +124,7 @@

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-Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/angielski/angielski_2024.03.01.html b/assets/notes/angielski/angielski_2024.03.01.html index 850c35eb..3ab0d622 100644 --- a/assets/notes/angielski/angielski_2024.03.01.html +++ b/assets/notes/angielski/angielski_2024.03.01.html @@ -160,7 +160,7 @@

Nawigacja

© Copyright 2023, Maciej Szeptuch. Created using Sphinx 4.2.0.
Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

-Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio.html b/assets/notes/eio.html index 441cadb0..e6ebeaed 100644 --- a/assets/notes/eio.html +++ b/assets/notes/eio.html @@ -1374,8 +1374,151 @@

Siatka dyfrakcyjna (rozdzielczość)\(R = \frac{\lambda}{\Delta \lambda}\)

Różniczkujemy definicję i porównujemy z równaniem siatki \(R = ... = N m\)

+
+

Notatki z pliku notes/eio/eio_2024.06.11.md

+ + +
+

STW a elektromagnetyzm

+
+

Uwagi wstępne

+

jeśli łądunek spoczywa wytwarza tylko pole E, a jak się porusza to wytwarza pole B, +ale jeżeli jeden obserwator się porusza?

+
+

Względny charakter sił pola elektro-magnetycznego

+

W ukłądzie \(S'\) ładunki dodatnie poruszają się, a ujemne pozostją w miejscu.

+

Efekt relatywistyczny polega na tym, że pojawia się nowe pole elektryczne.

+

Jest tak, ponieważ dojdzie do skrócenia lorentza na długość przewodu (i gęstości ładunków)

+
+\[ +\rho_{-} = \gamma \rho'_{-} +\]
+

\rho_{+}’ = \gamma \rho +\rho’ = \rho (\gamma - \frac{1}{\gamma}) \ +$$

+
+

Czterowektory

+
    +

  • czterowektor położenia

    • +
+
+\[ +\mathbb{R} = (ct,x,y,z) +\]
+
    +

  • czterowektor pędu

    • +
+
+\[ +\mathbb{P} = (\frac{E}{c}, p_1, p_2, p_3) +\]
+
    +

  • czterowektor prądu

    • +
+
+\[ +\mathbb{j} = (c \rho, j_1, j_2, j_3) +\]
+
    +

  • czteropotencjał

    • +
+
+\[ +\mathbb{A} = (\frac{\phi}{c}, \vec{A}) +\]
+
    +

  • czterogradient

    • +
+
+\[ +\mathbb{\nabla} = (\frac{1}{c} \frac{\partial}{\partial t}, - \nabla) +\]
+
+

Notatki z pliku notes/eio/eio_2024.06.13.md

+
+
+

Zjawisko fotoelektryczne

+

Energia wybitych elektronów zależy jedynie od “koloru” fotonów

+
+\[ +E_k = h \nu - W +\]
+

gdzie W to praca wyjścia

+
+
+

Doświadczennie yanga w kontekście fotonowego modelu światła

+

eksperyment dyfrakcyjny z opóźnionym wyborem

+
+
+
+

Elementy OTW

+

powinny być sformuowane w taki sposób, że nie jest możliwe rozróżnienie między +jednorodnym polem grawitacyjnym a ukłądem nieniercjalnym

+
+

Notatki z pliku notes/eio/eio_egzamin.md

+
+ +
+

zagadnienia na egzamin z EiO

+
+

1.1 fale w ośrodku dyspersyjnym

+

Q: Proszę opisać ruch falowy w ośrodku dyspersyjnym i prędkość grupową

+

A:

+
    +

  • Ruch falowy w ośrodku dyspersyjnym to ruch falowy, w którym prędkość fali zależy od częstotliwości.

    • +
+
+\[ +v = \frac{\omega}{k} +\]
+
    +

  • Prędkość grupowa to prędkość obwiedni kilku złożonych fal harmonicznych.

    • +
+

Można ją przedstawić jako pochodną prędkości fazowej po wektorze falowym.

+
+\[ +v_g = \frac{d\omega}{dk} +\]
+
+
+

1.2 Równanie d’Alemberta

+

Q: Opisać równanie d’Alemberta w 3 wymiarach. Do jakich fal się odnosi?

+

A:

+

Równanie d’Alemberta w 3 wymiarach to równanie różniczkowe drugiego rzędu, które opisuje ruch falowy w ośrodku jednorodnym i izotropowym.

+
+\[ +v^2 \Delta \psi = \frac{\partial^2 \psi}{\partial t^2} +\]
+

chyba elaborate? TODO

+
+
+

1.3 energia stw

+

Q: Opisać problem energii w ujęciu relatywistycznym

+

A:

+

W ujęciu relatywistycznym energia jest sumą energji spoczynkowej i kinetycznej.

+
+\[ +E = m c^2 = \gamma m_0 c^2 = E_0 + E_k +\]
+

ref: jezierski wzory 1 str 113

+
+
+

1.4 problem pędu relatywistycznego

+

**Q:$$ Problem pędu relatywistycznego

+

A:

+

Pęd relatywistyczny to pęd, który uwzględnia zależność masy od prędkości.

+
+\[ +p = \gamma m v +\]
+

ELABORATE

+
+
+

1.5 Relatywistyczny efekt Dopplera

+

Q: Relatywistyczny efekt dopplera

+
@@ -1559,6 +1702,25 @@

Spis treści:

  • Siatka dyfrakcyjna (rozdzielczość)
    • +
  • STW a elektromagnetyzm +
    • +
  • Względny charakter sił pola elektro-magnetycznego +
    • +
  • Elementy OTW
    • + + +
  • zagadnienia na egzamin z EiO
    • @@ -1630,7 +1792,7 @@

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    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio/eio_2024.02.27.html b/assets/notes/eio/eio_2024.02.27.html index 32db6211..b640df8a 100644 --- a/assets/notes/eio/eio_2024.02.27.html +++ b/assets/notes/eio/eio_2024.02.27.html @@ -231,7 +231,7 @@

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    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio/eio_2024.04.25.html b/assets/notes/eio/eio_2024.04.25.html index 356494b4..644bcf97 100644 --- a/assets/notes/eio/eio_2024.04.25.html +++ b/assets/notes/eio/eio_2024.04.25.html @@ -252,7 +252,7 @@

    Nawigacja

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    Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio/eio_2024.04.30.html b/assets/notes/eio/eio_2024.04.30.html index 7c9f4023..80120f30 100644 --- a/assets/notes/eio/eio_2024.04.30.html +++ b/assets/notes/eio/eio_2024.04.30.html @@ -176,7 +176,7 @@

    Nawigacja

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    Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio/eio_2024.05.07.html b/assets/notes/eio/eio_2024.05.07.html index 5087a776..b6cf11d0 100644 --- a/assets/notes/eio/eio_2024.05.07.html +++ b/assets/notes/eio/eio_2024.05.07.html @@ -157,7 +157,7 @@

    Nawigacja

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    Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio/eio_2024.05.09.html b/assets/notes/eio/eio_2024.05.09.html index d961bb51..d5bf7ae6 100644 --- a/assets/notes/eio/eio_2024.05.09.html +++ b/assets/notes/eio/eio_2024.05.09.html @@ -189,7 +189,7 @@

    Nawigacja

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    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio/eio_2024.05.14.html b/assets/notes/eio/eio_2024.05.14.html index abb71d14..38a6cafb 100644 --- a/assets/notes/eio/eio_2024.05.14.html +++ b/assets/notes/eio/eio_2024.05.14.html @@ -131,7 +131,7 @@

    Nawigacja

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    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio/eio_2024.05.16.html b/assets/notes/eio/eio_2024.05.16.html index 97d463ad..ce0a69fb 100644 --- a/assets/notes/eio/eio_2024.05.16.html +++ b/assets/notes/eio/eio_2024.05.16.html @@ -154,7 +154,7 @@

    Nawigacja

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    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio/eio_2024.05.21.html b/assets/notes/eio/eio_2024.05.21.html index 71913735..afd6bde4 100644 --- a/assets/notes/eio/eio_2024.05.21.html +++ b/assets/notes/eio/eio_2024.05.21.html @@ -208,7 +208,7 @@

    Nawigacja

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    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio/eio_2024.05.23.html b/assets/notes/eio/eio_2024.05.23.html index 650e5b41..ad418903 100644 --- a/assets/notes/eio/eio_2024.05.23.html +++ b/assets/notes/eio/eio_2024.05.23.html @@ -161,7 +161,7 @@

    Nawigacja

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    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio/eio_2024.05.28.html b/assets/notes/eio/eio_2024.05.28.html index 9fc6ccc8..ee1c42e6 100644 --- a/assets/notes/eio/eio_2024.05.28.html +++ b/assets/notes/eio/eio_2024.05.28.html @@ -166,7 +166,7 @@

    Nawigacja

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    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio/eio_2024.06.04.html b/assets/notes/eio/eio_2024.06.04.html index 34df6c9f..e6b8c0ef 100644 --- a/assets/notes/eio/eio_2024.06.04.html +++ b/assets/notes/eio/eio_2024.06.04.html @@ -138,7 +138,7 @@

    Nawigacja

    © Copyright 2023, Maciej Szeptuch. Created using Sphinx 4.2.0.
    Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio/eio_2024.06.11.html b/assets/notes/eio/eio_2024.06.11.html new file mode 100644 index 00000000..7a2ba2fe --- /dev/null +++ b/assets/notes/eio/eio_2024.06.11.html @@ -0,0 +1,202 @@ + + + + + + + + + + STW a elektromagnetyzm — Matematyka - dokumentacja + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + +
    + + +
    +
    +
    +
    + +
    +

    STW a elektromagnetyzm

    +
    +

    Uwagi wstępne

    +

    jeśli łądunek spoczywa wytwarza tylko pole E, a jak się porusza to wytwarza pole B, +ale jeżeli jeden obserwator się porusza?

    +
    +
    +
    +

    Względny charakter sił pola elektro-magnetycznego

    +

    W ukłądzie \(S'\) ładunki dodatnie poruszają się, a ujemne pozostją w miejscu.

    +

    Efekt relatywistyczny polega na tym, że pojawia się nowe pole elektryczne.

    +

    Jest tak, ponieważ dojdzie do skrócenia lorentza na długość przewodu (i gęstości ładunków)

    +
    +\[ +\rho_{-} = \gamma \rho'_{-} +\]
    +

    \rho_{+}’ = \gamma \rho +\rho’ = \rho (\gamma - \frac{1}{\gamma}) \ +$$

    +
    +

    Czterowektory

    +
      +

    • czterowektor położenia

      • +
    +
    +\[ +\mathbb{R} = (ct,x,y,z) +\]
    +
      +

    • czterowektor pędu

      • +
    +
    +\[ +\mathbb{P} = (\frac{E}{c}, p_1, p_2, p_3) +\]
    +
      +

    • czterowektor prądu

      • +
    +
    +\[ +\mathbb{j} = (c \rho, j_1, j_2, j_3) +\]
    +
      +

    • czteropotencjał

      • +
    +
    +\[ +\mathbb{A} = (\frac{\phi}{c}, \vec{A}) +\]
    +
      +

    • czterogradient

      • +
    +
    +\[ +\mathbb{\nabla} = (\frac{1}{c} \frac{\partial}{\partial t}, - \nabla) +\]
    +
    +
    + + +
    +
    +
    +
    + + + +
    + + + +
    + +
    +
    +
    + + +
    + +
    +© Copyright 2023, Maciej Szeptuch. +Created using Sphinx 4.2.0.
    +Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

    +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) + + + + \ No newline at end of file diff --git a/assets/notes/eio/eio_2024.06.13.html b/assets/notes/eio/eio_2024.06.13.html new file mode 100644 index 00000000..e4dcb69d --- /dev/null +++ b/assets/notes/eio/eio_2024.06.13.html @@ -0,0 +1,156 @@ + + + + + + + + + + Zjawisko fotoelektryczne — Matematyka - dokumentacja + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + +
    + + +
    +
    +
    +
    + +
    +

    Zjawisko fotoelektryczne

    +

    Energia wybitych elektronów zależy jedynie od “koloru” fotonów

    +
    +\[ +E_k = h \nu - W +\]
    +

    gdzie W to praca wyjścia

    +
    +
    +

    Doświadczennie yanga w kontekście fotonowego modelu światła

    +

    eksperyment dyfrakcyjny z opóźnionym wyborem

    +
    +
    +

    Elementy OTW

    +

    powinny być sformuowane w taki sposób, że nie jest możliwe rozróżnienie między +jednorodnym polem grawitacyjnym a ukłądem nieniercjalnym

    +
    + + +
    +
    +
    +
    + + + +
    + + + +
    + +
    +
    +
    + + +
    + +
    +© Copyright 2023, Maciej Szeptuch. +Created using Sphinx 4.2.0.
    +Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

    +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) + + + + \ No newline at end of file diff --git a/assets/notes/eio/eio_egzamin.html b/assets/notes/eio/eio_egzamin.html new file mode 100644 index 00000000..379d2c83 --- /dev/null +++ b/assets/notes/eio/eio_egzamin.html @@ -0,0 +1,203 @@ + + + + + + + + + + zagadnienia na egzamin z EiO — Matematyka - dokumentacja + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + +
    + + +
    +
    +
    +
    + +
    +

    zagadnienia na egzamin z EiO

    +
    +

    1.1 fale w ośrodku dyspersyjnym

    +

    Q: Proszę opisać ruch falowy w ośrodku dyspersyjnym i prędkość grupową

    +

    A:

    +
      +

    • Ruch falowy w ośrodku dyspersyjnym to ruch falowy, w którym prędkość fali zależy od częstotliwości.

      • +
    +
    +\[ +v = \frac{\omega}{k} +\]
    +
      +

    • Prędkość grupowa to prędkość obwiedni kilku złożonych fal harmonicznych.

      • +
    +

    Można ją przedstawić jako pochodną prędkości fazowej po wektorze falowym.

    +
    +\[ +v_g = \frac{d\omega}{dk} +\]
    +
    +
    +

    1.2 Równanie d’Alemberta

    +

    Q: Opisać równanie d’Alemberta w 3 wymiarach. Do jakich fal się odnosi?

    +

    A:

    +

    Równanie d’Alemberta w 3 wymiarach to równanie różniczkowe drugiego rzędu, które opisuje ruch falowy w ośrodku jednorodnym i izotropowym.

    +
    +\[ +v^2 \Delta \psi = \frac{\partial^2 \psi}{\partial t^2} +\]
    +

    chyba elaborate? TODO

    +
    +
    +

    1.3 energia stw

    +

    Q: Opisać problem energii w ujęciu relatywistycznym

    +

    A:

    +

    W ujęciu relatywistycznym energia jest sumą energji spoczynkowej i kinetycznej.

    +
    +\[ +E = m c^2 = \gamma m_0 c^2 = E_0 + E_k +\]
    +

    ref: jezierski wzory 1 str 113

    +
    +
    +

    1.4 problem pędu relatywistycznego

    +

    **Q:$$ Problem pędu relatywistycznego

    +

    A:

    +

    Pęd relatywistyczny to pęd, który uwzględnia zależność masy od prędkości.

    +
    +\[ +p = \gamma m v +\]
    +

    ELABORATE

    +
    +
    +

    1.5 Relatywistyczny efekt Dopplera

    +

    Q: Relatywistyczny efekt dopplera

    +
    +
    + + +
    +
    +
    +
    + + + +
    + + + +
    + +
    +
    +
    + + +
    + +
    +© Copyright 2023, Maciej Szeptuch. +Created using Sphinx 4.2.0.
    +Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

    +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) + + + + \ No newline at end of file diff --git a/assets/notes/eio_cw.html b/assets/notes/eio_cw.html index 2acfc6ab..16f43cf7 100644 --- a/assets/notes/eio_cw.html +++ b/assets/notes/eio_cw.html @@ -327,7 +327,7 @@

    Nawigacja

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    Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio_cw/eio_0000.00.00.html b/assets/notes/eio_cw/eio_0000.00.00.html index 0529d617..3a2af92a 100644 --- a/assets/notes/eio_cw/eio_0000.00.00.html +++ b/assets/notes/eio_cw/eio_0000.00.00.html @@ -124,7 +124,7 @@

    Nawigacja

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    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio_cw/eio_2024.02.27.html b/assets/notes/eio_cw/eio_2024.02.27.html index 238bdf6e..30bba0c2 100644 --- a/assets/notes/eio_cw/eio_2024.02.27.html +++ b/assets/notes/eio_cw/eio_2024.02.27.html @@ -168,7 +168,7 @@

    Nawigacja

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    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio_cw/eio_2024.03.05.html b/assets/notes/eio_cw/eio_2024.03.05.html index 9cef24ff..528e10b9 100644 --- a/assets/notes/eio_cw/eio_2024.03.05.html +++ b/assets/notes/eio_cw/eio_2024.03.05.html @@ -145,7 +145,7 @@

    Nawigacja

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    Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio_cw/eio_2024.03.12.html b/assets/notes/eio_cw/eio_2024.03.12.html index e7797f64..80eea01d 100644 --- a/assets/notes/eio_cw/eio_2024.03.12.html +++ b/assets/notes/eio_cw/eio_2024.03.12.html @@ -132,7 +132,7 @@

    Nawigacja

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    Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio_cw/eio_2024.03.15.html b/assets/notes/eio_cw/eio_2024.03.15.html index 2312b6e3..14e54dd6 100644 --- a/assets/notes/eio_cw/eio_2024.03.15.html +++ b/assets/notes/eio_cw/eio_2024.03.15.html @@ -132,7 +132,7 @@

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    Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio_cw/eio_2024.03.18.html b/assets/notes/eio_cw/eio_2024.03.18.html index d2ff33a1..5fc80d0b 100644 --- a/assets/notes/eio_cw/eio_2024.03.18.html +++ b/assets/notes/eio_cw/eio_2024.03.18.html @@ -130,7 +130,7 @@

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    Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio_cw/eio_2024.03.19.html b/assets/notes/eio_cw/eio_2024.03.19.html index 03e3b9a9..c99ee64c 100644 --- a/assets/notes/eio_cw/eio_2024.03.19.html +++ b/assets/notes/eio_cw/eio_2024.03.19.html @@ -132,7 +132,7 @@

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    Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/notes/eio_cw/eio_2024.04.23.html b/assets/notes/eio_cw/eio_2024.04.23.html index 0d40dcee..e926cef3 100644 --- a/assets/notes/eio_cw/eio_2024.04.23.html +++ b/assets/notes/eio_cw/eio_2024.04.23.html @@ -132,7 +132,7 @@

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"czas-wlasny-procesu"], [60, "czas-wlasny-procesu"]], "Definicja": [[2, null], [6, null], [19, null], [28, null], [46, null], [47, null], [97, null], [109, null]], "Definicja pochodnej": [[19, null], [24, null]], "Diagram Minkowskiego i interwa\u0142 czasoprzestrzenny": [[54, "diagram-minkowskiego-i-interwal-czasoprzestrzenny"], [59, "diagram-minkowskiego-i-interwal-czasoprzestrzenny"]], "Diagram minkowskiego": [[54, null], [60, null]], "Diamagnetyki": [[54, "diamagnetyki"], [70, "diamagnetyki"]], "Dipol elektryczny": [[54, "dipol-elektryczny"], [64, "dipol-elektryczny"]], "Do\u015bwiadczenie Michaelsona-Marleya": [[54, "doswiadczenie-michaelsona-marleya"], [59, "doswiadczenie-michaelsona-marleya"]], "Do\u015bwiadczenie Yanga": [[54, "doswiadczenie-yanga"], [77, "doswiadczenie-yanga"]], "Drgania Harmoniczne t\u0142umione": [[46, "drgania-harmoniczne-tlumione"], [47, "drgania-harmoniczne-tlumione"]], "Drgania elektromagnetyczne i pr\u0105d przemienny": [[54, "drgania-elektromagnetyczne-i-prad-przemienny"], [71, "drgania-elektromagnetyczne-i-prad-przemienny"]], "Drgania wymuszone i rezonans": [[46, "drgania-wymuszone-i-rezonans"], [47, "drgania-wymuszone-i-rezonans"]], "Dyfrakcja \u015bwiat\u0142a na szczelninie": [[54, "dyfrakcja-swiatla-na-szczelninie"], [78, "dyfrakcja-swiatla-na-szczelninie"]], "Dynamika": [[46, "dynamika"], [47, "dynamika"]], "Dynamika Uk\u0142adu Punkt\u00f3w": [[46, "dynamika-ukladu-punktow"], [47, "dynamika-ukladu-punktow"]], "Dynamika cia\u0142o o zmiennej masie": [[46, "dynamika-cialo-o-zmiennej-masie"], [47, "dynamika-cialo-o-zmiennej-masie"]], "Dynamika planet wed\u0142ug Newtona": [[46, "dynamika-planet-wedlug-newtona"], [47, "dynamika-planet-wedlug-newtona"]], "Dynamika rakiety": [[46, "dynamika-rakiety"], [47, "dynamika-rakiety"]], "Dynamika ruchu krzywoliniowego punktu materialnego": [[46, "dynamika-ruchu-krzywoliniowego-punktu-materialnego"], [47, "dynamika-ruchu-krzywoliniowego-punktu-materialnego"]], "Dynamika ruchu obrotowego bry\u0142y wzgl\u0119dem osi g\u0142\u00f3wnej": [[46, "dynamika-ruchu-obrotowego-bryly-wzgledem-osi-glownej"], [47, "dynamika-ruchu-obrotowego-bryly-wzgledem-osi-glownej"]], "Dynamika ruchu po okr\u0119gu": [[46, "dynamika-ruchu-po-okregu"], [47, "dynamika-ruchu-po-okregu"]], "Dzia\u0142ania elementarne, kt\u00f3re nie zmieniaj\u0105 rozwi\u0105za\u0144": [[2, "dzialania-elementarne-ktore-nie-zmieniaja-rozwiazan"], [8, "dzialania-elementarne-ktore-nie-zmieniaja-rozwiazan"]], "Dzia\u0142ania na macierzach": [[2, "dzialania-na-macierzach"], [6, "dzialania-na-macierzach"]], "Dzia\u0142ania na pochodnych": [[19, "dzialania-na-pochodnych"], [24, "dzialania-na-pochodnych"]], "Dzia\u0142ania na wektorach": [[2, "dzialania-na-wektorach"], [8, "dzialania-na-wektorach"], [46, "dzialania-na-wektorach"], [47, "dzialania-na-wektorach"]], "Dzia\u0142anie pola magnetycznego na przewodnik z pr\u0105dem": [[54, "dzialanie-pola-magnetycznego-na-przewodnik-z-pradem"], [68, "dzialanie-pola-magnetycznego-na-przewodnik-z-pradem"]], "Dzielenie": [[2, "dzielenie"], [4, "dzielenie"]], "Efekt Dopplera": [[54, "efekt-dopplera"], [58, "efekt-dopplera"]], "Eksploracja uk\u0142adu s\u0142onecznego": [[46, "eksploracja-ukladu-slonecznego"], [47, "eksploracja-ukladu-slonecznego"]], "Ekstrema lokalne": [[19, "ekstrema-lokalne"], [29, "ekstrema-lokalne"]], "Elektromagnetyzm i Optyka": [[54, "elektromagnetyzm-i-optyka"], [55, "elektromagnetyzm-i-optyka"]], "Elektromagnetyzm i Optyka - \u0106WICZENIA": [[80, "elektromagnetyzm-i-optyka-cwiczenia"], [81, "elektromagnetyzm-i-optyka-cwiczenia"]], "Elektrostatyka \u0142adunk\u00f3w punktowych": [[54, "elektrostatyka-ladunkow-punktowych"], [63, "elektrostatyka-ladunkow-punktowych"]], "Elementy Mechaniki P\u0142yn\u00f3w": [[46, "elementy-mechaniki-plynow"], [47, "elementy-mechaniki-plynow"]], "Elipsoida bezw\u0142adno\u015bci": [[46, "elipsoida-bezwladnosci"], [47, "elipsoida-bezwladnosci"]], "Endomorfizm": [[2, null], [13, null]], "Endomorfizmy": [[2, "endomorfizmy"], [13, "endomorfizmy"]], "Energia": [[46, "energia"], [47, "energia"]], "Energia Kinetyczna": [[46, "energia-kinetyczna"], [47, "energia-kinetyczna"]], "Energia Potencjalna": [[46, "energia-potencjalna"], [46, "id2"], [47, "energia-potencjalna"], [47, "id2"]], "Energia kinetyczna bry\u0142y sztywnej": [[46, "energia-kinetyczna-bryly-sztywnej"], [47, "energia-kinetyczna-bryly-sztywnej"]], "Energia pola elektrycznego": [[54, "energia-pola-elektrycznego"], [66, "energia-pola-elektrycznego"]], "Energia w p\u0142askim ruchu krzywoliniowym": [[46, "energia-w-plaskim-ruchu-krzywoliniowym"], [47, "energia-w-plaskim-ruchu-krzywoliniowym"]], "Fala o sta\u0142ym kszta\u0142cie": [[54, null], [56, null]], "Fala okresowa (periodyczna)": [[54, null], [56, null]], "Fale Spr\u0119\u017cyste": [[54, "fale-sprezyste"], [57, "fale-sprezyste"]], "Fale elektromagnetyczne jako konsekwencja r\u00f3wna\u0144 Maxwell\u2019a": [[54, "fale-elektromagnetyczne-jako-konsekwencja-rownan-maxwella"], [74, "fale-elektromagnetyczne-jako-konsekwencja-rownan-maxwella"]], "Fale na powierzchni wody": [[54, "fale-na-powierzchni-wody"], [57, "fale-na-powierzchni-wody"]], "Fale spr\u0119\u017cyste": [[54, null], [56, null]], "Fale stoj\u0105ce": [[54, "fale-stojace"], [58, "fale-stojace"]], "Ferromagnetyki": [[54, "ferromagnetyki"], [70, "ferromagnetyki"]], "Forma kwadratowa \u2013 przyk\u0142\u0105d": [[97, "forma-kwadratowa-przyklad"], [117, "forma-kwadratowa-przyklad"]], "Funkcja": [[19, "funkcja"], [20, "funkcja"]], "Funkcja Gamma Eulera": [[97, "funkcja-gamma-eulera"], [101, "funkcja-gamma-eulera"]], "Funkcja \\beta": [[97, "funkcja-beta"], [101, "funkcja-beta"]], "Funkcje ci\u0105g\u0142e": [[19, "funkcje-ciagle"], [21, "funkcje-ciagle"]], "Funkcje harmoniczne": [[54, null], [62, null]], "Funkcje uwik\u0142ane": [[97, "funkcje-uwiklane"], [107, "funkcje-uwiklane"]], "Funkcje wielu zmiennych": [[97, "funkcje-wielu-zmiennych"], [105, "funkcje-wielu-zmiennych"]], "Generatory": [[2, null], [9, null]], "Geometria Analityczna": [[2, "geometria-analityczna"], [8, "geometria-analityczna"]], "Gradient": [[48, null], [49, null]], "Granice: - Tricki": [[38, "granice-tricki"], [45, "granice-tricki"]], "Grawitacja": [[46, "grawitacja"], [47, "grawitacja"]], "G\u0119sto\u015b\u0107": [[46, null], [47, null]], "Hydrostatyka": [[46, "hydrostatyka"], [47, "hydrostatyka"]], "I Prawo Kepplera": [[46, null], [47, null]], "I \\to \\mathbb{R}^n": [[97, "i-to-mathbb-r-n"], [105, "i-to-mathbb-r-n"]], "II Prawo Kepplera": [[46, null], [47, null]], "II Zasada Dynamiki Newtona": [[46, null], [47, null]], "II zasada dynamiki dla ruchu obrotowego": [[46, null], [47, null]], "III Prawo Kepplera": [[46, null], [47, null]], "III Zasada Dynamiki Newtona": [[46, null], [47, null]], "Iloczyn hermitowski": [[2, null], [18, null]], "Iloczyn kartezja\u0144ski:": [[19, "iloczyn-kartezjanski"], [20, "iloczyn-kartezjanski"]], "Indukcyjno\u015b\u0107 wzajemna i w\u0142\u0105sna": [[54, "indukcyjnosc-wzajemna-i-wlasna"], [70, "indukcyjnosc-wzajemna-i-wlasna"]], "Interferencja dw\u00f3ch fal": [[54, "interferencja-dwoch-fal"], [58, "interferencja-dwoch-fal"]], "Interferencja \u015bwiat\u0142\u0105 w cienkich b\u0142onkach": [[54, "interferencja-swiatla-w-cienkich-blonkach"], [78, "interferencja-swiatla-w-cienkich-blonkach"]], "Interpretacja krzywej": [[19, "interpretacja-krzywej"], [23, "interpretacja-krzywej"]], "Interwa\u0142 czasoprzestrzenny": [[54, null], [60, null]], "Izometrie liniowe": [[2, null], [17, null]], "J\u0105dro": [[2, null], [12, null]], "Kiedy mo\u017cna dokona\u0107 diagonalizacji macierzy odwzorowania?": [[2, null], [14, null]], "Kinematyka prostego ruchu harmonicznego": [[46, "kinematyka-prostego-ruchu-harmonicznego"], [47, "kinematyka-prostego-ruchu-harmonicznego"]], "Kolokwim ze statystyki (statystycznych metod poracowania danych pomiarowych)": [[93, "kolokwim-ze-statystyki-statystycznych-metod-poracowania-danych-pomiarowych"], [96, "kolokwim-ze-statystyki-statystycznych-metod-poracowania-danych-pomiarowych"]], "Kondensator cylindryczny": [[54, "kondensator-cylindryczny"], [66, "kondensator-cylindryczny"]], "Kondensator kulisty": [[54, "kondensator-kulisty"], [66, "kondensator-kulisty"]], "Kondensator p\u0142aski": [[54, "kondensator-plaski"], [66, "kondensator-plaski"]], "Konsekwencje transformacji Lorentza": [[54, "konsekwencje-transformacji-lorentza"], [60, "konsekwencje-transformacji-lorentza"]], "Konsekwencje zasady zachowania momentu p\u0119du": [[46, "konsekwencje-zasady-zachowania-momentu-pedu"], [47, "konsekwencje-zasady-zachowania-momentu-pedu"]], "Kryteria por\u00f3wnawcze": [[97, "kryteria-porownawcze"], [100, "kryteria-porownawcze"]], "Krzywa ca\u0142kowa": [[97, null], [102, null]], "Krzywe Sto\u017ckowe": [[19, "krzywe-stozkowe"], [37, "krzywe-stozkowe"]], "Laboratorium Fizyczne 1": [[93, "laboratorium-fizyczne-1"], [94, "laboratorium-fizyczne-1"]], "Laplasian pola skalarnego": [[54, "laplasian-pola-skalarnego"], [62, "laplasian-pola-skalarnego"]], "Laplasian pola wektorowego": [[54, "laplasian-pola-wektorowego"], [62, "laplasian-pola-wektorowego"]], "Lekcja 1 - zadanie domowe": [[51, "lekcja-1-zadanie-domowe"], [53, "lekcja-1-zadanie-domowe"]], "Linie pola magnetycznego": [[54, "linie-pola-magnetycznego"], [68, "linie-pola-magnetycznego"]], "Linie \u015bwiata": [[54, null], [59, null]], "Liniowa zale\u017cno\u015b\u0107 wektor\u00f3w": [[2, "liniowa-zaleznosc-wektorow"], [9, "liniowa-zaleznosc-wektorow"]], "Liniowo\u015b\u0107*": [[19, null], [32, null]], "Lu\u017ane notatki": [[93, "luzne-notatki"], [95, "luzne-notatki"]], "Macierz Przej\u015bcia": [[2, "macierz-przejscia"], [2, "id1"], [10, "macierz-przejscia"], [11, "macierz-przejscia"]], "Macierz Wro\u0144skiego": [[97, null], [104, null]], "Macierz diagonalna": [[2, null], [6, null]], "Macierz odwrotna": [[2, "macierz-odwrotna"], [6, "macierz-odwrotna"]], "Macierz przej\u015bcia": [[2, null], [10, null]], "Macierz zerowa": [[2, null], [6, null]], "Macierze": [[2, "macierze"], [6, "macierze"]], "Macierze ortogonalne": [[2, null], [17, null]], "Macierze symetryczne i antysymetryczne": [[2, "macierze-symetryczne-i-antysymetryczne"], [6, "macierze-symetryczne-i-antysymetryczne"]], "Magnetyczne w\u0142asno\u015bci materii": [[54, "magnetyczne-wlasnosci-materii"], [70, "magnetyczne-wlasnosci-materii"]], "Maksimum lokalne": [[19, null], [26, null]], "Manewr grawitacyjny": [[46, "manewr-grawitacyjny"], [47, "manewr-grawitacyjny"]], "Masa Ziemii": [[46, null], [47, null]], "Matematyka 1": [[19, "matematyka-1"], [20, "matematyka-1"]], "Matematyka 1 - \u0107wiczenia": [[38, "matematyka-1-cwiczenia"], [39, "matematyka-1-cwiczenia"]], "Matematyka 2": [[97, "matematyka-2"], [98, "matematyka-2"]], "Matematyka 2 - \u0106wiczenia": [[118, "matematyka-2-cwiczenia"], [119, "matematyka-2-cwiczenia"]], "Matma": [[46, "matma"], [47, "matma"]], "Mechanika": [[46, "mechanika"], [47, "mechanika"]], "Mechanika - \u0106wiczenia": [[48, "mechanika-cwiczenia"], [49, "mechanika-cwiczenia"]], "Metoda Przewidywania": [[97, "metoda-przewidywania"], [103, "metoda-przewidywania"]], "Metoda Uzmienniania sta\u0142ej:": [[97, "metoda-uzmienniania-stalej"], [103, "metoda-uzmienniania-stalej"]], "Metoda czynnika ca\u0142kuj\u0105cego": [[118, "metoda-czynnika-calkujacego"], [120, "metoda-czynnika-calkujacego"]], "Metoda lagrange\u2019a": [[97, "metoda-lagrangea"], [116, "metoda-lagrangea"]], "Metoda ortogonalizacji Gramma-Schmidta": [[2, "metoda-ortogonalizacji-gramma-schmidta"], [16, "metoda-ortogonalizacji-gramma-schmidta"]], "Metody obliczania ca\u0142ek": [[19, "metody-obliczania-calek"], [32, "metody-obliczania-calek"]], "Moc": [[46, "moc"], [47, "moc"]], "Moc w obowodach pr\u0105du przemiennego": [[54, "moc-w-obowodach-pradu-przemiennego"], [72, "moc-w-obowodach-pradu-przemiennego"]], "Moment Bezw\u0142adno\u015bci": [[46, null], [47, null]], "Moment P\u0119du Bry\u0142y Sztywnej": [[46, "moment-pedu-bryly-sztywnej"], [47, "moment-pedu-bryly-sztywnej"]], "Moment P\u0119du uk\u0142adu cz\u0105stek": [[46, "moment-pedu-ukladu-czastek"], [47, "moment-pedu-ukladu-czastek"]], "Moment Si\u0142y": [[46, "moment-sily"], [47, "moment-sily"]], "Moment bezw\u0142adno\u015bci": [[46, "moment-bezwladnosci"], [47, "moment-bezwladnosci"]], "Nat\u0119\u017cenie Fali": [[54, "natezenie-fali"], [57, "natezenie-fali"]], "Nat\u0119\u017cenie i napi\u0119cie skuteczne": [[54, "natezenie-i-napiecie-skuteczne"], [72, "natezenie-i-napiecie-skuteczne"]], "Niezmienniczo\u015b\u0107 interwa\u0142u czasoprzestrznennego": [[54, "niezmienniczosc-interwalu-czasoprzestrznennego"], [60, "niezmienniczosc-interwalu-czasoprzestrznennego"]], "Norma": [[2, null], [15, null]], "Obj\u0119to\u015b\u0107 kuli": [[46, "objetosc-kuli"], [47, "objetosc-kuli"]], "Obliczanie macierzy odwrotnej": [[2, "obliczanie-macierzy-odwrotnej"], [7, "obliczanie-macierzy-odwrotnej"]], "Obszar": [[97, null], [111, null]], "Obszar normalny": [[97, null], [110, null]], "Obwody pr\u0105du sta\u0142ego": [[54, "obwody-pradu-stalego"], [67, "obwody-pradu-stalego"]], "Obwody pr\u0105du sta\u0142ego, energia i moc pr\u0105du elektrycznego": [[54, "obwody-pradu-stalego-energia-i-moc-pradu-elektrycznego"], [66, "obwody-pradu-stalego-energia-i-moc-pradu-elektrycznego"]], "Obw\u00f3d LC": [[54, "obwod-lc"], [71, "obwod-lc"]], "Obw\u00f3d RC": [[54, "obwod-rc"], [71, "obwod-rc"]], "Obw\u00f3d RL": [[54, "obwod-rl"], [71, "obwod-rl"]], "Obw\u00f3d RLC (Drgania EM t\u0142umione)": [[54, "obwod-rlc-drgania-em-tlumione"], [71, "obwod-rlc-drgania-em-tlumione"]], "Oddzia\u0142ywanie grawitacjyne": [[46, "oddzialywanie-grawitacjyne"], [47, "oddzialywanie-grawitacjyne"]], "Oddzia\u0142ywanie grawitacyjne mas kulistych": [[46, "oddzialywanie-grawitacyjne-mas-kulistych"], [47, "oddzialywanie-grawitacyjne-mas-kulistych"]], "Oddzia\u0142ywanie magnetyczne dw\u00f3ch przewodnik\u00f3w z pr\u0105dem": [[54, "oddzialywanie-magnetyczne-dwoch-przewodnikow-z-pradem"], [69, "oddzialywanie-magnetyczne-dwoch-przewodnikow-z-pradem"]], "Odkszta\u0142canie belek": [[46, "odksztalcanie-belek"], [47, "odksztalcanie-belek"]], "Odkszta\u0142cenia spr\u0119\u017cyste": [[46, "odksztalcenia-sprezyste"], [47, "odksztalcenia-sprezyste"]], "Odkszta\u0142cenie plastyczne i granica wytrzyma\u0142o\u015bci (wytrzyma\u0142o\u015b\u0107 na zerwanie)": [[46, "odksztalcenie-plastyczne-i-granica-wytrzymalosci-wytrzymalosc-na-zerwanie"], [47, "odksztalcenie-plastyczne-i-granica-wytrzymalosci-wytrzymalosc-na-zerwanie"]], "Odniesienia": [[46, "odniesienia"], [47, "odniesienia"]], "Odwzorowania Liniowe": [[2, "odwzorowania-liniowe"], [11, "odwzorowania-liniowe"]], "Og\u00f3lna Formu\u0142a na pr\u0119dko\u015b\u0107 fali spr\u0119\u017cystej": [[54, "ogolna-formula-na-predkosc-fali-sprezystej"], [57, "ogolna-formula-na-predkosc-fali-sprezystej"]], "Og\u00f3lny opis przep\u0142ywu p\u0142yn\u00f3w": [[46, "ogolny-opis-przeplywu-plynow"], [47, "ogolny-opis-przeplywu-plynow"]], "Operator rzutowania": [[2, null], [13, null]], "Operatory r\u00f3\u017cniczkowe": [[54, "operatory-rozniczkowe"], [62, "operatory-rozniczkowe"]], "Opis krzywych sto\u017ckowych w biegunowym uk\u0142adzie wsp\u00f3\u0142rz\u0119dnych": [[46, "opis-krzywych-stozkowych-w-biegunowym-ukladzie-wspolrzednych"], [47, "opis-krzywych-stozkowych-w-biegunowym-ukladzie-wspolrzednych"]], "Opis przep\u0142ywu laminarnego cieczy przez rur\u0119": [[46, "opis-przeplywu-laminarnego-cieczy-przez-rure"], [47, "opis-przeplywu-laminarnego-cieczy-przez-rure"]], "Optyka falowa": [[54, "optyka-falowa"], [77, "optyka-falowa"]], "Optyka geometryczna": [[54, "optyka-geometryczna"], [76, "optyka-geometryczna"]], "Oznaczenia": [[19, "oznaczenia"], [28, "oznaczenia"]], "O\u015brodek dyspersyjny": [[54, "osrodek-dyspersyjny"], [54, null], [57, "osrodek-dyspersyjny"], [57, null]], "O\u015brodek spr\u0119\u017cysty": [[54, null], [56, null]], "PRawo Ohma": [[54, "prawo-ohma"], [67, "prawo-ohma"]], "Paradoks bli\u017ani\u0105t": [[54, "paradoks-blizniat"], [61, "paradoks-blizniat"]], "Paradoks hydrostatyczny": [[46, null], [47, null]], "Paramagnetyki": [[54, "paramagnetyki"], [70, "paramagnetyki"]], "Pochodna funkcji wyk\u0142adniczej": [[19, "pochodna-funkcji-wykladniczej"], [24, "pochodna-funkcji-wykladniczej"]], "Pochodna funkcji z\u0142o\u017conych": [[97, "pochodna-funkcji-zlozonych"], [106, "pochodna-funkcji-zlozonych"]], "Pochodna kierunkowa": [[97, "pochodna-kierunkowa"], [106, "pochodna-kierunkowa"]], "Pochodna logarytmiczna": [[19, "pochodna-logarytmiczna"], [25, "pochodna-logarytmiczna"]], "Pochodne cz\u0105stkowe": [[97, "pochodne-czastkowe"], [106, "pochodne-czastkowe"]], "Pochodne funkcji trygonometrycznych": [[19, "pochodne-funkcji-trygonometrycznych"], [24, "pochodne-funkcji-trygonometrycznych"]], "Podobie\u0144\u015btwo hydrodynamiczne i liczba Raynoldsa": [[46, "podobienstwo-hydrodynamiczne-i-liczba-raynoldsa"], [47, "podobienstwo-hydrodynamiczne-i-liczba-raynoldsa"]], "Podprzestrzenie liniowe": [[2, "podprzestrzenie-liniowe"], [9, "podprzestrzenie-liniowe"]], "Podstawienie": [[19, null], [33, null]], "Podstawowe rodzaje materia\u0142\u00f3w agneteycznych": [[54, "podstawowe-rodzaje-materialow-agneteycznych"], [70, "podstawowe-rodzaje-materialow-agneteycznych"]], "Podstawy Kinematyki": [[46, "podstawy-kinematyki"], [47, "podstawy-kinematyki"]], "Podstawy eksploracji przestrzeni kosmicznej": [[46, "podstawy-eksploracji-przestrzeni-kosmicznej"], [47, "podstawy-eksploracji-przestrzeni-kosmicznej"]], "Podzia\u0142 fal ze wzgl\u0119du na kierunek propagacji": [[54, "podzial-fal-ze-wzgledu-na-kierunek-propagacji"], [56, "podzial-fal-ze-wzgledu-na-kierunek-propagacji"]], "Pod\u0142u\u017cny Efekt Dopplera": [[54, "podluzny-efekt-dopplera"], [61, "podluzny-efekt-dopplera"]], "Poj\u0119cie R\u00f3\u017cniczki": [[19, "pojecie-rozniczki"], [28, "pojecie-rozniczki"]], "Poj\u0119cie monopola magnetycznego": [[54, "pojecie-monopola-magnetycznego"], [70, "pojecie-monopola-magnetycznego"]], "Poj\u0119cie pola": [[54, "pojecie-pola"], [62, "pojecie-pola"]], "Poj\u0119cie pola magnetycznego i si\u0142a Lorentza": [[54, "pojecie-pola-magnetycznego-i-sila-lorentza"], [68, "pojecie-pola-magnetycznego-i-sila-lorentza"]], "Poj\u0119cie r\u00f3\u017cniczkowalno\u015bci": [[97, "pojecie-rozniczkowalnosci"], [106, "pojecie-rozniczkowalnosci"]], "Poj\u0119cie strugi": [[46, "pojecie-strugi"], [47, "pojecie-strugi"]], "Poj\u0119cie strumienia pola elektrycznego": [[54, "pojecie-strumienia-pola-elektrycznego"], [65, "pojecie-strumienia-pola-elektrycznego"]], "Pole grawitacyjne wytworzone przez sfer\u0119": [[46, "pole-grawitacyjne-wytworzone-przez-sfere"], [47, "pole-grawitacyjne-wytworzone-przez-sfere"]], "Pole magnetyczne": [[54, "pole-magnetyczne"], [68, "pole-magnetyczne"]], "Pole magnetyczne wytworzone przez pr\u0105d elektryczny": [[54, "pole-magnetyczne-wytworzone-przez-prad-elektryczny"], [68, "pole-magnetyczne-wytworzone-przez-prad-elektryczny"]], "Pole pod wykresem": [[19, "pole-pod-wykresem"], [36, "pole-pod-wykresem"]], "Pole potencjalne": [[97, null], [108, null]], "Pole powierzchni sfery": [[46, "pole-powierzchni-sfery"], [47, "pole-powierzchni-sfery"]], "Poprzeczny efekt dopplera": [[54, "poprzeczny-efekt-dopplera"], [61, "poprzeczny-efekt-dopplera"]], "Posta\u0107 og\u00f3lna r\u00f3wnania r\u00f3\u017cniczkowego o zmienych rozdzielonych": [[97, null], [102, null]], "Posta\u0107 trygonometryczna liczyb zespolonej": [[2, "postac-trygonometryczna-liczyb-zespolonej"], [4, "postac-trygonometryczna-liczyb-zespolonej"]], "Potencja\u0142": [[46, null], [47, null]], "Powstawanie t\u0119czy": [[54, "powstawanie-teczy"], [76, "powstawanie-teczy"]], "Pow\u0142oka liniowa": [[2, null], [10, null]], "Praca": [[46, "praca"], [47, "praca"]], "Praca i Energia": [[46, "praca-i-energia"], [47, "praca-i-energia"]], "Prawa Kepplera": [[46, "prawa-kepplera"], [47, "prawa-kepplera"]], "Prawa Kirchhoffa": [[54, "prawa-kirchhoffa"], [67, "prawa-kirchhoffa"]], "Prawo Ampera": [[54, "prawo-ampera"], [69, "prawo-ampera"]], "Prawo Bernoilli\u2019ego": [[46, "prawo-bernoilliego"], [47, "prawo-bernoilliego"]], "Prawo Biot-Savarta": [[54, "prawo-biot-savarta"], [69, "prawo-biot-savarta"]], "Prawo Curie": [[54, null], [70, null]], "Prawo Gausa": [[54, "prawo-gausa"], [65, "prawo-gausa"]], "Prawo Gauss\u2019a z \\epsilon_r": [[54, null], [66, null]], "Prawo Hagena Poisseli": [[46, null], [47, null]], "Prawo Hooke\u2019a": [[46, null], [47, null]], "Prawo Hooke\u2019a dla 1-wymiarowego rozci\u0105gania": [[46, "prawo-hookea-dla-1-wymiarowego-rozciagania"], [47, "prawo-hookea-dla-1-wymiarowego-rozciagania"]], "Prawo Lentza": [[54, "prawo-lentza"], [69, "prawo-lentza"]], "Prawo Pascala": [[46, null], [47, null]], "Prawo archimedesa": [[46, null], [47, null]], "Prawo bezw\u0142adno\u015bci aka I Zasada Dynamiki Newtona": [[46, "prawo-bezwladnosci-aka-i-zasada-dynamiki-newtona"], [47, "prawo-bezwladnosci-aka-i-zasada-dynamiki-newtona"]], "Prawo gaussa dla magnetyzmu": [[54, "prawo-gaussa-dla-magnetyzmu"], [70, "prawo-gaussa-dla-magnetyzmu"]], "Prawo odbicia": [[54, null], [76, null]], "Prawo odbicia i za\u0142amania": [[54, "prawo-odbicia-i-zalamania"], [76, "prawo-odbicia-i-zalamania"]], "Problem pr\u0119dko\u015bci \u015bwiat\u0142a i postulaty Einsteina": [[54, "problem-predkosci-swiatla-i-postulaty-einsteina"], [59, "problem-predkosci-swiatla-i-postulaty-einsteina"]], "Przestrzenie Unitarne": [[2, "przestrzenie-unitarne"], [18, "przestrzenie-unitarne"]], "Przestrzenie euklidesowe": [[2, "przestrzenie-euklidesowe"], [2, "id2"], [15, "przestrzenie-euklidesowe"], [17, "przestrzenie-euklidesowe"]], "Przestrzenie wektorowe": [[2, "przestrzenie-wektorowe"], [9, "przestrzenie-wektorowe"]], "Przestrze\u0144 Wektorowa": [[2, null], [9, null]], "Przestrze\u0144 euklidesowa": [[2, null], [15, null]], "Przestrzze\u0144 Fazowa": [[46, null], [47, null]], "Przez podstawienie": [[19, "przez-podstawienie"], [33, "przez-podstawienie"]], "Przydatne w\u0142asno\u015bci": [[38, "przydatne-wlasnosci"], [40, "przydatne-wlasnosci"]], "Przyk\u0142ad": [[46, null], [47, null], [54, "przyklad"], [54, "id1"], [56, "przyklad"], [62, "przyklad"], [97, null], [100, null]], "Przyk\u0142ad 2": [[97, "przyklad-2"], [102, "przyklad-2"]], "Przyk\u0142adowa tabela przebiegu zmienno\u015bci funkcji:": [[38, "przykladowa-tabela-przebiegu-zmiennosci-funkcji"], [40, "przykladowa-tabela-przebiegu-zmiennosci-funkcji"]], "Przyk\u0142ady": [[46, "przyklady"], [47, "przyklady"]], "Przyk\u0142ady funkcji ci\u0105g\u0142ych": [[19, "przyklady-funkcji-ciaglych"], [22, "przyklady-funkcji-ciaglych"]], "Przyk\u0142ady funkcji pochodnych": [[19, "przyklady-funkcji-pochodnych"], [24, "przyklady-funkcji-pochodnych"]], "Przyk\u0142ady funkcji, kt\u00f3re nie maj\u0105 pochodnych": [[19, "przyklady-funkcji-ktore-nie-maja-pochodnych"], [24, "przyklady-funkcji-ktore-nie-maja-pochodnych"]], "Przyk\u0142ady wst\u0119pne": [[46, "przyklady-wstepne"], [47, "przyklady-wstepne"]], "Przyk\u0142\u0105d 1": [[97, "przyklad-1"], [102, "przyklad-1"]], "Przyk\u0142\u0105d 3": [[97, "przyklad-3"], [102, "przyklad-3"]], "Przyspieszenie": [[46, "przyspieszenie"], [47, "przyspieszenie"]], "Przyspieszenie styczne i normalne": [[46, "przyspieszenie-styczne-i-normalne"], [47, "przyspieszenie-styczne-i-normalne"]], "Przyspieszenie \u015brednie i chwilowe": [[46, null], [47, null]], "Przy\u0142ad 4": [[97, "przylad-4"], [102, "przylad-4"]], "Pr\u0119dko\u015b\u0107": [[46, "predkosc"], [47, "predkosc"]], "Pr\u0119dko\u015b\u0107 chwilowa": [[46, null], [47, null]], "Pr\u0119dko\u015b\u0107 fazowa": [[54, null], [58, null]], "Pr\u0119dko\u015b\u0107 \u015arednia": [[46, null], [47, null]], "P\u0119d": [[46, "ped"], [46, null], [47, "ped"], [47, null]], "P\u0142aszczyzny w przestrzeni \\mathbb{R}^3": [[2, "plaszczyzny-w-przestrzeni-mathbb-r-3"], [8, "plaszczyzny-w-przestrzeni-mathbb-r-3"]], "Rachunek Ca\u0142kowy": [[19, "rachunek-calkowy"], [32, "rachunek-calkowy"]], "Rachunek ca\u0142kowy": [[46, "rachunek-calkowy"], [47, "rachunek-calkowy"]], "Rachunek ca\u0142kowy wielu zmiennych": [[97, "rachunek-calkowy-wielu-zmiennych"], [109, "rachunek-calkowy-wielu-zmiennych"]], "Rachunek r\u00f3\u017cniczkowy": [[46, "rachunek-rozniczkowy"], [47, "rachunek-rozniczkowy"]], "Regu\u0142a de l\u2019Hospitala": [[19, "regula-de-lhospitala"], [19, null], [27, "regula-de-lhospitala"], [27, null]], "Relatywistyczna transformacja przyspieszenia": [[54, "relatywistyczna-transformacja-przyspieszenia"], [60, "relatywistyczna-transformacja-przyspieszenia"]], "Relatywistyczne dodawanie pr\u0119dko\u015b\u0107i": [[54, "relatywistyczne-dodawanie-predkosci"], [60, "relatywistyczne-dodawanie-predkosci"]], "Relatywistyczne skr\u00f3cenie d\u0142ugo\u015bci": [[54, "relatywistyczne-skrocenie-dlugosci"], [60, "relatywistyczne-skrocenie-dlugosci"]], "Relatywistyczne wyd\u0142u\u017cenie czasu": [[54, "relatywistyczne-wydluzenie-czasu"], [60, "relatywistyczne-wydluzenie-czasu"]], "Relatywistyczne zw\u0119\u017cenie wi\u0105zki promieniowania": [[54, "relatywistyczne-zwezenie-wiazki-promieniowania"], [61, "relatywistyczne-zwezenie-wiazki-promieniowania"]], "Reper Bazowy (aka Baza uporz\u0105dkowana)": [[2, null], [10, null]], "Reprezencacja macierzowa odwzorowa\u0144 liniowych": [[2, null], [12, null]], "Reprezentacja ruchu drgaj\u0105cego w przestrzeni fazowej": [[46, "reprezentacja-ruchu-drgajacego-w-przestrzeni-fazowej"], [47, "reprezentacja-ruchu-drgajacego-w-przestrzeni-fazowej"]], "Reszta Peano": [[19, "reszta-peano"], [29, "reszta-peano"]], "Rezonans akustyczny": [[54, "rezonans-akustyczny"], [58, "rezonans-akustyczny"]], "Rozwi\u0105zanie problemu coshiego": [[97, null], [102, null]], "Rozwi\u0105zywanie uk\u0142ad\u00f3w r\u00f3wna\u0144 m \\neq n": [[2, "rozwiazywanie-ukladow-rownan-m-neq-n"], [7, "rozwiazywanie-ukladow-rownan-m-neq-n"]], "Ruch Falowy": [[54, "ruch-falowy"], [56, "ruch-falowy"]], "Ruch drgaj\u0105cy": [[46, "ruch-drgajacy"], [47, "ruch-drgajacy"]], "Ruch pod wp\u0142ywem si\u0142y spr\u0119\u017cystej": [[46, "ruch-pod-wplywem-sily-sprezystej"], [47, "ruch-pod-wplywem-sily-sprezystej"]], "Ruch punktu materialnego na p\u0142aszczy\u017anie": [[46, "ruch-punktu-materialnego-na-plaszczyznie"], [47, "ruch-punktu-materialnego-na-plaszczyznie"]], "Ruch w centralnym polu grawitacyjnym": [[46, "ruch-w-centralnym-polu-grawitacyjnym"], [47, "ruch-w-centralnym-polu-grawitacyjnym"]], "Ruch wzgl\u0119dny i transformacja galileusza": [[46, "ruch-wzgledny-i-transformacja-galileusza"], [47, "ruch-wzgledny-i-transformacja-galileusza"]], "Ruch \u0142adunk\u00f3w w jednorodnym polu magnetycznym": [[54, "ruch-ladunkow-w-jednorodnym-polu-magnetycznym"], [73, "ruch-ladunkow-w-jednorodnym-polu-magnetycznym"]], "Ruch \u0142udki w poprzek rzeki (przyk\u0142ad 2)": [[46, "ruch-ludki-w-poprzek-rzeki-przyklad-2"], [47, "ruch-ludki-w-poprzek-rzeki-przyklad-2"]], "Ruch \u0142\u0105dunk\u00f3w w jednorodnym polu elektrycznym": [[54, "ruch-ladunkow-w-jednorodnym-polu-elektrycznym"], [73, "ruch-ladunkow-w-jednorodnym-polu-elektrycznym"]], "Ruch \u0142\u0105dunk\u00f3w w prostopad\u0142ych jednorodnych polach E i B": [[54, "ruch-ladunkow-w-prostopadlych-jednorodnych-polach-e-i-b"], [73, "ruch-ladunkow-w-prostopadlych-jednorodnych-polach-e-i-b"]], "Rzut Ortogonalny": [[2, "rzut-ortogonalny"], [16, "rzut-ortogonalny"]], "Rzut uko\u015bny (przyk\u0142ad 1)": [[46, "rzut-ukosny-przyklad-1"], [47, "rzut-ukosny-przyklad-1"]], "R\u00f3wnania II liniowe rz\u0119du": [[97, "rownania-ii-liniowe-rzedu"], [104, "rownania-ii-liniowe-rzedu"]], "R\u00f3wnania Maxwella w og\u00f3lnej postaci r\u00f3\u017cniczkowej": [[54, "rownania-maxwella-w-ogolnej-postaci-rozniczkowej"], [73, "rownania-maxwella-w-ogolnej-postaci-rozniczkowej"]], "R\u00f3wnania Maxwella w pr\u00f3\u017cni w postaci ca\u0142kowej": [[54, "rownania-maxwella-w-prozni-w-postaci-calkowej"], [73, "rownania-maxwella-w-prozni-w-postaci-calkowej"]], "R\u00f3wnania Maxwell\u2019a w pr\u00f3\u017cni w postaci r\u00f3\u017cniczkowej": [[54, "rownania-maxwella-w-prozni-w-postaci-rozniczkowej"], [73, "rownania-maxwella-w-prozni-w-postaci-rozniczkowej"]], "R\u00f3wnania R\u00f3\u017cniczkowe": [[97, "rownania-rozniczkowe"], [102, "rownania-rozniczkowe"]], "R\u00f3wnania R\u00f3\u017cniczkowe o zmiennych rozdzielonych": [[97, "rownania-rozniczkowe-o-zmiennych-rozdzielonych"], [102, "rownania-rozniczkowe-o-zmiennych-rozdzielonych"]], "R\u00f3wnania liniowe": [[97, "rownania-liniowe"], [103, "rownania-liniowe"]], "R\u00f3wnania liniowe 1 rz\u0119du": [[97, "rownania-liniowe-1-rzedu"], [103, "rownania-liniowe-1-rzedu"]], "R\u00f3wnanie D\u2019Aramberta": [[54, "rownanie-daramberta"], [56, "rownanie-daramberta"]], "R\u00f3wnoczesna interferencja i dyfrakcja na dwuch szczelinach": [[54, "rownoczesna-interferencja-i-dyfrakcja-na-dwuch-szczelinach"], [78, "rownoczesna-interferencja-i-dyfrakcja-na-dwuch-szczelinach"]], "R\u00f3\u017cniczkowa posta\u0107 Prawa Ohma": [[54, "rozniczkowa-postac-prawa-ohma"], [67, "rozniczkowa-postac-prawa-ohma"]], "R\u00f3\u017cniczkowanie": [[19, "rozniczkowanie"], [24, "rozniczkowanie"]], "STW": [[54, null], [59, null]], "Schemat rozwi\u0105zywania zada\u0144:": [[2, "schemat-rozwiazywania-zadan"], [14, "schemat-rozwiazywania-zadan"]], "Siatka dyfkrakcyjna": [[54, "siatka-dyfkrakcyjna"], [78, "siatka-dyfkrakcyjna"]], "Siatka dyfrakcyjna (rozdzielczo\u015b\u0107)": [[54, "siatka-dyfrakcyjna-rozdzielczosc"], [79, "siatka-dyfrakcyjna-rozdzielczosc"]], "Si\u0142a Centralna": [[46, "sila-centralna"], [47, "sila-centralna"]], "Si\u0142a Coriolisa \\vec{F_c}": [[46, null], [47, null]], "Si\u0142a Zachowawcza": [[46, "sila-zachowawcza"], [46, null], [47, "sila-zachowawcza"], [47, null]], "Si\u0142a no\u015bna dzia\u0142aj\u0105ca na skrzyd\u0142o": [[46, null], [47, null]], "Si\u0142a oporu w o\u015brodku lepkim": [[46, "sila-oporu-w-osrodku-lepkim"], [47, "sila-oporu-w-osrodku-lepkim"]], "Si\u0142a tarcia": [[46, null], [47, null]], "Si\u0142y dzia\u0142aj\u0105ce na cia\u0142a na powierzchni ziemii": [[46, "sily-dzialajace-na-ciala-na-powierzchni-ziemii"], [47, "sily-dzialajace-na-ciala-na-powierzchni-ziemii"]], "Si\u0142y tarcia": [[46, "sily-tarcia"], [47, "sily-tarcia"]], "Spadek w powietrzu": [[46, "spadek-w-powietrzu"], [47, "spadek-w-powietrzu"]], "Spektrum": [[2, null], [14, null]], "Spektrum proste": [[2, null], [14, null]], "Sporz\u0105dzanie wykres\u00f3w funkcji": [[19, "sporzadzanie-wykresow-funkcji"], [31, "sporzadzanie-wykresow-funkcji"]], "Sprz\u0119\u017cenie": [[2, "sprzezenie"], [4, "sprzezenie"]], "Sprz\u0119\u017cenie w postaci wyk\u0142adniczej": [[2, null], [4, null]], "Staczanie walca z r\u00f3\u0153ni pochy\u0142ej": [[46, "staczanie-walca-z-rooeni-pochylej"], [47, "staczanie-walca-z-rooeni-pochylej"]], "Statyka Bry\u0142y Sztywnej": [[46, "statyka-bryly-sztywnej"], [47, "statyka-bryly-sztywnej"]], "Strumie\u0144 pola magnetycznego": [[54, "strumien-pola-magnetycznego"], [68, "strumien-pola-magnetycznego"]], "Suma element\u00f3w na przek\u0105tnych": [[2, "suma-elementow-na-przekatnych"], [6, "suma-elementow-na-przekatnych"]], "Superpozycja drga\u0144 prostych": [[46, "superpozycja-drgan-prostych"], [47, "superpozycja-drgan-prostych"]], "Symbole Nieoznaczone czyli co z tym robi\u0107?": [[38, "symbole-nieoznaczone-czyli-co-z-tym-robic"], [45, "symbole-nieoznaczone-czyli-co-z-tym-robic"]], "Szczegulne przypadki p\u00f3l wektorowych": [[54, "szczegulne-przypadki-pol-wektorowych"], [62, "szczegulne-przypadki-pol-wektorowych"]], "Szczeg\u00f3lna Teoria Wzgl\u0119dno\u015bci": [[54, "szczegolna-teoria-wzglednosci"], [59, "szczegolna-teoria-wzglednosci"]], "Szczeg\u00f3lne przypadki ca\u0142ek na przedzia\u0142ach nieograniczonych": [[97, "szczegolne-przypadki-calek-na-przedzialach-nieograniczonych"], [100, "szczegolne-przypadki-calek-na-przedzialach-nieograniczonych"]], "Szeregi": [[97, "szeregi"], [100, "szeregi"]], "Szukanie warto\u015bci w\u0142asnych": [[2, "szukanie-wartosci-wlasnych"], [13, "szukanie-wartosci-wlasnych"]], "Tarcie Statyczne": [[46, "tarcie-statyczne"], [47, "tarcie-statyczne"]], "Tarcie statyczne": [[46, null], [47, null]], "Tarcie toczne": [[46, "tarcie-toczne"], [47, "tarcie-toczne"]], "Tensor": [[46, null], [47, null]], "Transformacja Lorentza": [[54, "transformacja-lorentza"], [59, "transformacja-lorentza"]], "Transformator": [[54, "transformator"], [70, "transformator"]], "Triksy": [[38, "triksy"], [40, "triksy"]], "Tw. Boltzmana-Weierstrassa": [[97, null], [105, null]], "Tw. Gaussa-Ostrogradzkiego": [[97, null], [114, null]], "Tw. Schwartza": [[97, null], [106, null]], "Twierdzenie": [[2, null], [6, null], [19, null], [19, null], [29, null], [36, null], [97, null], [109, null]], "Twierdzenie AGH": [[19, null], [27, null]], "Twierdzenie Bezuta": [[19, null], [21, null]], "Twierdzenie Coushy\u2019ego": [[19, null], [26, null]], "Twierdzenie Furiera": [[46, null], [47, null]], "Twierdzenie Lagrange\u2019a o warto\u015bci \u015bredniej": [[19, null], [26, null]], "Twierdzenie Steinera": [[46, "twierdzenie-steinera"], [47, "twierdzenie-steinera"]], "Twierdzenie o 4 dzia\u0142aniach dla funkcji ci\u0105g\u0142ych": [[19, null], [22, null]], "Twierdzenie o N-Bazach": [[2, null], [10, null]], "Twierdzenie o ci\u0105g\u0142o\u015bci funkcji odwrotnej": [[19, null], [22, null]], "Twierdzenie o ci\u0105g\u0142o\u015bci funkcji r\u00f3\u017cniczkowalnej": [[19, null], [24, null]], "Twierdzenie o ci\u0105g\u0142o\u015bci funkcji z\u0142o\u017conej": [[19, null], [22, null]], "Twierdzenie o elipsoidzie bezw\u0142adno\u015bci": [[46, null], [47, null]], "Twierdzenie o geneowaniu podprzestrzeni \\mathbb{R}^n": [[2, null], [9, null]], "Twierdzenie o istnieniu rozwi\u0105za\u0144 r\u00f3wnania r\u00f3\u017cniczkowego": [[97, null], [102, null]], "Twierdzenie o lokalnym zachowaniu znaku": [[19, null], [21, null]], "Twierdzenie o osi\u0105ganiu kres\u00f3w": [[19, null], [22, null]], "Twierdzenie o r\u00f3\u017cniczkowalno\u015bci z\u0142o\u017ce\u0144 funkcji r\u00f3\u017cniczkowalnych": [[19, null], [24, null]], "Twierdzenie o sta\u0142ej ca\u0142kowania": [[19, null], [32, null]], "Twierdzenie o wypuk\u0142o\u015bci": [[19, null], [30, null]], "Twierdzenie o zerowaniu si\u0119 pochodnych w maksimum lokalnym": [[19, null], [26, null]], "T\u0142umienie i wymuszenie": [[46, "tlumienie-i-wymuszenie"], [47, "tlumienie-i-wymuszenie"]], "Uk\u0142ad ortonormalny": [[2, null], [15, null]], "Uk\u0142ad r\u00f3wna\u0144": [[2, "uklad-rownan"], [7, "uklad-rownan"]], "Uk\u0142ad wsp\u00f3\u0142rz\u0119dnych sferyczny": [[54, "uklad-wspolrzednych-sferyczny"], [62, "uklad-wspolrzednych-sferyczny"]], "Uk\u0142ady Odniesienia": [[46, "uklady-odniesienia"], [47, "uklady-odniesienia"]], "Uk\u0142ady nieinercjalne i si\u0142y bezw\u0142adno\u015bci": [[46, "uklady-nieinercjalne-i-sily-bezwladnosci"], [47, "uklady-nieinercjalne-i-sily-bezwladnosci"]], "Uk\u0142ady r\u00f3wna\u0144 liniowych": [[2, "uklady-rownan-liniowych"], [7, "uklady-rownan-liniowych"]], "Uwagi wst\u0119pne": [[54, "uwagi-wstepne"], [56, "uwagi-wstepne"]], "Wachad\u0142o Fizyczne": [[46, "wachadlo-fizyczne"], [47, "wachadlo-fizyczne"]], "Wachad\u0142o Torsyjne": [[46, "wachadlo-torsyjne"], [47, "wachadlo-torsyjne"]], "Wachad\u0142o matematyczne": [[46, "wachadlo-matematyczne"], [47, "wachadlo-matematyczne"]], "Wektor Pointing\u2019a": [[54, "wektor-pointinga"], [75, "wektor-pointinga"]], "Wektor unormowany": [[2, null], [15, null]], "Wektory": [[2, "wektory"], [8, "wektory"]], "Wektory elektryczne": [[54, "wektory-elektryczne"], [66, "wektory-elektryczne"]], "Wektory ortogonalne": [[2, null], [15, null]], "Wewn\u0119trzny i orbitalny moment p\u0119du": [[46, "wewnetrzny-i-orbitalny-moment-pedu"], [47, "wewnetrzny-i-orbitalny-moment-pedu"]], "Wnioski Tw. 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"\u015bpiewaj\u0105c": [54, 58], "\u015br": [46, 47], "\u015brednich": [46, 47], "\u015brednici": [97, 112], "\u015bredniej": 35, "\u015brodek": [97, 111, 112], "\u015brodka": [19, 37, 46, 47, 97, 112], "\u015brodkiem": [46, 47], "\u015brodku": [46, 47], "\u015brodowisku": [54, 57], "\u015brubi": [46, 47], "\u015bwiata": 60, "\u015bwiat\u0142a": [60, 76], "\u015bwiat\u0142o": [54, 61, 76], "\u015bwiat\u0142\u0105": 61, "\u015bwietln": [54, 61], "\u017arud\u0142a": [91, 92], "\u017arud\u0142em": [54, 58], "\u017ar\u00f3d\u0142a": [54, 67], "\u017ar\u00f3d\u0142em": [54, 68], "\u017ar\u00f3d\u0142o": [54, 67, 71], "\u017ar\u00f3d\u0142owego": 124, "\u017cadnego": [2, 9], "\u017cadszego": [54, 78], "\u017ce": [2, 3, 4, 6, 9, 10, 13, 14, 15, 17, 19, 21, 24, 28, 29, 35, 46, 47, 54, 57, 59, 60, 69, 97, 100, 102, 103, 104, 105, 107, 109, 114, 116], "\u017cebi": [93, 96, 97, 109]}, "titles": ["<no title>", "<no title>", "ALGEBRA", "ALGEBRA", "Cia\u0142o liczb zespolonych", "Zestaw 2 zadanie 4, przyk\u0142ad a", "Macierze", "Obliczanie macierzy odwrotnej", "Dzia\u0142ania elementarne, kt\u00f3re nie zmieniaj\u0105 rozwi\u0105za\u0144", "Przestrzenie wektorowe", "Baza", "Macierz Przej\u015bcia", "<no title>", "Endomorfizmy", "W\u0142asno\u015bci spektrum", "Przestrzenie euklidesowe", "Metoda ortogonalizacji Gramma-Schmidta", "Przestrzenie euklidesowe", "Przestrzenie Unitarne", "Matematyka 1", "Matematyka 1", "Ci\u0105gi", "Przyk\u0142ady funkcji ci\u0105g\u0142ych", "Interpretacja krzywej", "R\u00f3\u017cniczkowanie", "Pochodna logarytmiczna", "Zastosowanie pochodnych", "Wnioski Tw. Lagrange\u2019a", "Poj\u0119cie R\u00f3\u017cniczki", "Reszta Peano", "Zadania", "Sporz\u0105dzanie wykres\u00f3w funkcji", "Rachunek Ca\u0142kowy", "Przez podstawienie", "Ca\u0142kowanie u\u0142amk\u00f3w prostych", "Ca\u0142ka Oznaczona (Rimana)", "Zastosowania ca\u0142ek", "Krzywe Sto\u017ckowe", "Matematyka 1 - \u0107wiczenia", "Matematyka 1 - \u0107wiczenia", "Przydatne w\u0142asno\u015bci", "Ca\u0142ki - Istotne wzory / wyprowadzenia", "<no title>", "Ca\u0142ki Rimmana - tricki / przydatne wzory", "<no title>", "Granice: - Tricki", "Mechanika", "Mechanika", "Mechanika - \u0106wiczenia", "Mechanika - \u0106wiczenia", "<no title>", "ANGIELSKI", "ANGIELSKI", "Lekcja 1 - zadanie domowe", "Elektromagnetyzm i Optyka", "Elektromagnetyzm i Optyka", "Ruch Falowy", "Fale Spr\u0119\u017cyste", "Efekt Dopplera", "Szczeg\u00f3lna Teoria Wzgl\u0119dno\u015bci", "Niezmienniczo\u015b\u0107 interwa\u0142u czasoprzestrznennego", "Wybrane efekty relatywistyczne", "Poj\u0119cie pola", "Elektrostatyka \u0142adunk\u00f3w punktowych", "Dipol elektryczny", "Prawo Gausa", "Kondensator p\u0142aski", "PRawo Ohma", "Pole magnetyczne", "Prawo Ampera", "Indukcyjno\u015b\u0107 wzajemna i w\u0142\u0105sna", "Drgania elektromagnetyczne i pr\u0105d przemienny", "Moc w obowodach pr\u0105du przemiennego", "Ruch \u0142\u0105dunk\u00f3w w jednorodnym polu elektrycznym", "Fale elektromagnetyczne jako konsekwencja r\u00f3wna\u0144 Maxwell\u2019a", "Wektor Pointing\u2019a", "Optyka geometryczna", "Optyka falowa", "Interferencja \u015bwiat\u0142\u0105 w cienkich b\u0142onkach", "Siatka dyfrakcyjna (rozdzielczo\u015b\u0107)", "Elektromagnetyzm i Optyka - \u0106WICZENIA", "Elektromagnetyzm i Optyka - \u0106WICZENIA", "zestaw 0 zadanie 1", "Zestaw 1 Zadanie 1", "zestaw 2 zadanie 2", "Zestaw 2 zadanie 16", "Zestaw 3", "Zestaw 2 zadanie 15", "Zestaw 6 zadanie 5", "Zestaw 9 Zadanie 8", "Zestaw 11 Zadanie 1", "<no title>", "<no title>", "Laboratorium Fizyczne 1", "Laboratorium Fizyczne 1", "Wst\u0119p", "Kolokwim ze statystyki (statystycznych metod poracowania danych pomiarowych)", "Matematyka 2", "Matematyka 2", "Ca\u0142ka powierzchniowa niezorientowana", "Ca\u0142ki dla przecia\u0142\u00f3w niesko\u0144czonych", "Funkcja Gamma Eulera", "R\u00f3wnania R\u00f3\u017cniczkowe", "R\u00f3wnania liniowe", "R\u00f3wnania II liniowe rz\u0119du", "Funkcje wielu zmiennych", "Pochodne cz\u0105stkowe", "Funkcje uwik\u0142ane", "<no title>", "Rachunek ca\u0142kowy wielu zmiennych", "obliczanie ca\u0142ki podw\u00f3jnej", "Ca\u0142ka potr\u00f3jna", "Ca\u0142ki Krzywoliniowe", "<no title>", "Ca\u0142ka powierzchniowa zorientowana", "<no title>", "Metoda lagrange\u2019a", "Forma kwadratowa \u2013 przyk\u0142\u0105d", "Matematyka 2 - \u0106wiczenia", "Matematyka 2 - \u0106wiczenia", "Metoda czynnika ca\u0142kuj\u0105cego", "Zestaw 9 Zadanie 1", "Zestaw 10 zadanie 2a", "Zestaw 11 Zadanie 1", "Wst\u0119p"], "titleterms": {"0": [38, 45, 80, 82, 97, 109], "1": [2, 3, 19, 20, 38, 39, 46, 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"czas-wlasny-procesu"], [60, "czas-wlasny-procesu"]], "Czterowektory": [[54, "czterowektory"], [80, "czterowektory"]], "Definicja": [[2, null], [6, null], [19, null], [28, null], [46, null], [47, null], [100, null], [112, null]], "Definicja pochodnej": [[19, null], [24, null]], "Diagram Minkowskiego i interwa\u0142 czasoprzestrzenny": [[54, "diagram-minkowskiego-i-interwal-czasoprzestrzenny"], [59, "diagram-minkowskiego-i-interwal-czasoprzestrzenny"]], "Diagram minkowskiego": [[54, null], [60, null]], "Diamagnetyki": [[54, "diamagnetyki"], [70, "diamagnetyki"]], "Dipol elektryczny": [[54, "dipol-elektryczny"], [64, "dipol-elektryczny"]], "Do\u015bwiadczenie Michaelsona-Marleya": [[54, "doswiadczenie-michaelsona-marleya"], [59, "doswiadczenie-michaelsona-marleya"]], "Do\u015bwiadczenie Yanga": [[54, "doswiadczenie-yanga"], [77, "doswiadczenie-yanga"]], "Do\u015bwiadczennie yanga w kontek\u015bcie fotonowego modelu \u015bwiat\u0142a": [[54, "doswiadczennie-yanga-w-kontekscie-fotonowego-modelu-swiatla"], [81, "doswiadczennie-yanga-w-kontekscie-fotonowego-modelu-swiatla"]], "Drgania Harmoniczne t\u0142umione": [[46, "drgania-harmoniczne-tlumione"], [47, "drgania-harmoniczne-tlumione"]], "Drgania elektromagnetyczne i pr\u0105d przemienny": [[54, "drgania-elektromagnetyczne-i-prad-przemienny"], [71, "drgania-elektromagnetyczne-i-prad-przemienny"]], "Drgania wymuszone i rezonans": [[46, "drgania-wymuszone-i-rezonans"], [47, "drgania-wymuszone-i-rezonans"]], "Dyfrakcja \u015bwiat\u0142a na szczelninie": [[54, "dyfrakcja-swiatla-na-szczelninie"], [78, "dyfrakcja-swiatla-na-szczelninie"]], "Dynamika": [[46, "dynamika"], [47, "dynamika"]], "Dynamika Uk\u0142adu Punkt\u00f3w": [[46, "dynamika-ukladu-punktow"], [47, "dynamika-ukladu-punktow"]], "Dynamika cia\u0142o o zmiennej masie": [[46, "dynamika-cialo-o-zmiennej-masie"], [47, "dynamika-cialo-o-zmiennej-masie"]], "Dynamika planet wed\u0142ug Newtona": [[46, "dynamika-planet-wedlug-newtona"], [47, "dynamika-planet-wedlug-newtona"]], "Dynamika rakiety": [[46, "dynamika-rakiety"], [47, "dynamika-rakiety"]], "Dynamika ruchu krzywoliniowego punktu materialnego": [[46, "dynamika-ruchu-krzywoliniowego-punktu-materialnego"], [47, "dynamika-ruchu-krzywoliniowego-punktu-materialnego"]], "Dynamika ruchu obrotowego bry\u0142y wzgl\u0119dem osi g\u0142\u00f3wnej": [[46, "dynamika-ruchu-obrotowego-bryly-wzgledem-osi-glownej"], [47, "dynamika-ruchu-obrotowego-bryly-wzgledem-osi-glownej"]], "Dynamika ruchu po okr\u0119gu": [[46, "dynamika-ruchu-po-okregu"], [47, "dynamika-ruchu-po-okregu"]], "Dzia\u0142ania elementarne, kt\u00f3re nie zmieniaj\u0105 rozwi\u0105za\u0144": [[2, "dzialania-elementarne-ktore-nie-zmieniaja-rozwiazan"], [8, "dzialania-elementarne-ktore-nie-zmieniaja-rozwiazan"]], "Dzia\u0142ania na macierzach": [[2, "dzialania-na-macierzach"], [6, "dzialania-na-macierzach"]], "Dzia\u0142ania na pochodnych": [[19, "dzialania-na-pochodnych"], [24, "dzialania-na-pochodnych"]], "Dzia\u0142ania na wektorach": [[2, "dzialania-na-wektorach"], [8, "dzialania-na-wektorach"], [46, "dzialania-na-wektorach"], [47, "dzialania-na-wektorach"]], "Dzia\u0142anie pola magnetycznego na przewodnik z pr\u0105dem": [[54, "dzialanie-pola-magnetycznego-na-przewodnik-z-pradem"], [68, "dzialanie-pola-magnetycznego-na-przewodnik-z-pradem"]], "Dzielenie": [[2, "dzielenie"], [4, "dzielenie"]], "Efekt Dopplera": [[54, "efekt-dopplera"], [58, "efekt-dopplera"]], "Eksploracja uk\u0142adu s\u0142onecznego": [[46, "eksploracja-ukladu-slonecznego"], [47, "eksploracja-ukladu-slonecznego"]], "Ekstrema lokalne": [[19, "ekstrema-lokalne"], [29, "ekstrema-lokalne"]], "Elektromagnetyzm i Optyka": [[54, "elektromagnetyzm-i-optyka"], [55, "elektromagnetyzm-i-optyka"]], "Elektromagnetyzm i Optyka - \u0106WICZENIA": [[83, "elektromagnetyzm-i-optyka-cwiczenia"], [84, "elektromagnetyzm-i-optyka-cwiczenia"]], "Elektrostatyka \u0142adunk\u00f3w punktowych": [[54, "elektrostatyka-ladunkow-punktowych"], [63, "elektrostatyka-ladunkow-punktowych"]], "Elementy Mechaniki P\u0142yn\u00f3w": [[46, "elementy-mechaniki-plynow"], [47, "elementy-mechaniki-plynow"]], "Elementy OTW": [[54, "elementy-otw"], [81, "elementy-otw"]], "Elipsoida bezw\u0142adno\u015bci": [[46, "elipsoida-bezwladnosci"], [47, "elipsoida-bezwladnosci"]], "Endomorfizm": [[2, null], [13, null]], "Endomorfizmy": [[2, "endomorfizmy"], [13, "endomorfizmy"]], "Energia": [[46, "energia"], [47, "energia"]], "Energia Kinetyczna": [[46, "energia-kinetyczna"], [47, "energia-kinetyczna"]], "Energia Potencjalna": [[46, "energia-potencjalna"], [46, "id2"], [47, "energia-potencjalna"], [47, "id2"]], "Energia kinetyczna bry\u0142y sztywnej": [[46, "energia-kinetyczna-bryly-sztywnej"], [47, "energia-kinetyczna-bryly-sztywnej"]], "Energia pola elektrycznego": [[54, "energia-pola-elektrycznego"], [66, "energia-pola-elektrycznego"]], "Energia w p\u0142askim ruchu krzywoliniowym": [[46, "energia-w-plaskim-ruchu-krzywoliniowym"], [47, "energia-w-plaskim-ruchu-krzywoliniowym"]], "Fala o sta\u0142ym kszta\u0142cie": [[54, null], [56, null]], "Fala okresowa (periodyczna)": [[54, null], [56, null]], "Fale Spr\u0119\u017cyste": [[54, "fale-sprezyste"], [57, "fale-sprezyste"]], "Fale elektromagnetyczne jako konsekwencja r\u00f3wna\u0144 Maxwell\u2019a": [[54, "fale-elektromagnetyczne-jako-konsekwencja-rownan-maxwella"], [74, "fale-elektromagnetyczne-jako-konsekwencja-rownan-maxwella"]], "Fale na powierzchni wody": [[54, "fale-na-powierzchni-wody"], [57, "fale-na-powierzchni-wody"]], "Fale spr\u0119\u017cyste": [[54, null], [56, null]], "Fale stoj\u0105ce": [[54, "fale-stojace"], [58, "fale-stojace"]], "Ferromagnetyki": [[54, "ferromagnetyki"], [70, "ferromagnetyki"]], "Forma kwadratowa \u2013 przyk\u0142\u0105d": [[100, "forma-kwadratowa-przyklad"], [120, "forma-kwadratowa-przyklad"]], "Funkcja": [[19, "funkcja"], [20, "funkcja"]], "Funkcja Gamma Eulera": [[100, "funkcja-gamma-eulera"], [104, "funkcja-gamma-eulera"]], "Funkcja \\beta": [[100, "funkcja-beta"], [104, "funkcja-beta"]], "Funkcje ci\u0105g\u0142e": [[19, "funkcje-ciagle"], [21, "funkcje-ciagle"]], "Funkcje harmoniczne": [[54, null], [62, null]], "Funkcje uwik\u0142ane": [[100, "funkcje-uwiklane"], [110, "funkcje-uwiklane"]], "Funkcje wielu zmiennych": [[100, "funkcje-wielu-zmiennych"], [108, "funkcje-wielu-zmiennych"]], "Generatory": [[2, null], [9, null]], "Geometria Analityczna": [[2, "geometria-analityczna"], [8, "geometria-analityczna"]], "Gradient": [[48, null], [49, null]], "Granice: - Tricki": [[38, "granice-tricki"], [45, "granice-tricki"]], "Grawitacja": [[46, "grawitacja"], [47, "grawitacja"]], "G\u0119sto\u015b\u0107": [[46, null], [47, null]], "Hydrostatyka": [[46, "hydrostatyka"], [47, "hydrostatyka"]], "I Prawo Kepplera": [[46, null], [47, null]], "I \\to \\mathbb{R}^n": [[100, "i-to-mathbb-r-n"], [108, "i-to-mathbb-r-n"]], "II Prawo Kepplera": [[46, null], [47, null]], "II Zasada Dynamiki Newtona": [[46, null], [47, null]], "II zasada dynamiki dla ruchu obrotowego": [[46, null], [47, null]], "III Prawo Kepplera": [[46, null], [47, null]], "III Zasada Dynamiki Newtona": [[46, null], [47, null]], "Iloczyn hermitowski": [[2, null], [18, null]], "Iloczyn kartezja\u0144ski:": [[19, "iloczyn-kartezjanski"], [20, "iloczyn-kartezjanski"]], "Indukcyjno\u015b\u0107 wzajemna i w\u0142\u0105sna": [[54, "indukcyjnosc-wzajemna-i-wlasna"], [70, "indukcyjnosc-wzajemna-i-wlasna"]], "Interferencja dw\u00f3ch fal": [[54, "interferencja-dwoch-fal"], [58, "interferencja-dwoch-fal"]], "Interferencja \u015bwiat\u0142\u0105 w cienkich b\u0142onkach": [[54, "interferencja-swiatla-w-cienkich-blonkach"], [78, "interferencja-swiatla-w-cienkich-blonkach"]], "Interpretacja krzywej": [[19, "interpretacja-krzywej"], [23, "interpretacja-krzywej"]], "Interwa\u0142 czasoprzestrzenny": [[54, null], [60, null]], "Izometrie liniowe": [[2, null], [17, null]], "J\u0105dro": [[2, null], [12, null]], "Kiedy mo\u017cna dokona\u0107 diagonalizacji macierzy odwzorowania?": [[2, null], [14, null]], "Kinematyka prostego ruchu harmonicznego": [[46, "kinematyka-prostego-ruchu-harmonicznego"], [47, "kinematyka-prostego-ruchu-harmonicznego"]], "Kolokwim ze statystyki (statystycznych metod poracowania danych pomiarowych)": [[96, "kolokwim-ze-statystyki-statystycznych-metod-poracowania-danych-pomiarowych"], [99, "kolokwim-ze-statystyki-statystycznych-metod-poracowania-danych-pomiarowych"]], "Kondensator cylindryczny": [[54, "kondensator-cylindryczny"], [66, "kondensator-cylindryczny"]], "Kondensator kulisty": [[54, "kondensator-kulisty"], [66, "kondensator-kulisty"]], "Kondensator p\u0142aski": [[54, "kondensator-plaski"], [66, "kondensator-plaski"]], "Konsekwencje transformacji Lorentza": [[54, "konsekwencje-transformacji-lorentza"], [60, "konsekwencje-transformacji-lorentza"]], "Konsekwencje zasady zachowania momentu p\u0119du": [[46, "konsekwencje-zasady-zachowania-momentu-pedu"], [47, "konsekwencje-zasady-zachowania-momentu-pedu"]], "Kryteria por\u00f3wnawcze": [[100, "kryteria-porownawcze"], [103, "kryteria-porownawcze"]], "Krzywa ca\u0142kowa": [[100, null], [105, null]], "Krzywe Sto\u017ckowe": [[19, "krzywe-stozkowe"], [37, "krzywe-stozkowe"]], "Laboratorium Fizyczne 1": [[96, "laboratorium-fizyczne-1"], [97, "laboratorium-fizyczne-1"]], "Laplasian pola skalarnego": [[54, "laplasian-pola-skalarnego"], [62, "laplasian-pola-skalarnego"]], "Laplasian pola wektorowego": [[54, "laplasian-pola-wektorowego"], [62, "laplasian-pola-wektorowego"]], "Lekcja 1 - zadanie domowe": [[51, "lekcja-1-zadanie-domowe"], [53, "lekcja-1-zadanie-domowe"]], "Linie pola magnetycznego": [[54, "linie-pola-magnetycznego"], [68, "linie-pola-magnetycznego"]], "Linie \u015bwiata": [[54, null], [59, null]], "Liniowa zale\u017cno\u015b\u0107 wektor\u00f3w": [[2, "liniowa-zaleznosc-wektorow"], [9, "liniowa-zaleznosc-wektorow"]], "Liniowo\u015b\u0107*": [[19, null], [32, null]], "Lu\u017ane notatki": [[96, "luzne-notatki"], [98, "luzne-notatki"]], "Macierz Przej\u015bcia": [[2, "macierz-przejscia"], [2, "id1"], [10, "macierz-przejscia"], [11, "macierz-przejscia"]], "Macierz Wro\u0144skiego": [[100, null], [107, null]], "Macierz diagonalna": [[2, null], [6, null]], "Macierz odwrotna": [[2, "macierz-odwrotna"], [6, "macierz-odwrotna"]], "Macierz przej\u015bcia": [[2, null], [10, null]], "Macierz zerowa": [[2, null], [6, null]], "Macierze": [[2, "macierze"], [6, "macierze"]], "Macierze ortogonalne": [[2, null], [17, null]], "Macierze symetryczne i antysymetryczne": [[2, "macierze-symetryczne-i-antysymetryczne"], [6, "macierze-symetryczne-i-antysymetryczne"]], "Magnetyczne w\u0142asno\u015bci materii": [[54, "magnetyczne-wlasnosci-materii"], [70, "magnetyczne-wlasnosci-materii"]], "Maksimum lokalne": [[19, null], [26, null]], "Manewr grawitacyjny": [[46, "manewr-grawitacyjny"], [47, "manewr-grawitacyjny"]], "Masa Ziemii": [[46, null], [47, null]], "Matematyka 1": [[19, "matematyka-1"], [20, "matematyka-1"]], "Matematyka 1 - \u0107wiczenia": [[38, "matematyka-1-cwiczenia"], [39, "matematyka-1-cwiczenia"]], "Matematyka 2": [[100, "matematyka-2"], [101, "matematyka-2"]], "Matematyka 2 - \u0106wiczenia": [[121, "matematyka-2-cwiczenia"], [122, "matematyka-2-cwiczenia"]], "Matma": [[46, "matma"], [47, "matma"]], "Mechanika": [[46, "mechanika"], [47, "mechanika"]], "Mechanika - \u0106wiczenia": [[48, "mechanika-cwiczenia"], [49, "mechanika-cwiczenia"]], "Metoda Przewidywania": [[100, "metoda-przewidywania"], [106, "metoda-przewidywania"]], "Metoda Uzmienniania sta\u0142ej:": [[100, "metoda-uzmienniania-stalej"], [106, "metoda-uzmienniania-stalej"]], "Metoda czynnika ca\u0142kuj\u0105cego": [[121, "metoda-czynnika-calkujacego"], [123, "metoda-czynnika-calkujacego"]], "Metoda lagrange\u2019a": [[100, "metoda-lagrangea"], [119, "metoda-lagrangea"]], "Metoda ortogonalizacji Gramma-Schmidta": [[2, "metoda-ortogonalizacji-gramma-schmidta"], [16, "metoda-ortogonalizacji-gramma-schmidta"]], "Metody obliczania ca\u0142ek": [[19, "metody-obliczania-calek"], [32, "metody-obliczania-calek"]], "Moc": [[46, "moc"], [47, "moc"]], "Moc w obowodach pr\u0105du przemiennego": [[54, "moc-w-obowodach-pradu-przemiennego"], [72, "moc-w-obowodach-pradu-przemiennego"]], "Moment Bezw\u0142adno\u015bci": [[46, null], [47, null]], "Moment P\u0119du Bry\u0142y Sztywnej": [[46, "moment-pedu-bryly-sztywnej"], [47, "moment-pedu-bryly-sztywnej"]], "Moment P\u0119du uk\u0142adu cz\u0105stek": [[46, "moment-pedu-ukladu-czastek"], [47, "moment-pedu-ukladu-czastek"]], "Moment Si\u0142y": [[46, "moment-sily"], [47, "moment-sily"]], "Moment bezw\u0142adno\u015bci": [[46, "moment-bezwladnosci"], [47, "moment-bezwladnosci"]], "Nat\u0119\u017cenie Fali": [[54, "natezenie-fali"], [57, "natezenie-fali"]], "Nat\u0119\u017cenie i napi\u0119cie skuteczne": [[54, "natezenie-i-napiecie-skuteczne"], [72, "natezenie-i-napiecie-skuteczne"]], "Niezmienniczo\u015b\u0107 interwa\u0142u czasoprzestrznennego": [[54, "niezmienniczosc-interwalu-czasoprzestrznennego"], [60, "niezmienniczosc-interwalu-czasoprzestrznennego"]], "Norma": [[2, null], [15, null]], "Obj\u0119to\u015b\u0107 kuli": [[46, "objetosc-kuli"], [47, "objetosc-kuli"]], "Obliczanie macierzy odwrotnej": [[2, "obliczanie-macierzy-odwrotnej"], [7, "obliczanie-macierzy-odwrotnej"]], "Obszar": [[100, null], [114, null]], "Obszar normalny": [[100, null], [113, null]], "Obwody pr\u0105du sta\u0142ego": [[54, "obwody-pradu-stalego"], [67, "obwody-pradu-stalego"]], "Obwody pr\u0105du sta\u0142ego, energia i moc pr\u0105du elektrycznego": [[54, "obwody-pradu-stalego-energia-i-moc-pradu-elektrycznego"], [66, "obwody-pradu-stalego-energia-i-moc-pradu-elektrycznego"]], "Obw\u00f3d LC": [[54, "obwod-lc"], [71, "obwod-lc"]], "Obw\u00f3d RC": [[54, "obwod-rc"], [71, "obwod-rc"]], "Obw\u00f3d RL": [[54, "obwod-rl"], [71, "obwod-rl"]], "Obw\u00f3d RLC (Drgania EM t\u0142umione)": [[54, "obwod-rlc-drgania-em-tlumione"], [71, "obwod-rlc-drgania-em-tlumione"]], "Oddzia\u0142ywanie grawitacjyne": [[46, "oddzialywanie-grawitacjyne"], [47, "oddzialywanie-grawitacjyne"]], "Oddzia\u0142ywanie grawitacyjne mas kulistych": [[46, "oddzialywanie-grawitacyjne-mas-kulistych"], [47, "oddzialywanie-grawitacyjne-mas-kulistych"]], "Oddzia\u0142ywanie magnetyczne dw\u00f3ch przewodnik\u00f3w z pr\u0105dem": [[54, "oddzialywanie-magnetyczne-dwoch-przewodnikow-z-pradem"], [69, "oddzialywanie-magnetyczne-dwoch-przewodnikow-z-pradem"]], "Odkszta\u0142canie belek": [[46, "odksztalcanie-belek"], [47, "odksztalcanie-belek"]], "Odkszta\u0142cenia spr\u0119\u017cyste": [[46, "odksztalcenia-sprezyste"], [47, "odksztalcenia-sprezyste"]], "Odkszta\u0142cenie plastyczne i granica wytrzyma\u0142o\u015bci (wytrzyma\u0142o\u015b\u0107 na zerwanie)": [[46, "odksztalcenie-plastyczne-i-granica-wytrzymalosci-wytrzymalosc-na-zerwanie"], [47, "odksztalcenie-plastyczne-i-granica-wytrzymalosci-wytrzymalosc-na-zerwanie"]], "Odniesienia": [[46, "odniesienia"], [47, "odniesienia"]], "Odwzorowania Liniowe": [[2, "odwzorowania-liniowe"], [11, "odwzorowania-liniowe"]], "Og\u00f3lna Formu\u0142a na pr\u0119dko\u015b\u0107 fali spr\u0119\u017cystej": [[54, "ogolna-formula-na-predkosc-fali-sprezystej"], [57, "ogolna-formula-na-predkosc-fali-sprezystej"]], "Og\u00f3lny opis przep\u0142ywu p\u0142yn\u00f3w": [[46, "ogolny-opis-przeplywu-plynow"], [47, "ogolny-opis-przeplywu-plynow"]], "Operator rzutowania": [[2, null], [13, null]], "Operatory r\u00f3\u017cniczkowe": [[54, "operatory-rozniczkowe"], [62, "operatory-rozniczkowe"]], "Opis krzywych sto\u017ckowych w biegunowym uk\u0142adzie wsp\u00f3\u0142rz\u0119dnych": [[46, "opis-krzywych-stozkowych-w-biegunowym-ukladzie-wspolrzednych"], [47, "opis-krzywych-stozkowych-w-biegunowym-ukladzie-wspolrzednych"]], "Opis przep\u0142ywu laminarnego cieczy przez rur\u0119": [[46, "opis-przeplywu-laminarnego-cieczy-przez-rure"], [47, "opis-przeplywu-laminarnego-cieczy-przez-rure"]], "Optyka falowa": [[54, "optyka-falowa"], [77, "optyka-falowa"]], "Optyka geometryczna": [[54, "optyka-geometryczna"], [76, "optyka-geometryczna"]], "Oznaczenia": [[19, "oznaczenia"], [28, "oznaczenia"]], "O\u015brodek dyspersyjny": [[54, "osrodek-dyspersyjny"], [54, null], [57, "osrodek-dyspersyjny"], [57, null]], "O\u015brodek spr\u0119\u017cysty": [[54, null], [56, null]], "PRawo Ohma": [[54, "prawo-ohma"], [67, "prawo-ohma"]], "Paradoks bli\u017ani\u0105t": [[54, "paradoks-blizniat"], [61, "paradoks-blizniat"]], "Paradoks hydrostatyczny": [[46, null], [47, null]], "Paramagnetyki": [[54, "paramagnetyki"], [70, "paramagnetyki"]], "Pochodna funkcji wyk\u0142adniczej": [[19, "pochodna-funkcji-wykladniczej"], [24, "pochodna-funkcji-wykladniczej"]], "Pochodna funkcji z\u0142o\u017conych": [[100, "pochodna-funkcji-zlozonych"], [109, "pochodna-funkcji-zlozonych"]], "Pochodna kierunkowa": [[100, "pochodna-kierunkowa"], [109, "pochodna-kierunkowa"]], "Pochodna logarytmiczna": [[19, "pochodna-logarytmiczna"], [25, "pochodna-logarytmiczna"]], "Pochodne cz\u0105stkowe": [[100, "pochodne-czastkowe"], [109, "pochodne-czastkowe"]], "Pochodne funkcji trygonometrycznych": [[19, "pochodne-funkcji-trygonometrycznych"], [24, "pochodne-funkcji-trygonometrycznych"]], "Podobie\u0144\u015btwo hydrodynamiczne i liczba Raynoldsa": [[46, "podobienstwo-hydrodynamiczne-i-liczba-raynoldsa"], [47, "podobienstwo-hydrodynamiczne-i-liczba-raynoldsa"]], "Podprzestrzenie liniowe": [[2, "podprzestrzenie-liniowe"], [9, "podprzestrzenie-liniowe"]], "Podstawienie": [[19, null], [33, null]], "Podstawowe rodzaje materia\u0142\u00f3w agneteycznych": [[54, "podstawowe-rodzaje-materialow-agneteycznych"], [70, "podstawowe-rodzaje-materialow-agneteycznych"]], "Podstawy Kinematyki": [[46, "podstawy-kinematyki"], [47, "podstawy-kinematyki"]], "Podstawy eksploracji przestrzeni kosmicznej": [[46, "podstawy-eksploracji-przestrzeni-kosmicznej"], [47, "podstawy-eksploracji-przestrzeni-kosmicznej"]], "Podzia\u0142 fal ze wzgl\u0119du na kierunek propagacji": [[54, "podzial-fal-ze-wzgledu-na-kierunek-propagacji"], [56, "podzial-fal-ze-wzgledu-na-kierunek-propagacji"]], "Pod\u0142u\u017cny Efekt Dopplera": [[54, "podluzny-efekt-dopplera"], [61, "podluzny-efekt-dopplera"]], "Poj\u0119cie R\u00f3\u017cniczki": [[19, "pojecie-rozniczki"], [28, "pojecie-rozniczki"]], "Poj\u0119cie monopola magnetycznego": [[54, "pojecie-monopola-magnetycznego"], [70, "pojecie-monopola-magnetycznego"]], "Poj\u0119cie pola": [[54, "pojecie-pola"], [62, "pojecie-pola"]], "Poj\u0119cie pola magnetycznego i si\u0142a Lorentza": [[54, "pojecie-pola-magnetycznego-i-sila-lorentza"], [68, "pojecie-pola-magnetycznego-i-sila-lorentza"]], "Poj\u0119cie r\u00f3\u017cniczkowalno\u015bci": [[100, "pojecie-rozniczkowalnosci"], [109, "pojecie-rozniczkowalnosci"]], "Poj\u0119cie strugi": [[46, "pojecie-strugi"], [47, "pojecie-strugi"]], "Poj\u0119cie strumienia pola elektrycznego": [[54, "pojecie-strumienia-pola-elektrycznego"], [65, "pojecie-strumienia-pola-elektrycznego"]], "Pole grawitacyjne wytworzone przez sfer\u0119": [[46, "pole-grawitacyjne-wytworzone-przez-sfere"], [47, "pole-grawitacyjne-wytworzone-przez-sfere"]], "Pole magnetyczne": [[54, "pole-magnetyczne"], [68, "pole-magnetyczne"]], "Pole magnetyczne wytworzone przez pr\u0105d elektryczny": [[54, "pole-magnetyczne-wytworzone-przez-prad-elektryczny"], [68, "pole-magnetyczne-wytworzone-przez-prad-elektryczny"]], "Pole pod wykresem": [[19, "pole-pod-wykresem"], [36, "pole-pod-wykresem"]], "Pole potencjalne": [[100, null], [111, null]], "Pole powierzchni sfery": [[46, "pole-powierzchni-sfery"], [47, "pole-powierzchni-sfery"]], "Poprzeczny efekt dopplera": [[54, "poprzeczny-efekt-dopplera"], [61, "poprzeczny-efekt-dopplera"]], "Posta\u0107 og\u00f3lna r\u00f3wnania r\u00f3\u017cniczkowego o zmienych rozdzielonych": [[100, null], [105, null]], "Posta\u0107 trygonometryczna liczyb zespolonej": [[2, "postac-trygonometryczna-liczyb-zespolonej"], [4, "postac-trygonometryczna-liczyb-zespolonej"]], "Potencja\u0142": [[46, null], [47, null]], "Powstawanie t\u0119czy": [[54, "powstawanie-teczy"], [76, "powstawanie-teczy"]], "Pow\u0142oka liniowa": [[2, null], [10, null]], "Praca": [[46, "praca"], [47, "praca"]], "Praca i Energia": [[46, "praca-i-energia"], [47, "praca-i-energia"]], "Prawa Kepplera": [[46, "prawa-kepplera"], [47, "prawa-kepplera"]], "Prawa Kirchhoffa": [[54, "prawa-kirchhoffa"], [67, "prawa-kirchhoffa"]], "Prawo Ampera": [[54, "prawo-ampera"], [69, "prawo-ampera"]], "Prawo Bernoilli\u2019ego": [[46, "prawo-bernoilliego"], [47, "prawo-bernoilliego"]], "Prawo Biot-Savarta": [[54, "prawo-biot-savarta"], [69, "prawo-biot-savarta"]], "Prawo Curie": [[54, null], [70, null]], "Prawo Gausa": [[54, "prawo-gausa"], [65, "prawo-gausa"]], "Prawo Gauss\u2019a z \\epsilon_r": [[54, null], [66, null]], "Prawo Hagena Poisseli": [[46, null], [47, null]], "Prawo Hooke\u2019a": [[46, null], [47, null]], "Prawo Hooke\u2019a dla 1-wymiarowego rozci\u0105gania": [[46, "prawo-hookea-dla-1-wymiarowego-rozciagania"], [47, "prawo-hookea-dla-1-wymiarowego-rozciagania"]], "Prawo Lentza": [[54, "prawo-lentza"], [69, "prawo-lentza"]], "Prawo Pascala": [[46, null], [47, null]], "Prawo archimedesa": [[46, null], [47, null]], "Prawo bezw\u0142adno\u015bci aka I Zasada Dynamiki Newtona": [[46, "prawo-bezwladnosci-aka-i-zasada-dynamiki-newtona"], [47, "prawo-bezwladnosci-aka-i-zasada-dynamiki-newtona"]], "Prawo gaussa dla magnetyzmu": [[54, "prawo-gaussa-dla-magnetyzmu"], [70, "prawo-gaussa-dla-magnetyzmu"]], "Prawo odbicia": [[54, null], [76, null]], "Prawo odbicia i za\u0142amania": [[54, "prawo-odbicia-i-zalamania"], [76, "prawo-odbicia-i-zalamania"]], "Problem pr\u0119dko\u015bci \u015bwiat\u0142a i postulaty Einsteina": [[54, "problem-predkosci-swiatla-i-postulaty-einsteina"], [59, "problem-predkosci-swiatla-i-postulaty-einsteina"]], "Przestrzenie Unitarne": [[2, "przestrzenie-unitarne"], [18, "przestrzenie-unitarne"]], "Przestrzenie euklidesowe": [[2, "przestrzenie-euklidesowe"], [2, "id2"], [15, "przestrzenie-euklidesowe"], [17, "przestrzenie-euklidesowe"]], "Przestrzenie wektorowe": [[2, "przestrzenie-wektorowe"], [9, "przestrzenie-wektorowe"]], "Przestrze\u0144 Wektorowa": [[2, null], [9, null]], "Przestrze\u0144 euklidesowa": [[2, null], [15, null]], "Przestrzze\u0144 Fazowa": [[46, null], [47, null]], "Przez podstawienie": [[19, "przez-podstawienie"], [33, "przez-podstawienie"]], "Przydatne w\u0142asno\u015bci": [[38, "przydatne-wlasnosci"], [40, "przydatne-wlasnosci"]], "Przyk\u0142ad": [[46, null], [47, null], [54, "przyklad"], [54, "id1"], [56, "przyklad"], [62, "przyklad"], [100, null], [103, null]], "Przyk\u0142ad 2": [[100, "przyklad-2"], [105, "przyklad-2"]], "Przyk\u0142adowa tabela przebiegu zmienno\u015bci funkcji:": [[38, "przykladowa-tabela-przebiegu-zmiennosci-funkcji"], [40, "przykladowa-tabela-przebiegu-zmiennosci-funkcji"]], "Przyk\u0142ady": [[46, "przyklady"], [47, "przyklady"]], "Przyk\u0142ady funkcji ci\u0105g\u0142ych": [[19, "przyklady-funkcji-ciaglych"], [22, "przyklady-funkcji-ciaglych"]], "Przyk\u0142ady funkcji pochodnych": [[19, "przyklady-funkcji-pochodnych"], [24, "przyklady-funkcji-pochodnych"]], "Przyk\u0142ady funkcji, kt\u00f3re nie maj\u0105 pochodnych": [[19, "przyklady-funkcji-ktore-nie-maja-pochodnych"], [24, "przyklady-funkcji-ktore-nie-maja-pochodnych"]], "Przyk\u0142ady wst\u0119pne": [[46, "przyklady-wstepne"], [47, "przyklady-wstepne"]], "Przyk\u0142\u0105d 1": [[100, "przyklad-1"], [105, "przyklad-1"]], "Przyk\u0142\u0105d 3": [[100, "przyklad-3"], [105, "przyklad-3"]], "Przyspieszenie": [[46, "przyspieszenie"], [47, "przyspieszenie"]], "Przyspieszenie styczne i normalne": [[46, "przyspieszenie-styczne-i-normalne"], [47, "przyspieszenie-styczne-i-normalne"]], "Przyspieszenie \u015brednie i chwilowe": [[46, null], [47, null]], "Przy\u0142ad 4": [[100, "przylad-4"], [105, "przylad-4"]], "Pr\u0119dko\u015b\u0107": [[46, "predkosc"], [47, "predkosc"]], "Pr\u0119dko\u015b\u0107 chwilowa": [[46, null], [47, null]], "Pr\u0119dko\u015b\u0107 fazowa": [[54, null], [58, null]], "Pr\u0119dko\u015b\u0107 \u015arednia": [[46, null], [47, null]], "P\u0119d": [[46, "ped"], [46, null], [47, "ped"], [47, null]], "P\u0142aszczyzny w przestrzeni \\mathbb{R}^3": [[2, "plaszczyzny-w-przestrzeni-mathbb-r-3"], [8, "plaszczyzny-w-przestrzeni-mathbb-r-3"]], "Rachunek Ca\u0142kowy": [[19, "rachunek-calkowy"], [32, "rachunek-calkowy"]], "Rachunek ca\u0142kowy": [[46, "rachunek-calkowy"], [47, "rachunek-calkowy"]], "Rachunek ca\u0142kowy wielu zmiennych": [[100, "rachunek-calkowy-wielu-zmiennych"], [112, "rachunek-calkowy-wielu-zmiennych"]], "Rachunek r\u00f3\u017cniczkowy": [[46, "rachunek-rozniczkowy"], [47, "rachunek-rozniczkowy"]], "Regu\u0142a de l\u2019Hospitala": [[19, "regula-de-lhospitala"], [19, null], [27, "regula-de-lhospitala"], [27, null]], "Relatywistyczna transformacja przyspieszenia": [[54, "relatywistyczna-transformacja-przyspieszenia"], [60, "relatywistyczna-transformacja-przyspieszenia"]], "Relatywistyczne dodawanie pr\u0119dko\u015b\u0107i": [[54, "relatywistyczne-dodawanie-predkosci"], [60, "relatywistyczne-dodawanie-predkosci"]], "Relatywistyczne skr\u00f3cenie d\u0142ugo\u015bci": [[54, "relatywistyczne-skrocenie-dlugosci"], [60, "relatywistyczne-skrocenie-dlugosci"]], "Relatywistyczne wyd\u0142u\u017cenie czasu": [[54, "relatywistyczne-wydluzenie-czasu"], [60, "relatywistyczne-wydluzenie-czasu"]], "Relatywistyczne zw\u0119\u017cenie wi\u0105zki promieniowania": [[54, "relatywistyczne-zwezenie-wiazki-promieniowania"], [61, "relatywistyczne-zwezenie-wiazki-promieniowania"]], "Reper Bazowy (aka Baza uporz\u0105dkowana)": [[2, null], [10, null]], "Reprezencacja macierzowa odwzorowa\u0144 liniowych": [[2, null], [12, null]], "Reprezentacja ruchu drgaj\u0105cego w przestrzeni fazowej": [[46, "reprezentacja-ruchu-drgajacego-w-przestrzeni-fazowej"], [47, "reprezentacja-ruchu-drgajacego-w-przestrzeni-fazowej"]], "Reszta Peano": [[19, "reszta-peano"], [29, "reszta-peano"]], "Rezonans akustyczny": [[54, "rezonans-akustyczny"], [58, "rezonans-akustyczny"]], "Rozwi\u0105zanie problemu coshiego": [[100, null], [105, null]], "Rozwi\u0105zywanie uk\u0142ad\u00f3w r\u00f3wna\u0144 m \\neq n": [[2, "rozwiazywanie-ukladow-rownan-m-neq-n"], [7, "rozwiazywanie-ukladow-rownan-m-neq-n"]], "Ruch Falowy": [[54, "ruch-falowy"], [56, "ruch-falowy"]], "Ruch drgaj\u0105cy": [[46, "ruch-drgajacy"], [47, "ruch-drgajacy"]], "Ruch pod wp\u0142ywem si\u0142y spr\u0119\u017cystej": [[46, "ruch-pod-wplywem-sily-sprezystej"], [47, "ruch-pod-wplywem-sily-sprezystej"]], "Ruch punktu materialnego na p\u0142aszczy\u017anie": [[46, "ruch-punktu-materialnego-na-plaszczyznie"], [47, "ruch-punktu-materialnego-na-plaszczyznie"]], "Ruch w centralnym polu grawitacyjnym": [[46, "ruch-w-centralnym-polu-grawitacyjnym"], [47, "ruch-w-centralnym-polu-grawitacyjnym"]], "Ruch wzgl\u0119dny i transformacja galileusza": [[46, "ruch-wzgledny-i-transformacja-galileusza"], [47, "ruch-wzgledny-i-transformacja-galileusza"]], "Ruch \u0142adunk\u00f3w w jednorodnym polu magnetycznym": [[54, "ruch-ladunkow-w-jednorodnym-polu-magnetycznym"], [73, "ruch-ladunkow-w-jednorodnym-polu-magnetycznym"]], "Ruch \u0142udki w poprzek rzeki (przyk\u0142ad 2)": [[46, "ruch-ludki-w-poprzek-rzeki-przyklad-2"], [47, "ruch-ludki-w-poprzek-rzeki-przyklad-2"]], "Ruch \u0142\u0105dunk\u00f3w w jednorodnym polu elektrycznym": [[54, "ruch-ladunkow-w-jednorodnym-polu-elektrycznym"], [73, "ruch-ladunkow-w-jednorodnym-polu-elektrycznym"]], "Ruch \u0142\u0105dunk\u00f3w w prostopad\u0142ych jednorodnych polach E i B": [[54, "ruch-ladunkow-w-prostopadlych-jednorodnych-polach-e-i-b"], [73, "ruch-ladunkow-w-prostopadlych-jednorodnych-polach-e-i-b"]], "Rzut Ortogonalny": [[2, "rzut-ortogonalny"], [16, "rzut-ortogonalny"]], "Rzut uko\u015bny (przyk\u0142ad 1)": [[46, "rzut-ukosny-przyklad-1"], [47, "rzut-ukosny-przyklad-1"]], "R\u00f3wnania II liniowe rz\u0119du": [[100, "rownania-ii-liniowe-rzedu"], [107, "rownania-ii-liniowe-rzedu"]], "R\u00f3wnania Maxwella w og\u00f3lnej postaci r\u00f3\u017cniczkowej": [[54, "rownania-maxwella-w-ogolnej-postaci-rozniczkowej"], [73, "rownania-maxwella-w-ogolnej-postaci-rozniczkowej"]], "R\u00f3wnania Maxwella w pr\u00f3\u017cni w postaci ca\u0142kowej": [[54, "rownania-maxwella-w-prozni-w-postaci-calkowej"], [73, "rownania-maxwella-w-prozni-w-postaci-calkowej"]], "R\u00f3wnania Maxwell\u2019a w pr\u00f3\u017cni w postaci r\u00f3\u017cniczkowej": [[54, "rownania-maxwella-w-prozni-w-postaci-rozniczkowej"], [73, "rownania-maxwella-w-prozni-w-postaci-rozniczkowej"]], "R\u00f3wnania R\u00f3\u017cniczkowe": [[100, "rownania-rozniczkowe"], [105, "rownania-rozniczkowe"]], "R\u00f3wnania R\u00f3\u017cniczkowe o zmiennych rozdzielonych": [[100, "rownania-rozniczkowe-o-zmiennych-rozdzielonych"], [105, "rownania-rozniczkowe-o-zmiennych-rozdzielonych"]], "R\u00f3wnania liniowe": [[100, "rownania-liniowe"], [106, "rownania-liniowe"]], "R\u00f3wnania liniowe 1 rz\u0119du": [[100, "rownania-liniowe-1-rzedu"], [106, "rownania-liniowe-1-rzedu"]], "R\u00f3wnanie D\u2019Aramberta": [[54, "rownanie-daramberta"], [56, "rownanie-daramberta"]], "R\u00f3wnoczesna interferencja i dyfrakcja na dwuch szczelinach": [[54, "rownoczesna-interferencja-i-dyfrakcja-na-dwuch-szczelinach"], [78, "rownoczesna-interferencja-i-dyfrakcja-na-dwuch-szczelinach"]], "R\u00f3\u017cniczkowa posta\u0107 Prawa Ohma": [[54, "rozniczkowa-postac-prawa-ohma"], [67, "rozniczkowa-postac-prawa-ohma"]], "R\u00f3\u017cniczkowanie": [[19, "rozniczkowanie"], [24, "rozniczkowanie"]], "STW": [[54, null], [59, null]], "STW a elektromagnetyzm": [[54, "stw-a-elektromagnetyzm"], [80, "stw-a-elektromagnetyzm"]], "Schemat rozwi\u0105zywania zada\u0144:": [[2, "schemat-rozwiazywania-zadan"], [14, "schemat-rozwiazywania-zadan"]], "Siatka dyfkrakcyjna": [[54, "siatka-dyfkrakcyjna"], [78, "siatka-dyfkrakcyjna"]], "Siatka dyfrakcyjna (rozdzielczo\u015b\u0107)": [[54, "siatka-dyfrakcyjna-rozdzielczosc"], [79, "siatka-dyfrakcyjna-rozdzielczosc"]], "Si\u0142a Centralna": [[46, "sila-centralna"], [47, "sila-centralna"]], "Si\u0142a Coriolisa \\vec{F_c}": [[46, null], [47, null]], "Si\u0142a Zachowawcza": [[46, "sila-zachowawcza"], [46, null], [47, "sila-zachowawcza"], [47, null]], "Si\u0142a no\u015bna dzia\u0142aj\u0105ca na skrzyd\u0142o": [[46, null], [47, null]], "Si\u0142a oporu w o\u015brodku lepkim": [[46, "sila-oporu-w-osrodku-lepkim"], [47, "sila-oporu-w-osrodku-lepkim"]], "Si\u0142a tarcia": [[46, null], [47, null]], "Si\u0142y dzia\u0142aj\u0105ce na cia\u0142a na powierzchni ziemii": [[46, "sily-dzialajace-na-ciala-na-powierzchni-ziemii"], [47, "sily-dzialajace-na-ciala-na-powierzchni-ziemii"]], "Si\u0142y tarcia": [[46, "sily-tarcia"], [47, "sily-tarcia"]], "Spadek w powietrzu": [[46, "spadek-w-powietrzu"], [47, "spadek-w-powietrzu"]], "Spektrum": [[2, null], [14, null]], "Spektrum proste": [[2, null], [14, null]], "Sporz\u0105dzanie wykres\u00f3w funkcji": [[19, "sporzadzanie-wykresow-funkcji"], [31, "sporzadzanie-wykresow-funkcji"]], "Sprz\u0119\u017cenie": [[2, "sprzezenie"], [4, "sprzezenie"]], "Sprz\u0119\u017cenie w postaci wyk\u0142adniczej": [[2, null], [4, null]], "Staczanie walca z r\u00f3\u0153ni pochy\u0142ej": [[46, "staczanie-walca-z-rooeni-pochylej"], [47, "staczanie-walca-z-rooeni-pochylej"]], "Statyka Bry\u0142y Sztywnej": [[46, "statyka-bryly-sztywnej"], [47, "statyka-bryly-sztywnej"]], "Strumie\u0144 pola magnetycznego": [[54, "strumien-pola-magnetycznego"], [68, "strumien-pola-magnetycznego"]], "Suma element\u00f3w na przek\u0105tnych": [[2, "suma-elementow-na-przekatnych"], [6, "suma-elementow-na-przekatnych"]], "Superpozycja drga\u0144 prostych": [[46, "superpozycja-drgan-prostych"], [47, "superpozycja-drgan-prostych"]], "Symbole Nieoznaczone czyli co z tym robi\u0107?": [[38, "symbole-nieoznaczone-czyli-co-z-tym-robic"], [45, "symbole-nieoznaczone-czyli-co-z-tym-robic"]], "Szczegulne przypadki p\u00f3l wektorowych": [[54, "szczegulne-przypadki-pol-wektorowych"], [62, "szczegulne-przypadki-pol-wektorowych"]], "Szczeg\u00f3lna Teoria Wzgl\u0119dno\u015bci": [[54, "szczegolna-teoria-wzglednosci"], [59, "szczegolna-teoria-wzglednosci"]], "Szczeg\u00f3lne przypadki ca\u0142ek na przedzia\u0142ach nieograniczonych": [[100, "szczegolne-przypadki-calek-na-przedzialach-nieograniczonych"], [103, "szczegolne-przypadki-calek-na-przedzialach-nieograniczonych"]], "Szeregi": [[100, "szeregi"], [103, "szeregi"]], "Szukanie warto\u015bci w\u0142asnych": [[2, "szukanie-wartosci-wlasnych"], [13, "szukanie-wartosci-wlasnych"]], "Tarcie Statyczne": [[46, "tarcie-statyczne"], [47, "tarcie-statyczne"]], "Tarcie statyczne": [[46, null], [47, null]], "Tarcie toczne": [[46, "tarcie-toczne"], [47, "tarcie-toczne"]], "Tensor": [[46, null], [47, null]], "Transformacja Lorentza": [[54, "transformacja-lorentza"], [59, "transformacja-lorentza"]], "Transformator": [[54, "transformator"], [70, "transformator"]], "Triksy": [[38, "triksy"], [40, "triksy"]], "Tw. Boltzmana-Weierstrassa": [[100, null], [108, null]], "Tw. Gaussa-Ostrogradzkiego": [[100, null], [117, null]], "Tw. 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"\u017cadszego": [54, 78], "\u017ce": [2, 3, 4, 6, 9, 10, 13, 14, 15, 17, 19, 21, 24, 28, 29, 35, 46, 47, 54, 57, 59, 60, 69, 80, 81, 100, 103, 105, 106, 107, 108, 110, 112, 117, 119], "\u017cebi": [96, 99, 100, 112]}, "titles": ["<no title>", "<no title>", "ALGEBRA", "ALGEBRA", "Cia\u0142o liczb zespolonych", "Zestaw 2 zadanie 4, przyk\u0142ad a", "Macierze", "Obliczanie macierzy odwrotnej", "Dzia\u0142ania elementarne, kt\u00f3re nie zmieniaj\u0105 rozwi\u0105za\u0144", "Przestrzenie wektorowe", "Baza", "Macierz Przej\u015bcia", "<no title>", "Endomorfizmy", "W\u0142asno\u015bci spektrum", "Przestrzenie euklidesowe", "Metoda ortogonalizacji Gramma-Schmidta", "Przestrzenie euklidesowe", "Przestrzenie Unitarne", "Matematyka 1", "Matematyka 1", "Ci\u0105gi", "Przyk\u0142ady funkcji ci\u0105g\u0142ych", "Interpretacja krzywej", "R\u00f3\u017cniczkowanie", "Pochodna logarytmiczna", "Zastosowanie pochodnych", "Wnioski Tw. Lagrange\u2019a", "Poj\u0119cie R\u00f3\u017cniczki", "Reszta Peano", "Zadania", "Sporz\u0105dzanie wykres\u00f3w funkcji", "Rachunek Ca\u0142kowy", "Przez podstawienie", "Ca\u0142kowanie u\u0142amk\u00f3w prostych", "Ca\u0142ka Oznaczona (Rimana)", "Zastosowania ca\u0142ek", "Krzywe Sto\u017ckowe", "Matematyka 1 - \u0107wiczenia", "Matematyka 1 - \u0107wiczenia", "Przydatne w\u0142asno\u015bci", "Ca\u0142ki - Istotne wzory / wyprowadzenia", "<no title>", "Ca\u0142ki Rimmana - tricki / przydatne wzory", "<no title>", "Granice: - Tricki", "Mechanika", "Mechanika", "Mechanika - \u0106wiczenia", "Mechanika - \u0106wiczenia", "<no title>", "ANGIELSKI", "ANGIELSKI", "Lekcja 1 - zadanie domowe", "Elektromagnetyzm i Optyka", "Elektromagnetyzm i Optyka", "Ruch Falowy", "Fale Spr\u0119\u017cyste", "Efekt Dopplera", "Szczeg\u00f3lna Teoria Wzgl\u0119dno\u015bci", "Niezmienniczo\u015b\u0107 interwa\u0142u czasoprzestrznennego", "Wybrane efekty relatywistyczne", "Poj\u0119cie pola", "Elektrostatyka \u0142adunk\u00f3w punktowych", "Dipol elektryczny", "Prawo Gausa", "Kondensator p\u0142aski", "PRawo Ohma", "Pole magnetyczne", "Prawo Ampera", "Indukcyjno\u015b\u0107 wzajemna i w\u0142\u0105sna", "Drgania elektromagnetyczne i pr\u0105d przemienny", "Moc w obowodach pr\u0105du przemiennego", "Ruch \u0142\u0105dunk\u00f3w w jednorodnym polu elektrycznym", "Fale elektromagnetyczne jako konsekwencja r\u00f3wna\u0144 Maxwell\u2019a", "Wektor Pointing\u2019a", "Optyka geometryczna", "Optyka falowa", "Interferencja \u015bwiat\u0142\u0105 w cienkich b\u0142onkach", "Siatka dyfrakcyjna (rozdzielczo\u015b\u0107)", "STW a elektromagnetyzm", "Zjawisko fotoelektryczne", "zagadnienia na egzamin z EiO", "Elektromagnetyzm i Optyka - \u0106WICZENIA", "Elektromagnetyzm i Optyka - \u0106WICZENIA", "zestaw 0 zadanie 1", "Zestaw 1 Zadanie 1", "zestaw 2 zadanie 2", "Zestaw 2 zadanie 16", "Zestaw 3", "Zestaw 2 zadanie 15", "Zestaw 6 zadanie 5", "Zestaw 9 Zadanie 8", "Zestaw 11 Zadanie 1", "<no title>", "<no title>", "Laboratorium Fizyczne 1", "Laboratorium Fizyczne 1", "Wst\u0119p", "Kolokwim ze statystyki (statystycznych metod poracowania danych pomiarowych)", "Matematyka 2", "Matematyka 2", "Ca\u0142ka powierzchniowa niezorientowana", "Ca\u0142ki dla przecia\u0142\u00f3w niesko\u0144czonych", "Funkcja Gamma Eulera", "R\u00f3wnania R\u00f3\u017cniczkowe", "R\u00f3wnania liniowe", "R\u00f3wnania II liniowe rz\u0119du", "Funkcje wielu zmiennych", "Pochodne cz\u0105stkowe", "Funkcje uwik\u0142ane", "<no title>", "Rachunek ca\u0142kowy wielu zmiennych", "obliczanie ca\u0142ki podw\u00f3jnej", "Ca\u0142ka potr\u00f3jna", "Ca\u0142ki Krzywoliniowe", "<no title>", "Ca\u0142ka powierzchniowa zorientowana", "<no title>", "Metoda lagrange\u2019a", "Forma kwadratowa \u2013 przyk\u0142\u0105d", "Matematyka 2 - \u0106wiczenia", "Matematyka 2 - \u0106wiczenia", "Metoda czynnika ca\u0142kuj\u0105cego", "Zestaw 9 Zadanie 1", "Zestaw 10 zadanie 2a", "Zestaw 11 Zadanie 1", 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    Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

    -Tue Jun 11 08:28:53 2024 +0200 eio cwa: add one excrcise (5bee6b28bd9b6e32aa11bf37e586a391966965be) +Mon Jun 17 16:34:29 2024 +0200 update eio (192a9f0062bc6904d8be9fb9290e59b23e1e8d11) diff --git a/assets/links.html b/assets/links.html index b90186e0..c5d7a65e 100644 --- a/assets/links.html +++ b/assets/links.html @@ -132,7 +132,7 @@