Sentence examples for which asserts for from inspiring English sources

In particular, it turns out that AGEM can be simplified by replacing any of the Unrestricted Sum postulates in (P.15i) with the more perspicuous which asserts, for any non-empty set of entities, the existence of a sumi composed exactly of all the atoms that compose those entities.

Frege was able to explain most mathematical notions with the help of his comprehension scheme, which asserts that, for every ϕ (formula or statement), there should exist a set X such that, for all x, x ∊ X if and only if ϕ(x) is true.

This is a special case of the generalized continuum hypothesis (GCH) which asserts that for all α ≥ ω, 2ℵα = ℵα+1.

We note here that by a change of variables a k → a k 1 / p in (1.1) and on letting p → +∞, one obtains the following well-known Carleman's inequality [8], which asserts that for convergent infinite series ∑a n with non-negative terms, one has ∑ n = 1 ∞ ( ∏ k = 1 n a k ) 1 n ≤ e ∑ n = 1 ∞ a n, with the constant e being best possible.

It is not a welcome prospect for groups like the Australian Society for Kangaroos, which asserts that besides being unfit for human consumption, the animals are in danger of being hunted to extinction.

This would be detrimental not only to the resulting Nigerian administration but also to the credibility of the American government, which asserts that it hopes for true democracy in Nigeria and the region.

Her house has an independent aliveness which asserts itself amid order - for she is an independent champion of order.

The strident documentary "2016: Obama's America" (co-directed with John Sullivan) builds on Mr. D'Souza's 2010 cover article for Forbes, which asserts that Mr. Obama pursues his father's left-leaning, "anticolonial" ideals.

The circumplex model of affect is the dominant model for emotions which asserts that emotions are governed by two underlying variables: valence and arousal[16, 17].

The Pauli Exclusion Principle, which asserts that it is impossible for two electrons to occupy the same quantum state, would prevent an electron with positive energy from falling into a negative- energy state.

labels it either "ludicrous" (for the strong panpsychism which asserts that everything has full fledged consciousness) or "empty" (for the weak panpsychism which asserts only that everything has at least some kind of proto-mentality).