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vault backup: 2023-01-12 11:40:10
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notes/data/Pasted image 20230112112804.png
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@ -18,6 +18,8 @@ imagePrefix: 'data/'
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- [[mat/Funkce/Logaritmus - Substituce|Logaritmus - Substituce]]
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- [[mat/Funkce/Logaritmus|Logaritmus]]
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- [[mat/Funkce/Mocninné funkce|Mocninné funkce]]
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- [[mat/Funkce/Orientovaný úhel|Orientovaný úhel]]
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- [[mat/Funkce/Převody stupňů na radiány|Převody stupňů na radiány]]
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- [[mat/Funkce/Příklady|Příklady]]
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- [[mat/Funkce/Prostá funkce|Prostá funkce]]
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- [[mat/Funkce/Rovnost funkcí|Rovnost funkcí]]
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@ -1,3 +1,7 @@
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---
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tags: [mat, mat/logaritmus]
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learn-date: 2023-01-01
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---
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# Logaritmus - Substituce
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$\log^2x=(\log x)(\log x)=(\log x)^2$
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@ -1,5 +1,6 @@
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---
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tags: [mat, mat/funkce]
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learn-date: 2023-01-01
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---
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# Logaritmus
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- inverzní funkce pro [Exponenciální funkce](Exponenciální%20funkce.md).
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24
notes/mat/Funkce/Orientovaný úhel.md
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notes/mat/Funkce/Orientovaný úhel.md
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@ -0,0 +1,24 @@
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---
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tags: [mat, mat/geometrie]
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learn-date: 2023-01-12
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---
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# Orientovaný úhel
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Úhel, u kterého rozlišujeme počáteční a koncové rameno.
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- umožňuje úhly $> 360\degree$
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- umožňuje úhly $< 0\degree$
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$\vec{VA}, \vec{VB}$
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počáteční, koncové rameno
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## Základní velikost $\alpha$ orientovaného úhlu
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$0\degree\le\alpha\le360\degree$
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$0\le\alpha\le2\pi$
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Např. $1100\degree \approx 20\degree$ (`\approx`)
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$-36\degree\approx324\degree$
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$\frac{11}2\pi\approx\frac32\pi$
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$-\frac{31}6\pi\approx-\frac76\pi\approx\frac56\pi$
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24
notes/mat/Funkce/Převody stupňů na radiány.md
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notes/mat/Funkce/Převody stupňů na radiány.md
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---
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tags: [mat, mat/geometrie]
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learn-date: 2023-01-12
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---
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# Převody stupňů na radiány
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$45\degree = \frac{\pi}4$
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$60\degree=\frac{\pi}3$
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$135\degree=\frac34\pi$
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$150\degree=\frac56\pi$
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$210\degree=\frac76\pi$
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$120\degree=\frac23\pi$
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$240\degree=\frac43\pi$
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$30\degree=\frac\pi6$
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$330\degree=\frac{11}6\pi$
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$\frac32\pi=270\degree$
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$\frac45\pi=144\degree$
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$\frac{14}9\pi=280\degree$
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$\frac43\pi=240\degree$
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$\frac7{10}\pi=126\degree$
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$\frac1{15}\pi=12\degree$
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$\frac{12}5\pi=432\degree$
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$1rad=\frac1{2\pi}*360=\frac1\pi*180=\frac{180}\pi\dot=57\degree17'45''$
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@ -8,4 +8,4 @@ tags:
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# Matematika
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```dataviewjs
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dv.table(["Téma", "Klíčová slova"], dv.pages('"mat"').filter(t => !t.tags?.includes("README") && !t.tableIgnored).map(t => ["[[" + t.file.name + "]]", t.file.etags.join(", ")]))
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```
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```
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