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Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
In mathematics, a parametric equation expresses several quantities, such as the coordinates of a point, as functions of one or several variables called parameters. [ 1 ] In the case of a single parameter, parametric equations are commonly used to express the trajectory of a moving point, in which case, the parameter is often, but not ...
−0: Zero has a negative flavor in the worlds of computing, experimental science and statistical mechanics.: 0.999... An infinitely long way to write 1. 2 + 2 = 5...or perhaps it equals 1984...
25 Geometry and other areas of mathematics. 26 Glyphs and symbols. 27 Table of all the Shapes. 28 References. ... Parametric curve. Bézier curve; Spline. Hermite spline.
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This category is for the families of graphs whose definitions depend on a set of numeric parameters. Pages in category "Parametric families of graphs" The following 51 pages are in this category, out of 51 total.
For every graph G, there exists a highly irregular graph H containing G as an induced subgraph. [ 3 ] This last observation can be considered analogous to a result of Dénes Kőnig , which states that if H is a graph with greatest degree r , then there is a graph G which is r -regular and contains H as an induced subgraph.
The Petersen graph is a well known non-Hamiltonian graph, but all odd graphs for are known to have a Hamiltonian cycle. [17] As the odd graphs are vertex-transitive , they are thus one of the special cases with a known positive answer to Lovász' conjecture on Hamiltonian cycles in vertex-transitive graphs.