Sentence examples for By this proposition from inspiring English sources

By this proposition we can construct the noncolliding RW, Ξ, as an h-transform of an absorbing RW, V, in (mathbb {W}_{N}).

By this proposition, a solution of system (25) reduces to a solution of the system of the form (25), where B has the Jordan normal form.

I know I'm not the only one baffled by this proposition; after all, it's legal drugs that have become our country's biggest problem -- prescription painkillers now cause more deaths than heroin and cocaine combined.

In 1961, Warhol was offered a three-man show by Allan Stone at the latter's 18 East 82nd Street Gallery with Rosenquist and Robert Indiana, but all three were insulted by this proposition.

By applying this proposition (n-1) times to different pairs of orthogonal directions and recalling (4.19) we find a set (widetilde{E}), with (|widetilde{E}|=|B|) such that begin{aligned} alpha (E) le C_0^{n-1} alpha (tilde{E}), quad D tilde{E}) le 2^{n-1} D(E).

By following this proposition and defining the closely linked markers as being less than 5 cM apart, 407 markers on the consensus map (19.8%) were identified as having skewed segregation in one or more of the component populations, covering 34% of the consensus map length.

In the tendentious formulation offered by Justice Clarence Thomas, "government-sponsored racial discrimination based on benign prejudice is just as noxious as discrimination inspired by malicious prejudice". This proposition is breathtaking: Affirmative action is "just as noxious as" whites-only schools and juries, blacks forced to the back of the bus, and criminal bans on interracial marriage.

This paper explores this proposition by considering two recent projects by the small Australian practice, OOF! Architecture.