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Spatiotemporal Epidemiological Modeler (STEM), is an open source tool for creating and studying new mathematical models of Infectious Disease. SpringSource STS, plugin for Spring framework based development; Sybase PowerDesigner, a data-modeling and collaborative design tool for enterprises that need to build or re-engineer applications.
The superformula is a generalization of the superellipse and was proposed by Johan Gielis in 2003. [1] Gielis suggested that the formula can be used to describe many complex shapes and curves that are found in nature.
Model Transformation includes projects using Eclipse Modeling Framework (EMF)-based models as an input to produce either a model or text as an output. Model-to-model transformation projects include ATLAS Transformation Language (ATL), an open source transformation language and toolkit used to transform a given model or to generate a new model ...
Geometric modeling is a branch of applied mathematics and computational geometry that studies methods and algorithms for the mathematical description of shapes.The shapes studied in geometric modeling are mostly two- or three-dimensional (solid figures), although many of its tools and principles can be applied to sets of any finite dimension.
Superellipsoid collection with exponent parameters, created using POV-Ray.Here, e = 2/r, and n = 2/t (equivalently, r = 2/e and t = 2/n). [1]In mathematics, a superellipsoid (or super-ellipsoid) is a solid whose horizontal sections are superellipses (Lamé curves) with the same squareness parameter , and whose vertical sections through the center are superellipses with the squareness parameter .
Thus, code written in an object-oriented language that models shapes will frequently choose to make class Circle a subclass of class Ellipse, i.e. inheriting from it. A subclass must provide support for all behaviour supported by the super-class; subclasses must implement any mutator methods defined in a base class.
In mathematics, the Jacobi curve is a representation of an elliptic curve different from the usual one defined by the Weierstrass equation.Sometimes it is used in cryptography instead of the Weierstrass form because it can provide a defence against simple and differential power analysis style (SPA) attacks; it is possible, indeed, to use the general addition formula also for doubling a point ...
Hence, it is confocal to the given ellipse and the length of the string is l = 2r x + (a − c). Solving for r x yields r x = 1 / 2 (l − a + c); furthermore r 2 y = r 2 x − c 2. From the upper diagram we see that S 1 and S 2 are the foci of the ellipse section of the ellipsoid in the xz-plane and that r 2 z = r 2 x − a 2.
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