From 1a95efa6ea47480cd5e0b4ceffc4780344f75498 Mon Sep 17 00:00:00 2001 From: VectorKappa Date: Fri, 9 Dec 2022 12:58:54 +0100 Subject: [PATCH] vault backup: 2022-12-09 12:58:54 --- .obsidian/workspace.json | 12 ++++++------ Myśli nieuczesane.md | 9 +++++++++ Untitled.md | 7 ------- 3 files changed, 15 insertions(+), 13 deletions(-) create mode 100644 Myśli nieuczesane.md delete mode 100644 Untitled.md diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index bab9447..5aca56e 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -13,7 +13,7 @@ "state": { "type": "markdown", "state": { - "file": "AMiAL/Ćwiczenia/Zadania/ciagi_gr/Zadanie 1.md", + "file": "Myśli nieuczesane.md", "mode": "source", "source": false } @@ -85,7 +85,7 @@ "state": { "type": "backlink", "state": { - "file": "AMiAL/Ćwiczenia/Zadania/ciagi_gr/Zadanie 1.md", + "file": "Myśli nieuczesane.md", "collapseAll": false, "extraContext": false, "sortOrder": "alphabetical", @@ -102,7 +102,7 @@ "state": { "type": "outgoing-link", "state": { - "file": "AMiAL/Ćwiczenia/Zadania/ciagi_gr/Zadanie 1.md", + "file": "Myśli nieuczesane.md", "linksCollapsed": false, "unlinkedCollapsed": true } @@ -125,7 +125,7 @@ "state": { "type": "outline", "state": { - "file": "AMiAL/Ćwiczenia/Zadania/ciagi_gr/Zadanie 1.md" + "file": "Myśli nieuczesane.md" } } }, @@ -171,6 +171,7 @@ }, "active": "c8e570f8081d25d8", "lastOpenFiles": [ + "AMiAL/Ćwiczenia/Zadania/ciagi_gr/Zadanie 1.md", "AMiAL/!Materiały/ciagi_gr.pdf", "AMiAL/AMiAL.md", "AMiAL/!Materiały/funkcje.pdf", @@ -179,7 +180,6 @@ "AMiAL/Ćwiczenia/1 SEM/20221209121051.md", "AMiAL/Wykłady/Wykłady.md", "AMiAL/Ćwiczenia/1 SEM/20221202121227.md", - "AMiAL/Ćwiczenia/1 SEM/20221123123903.md", - "AMiAL/Ćwiczenia/1 SEM/20221118121118.md" + "AMiAL/Ćwiczenia/1 SEM/20221123123903.md" ] } \ No newline at end of file diff --git a/Myśli nieuczesane.md b/Myśli nieuczesane.md new file mode 100644 index 0000000..5e87262 --- /dev/null +++ b/Myśli nieuczesane.md @@ -0,0 +1,9 @@ +Co openAI ćpie: + +To determine whether a sequence is monotonic, we must first determine whether the sequence is increasing or decreasing. To do this, we take the first derivative of the sequence and determine whether it is always positive, always negative, or has both positive and negative values. + +For the given sequence $a_n=n^{2}-8n+15$, the first derivative is $a'_n=2n-8$. This expression is always negative for values of $n$ greater than 4, and always positive for values of $n$ less than 4. This means that the sequence is decreasing for values of $n$ greater than 4 and increasing for values of $n$ less than 4. + +Therefore, the sequence is not monotonic because it is both increasing and decreasing. We can express this in LaTeX as follows: + +$a_n=n^{2}-8n+15$ is not monotonic because its first derivative, $a'_n=2n-8$, has both positive and negative values. \ No newline at end of file diff --git a/Untitled.md b/Untitled.md deleted file mode 100644 index d6ebbe9..0000000 --- a/Untitled.md +++ /dev/null @@ -1,7 +0,0 @@ -$1 + 2 = x$ -$\frac{3x^2}{12x}$ -$$\begin{gathered} -\sum\limits_{x\rightarrow10}^{x}x+2x \\ -\frac{1}{2} = 1/2 = 1\div2 \\ -x \in -\end{gathered} $$