From 8d11c6c8213f46f0fa19826917c255edd5d43cb1 Mon Sep 17 00:00:00 2001
From: mzuenni <mzuenni@users.noreply.github.com>
Date: Sun, 28 Jul 2024 22:54:40 +0200
Subject: Test (#4)

* update

* moved content in subdir

* rename file

* add test setup

* add test setup

* add github action

* automaticly test all cpp files

* timeout after 10s

* setulimit and dont zero memory

* test build pdf

* install latexmk

* update

* update

* ngerman

* fonts

* removed old code

* add first test

* added tests

* test in sorted order

* more tests

* simplified test

* more tests

* fix suffix tree

* fixes and improvements

* done ust lst directly

* fix swap

* add links to pdf

* fix constants

* add primorial

* add comment

* various improvements

* more tests

* added missing stuf

* more tests

* fix tests

* more tests

* more tests

* more tests

* fix recursion?

* test trie

* more tests

* only use python temporarily for listings

* only use python temporarily for listings

* more tests

* fix longestCommonSubstring

* more tests

* more tests

* made code more similiar

* fix?

* more tests

* more tests

* more tests

* add ahoCorasick test + limit 4GB stack size

* more tests

* fix test

* add additional test

* more tests

* more tests

* fix?

* better fix

* fix virtual tree

* more tests

* more tests

* recursive closest pair

* more tests

* decrease limit

* new tests

* more tests

* fix name

* more tests

* add test

* new test

* more tests

* more tests

* more tests

* more tests

* new test and content

* new code

* new code

* larger tests

* fix and test

* new test

* new test

* update pdf

* remove comments

* new test

* more tests

* more testcases

* more tests

* increased limit

* more tests

* more tests

* more tests

* new tests

* more tests

* shortened code

* new test

* add basic tests for bigint

* more tests

* removed old files

* new test

* ignore some files

* more auto more ccw

* fix test

* more tests

* fix

* new tests

* more tests

* more tests

* stronger test

* actually verify delaunay...

* more tests

* fix header

* more tests

* run tests parallel?

* test parralel?

* add --missing

* separate workflows

* test

* is the pdf checked?

* separate workflows

* fix workflow

* more workflows

---------

Co-authored-by: Yidi <noob999noob999@gmail.com>
---
 content/math/tables/series.tex | 33 +++++++++++++++++++++++++++++++++
 1 file changed, 33 insertions(+)
 create mode 100644 content/math/tables/series.tex

(limited to 'content/math/tables/series.tex')

diff --git a/content/math/tables/series.tex b/content/math/tables/series.tex
new file mode 100644
index 0000000..3042781
--- /dev/null
+++ b/content/math/tables/series.tex
@@ -0,0 +1,33 @@
+\begin{tabularx}{\linewidth}{|XIXIXIX|}
+	\hline
+	\multicolumn{4}{|c|}{Reihen} \\
+	\hline
+	$\sum\limits_{i = 1}^n i = \frac{n(n+1)}{2}$ &
+	$\sum\limits_{i = 1}^n i^2 = \frac{n(n + 1)(2n + 1)}{6}$ &
+	$\sum\limits_{i = 1}^n i^3 = \frac{n^2 (n + 1)^2}{4}$ &
+	$H_n = \sum\limits_{i = 1}^n \frac{1}{i}$ \\
+	\grayhline
+	
+	$\sum\limits_{i = 0}^n c^i = \frac{c^{n + 1} - 1}{c - 1} \quad c \neq 1$ &	
+	$\sum\limits_{i = 0}^\infty c^i = \frac{1}{1 - c} \quad \vert c \vert < 1$ &
+	$\sum\limits_{i = 1}^\infty c^i = \frac{c}{1 - c} \quad \vert c \vert < 1$ &	
+	$\sum\limits_{i = 0}^\infty ic^i = \frac{c}{(1 - c)^2} \quad \vert c \vert < 1$ \\
+	\grayhline
+	
+	\multicolumn{2}{|lI}{
+		$\sum\limits_{i = 0}^n ic^i = \frac{nc^{n + 2} - (n + 1)c^{n + 1} + c}{(c - 1)^2} \quad c \neq 1$
+	} &	
+	\multicolumn{2}{l|}{
+		$\sum\limits_{i = 1}^n iH_i = \frac{n(n + 1)}{2}H_n - \frac{n(n - 1)}{4}$
+	} \\
+	\grayhline
+	
+	\multicolumn{2}{|lI}{
+		$\sum\limits_{i = 1}^n H_i = (n + 1)H_n - n$
+	} &
+	\multicolumn{2}{l|}{
+		$\sum\limits_{i = 1}^n \binom{i}{m}H_i =
+		\binom{n + 1}{m + 1} \left(H_{n + 1} - \frac{1}{m  + 1}\right)$
+	} \\
+	\hline
+\end{tabularx}
-- 
cgit v1.2.3

