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Coordinate charts are mathematical objects of topological manifolds, and they have multiple applications in theoretical and applied mathematics. When a differentiable structure and a metric are defined, greater structure exists, and this allows the definition of constructs such as integration and geodesics .
The following table lists many specialized symbols commonly used in modern mathematics, ordered by their introduction date. The table can also be ordered alphabetically by clicking on the relevant header title.
This template produces one row in a "family tree"-like chart consisting of boxes and connecting lines based loosely on an ASCII art-like syntax.It is meant to be used in conjunction with {{Tree chart/start}} and {{Tree chart/end}}.
A transition map provides a way of comparing two charts of an atlas. To make this comparison, we consider the composition of one chart with the inverse of the other. This composition is not well-defined unless we restrict both charts to the intersection of their domains of definition. (For example, if we have a chart of Europe and a chart of ...
SageMath is designed partially as a free alternative to the general-purpose mathematics products Maple and MATLAB. It can be downloaded or used through a web site. SageMath comprises a variety of other free packages, with a common interface and language. SageMath is developed in Python.
In mathematics, and especially in category theory, a commutative diagram is a diagram of objects, also known as vertices, and morphisms, also known as arrows or edges, such that when selecting two objects any directed path through the diagram leads to the same result by composition.
String diagrams (with generators from ) are arrows in the free monoidal category . [8] The interpretation in a monoidal category D {\displaystyle D} is a defined by a monoidal functor F : C Σ → D {\displaystyle F:C_{\Sigma }\to D} , which by freeness is uniquely determined by a morphism of monoidal signatures F : Σ → U ( D ...
PDF, DVI, LaTeX, Text, Postscript Yes Maple: Yes Yes characters only export only export only Yes Yes Yes Windows, Linux, Mac LaTeX, MathML, PDF No Mathcad : Yes Yes No No No Yes Yes Yes Windows and Mac OS X (a 1998 version only) HTML + jpeg No Mathcha Editor Mathcha: Yes Yes Character only Yes Yes Yes (SVG, or print as PDF) Yes No Web
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