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Gradient theorem (vector calculus) Graph structure theorem (graph theory) Grauert–Riemenschneider vanishing theorem (algebraic geometry) Great orthogonality theorem (group theory) Green–Tao theorem (number theory) Green's theorem (vector calculus) Grinberg's theorem (graph theory) Gromov's compactness theorem (Riemannian geometry)
The web graph W n,r is a graph consisting of r concentric copies of the cycle graph C n, with corresponding vertices connected by "spokes". Thus W n,1 is the same graph as C n, and W n,2 is a prism. A web graph has also been defined as a prism graph Y n+1, 3, with the edges of the outer cycle removed. [7] [10]
Fine art: Geometric abstraction in Constructivist art [33] [34] Leonardo da Vinci: 1452–1519: Fine art: Mathematically-inspired proportion, including golden ratio (used as golden rectangles) [19] [35] Longhurst, Robert: 1949– Sculpture: Sculptures of minimal surfaces, saddle surfaces, and other mathematical concepts [36] Man Ray: 1890 ...
Mathematical analysis formally developed in the 17th century during the Scientific Revolution, [3] but many of its ideas can be traced back to earlier mathematicians. Early results in analysis were implicitly present in the early days of ancient Greek mathematics.
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 ...
1-factorization of the Desargues graph: each color class is a 1-factor. The Petersen graph can be partitioned into a 1-factor (red) and a 2-factor (blue). However, the graph is not 1-factorable. In graph theory, a factor of a graph G is a spanning subgraph, i.e., a subgraph that has the same vertex set as G.
The ZW-calculus was developed alongside the ZX-calculus, and can naturally describe the W-state and Fermionic quantum computing. [ 26 ] [ 27 ] It was the first graphical language which had a complete rule-set for an approximately universal set of linear maps between qubits, [ 8 ] and the early completeness results of the ZX-calculus use a ...
The choosability (or list colorability or list chromatic number) ch(G) of a graph G is the least number k such that G is k-choosable. More generally, for a function f assigning a positive integer f ( v ) to each vertex v , a graph G is f -choosable (or f -list-colorable ) if it has a list coloring no matter how one assigns a list of f ( v ...