Sentence examples for definition of extended from inspiring English sources

By the definition of extended factors, each extended factor may contain no more than ℓ black positions; so none of the extended factors can extend past the next segment N i +1.

We first recall here the definition of extended fractional derivative operator.

As noted by Mitchell (2008), a specific definition of extended working hours does not exist because there are so many options available for forest harvesting operations.

end{aligned} (22) Applying the definition of extended beta function, and after some simplification, we get the desired result as follows: begin{aligned} mathbb{D}^{v;[p]_{q}}_{z} bigl{ z^{lambda -frac{3}{2}} f z) bigr} = frac{z ^{lambda -v-2} }{ -vma { -v)}} sum_{n=0}^{infty } a_{n} B_{p,q}( lambda +n,-v) z^{n}, end{aligned} (23) which completes the proof.

Applying the definition of extended beta function, and after some simplification, we get the desired result as follows: begin{aligned}& mathbb{D}^{v;[p]_{q}}_{z} bigl{ z^{lambda -frac{3}{2}} log z f z) bigr} & quad = sum_{n=0}^{infty } z^{lambda +n-v-2} bigl{ a_{n} log (z) B_{p,q}(lambda +n,-v) + b_{n} B_{p,q}(lambda +n,-v+1) bigr}, end{aligned} (26) which completes the proof.

By the definition of extended factors, each black position initially generates z+1 extended factors; z including the current black position and one that does not.

Under the existing law, Indiana cannot create legislation that infringes on a person's religious beliefs – with the definition of person extended to include businesses, associations and other organizations.

Many students and faculty members, she said, were unaware that the definition of homelessness extended beyond living on the street.

The Delhi high court ruling pertains only to Hindu Undivided Families, India's legal definition of an extended family living in the same household.

If the definition of shrinkage extended beyond the first year, 46 additional patients (7·7percentnt of all those eligible) would have been classified as having either moderate or major shrinkage.

To comply, some restaurants that emphasize local products also use a broad definition of "local," extending to Maine and Maryland.