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by virtue of the [[binomial theorem]]. Taking the limit <math>N \rightarrow \infty</m ...

with this potential can be found by virtue of the substitution <math>u=\mathrm{tanh(x)}</math>, which yields ...

...ntics for disjunction, <math>A \lor B</math> can hold at a world simply in virtue of <math>A</math> being true there, meaning that the most similar <math>A \ ...

...rangle</math> falls into one class of three variable simple polynomials by virtue of the joint single cancellation axiom. ...

...se mode|mode]] that is confined to the cladding of an [[optical fiber]] by virtue of the fact that the cladding has a higher [[refractive index]] than the su ...

...to stay on a [[flux surface]]. All [[tokamak]]s are exactly omnigenous by virtue of their [[Rotational symmetry|axisymmetry]],<ref>{{Cite web |last=Landrema ...

* <math>\eta=1</math>: by virtue of [[l'Hôpital's rule]], the limit of <math>u(c)</math> is <math>\ln c</mat ...

and by virtue of stretching, rotating and Gram-Schmidt orthogonalization the Lyapunov exp ...

...-7803-4256-9| citeseerx = 10.1.1.392.7405| s2cid = 5667586}}</ref> By the virtue of this theorem a large QP problem can be broken down into a series of smal ...

...obability in terms of only conditional probabilities.<ref>{{Cite web |last=Virtue |first=Pat |title=10-606: Mathematical Foundations for Machine Learning |ur ...

...oxidases", Current Opinion in Chemical Biology, 1998, 2, 279-285.</ref> By virtue of this family of enzymes, a variety of brominated natural products have be ...

...m then it is likely to stand out against the background of non-key data by virtue of its high entropy and an attacker needs to only test for matching keys in ...

By virtue of the well-known theorem on [[reduction of the structure group|structure g ...

...o types of functional groups A and B undergo step growth polymerisation by virtue of a reaction between A and B groups, a similar analytical results are know ...

...t will relax into the Jacobi ellipsoid provided it can dissipate energy by virtue of a viscous constituent fluid.]] ...

...chance event. The name is an [[eponym]] that refers to [[John Sulston]] by virtue of his being the lead author of the paper that first proposed the equation' ...

:''She who hates virtue makes a throne for dishonor;'' *[[Charity (virtue)|Charity]] ...

</ref> By virtue of the well-known theorem, there exists one-to-one correspondence between t ...

where the <math>x</math>-component is zero by virtue of symmetry. Thus, the centroid can be expressed as one-half the ratio of t ...

Finally, by virtue of the equality <math>(\mathrm{Ad}P)\overrightarrow{\mathrm{exp}}\int_0^tV_ ...