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[[File:Mersenne.csv|legend_title=Mersenne primes,x_type=no,x_title= ,x_unit=No.,y_type=no,y_title= ,y_unit=n value]] | [[File:Mersenne.csv|legend_title=Mersenne primes,x_type=no,x_title= ,x_unit=No.,y_type=no,y_title= ,y_unit=n value]] | ||
+ | }} | ||
+ | |||
+ | {{Box|hide=false|title=Examples for graphs extension|content= | ||
+ | Using template [[:Template:PieChart|PieChart]]: | ||
+ | {{PieChart|legend=Fruits|radius=125|values= [ | ||
+ | {"x": "Peaches","y": 100}, | ||
+ | {"x": "Plums","y": 32}, | ||
+ | {"x": "Blueberries","y": 80}, | ||
+ | {"x": "Strawberries","y": 46}, | ||
+ | {"x": "Bananas","y": 41} | ||
+ | ] | ||
+ | }} | ||
+ | {{PieChart|legend=Fruits|radius=125|rangeliteral= ["red", "green","red","green","red","green","red","green","red","green"] |values= [ | ||
+ | {"x": "perziken","y": 10}, | ||
+ | {"x": "pruimen","y": 10}, | ||
+ | {"x": "bessen","y": 10}, | ||
+ | {"x": "aardbeien","y": 10}, | ||
+ | {"x": "bananen","y": 10}, | ||
+ | {"x": "peach","y": 10}, | ||
+ | {"x": "plum","y": 10}, | ||
+ | {"x": "blueberries","y": 10}, | ||
+ | {"x": "strawberries","y": 10}, | ||
+ | {"x": "bananas","y": 10} | ||
+ | ] | ||
+ | }} | ||
+ | |||
+ | Using <nowiki><graph></nowiki>-tag directly: | ||
+ | <graph>{ | ||
+ | "version": 2, | ||
+ | "height": 160, | ||
+ | "width": 160, | ||
+ | "legends": [{"title": "Fruits","fill": "color"}], | ||
+ | "padding": "auto", | ||
+ | "data": [ | ||
+ | { | ||
+ | "name": "table", | ||
+ | "values": [ | ||
+ | {"x": "peach","y": 100,"z": 2}, | ||
+ | {"x": "plums","y": 32,"z": 4}, | ||
+ | {"x": "bluebe","y": 180,"z": 3}, | ||
+ | {"x": "strawb","y": 46,"z": 7}, | ||
+ | {"x": "banan","y": 21,"z": 5} | ||
+ | ] | ||
+ | } | ||
+ | ], | ||
+ | "scales": [ | ||
+ | { | ||
+ | "name": "color", | ||
+ | "range": "category20", | ||
+ | "domain": {"data": "table","field": "x"}, | ||
+ | "type": "ordinal" | ||
+ | } | ||
+ | ], | ||
+ | "marks": [ | ||
+ | { | ||
+ | "type": "arc", | ||
+ | "from": { | ||
+ | "data": "table", | ||
+ | "transform": [{"field": "y","type": "pie"}] | ||
+ | }, | ||
+ | "properties": { | ||
+ | "enter": { | ||
+ | "innerRadius": {"value": 100}, | ||
+ | "stroke": {"value": "white"}, | ||
+ | "startAngle": {"field": "layout_start"}, | ||
+ | "outerRadius": {"value": 150}, | ||
+ | "endAngle": {"field": "layout_end"}, | ||
+ | "fill": {"field": "x","scale": "color"} | ||
+ | } | ||
+ | } | ||
+ | }, | ||
+ | { | ||
+ | "type": "arc", | ||
+ | "from": { | ||
+ | "data": "table", | ||
+ | "transform": [{"field": "z","type": "pie"}] | ||
+ | }, | ||
+ | "properties": { | ||
+ | "enter": { | ||
+ | "innerRadius": {"value": 40}, | ||
+ | "stroke": {"value": "white"}, | ||
+ | "startAngle": {"field": "layout_start"}, | ||
+ | "outerRadius": {"value": 90}, | ||
+ | "endAngle": {"field": "layout_end"}, | ||
+ | "fill": {"field": "x","scale": "color"} | ||
+ | } | ||
+ | } | ||
+ | } | ||
+ | ] | ||
+ | }</graph> | ||
+ | |||
+ | <graph>{ | ||
+ | "version": 2, | ||
+ | "width": 150, | ||
+ | "height": 150, | ||
+ | "legends": [{"title": "Fruits","fill": "color"}], | ||
+ | "data": [ | ||
+ | { | ||
+ | "name": "table", | ||
+ | "values": [ | ||
+ | {"year": "2010","category": "Berries","value": 10}, | ||
+ | {"year": "2010","category": "Plums","value": 12}, | ||
+ | {"year": "2010","category": "Oranges","value": 3}, | ||
+ | {"year": "2010","category": "Apples","value": 7}, | ||
+ | {"year": "2015","category": "Berries","value": 8}, | ||
+ | {"year": "2015","category": "Plums","value": 4}, | ||
+ | {"year": "2015","category": "Oranges","value": 5}, | ||
+ | {"year": "2015","category": "Apples","value": 9} | ||
+ | ] | ||
+ | } | ||
+ | ], | ||
+ | "scales": [ | ||
+ | { | ||
+ | "name": "radius", | ||
+ | "type": "ordinal", | ||
+ | "domain": {"data": "table","field": "year"}, | ||
+ | "range": "height" | ||
+ | }, | ||
+ | { | ||
+ | "name": "color", | ||
+ | "range": "category20", | ||
+ | "domain": {"data": "table","field": "category"}, | ||
+ | "type": "ordinal" | ||
+ | } | ||
+ | ], | ||
+ | "marks": [ | ||
+ | { | ||
+ | "type": "group", | ||
+ | "from": { | ||
+ | "data": "table", | ||
+ | "transform": [{"type": "facet","groupby": ["year"]}] | ||
+ | }, | ||
+ | "marks": [ | ||
+ | { | ||
+ | "name": "stacked pie", | ||
+ | "type": "arc", | ||
+ | "from": {"transform": [{"field": "value","type": "pie"}]}, | ||
+ | "properties": { | ||
+ | "enter": { | ||
+ | "innerRadius": { | ||
+ | "scale": "radius", | ||
+ | "field": "year", | ||
+ | "offset": 25 | ||
+ | }, | ||
+ | "stroke": {"value": "white"}, | ||
+ | "startAngle": {"field": "layout_start"}, | ||
+ | "outerRadius": { | ||
+ | "scale": "radius", | ||
+ | "field": "year", | ||
+ | "offset": 75 | ||
+ | }, | ||
+ | "endAngle": {"field": "layout_end"}, | ||
+ | "fill": {"field": "category","scale": "color"} | ||
+ | } | ||
+ | } | ||
+ | }, | ||
+ | { | ||
+ | "type": "text", | ||
+ | "properties": { | ||
+ | "enter": { | ||
+ | "radius": { | ||
+ | "scale": "radius", | ||
+ | "field": "year", | ||
+ | "offset": 30 | ||
+ | }, | ||
+ | "theta": {"value":1.2}, | ||
+ | "x": 100, | ||
+ | "y": 100, | ||
+ | "text": {"field": "year"}, | ||
+ | "fill": {"value": "#eec"}, | ||
+ | "fontSize": {"value": 18} | ||
+ | } | ||
+ | } | ||
+ | } | ||
+ | ] | ||
+ | } | ||
+ | ] | ||
+ | }</graph> | ||
+ | |||
+ | <graph> | ||
+ | { | ||
+ | "version": 2, "width": 400, "height": 200, | ||
+ | "padding": {"top": 10, "left": 30, "bottom": 30, "right": 10}, | ||
+ | "data": [ | ||
+ | { | ||
+ | "name": "table", | ||
+ | "values": [ | ||
+ | {"x": 1, "y": 28}, {"x": 2, "y": 55}, | ||
+ | {"x": 3, "y": 43}, {"x": 4, "y": 91}, | ||
+ | {"x": 5, "y": 81}, {"x": 6, "y": 53}, | ||
+ | {"x": 7, "y": 19}, {"x": 8, "y": 87}, | ||
+ | {"x": 9, "y": 52}, {"x": 10, "y": 48}, | ||
+ | {"x": 11, "y": 24}, {"x": 12, "y": 49}, | ||
+ | {"x": 13, "y": 87}, {"x": 14, "y": 66}, | ||
+ | {"x": 15, "y": 17}, {"x": 16, "y": 27}, | ||
+ | {"x": 17, "y": 68}, {"x": 18, "y": 16}, | ||
+ | {"x": 19, "y": 49}, {"x": 20, "y": 15} | ||
+ | ] | ||
+ | } | ||
+ | ], | ||
+ | "scales": [ | ||
+ | { | ||
+ | "name": "x", | ||
+ | "type": "ordinal", | ||
+ | "range": "width", | ||
+ | "domain": {"data": "table", "field": "x"} | ||
+ | }, | ||
+ | { | ||
+ | "name": "y", | ||
+ | "range": "height", | ||
+ | "nice": true, | ||
+ | "domain": {"data": "table", "field": "y"} | ||
+ | } | ||
+ | ], | ||
+ | "axes": [ | ||
+ | {"type": "x", "scale": "x"}, | ||
+ | {"type": "y", "scale": "y"} | ||
+ | ], | ||
+ | "marks": [ | ||
+ | { | ||
+ | "type": "rect", | ||
+ | "from": {"data": "table"}, | ||
+ | "properties": { | ||
+ | "enter": { | ||
+ | "x": {"scale": "x", "field": "x"}, | ||
+ | "width": {"scale": "x", "band": true, "offset": -1}, | ||
+ | "y": {"scale": "y", "field": "y"}, | ||
+ | "y2": {"scale": "y", "value": 0} | ||
+ | }, | ||
+ | "update": { | ||
+ | "fill": {"value": "steelblue"} | ||
+ | }, | ||
+ | "hover": { | ||
+ | "fill": {"value": "red"} | ||
+ | } | ||
+ | } | ||
+ | } | ||
+ | ] | ||
+ | }</graph> | ||
+ | |||
+ | |||
+ | Some other demo graphs are shown [https://www.mediawiki.org/wiki/Extension:Graph/Demo here]. | ||
}} | }} |
Revision as of 20:33, 2 January 2019
Language: | English • Deutsch |
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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>
- [math]\displaystyle{ N \supset \mathbb P = \{ p_n \mid n \in N \} }[/math]
<math>\sideset{_1^2}{_3^4}\prod_a^b</math>
- [math]\displaystyle{ \sideset{_1^2}{_3^4}\prod_a^b }[/math]
<math>\iiiint\limits_{F} \, dx\,dy\,dz\,dt</math>
- [math]\displaystyle{ \iiiint\limits_{F} \, dx\,dy\,dz\,dt }[/math]
<math>f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases}</math>
- [math]\displaystyle{ f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases} }[/math]
<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>
- [math]\displaystyle{ \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]
<math>\pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498</math>
- [math]\displaystyle{ \pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498 }[/math]
Example of page categorizations
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Example of prime sequence and reservation
Configuration tests: external links open in new browser tab/window
Examples of template usage and data table generating
The category for Carol/Kynea primes holds 3 example pages for some bases (2, 6 and 10).
These pages hold their data in the template CarolKyneaBase using named parameters.
The parameters can be used to create automatically a table of those pages.Examples for including PDF documents
- Show document starting at page 3 and different sizings:
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 [math]\displaystyle{ 2^n-1 }[/math], prime for n:
- 2*, 3, 5*, 7*, 13, 17, 19*, 31, 61, 89, 107, 127, 521, 607, 1279, 2203, 2281, 3217, 4253, 4423, 9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049, 216091, 756839, 859433, 1257787, 1398269, 2976221, 3021377, 6972593, 13466917, 20996011, 24036583, 25964951, 30402457, 32582657, 37156667, 42643801, 43112609, 57885161,
Examples for showing images of external pages
Images from external sources have to be put as full link on a page.
Images from Commons Wikimedia
Marin Mersenne |
GIMPS logo |
Image from Wikipedia
Images can only be diplayed in available sizes, no resize possible.
Image from Wikpedia |
Example for SVG support
Examples for graphs from CSV file
Display with parser function:
Display with image handler:
Examples for graphs extension