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In mathematics, a rotation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x′y′-Cartesian coordinate system in which the origin is kept fixed and the x′ and y′ axes are obtained by rotating the x and y axes counterclockwise through an angle .
Line chart showing the population of the town of Pushkin, Saint Petersburg from 1800 to 2010, measured at various intervals. A line chart or line graph, also known as curve chart, [1] is a type of chart that displays information as a series of data points called 'markers' connected by straight line segments. [2]
A Pareto chart is a type of chart that contains both bars and a line graph, where individual values are represented in descending order by bars, and the cumulative total is represented by the line. The chart is named for the Pareto principle , which, in turn, derives its name from Vilfredo Pareto , a noted Italian economist.
In science and engineering, a log–log graph or log–log plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal and vertical axes. Power functions – relationships of the form y = a x k {\displaystyle y=ax^{k}} – appear as straight lines in a log–log graph, with the exponent corresponding to ...
The horizon chart is a variation of the area chart. Having established a horizontal axis, negative values are mirrored over the horizontal axis, while positive values retain their position. As an alternative approach, rather than reflecting negative values, they can be shifted so that the smaller value aligns with the horizontal axis.
The Pournelle chart, developed by Jerry Pournelle in his 1963 political science Ph.D. dissertation, is a two-dimensional coordinate system which can be used to distinguish political ideologies. It is similar to the political compass and the Nolan Chart in that it is a two-dimensional chart, but the axes of the Pournelle chart are different from ...
showing on a horizontal axis and on a vertical axis, where is a phase space trajectory. Scatterplot : A scatter graph or scatter plot is a type of display using variables for a set of data. The data is displayed as a collection of points, each having the value of one variable determining the position on the horizontal axis and the value of the ...
To explore more relationships, axes may be reordered or restructured. One approach arranges axes in 3-dimensional space (still in parallel, forming a Lattice graph), an axis can have more than two neighbors in a circle around the central attribute, and the arrangement problem can be improve by using a minimum spanning tree. [11]
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