# equivalence

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## equivalence

[i′kwiv·ə·ləns]
(mapping)
In an equal-area map projection, the property of having the ratio between areas on the map the same as the ratio between corresponding areas on the earth's surface.
(mathematics)
A logic operator having the property that if P, Q, R, etc., are statements, then the equivalence of P, Q, R, etc., is true if and only if all statements are true or all statements are false.
References in periodicals archive ?
Since different acyclic orientations with unique source at q' give rise to inequivalent q'-reduced divisors we deduce that if U, V [member of] [[?
Table 1: Number N of inequivalent solutions for the construction of W(2n, 9), when ([absolute value of SPA], [absolute value of SPB]) = (5,4) and 400 [less than or equal to] n [less than or equal to] 500.
They cover the structure of the space of the physical states, inequivalent representations of the canonical commutation relations, the spontaneous breakdown of symmetry and the Goldstone theorem, the dynamical rearrangement of symmetry and macroscopic manifestations of quantum field theory, thermal field theory and trajectories in the space of the representations, selected topics in thermal field theory, topological defects as non-homogeneous condensates, and dissipation and quantization.
ii) If [pi] and [pi]' are inequivalent representations of A then [pi]|[sub.
Three Qubits Can be Entangled in Two Inequivalent Ways.
The first null hypothesis we tested was whether there is actually a difference in postdischarge costs [greater than or equal to] [absolute value of \$500], so rejecting this hypothesis of inequivalent costs provides strong evidence that the difference in costs are equivalent (defining equivalent as being < [absolute value of \$500]).
It is false that all bachelors are unmarried (I do not know whether Glock would classify (4) as meaningless or as false, but it is obvious that only two meaningful statements could be said to be equivalent or inequivalent.
TRACY LUPHER, "The Philosophical Significance of Unitarily Inequivalent Representations in Quantum Field Physics.

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