As a matter of fact, Boole's algebraic manipulations can be regarded as derived rules arising from the following replacement rule, a nonuniform version of substitution. A=B D=C[⋯A⋯]D=C[⋯B⋯] This rule may be seen to codify Boole's practice and its doctrine. For he captur...
Proofs are constructed and structured by means of a composition operator and a consequential rule-forming operator. Their interplay and their relation wrt. the refinement order are expressed as algebraic laws.Martin SimonsMichel SintzoffAlgebraic methodology and software technology: 6th international ...
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Property delegation is a reflection feature in the Kotlin language which lets us access properties to which an instance is bound. For example, we can read the property name like so: class Var(val name: String?) { operator fun getValue(thisRef: Any?, property: KProperty<*>) = Var(name ...
This formula is similar in complexity to the equivariant Monk’s rule for G/B and has positive, although occasionally non-integral, coefficients. Giambelli’s formula is much simpler for Peterson varieties than for G/B. Theorem Giambelli’s formula for Peterson Schubert classes: \begin{aligned...
The rule, if present, is eitheroptionalorasymmetric. The absence of a rule indicates that the field is required. The name is a human-readable identifier for the field. It's used to refer to the field in code, but it's never encoded on the wire and can safely be renamed at will. Th...
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(interval) neutrosophic hesitant fuzzy set; neutro-homomorphism; neutrosophic computation; quantum computation; neutrosophic association rule; data mining; big data; oracle Turing machines; recursive enumerability; oracle computation; interval number; dependent degree; possibility degree; power aggregation ...
The importance of dealing with additive functions on translation quivers is well-known since a long time, of particular relevance have been the hammock functions introduced by Brenner [3], see also [14]; hammock functions for vertices of the translation quivers of the formΓ=ℤΔwithΔa Dynki...
The approximate stability crossover region can be searched and locked on by applying concepts borrowed from simplicial algorithms and the game of Hex.; The three basic constitutive components of simplicial algorithms are triangulation, labelling rule, and searching completely labelled simplexes, thereby ...