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Another popular use of the calculator involves the creation of graphic arts using equations and inequalities. [19] Some of these projects have included features such as 3D via parameterization, and with the use of RGB and HSV colouring introduced in late 2020, [20] artwork with custom colouring, as well as the domain colouring of complex functions.
Visual representation of a strange attractor. [1] Another visualization of the same 3D attractor is this video.Code capable of rendering this is available.. In the mathematical field of dynamical systems, an attractor is a set of states toward which a system tends to evolve, [2] for a wide variety of starting conditions of the system.
is the smallest closed set containing at least three points which is completely invariant under f. is the closure of the set of repelling periodic points. For all but at most two points , the Julia set is the set of limit points of the full backwards orbit (). (This suggests a simple algorithm for plotting Julia sets, see below.)
List of interactive geometry software. Interactive geometry software (IGS) or dynamic geometry environments (DGEs) are computer programs which allow one to create and then manipulate geometric constructions, primarily in plane geometry. In most IGS, one starts construction by putting a few points and using them to define new objects such as ...
Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional Euclidean space, . [1] The term vector calculus is sometimes used as a synonym for the broader subject of multivariable calculus, which spans vector calculus as well as partial differentiation and multiple integration.
GeoGebra is an interactive mathematics software suite for learning and teaching science, technology, engineering, and mathematics from primary school up to the university level. Constructions can be made with points, vectors, segments, lines, polygons, conic sections, inequalities, implicit polynomials and functions, all of which can be edited ...
In mathematics, the cross product or vector product (occasionally directed area product, to emphasize its geometric significance) is a binary operation on two vectors in a three-dimensional oriented Euclidean vector space (named here ), and is denoted by the symbol . Given two linearly independent vectors a and b, the cross product, a × b ...
Convex combination. Linear combination of points where all coefficients are non-negative and sum to 1. Given three points in a plane as shown in the figure, the point is a convex combination of the three points, while is not. ( is however an affine combination of the three points, as their affine hull is the entire plane.)