Sentence examples for operations of composition from inspiring English sources
Briefly, the primitive recursive functions are those that can be formed from the basic functions: by using the operations of composition and primitive recursion: It is known that the Turing computable functions are exactly the recursive functions.
Following De Morgan's paper, Peirce, in his paper "Description of a Notation for the Logic of Relatives, resulting from an Amplification of the Conceptions of Boole's Calculus of Logic" from 1870, lifted Boole's work to the setting of binary relations with binary relations one had, in addition to union, intersection and complement, the natural operations of composition and converse.
They are also applicable to many nonnumeric domains such as the subsets of a given set under the operations of union and intersection, the words over a given alphabet under the operations of concatenation and reversal, the permutations of a given set under the operations of composition and inverse, etc.
The microsymmetry group of a field at \(p \in M\) is the group of its microsymmetries at \(p \in M\) under the operation of composition.
The theory includes the operations of parallel composition to support the structural composition of components, logical conjunction and disjunction for independent development, hiding to support abstraction of interfaces, and quotient for incremental synthesis of components.
By revisiting algebraic operations of screw compositions, this paper examines associativity and derivative properties of the screw triangle product of finite screws and produces a vigorous proof that a derivative of a screw triangle product can be expressed as a linear combination of instantaneous screws.
Previous work has developed a set of operations for composition and for removing redundancies in FODDs, thus keeping them compact, and showed how to successfully employ FODDs for solving large-scale stochastic planning problems through the formalism of relational Markov decision processes (RMDP).
The set of Sheffer sequences is a group under operation of umbral composition.
Then, the set of polynomial automorphisms forms a monoid with respect to the operation of functional composition, which is isomorphic to the multiplicative monoid Z ∖ { 0 } Open image in new window.
Instead, P G) is distinct from P0(G) when G is the additive group of a rational number; in this case, we will prove that P ( Q ) = A ( Q ) Open image in new window, and the set of polynomial automorphisms forms a monoid with respect to the operation of functional composition, which is isomorphic to the multiplicative monoid Z ∖ { 0 } Open image in new window.
These neurons are logic-driven processing units realizing s t and t s composition operations of fuzzy sets and fuzzy connections with "t" and "s" being triangular norms and co-norms.
