branch of mathematics, a cubical set is a set-valued contravariant functor on the category of (various) n-cubes. Cubical sets have been often considered...

In mathematics, a cubical complex (also called cubical set and Cartesian complex) is a set composed of points, line segments, squares, cubes, and their...

maximal groupoid contained in the category. cubical A cubical set is an alternative for a simplicial set; a simplex is replaced by a cube. Day convolution...

Look up cubic or cubical in Wiktionary, the free dictionary. Cubic may refer to: Cube (algebra), "cubic" measurement Cube, a three-dimensional solid object...

can be represented in many ways, one of which is the graph known as the cubical graph. It can be constructed by using the Cartesian product of graphs....

Huber, S. "A model of type theory in cubical sets" (PDF). Altenkirch, Thorsten; Kaposi, Ambrus, A syntax for cubical type theory (PDF) V. Voevodsky, Univalent...

automorphisms of a graph. Consider the cubical graph as pictured, and let G denote its automorphism group. Then G acts on the set of vertices {1, 2, ..., 8}, and...

six square faces, the hypersurface of the tesseract consists of eight cubical cells, meeting at right angles. The tesseract is one of the six convex...

setting: a gigantic, mechanized cubical structure of unknown purpose and origin, made up of numerous smaller cubical rooms, in which most or all of the...

denotes a sheaf cohomology and the right the homotopy class of maps. cubical set N-group (category theory) Toën, Bertrand (2002), "Stacks and Non-abelian...

of them one can define the directed geometric realization of cubical set (simplicial set) so that its underlying topological space is the (usual) geometric...

Interdisciplinary Applied Mathematics, Springer, Section 9.4, Weak Orders and Cubical Complexes, pp. 188–196. Ziegler, Günter M. (1995), Lectures on Polytopes...

the k-cells in a cell complex. In simplicial complexes (respectively, cubical complexes), k-chains are combinations of k-simplices (respectively, k-cubes)...

transformations that combine a reflection and a rotation. A cube has the same set of symmetries, since it is the polyhedron that is dual to an octahedron....

plays as a striker. He is nicknamed "El Cubo" (The Cube) due to his large, cubical shaped head. Born in Guadalajara, Jalisco, Mexico, Torres came into the...

groupoids, and observed there should be a corresponding theory using cubical sets, he came up with the idea of test categories and test functors.pg 42...

including (for example) a Sigma 8mm f/3.5 lens which allowed photographers to set their rotator heads to 90° and capture a complete virtual tour of any scene...

early topologists have long been regarded as a mirage.[citation needed] Cubical higher homotopy groupoids are constructed for filtered spaces in the book...

schemes are a particular case of cell decompositions where all the cells are cubical and lie in a regular grid. Cell decompositions provide convenient ways...

Construx feature beam-like pieces of varying lengths that snapped on to cubical connector knots in order to build large shapes. These are relatively secure...

under the pen name "Genêt". She also published a single novel, The Cubical City, set in New York City. She was a prominent member of America's expatriate...

times. The modern tradition of using sets of polyhedral dice started around the end of the 1960s when non-cubical dice became popular among players of...

relative homotopy groups, whose proof requires development of techniques of a cubical higher homotopy groupoid of a filtered space. For any triad of spaces (...

is an allotrope of carbon with a hexagonal lattice, as opposed to the cubical lattice of conventional diamond. It is found in nature in meteorite debris;...

and physicist. About 1902 Lewis started to use unpublished drawings of cubical atoms in his lecture notes, in which the corners of the cube represented...

Tripurasundarī and the accompanying Bhairava is Tripuresh. The main shrine, a cubical edifice with a three-tier roof with a finial, erected by Maharaja of Tripura...

after the associated solid: Triangular prism graph – 6 vertices, 9 edges Cubical graph – 8 vertices, 12 edges Pentagonal prism graph – 10 vertices, 15 edges...

(the derivative set equal to zero). Inflection points of a quintic function are the solution of a cubic equation (the second derivative set equal to zero)...

It is similar in concept to traditional tic-tac-toe but is played in a cubical array of cells, usually 4×4×4. Players take turns placing their markers...

valence led to the modern theories of chemical bonding, including the cubical atom (1902), Lewis structures (1916), valence bond theory (1927), molecular...