Sentence examples for implies under from inspiring English sources
In particular this implies, under suitable assumptions, the existence of conditional densities for certain functionals of a given stochastic process.
We can also avoid approximating A and B in the proof of Theorems 4.1 and 4.2 by using the linear (L^p) regularity theory, ([7], Chapter 9), which implies, under our smoothness hypotheses on A and B, that a (C^{2,alpha }) solution of (1.1)–(1.2) lies in the Sobolev space (W^{4,p}_{mathrm{{loc}}}(Omega )), for any (p
This implies, under the assumption of strict H+ coupling for both substrate types that substantially separate transport mechanisms have evolved within the same protein.
Green shading implies under-representation, while yellow shading implies over-representation.
When we have unique estimates for the structural parameters, the equations are said exactly identified; multiple estimates imply over-identification; no estimates imply under-identification.
The same logic, applied to the results for colorectal cancer, implies that under-registration would need to be 20% to explain the difference in one year survival and 10% to explain the difference in five year survival (data not shown).
The scale of the decarbonization challenge implied under the UK Climate Change Act is huge.
Latte learned that he was a Jew -- with everything that implied under the Third Reich -- more or less by mistake in high school in Breslau (now Wroclaw, Poland).
Goldsmith implied under the cloak of parliamentary privilege that a former cabinet minister, immediately identified on social media as Brittan, had been photographed in a compromising position with a young boy.
These laws are now the subject of a high court challenge, where Unions NSW and several others are arguing that they are unconstitutional for breaching the freedom of political communication implied under the Commonwealth constitution.
As was mentioned before, almost all empirical and conceptual research on CTO issue automatically imply under this post a set of various managerial positions that are united by a close relationship with the technological aspects of management.
