Sentence examples for equivalent provided from inspiring English sources

As usual, such a preorder defines an equivalence relation (in our setting, we call it right equivalence) by saying that f, f ′ are right equivalent provided we have both f ⪯ f ′ and f ′ ⪯ f, and it induces a poset relation ≤ on the set [ → Y 〉 of right equivalence classes of homomorphisms ending in Y.

Spend time in German Wikipedia, and you find jazz musicians like Thelonious Monk with articles far longer than those written in their own language; you may also come upon odd areas of deep interest, like "pecherei," the extraction of resin from trees — no English equivalent provided — and 15 different tools needed for the job.

The free-energy and the force analyses are numerically equivalent, provided Young's equation is valid.

The two problems (19) and (20) are equivalent provided that the underlying graph is strongly connected [20].

However, the two notions are equivalent provided the sequence {S n }n∈ℕis equicontinuous when the domains of definitions are identical.

The optimization theory asserts that problems (BP ε ) and (QP λ ) are equivalent provided that the parameters ε and λ satisfy certain relationship [17].

4. Each full-time physician (or equivalent) provides 1,344 h of consultation time per year.

Nevertheless, the release rate of the drug was equivalent, providing over 95% release within 5 min.

Subproperties and logical constructs, such as inverse, symmetric, transitive, disjunct and equivalent, provide inference capability based on the first-order predicate logic.

This value was obtained by defining the two methods as sufficiently equivalent providing the discordance rate was not more than 7%%.

While there is no single operational boundary of what constitutes the rehabilitation health workforce, the mapping of data and information to ISCO (or its national equivalent) provides a coherent framework for workforce categorization [ 21].