Results 61 to 70 of about 1,970,212 (332)
Generalized Trigonometric Functions [PDF]
Mathematics of Computation, 1964 is also that of all functions of the form (1 + x2)-2N-c+lQ(x) where Q is a polynomial of degree 4N 2 or lower, the conditions determining the above formula for any a and N are the same as those determining Harper's formula for (using "k" and "n" in the meaning given them in [1]) k = a + 2N -2, n = 2N.
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FEBS Letters, EarlyView.Knowing how proteases recognise preferred substrates facilitates matching proteases to applications. The S1′ pocket of protease EA1 directs cleavage to the N‐terminal side of hydrophobic residues, particularly leucine. The S1′ pocket of thermolysin differs from EA's at only one position (leucine in place of phenylalanine), which decreases cleavage ...
Grant R. Broomfield +3 more
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Discrete generalized functions
Journal of Mathematical Analysis and Applications, 1972 A mapping from the Gaussian integers into the complex numbers is called a discrete function. Duffin [I] has studied properties of discrete functions. In his study, Duffin makes use of certain types of operators which we will call Duffin operators. More precisely, an operator F mapping the collection il of all discrete functions into itself is a Duffin ...
E.L Perry, Charles R Deeter
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On generating functions of Hausdorff moment sequences [PDF]
, 2014 The class of generating functions for completely monotone sequences (moments of finite positive measures on $[0,1]$) has an elegant characterization as the class of Pick functions analytic and positive on $(-\infty,1)$. We establish this and another such
Liu, Jian-Guo, Pego, Robert L.
core
Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells
FEBS Letters, EarlyView.Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan +2 more
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Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials
Universal Journal of Mathematics and Applications, 2018 We investigate the $(p,q)-$Fibonacci and Lucas octonion polynomials. The main purpose of this paper is using of some properties of the $(p,q)-$ Fibonacci and Lucas polynomials. Also for present some results involving these octonion polynomials, we obtain
Arzu Özkoç Öztürk, Ayhan Porsuk
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A Note on Bi-Orthogonal Polynomials and Functions
Fluids, 2020 The theory of orthogonal polynomials is well established and detailed, covering a wide field of interesting results, as, in particular, for solving certain differential equations.
Clemente Cesarano
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On positive generalized functionals
Journal of Functional Analysis, 1987 Given a Gaussian space (\({\mathcal N}^*,{\mathcal B},d\mu)\), where \({\mathcal N}^*\) is the dual of a real nuclear space \({\mathcal N}\), B its topological \(\sigma\)-algebra and \(d\mu\) a Gaussian measure on \({\mathcal B}\), we construct spaces of test functionals on \({\mathcal N}^*\) as follows.
Jürgen Potthoff, Jürgen Potthoff
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Theta functions and Hodge numbers of moduli spaces of sheaves on rational surfaces
, 1998 Let (S,H) be a rational algebraic surface with an ample divisor. We compute generating functions for the Hodge numbers of the moduli spaces of H-stable rank 2 sheaves on S in terms of certain theta functions for indefinite lattices that were introduced ...
Goettsche, Lothar
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FEBS Letters, EarlyView.C‐mannosylation is a unique form of protein glycosylation. In this study, we demonstrated that ADAMTS1 is C‐mannosylated at Trp562 and Trp565 in human testicular germ cell tumor NEC8 cells. We found that C‐mannosylation of ADAMTS1 is essential for its secretion, processing, enzymatic activity, and ability to promote vasculogenic mimicry. These findings
Takato Kobayashi +5 more
wiley +1 more source