vault backup: 2024-10-01 11:40:35

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Daniel Bulant 2024-10-01 11:40:35 +02:00
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commit 472f8662a2
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12 changed files with 544 additions and 24 deletions

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@ -12,8 +12,8 @@
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12
notes/cjl/Básně.md Normal file
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@ -0,0 +1,12 @@
# Básně
Podstatné jméno, přídavné jméno, sloveso
pitomý člověk jezdí
modrá konzole spí
modrá voda vytváří
ujeté hodiny kopou
hučí starý papír

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@ -7,6 +7,7 @@ type: folder_brief_live
imagePrefix: 'data/'
```
%% Zoottelkeeper: Beginning of the autogenerated index file list %%
- [[cjl/Básně|Básně]]
- [[cjl/hodiny|hodiny]]
- [[cjl/impresionismus atd|impresionismus atd]]
- [[cjl/jazyky/jazyky|jazyky]]

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@ -0,0 +1,331 @@
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sin n pi ^LuehYMRv
1 pi = 3pi = 5pi ^4ML407yx
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0 ^Y8Pq3auh
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@ -1,6 +1,11 @@
# Hospodarsky proces
zisk = příjmy - výdaje
Ze zisku jsou daně
Výdaje jsou mzdy, energie atd
Patří do nich ale i část dlouhodobého hmotného investičního majetku
## Kolobeh
@ -8,6 +13,42 @@
pro cizy spotrebu
Majetek
- materiál
- oběžný majetek
- může být též zboží
- prostředek jednorázové spotřeby
- materiál je např. dřevený trám, surovina je strom/dřevo
- může být výrobek jiné firmy
- polotovar
- součástky, hotové produkty které se kompletují
- Dlouhodobý hmotný investiční majetek
- Doba >1rok
- pořizovací cena >80k kč
- třeba auto, část z nich se počítá do výdajů, proto jsou podmínky a je to rozdělený
- Drobný hmotný investiční majetek
- Doba <1rok, **nebo**
- pořizovací cena <80k
- Nehmotný investiční majetek
- cena neurčena
- doba >1rok
- software, licence, patenty, receptury, značka, autorská práva, etc
- Finanční investiční majetek
- cena neurčena
- doba >1rok
- spořící účet, dluhopisy, cenné papíry, akcie, podílové listy, sbírkové předměty, drahé kovy, etc
- Umělecká galerie co pak prodá obrazy je nemá v FIM ale jako zboží/oběžný majetek
Členění dlouhodobého majetku je navázáno na daňové zákony, zejména evidence daní z příjmu.
Do nedokončené výroby jsme dali investici a proto se eviduje.
- zboží
- pohledávka
- dodavatel za odběratelem
- zboží bylo dodáno ale nebylo zaplaceno
- nebo naopak odběratel za dodavatelem, pří záloze ale nebyla dodána
### Rozdeleni
distribuce
### Smeny

7
notes/eko/Majetek.md Normal file
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@ -0,0 +1,7 @@
# Majetek
Účetnictví, jestliže je v pronájmu nebo ho vlastní firma
- oběžný majetek
- materiál
- on se přetvoří v produkt
- prostředek jednorázové spotřeby

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@ -1,6 +1,7 @@
# eko
%% Zoottelkeeper: Beginning of the autogenerated index file list %%
- [[eko/Hospodarsky proces|Hospodarsky proces]]
- [[eko/Majetek|Majetek]]
- [[eko/Marek|Marek]]
- [[eko/Podnikání|Podnikání]]
- [[eko/Pracovní proces|Pracovní proces]]

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@ -1,6 +1,15 @@
# Posloupnost
Posloupnost je funkce $f$ s $Df=\mathbb{N}$
Je omezená tehdy když je omezená shora i zdola
Je omezená zdola $\Leftrightarrow\exists d\in\mathbb{R}:a_n\ge d\forall n\in\mathbb{N}$
Je omezená shora $\Leftrightarrow \exists h \in\mathbb{R}:a_n\le h\forall n\in\mathbb{N}$
Klesající posloupnost je omezená shora jelikož je v $\mathbb{N} \Rightarrow$ začíná na 0 (pro $a_n=n$) a jen klesá
## Zadání
- vzorcem pro n-tý člen
$a_n=2n+3$
@ -143,6 +152,106 @@ $a_3=-3$
Není monotóní - sporem jsme dokázali neplatnost podmínek pro monotónost
---
Je monotónní posloupnost?
$\{\sin n\pi\}_1^\infty$
Je konstantní
$\sin n\pi=0\forall n\in\mathbb{N}$
![[Posloupnost 2024-09-26 13.01.57.excalidraw]]
Je omezená
---
$\{\frac{2n+3}{3n+1}\}_1^\infty$
$\frac{2n+3}{3n+1}-\frac{2(n+1)+3}{3(n+1)+1}\lessgtr0$
$\frac{2n+3}{3n+1}-\frac{2n+2+3}{3n+3+1}\lessgtr0$
$\frac{2n+3}{3n+1}-\frac{2n+5}{3n+4}\lessgtr0$
$\frac{(2n+3)(3n+4)}{(3n+1)(3n+4)}-\frac{(2n+5)(3n+1)}{(3n+4)(3n+1)}\lessgtr0$
$\frac{6n^2+9n+8n+12}{9n^2+3n+12n}-\frac{6n^2+15n+2n+5}{9n^2+3n+12n}\lessgtr0$
$\frac{7}{9n^2+15n}\lessgtr0$
dole je kladné $\frac++$
$7>0$
je klesající $a_n>a_{n+1}$
je omezená shora
je omezená zdola, bude vždy kladné $2n+3>0;3n+1>0\Rightarrow + a +$
---
$a_n=\frac{3n}5-a_{n+1}+2a_{n+2};a_2=3;a_4=7$
$a_2=\frac{3*2}5-a_3+2a_4$
$3=\frac65-a_3+2*7$
$a_3=\frac65+14-3$
$a_3=\frac65+11$
$a_3=\frac15+12$
$a_1=\frac{3n}5-a_2+2*a_3$
$a_1=\frac{3n}5-3+2*(\frac15+12)$
$a_1=\frac35-3+\frac25+24$
$a_1=22$
$a_3=\frac{3n}5-a_4+2a_5$
$\frac15+12=\frac95-7+2a_5$
$2a_5=\frac15+12-\frac95+7$
$2a_5=19-\frac85$
$2a_5=18-\frac35$
$a_5=9-\frac3{10}$
$a_5=8+\frac7{10}$
$a_{n+2}=a_n-n+4;a_3=1;a_2=2$
$a_3=a_1-1+4$
$1=a_1-1+4$
$a_1=-2$
$a_4=a_2-2+4$
$a_4=2-2+4$
$a_4=4$
$a_5=a_3-3+4$
$a_5=1-3+4$
$a_5=2$
---
Přepis na rekurentní
$\{\frac{2n-1}3\}^\infty_1$
$a_n-a_{n+1}=\frac{2n-1}3-\frac{2(n+1)-1}3$
$a_n-a_{n+1}=\frac{2n-1}3-\frac{2n+1}3$
$a_n-a_{n+1}=\frac{2n-1-2n-1}3=-\frac{2}3$
$a_{n+1}=a_n+\frac23$
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Je omezená?
$\{2^n\}^\infty_1$
je roustoucí
=> je omezená zdola
$2^{n+1}-2^n=2*2^n-2^n=2^n>0$
## Funkce
### Vlastnosti
#### Monotónost