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Type of topological space
In mathematics, a polyadic space is a topological space that is the image under a continuous function of a topological power of an Alexandroff one-point
Polyadic_space
Type of topological space
introduced by Russian mathematician Pavel Alexandrov. Polyadic spaces are generalisation of dyadic spaces. Efimov, B.A. (2001) [1994], "Dyadic compactum",
Dyadic_space
Decomposition in multilinear algebra
this decomposition is an open problem.[clarification needed] Canonical polyadic decomposition (CPD) is a variant of the tensor rank decomposition, in which
Tensor_rank_decomposition
Magma obeying the Latin square property
any one variable if all the other n variables are specified arbitrarily. Polyadic or multiary means n-ary for some nonnegative integer n. A 0-ary, or nullary
Quasigroup
Number of arguments required by a function
variable number of arguments are called multigrade, anadic, or variably polyadic. Latinate names are commonly used for specific arities, primarily based
Arity
Way to extend a non-compact topological space
{\displaystyle \mathbb {N} } has the discrete topology. Polyadic spaces are defined as topological spaces that are the continuous image of the power of a one-point
Alexandroff_extension
Algebraic object with geometric applications
different from what is now meant by a tensor. Gibbs introduced dyadics and polyadic algebra, which are also tensors in the modern sense. The contemporary usage
Tensor
Second order tensor in vector algebra
term dyadic to related terms triadic, tetradic and polyadic. Kronecker product Bivector Polyadic algebra Unit vector Multivector Differential form Quaternions
Dyadics
American mathematician
Equations, MIT Journal of Mathematics and Physics volume 1. 1923: On Double Polyadics, with Application to the Linear Matrix Equation, Proceedings AAAS 58(10):
Frank_Lauren_Hitchcock
Hungarian-American mathematician (1916–2006)
series of papers reprinted in his 1962 Algebraic Logic, Halmos devised polyadic algebras, an algebraic version of first-order logic differing from the
Paul_Halmos
space is Polish if it is separable and completely metrizable, i.e. if it is homeomorphic to a separable and complete metric space. Polyadic A space is
Glossary_of_general_topology
Type of logical system
variable binding term operators: Cylindric algebra, by Alfred Tarski, et al.; Polyadic algebra, by Paul Halmos; Predicate functor logic, primarily by Willard
First-order_logic
Ways how entities stand to each other
phenomena only concerns how many entities they apply to: regular relations are polyadic and thus apply to several entities; properties are monadic relations and
Relation_(philosophy)
Algebraic structure
Generalizing in a different direction, an n-ary semigroup (also n-semigroup, polyadic semigroup or multiary semigroup) is a generalization of a semigroup to
Semigroup
Method of deriving an ontology
149–158. doi:10.1007/BF01108624. S2CID 122657534. Voutsadakis, G. (2002). "Polyadic Concept Analysis" (PDF). Order. 19 (3): 295–304. doi:10.1023/A:1021252203599
Formal_concept_analysis
Tensor decomposition
Harshman, as well as, the team of Carol and Chang proposed Canonical polyadic decomposition (CPD), which is a variant of the tensor rank decomposition
Higher-order singular value decomposition
Higher-order_singular_value_decomposition
πλεῖστος (pleîstos) "most", πολλοστός (pollostós) hoi polloi, pollakanth, polyadic, polyandry, polygamy, polygon, polyphase, polysaccharide, polytheistic
List of Greek and Latin roots in English/P–Z
List_of_Greek_and_Latin_roots_in_English/P–Z
Dimensionality reduction of graph-based semantic data objects [machine learning task]
ComplEx, and HolE. SimplE: This model is the improvement of canonical polyadic decomposition (CP), in which an embedding vector for the relation and two
Knowledge_graph_embedding
Polish–American mathematician (1901–1983)
example. While Tarski does not enter into the issue, it is also clear that polyadic quantifiers are admitted under the proposal. These are quantifiers like
Alfred_Tarski
Impossibility for separate objects to have all their properties in common
law is erroneous; the law is only applicable in cases of monadic, not polyadic, properties; or What people think about are not the actual objects themselves;
Identity_of_indiscernibles
eliminating the need for parentheses to indicate order of operation. polyadic first-order logic First-order logic extended to include predicates with
Glossary_of_logic
Analysis of sets of categorical sequences
deviant sequences Multiple domains (multichannel analysis) Dyadic and polyadic sequence data Although dissimilarity-based methods play a central role
Sequence analysis in social sciences
Sequence_analysis_in_social_sciences
POLYADIC SPACE
POLYADIC SPACE
Boy/Male
Hindu
Space
Girl/Female
Maori
Open spaces.
Boy/Male
Indian
Open space, Battle field
Surname or Lastname
English
English : habitational name from either of two places in Cheshire. It is possible that the name originally denoted a building where village assemblies were held, named in Old English as ‘meeting-house’, from (ge)mÅt ‘meeting’ + ærn ‘house’, ‘hall’. Other possibilities are that the name derives from Old English (ge)mÅt-rÅ«m ‘meeting space’, or (ge)mÅt-treum ‘assembly trees’.
Girl/Female
Indian, Japanese, Tamil
Space; Star
Boy/Male
Hindu
Limitless space Avatar incarnation
Boy/Male
Muslim
Open space, Battle field
Girl/Female
Biblical
Spaces, places.
Girl/Female
Gujarati, Hindu, Indian
Star in Space
Boy/Male
Biblical
Breadth, space, extent.
Girl/Female
Tamil
Antariksha | அஂதரிகà¯à®·
Space, Sky
Antariksha | அஂதரிகà¯à®·
Surname or Lastname
English
English : occupational name for a wattler, Middle English watelere, i.e. someone who made the panels of interwoven twigs that were used to fill the spaces between the structural timbers of a timber frame building. See also Dauber.
Boy/Male
Hindu
Space
Boy/Male
Arabic, Muslim, Pashtun
Battle Field; Open Space
Boy/Male
Tamil
Limitless space Avatar incarnation
Girl/Female
Indian, Telugu
Goddess of Space
Boy/Male
Tamil
Antrix | அஂதà¯à®°à¯€à®•à¯à®·
Space
Antrix | அஂதà¯à®°à¯€à®•à¯à®·
Boy/Male
Hindu
Space
Girl/Female
Indian, Telugu
Space
Surname or Lastname
English or Scottish
English or Scottish : unexplained.
POLYADIC SPACE
POLYADIC SPACE
Male
Welsh
Welsh form of Latin Hercules, ERCWLFF means "glory of Hera."
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Mythological, Telugu
Sone of Subhadra
Girl/Female
Indian, Sanskrit
Treasure
Boy/Male
Arabic
Heart; Conscience
Surname or Lastname
English and French
English and French : occupational name for a farm bailiff, responsible for overseeing the collection of rent in kind into the barns and storehouses of the lord of the manor. This official had the Anglo-Norman French title grainger, Old French grangier, from Late Latin granicarius, a derivative of granica ‘granary’ (see Grange).
Male
English
Anglicized form of Welsh Iorwerth, YORATH means "handsome lord."
Girl/Female
French
Divine. Mythological ancient Roman divinity Diana was noted for beauty and swiftness; often...
Surname or Lastname
English
English : variant spelling of Quincy.
Girl/Female
Muslim/Islamic
Beautiful
Girl/Female
Tamil
POLYADIC SPACE
POLYADIC SPACE
POLYADIC SPACE
POLYADIC SPACE
POLYADIC SPACE
n.
The quality or state of being polyeidic.
n.
To arrange or adjust the spaces in or between; as, to space words, lines, or letters.
n.
A poisonous glucoside found in many plants, as in the root of soapwort (Saponaria), in the bark of soap bark (Quillaia), etc. It is extracted as a white amorphous powder, which occasions a soapy lather in solution, and produces a local anaesthesia. Formerly called also struthiin, quillaiin, senegin, polygalic acid, etc. By extension, any one of a group of related bodies of which saponin proper is the type.
a.
Of or pertaining to tantalum; derived from, or containing, tantalum; specifically, designating any one of a series of acids analogous to nitric acid and the polyacid compounds of phosphorus.
a.
Of, pertaining to, or derived from, palladium; -- used specifically to designate those compounds in which the element has a higher valence as contrasted with palladious compounds.
a.
Capable of neutralizing, or of combining with, several molecules of a monobasic acid; having more than one hydrogen atom capable of being replaced by acid radicals; -- said of certain bases; as, calcium hydrate and glycerin are polyacid bases.
a.
Passing through several distinct larval forms; -- having several distinct kinds of young.
a.
Of, pertaining to, or containing, molybdenum; specif., designating those compounds in which molybdenum has a lower valence as contrasted with molybdic compounds.
a.
Capable of neutralizing, or of combining with, several molecules of a monacid base; having several hydrogen atoms capable of being replaced by basic radicals; -- said of certain acids; as, sulphuric acid is polybasic.
n.
A salt of molybdic acid.
a.
Of, pertaining to, or obtained from, Polygala; specifically, designating an acrid glucoside (called polygalic acid, senegin, etc.), resembling, or possibly identical with, saponin.
n.
A substance extracted from the rootstock of the Polygala Senega (Seneca root), and probably identical with polygalic acid.
a.
Of, pertaining to, or containing, molybdenum; specif., designating those compounds in which the element has a higher valence, as contrasted with molybdous compounds; as, molybdic oxide.
a.
See Polar.
a.
Without space.
n.
Molybdic ocher.
a.
Of, pertaining to, or containing, palladium; -- used specifically to designate those compounds in which palladium has a lower valence as compared with palladic compounds.
imp. & p. p.
of Space
a.
Pertaining to, or characterized by, polyandry; mating with several males.
n.
One of a class of compounds formed from certain polybasic alcohols (and especially glycerin) by the substitution of chlorine for one or more hydroxyl groups.