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https://github.com/danbulant/notes
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vault backup: 2024-09-20 11:40:11
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10 changed files with 163 additions and 20 deletions
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"pva/skripta.md",
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36
notes/cjl/Maturita.md
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36
notes/cjl/Maturita.md
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@ -0,0 +1,36 @@
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# Maturita
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## Autor
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- zeme
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- doba
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- temata
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- jine knihy
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- hlavni nebo vedlejsi predstavitel umeleckeho smeru a popis smeru
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- dalsi lide co take psali v podobnem duchu (tematicky, zanr nebo inspirativne)
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## Kniha
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- tema
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- o cem je
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- postavy
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- charakteristika
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- ukazka
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- zarazeni do deje, popis casti deje etc
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- pouzity jazyk (zastarale, archaicke slova etc)
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- kdyz se pouzije nespisovny text tak to zminit
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- citova zabarveni etc
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- tropy, figury etc
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## Neumelecky text
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- jestli souvisi umelecky a neumelecky text
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- souvislost s knihou
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- funkcni styl, sloh, etc
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- dukazy slovama
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- napr. pritomnost titulku, “zdroj”, citace, odborne terminy etc
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## Rozdeleni
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### Slohove postupy
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### Funkcni styly
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@ -12,6 +12,7 @@ imagePrefix: 'data/'
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- [[cjl/jazyky/jazyky|jazyky]]
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- [[cjl/jména|jména]]
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- [[cjl/literatura/literatura|literatura]]
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- [[Maturita|Maturita]]
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- [[cjl/Pedagog a didaktik|Pedagog a didaktik]]
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- [[cjl/Povinné knihy|Povinné knihy]]
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- [[cjl/Slohové práce/Slohové práce|Slohové práce]]
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79
notes/mat/Posloupnost.md
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79
notes/mat/Posloupnost.md
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@ -0,0 +1,79 @@
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# Posloupnost
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Posloupnost je funkce $f$ s $Df=\mathbb{N}$
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## Zadání
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- vzorcem pro n-tý člen
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$a_n=2n+3$
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1. člen: $a_1=5$
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10. člen: $a_{10}=23$
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$b\{3n-2\}_{n=1}^{\infty}$
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3. člen: $b_3=7$
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nekonečná posloupnost
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$(c_n)_1^4=(2^n)_1^4$
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$d_n:(2^n)_1^4$
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konečná posloupnost
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- výčtem prvků
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$a: 1,3,9,27…$
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$a_n=3^{n-1}$
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$a_n=(3^n)^{\infty}_0$
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$54;-18;6;-2;\frac23;-\frac29\rightarrow\{\frac{54}{(-3)^{n-1}}\}^6_1$
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$-1;8;-27;64;-125;216\rightarrow\{(-1)^nn^3\}_1^\infty$
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- rekurentním vzorcem
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Dává vztah mezi členy posloupnosti
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$a_{n+1}=3a_n-2;a_4=5$
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Musí být určen alespoň jeden prvek
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$a_5=13$
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$a_3=7/3$
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$a_2=\frac{13}9$
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$a_1=\frac{31}{27}$
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$a_{n+1}=3a_n-2n+2a_{n-1};a_5=1;a_7=2$
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$2=3a_6-2*6+2*1$
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$2=3a_6-12+2=3a_6-10$
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$12=3a_6$
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$a_6=12/3=4$
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$a_8=3a_7-2*7+2a_6$
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$a_8=3*2-14+2*4$
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$a_8=6-14+8=0$
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$a_6=3a_5-2*5+2a_4$
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$4=3-10+2a_4$
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$4=-7+2a_4$
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$11=2a_4$
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$a_4=11/2$
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$a_5=3a_4-2*4+2a_3$
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$1=3*11/2-8+2a_3$
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$1-33/2+8=2a_3$
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$9-16.5=2a_3$
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$-15/2=2a_3$
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$a_3=-15/4$
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## Funkce
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### Vlastnosti
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#### Monotónost
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- Rostoucí
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- Nerostoucí
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- Klesající
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- Neklesající
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#### Prostota
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- Prostá - neopakují se hodnoty, dá se sestavit inverzní funkce
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#### Parita
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- sudá - souměrná podle osy Y; $f(x)=f(-x)$
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- lichá - středově souměrné; $f(x)=-f(-x)$
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#### Omezenost
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- omezená shora i zdola
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- [[mat/Mocniny|Mocniny]]
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- [[mat/Násobek a dělitel|Násobek a dělitel]]
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- [[mat/Nerovnice|Nerovnice]]
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- [[mat/Posloupnost|Posloupnost]]
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- [[mat/Příklady 1|Příklady 1]]
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- [[mat/Příklady 2|Příklady 2]]
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- [[mat/README|README]]
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# pva
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%% Zoottelkeeper: Beginning of the autogenerated index file list %%
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- [[pva/skripta|skripta]]
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- [[pva/vasek|vasek]]
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# vasek
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## Vysvětlení základních pojmů
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DOM (Document Object Model) je reprezentace HTML a na stránce funguje jakožto taková "API" jak přistupovat k
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