Difference between revisions of "Main Page"

Revision as of 13:59, 31 December 2018

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Here is a Wiki for primes and related topics, still under construction.

Examples in math (LaTeX) notation

<math>N \supset \mathbb P = \{ p_n \mid n \in N \}</math>

N \supset P = {p_{n} ∣ n \in N}

<math>\sideset{_1^2}{_3^4}\prod_a^b</math>

{}_{1}^{2}\prod_{3}^{4}_{a}^{b}

<math>\iiiint\limits_{F} \, dx\,dy\,dz\,dt</math>

\underset{F}{⨌} d x d y d z d t

<math>f(n) =
\begin{cases}
  n/2, & \mbox{if }n\mbox{ is even} \\
  3n+1, & \mbox{if }n\mbox{ is odd}
\end{cases}</math>

f (n) = {\begin{cases} n / 2, & if n is even \\ 3 n + 1, & if n is odd \end{cases}

<math>\sum_{i=1}^\infty \frac{1}{p_i} = \frac{1}{2} + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{11} + \dotsb = \infty</math>

\sum_{i = 1}^{\infty} \frac{1}{p_{i}} = \frac{1}{2} + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{11} + \dots = \infty

<math>\pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498</math>

π (1) = 0; π (10) = 4; π (100) = 25; π (1000) = 168; π (1000000) = 78498

Example of page categorizations

Example of prime sequence and reservation

Configuration tests: external links open in new browser tab/window

Examples of template usage and data table generating

Examples for including PDF documents

Example for fetching data from RieselPrime database

The data are collected from the internal SQL database by Extension:External Data:

table: RieselPrime
field: rieselk_id = 4 (-> "1" = Mersenne primes)
fields collected: n, comment, utm (prime index n, comment like "Woodall", utm: id of Top5000 page)

Functioning but still complicated: no parser/string functions allowed in "#for_external_table" statement, therefore using variables.

Mersenne primes $2^{n} - 1$ , prime for n:

Examples for showing images of external pages

Example for SVG support

Test file, original size 580x400 pixel:

Test file,size 80 pixel in width:

Clicking on the image will lead to the saved file.

@@ Line 56: / Line 56: @@
 }}
-{{Box|hide=false|title=Example for fetching data from RieselPrime database|content=
+{{Box|hide=true|title=Example for fetching data from RieselPrime database|content=
 The data are collected from the internal SQL database by [https://www.mediawiki.org/wiki/Extension:External_Data Extension:External Data]:
 * table: RieselPrime
@@ Line 82: / Line 82: @@
 }}
-{{Box|hide=false|title=Examples for showing images of external pages|content=
+{{Box|hide=true|title=Examples for showing images of external pages|content=
 Images from external sources have to be put as full link on a page.
 ==Images from Commons Wikimedia==
@@ Line 104: / Line 104: @@
 {{!}} [https://commons.wikimedia.org/wiki/File:Marin_mersenne.jpg Image from Wikpedia]
 {{!}}}
+}}
+{{Box|hide=false|title=Example for SVG support|content=
+Test file, original size 580x400 pixel:
+[[File:Test.svg]]
+Test file,size 80 pixel in width:
+[[File:Test.svg|80px]]
+Clicking on the image will lead to the saved file.
 }}