Sentence examples for equivalent definition from inspiring English sources

Phrasal equivalence: one entry is related to an entry with an alternative but equivalent definition for the concept (hasEquivalentDefinition).

The full program of arithmetization, based on a different but equivalent definition of real number, is mainly due to Weierstrass in the 1870s.

A new but equivalent definition for Nye's dislocation tensor, a measure of GND density, is proposed, based on the integrated properties of dislocation lines within a volume.

Thirdly, based on the relative position model and location description matrices, the equivalent definition of relationships of two feature groups is given which is the basis to calculate the similarity of two sheet metal parts.

An equivalent definition reads as follows.

The following equivalent definition for local uniform Opial condition holds.

Several equivalent definitions of anticommutativity for selfadjoint operators are presented.

To specify and evaluate a method for auditing medical terminological systems (TSs) based on detecting concepts with equivalent definitions.

Rami Grossberg and Sebastien Vasey, Equivalent definitions of superstability in tame abstract elementary classes, The Journal of Symbolic Logic 82 (2017), no. 4, 1387 1408.

In this paper, we firstly propose the concept of multi-scale attribute significance, and, in the sense of binary classification, another two equivalent definitions are given.

With a more general setting of fuzzy relational algebraic operators, some properties of the operators are investigated including equivalent definitions and transformation rules of the operators.