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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
Cubical_set
In mathematics, a cubical complex (also called cubical set and Cartesian complex) is a set composed of points, line segments, squares, cubes, and their
Cubical_complex
Later variants include Cartesian cubical type theory. Cubical type theories have semantics in various types of cubical sets. The Agda proof assistant includes
Cubical_type_theory
Four-dimensional analogue of the cube
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
Tesseract
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
Glossary_of_category_theory
Mathematical concept
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
Univalent_foundations
Solid with six equal square faces
vertices connected with an edge in a plane. Such a graph is called the cubical graph, a special case of the hypercube graph. The cube is the core of many
Cube
Transformations induced by a mathematical group
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
Group_action
Canadian science-fiction horror film series
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
Cube_(film_series)
of them one can define the directed geometric realization of cubical set (simplicial set) so that its underlying topological space is the (usual) geometric
Directed_algebraic_topology
Seminal math text
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
Pursuing_Stacks
Topics referred to by the same term
Look up cubic or cubical in Wiktionary, the free dictionary. Cubic may refer to: Cube (algebra), "cubic" measurement Cube, a three-dimensional solid object
Cubic
Mexican footballer
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
Erick Torres (footballer, born 1993)
Erick_Torres_(footballer,_born_1993)
Marked objects for finding random numbers
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
Dice
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
Simplicial_presheaf
Film by Vincenzo Natali
David W. Pravica, who was the math consultant. It consists of an outer cubical shell or sarcophagus, and the inner cube rooms. Each side of the outer
Cube_(1997_film)
3D symmetry group
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.
Octahedral_symmetry
American physical chemist (1875–1946)
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
Gilbert_N._Lewis
Mathematical ranking of a set
Interdisciplinary Applied Mathematics, Springer, Section 9.4, Weak Orders and Cubical Complexes, pp. 188–196. Ziegler, Günter M. (1995), Lectures on Polytopes
Weak_ordering
Interactive panoramic photo viewing format
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
VR_photography
the language of univalent foundations to reason about simplicial sets and cubical sets. Synthetic computability theory develops computability theory in
Synthetic_mathematics
Graph with a prism as its skeleton
after the associated solid: Triangular prism graph – 6 vertices, 9 edges Cubical graph – 8 vertices, 12 edges Pentagonal prism graph – 10 vertices, 15 edges
Prism_graph
American writer and journalist (1892–1978)
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
Janet_Flanner
Hindu temple in Tripura, India
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
Tripura_Sundari_Temple
Mathematical theory of data types
type theory explores equality of types Cubical type theory is an implementation of homotopy type theory Class (set theory) Type–token distinction The Kleene–Rosser
Type_theory
Set of principles for modeling solid geometry
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
Solid_modeling
Mathematical theorem
early topologists have long been regarded as a mirage.[citation needed] Cubical higher homotopy groupoids are constructed for filtered spaces in the book
Eckmann–Hilton_argument
the groupoid model, the simplicial set model, the assemblies model,[citation needed] and several models in cubical sets starting with the BCH (Bezem–Coquand–Huber)
Semantics_of_type_theory
Plastic building toy brand
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
Construx
Generalization of category theory
where "weak" structures arise in the form of higher categories, strict cubical higher homotopy groupoids have also arisen as giving a new foundation for
Higher_category_theory
Gives a homomorphism from homotopy groups to homology groups
relative homotopy groups, whose proof requires development of techniques of a cubical higher homotopy groupoid of a filtered space. For any triad of spaces (
Hurewicz_theorem
Hexagonal lattice allotrope of carbon
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;
Lonsdaleite
Bronze Age civilisation in South Asia
mostly toys. The Harappans also made various toys and games, among them cubical dice (with one to six holes on the faces), which were found in sites like
Indus_Valley_Civilisation
Creating sequence of numbers that cannot be predicted
long as the seed is secret. The sender and receiver can generate the same set of numbers automatically to use as keys. The generation of pseudorandom numbers
Random_number_generation
Atomic model introduced by Niels Bohr in 1913
Joseph Larmor's Solar System model (1897), Jean Perrin's model (1901), the cubical model (1902), Hantaro Nagaoka's Saturnian model (1904), the plum pudding
Bohr_model
Polynomial equation of degree 3
(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)
Cubic_equation
Describes the fundamental group in terms of a cover by two open path-connected subspaces
Sivera. Nonabelian Algebraic Topology: filtered spaces, crossed complexes, cubical homotopy groupoids, European Mathematical Society Tracts vol 15, August
Seifert–Van_Kampen_theorem
focal set of a plane curve will generically consist of smooth pieces of curve and ordinary cusp points (semi-cubical parabolae). The affine focal set of
Affine_focal_set
Abstract strategy game
It is similar in concept to traditional tic-tac-toe but is played in a cubical array of cells, usually 4×4×4 (64 cells). Players take turns placing their
3D_tic-tac-toe
Branch of mathematics
3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry: 3-manifolds, Right-angled Artin Groups, and Cubical Geometry. American Mathematical Soc.
Geometry
U.S. national memorial in Washington, D.C.
monument, has a marble capstone shaped like a truncated pyramid, with a cubical keystone projecting from its base and a deep groove surrounding the keystone
Washington_Monument
Deity and symbol in the occult traditions
name Baphomet to their so-called idol. Baphomet was Father Mithras, the cubical stone which was the corner of the Temple. Lévi's Baphomet is the source
Baphomet
Catholic basilica in Rome
architectural spaces, developed from a Greek cross, with a dominant transept, with cubical chapels at each end, and the effect of a transverse nave. There is no true
Santa Maria degli Angeli e dei Martiri
Santa_Maria_degli_Angeli_e_dei_Martiri
Graphs formed by a hypercube's edges and vertices
the cubical graph Q 3 {\displaystyle Q_{3}} . The hypercube graph Q n {\displaystyle Q_{n}} may be constructed from the family of subsets of a set with
Hypercube_graph
2014 building in Salt Lake City, Utah, U.S.
The building's nickname was a reference to its cubical profile (the Borgs of Star Trek used cubical spaceships) and "austere aesthetic." Plans for a
Orrin G. Hatch United States Courthouse
Orrin_G._Hatch_United_States_Courthouse
Board and dice game for two players
per player. However, unlike modern Western backgammon, there were three cubical dice not two, no bar nor doubling die, and all counters started off the
Backgammon
Tiling of the plane with 60° rhombi
three-dimensionality of this tiling: in it he draws a building that has both large cubical blocks as architectural elements (drawn isometrically) and an upstairs
Rhombille_tiling
Covering by shapes without overlaps or gaps
Heinrich Heesch and Otto Kienzle (1963). In Latin, tessella is a small cubical piece of clay, stone, or glass used to make mosaics. The word "tessella"
Tessellation
Leather boxes containing parchment with Torah verses
rules. In earlier Talmudic times, tefillin were either cylindrical or cubical, but later the cylindrical form became obsolete. Nowadays the boxes should
Tefillin
Mathematical foam of equal-volume bubbles
prisms called tetrastix. These prisms surround cubical voids which form one fourth of the cells of the cubical tiling; the remaining three fourths of the
Weaire–Phelan_structure
Method for computing topological features of a space at different spatial resolutions
its canonical form by upper-triangular matrices and runs in worst-case cubical complexity in the number of simplices. The fastest known algorithm for
Persistent_homology
Graph with an Archimedean solid as its skeleton
planar graphs), and also Hamiltonian graphs. Along with the 13, the infinite sets of prism graphs and antiprism graphs can also be considered Archimedean graphs
Archimedean_graph
Puzzle
was invented by Tony Durham and marketed by Uwe Mèffert. Although it is cubical, it differs from the typical cubes' construction; its axes of rotation
Skewb
Type theory in logic and mathematics
computational behavior of the univalence axiom in homotopy type theory. Cubical type theory is one attempt to give computational content to homotopy type
Homotopy_type_theory
Mansion in the City of Westminster, London, England
Marlborough House, before its independence on 18 February 1965. The nearly cubical saloon retains wall-paintings by Louis Laguerre of the Battle of Blenheim
Marlborough_House
Mathematical heuristic
Sterling, Jonathan; Angiuli, Carlo; Gratzer, Daniel (2022). "A Cubical Language for Bishop Sets". Logical Methods in Computer Science 9069. arXiv:2003.01491
Grothendieck's relative point of view
Grothendieck's_relative_point_of_view
Concept in algebraic topology
approximations" (PDF). Topology Proceedings. 24: 503–532. Topological methods in scientific computing Computational homology (also cubical homology)
Simplicial_homology
Material derived from the tusks and teeth of animals
Museum of Art Virgin Mary head from the Philippines, 18th–19th century A cubical ivory bead or game piece from the collections of the Hunt Museum Ngọ Môn
Ivory
English rock band
Bodyweb and Ryder Johnson; "Sweet" performed live at Barclays Arena and "Cubical Dialogue" remixed by I'm Letting Unseen Forces Take the Wheel. On 3 November
Static_Dress
American chemist and physicist (1881–1957)
Electrons in Atoms and Molecules" in which, building on Gilbert N. Lewis's cubical atom theory and Walther Kossel's chemical bonding theory, he outlined his
Irving_Langmuir
Monumental structure in the form of an archway
quadrifrons in Latin), as it has four piers. Roman examples are usually roughly cubical, like the Arch of Septimius Severus in Leptis Magna, Libya, but modern
Triumphal_arch
Function describing an electron in an atom
region around the nucleus. Each orbital in an atom is characterized by a set of values of three quantum numbers n, ℓ, and mℓ, which respectively correspond
Atomic_orbital
Building in Palermo, Italy
together with an artificial lake. The name Cuba derives either from its cubical form, or the Arabic Qubba, "dome". It is an imitation of the Zisa palace
Cuba_Palace
Chess variant
agree about whether (six-sided) cubical or (four-sided) stick dice were used. However, H. J. R. Murray believes cubical dice to only be a substitute for
Chaturaji
Type of topological space
the standard CW structure on R n {\displaystyle \mathbb {R} ^{n}} has cubical cells that are products of the 0 and 1-cells from R {\displaystyle \mathbb
CW_complex
Chemical compound
with sodium ions tetrahedrally coordinated to 4 oxide ions and oxide cubically coordinated to 8 sodium ions. Sodium oxide is produced by the reaction
Sodium_oxide
Group of metamorphic rocks
across this as readily as along it; in fact, they tend to separate into cubical fragments rather than into thin plates. Sheet minerals may be abundant
Hornfels
Device for controlled nuclear reactions
Molten-salt reactor Molten metal reactor (e.g. LAMPRE) Gas fueled (theoretical) Cubical Cylindrical Octagonal Spherical Slab Annulus Electricity Nuclear power
Nuclear_reactor
Brand of chocolate bar
which was opened in 2001. The museum, on Alfred-Ritter-Straße 27, is a cubical building with limestone wall covering; a 12-metre-high central open passage
Ritter_Sport
Atoms with a single valence electron, so they behave like hydrogen
non-square-integrable continuum (E > 0) states must be included to obtain a complete set, i.e., to span all of one-electron Hilbert space. This was observed as early
Hydrogen-like_atom
Formal linear combination in a cell complex
the k-cells in a cell complex. In simplicial complexes (respectively, cubical complexes), k-chains are combinations of k-simplices (respectively, k-cubes)
Chain_(algebraic_topology)
Subdivision of space into cells
difficult to create than others. Simplicial meshes tend to be easier than cubical meshes. An important category is generating a hex mesh conforming to a
Mesh_generation
Class of board game
24 rectangular points, 12 on each side. Each player had 15 men and used cubical dice with sides numbered one to six. The object of the game was to be the
Tables_game
U.S. atomic bomb type used at Nagasaki, 1945
wobble until an arrangement dubbed a "California Parachute" was approved, a cubical open-rear tail box outer surface with eight radial fins inside of it, four
Fat_Man
Gravity Bone (2008, Blendo Games, PC) – A cinematic spy game featuring cubical characters. Winner of the GameTunnel Best Arthouse Game 2008 award. I Wish
List_of_art_video_games
Equivalence between the categories of chain complexes and simplicial abelian groups
a Section 14.8 on cubical versions of the Dold–Kan theorem, and relates them to a previous equivalence of categories between cubical omega-groupoids and
Dold–Kan_correspondence
Abstract simplicial complex describing a graph's cliques
guarded if it corresponds to a conformal hypergraph. Gromov showed that a cubical complex (that is, a family of hypercubes intersecting face-to-face) forms
Clique_complex
period ranging from the various dice games to other board games. The use of cubical and oblong dice was common in the Indus Valley Harappan civilization (c
History_of_games
Branch of mathematics
(2011), Nonabelian Algebraic Topology: Filtered Spaces, Crossed Complexes, Cubical Homotopy Groupoids, European Mathematical Society Tracts in Mathematics
Algebraic_topology
Quotient of a weakly contractible space by a free action
( M ) {\displaystyle \pi _{1}(M)} . A finite locally connected CAT(0) cubical complex is a classifying space of its fundamental group. The infinite-dimensional
Classifying_space
characters inspired by them. Dumbassahedratron (Jon Schnepp) – Is a levitating cubical entity obsessed with telling jokes and sharing his bumper sticker insight
List of Aqua Teen Hunger Force characters
List_of_Aqua_Teen_Hunger_Force_characters
Eigenvalue algorithm
reasonable approximation. The Rayleigh quotient iteration algorithm converges cubically for Hermitian or symmetric matrices, given an initial vector that is sufficiently
Rayleigh_quotient_iteration
Discrete (i.e., incremental) version of infinitesimal calculus
{\displaystyle B_{k}} is contained in Z k {\displaystyle Z_{k}} . A cubical complex is a set composed of points, line segments, squares, cubes, and their n-dimensional
Discrete_calculus
Polyhedron with 8 triangles and 6 squares
as the line graph of the cubical graph, making it becomes the locally linear graph. The 24 edges can be partitioned into 2 sets isomorphic to tetrahedral
Cuboctahedron
English serial killer (1941–1995)
dismemberment, Fred claimed, had made it easier to bury the remains in shallow, cubical graves, and he agreed to return to Cromwell Street to indicate precisely
Fred_West
Substances which absorb radio frequency energy
long and a 5 cm × 5 cm (2 in × 2 in) base. That pyramid would set on a 5 cm x 5 cm cubical base that is 2.5 cm (1 in) high (total height of pyramid and
Radiation-absorbent_material
2010 Indian romantic drama film
ball to take a 360-degree turn. This was originally shot with a green cubical turntable to give Hrithik the necessary support to do the act and the table
Guzaarish_(film)
Concept in category theory
(2011). Nonabelian Algebraic Topology: filtered spaces, crossed complexes, cubical omega-groupoids. Tracts in Mathematics. Vol. 15. European Mathematical
Fibred_category
Analysis of datasets using techniques from topology
large (gigabyte-scale) grayscale image data in dimension 1, 2 or 3 using cubical complexes and discrete Morse theory. Another R package, TDAstats, uses
Topological_data_analysis
2011 Indian film by Anubhav Sinha
effects work. A number of complex procedures were executed, including cubical transformations and the design of the faceless form of Ra.One. Despite
Ra.One
1807 book by Georg Wilhelm Friedrich Hegel
independent properties (e.g., this salt is white, and also tart, and also cubical). Consciousness oscillates between these two ways of seeing the object
The_Phenomenology_of_Spirit
Area for keeping and raising animals or plants
enclosures and are able to withstand high degrees of humidity. They may be cubical, spherical, cuboidal, or other shapes. The choice of materials depends
Vivarium
Physical model of non-interacting fermions
as the Fermi sphere. A three-dimensional infinite square well, (i.e. a cubical box that has a side length L) has the potential energy V ( x , y , z )
Fermi_gas
Four-dimensional analogues of the regular polyhedra in three dimensions
polygons in two dimensions. Each convex regular 4-polytope is bounded by a set of 3-dimensional cells which are all Platonic solids of the same type and
Regular_4-polytope
Radiometric device
draper, john william. In 1856, Draper described the device as a cubical brass vessel set upon a vertical rotatable stem. At a little distance is the blackened
Leslie_cube
Evolution of fish
filter feeder. Acanthodes had only two skull bones and were covered in cubical scales. Each paired pectoral and pelvic fins had one spine, as did the
Timeline_of_fish_evolution
three-dimensional Euclidean space by three sets of infinitely-long square prisms aligned with the three coordinate axes, leaving cubical voids. John Horton Conway, Heidi
Tetrastix
Archdiocese of New York acquired the fair's color televisions, while the fair's cubical lampposts were moved to Penn Hills Resort in the Poconos. The Railroad
1964 New York World's Fair pavilions
1964_New_York_World's_Fair_pavilions
Structures designed to protect buildings from earthquakes
frame-panels. One Japanese construction company has developed a six-foot cubical shelter, presented as an alternative to earthquake-proofing an entire building
Earthquake-resistant structures
Earthquake-resistant_structures
Form of divination
tradition and some outside of it. The most common form uses the standard cubical six sided dice with numbers of pips one through six on each side. Others
Astragalomancy
CUBICAL SET
CUBICAL SET
Boy/Male
Hindu, Indian
Musical
Biblical
musical
Boy/Male
Tamil
Musical instrument
Girl/Female
Tamil
Nanduni | நாநà¯à®¤à¯à®¨à¯€
Musical instrument
Nanduni | நாநà¯à®¤à¯à®¨à¯€
Girl/Female
Indian, Tamil
Musical
Girl/Female
Tamil
Musical notes
Girl/Female
Tamil
Musical instrument
Boy/Male
Indian, Sikh
Musical
Girl/Female
Indian, Telugu
Musical
Girl/Female
Tamil
Musical instrument
Boy/Male
Tamil
Musical notes
Boy/Male
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
Musical
Boy/Male
Tamil
Musical
Girl/Female
Tamil
Musical Rhythm
Boy/Male
Tamil
Musical
Male
Celtic
, sportive.
Boy/Male
Hindu
Musical
Boy/Male
Hindu, Indian
Musical
Girl/Female
Tamil
Musical instrument
Girl/Female
Tamil
Musical instrument
CUBICAL SET
CUBICAL SET
Biblical
the gift of God
Boy/Male
Indian, Modern, Tamil
Giving Joy
Boy/Male
Hindu
Feet
Surname or Lastname
German
German : variant of Feigel.English : occupational name for a watchman, from Anglo-Norman French veil(le) ‘watch’, ‘guard’ (Latin vigilia ‘watch’, ‘wakefulness’).Jewish (western Ashkenazic) : variant of Weil.
Girl/Female
Tamil
Diamond, Creeper
Boy/Male
Hindu, Indian
Ganesh
Girl/Female
Tamil
Beautiful
Male
English
English form of Greek Timotheos, TIMOTHY means "to honor God." In the bible, this is the name of a companion of Paul. He was martyred at Ephesus.
Girl/Female
Biblical
Dunghill.
Biblical
a stranger; one that fears
CUBICAL SET
CUBICAL SET
CUBICAL SET
CUBICAL SET
CUBICAL SET
a.
Isometric or monometric; as, cubic cleavage. See Crystallization.
n.
A sleeve covering the arm from the elbow to the hand.
a.
Of the length of a cubit.
a.
Colored a prevailing red, bay, or black, with flecks of white or gray especially on the flanks; -- said of horses.
a.
Colored in, or marked with, red; placed in rubrics.
a.
Of or pertaining to the cubit or ulna; as, the cubital nerve; the cubital artery; the cubital muscle.
a.
Of or pertaining to music; having the qualities of music; or the power of producing music; devoted to music; melodious; harmonious; as, musical proportion; a musical voice; musical instruments; a musical sentence; musical persons.
a.
Having the form or properties of a cube; contained, or capable of being contained, in a cube.
a.
Plane or flat on one side, and conical on the other.
a.
Having the form of, or resembling, a geometrical cone; round and tapering to a point, or gradually lessening in circumference; as, a conic or conical figure; a conical vessel.
a.
Of or pertaining to the rubric or rubrics.
n.
The quality of being cubical.
n.
A social entertainment of which music is the leading feature; a musical party.
n.
Any small cubical or square body.
a.
Given to sneering at rectitude and the conduct of life by moral principles; disbelieving in the reality of any human purposes which are not suggested or directed by self-interest or self-indulgence; as, a cynical man who scoffs at pretensions of integrity; characterized by such opinions; as, cynical views of human nature.
n.
A cubical vessel containing a Roman cubic foot, each side being a Roman square foot; -- used as a measure.
a.
Exciting mirth; droll; laughable; as, a comical story.
a.
Having a mixture of seriousness and sport; serious and comical.
adv.
In a cubical method.
a.
Alt. of Cubical