diff options
author | Kai Stevenson <kai@kaistevenson.com> | 2023-08-02 12:50:16 -0700 |
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committer | Kai Stevenson <kai@kaistevenson.com> | 2023-08-02 12:50:16 -0700 |
commit | 28dedce6035153c1009d29fd77f5832ba43f5752 (patch) | |
tree | cebb358a7ca235131bb8cc552145c76526bf5130 | |
parent | 3dcc07703a9c73df4ba89770849787965c4aef31 (diff) |
more precise formal logic for calculus
-rw-r--r-- | src/writing/calculus.php | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/src/writing/calculus.php b/src/writing/calculus.php index ddfdd0c..270c9a0 100644 --- a/src/writing/calculus.php +++ b/src/writing/calculus.php @@ -110,6 +110,6 @@ function tex($latex) { self-evident--division by an infinitely small number will produce an infinitely large one.
The limit is formally defined as follows:
</p>
-<p class="centermath"><?php echo(tex("\$\\lim_{x\\to c}f(x)=L\\ \\textup{if}\\ \\forall\\epsilon\\in\\mathbb{R},\\ \\epsilon>0\\ \\exists\\delta\\in\\mathbb{R},\\newline|f(x)-L|<\\epsilon\\ \\textup{whenever}\\ 0 < |x-c| < \\delta\$")); ?></p>
+<p class="centermath"><?php echo(tex("\$\\lim_{x\\to c}f(x)=L\\leftrightarrow\\forall\\epsilon\\in\\mathbb{R} : \\epsilon>0\\ \\exists\\delta\\in\\mathbb{R} : \\newline|f(x)-L|<\\epsilon\\leftarrow 0 < |x-c| < \\delta\$")); ?></p>
</p>
<?php require($_SERVER["DOCUMENT_ROOT"] . "/footer.php"); ?>
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