vault backup: 2025-03-27 09:46:27
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.obsidian/plugins/obsidian-git/data.json
vendored
27
.obsidian/plugins/obsidian-git/data.json
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@ -1,27 +0,0 @@
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{
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"commitMessage": "vault backup: {{date}}",
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"autoCommitMessage": "vault backup: {{date}}",
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"commitDateFormat": "YYYY-MM-DD HH:mm:ss",
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"autoSaveInterval": 5,
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"autoPushInterval": 0,
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"autoPullInterval": 5,
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"autoPullOnBoot": true,
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"disablePush": false,
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"pullBeforePush": true,
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"disablePopups": false,
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"listChangedFilesInMessageBody": false,
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"showStatusBar": true,
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"updateSubmodules": false,
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"syncMethod": "merge",
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"customMessageOnAutoBackup": false,
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"autoBackupAfterFileChange": false,
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"treeStructure": false,
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"refreshSourceControl": true,
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"basePath": "",
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"differentIntervalCommitAndPush": false,
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"changedFilesInStatusBar": false,
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"showedMobileNotice": true,
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"refreshSourceControlTimer": 7000,
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"showBranchStatusBar": true,
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"setLastSaveToLastCommit": false
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}
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@ -86,3 +86,9 @@ Average = $\dfrac{1}{b-a} \int_a^b f(x)dx$
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# The Fundamental Theorem of Calculus
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Let $f$ be a continuous function on the closed interval $[a, b]$ and let $F$ be any antiderivative of $f$, then:
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$$\int_a^b f(x) dx = F(b) - F(a)$$
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## Proof
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## Mean Value Theorem
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Between the interval $[a, b]$, the average rate of change of a function **must be equal** to at least one point between $[a, b]$:
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$$ f'(c) = \dfrac{f(b) - f(a)}{x-a} $$
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For some $c$ between $a$ and $b$.
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