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polyadic
polyadic, a. (pɒlɪˈædɪk) [f. polyad + -ic.] Involving many (usu., three or more) quantities or elements. Hence polyˈadically adv.; polyaˈdicity, the state or quality of being polyadic.1906 C. S. Peirce in Monist XVI. 512 A Predicate is either non-relative, or a monad..as is ‘black’; or it is a dyadi... Oxford English Dictionary
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Polyadic algebra
Polyadic algebras (more recently called Halmos algebras) are algebraic structures introduced by Paul Halmos. wikipedia.org
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Polyadic space
It follows that is a polyadic space. Hence is a polyadic space with compactness number . Polyadic spaces are hyadic. wikipedia.org
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-adic
-adic, suffix (ˈædɪk) [f. -ad1 1 a + -ic. In sense 1 after G. -adisch (K. Hensel Zahlentheorie (1913) iii. 51); in sense 2 f. polyadic a. Cf. also monadic a., dyadic a. (n.), etc.] 1. Math. Used with a preceding symbol or numeral, esp. the generalized symbol p (denoting a prime number), to designate... Oxford English Dictionary
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Monadic predicate calculus
Monadic predicate calculus can be contrasted with polyadic predicate calculus, which allows relation symbols that take two or more arguments. Expressiveness The absence of polyadic relation symbols severely restricts what can be expressed in the monadic predicate calculus. wikipedia.org
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dyadic
dyadic, a. (n.) (daɪˈædɪk) [ad. Gr. δυαδικ-ός of the number two.] Of or pertaining to a dyad or group of two. dyadic arithmetic: binary arithmetic, in which the radix is 2. dyadic disyntheme: see duadic.1727–51 Chambers Cycl. s.v. Arithmetic, Binary or Dyadic Arithmetic is that, wherein only two fig... Oxford English Dictionary
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Monadic Boolean algebra
They are to monadic predicate logic what Boolean algebras are to propositional logic, and what polyadic algebras are to first-order logic. Paul Halmos discovered monadic Boolean algebras while working on polyadic algebras; Halmos (1962) reprints the relevant papers. wikipedia.org
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CP-ALS Tensor Decomposition I'm trying to implement CP-ALS (alternating least squares algorithm for canonical polyadic decomposition) tensor rank decomposition, but I cannot find any references for good guesses for th...
A good place to look for code examples is GitHub. For instance, I found this implementation of CP-ALS by just searching for the terms "tensor decomposition" in GitHub's search-box function (it was on page 3). I am not familiar with Alternating Least Squares, let alone the tensor version of it, so I ...
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Cylindric algebra
They differ from polyadic algebras in that the latter do not model equality. approaches to modelling quantification and eliminating variables Hyperdoctrines are a categorical formulation of cylindric algebras Relation algebras (RA) Polyadic wikipedia.org
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How to reduce predicate logic into propositional logic? I read that predicate logic reduces into propositional logic. However, I couldn't find anything online that explains the process. Do you know where I could find ...
Full predicate logic (with polyadic predicates) cannot be reduced to propositional logic, but **monadic** predicate logic _can_.
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Π-calculus
The polyadic -calculus allows communicating more than one name in a single action: (polyadic output) and (polyadic input). This polyadic extension, which is useful especially when studying types for name passing processes, can be encoded in the monadic calculus by passing wikipedia.org
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Dyadic space
Polyadic spaces are generalisation of dyadic spaces. References Properties of topological spaces wikipedia.org
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What is the prerequisiste to study Tensors for application in signal processing? I want to study Blind Source separation in signal processing for this I need to study Tensors and have a basic idea about rank, border r...
I think the best (shortest) way to learn rank, border rank, canonical polyadic decomposition, higher-order singular values decomposition, tensor trains
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Rho calculus
The second is a reflective higher-order variant of the asynchronous polyadic pi calculus. References Lambda calculus wikipedia.org
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Arity
In logic and philosophy, predicates or relations accepting a variable number of arguments are called multigrade, anadic, or variably polyadic. n-ary means n operands (or parameters), but is often used as a synonym of "polyadic". wikipedia.org
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