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Merge branch 'main' of ssh://github.com/danbulant/notes

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Daniel Bulant 2021-11-19 16:48:36 +01:00
commit 653ed093a9
13 changed files with 1128 additions and 15 deletions
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22
notes/.obsidian/plugins/obsidian-activity-history/data.json vendored
View file

@ -13,7 +13,7 @@
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976
notes/data/Gravitace.excalidraw.md Normal file
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@ -0,0 +1,976 @@
---
excalidraw-plugin: parsed
---
==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠==
# Gravitace.excalidraw
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o ^8PwEHQCP
F ^5W9ax4co
v ^1sWbtTPg
F ^RBMacsHT
v ^nNKbW1an
G ^5tkbLJIb
g=9.81 ms^2 ^GXk0g1H5
%%
# Drawing
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```
# SVG snapshot
==⚠ Remove all linebreaks from SVG string before use. Linebreaks were added to improve markdown view speed. ⚠==
```html
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<defs>
<style>
@font-face {
font-family: "Virgil";
src: url("https://excalidraw.com/Virgil.woff2");
}
@font-face {
font-family: "Cascadia";
src: url("https://excalidraw.com/Cascadia.woff2");
}
</style>
</defs>
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<g transform="translate(26.619566142374453 33.54927915648287) rotate(0 8 12.5)"><text x="0" y="18" font-family="Virgil, Segoe UI Emoji" font-size="20px" fill="#000000" text-anchor="start" style="white-space: pre;" direction="ltr">G</text></g>
<g transform="translate(363.62951020665093 143.95402534832508) rotate(0 59.500000000000014 12.5)"><text x="0" y="18" font-family="Virgil, Segoe UI Emoji" font-size="20px" fill="#000000" text-anchor="start" style="white-space: pre;" direction="ltr">g=9.81 ms^2</text></g>
</svg>
```
%%

21
notes/data/data.md
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@ -1,5 +1,5 @@
---
tags:
tags: [MOC]
- generated
- index
---
@ -9,7 +9,8 @@ type: folder_brief_live
imagePrefix: 'data/'
```
%% Zoottelkeeper: Beginning of the autogenerated index file list %%
- [[akabus.png|Pasted image 20210915110856.png]]
- [[data/akabus.png|akabus.png]]
- [[data/Gravitace.excalidraw|Gravitace.excalidraw]]
- [[data/Pasted image 20210917093532.png|Pasted image 20210917093532.png]]
- [[data/Pasted image 20210920101314.png|Pasted image 20210920101314.png]]
- [[data/Pasted image 20211101144629.png|Pasted image 20211101144629.png]]
@ -32,5 +33,21 @@ imagePrefix: 'data/'
- [[data/Pasted image 20211101145410.png|Pasted image 20211101145410.png]]
- [[data/Pasted image 20211101145419.png|Pasted image 20211101145419.png]]
- [[data/Pasted image 20211101145432.png|Pasted image 20211101145432.png]]
- [[data/Pasted image 20211101211904.png|Pasted image 20211101211904.png]]
- [[data/Pasted image 20211101211946.png|Pasted image 20211101211946.png]]
- [[data/Pasted image 20211104184318.png|Pasted image 20211104184318.png]]
- [[data/Pasted image 20211104184619.png|Pasted image 20211104184619.png]]
- [[data/Pasted image 20211104184638.png|Pasted image 20211104184638.png]]
- [[data/Pasted image 20211104184700.png|Pasted image 20211104184700.png]]
- [[data/Pasted image 20211104184733.png|Pasted image 20211104184733.png]]
- [[data/Pasted image 20211104184740.png|Pasted image 20211104184740.png]]
- [[data/Pasted image 20211104184802.png|Pasted image 20211104184802.png]]
- [[data/Pasted image 20211104190858.png|Pasted image 20211104190858.png]]
- [[data/Pasted image 20211104192629.png|Pasted image 20211104192629.png]]
- [[data/Pasted image 20211104192915.png|Pasted image 20211104192915.png]]
- [[data/Pasted image 20211112103236.png|Pasted image 20211112103236.png]]
- [[data/Pasted image 20211112103252.png|Pasted image 20211112103252.png]]
- [[data/Pasted image 20211118190800.png|Pasted image 20211118190800.png]]
- [[data/Pasted image 20211118200145.png|Pasted image 20211118200145.png]]
- [[data/tcpudp.jpg|tcpudp.jpg]]
%% Zoottelkeeper: End of the autogenerated index file list %%

28
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# Příklady
## Redoxní
$$Br_2 + KOH \rightarrow KBr + KBrO_3 + H_2O$$
$$3Br_2^0 + 6KOH \rightarrow \textcolor{yellow}{5}KBr^{-I} + \textcolor{yellow}{1}KBr^{+V}O_3 + 3H_2O$$
Redukce $Br^0 + 1e^- \rightarrow Br^{-I}$ 1 ==5==
Oxidace $Br^0 - 5e^- \rightarrow Br^V$ 5 ==1==
---
$$FeSO_4 + K_2Cr_2O_7 + H_2SO_4 \rightarrow Fe_2(SO_4)_3 + Cr_2SO_4 + H_2O$$
$$6Fe^{II}SO_4 + 1K_2Cr_2^{II}O_7 + 7H_2SO_4 \rightarrow \textcolor{yellow}3Fe_2^{III}(SO_4)_3 + \textcolor{yellow}1Cr_2^{III}SO_4 + 7H_2O$$
Ox: $2Fe^{II} - 2e^- \rightarrow Fe_2^{III}$ 2 ==3==
Red: $Cr_2^{VI} + 6e^- \rightarrow Cr_2^{III}$ 6 ==1==
---
$$Cr_2O_r + KNO_3 + K_2CO_3 \rightarrow K_2CrO_4 + CO_2 + KNO_3$$
$$\textcolor{yellow}1Cr_2^{III}O_3 + \textcolor{yellow}3KN^{V}O_3 + 2K_2CO_3 \rightarrow 2K_2Cr^{VI}O_4 + 2CO_2 + 3KN^{III}O_3$$
Red: $N^V + 2e^- \rightarrow N^{III}$ 2 ==3==
Ox: $Cr^{III} - 6e^- \rightarrow Cr^{VI}$ 6 ==1==
---
$$HI + H_2SO_4 \rightarrow I_2 + S + H_2O$$
$$\textcolor{yellow}6HI^{-I} + 1H_2^{I}S^{VI}O_4^{-II} \rightarrow 3I_2^{0} + \textcolor{yellow}1S^0 + 4H_2O$$
Ox: $I^{-I} - 1e^- \rightarrow I^{0}$ 1 ==6==
Red: $S^{VI} + 6e^- \rightarrow S^0$ 6 ==1==

3
notes/ech/ech.md
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@ -1,5 +1,5 @@
---
tags:
tags: [MOC]
- ech
- generated
- index
@ -14,6 +14,7 @@ imagePrefix: 'data/'
- [[ech/Mendělejev|Mendělejev]]
- [[ech/Názvosloví|Názvosloví]]
- [[ech/obal atomu|obal atomu]]
- [[ech/Příklady|Příklady]]
- [[ech/prvky|prvky]]
- [[ech/radioaktivita|radioaktivita]]
- [[ech/Vazby|Vazby]]

2
notes/fyz/Pohyb.md
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@ -14,4 +14,4 @@ množina všech poloh kterými projde hmotný bod.
## Typy
- [Rovnoměrný pohyb](pohyb/Rovnoměrný%20pohyb.md)
- [Rovnoměrně zrychlený pohyb](pohyb/Rovnoměrně%20zrychlený%20pohyb.md)
- [Rovnoměrně zrychlený pohyb](pohyb/Rovnoměrně%20zrychlený%20či%20zpomalený%20pohyb.md)

24
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# Volný pád
Konstantní zrychlení $g$, nulová počáteční rychlost.
Pád zrychlený gravitací (např pustím pero) ve vakuu.
$$s=\frac{1}{2}gt^2$$
$$v=gt$$
Gravitační konstanta $g \space \dot{=} \space 10$
![[Gravitace.excalidraw]]
## Gravitační síla
Všechna tělesa se přitahují navzájem. Záleží na hmotnosti a vzdálenosti.
$$F_G = H \frac{m_1m_2}{r^2}$$
## Odstředivá síla
Síla od středu (při točení kolem jednoho bodu).
---
## Macocha
*Příklad*
$t = 5.25s$
$s = \frac{1}{2} g t^2$
$s = \frac{1}{2} * 10 * 5.25^2$
$s = \frac{1}{2} * 10 * 27.5625 = \frac{1}{2} * 275.625 = 137.812m$

1
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@ -2,4 +2,5 @@
%% Zoottelkeeper: Beginning of the autogenerated index file list %%
- [[fyz/pohyb/Rovnoměrně zrychlený či zpomalený pohyb|Rovnoměrně zrychlený či zpomalený pohyb]]
- [[fyz/pohyb/Rovnoměrný pohyb|Rovnoměrný pohyb]]
- [[fyz/pohyb/Volný pád|Volný pád]]
%% Zoottelkeeper: End of the autogenerated index file list %%

0
notes/mat/Kvantifikované výroky.md → notes/mat/Výroky/Kvantifikované výroky.md
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53
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# Příklady
## Když prší, jsou mokré chodníky.
A...prší
B...jsou mokré chodníky
formule $a \Rightarrow b$
negace: $\neg a \Rightarrow b$
Když neprší, jsou mokré chodníky.
## František pojede na hory, nebo k moři.
A...František pojede na hory
B...František pojede k moři
formule: $a \vee b$
negace: $\neg a \wedge \neg b$
## Nebude-li pršet, nezmoknem.
A...bude pršet
B...zmoknem
formule: $\neg a \Rightarrow \neg b$
negace: $a \wedge b$
Nebude pršet a zmokneme.
## Na víkend pojedeme do Jizerských hor a do Krkonoš.
A...Na víkend pojedeme do Jizerských hor
B...Na víkend pojedeme do Krkonoš
formule: $a \wedge b$
negace: $\neg a \vee \neg b$
Na víkend nepojedeme do Jizerských hor nebo do Krkonoš.
## Ve středu pršelo a foukal silný vítr.
A...Ve středu pršelo
B...Ve středu foukal silný vítr
formule: $a \wedge b$
negace: $\neg a \vee \neg b$
Ve středu nepršelo nebo nefoukal silný vítr.
## Kdy přijdeš?
není výrok
## Posadíme se do křesla, nebo na pohovku.
A...Posadíme se do křesla
B...Posadíme se na pohovku
formule: $a \vee b$
negace: $\neg a \wedge \neg b$
Neposadíme se do křesla a neposadíme se na pohovku.
## Posadíme se do křesla, nebo na pohovku?
není výrok
## Když bude sněžit a foukat silný vítr, nedostaneme se na horskou chatu.
A...Bude sněžit
B...Bude foukat silný vítr
C...Dostaneme se na horskou chatu
formule: $(a \wedge b) \Rightarrow \neg c$
---
Výrok: $\forall x \in \mathbb{R} :x \space mod \space 7 = 0$
Všechny reálná čísla jsou dělitelné 7.
Není pravda (1 mod 7 je 1).
Negace: $\forall x \in \mathbb{R} : x \space mod \space 7 \neq 0$
Všechny reálná čísla nejsou dělitelné 7.

2
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@ -5,7 +5,7 @@ tags:
# Výroková logika
**Výrok** je sdělení, u něhož má smysl otázka, zda je či není pravdivé.
Viz též [kvantifikované výroky](./Kvantifikované%20výroky.md).
Viz též [kvantifikované výroky](Kvantifikované%20výroky.md).
## Konjukce
- Konjukce libovolných výroků $a, b$ je výrok, který vznikne jejich spojením spojkou **a** (nebo **a zároveň**, někdy **i**), zapisujeme $a \wedge b$ a čteme **$a$ a zároveň $b$.**

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# Výroky
%% Zoottelkeeper: Beginning of the autogenerated index file list %%
- [[mat/Výroky/Kvantifikované výroky|Kvantifikované výroky]]
- [[mat/Výroky/Příklady|Příklady]]
- [[mat/Výroky/Výroková logika|Výroková logika]]
%% Zoottelkeeper: End of the autogenerated index file list %%

5
notes/mat/mat.md
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@ -1,5 +1,5 @@
---
tags:
tags: [MOC]
- mat
- generated
- index
@ -14,14 +14,13 @@ imagePrefix: 'data/'
- [[mat/Číselné soustavy|Číselné soustavy]]
- [[mat/Druhá odmocnina|Druhá odmocnina]]
- [[mat/Intervaly|Intervaly]]
- [[mat/Kvantifikované výroky|Kvantifikované výroky]]
- [[mat/Matematika|Matematika]]
- [[mat/Množiny|Množiny]]
- [[mat/Násobek a dělitel|Násobek a dělitel]]
- [[mat/Příklady|Příklady]]
- [[mat/Rovnice|Rovnice]]
- [[mat/Rozklad složených čísel na součin prvočísel|Rozklad složených čísel na součin prvočísel]]
- [[mat/Výroková logika|Výroková logika]]
- [[mat/Výroky/Výroky|Výroky]]
- [[mat/Zakrouhlení|Zakrouhlení]]
- [[mat/Zlomky|Zlomky]]
%% Zoottelkeeper: End of the autogenerated index file list %%