Sentence examples for equality relation from inspiring English sources

One may mention many-valued, or multivalued, logics, which admit a finite number of truth-values; fuzzy logic, with an imprecise membership relationship (though, paradoxically, a precise equality relation); and quantum logic, where conjunction may be only partially defined and implication may not be defined at all.

The first equality relation immediately follows from Theorems 3.1, 3.2.

It is required that \ \bI(=, \Gamma )\) is the equality relation on \ \bD_{O}\), for every state \ \Gamma\), and \ \bI(E, \Gamma )\) is non-empty, for every \ \Gamma\).

In this section, let us treat the equality relation = as a primitive, undefined relation holding between two λ-terms, and try to axiomatize the properties that equality should have.

In order to obtain closed-form solutions, we need some equality relation between the Kronecker blocks of R = R T T ⊗ R R and of either S = S Q T ⊗ S R or I adm = I T T ⊗ I R.

Then, from the compound inequality (8), we obtain the equality relation of the diameter of G with the augmented eccentric connectivity indices as follows: d_{G}=frac{nd^{d}}{xi^{ac}(G)}.

In Section 1.2.1, ∼, and the Π's were taken as primitive constants, and the wffs Qοαα which denote equality relations at type α were defined in terms of these.

Python allows boolean expressions with multiple equality relations in a manner that is consistent with general usage in mathematics.

Thus it is necessary to define an equivalence relation, "equality on the reals".

Equivalence relation, In mathematics, a generalization of the idea of equality between elements of a set.

Kripke models for languages with equality may interpret = at each node by an arbitrary equivalence relation, subject to monotonicity.