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Ternary plot. A ternary plot, ternary graph, triangle plot, simplex plot, or Gibbs triangle is a barycentric plot on three variables which sum to a constant. [ 1] It graphically depicts the ratios of the three variables as positions in an equilateral triangle. It is used in physical chemistry, petrology, mineralogy, metallurgy, and other ...
Transformation matrix. In linear algebra, linear transformations can be represented by matrices. If is a linear transformation mapping to and is a column vector with entries, then for some matrix , called the transformation matrix of . [citation needed] Note that has rows and columns, whereas the transformation is from to .
Shoelace formula. The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2] It is called the shoelace formula because of the constant cross-multiplying for the ...
Multivariate interpolation. In numerical analysis, multivariate interpolation is interpolation on functions of more than one variable ( multivariate functions ); when the variates are spatial coordinates, it is also known as spatial interpolation . The function to be interpolated is known at given points and the interpolation problem consists ...
Comparison of Linear, Concave, and Convex Functions In original (left) and log10 (right) scales. 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 – appear as straight ...
The different variables are combined to form coordinates in the phase space and they are displayed using glyphs and coloured using another scalar variable. [ 1 ] A scatter plot , also called a scatterplot , scatter graph , scatter chart , scattergram , or scatter diagram , [ 2 ] is a type of plot or mathematical diagram using Cartesian ...
The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. It is the length of the line segment which joins the point to the line and is perpendicular to the line. The formula for calculating it can be derived and expressed in several ways.
Δ λ = λ 2 − λ 1 {\displaystyle \Delta \lambda =\lambda _ {2}-\lambda _ {1}} . Finally, the haversine function hav (θ), applied above to both the central angle θ and the differences in latitude and longitude, is. The haversine function computes half a versine of the angle θ, or the squares of half chord of the angle on a unit circle ...