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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio/eio_2024.03.21.html b/assets/notes/eio/eio_2024.03.21.html index a1f3fe83..a10d1d8b 100644 --- a/assets/notes/eio/eio_2024.03.21.html +++ b/assets/notes/eio/eio_2024.03.21.html @@ -237,7 +237,7 @@

    Nawigacja

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio/eio_2024.03.26.html b/assets/notes/eio/eio_2024.03.26.html index a9daf9d0..ad83421b 100644 --- a/assets/notes/eio/eio_2024.03.26.html +++ b/assets/notes/eio/eio_2024.03.26.html @@ -140,7 +140,7 @@

    Nawigacja

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio/eio_2024.04.04.html b/assets/notes/eio/eio_2024.04.04.html index c17f2a96..b74a398d 100644 --- a/assets/notes/eio/eio_2024.04.04.html +++ b/assets/notes/eio/eio_2024.04.04.html @@ -132,7 +132,7 @@

    Nawigacja

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio/eio_2024.04.09.html b/assets/notes/eio/eio_2024.04.09.html index 4504a6a6..188f58e3 100644 --- a/assets/notes/eio/eio_2024.04.09.html +++ b/assets/notes/eio/eio_2024.04.09.html @@ -144,7 +144,7 @@

    Nawigacja

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio/eio_2024.04.12.html b/assets/notes/eio/eio_2024.04.12.html index 035e2610..a477975e 100644 --- a/assets/notes/eio/eio_2024.04.12.html +++ b/assets/notes/eio/eio_2024.04.12.html @@ -255,7 +255,7 @@

    Nawigacja

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio/eio_2024.04.16.html b/assets/notes/eio/eio_2024.04.16.html index 26e9bafa..55a5a824 100644 --- a/assets/notes/eio/eio_2024.04.16.html +++ b/assets/notes/eio/eio_2024.04.16.html @@ -226,7 +226,7 @@

    Nawigacja

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio/eio_2024.04.18.html b/assets/notes/eio/eio_2024.04.18.html index 63d6febc..3326b5c6 100644 --- a/assets/notes/eio/eio_2024.04.18.html +++ b/assets/notes/eio/eio_2024.04.18.html @@ -184,7 +184,7 @@

    Nawigacja

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio/eio_2024.04.23.html b/assets/notes/eio/eio_2024.04.23.html index cbc4db81..cf3ec130 100644 --- a/assets/notes/eio/eio_2024.04.23.html +++ b/assets/notes/eio/eio_2024.04.23.html @@ -191,7 +191,7 @@

    Nawigacja

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio/eio_2024.04.25.html b/assets/notes/eio/eio_2024.04.25.html index dcb7fae4..e58acb59 100644 --- a/assets/notes/eio/eio_2024.04.25.html +++ b/assets/notes/eio/eio_2024.04.25.html @@ -252,7 +252,7 @@

    Nawigacja

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio/eio_2024.04.30.html b/assets/notes/eio/eio_2024.04.30.html index 6cf0a4e2..e3bf1f07 100644 --- a/assets/notes/eio/eio_2024.04.30.html +++ b/assets/notes/eio/eio_2024.04.30.html @@ -176,7 +176,7 @@

    Nawigacja

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio/eio_2024.05.07.html b/assets/notes/eio/eio_2024.05.07.html index 8a9ddc38..a1bf5ff4 100644 --- a/assets/notes/eio/eio_2024.05.07.html +++ b/assets/notes/eio/eio_2024.05.07.html @@ -157,7 +157,7 @@

    Nawigacja

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio/eio_2024.05.09.html b/assets/notes/eio/eio_2024.05.09.html index 00ef545e..cccf67a7 100644 --- a/assets/notes/eio/eio_2024.05.09.html +++ b/assets/notes/eio/eio_2024.05.09.html @@ -189,7 +189,7 @@

    Nawigacja

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio/eio_2024.05.14.html b/assets/notes/eio/eio_2024.05.14.html index 097645da..bf8a9063 100644 --- a/assets/notes/eio/eio_2024.05.14.html +++ b/assets/notes/eio/eio_2024.05.14.html @@ -131,7 +131,7 @@

    Nawigacja

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio/eio_2024.05.16.html b/assets/notes/eio/eio_2024.05.16.html index 91bba938..ce1a523d 100644 --- a/assets/notes/eio/eio_2024.05.16.html +++ b/assets/notes/eio/eio_2024.05.16.html @@ -154,7 +154,7 @@

    Nawigacja

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio/eio_2024.05.21.html b/assets/notes/eio/eio_2024.05.21.html new file mode 100644 index 00000000..e35e5128 --- /dev/null +++ b/assets/notes/eio/eio_2024.05.21.html @@ -0,0 +1,215 @@ + + + + + + + + + + Optyka geometryczna — Matematyka - dokumentacja + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + +
    + + +
    +
    +
    +
    + +
    +

    Optyka geometryczna

    +
    +

    Prawo odbicia i załamania

    +

    o +rożważmy 2 ośrodki o różnych współczynnikach załamania \(n_@ > n_1\) +Promień światła białego pada na granicę ośrodków pod kąßem \(\alpha\).

    +
    +

    Prawo odbicia

    +
      +

    • kąt padania jest równy kątowi odbicia

      • +

    • promień padająćy, normalna powierzchni i promień odbity leżą w jednej płąszczyźnie

      • +
    +
    +
    +

    prawo załamania

    +

    stosunek sinusa kąßa padania do sinusa kata załamania jest równy stosunkowi ośrodka 2 do ośrodka 1

    +
    +
    +

    Całkowite wewnętrzne odbicie

    +

    promień światła przechodzi z ośrodka gęstrzego do rzadszego.

    +
    +\[$$ Pryzmat\]
    +

    n sin \frac{\theta}{2} = sin \frac{\theta + \gamma_{min}}{2} +$$

    +

    w przybliżeniu \(\gamma_{min} = (n-1)\theta\)

    +
    +
    +
    +

    Powstawanie tęczy

    +

    na kuliste kropelki wody pada światło słoneczne

    +
    +
    +

    soczewki i zwierciadła

    +
    +

    Analiza obrazu

    +
      +

    • rzeczywisty/urojony (pozorny)

      • +

    • powiększony/pomniejszony

      • +

    • prosty/odwrócony

      • +
    + + + + + + + + + + + + + + + + + + + + + + + +

    typ

    pomniejszony/powiększony

    odwrócony/prosty

    rzeczywisty/urojony

    notatki

    zwierciadło proste

    równy

    odwrócony

    urojony

    zwierciadło kuliste wklęsłe \(x>2f\)

    pomniejszony

    odwrócony

    rzeczywisty

    \(f = \frac{r}{2}\)

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

    +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) + + + + \ No newline at end of file diff --git a/assets/notes/eio/eio_2024.05.23.html b/assets/notes/eio/eio_2024.05.23.html new file mode 100644 index 00000000..6b2fb74e --- /dev/null +++ b/assets/notes/eio/eio_2024.05.23.html @@ -0,0 +1,168 @@ + + + + + + + + + + Optyka falowa — Matematyka - dokumentacja + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + +
    + + +
    +
    +
    +
    + +
    +\[ +\frac{n_1}{x} + \frac{n_1}{y} = (n_1 - n_2)(\frac{1}{r_1} - \frac{1}{r_2}) +\]
    +
    +

    Optyka falowa

    +
    +

    interferencja i dyfrakcja światła, siatka dyfraktcyjna

    +
    +

    Doświadczenie Yanga

    +

    przez dwie szczeliny przechodzi fala płaska.

    +

    Na ekranie obserwujemy natężenie światła

    +
    +\[ +d sin \Theta = m \lambda +\]
    +
    +\[ \begin{align}\begin{aligned}\begin{split} +E_1 = E_0 sin \omega t\\ +E_2 = E_0 sin (\omega t + \phi) \\ +E = E_1 + E_2 = E_0 (sin \omega t + sin (\omega t + \phi)) = 2 E_0 cos \frac{\phi}{2} sin (\omega t + \frac{\phi}{2}) \\ +E_{\Theta} = 2 E_0 cos \Beta ~ \beta = \frac{\Theata}{2} \\\end{split}\\I_{\Theta} = I_m cos \beta +\end{aligned}\end{align} \]
    +
    +
    +
    + + +
    +
    +
    +
    + + + +
    + + + +
    + +
    +
    +
    + + +
    + +
    +© Copyright 2023, Maciej Szeptuch. +Created using Sphinx 4.2.0.
    +Ewentualne błędy proszę zgłąszać w Repozytorium GitHub

    +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) + + + + \ No newline at end of file diff --git a/assets/notes/eio/eio_2024.05.28.html b/assets/notes/eio/eio_2024.05.28.html new file mode 100644 index 00000000..a971de73 --- /dev/null +++ b/assets/notes/eio/eio_2024.05.28.html @@ -0,0 +1,173 @@ + + + + + + + + + + Interferencja światłą w cienkich błonkach — Matematyka - dokumentacja + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + +
    + + +
    +
    +
    +
    + +
    +

    Interferencja światłą w cienkich błonkach

    +

    jeden promień odbija się od powierzchni błony, a drugi “W błonie”. +dochodzi do zmiany fazy dla fali która odbija się od osrodka żadszego (2).

    +
    +\[ +2 d n = \left(m+\frac{1}{2}\right) \lambda +\]
    +

    ponieważ w powyższym róœnaniu występuje współczynnik załamania (różny dla każdej barwy) +można zauważyć ciekawe efektyw izualne.

    +
    +
    +

    Dyfrakcja światła na szczelninie

    +

    Szczelinę dzielimy na \(n\) małych kawałków (\(n \to \infty\)) i dla każdego kawałka +obliczamy różnicę dróg dla dwóch promieni. Sumujemy te różnice i otrzymujemy

    +
    +\[ +I_}\Theta} = I_w * \left(\frac{\sin \alpha}{\alpha}\right)^2 +\]
    +
    +
    +

    Równoczesna interferencja i dyfrakcja na dwuch szczelinach

    +
    +\[\begin{split} +I_{\Theta} = I_n * \left(\frac{\sin \alpha}{\alpha}\right)^2 * \cos^2 \beta \\ +\beta = \frac{\pi d}{\lambda} \sin \Theta \\ +\alpha = \frac{\pi a}{\lambda} \sin \Theta +\end{split}\]
    +
    +
    +

    Siatka dyfkrakcyjna

    +

    układ wielu szczelin

    +

    Rozważmy układ \(n=5\) szczelin o szerokości \(a\) każda.

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

    +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) + + + + \ No newline at end of file diff --git a/assets/notes/eio_cw.html b/assets/notes/eio_cw.html index 2b01be3f..5e3b6005 100644 --- a/assets/notes/eio_cw.html +++ b/assets/notes/eio_cw.html @@ -281,7 +281,7 @@

    Nawigacja

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio_cw/eio_0000.00.00.html b/assets/notes/eio_cw/eio_0000.00.00.html index a47297c0..28ca0938 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

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio_cw/eio_2024.02.27.html b/assets/notes/eio_cw/eio_2024.02.27.html index bc031223..0fdc7675 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

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio_cw/eio_2024.03.05.html b/assets/notes/eio_cw/eio_2024.03.05.html index a39adffe..4baac0e2 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

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio_cw/eio_2024.03.12.html b/assets/notes/eio_cw/eio_2024.03.12.html index 9c4aaa0d..f6b26282 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

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

    -Mon Jun 3 12:57:47 2024 +0200 więcej matmy (90011caa1375c80134d3ff5f0326de1ce97c785a) +Tue Jun 4 08:13:23 2024 +0200 add EIO notes (6171fb21c7a0b9a274f2e5fe50daae7ed3b6bc2e) diff --git a/assets/notes/eio_cw/eio_2024.03.15.html b/assets/notes/eio_cw/eio_2024.03.15.html index 0e90f222..0baadee2 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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"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": [[76, "elektromagnetyzm-i-optyka-cwiczenia"], [77, "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"]], "Funkcja": [[19, "funkcja"], [20, "funkcja"]], "Funkcja Gamma Eulera": [[90, "funkcja-gamma-eulera"], [94, "funkcja-gamma-eulera"]], "Funkcja \\beta": [[90, "funkcja-beta"], [94, "funkcja-beta"]], "Funkcje ci\u0105g\u0142e": [[19, "funkcje-ciagle"], [21, "funkcje-ciagle"]], "Funkcje harmoniczne": [[54, null], [62, null]], "Funkcje uwik\u0142ane": [[90, "funkcje-uwiklane"], [100, "funkcje-uwiklane"]], "Funkcje wielu zmiennych": [[90, "funkcje-wielu-zmiennych"], [98, "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": [[90, "i-to-mathbb-r-n"], [98, "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"]], "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"]], "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": [[90, "kryteria-porownawcze"], [93, "kryteria-porownawcze"]], "Krzywa ca\u0142kowa": [[90, null], [95, null]], "Krzywe Sto\u017ckowe": [[19, "krzywe-stozkowe"], [37, "krzywe-stozkowe"]], "Laboratorium Fizyczne 1": [[87, "laboratorium-fizyczne-1"], [88, "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": [[87, "luzne-notatki"], [89, "luzne-notatki"]], "Macierz Przej\u015bcia": [[2, "macierz-przejscia"], [2, "id1"], [10, "macierz-przejscia"], [11, "macierz-przejscia"]], "Macierz Wro\u0144skiego": [[90, null], [97, 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": [[90, "matematyka-2"], [91, "matematyka-2"]], "Matematyka 2 - \u0106wiczenia": [[110, "matematyka-2-cwiczenia"], [111, "matematyka-2-cwiczenia"]], "Matma": [[46, "matma"], [47, "matma"]], "Mechanika": [[46, "mechanika"], [47, "mechanika"]], "Mechanika - \u0106wiczenia": [[48, "mechanika-cwiczenia"], [49, "mechanika-cwiczenia"]], "Metoda Przewidywania": [[90, "metoda-przewidywania"], [96, "metoda-przewidywania"]], "Metoda Uzmienniania sta\u0142ej:": [[90, "metoda-uzmienniania-stalej"], [96, "metoda-uzmienniania-stalej"]], "Metoda czynnika ca\u0142kuj\u0105cego": [[110, "metoda-czynnika-calkujacego"], [112, "metoda-czynnika-calkujacego"]], "Metoda lagrange\u2019a": [[90, "metoda-lagrangea"], [109, "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": [[90, null], [104, null]], "Obszar normalny": [[90, null], [103, 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"]], "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": [[90, "pochodna-funkcji-zlozonych"], [99, "pochodna-funkcji-zlozonych"]], "Pochodna kierunkowa": [[90, "pochodna-kierunkowa"], [99, "pochodna-kierunkowa"]], "Pochodna logarytmiczna": [[19, "pochodna-logarytmiczna"], [25, "pochodna-logarytmiczna"]], "Pochodne cz\u0105stkowe": [[90, "pochodne-czastkowe"], [99, "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": [[90, "pojecie-rozniczkowalnosci"], [99, "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": [[90, null], [101, 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": [[90, null], [95, null]], "Posta\u0107 trygonometryczna liczyb zespolonej": [[2, "postac-trygonometryczna-liczyb-zespolonej"], [4, "postac-trygonometryczna-liczyb-zespolonej"]], "Potencja\u0142": [[46, null], [47, null]], "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"]], "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"], [90, null], [93, null]], "Przyk\u0142ad 2": [[90, "przyklad-2"], [95, "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": [[90, "przyklad-1"], [95, "przyklad-1"]], "Przyk\u0142\u0105d 3": [[90, "przyklad-3"], [95, "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": [[90, "przylad-4"], [95, "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": [[90, "rachunek-calkowy-wielu-zmiennych"], [102, "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": [[90, null], [95, 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": [[90, "rownania-ii-liniowe-rzedu"], [97, "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": [[90, "rownania-rozniczkowe"], [95, "rownania-rozniczkowe"]], "R\u00f3wnania R\u00f3\u017cniczkowe o zmiennych rozdzielonych": [[90, "rownania-rozniczkowe-o-zmiennych-rozdzielonych"], [95, "rownania-rozniczkowe-o-zmiennych-rozdzielonych"]], "R\u00f3wnania liniowe": [[90, "rownania-liniowe"], [96, "rownania-liniowe"]], "R\u00f3wnania liniowe 1 rz\u0119du": [[90, "rownania-liniowe-1-rzedu"], [96, "rownania-liniowe-1-rzedu"]], "R\u00f3wnanie D\u2019Aramberta": [[54, "rownanie-daramberta"], [56, "rownanie-daramberta"]], "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"]], "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]], 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"\u017arud\u0142em": [54, 58], "\u017ar\u00f3d\u0142a": [54, 67], "\u017ar\u00f3d\u0142em": [54, 68], "\u017ar\u00f3d\u0142o": [54, 67, 71], "\u017ar\u00f3d\u0142owego": 116, "\u017cadnego": [2, 9], "\u017ce": [2, 3, 4, 6, 9, 10, 13, 14, 15, 17, 19, 21, 24, 28, 29, 35, 46, 47, 54, 57, 59, 60, 69, 90, 93, 95, 96, 97, 98, 100, 102, 107, 109], "\u017cebi": [90, 102]}, "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", "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", "<no title>", "<no title>", "Laboratorium Fizyczne 1", "Laboratorium Fizyczne 1", "Wst\u0119p", "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", "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, 76, 78, 90, 102], "1": [2, 3, 19, 20, 38, 39, 46, 47, 51, 53, 54, 67, 76, 78, 79, 87, 88, 90, 95, 96, 110, 113, 115], "10": [110, 114], "11": [110, 115], "15": [76, 83], "16": [76, 81], "2": [2, 5, 46, 47, 51, 53, 54, 67, 76, 79, 80, 81, 83, 90, 91, 95, 110, 111], "2a": [110, 114], "3": [2, 8, 46, 47, 54, 70, 76, 82, 90, 95, 100], "4": [2, 5, 19, 22, 76, 78, 90, 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"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": [[79, "elektromagnetyzm-i-optyka-cwiczenia"], [80, "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"]], "Funkcja": [[19, "funkcja"], [20, "funkcja"]], "Funkcja Gamma Eulera": [[93, "funkcja-gamma-eulera"], [97, "funkcja-gamma-eulera"]], "Funkcja \\beta": [[93, "funkcja-beta"], [97, "funkcja-beta"]], "Funkcje ci\u0105g\u0142e": [[19, "funkcje-ciagle"], [21, "funkcje-ciagle"]], "Funkcje harmoniczne": [[54, null], [62, null]], "Funkcje uwik\u0142ane": [[93, "funkcje-uwiklane"], [103, "funkcje-uwiklane"]], "Funkcje wielu zmiennych": [[93, "funkcje-wielu-zmiennych"], [101, "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": [[93, "i-to-mathbb-r-n"], [101, "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"]], "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": [[93, "kryteria-porownawcze"], [96, "kryteria-porownawcze"]], "Krzywa ca\u0142kowa": [[93, null], [98, null]], "Krzywe Sto\u017ckowe": [[19, "krzywe-stozkowe"], [37, "krzywe-stozkowe"]], "Laboratorium Fizyczne 1": [[90, "laboratorium-fizyczne-1"], [91, "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": [[90, "luzne-notatki"], [92, "luzne-notatki"]], "Macierz Przej\u015bcia": [[2, "macierz-przejscia"], [2, "id1"], [10, "macierz-przejscia"], [11, "macierz-przejscia"]], "Macierz Wro\u0144skiego": [[93, null], [100, 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": [[93, "matematyka-2"], [94, "matematyka-2"]], "Matematyka 2 - \u0106wiczenia": [[113, "matematyka-2-cwiczenia"], [114, "matematyka-2-cwiczenia"]], "Matma": [[46, "matma"], [47, "matma"]], "Mechanika": [[46, "mechanika"], [47, "mechanika"]], "Mechanika - \u0106wiczenia": [[48, "mechanika-cwiczenia"], [49, "mechanika-cwiczenia"]], "Metoda Przewidywania": [[93, "metoda-przewidywania"], [99, "metoda-przewidywania"]], "Metoda Uzmienniania sta\u0142ej:": [[93, "metoda-uzmienniania-stalej"], [99, "metoda-uzmienniania-stalej"]], "Metoda czynnika ca\u0142kuj\u0105cego": [[113, "metoda-czynnika-calkujacego"], [115, "metoda-czynnika-calkujacego"]], "Metoda lagrange\u2019a": [[93, "metoda-lagrangea"], [112, "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, 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"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": [[93, "pochodna-funkcji-zlozonych"], [102, "pochodna-funkcji-zlozonych"]], "Pochodna kierunkowa": [[93, "pochodna-kierunkowa"], [102, "pochodna-kierunkowa"]], "Pochodna logarytmiczna": [[19, "pochodna-logarytmiczna"], [25, "pochodna-logarytmiczna"]], "Pochodne cz\u0105stkowe": [[93, "pochodne-czastkowe"], [102, "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, 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"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": [[93, null], [98, 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"], [93, null], [96, null]], "Przyk\u0142ad 2": [[93, "przyklad-2"], [98, "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": [[93, "przyklad-1"], [98, "przyklad-1"]], "Przyk\u0142\u0105d 3": [[93, "przyklad-3"], [98, "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": [[93, "przylad-4"], [98, "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": [[93, "rachunek-calkowy-wielu-zmiennych"], [105, "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": [[93, null], [98, 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": [[93, "rownania-ii-liniowe-rzedu"], [100, "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": [[93, "rownania-rozniczkowe"], [98, "rownania-rozniczkowe"]], "R\u00f3wnania R\u00f3\u017cniczkowe o zmiennych rozdzielonych": [[93, "rownania-rozniczkowe-o-zmiennych-rozdzielonych"], [98, "rownania-rozniczkowe-o-zmiennych-rozdzielonych"]], "R\u00f3wnania liniowe": [[93, "rownania-liniowe"], [99, "rownania-liniowe"]], "R\u00f3wnania liniowe 1 rz\u0119du": [[93, "rownania-liniowe-1-rzedu"], [99, "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"]], "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, 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"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": [[93, "szczegolne-przypadki-calek-na-przedzialach-nieograniczonych"], [96, "szczegolne-przypadki-calek-na-przedzialach-nieograniczonych"]], "Szeregi": [[93, "szeregi"], [96, "szeregi"]], "Szukanie warto\u015bci w\u0142asnych": [[2, "szukanie-wartosci-wlasnych"], [13, "szukanie-wartosci-wlasnych"]], "Tarcie Statyczne": [[46, "tarcie-statyczne"], [47, 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"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", "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", "<no title>", "<no title>", "Laboratorium Fizyczne 1", "Laboratorium Fizyczne 1", "Wst\u0119p", "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", "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, 79, 81, 93, 105], "1": [2, 3, 19, 20, 38, 39, 46, 47, 51, 53, 54, 67, 79, 81, 82, 90, 91, 93, 98, 99, 113, 116, 118], "10": [113, 117], "11": [113, 118], "15": [79, 86], "16": [79, 84], "2": [2, 5, 46, 47, 51, 53, 54, 67, 79, 82, 83, 84, 86, 93, 94, 98, 113, 114], 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