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"uczelnia/1_semestr/fizyka_dla_informatyków/1_lab/Oporniki.md", + "Pasted image 20251003143146.png", + "2025-10-03.md", + "uczelnia/1_semestr/fizyka_dla_informatyków", + "uczelnia/1_semestr/matematyka_ze_statystyką", + "uczelnia/1_semestr", + "uczelnia/1_semestr/algorytmy", + "uczelnia", + "Welcome.md" + ] +} \ No newline at end of file diff --git a/README.md b/README.md index 6444f3f..2797c42 100644 --- a/README.md +++ b/README.md @@ -1,4 +1,17 @@ # Notakti z zajęć ZUT. + +## Jak się tego używa Do otworzenia w programie `obsidian`. Wszystkie pliki, są w formacie `.md`, więc teoretycznie można to otworzyć wszędzie, ale obsidian rysuje ładne mapy myśli. + +## Źródła +Skąd są te informacje? Większość rzeczy biorę z wykładów, dodatkowo jakieś grafiki tworzę sam lub pobieram z internetu. Tutaj będę zamieszczał ewentualne źródła: +- https://www.matemaks.pl/liczby-zespolone.html +- https://forbot.pl/blog/kurs-elektroniki-multimetr-pomiary-rezystory-id3952#gallery-6 + +## Powaga +Styl raczej merytoryczny z mniej poważnymi wtrętami. Ma być to przede wszystkim przyjemne do nauki :) + +## PR +Jeśli bardzo chcesz, możesz stworzyć PR prostujący jakieś informacje lub uzupełniający dany temat. \ No newline at end of file diff --git a/Pasted image 20251003143146.png b/media/Pasted image 20251003143146.png similarity index 100% rename from Pasted image 20251003143146.png rename to media/Pasted image 20251003143146.png diff --git a/media/Pasted image 20251006150156.png b/media/Pasted image 20251006150156.png new file mode 100644 index 0000000000000000000000000000000000000000..6d93845630051538de43c39aafbd04a063d3677f GIT binary patch literal 15866 zcmb_@4Oo-c`F9WnQ88_;RfmvTYgtEYs#d8INITcs&RMouWgSTLb(Xb?QBadWNI+Cp zDWt7av}j`2uKX(ltWE!?|n`Z+OGS*@Bh87_qux7 z@O+%-KKIA({@wRE=l$Qlxgm1a&t}nRw8%GJ|JCnlv}v!x@A8>p@b8{GCOM6k*!0G) zUU`cjGS(P+{^_?*wOJ_Mc**t7imZ)0t22A92L5~Z1L>(>*GN~cdTQKtNd8{V7exuX z@6_C1ld|pLoh|quN*wary3q@j)z{EJZYnbWrvC=IOL1v$`EQ`Rq&W0^R^YXiZFVY( zb~5l9+@-X%|4IuEn&P9vUfzcuwX<(DeG>0Fv++U3@=s-JbqRB8@pn|;-@p3-C#Nzp 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a/uczelnia/1_semestr/1 semestr.md b/uczelnia/1_semestr/1 semestr.md index 017b0e1..23b6b27 100644 --- a/uczelnia/1_semestr/1 semestr.md +++ b/uczelnia/1_semestr/1 semestr.md @@ -2,4 +2,4 @@ [[Matematyka ze statystyką]] [[Fizyka dla informatyków]] [[Programowanie]] - +[[Algebra liniowa]] diff --git a/uczelnia/1_semestr/algebra_liniowa/1_wykład/1 wykład.md b/uczelnia/1_semestr/algebra_liniowa/1_wykład/1 wykład.md new file mode 100644 index 0000000..bc8305d --- /dev/null +++ b/uczelnia/1_semestr/algebra_liniowa/1_wykład/1 wykład.md @@ -0,0 +1,2 @@ +[[uczelnia/1_semestr/algebra_liniowa/1_wykład/Informacje|Informacje]] +[[Liczby zespolone]] \ No newline at end of file diff --git a/uczelnia/1_semestr/algebra_liniowa/1_wykład/Budowa.md b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Budowa.md new file mode 100644 index 0000000..7c00716 --- /dev/null +++ b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Budowa.md @@ -0,0 +1 @@ +![[Pasted image 20251006150156.png]] diff --git a/uczelnia/1_semestr/algebra_liniowa/1_wykład/Ciało algebraiczne.md b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Ciało algebraiczne.md new file mode 100644 index 0000000..db221ad --- /dev/null +++ b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Ciało algebraiczne.md @@ -0,0 +1,5 @@ +Liczby zespolone, to ciała algebraiczne. Zbiór jest ciałem algebraicznym, gdy spełnia następujące warunki: +- łączności: `z1 + (z2 + z3) = (z1 + z2) + z3` +- przemienności (chyba nie trzeba tłumaczyć czym jest przemienność) +- odwrotności (każdy element ma swój element odwrotny) +- przeciwności \ No newline at end of file diff --git a/uczelnia/1_semestr/algebra_liniowa/1_wykład/Co to?.md b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Co to?.md new file mode 100644 index 0000000..65055ac --- /dev/null +++ b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Co to?.md @@ -0,0 +1 @@ +Liczba urojona to liczba taka, że `i^2 = -1` \ No newline at end of file diff --git a/uczelnia/1_semestr/algebra_liniowa/1_wykład/Informacje.md b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Informacje.md new file mode 100644 index 0000000..9e3e698 --- /dev/null +++ b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Informacje.md @@ -0,0 +1 @@ +- Zaliczenie wykładów na końcu semestru \ No newline at end of file diff --git a/uczelnia/1_semestr/algebra_liniowa/1_wykład/Interpretacja geometryczna.md b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Interpretacja geometryczna.md new file mode 100644 index 0000000..4b67ffd --- /dev/null +++ b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Interpretacja geometryczna.md @@ -0,0 +1,7 @@ + +![[Pasted image 20251006151033.png]] +Liczby urojone przedstawiamy na dwuwymiarowej osi liczbowej, gdzie jedna płaszczyzna to liczby rzeczywiste, a druga urojone. Przypomina to grę w statki, tylko jeden z wymiarów fizycznie nie istnieje, więc jak się nad tym głębiej zastanowić, to ani trochę nie przypomina to gry w statki. + +![[Pasted image 20251006151308.png]] +[[Moduł]] +Kąt pomiędzy osią a, a |z| to [[fi]] \ No newline at end of file diff --git a/uczelnia/1_semestr/algebra_liniowa/1_wykład/Liczba sprzężona.md b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Liczba sprzężona.md new file mode 100644 index 0000000..b193a36 --- /dev/null +++ b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Liczba sprzężona.md @@ -0,0 +1,3 @@ +`z= a + bi` +`z¯=a − bi` +Prosta sprawa, po prostu zmieniamy znak przy części urojonej. \ No newline at end of file diff --git a/uczelnia/1_semestr/algebra_liniowa/1_wykład/Liczby zespolone.md b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Liczby zespolone.md new file mode 100644 index 0000000..d885ab4 --- /dev/null +++ b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Liczby zespolone.md @@ -0,0 +1,8 @@ +[[Co to?]] +[[Budowa]] +[[Ciało algebraiczne]] +[[Liczba sprzężona]] +[[Interpretacja geometryczna]] +[[Moduł]] +[[Postać trygonometryczna]] +[[Wzór de Moivre'a]] \ No newline at end of file diff --git a/uczelnia/1_semestr/algebra_liniowa/1_wykład/Moduł.md b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Moduł.md new file mode 100644 index 0000000..f45017a --- /dev/null +++ b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Moduł.md @@ -0,0 +1,6 @@ +Moduł to odległość. Wartość bezwzględna jest konkretnym przypadkiem modułu. +Wzór na moduł z liczby zespolonej: +![[Pasted image 20251006151439.png]] +Jest to zwyczajnie odległość od punktu 0 do konkretnej liczby zespolonej w układzie współrzędnych. +![[Pasted image 20251006151526.png]] +Ten dziwny znaczek pomiędzy |z| a osią a czytamy [[fi]]. diff --git a/uczelnia/1_semestr/algebra_liniowa/1_wykład/Postać trygonometryczna.md b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Postać trygonometryczna.md new file mode 100644 index 0000000..f76c292 --- /dev/null +++ b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Postać trygonometryczna.md @@ -0,0 +1,2 @@ +![[Pasted image 20251006152238.png]] +Tak wygląda postać trygonometryczna. Zawiera ona w sumie [[Moduł]] z `z` oraz funkcje trygonometryczne kąta [[fi]]. \ No newline at end of file diff --git a/uczelnia/1_semestr/algebra_liniowa/1_wykład/Wzór de Moivre'a.md b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Wzór de Moivre'a.md new file mode 100644 index 0000000..71b1bde --- /dev/null +++ b/uczelnia/1_semestr/algebra_liniowa/1_wykład/Wzór de Moivre'a.md @@ -0,0 +1,12 @@ + Liczby zespolone z,w∈C, z argumentami odpowiednio: α i β, Możemy zapisać w postaci trygonometrycznej: + + ![[Pasted image 20251006152512.png]] + + Iloczyn tych liczb: +![[Pasted image 20251006152559.png]] + +To wskazuje na to, że po wymnożeniu dwóch liczb zespolonych otrzymujemy liczbę zespoloną, której: +- moduł jest iloczynem modułów liczb z oraz w +- argument jest sumą argumentów liczb z oraz w +![[Pasted image 20251006152754.png]] +Dzięki temu cudownemu wzorowi możemy podnosić liczby zespolone do dowolnych potęg!!! diff --git a/uczelnia/1_semestr/algebra_liniowa/1_wykład/fi.md b/uczelnia/1_semestr/algebra_liniowa/1_wykład/fi.md new file mode 100644 index 0000000..96487c5 --- /dev/null +++ b/uczelnia/1_semestr/algebra_liniowa/1_wykład/fi.md @@ -0,0 +1,3 @@ +![[Pasted image 20251006151814.png]] +**Ważne: kąt fi nazywamy argumentem liczby z!!!** +![[Pasted image 20251006151730.png]] diff --git a/uczelnia/1_semestr/algebra_liniowa/Algebra liniowa.md b/uczelnia/1_semestr/algebra_liniowa/Algebra liniowa.md new file mode 100644 index 0000000..98ed3ce --- /dev/null +++ b/uczelnia/1_semestr/algebra_liniowa/Algebra liniowa.md @@ -0,0 +1 @@ +[[uczelnia/1_semestr/algebra_liniowa/1_wykład/1 wykład|1 wykład]] \ No newline at end of file diff --git a/uczelnia/1_semestr/algorytmy/1_wykład/Pierwszy wykład.md b/uczelnia/1_semestr/algorytmy/1_wykład/1 wykład.md similarity index 100% rename from uczelnia/1_semestr/algorytmy/1_wykład/Pierwszy wykład.md rename to uczelnia/1_semestr/algorytmy/1_wykład/1 wykład.md diff --git a/uczelnia/1_semestr/algorytmy/Algorytmy.md b/uczelnia/1_semestr/algorytmy/Algorytmy.md index 776e873..996f837 100644 --- a/uczelnia/1_semestr/algorytmy/Algorytmy.md +++ b/uczelnia/1_semestr/algorytmy/Algorytmy.md @@ -1 +1 @@ -[[uczelnia/1_semestr/algorytmy/1_wykład/Pierwszy wykład]] \ No newline at end of file +[[uczelnia/1_semestr/algorytmy/1_wykład/1 wykład]] \ No newline at end of file diff --git a/uczelnia/1_semestr/fizyka_dla_informatyków/.syncthing.1 lab.md.tmp b/uczelnia/1_semestr/fizyka_dla_informatyków/.syncthing.1 lab.md.tmp deleted file mode 100644 index 34886a1cc12a70f71e9430f3cc8d8713f727116d..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 67 LcmZQzpcnuE07C!) diff --git a/uczelnia/1_semestr/fizyka_dla_informatyków/1_lab/Pierwszy lab.md b/uczelnia/1_semestr/fizyka_dla_informatyków/1_lab/1 lab.md similarity index 100% rename from uczelnia/1_semestr/fizyka_dla_informatyków/1_lab/Pierwszy lab.md rename to uczelnia/1_semestr/fizyka_dla_informatyków/1_lab/1 lab.md diff --git a/uczelnia/1_semestr/fizyka_dla_informatyków/Fizyka dla informatyków.md b/uczelnia/1_semestr/fizyka_dla_informatyków/Fizyka dla informatyków.md index f8afb54..4dd34b8 100644 --- a/uczelnia/1_semestr/fizyka_dla_informatyków/Fizyka dla informatyków.md +++ b/uczelnia/1_semestr/fizyka_dla_informatyków/Fizyka dla informatyków.md @@ -1 +1 @@ -[[Pierwszy lab|Pierwszy lab]] \ No newline at end of file +[[1 lab|1 lab]] \ No newline at end of file diff --git a/uczelnia/1_semestr/matematyka_ze_statystyką/1_wykład/Pierwszy wykład.md b/uczelnia/1_semestr/matematyka_ze_statystyką/1_wykład/1 wykład.md similarity index 100% rename from uczelnia/1_semestr/matematyka_ze_statystyką/1_wykład/Pierwszy wykład.md rename to uczelnia/1_semestr/matematyka_ze_statystyką/1_wykład/1 wykład.md diff --git a/uczelnia/1_semestr/matematyka_ze_statystyką/Matematyka ze statystyką.md b/uczelnia/1_semestr/matematyka_ze_statystyką/Matematyka ze statystyką.md index 770aec9..6f28b7d 100644 --- a/uczelnia/1_semestr/matematyka_ze_statystyką/Matematyka ze statystyką.md +++ b/uczelnia/1_semestr/matematyka_ze_statystyką/Matematyka ze statystyką.md @@ -1 +1 @@ -[[uczelnia/1_semestr/matematyka_ze_statystyką/1_wykład/Pierwszy wykład|Pierwszy wykład]] \ No newline at end of file +[[uczelnia/1_semestr/matematyka_ze_statystyką/1_wykład/1 wykład|1 wykład]] \ No newline at end of file diff --git a/uczelnia/1_semestr/programowanie/1 wykład/1 wykład.md b/uczelnia/1_semestr/programowanie/1 wykład/1 wykład.md index 1492fe3..52d18f0 100644 --- a/uczelnia/1_semestr/programowanie/1 wykład/1 wykład.md +++ b/uczelnia/1_semestr/programowanie/1 wykład/1 wykład.md @@ -1,3 +1,3 @@ -[[Informacje]] +[[uczelnia/1_semestr/programowanie/1 wykład/Informacje]] [[Pierwszy program]] [[Literatura podstawowa]] \ No newline at end of file diff --git a/uczelnia/1_semestr/programowanie/Programowanie.md b/uczelnia/1_semestr/programowanie/Programowanie.md index 3cce6c7..475e6f1 100644 --- a/uczelnia/1_semestr/programowanie/Programowanie.md +++ b/uczelnia/1_semestr/programowanie/Programowanie.md @@ -1 +1 @@ -[[1 wykład]] \ No newline at end of file +[[uczelnia/1_semestr/programowanie/1 wykład/1 wykład]] \ No newline at end of file