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[[File:Directed graph.png|thumb|A directed graph, vertex D cannot be reached from vertex B.]] ...ry]], a '''directed graph''' (or '''digraph''') is a [[Graph (mathematics)|graph]] which has directed edges. This means one end of the edge is different fro ...

[[File:London Underground Zone 2.png|thumb|Real-world example of a graph: The central part of the [[London Underground]] map.]] ...r of vertices, written as <math>|V|</math>, is called the '''order''' of a graph. ...

[[File:Fixed point example.svg|thumb|A graph of a function with three fixed points]] [[Category:Systems theory]] ...

* In [[graph theory]], a signed graph is a graph in which each edge has been marked with a positive or negative sign. ...

...re different ways to find out the value of x. Plotting the function on a [[graph]] is one way. In the picture on the right, the function crosses the x-axis ...]] <math>(-1/2, 0)</math> and <math>(1, 0)</math> are the places where the graph of the function crosses the [[Cartesian coordinate system|x-axis]].<ref>{{C ...

[[Category:Graph theory]] ...

...article. The number following the name of the group is the [[order (group theory)|order]] of the group. | [[File:Complete graph K5.svg|105px]] ...

...r function''' is a [[Function (mathematics)|function]] whose [[:wikt:graph|graph]] is a [[Line|straight line]] in 2-dimensions (2D, see images).<ref>{{cite ...a linear function is a function ''f''(''x''):'''R'''→'''R''' such that the graph of ''f'' is a line. This means the [[function (mathematics)|domain]] or inp ...

...al type of equation is called the function. This is often used in making [[graph]]s because it always turns one input into one output. ...s) into and get a certain number (or numbers) out. When using functions, [[graph]]s can be powerful tools in helping us to study the solutions to equations. ...

Mathematicians have grown this basic theory to make simple [[algebra]] rules—which can be used to find the derivative o ...f this speed, then the distance the car travels will be the area under the graph. ...

[[File:Hyperbola E.svg|thumb|The area shown in blue (under the graph of the equation <math>y=1/x</math>) stretching from 1 to <math>e</math> is [[Category:Number theory]] ...

In [[statistics]] and [[probability theory]], '''correlation''' is how similar two [[set]]s of [[Information|data]] ar ...correlation are used for different situations. For example, on a [[scatter graph]], people draw a [[line of best fit]] to show the direction of the correlat ...

...The function ''f'' is a surjection if every horizontal line intersects the graph of ''f'' in at least one point. ...,''y'')):&#8477;&sup2;→&#8477; defined by ''z''=''y'' is a surjection. Its graph is a plane in 3-dimensional space. The pre-image of ''z''_o is t ...

...The function ''f'' is a bijection if every horizontal line intersects the graph of ''f'' in '''exactly''' one point. ...very horizontal line (in the codomain) intersects exactly one point of the graph. ...

...'. The normal distribution is often called the ''bell curve'', because the graph of its [[probability density function|probability density]] looks like a [[ ...

...including [[set theory]] and [[mathematical logic]]. The study of [[number theory]] usually focuses more on the structure and behavior of the integers rather ...[[Abstract algebra]] || [[Linear algebra]] || [[Order theory]] || [[Graph theory]] ...

*[[set theory]] *[[Banach space]] theory ...

...smaller than atoms. It is also called '''quantum physics''' or '''quantum theory'''. [[Mechanics]] is the part of physics that explains how things move and ...e to explain the light that comes from glowing [[hydrogen]]. The quantum [[theory]] of the [[atom]] also had to explain why the [[electron]] stays in its [[o ...

...icted number (with the distance measured in standard deviations), then the theory being tested may not be right. For more information, see [[prediction inter ...l curve''' because the numbers spread out to make the shape of a bell on a graph. ...

...ie, Leipzig: Hirzel English translation The Physical Principles of Quantum Theory. Chicago: University of Chicago Press, 1930.</ref> ...f a reed) and there was an [[wikt:emit|emitted]] wave that could be [[wikt:graph|graphed]] as a [[wikt:sine|sine]] wave. Much of what had earlier been figur ...