Sentence examples for asserts that if a from inspiring English sources
It asserts that if a country raises taxes and expenditures by the same amount in a time of high unemployment, and if monetary policy is accommodating, the national income grows by exactly the amount of the tax, so that after-tax income is unchanged.
The result asserts that if a Leray-Hopf weak solution θ of (1) is in the Hölder class C δ with δ > 1 − α on the time interval [ 0, t ], then it is actually a classical solution on ( 0, t ].
Another solution consists in keeping closure under expansions while weakening the preservation postulate that asserts that if a belief set K ∈ K is open with respect to a sentence a then the revision goes by expansion.
CS theory asserts that, if a signal has a sparse representation in a certain space, one can use the random sampling to obtain the measurements and successfully reconstruct the signal with overwhelming probability by nonlinear algorithms, as stated in Section 'Signal model'.
The result of Bruck [1] asserts that if a nonexpansive mapping has a fixed point in every nonempty closed convex subset of which is invariant under and if is convex and weakly compact, then, the set of fixed points, is nonexpansive retract of (i.e., there exists a nonexpansive mapping such that ).
The proof is based on an intermediate result that asserts that if A is an operator on a reflexive real Banach space of dimension greater than one, and there exist non-zero vectors, u in the space and v in the dual space, such that {〈Anu, v〉}∞n=0 is a moment sequence of a finite positive Borel measure on a bounded interval on the real line, then A has a nontrivial invariant subspace.
The popular satirical blog Stuff White People Like asserts that "if you find yourself in a situation where a white person is talking about a marathon, you must be impressed or you will lose favor with them immediately".
see Appendix B. Proposition 1 asserts that if all other conditions are equivalent, a user with smaller parameter has a higher priority in being selected than a user j with larger value for his parameter.
The classical Rubio de Francia extrapolation result asserts that if an operator T Lp0 u)→Lp0,∞ u) is bounded for some p0>1 and every u∈Ap0, then, for every 1
In a recent interview on Fox News, Senator Joseph Lieberman threatened to derail health care legislation, asserting that "as a matter of conscience, if proposed Senate legislation includes a public option, I will not allow the bill to come to a final vote".
The classical form of Iversen's theorem asserts that if is an entire holomorphic function of the plane, then there exists a curve tending to infinity such that (6.4).
