From c25756a43ee8c461829857cb866a5dd832631c09 Mon Sep 17 00:00:00 2001 From: Daniel Bulant Date: Tue, 13 Sep 2022 13:31:06 +0200 Subject: [PATCH] vault backup: 2022-09-13 13:31:06 --- notes/.obsidian/core-plugins.json | 2 + .../obsidian-activity-history/data.json | 4 +- notes/data/Pasted image 20220913130540.png | Bin 0 -> 51907 bytes notes/data/Pasted image 20220913131301.png | Bin 0 -> 29562 bytes notes/data/Pasted image 20220913131815.png | Bin 0 -> 32372 bytes notes/data/Pasted image 20220913132303.png | Bin 0 -> 18906 bytes notes/mat/Funkce/Funkce.md | 2 + notes/mat/Funkce/Mocninné funkce.md | 65 ++++++++++++++++++ notes/mat/Funkce/Prostá funkce.md | 10 +++ notes/mat/Funkce/Příklady.md | 1 + 10 files changed, 82 insertions(+), 2 deletions(-) create mode 100644 notes/data/Pasted image 20220913130540.png create mode 100644 notes/data/Pasted image 20220913131301.png create mode 100644 notes/data/Pasted image 20220913131815.png create mode 100644 notes/data/Pasted image 20220913132303.png create mode 100644 notes/mat/Funkce/Mocninné funkce.md create mode 100644 notes/mat/Funkce/Prostá funkce.md diff --git a/notes/.obsidian/core-plugins.json b/notes/.obsidian/core-plugins.json index e047509..f3000d3 100644 --- a/notes/.obsidian/core-plugins.json +++ b/notes/.obsidian/core-plugins.json @@ -10,6 +10,8 @@ "note-composer", "command-palette", "markdown-importer", + "outline", "word-count", + "slides", "file-recovery" ] \ No newline at end of file diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json index c4691b9..8184ad7 100644 --- a/notes/.obsidian/plugins/obsidian-activity-history/data.json +++ b/notes/.obsidian/plugins/obsidian-activity-history/data.json @@ -13,7 +13,7 @@ { "path": "/", "date": "2022-09-13", - "size": 896534 + "size": 897995 } ], "activityHistory": [ @@ -786,7 +786,7 @@ }, { "date": "2022-09-13", - "value": 7 + "value": 1468 } ] } diff --git 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zg_QrjZQb47y8Jk?-3u}7$GJU`NJPYH@#Bq%(Gw$LSJ8GD zIp%W3KJmm8>wcUt5Yd91uO7cfE5^c)6Y;25TDI~6*;z?XzE+HFZ*LddrcqYd^`-^n z3(-V50`7lb?*lTP-#prPsGgGD@#)mt>S)+b+o{y|!JFQF={Hl2Lk1YhsfR zm6XHe12lGrY4<1gP@p4-Uz{dBn4pV4yFjtY?Trf1!bZM&j=5a1Z1SNVHu+Ewn|xFm znMCG_wVc?iUSsFkA%-a@ESx4Mz4;#Ne(CC0B4191VU%IvG&!r8Rk2@vZ8bYaW0ghl d3{$xf{eNNSoyz=zq#^(S002ovPDHLkV1izb<5B [!NOTE] +> Mocniné funkce s celým exponentem + +$y=x^n$; $n\in\mathbb{Z} - \{0\}$ + + +--- + +$n>0$ sudé + +![](Pasted%20image%2020220913130540.png) + +omezena zdola +má minimum (v bodě 0 s hodnotou 0), nemá maximum +je sudá +v $(-\infty; 0)$ je klesající, v $(0; \infty)$ je rostoucí +prostá není (některých/všech hodnot nabývá vícekrát, např 1 a -1 má stejnou hodnotu, tudíž není prostá) +$D=\mathbb{R}$ +$H=\langle0;\infty)\in\mathbb{R}^+_o$ + +--- + +$n > 0$ liché +![](Pasted%20image%2020220913131301.png) + +není omezena +nemá minimum ani maximum +lichá +prostá +rostoucí v $\mathbb{R}$ +$D=\mathbb{R}$ +$H=\mathbb{R}$ + +--- + +$n < 0$ sudé +![](Pasted%20image%2020220913131815.png) +omezena zdola +nemá ani minimum ani maximum +sudá +není prostá +roustoucí v $(-\infty;0)$, klesající v $(0; \infty)$ +$D=\mathbb{R}-\{0\}$ +$H=(0;\infty)=\mathbb{R}^+$ + +--- + +$n<0$ liché +![](Pasted%20image%2020220913132303.png) +není omezena +nemá minimum ani maximum +lichá +je prostá +klesající v $(-\infty;0)$; $(0;\infty)$; +> [!NOTE] +> ^ nelze zjednodušit na $\mathbb{R}-\{0\}$, musí být rozděleně + +$D=\mathbb{R}-\{0\}$ +$H=\mathbb{R}$ + diff --git a/notes/mat/Funkce/Prostá funkce.md b/notes/mat/Funkce/Prostá funkce.md new file mode 100644 index 0000000..6fba31a --- /dev/null +++ b/notes/mat/Funkce/Prostá funkce.md @@ -0,0 +1,10 @@ +--- +tags: [mat, mat/funkce] +--- +# Prostá funkce +Když žádné hodnoty nenabývá vícekrát. + +Např pro $y=x^2$ +pro $x=1$ a $x=-1$ je stejná hodnota (1), tudíž není prostá. + +Sudé funkce nemohou být prosté. diff --git a/notes/mat/Funkce/Příklady.md b/notes/mat/Funkce/Příklady.md index 64fe21d..5de5262 100644 --- a/notes/mat/Funkce/Příklady.md +++ b/notes/mat/Funkce/Příklady.md @@ -1,5 +1,6 @@ --- Date: 2022-03-02 +tags: [mat, mat/funkce] --- # Příklady