Sentence examples for kind given by from inspiring English sources

where Ai is the Airy function of the first kind given by Ai = 1 π ∫ 0 ∞ cos ( t 3 3 + ξ t ) d t. (1.5).

Note that ( 1 + λ t ) 1 / λ tends to e t as λ → 0. So we have β n ( 0 ) = B n. Furthermore, we know that λ − m β m tends to m ! b n as λ → + ∞, where b n is the Bernoulli number of the second kind given by t log ( 1 + t ) = ∑ n = 0 ∞ b n t n.

The award recognizes "outstanding partnerships that make a significant contribution toward the restoration and protection of our Nation's coastal and marine environment" and is the only environmental award of its kind given by the White House.

The growing in-kind giving by airlines and other companies helped offset a 3.6 percent decline in overall giving in 2009, according to GivingUSA, which tracks philanthropy.

Not the counterfeit kind given to him by Chinese smugglers known as snakeheads before they put him on a plane to the United States.

It is of the kind given to each state by the federal government in 1950 to encourage the purchase of savings bonds.

Judy Downey, chair of the Relatives and Residents Association, which represents care home residents, said: "We do consider that voluntary CCTV use could have its place, but it's no substitute for good and kind care given by professionally trained staff who are well supported and supervised and well led".

and the Stirling numbers of the second kind are given by ( e t − 1 ) n = n !

For (rin 0,1)), Legendre's complete elliptic integral [27] of the second kind is given by mathcal{E}(r)= int_{0}^{pi/2}sqrt{1-r^{2}sin ^{2}(t)},dt.

and the Stirling number of the second kind is given by the generating function to be ( e t − 1 ) m = m !

Unsigned Stirling numbers of the first kind are given by x n ̲ = x ( x + 1 ) ⋯ ( x + n − 1 ) = ∑ l = 0 n | S 1 ( n, l ) | x l. (1.5).