Results 71 to 80 of about 203,888 (281)
Journal of Inequalities and Applications, 2009 Based on the theory of calculus on time scales, the homeomorphism theory, Lyapunov functional method, and some analysis techniques, sufficient conditions are obtained for the existence, uniqueness, and global exponential stability of the equilibrium ...
Yongkun Li, Yuchun Hua, Yu Fei
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Enabling quaternion derivatives: the generalized HR calculus [PDF]
Royal Society Open Science, 2015 Quaternion derivatives exist only for a very restricted class of analytic (regular) functions; however, in many applications, functions of interest are real-valued and hence not analytic, a typical case being the standard real mean square error objective
Dongpo Xu +3 more
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FEBS Letters, EarlyView.This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel +13 more
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pH‐mediated activation of the lysosomal arginine sensor SLC38A9
FEBS Letters, EarlyView.Cells monitor nutrient levels via the lysosomal transporter SLC38A9 to activate the mechanistic target of rapamycin complex 1 (mTORC1). This study reveals that SLC38A9 function is regulated by pH. We identified histidine 544 as a critical pH sensor that undergoes conformational changes to control amino acid efflux from lysosomes; therefore, it ...
Xuelang Mu, Ampon Sae Her, Tamir Gonen
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Logical Calculus Using Fuzzy Formulas
Наука и техника, 2005 The paper considers a functionally closed multi-valued calculus with conditional formulas F = {a|b} such that F s a when b = true; F = false when a = false and F = uncertainty in all other cases. A measure function for fuzzy conditional formulas has been
O. V. German, A. A. Linnik
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Linear Algebra and its Applications, 1973 AbstractThe subject is explicit formulas for f(A), where A is a complex matrix and f a function. For well-known reasons, we may assume (as long as only finitely many matrices are in consideration as arguments at once) that each function f considered is a polynomial.
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Molecular Oncology, EarlyView.ERRFI1, a neural crest (NC)‐associated gene, was upregulated in melanoma and negatively correlated with the expression of melanocytic differentiation markers and the susceptibility of melanoma cells toward BRAF inhibitors (BRAFi). Knocking down ERRFI1 significantly increased the sensitivity of melanoma cells to BRAFi.
Nina Wang +8 more
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, 2015 Functional It\^o calculus was introduced in order to expand a functional $F(t, X\_{\cdot+t}, X\_t)$ depending on time $t$, past and present values of the process $X$.
Cosso, Andrea, Russo, Francesco
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On functional calculus estimates
, 2015 This thesis presents various results within the field of operator theory that are formulated in estimates for functional calculi. Functional calculus is the general concept of defining operators of the form $f(A)$, where f is a function and $A$ is an operator, typically on a Banach space. Norm estimates for $f(A)$ emerge in applications naturally, e.g.,
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, 2023 We develop an elementary formalism of functional calculus for entire holomorphic functions in the setting of Clausen and Scholze's $p$-liquid vector spaces.
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