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One of the fruitful generalizations of this kind was given by Branciari in 2000 [1] who replaced the triangular inequality by a more general one, which was later usually called a rectangular or a quadrilateral inequality.
The classes of almost monotonic functions satisfying such integral conditions were later studied in a number of papers, see [19 21] and references therein, where the characterization of integral inequalities of such a kind was given in terms of certain lower and upper indices known as Matuszewska-Orlicz indices.
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The British Association for Cancer Research BACRR) Tom Connors Award Lecture "Close Encounters of a Molecular Kind" was given by Malcolm Stevens (University of Nottingham, UK).
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The electrocapillary curves of the first and second kind are given for platinum in solutions of different composition.
and the Stirling numbers of the second kind are given by ( e t − 1 ) n = n !
A candelabrum of the latter kind is given in the preceding woodcut (Mus. Borb. IV pl. 59).
and the Stirling number of the second kind is given by the generating function to be ( e t − 1 ) m = m !
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.
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).
The Stirling number of the first kind is given by ( x ) n = x ( x − 1 ) ⋯ ( x − n + 1 ) = ∑ l = 0 n S 1 ( n, l ) x l. (10).
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