commit 63f56721d4c420307112f253de473455bcd0c627
parent 38f37d099fde303f603e8461549986504e747999
Author: Sebastiano Tronto <sebastiano@tronto.net>
Date: Thu, 27 Feb 2025 15:42:02 +0100
Make capitalization consistent in ECM talk
Diffstat:
1 file changed, 5 insertions(+), 5 deletions(-)
diff --git a/src/talks/ecm/index.html.raw b/src/talks/ecm/index.html.raw
@@ -1,7 +1,7 @@
<!doctype html>
<html lang="en">
<head>
- <title>Elliptic Curves and the ECM algorithm</title>
+ <title>Elliptic Curves and the ECM Algorithm</title>
<meta name="viewport" content="width=device-width" />
<!-- Import MathJax script -->
@@ -438,7 +438,7 @@ def find_factor(n: int) -> int:
<div>
<p><strong>To find a factor of \(n\):</strong><p>
<ol>
-<li>Take a random Elliptic Curve \(E\)
+<li>Take a random elliptic curve \(E\)
and a random point \(P\) of \(E\)</li>
<li>Take a <em>suitable number \(m\)</em></li>
<li>Try to compute \(m\cdot P = P+P+\cdots+P\quad\) (\(m\) times)
@@ -484,7 +484,7 @@ background-blend-mode: overlay;">
Q: Aren't we just computing the \(\operatorname{GCD}\) with random numbers?
</strong></p>
<p>
-A: Yes, but Elliptic Curve operations produce "good candidates"
+A: Yes, but elliptic curve operations produce "good candidates"
for these random numbers.
</p>
</div>
@@ -504,7 +504,7 @@ Pollard's \(p-1\) Algorithm</a>, but ECM is faster.</p>
<h1>Elliptic Curve Method - Questions</h1>
<div class="centertext">
<p><strong>
-Q: Are there objects that are more complicated than Elliptic Curves
+Q: Are there objects that are more complicated than elliptic curves
and can make the method even faster?
</strong></p>
<p>A: Yes, there are higher-dimensional
@@ -594,7 +594,7 @@ background-blend-mode: overlay;">
// Function to add a footer to every slide.
function slideFooter() {
const start = "<div class=\"footer\"><table class=\"footer-table\"><tr>";
- const title = "Elliptic Curves and the ECM algorithm"
+ const title = "Elliptic Curves and the ECM Algorithm"
const link = "<a href=https://tronto.net/talks/ecm>tronto.net/talks/ecm</a>";
const end = "</tr></table></div>";
const content =
