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A world-sheet is then an embedded surface, that is, an embedded 2-manifold , such that the induced metric has signature (, +) everywhere. Consequently it is possible to locally define coordinates ( τ , σ ) {\displaystyle (\tau ,\sigma )} where τ {\displaystyle \tau } is time-like while σ {\displaystyle \sigma } is space-like .
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 .
For mathematical objects in more dimensions, see list of mathematical shapes. For a broader scope, see list of shapes . Generally composed of straight line segments
A Voronoi diagram is a special kind of decomposition of a metric space determined by distances to a specified discrete set of objects in the space, e.g., by a discrete set of points. This diagram is named after Georgy Voronoi , also called a Voronoi tessellation , a Voronoi decomposition, or a Dirichlet tessellation after Peter Gustav Lejeune ...
The Mandelbrot set, one of the most famous examples of mathematical visualization.. Mathematical phenomena can be understood and explored via visualization.Classically, this consisted of two-dimensional drawings or building three-dimensional models (particularly plaster models in the 19th and early 20th century).
Print/export Download as PDF; Printable version; In other projects ... Pages in category "Mathematical objects" The following 7 pages are in this category, out of 7 ...
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Also called infinitesimal calculus A foundation of calculus, first developed in the 17th century, that makes use of infinitesimal numbers. Calculus of moving surfaces an extension of the theory of tensor calculus to include deforming manifolds. Calculus of variations the field dedicated to maximizing or minimizing functionals. It used to be called functional calculus. Catastrophe theory a ...
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