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Note: x inputs are from 0-100 and y inputs are from 0-100; This template also takes a variety of other parameters: |color-#= The template can take a color input for each do that is color-dot number (The default color is red) (overrides color-even and color-odd) |legend-color= This template can take a legend input to add to the legend. |x labels ...
Learn to edit; Community portal; Recent changes; ... Download as PDF; Printable version; In other projects ... Folded cube graph; Folkman graph;
x: the x-values as a comma-separated list, for dates and time see remark in xType and yType; y or y1, y2, …: the y-values for one or several data series, respectively. For pie charts y2 denotes the radius of the corresponding sectors. For dates and time see remark in xType and yType
The following other wikis use this file: Usage on de.wikipedia.org Sattelpunkt; Usage on de.wikibooks.org Mathematrix: Aufgabensammlung/ Kurvendiskussion
According to Brooks' theorem every connected cubic graph other than the complete graph K 4 has a vertex coloring with at most three colors. Therefore, every connected cubic graph other than K 4 has an independent set of at least n/3 vertices, where n is the number of vertices in the graph: for instance, the largest color class in a 3-coloring has at least this many vertices.
Firstly, if a < 0, the change of variable x → –x allows supposing a > 0. After this change of variable, the new graph is the mirror image of the previous one, with respect of the y-axis. Then, the change of variable x = x 1 – b / 3a provides a function of the form = + +.
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Singular cubic y 2 = x 2 ⋅ (x + 1). A parametrization is given by t ↦ (t 2 – 1, t ⋅ (t 2 – 1)). A cubic curve may have a singular point, in which case it has a parametrization in terms of a projective line. Otherwise a non-singular cubic curve is known to have nine points of inflection, over an algebraically closed field such as the ...