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[43, null], [65, null], [66, null]], "zmiany na macierzy nie zmieniaj\u0105ce wyznacznika": [[2, "zmiany-na-macierzy-nie-zmieniajace-wyznacznika"], [6, "zmiany-na-macierzy-nie-zmieniajace-wyznacznika"]], "Macierz odwrotna": [[2, "macierz-odwrotna"], [6, "macierz-odwrotna"]], "Obliczanie macierzy odwrotnej": [[2, "obliczanie-macierzy-odwrotnej"], [7, "obliczanie-macierzy-odwrotnej"]], "Algorytm gausa": [[2, null], [7, null]], "W\u0142asno\u015bci macierzy odwrotnej": [[2, "wlasnosci-macierzy-odwrotnej"], [7, "wlasnosci-macierzy-odwrotnej"]], "Uk\u0142ady r\u00f3wna\u0144 liniowych": [[2, "uklady-rownan-liniowych"], [7, "uklady-rownan-liniowych"]], "Uk\u0142ad r\u00f3wna\u0144": [[2, "uklad-rownan"], [7, "uklad-rownan"]], "uk\u0142ady crammerowskie": [[2, null], [7, null]], "Wyznaczanie rz\u0119du": [[2, "wyznaczanie-rzedu"], [7, "wyznaczanie-rzedu"]], "Rozwi\u0105zywanie uk\u0142ad\u00f3w r\u00f3wna\u0144 m \\neq n": [[2, "rozwiazywanie-ukladow-rownan-m-neq-n"], [7, 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[9, "liniowa-zaleznosc-wektorow"]], "liniowa zale\u017cno\u015b\u0107 wektor\u00f3w": [[2, null], [9, null]], "Generatory": [[2, null], [9, null]], "Twierdzenie o geneowaniu podprzestrzeni \\mathbb{R}^n": [[2, null], [9, null]], "kombinacja zerowa": [[2, null], [10, null]], "Pow\u0142oka liniowa": [[2, null], [10, null]], "Baza": [[2, "baza"], [2, null], [10, "baza"], [10, null]], "Reper Bazowy (aka Baza uporz\u0105dkowana)": [[2, null], [10, null]], "Wymiar przestrzeni wektorowej V": [[2, null], [10, null]], "Macierz Przej\u015bcia": [[2, "macierz-przejscia"], [2, "id1"], [10, "macierz-przejscia"], [11, "macierz-przejscia"]], "Macierz przej\u015bcia": [[2, null], [10, null]], "Twierdzenie o N-Bazach": [[2, null], [10, null]], "Odwzorowania Liniowe": [[2, "odwzorowania-liniowe"], [11, "odwzorowania-liniowe"]], "Reprezencacja macierzowa odwzorowa\u0144 liniowych": [[2, null], [12, null]], "J\u0105dro": [[2, null], [12, null]], "Endomorfizmy": [[2, "endomorfizmy"], [13, "endomorfizmy"]], "Endomorfizm": [[2, null], [13, null]], "\\phi niezmiennicza": [[2, null], [13, null]], "warto\u015b\u0107 w\u0142\u0105sna": [[2, null], [13, null]], "Operator rzutowania": [[2, null], [13, null]], "Szukanie warto\u015bci w\u0142asnych": [[2, "szukanie-wartosci-wlasnych"], [13, "szukanie-wartosci-wlasnych"]], "W\u0142asno\u015bci spektrum": [[2, "wlasnosci-spektrum"], [14, "wlasnosci-spektrum"]], "Kiedy mo\u017cna dokona\u0107 diagonalizacji macierzy odwzorowania?": [[2, null], [14, null]], "Schemat rozwi\u0105zywania zada\u0144:": [[2, "schemat-rozwiazywania-zadan"], [14, "schemat-rozwiazywania-zadan"]], "Spektrum": [[2, null], [14, null]], "Spektrum proste": [[2, null], [14, null]], "Przestrzenie euklidesowe": [[2, "przestrzenie-euklidesowe"], [2, "id2"], [15, "przestrzenie-euklidesowe"], [17, "przestrzenie-euklidesowe"]], "Przestrze\u0144 euklidesowa": [[2, null], [15, null]], "Norma": [[2, null], [15, null]], "Wektor unormowany": [[2, null], [15, null]], "Wektory ortogonalne": [[2, null], [15, null]], "Uk\u0142ad ortonormalny": [[2, null], [15, null]], "Metoda ortogonalizacji Gramma-Schmidta": [[2, "metoda-ortogonalizacji-gramma-schmidta"], [16, "metoda-ortogonalizacji-gramma-schmidta"]], "Rzut Ortogonalny": [[2, "rzut-ortogonalny"], [16, "rzut-ortogonalny"]], "Macierze ortogonalne": [[2, null], [17, null]], "Izometrie liniowe": [[2, null], [17, null]], "Przestrzenie Unitarne": [[2, "przestrzenie-unitarne"], [18, "przestrzenie-unitarne"]], "Iloczyn hermitowski": [[2, null], [18, null]], "ANGIELSKI": [[19, "angielski"], [20, "angielski"]], "Lekcja 1 - zadanie domowe": [[19, "lekcja-1-zadanie-domowe"], [21, "lekcja-1-zadanie-domowe"]], "zadanie 1": [[19, "zadanie-1"], [21, "zadanie-1"]], "zadanie 2": [[19, "zadanie-2"], [21, "zadanie-2"]], "Elektromagnetyzm i Optyka": [[22, "elektromagnetyzm-i-optyka"], [23, "elektromagnetyzm-i-optyka"]], "Ruch Falowy": [[22, "ruch-falowy"], [24, "ruch-falowy"]], "Uwagi wst\u0119pne": [[22, "uwagi-wstepne"], [24, "uwagi-wstepne"]], "fala": [[22, null], [24, null]], "O\u015brodek spr\u0119\u017cysty": [[22, null], [24, null]], "Fale spr\u0119\u017cyste": [[22, null], [24, null]], "Podzia\u0142 fal ze wzgl\u0119du na kierunek propagacji": [[22, "podzial-fal-ze-wzgledu-na-kierunek-propagacji"], [24, "podzial-fal-ze-wzgledu-na-kierunek-propagacji"]], "Fala okresowa (periodyczna)": [[22, null], [24, null]], "Fala o sta\u0142ym kszta\u0142cie": [[22, null], [24, null]], "Przyk\u0142ad": [[22, "przyklad"], [24, "przyklad"], [61, null], [63, null], [65, null], [66, null]], "wektor falowy": [[22, null], [24, null]], "R\u00f3wnanie D\u2019Aramberta": [[22, "rownanie-daramberta"], [24, "rownanie-daramberta"]], "Fale Spr\u0119\u017cyste": [[22, "fale-sprezyste"], [25, "fale-sprezyste"]], "Og\u00f3lna Formu\u0142a na pr\u0119dko\u015b\u0107 fali spr\u0119\u017cystej": [[22, "ogolna-formula-na-predkosc-fali-sprezystej"], [25, "ogolna-formula-na-predkosc-fali-sprezystej"]], "Wz\u00f3r Newtona": [[22, null], [25, null]], "Fale na powierzchni wody": [[22, "fale-na-powierzchni-wody"], [25, "fale-na-powierzchni-wody"]], "O\u015brodek dyspersyjny": [[22, "osrodek-dyspersyjny"], [22, null], [25, "osrodek-dyspersyjny"], [25, null]], "Nat\u0119\u017cenie Fali": [[22, "natezenie-fali"], [25, "natezenie-fali"]], "Elektromagnetyzm i Optyka - \u0106WICZENIA": [[26, "elektromagnetyzm-i-optyka-cwiczenia"], [27, "elektromagnetyzm-i-optyka-cwiczenia"]], "zestaw 0 zadanie 1": [[26, "zestaw-0-zadanie-1"], [28, "zestaw-0-zadanie-1"]], "zestaw 0 zadanie 4": [[26, "zestaw-0-zadanie-4"], [28, "zestaw-0-zadanie-4"]], "zestaw 0 zadanie 5": [[26, "zestaw-0-zadanie-5"], [28, "zestaw-0-zadanie-5"]], "zestaw 0 zadanie 6": [[26, "zestaw-0-zadanie-6"], [28, "zestaw-0-zadanie-6"]], "Laboratorium Fizyczne 1": [[31, "laboratorium-fizyczne-1"], [32, "laboratorium-fizyczne-1"]], "Wst\u0119p": [[31, "wstep"], [33, "wstep"], [65, "wstep"], [66, "wstep"], [70, "wstep"]], "Lu\u017ane notatki": [[31, "luzne-notatki"], [33, 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null], [36, null]], "Twierdzenie Bezuta": [[34, null], [36, null]], "w\u0142asono\u015b\u0107 Garbouta": [[34, null], [36, null]], "Twierdzenie o osi\u0105ganiu kres\u00f3w": [[34, null], [37, null]], "Twierdzenie o ci\u0105g\u0142o\u015bci funkcji odwrotnej": [[34, null], [37, null]], "Twierdzenie o ci\u0105g\u0142o\u015bci funkcji z\u0142o\u017conej": [[34, null], [37, null]], "Twierdzenie o 4 dzia\u0142aniach dla funkcji ci\u0105g\u0142ych": [[34, null], [37, null]], "Przyk\u0142ady funkcji ci\u0105g\u0142ych": [[34, "przyklady-funkcji-ciaglych"], [37, "przyklady-funkcji-ciaglych"]], "Interpretacja krzywej": [[34, "interpretacja-krzywej"], [38, "interpretacja-krzywej"]], "R\u00f3\u017cniczkowanie": [[34, "rozniczkowanie"], [39, "rozniczkowanie"]], "Definicja pochodnej": [[34, null], [39, null]], "Przyk\u0142ady funkcji pochodnych": [[34, "przyklady-funkcji-pochodnych"], [39, "przyklady-funkcji-pochodnych"]], "Przyk\u0142ady funkcji, kt\u00f3re nie maj\u0105 pochodnych": [[34, 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"sporzadzanie-wykresow-funkcji"]], "Rachunek Ca\u0142kowy": [[34, "rachunek-calkowy"], [47, "rachunek-calkowy"]], "definicja ca\u0142ki": [[34, null], [47, null]], "Twierdzenie o sta\u0142ej ca\u0142kowania": [[34, null], [47, null]], "Metody obliczania ca\u0142ek": [[34, "metody-obliczania-calek"], [47, "metody-obliczania-calek"]], "Zgadywanie": [[34, "zgadywanie"], [47, "zgadywanie"]], "Liniowo\u015b\u0107*": [[34, null], [47, null]], "przez cz\u0119\u015bci": [[34, "przez-czesci"], [47, "przez-czesci"]], "Przez podstawienie": [[34, "przez-podstawienie"], [48, "przez-podstawienie"]], "Podstawienie": [[34, null], [48, null]], "Ca\u0142ki funkcji wymiernych": [[34, "calki-funkcji-wymiernych"], [48, "calki-funkcji-wymiernych"]], "Ca\u0142kowanie u\u0142amk\u00f3w prostych": [[34, "calkowanie-ulamkow-prostych"], [49, "calkowanie-ulamkow-prostych"]], "Ca\u0142kowanie Funkcji typu R(cos(x), sin(x))": [[34, "calkowanie-funkcji-typu-r-cos-x-sin-x"], [49, "calkowanie-funkcji-typu-r-cos-x-sin-x"]], "Ca\u0142ki z pierwiastkiem": [[34, "calki-z-pierwiastkiem"], [49, "calki-z-pierwiastkiem"]], "Ca\u0142ka Oznaczona (Rimana)": [[34, "calka-oznaczona-rimana"], [50, "calka-oznaczona-rimana"]], "definicja ca\u0142ki oznaczonej": [[34, null], [50, null]], "W\u0142asno\u015bci ca\u0142ki Rimmana": [[34, "wlasnosci-calki-rimmana"], [50, "wlasnosci-calki-rimmana"]], "Zastosowania ca\u0142ek": [[34, "zastosowania-calek"], [51, "zastosowania-calek"]], "Pole pod wykresem": [[34, "pole-pod-wykresem"], [51, "pole-pod-wykresem"]], "pole elipsy": [[34, null], [51, null]], "Krzywe Sto\u017ckowe": [[34, "krzywe-stozkowe"], [52, "krzywe-stozkowe"]], "Matematyka 1 - \u0107wiczenia": [[53, "matematyka-1-cwiczenia"], [54, "matematyka-1-cwiczenia"]], "Wz\u00f3r sterlinga": [[53, null], [54, null]], "Przydatne w\u0142asno\u015bci": [[53, "przydatne-wlasnosci"], [55, "przydatne-wlasnosci"]], "Przyk\u0142adowa tabela przebiegu zmienno\u015bci funkcji:": [[53, "przykladowa-tabela-przebiegu-zmiennosci-funkcji"], [55, "przykladowa-tabela-przebiegu-zmiennosci-funkcji"]], "Triksy": [[53, "triksy"], [55, "triksy"]], "Ca\u0142ki - Istotne wzory / wyprowadzenia": [[53, "calki-istotne-wzory-wyprowadzenia"], [56, "calki-istotne-wzory-wyprowadzenia"]], "Ca\u0142ki Rimmana - tricki / przydatne wzory": [[53, "calki-rimmana-tricki-przydatne-wzory"], [58, "calki-rimmana-tricki-przydatne-wzory"]], "Granice: - Tricki": [[53, "granice-tricki"], [60, "granice-tricki"]], "Symbole Nieoznaczone czyli co z tym robi\u0107?": [[53, "symbole-nieoznaczone-czyli-co-z-tym-robic"], [60, "symbole-nieoznaczone-czyli-co-z-tym-robic"]], "0 * \\infty": [[53, "infty"], [60, "infty"]], "\\infty - \\infty": [[53, "infty-infty"], [60, "infty-infty"]], "\\frac{\\infty}{\\infty} i \\frac{0}{0}": [[53, "frac-infty-infty-i-frac-0-0"], [60, "frac-infty-infty-i-frac-0-0"]], "Matematyka 2": [[61, "matematyka-2"], [62, "matematyka-2"]], "Ca\u0142ki dla przecia\u0142\u00f3w niesko\u0144czonych": [[61, "calki-dla-przecialow-nieskonczonych"], [63, "calki-dla-przecialow-nieskonczonych"]], "Ca\u0142ki funkcji niesko\u0144czonych": [[61, "calki-funkcji-nieskonczonych"], [63, "calki-funkcji-nieskonczonych"]], "Szczeg\u00f3lne przypadki ca\u0142ek na przedzia\u0142ach nieograniczonych": [[61, "szczegolne-przypadki-calek-na-przedzialach-nieograniczonych"], [63, "szczegolne-przypadki-calek-na-przedzialach-nieograniczonych"]], "Kryteria por\u00f3wnawcze": [[61, "kryteria-porownawcze"], [63, "kryteria-porownawcze"]], "Szeregi": [[61, "szeregi"], [63, "szeregi"]], "bezwzgl\u0119dna zbierzno\u015b\u0107": [[61, null], [63, null]], "Funkcja Gamma Eulera": [[61, "funkcja-gamma-eulera"], [64, "funkcja-gamma-eulera"]], "W\u0142asno\u015b\u0107i": [[61, "wlasnosci"], [64, "wlasnosci"]], "Funkcja \\beta": [[61, "funkcja-beta"], [64, "funkcja-beta"]], "Mechanika": [[65, "mechanika"], [66, "mechanika"]], "Wst\u0119p #2": [[65, "wstep-2"], [66, "wstep-2"]], "Uk\u0142ady Odniesienia": [[65, "uklady-odniesienia"], [66, "uklady-odniesienia"]], "Matma": [[65, "matma"], [66, "matma"]], "Rachunek r\u00f3\u017cniczkowy": [[65, "rachunek-rozniczkowy"], [66, "rachunek-rozniczkowy"]], "Rachunek ca\u0142kowy": [[65, "rachunek-calkowy"], [66, "rachunek-calkowy"]], "Podstawy Kinematyki": [[65, "podstawy-kinematyki"], [66, "podstawy-kinematyki"]], "Ruch punktu materialnego na p\u0142aszczy\u017anie": [[65, "ruch-punktu-materialnego-na-plaszczyznie"], [66, "ruch-punktu-materialnego-na-plaszczyznie"]], "Pr\u0119dko\u015b\u0107": [[65, "predkosc"], [66, "predkosc"]], "Pr\u0119dko\u015b\u0107 \u015arednia": [[65, null], [66, null]], "Pr\u0119dko\u015b\u0107 chwilowa": [[65, null], [66, null]], "Przyspieszenie": [[65, "przyspieszenie"], [66, "przyspieszenie"]], "Przyspieszenie \u015brednie i chwilowe": [[65, null], [66, null]], "Rzut uko\u015bny (przyk\u0142ad 1)": [[65, "rzut-ukosny-przyklad-1"], [66, "rzut-ukosny-przyklad-1"]], "Zasi\u0119g": [[65, "zasieg"], [66, "zasieg"]], "Ruch \u0142udki w poprzek rzeki (przyk\u0142ad 2)": [[65, "ruch-ludki-w-poprzek-rzeki-przyklad-2"], [66, "ruch-ludki-w-poprzek-rzeki-przyklad-2"]], "Za\u0142orzenia": [[65, null], [66, null]], "Ruch wzgl\u0119dny i transformacja galileusza": [[65, "ruch-wzgledny-i-transformacja-galileusza"], [66, "ruch-wzgledny-i-transformacja-galileusza"]], "Dynamika ruchu po okr\u0119gu": [[65, "dynamika-ruchu-po-okregu"], [66, "dynamika-ruchu-po-okregu"]], "Wzgl\u0119dno\u015b\u0107 ruchu po okr\u0119gu": [[65, "wzglednosc-ruchu-po-okregu"], [66, "wzglednosc-ruchu-po-okregu"]], "\\bf{\\vec{v} \\leftrightarrow \\vec{v'}}": [[65, "bf-vec-v-leftrightarrow-vec-v"], [66, "bf-vec-v-leftrightarrow-vec-v"]], "\\bf{\\vec{a} \\leftrightarrow \\vec{a'}}": [[65, "bf-vec-a-leftrightarrow-vec-a"], [66, "bf-vec-a-leftrightarrow-vec-a"]], "Przyspieszenie styczne i normalne": [[65, "przyspieszenie-styczne-i-normalne"], [66, "przyspieszenie-styczne-i-normalne"]], "Dynamika": [[65, "dynamika"], [66, "dynamika"]], "Prawo bezw\u0142adno\u015bci aka I Zasada Dynamiki Newtona": [[65, "prawo-bezwladnosci-aka-i-zasada-dynamiki-newtona"], [66, "prawo-bezwladnosci-aka-i-zasada-dynamiki-newtona"]], "P\u0119d": [[65, "ped"], [65, null], [66, "ped"], [66, null]], "Manewr grawitacyjny": [[65, "manewr-grawitacyjny"], [66, "manewr-grawitacyjny"]], "Zasady dynamiki Newtona": [[65, "zasady-dynamiki-newtona"], [66, "zasady-dynamiki-newtona"]], "II Zasada Dynamiki Newtona": [[65, null], [66, null]], "III Zasada Dynamiki Newtona": [[65, null], [66, null]], "Uk\u0142ady nieinercjalne i si\u0142y bezw\u0142adno\u015bci": [[65, "uklady-nieinercjalne-i-sily-bezwladnosci"], [66, "uklady-nieinercjalne-i-sily-bezwladnosci"]], "Przyk\u0142ady": [[65, "przyklady"], [66, "przyklady"]], "Si\u0142y dzia\u0142aj\u0105ce na cia\u0142a na powierzchni ziemii": [[65, "sily-dzialajace-na-ciala-na-powierzchni-ziemii"], [66, "sily-dzialajace-na-ciala-na-powierzchni-ziemii"]], "Si\u0142a Coriolisa \\vec{F_c}": [[65, null], [66, null]], "Zastosowania praw dynamiki": [[65, "zastosowania-praw-dynamiki"], [66, "zastosowania-praw-dynamiki"]], "maszyna Atwooda": [[65, "maszyna-atwooda"], [66, "maszyna-atwooda"]], "Si\u0142y tarcia": [[65, "sily-tarcia"], [66, "sily-tarcia"]], "Si\u0142a tarcia": [[65, null], [66, null]], "Tarcie Statyczne": [[65, "tarcie-statyczne"], [66, "tarcie-statyczne"]], "Tarcie statyczne": [[65, null], [66, null]], "Cia\u0142o na r\u00f3wni pochy\u0142ej": [[65, "cialo-na-rowni-pochylej"], [66, "cialo-na-rowni-pochylej"]], "Ruch pod wp\u0142ywem si\u0142y spr\u0119\u017cystej": [[65, "ruch-pod-wplywem-sily-sprezystej"], [66, "ruch-pod-wplywem-sily-sprezystej"]], "Prawo Hooke\u2019a": [[65, null], [66, null]], "Dynamika ruchu krzywoliniowego punktu materialnego": [[65, "dynamika-ruchu-krzywoliniowego-punktu-materialnego"], [66, "dynamika-ruchu-krzywoliniowego-punktu-materialnego"]], "Moment Si\u0142y": [[65, "moment-sily"], [66, "moment-sily"]], "Si\u0142a Centralna": [[65, "sila-centralna"], [66, "sila-centralna"]], "Praca i Energia": [[65, "praca-i-energia"], [66, "praca-i-energia"]], "Praca": [[65, "praca"], [66, "praca"]], "Moc": [[65, "moc"], [66, "moc"]], "Energia": [[65, "energia"], [66, "energia"]], "Energia Kinetyczna": [[65, "energia-kinetyczna"], [66, "energia-kinetyczna"]], "Energia Potencjalna": [[65, "energia-potencjalna"], [65, "id2"], [66, "energia-potencjalna"], [66, "id2"]], "Si\u0142a Zachowawcza": [[65, "sila-zachowawcza"], [65, null], [66, "sila-zachowawcza"], [66, null]], "Si\u0142a oporu w o\u015brodku lepkim": [[65, "sila-oporu-w-osrodku-lepkim"], [66, "sila-oporu-w-osrodku-lepkim"]], "Wz\u00f3r Stoksa": [[65, null], [66, null]], "Spadek w powietrzu": [[65, "spadek-w-powietrzu"], [66, "spadek-w-powietrzu"]], "Dynamika cia\u0142o o zmiennej masie": [[65, "dynamika-cialo-o-zmiennej-masie"], [66, "dynamika-cialo-o-zmiennej-masie"]], "3 przyk\u0142ady": [[65, "id1"], [66, "id1"]], "Dynamika rakiety": [[65, "dynamika-rakiety"], [66, "dynamika-rakiety"]], "Energia w p\u0142askim ruchu krzywoliniowym": [[65, "energia-w-plaskim-ruchu-krzywoliniowym"], [66, "energia-w-plaskim-ruchu-krzywoliniowym"]], "Ruch drgaj\u0105cy": [[65, "ruch-drgajacy"], [66, "ruch-drgajacy"]], "Kinematyka prostego ruchu harmonicznego": [[65, "kinematyka-prostego-ruchu-harmonicznego"], [66, "kinematyka-prostego-ruchu-harmonicznego"]], "Wachad\u0142o matematyczne": [[65, "wachadlo-matematyczne"], [66, "wachadlo-matematyczne"]], "Superpozycja drga\u0144 prostych": [[65, "superpozycja-drgan-prostych"], [66, "superpozycja-drgan-prostych"]], "\\omega_1 \\neq \\omega_2": [[65, "omega-1-neq-omega-2"], [66, "omega-1-neq-omega-2"]], "Drgania Harmoniczne t\u0142umione": [[65, "drgania-harmoniczne-tlumione"], [66, "drgania-harmoniczne-tlumione"]], "Drgania wymuszone i rezonans": [[65, "drgania-wymuszone-i-rezonans"], [66, "drgania-wymuszone-i-rezonans"]], "Analiza Furiera Ruchu Harmonicznego": [[65, "analiza-furiera-ruchu-harmonicznego"], [66, "analiza-furiera-ruchu-harmonicznego"]], "Twierdzenie Furiera": [[65, null], [66, null]], "Reprezentacja ruchu drgaj\u0105cego w przestrzeni fazowej": [[65, "reprezentacja-ruchu-drgajacego-w-przestrzeni-fazowej"], [66, "reprezentacja-ruchu-drgajacego-w-przestrzeni-fazowej"]], "Przestrzze\u0144 Fazowa": [[65, null], [66, null]], "atraktor": [[65, null], [66, null]], "T\u0142umienie i wymuszenie": [[65, "tlumienie-i-wymuszenie"], [66, "tlumienie-i-wymuszenie"]], "Chaos": [[65, "chaos"], [66, "chaos"]], "bifurkacja": [[65, null], [66, null]], "Grawitacja": [[65, "grawitacja"], [66, "grawitacja"]], "Prawa Kepplera": [[65, "prawa-kepplera"], [66, "prawa-kepplera"]], "I Prawo Kepplera": [[65, null], [66, null]], "II Prawo Kepplera": [[65, null], [66, null]], "III Prawo Kepplera": [[65, null], [66, null]], "Dynamika planet wed\u0142ug Newtona": [[65, "dynamika-planet-wedlug-newtona"], [66, "dynamika-planet-wedlug-newtona"]], "Masa Ziemii": [[65, null], [66, null]], "Oddzia\u0142ywanie grawitacjyne": [[65, "oddzialywanie-grawitacjyne"], [66, "oddzialywanie-grawitacjyne"]], "Zasada superpozycji p\u00f3l": [[65, null], [66, null]], "Potencja\u0142": [[65, null], [66, null]], "Ruch w centralnym polu grawitacyjnym": [[65, "ruch-w-centralnym-polu-grawitacyjnym"], [66, "ruch-w-centralnym-polu-grawitacyjnym"]], "Opis krzywych sto\u017ckowych w biegunowym uk\u0142adzie wsp\u00f3\u0142rz\u0119dnych": [[65, "opis-krzywych-stozkowych-w-biegunowym-ukladzie-wspolrzednych"], [66, "opis-krzywych-stozkowych-w-biegunowym-ukladzie-wspolrzednych"]], "twierdzenie o krzywych sto\u017ckowych": [[65, "twierdzenie-o-krzywych-stozkowych"], [66, "twierdzenie-o-krzywych-stozkowych"]], "Oddzia\u0142ywanie grawitacyjne mas kulistych": [[65, "oddzialywanie-grawitacyjne-mas-kulistych"], [66, "oddzialywanie-grawitacyjne-mas-kulistych"]], "Przyk\u0142ady wst\u0119pne": [[65, "przyklady-wstepne"], [66, "przyklady-wstepne"]], "Pole powierzchni sfery": [[65, "pole-powierzchni-sfery"], [66, "pole-powierzchni-sfery"]], "Obj\u0119to\u015b\u0107 kuli": [[65, "objetosc-kuli"], [66, "objetosc-kuli"]], "Pole grawitacyjne wytworzone przez sfer\u0119": [[65, "pole-grawitacyjne-wytworzone-przez-sfere"], [66, "pole-grawitacyjne-wytworzone-przez-sfere"]], "Podstawy eksploracji przestrzeni kosmicznej": [[65, "podstawy-eksploracji-przestrzeni-kosmicznej"], [66, "podstawy-eksploracji-przestrzeni-kosmicznej"]], "Eksploracja uk\u0142adu s\u0142onecznego": [[65, "eksploracja-ukladu-slonecznego"], [66, "eksploracja-ukladu-slonecznego"]], "Dynamika Uk\u0142adu Punkt\u00f3w": [[65, "dynamika-ukladu-punktow"], [66, "dynamika-ukladu-punktow"]], "\u015arodek masy": [[65, "srodek-masy"], [66, "srodek-masy"]], "Moment P\u0119du uk\u0142adu cz\u0105stek": [[65, "moment-pedu-ukladu-czastek"], [66, "moment-pedu-ukladu-czastek"]], "Wewn\u0119trzny i orbitalny moment p\u0119du": [[65, "wewnetrzny-i-orbitalny-moment-pedu"], [66, "wewnetrzny-i-orbitalny-moment-pedu"]], "Moment P\u0119du Bry\u0142y Sztywnej": [[65, "moment-pedu-bryly-sztywnej"], [66, "moment-pedu-bryly-sztywnej"]], "bry\u0142a sztywna": [[65, null], [66, null]], "Moment bezw\u0142adno\u015bci": [[65, "moment-bezwladnosci"], [66, "moment-bezwladnosci"]], "Moment Bezw\u0142adno\u015bci": [[65, null], [66, null]], "Tensor": [[65, null], [66, null]], "Dynamika ruchu obrotowego bry\u0142y wzgl\u0119dem osi g\u0142\u00f3wnej": [[65, "dynamika-ruchu-obrotowego-bryly-wzgledem-osi-glownej"], [66, "dynamika-ruchu-obrotowego-bryly-wzgledem-osi-glownej"]], "II zasada dynamiki dla ruchu obrotowego": [[65, null], [66, null]], "Staczanie walca z r\u00f3\u0153ni pochy\u0142ej": [[65, "staczanie-walca-z-rooeni-pochylej"], [66, "staczanie-walca-z-rooeni-pochylej"]], "Twierdzenie Steinera": [[65, "twierdzenie-steinera"], [66, "twierdzenie-steinera"]], "Wachad\u0142o Fizyczne": [[65, "wachadlo-fizyczne"], [66, "wachadlo-fizyczne"]], "Wachad\u0142o Torsyjne": [[65, "wachadlo-torsyjne"], [66, "wachadlo-torsyjne"]], "Energia kinetyczna bry\u0142y sztywnej": [[65, "energia-kinetyczna-bryly-sztywnej"], [66, "energia-kinetyczna-bryly-sztywnej"]], "Tarcie toczne": [[65, "tarcie-toczne"], [66, "tarcie-toczne"]], "Elipsoida bezw\u0142adno\u015bci": [[65, "elipsoida-bezwladnosci"], [66, "elipsoida-bezwladnosci"]], "Twierdzenie o elipsoidzie bezw\u0142adno\u015bci": [[65, null], [66, null]], "Konsekwencje zasady zachowania momentu p\u0119du": [[65, "konsekwencje-zasady-zachowania-momentu-pedu"], [66, "konsekwencje-zasady-zachowania-momentu-pedu"]], "Statyka Bry\u0142y Sztywnej": [[65, "statyka-bryly-sztywnej"], [66, "statyka-bryly-sztywnej"]], "Elementy Mechaniki P\u0142yn\u00f3w": [[65, "elementy-mechaniki-plynow"], [66, "elementy-mechaniki-plynow"]], "G\u0119sto\u015b\u0107": [[65, null], [66, null]], "Ci\u015bnienie": [[65, null], [66, null]], "Ci\u015bnienie hydrostatyczne": [[65, "cisnienie-hydrostatyczne"], [66, "cisnienie-hydrostatyczne"]], "Hydrostatyka": [[65, "hydrostatyka"], [66, "hydrostatyka"]], "Prawo Pascala": 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"calkowanie-funkcji-typu-r-cos-x-sin-x"]], "Ca\u0142ki z pierwiastkiem": [[34, "calki-z-pierwiastkiem"], [49, "calki-z-pierwiastkiem"]], "Ca\u0142ka Oznaczona (Rimana)": [[34, "calka-oznaczona-rimana"], [50, "calka-oznaczona-rimana"]], "definicja ca\u0142ki oznaczonej": [[34, null], [50, null]], "W\u0142asno\u015bci ca\u0142ki Rimmana": [[34, "wlasnosci-calki-rimmana"], [50, "wlasnosci-calki-rimmana"]], "Zastosowania ca\u0142ek": [[34, "zastosowania-calek"], [51, "zastosowania-calek"]], "Pole pod wykresem": [[34, "pole-pod-wykresem"], [51, "pole-pod-wykresem"]], "pole elipsy": [[34, null], [51, null]], "Krzywe Sto\u017ckowe": [[34, "krzywe-stozkowe"], [52, "krzywe-stozkowe"]], "Matematyka 1 - \u0107wiczenia": [[53, "matematyka-1-cwiczenia"], [54, "matematyka-1-cwiczenia"]], "Wz\u00f3r sterlinga": [[53, null], [54, null]], "Przydatne w\u0142asno\u015bci": [[53, "przydatne-wlasnosci"], [55, "przydatne-wlasnosci"]], "Przyk\u0142adowa tabela przebiegu zmienno\u015bci funkcji:": [[53, "przykladowa-tabela-przebiegu-zmiennosci-funkcji"], [55, "przykladowa-tabela-przebiegu-zmiennosci-funkcji"]], "Triksy": [[53, "triksy"], [55, "triksy"]], "Ca\u0142ki - Istotne wzory / wyprowadzenia": [[53, "calki-istotne-wzory-wyprowadzenia"], [56, "calki-istotne-wzory-wyprowadzenia"]], "Ca\u0142ki Rimmana - tricki / przydatne wzory": [[53, "calki-rimmana-tricki-przydatne-wzory"], [58, "calki-rimmana-tricki-przydatne-wzory"]], "Granice: - Tricki": [[53, "granice-tricki"], [60, "granice-tricki"]], "Symbole Nieoznaczone czyli co z tym robi\u0107?": [[53, "symbole-nieoznaczone-czyli-co-z-tym-robic"], [60, "symbole-nieoznaczone-czyli-co-z-tym-robic"]], "0 * \\infty": [[53, "infty"], [60, "infty"]], "\\infty - \\infty": [[53, "infty-infty"], [60, "infty-infty"]], "\\frac{\\infty}{\\infty} i \\frac{0}{0}": [[53, "frac-infty-infty-i-frac-0-0"], [60, "frac-infty-infty-i-frac-0-0"]], "Matematyka 2": [[61, "matematyka-2"], [62, "matematyka-2"]], "Ca\u0142ki dla przecia\u0142\u00f3w niesko\u0144czonych": [[61, "calki-dla-przecialow-nieskonczonych"], [63, "calki-dla-przecialow-nieskonczonych"]], "Ca\u0142ki funkcji niesko\u0144czonych": [[61, "calki-funkcji-nieskonczonych"], [63, "calki-funkcji-nieskonczonych"]], "Szczeg\u00f3lne przypadki ca\u0142ek na przedzia\u0142ach nieograniczonych": [[61, "szczegolne-przypadki-calek-na-przedzialach-nieograniczonych"], [63, "szczegolne-przypadki-calek-na-przedzialach-nieograniczonych"]], "Kryteria por\u00f3wnawcze": [[61, "kryteria-porownawcze"], [63, "kryteria-porownawcze"]], "Szeregi": [[61, "szeregi"], [63, "szeregi"]], "bezwzgl\u0119dna zbierzno\u015b\u0107": [[61, null], [63, null]], "Funkcja Gamma Eulera": [[61, "funkcja-gamma-eulera"], [64, "funkcja-gamma-eulera"]], "W\u0142asno\u015b\u0107i": [[61, "wlasnosci"], [64, "wlasnosci"]], "Funkcja \\beta": [[61, "funkcja-beta"], [64, "funkcja-beta"]], "Mechanika": [[65, "mechanika"], [66, "mechanika"]], "Wst\u0119p #2": [[65, "wstep-2"], [66, "wstep-2"]], "Uk\u0142ady Odniesienia": [[65, "uklady-odniesienia"], [66, "uklady-odniesienia"]], "Matma": [[65, "matma"], [66, "matma"]], "Rachunek r\u00f3\u017cniczkowy": [[65, "rachunek-rozniczkowy"], [66, "rachunek-rozniczkowy"]], "Rachunek ca\u0142kowy": [[65, "rachunek-calkowy"], [66, "rachunek-calkowy"]], "Podstawy Kinematyki": [[65, "podstawy-kinematyki"], [66, "podstawy-kinematyki"]], "Ruch punktu materialnego na p\u0142aszczy\u017anie": [[65, "ruch-punktu-materialnego-na-plaszczyznie"], [66, "ruch-punktu-materialnego-na-plaszczyznie"]], "Pr\u0119dko\u015b\u0107": [[65, "predkosc"], [66, "predkosc"]], "Pr\u0119dko\u015b\u0107 \u015arednia": [[65, null], [66, null]], "Pr\u0119dko\u015b\u0107 chwilowa": [[65, null], [66, null]], "Przyspieszenie": [[65, "przyspieszenie"], [66, "przyspieszenie"]], "Przyspieszenie \u015brednie i chwilowe": [[65, null], [66, null]], "Rzut uko\u015bny (przyk\u0142ad 1)": [[65, "rzut-ukosny-przyklad-1"], [66, "rzut-ukosny-przyklad-1"]], "Zasi\u0119g": [[65, "zasieg"], [66, "zasieg"]], "Ruch \u0142udki w poprzek rzeki (przyk\u0142ad 2)": [[65, "ruch-ludki-w-poprzek-rzeki-przyklad-2"], [66, "ruch-ludki-w-poprzek-rzeki-przyklad-2"]], "Za\u0142orzenia": [[65, null], [66, null]], "Ruch wzgl\u0119dny i transformacja galileusza": [[65, "ruch-wzgledny-i-transformacja-galileusza"], [66, "ruch-wzgledny-i-transformacja-galileusza"]], "Dynamika ruchu po okr\u0119gu": [[65, "dynamika-ruchu-po-okregu"], [66, "dynamika-ruchu-po-okregu"]], "Wzgl\u0119dno\u015b\u0107 ruchu po okr\u0119gu": [[65, "wzglednosc-ruchu-po-okregu"], [66, "wzglednosc-ruchu-po-okregu"]], "\\bf{\\vec{v} \\leftrightarrow \\vec{v'}}": [[65, "bf-vec-v-leftrightarrow-vec-v"], [66, "bf-vec-v-leftrightarrow-vec-v"]], "\\bf{\\vec{a} \\leftrightarrow \\vec{a'}}": [[65, "bf-vec-a-leftrightarrow-vec-a"], [66, "bf-vec-a-leftrightarrow-vec-a"]], "Przyspieszenie styczne i normalne": [[65, "przyspieszenie-styczne-i-normalne"], [66, "przyspieszenie-styczne-i-normalne"]], "Dynamika": [[65, "dynamika"], [66, "dynamika"]], "Prawo bezw\u0142adno\u015bci aka I Zasada Dynamiki Newtona": [[65, "prawo-bezwladnosci-aka-i-zasada-dynamiki-newtona"], [66, "prawo-bezwladnosci-aka-i-zasada-dynamiki-newtona"]], "P\u0119d": [[65, "ped"], [65, null], [66, "ped"], [66, null]], "Manewr grawitacyjny": [[65, "manewr-grawitacyjny"], [66, "manewr-grawitacyjny"]], "Zasady dynamiki Newtona": [[65, "zasady-dynamiki-newtona"], [66, "zasady-dynamiki-newtona"]], "II Zasada Dynamiki Newtona": [[65, null], [66, null]], "III Zasada Dynamiki Newtona": [[65, null], [66, null]], "Uk\u0142ady nieinercjalne i si\u0142y bezw\u0142adno\u015bci": [[65, "uklady-nieinercjalne-i-sily-bezwladnosci"], [66, "uklady-nieinercjalne-i-sily-bezwladnosci"]], "Przyk\u0142ady": [[65, "przyklady"], [66, "przyklady"]], "Si\u0142y dzia\u0142aj\u0105ce na cia\u0142a na powierzchni ziemii": [[65, "sily-dzialajace-na-ciala-na-powierzchni-ziemii"], [66, "sily-dzialajace-na-ciala-na-powierzchni-ziemii"]], "Si\u0142a Coriolisa \\vec{F_c}": [[65, null], [66, null]], "Zastosowania praw dynamiki": [[65, "zastosowania-praw-dynamiki"], [66, "zastosowania-praw-dynamiki"]], "maszyna Atwooda": [[65, "maszyna-atwooda"], [66, "maszyna-atwooda"]], "Si\u0142y tarcia": [[65, "sily-tarcia"], [66, "sily-tarcia"]], "Si\u0142a tarcia": [[65, null], [66, null]], "Tarcie Statyczne": [[65, "tarcie-statyczne"], [66, "tarcie-statyczne"]], "Tarcie statyczne": [[65, null], [66, null]], "Cia\u0142o na r\u00f3wni pochy\u0142ej": [[65, "cialo-na-rowni-pochylej"], [66, "cialo-na-rowni-pochylej"]], "Ruch pod wp\u0142ywem si\u0142y spr\u0119\u017cystej": [[65, "ruch-pod-wplywem-sily-sprezystej"], [66, "ruch-pod-wplywem-sily-sprezystej"]], "Prawo Hooke\u2019a": [[65, null], [66, null]], "Dynamika ruchu krzywoliniowego punktu materialnego": [[65, "dynamika-ruchu-krzywoliniowego-punktu-materialnego"], [66, "dynamika-ruchu-krzywoliniowego-punktu-materialnego"]], "Moment Si\u0142y": [[65, "moment-sily"], [66, "moment-sily"]], "Si\u0142a Centralna": [[65, "sila-centralna"], [66, "sila-centralna"]], "Praca i Energia": [[65, "praca-i-energia"], [66, "praca-i-energia"]], "Praca": [[65, "praca"], [66, "praca"]], "Moc": [[65, "moc"], [66, "moc"]], "Energia": [[65, "energia"], [66, "energia"]], "Energia Kinetyczna": [[65, "energia-kinetyczna"], [66, "energia-kinetyczna"]], "Energia Potencjalna": [[65, "energia-potencjalna"], [65, "id2"], [66, "energia-potencjalna"], [66, "id2"]], "Si\u0142a Zachowawcza": [[65, "sila-zachowawcza"], [65, null], [66, "sila-zachowawcza"], [66, null]], "Si\u0142a oporu w o\u015brodku lepkim": [[65, "sila-oporu-w-osrodku-lepkim"], [66, "sila-oporu-w-osrodku-lepkim"]], "Wz\u00f3r Stoksa": [[65, null], [66, null]], "Spadek w powietrzu": [[65, "spadek-w-powietrzu"], [66, "spadek-w-powietrzu"]], "Dynamika cia\u0142o o zmiennej masie": [[65, "dynamika-cialo-o-zmiennej-masie"], [66, "dynamika-cialo-o-zmiennej-masie"]], "3 przyk\u0142ady": [[65, "id1"], [66, "id1"]], "Dynamika rakiety": [[65, "dynamika-rakiety"], [66, "dynamika-rakiety"]], "Energia w p\u0142askim ruchu krzywoliniowym": [[65, "energia-w-plaskim-ruchu-krzywoliniowym"], [66, "energia-w-plaskim-ruchu-krzywoliniowym"]], "Ruch drgaj\u0105cy": [[65, "ruch-drgajacy"], [66, "ruch-drgajacy"]], "Kinematyka prostego ruchu harmonicznego": [[65, "kinematyka-prostego-ruchu-harmonicznego"], [66, "kinematyka-prostego-ruchu-harmonicznego"]], "Wachad\u0142o matematyczne": [[65, "wachadlo-matematyczne"], [66, "wachadlo-matematyczne"]], "Superpozycja drga\u0144 prostych": [[65, "superpozycja-drgan-prostych"], [66, "superpozycja-drgan-prostych"]], "\\omega_1 \\neq \\omega_2": [[65, "omega-1-neq-omega-2"], [66, "omega-1-neq-omega-2"]], "Drgania Harmoniczne t\u0142umione": [[65, "drgania-harmoniczne-tlumione"], [66, "drgania-harmoniczne-tlumione"]], "Drgania wymuszone i rezonans": [[65, "drgania-wymuszone-i-rezonans"], [66, "drgania-wymuszone-i-rezonans"]], "Analiza Furiera Ruchu Harmonicznego": [[65, "analiza-furiera-ruchu-harmonicznego"], [66, "analiza-furiera-ruchu-harmonicznego"]], "Twierdzenie Furiera": [[65, null], [66, null]], "Reprezentacja ruchu drgaj\u0105cego w przestrzeni fazowej": [[65, "reprezentacja-ruchu-drgajacego-w-przestrzeni-fazowej"], [66, "reprezentacja-ruchu-drgajacego-w-przestrzeni-fazowej"]], "Przestrzze\u0144 Fazowa": [[65, null], [66, null]], "atraktor": [[65, null], [66, null]], "T\u0142umienie i wymuszenie": [[65, "tlumienie-i-wymuszenie"], [66, "tlumienie-i-wymuszenie"]], "Chaos": [[65, "chaos"], [66, "chaos"]], "bifurkacja": [[65, null], [66, null]], "Grawitacja": [[65, "grawitacja"], [66, "grawitacja"]], "Prawa Kepplera": [[65, "prawa-kepplera"], [66, "prawa-kepplera"]], "I Prawo Kepplera": [[65, null], [66, null]], "II Prawo Kepplera": [[65, null], [66, null]], "III Prawo Kepplera": [[65, null], [66, null]], "Dynamika planet wed\u0142ug Newtona": [[65, "dynamika-planet-wedlug-newtona"], [66, "dynamika-planet-wedlug-newtona"]], "Masa Ziemii": [[65, null], [66, null]], "Oddzia\u0142ywanie grawitacjyne": [[65, "oddzialywanie-grawitacjyne"], [66, "oddzialywanie-grawitacjyne"]], "Zasada superpozycji p\u00f3l": [[65, null], [66, null]], "Potencja\u0142": [[65, null], [66, null]], "Ruch w centralnym polu grawitacyjnym": [[65, "ruch-w-centralnym-polu-grawitacyjnym"], [66, "ruch-w-centralnym-polu-grawitacyjnym"]], "Opis krzywych sto\u017ckowych w biegunowym uk\u0142adzie wsp\u00f3\u0142rz\u0119dnych": [[65, "opis-krzywych-stozkowych-w-biegunowym-ukladzie-wspolrzednych"], [66, "opis-krzywych-stozkowych-w-biegunowym-ukladzie-wspolrzednych"]], "twierdzenie o krzywych sto\u017ckowych": [[65, "twierdzenie-o-krzywych-stozkowych"], [66, "twierdzenie-o-krzywych-stozkowych"]], "Oddzia\u0142ywanie grawitacyjne mas kulistych": [[65, "oddzialywanie-grawitacyjne-mas-kulistych"], [66, "oddzialywanie-grawitacyjne-mas-kulistych"]], "Przyk\u0142ady wst\u0119pne": [[65, "przyklady-wstepne"], [66, "przyklady-wstepne"]], "Pole powierzchni sfery": [[65, "pole-powierzchni-sfery"], [66, "pole-powierzchni-sfery"]], "Obj\u0119to\u015b\u0107 kuli": [[65, "objetosc-kuli"], [66, "objetosc-kuli"]], "Pole grawitacyjne wytworzone przez sfer\u0119": [[65, "pole-grawitacyjne-wytworzone-przez-sfere"], [66, "pole-grawitacyjne-wytworzone-przez-sfere"]], "Podstawy eksploracji przestrzeni kosmicznej": [[65, "podstawy-eksploracji-przestrzeni-kosmicznej"], [66, "podstawy-eksploracji-przestrzeni-kosmicznej"]], "Eksploracja uk\u0142adu s\u0142onecznego": [[65, "eksploracja-ukladu-slonecznego"], [66, "eksploracja-ukladu-slonecznego"]], "Dynamika Uk\u0142adu Punkt\u00f3w": [[65, "dynamika-ukladu-punktow"], [66, "dynamika-ukladu-punktow"]], "\u015arodek masy": [[65, "srodek-masy"], [66, "srodek-masy"]], "Moment P\u0119du uk\u0142adu cz\u0105stek": [[65, "moment-pedu-ukladu-czastek"], [66, "moment-pedu-ukladu-czastek"]], "Wewn\u0119trzny i orbitalny moment p\u0119du": [[65, "wewnetrzny-i-orbitalny-moment-pedu"], [66, "wewnetrzny-i-orbitalny-moment-pedu"]], "Moment P\u0119du Bry\u0142y Sztywnej": [[65, "moment-pedu-bryly-sztywnej"], [66, "moment-pedu-bryly-sztywnej"]], "bry\u0142a sztywna": [[65, null], [66, null]], "Moment bezw\u0142adno\u015bci": [[65, "moment-bezwladnosci"], [66, "moment-bezwladnosci"]], "Moment Bezw\u0142adno\u015bci": [[65, null], [66, null]], "Tensor": [[65, null], [66, null]], "Dynamika ruchu obrotowego bry\u0142y wzgl\u0119dem osi g\u0142\u00f3wnej": [[65, "dynamika-ruchu-obrotowego-bryly-wzgledem-osi-glownej"], [66, "dynamika-ruchu-obrotowego-bryly-wzgledem-osi-glownej"]], "II zasada dynamiki dla ruchu obrotowego": [[65, null], [66, null]], "Staczanie walca z r\u00f3\u0153ni pochy\u0142ej": [[65, "staczanie-walca-z-rooeni-pochylej"], [66, "staczanie-walca-z-rooeni-pochylej"]], "Twierdzenie Steinera": [[65, "twierdzenie-steinera"], [66, "twierdzenie-steinera"]], "Wachad\u0142o Fizyczne": [[65, "wachadlo-fizyczne"], [66, "wachadlo-fizyczne"]], "Wachad\u0142o Torsyjne": [[65, "wachadlo-torsyjne"], [66, "wachadlo-torsyjne"]], "Energia kinetyczna bry\u0142y sztywnej": [[65, "energia-kinetyczna-bryly-sztywnej"], [66, "energia-kinetyczna-bryly-sztywnej"]], "Tarcie toczne": [[65, "tarcie-toczne"], [66, "tarcie-toczne"]], "Elipsoida bezw\u0142adno\u015bci": [[65, "elipsoida-bezwladnosci"], [66, "elipsoida-bezwladnosci"]], "Twierdzenie o elipsoidzie bezw\u0142adno\u015bci": [[65, null], [66, null]], "Konsekwencje zasady zachowania momentu p\u0119du": [[65, "konsekwencje-zasady-zachowania-momentu-pedu"], [66, "konsekwencje-zasady-zachowania-momentu-pedu"]], "Statyka Bry\u0142y Sztywnej": [[65, "statyka-bryly-sztywnej"], [66, "statyka-bryly-sztywnej"]], "Elementy Mechaniki P\u0142yn\u00f3w": [[65, "elementy-mechaniki-plynow"], [66, "elementy-mechaniki-plynow"]], "G\u0119sto\u015b\u0107": [[65, null], [66, null]], "Ci\u015bnienie": [[65, null], [66, null]], "Ci\u015bnienie hydrostatyczne": [[65, "cisnienie-hydrostatyczne"], [66, "cisnienie-hydrostatyczne"]], "Hydrostatyka": [[65, "hydrostatyka"], [66, "hydrostatyka"]], "Prawo Pascala": [[65, null], [66, null]], "Paradoks hydrostatyczny": [[65, null], [66, null]], "Prawo archimedesa": [[65, null], [66, null]], "Barometr Torrichellego": [[65, "barometr-torrichellego"], [66, "barometr-torrichellego"]], "Og\u00f3lny opis przep\u0142ywu p\u0142yn\u00f3w": [[65, "ogolny-opis-przeplywu-plynow"], [66, "ogolny-opis-przeplywu-plynow"]], "Poj\u0119cie strugi": [[65, "pojecie-strugi"], [66, "pojecie-strugi"]], "Prawo Bernoilli\u2019ego": [[65, "prawo-bernoilliego"], [66, "prawo-bernoilliego"]], "Si\u0142a no\u015bna dzia\u0142aj\u0105ca na skrzyd\u0142o": [[65, null], [66, null]], "Opis przep\u0142ywu laminarnego cieczy przez rur\u0119": [[65, "opis-przeplywu-laminarnego-cieczy-przez-rure"], [66, "opis-przeplywu-laminarnego-cieczy-przez-rure"]], "Prawo Hagena Poisseli": [[65, null], [66, null]], "Podobie\u0144\u015btwo hydrodynamiczne i liczba Raynoldsa": [[65, "podobienstwo-hydrodynamiczne-i-liczba-raynoldsa"], [66, "podobienstwo-hydrodynamiczne-i-liczba-raynoldsa"]], 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