Results 101 to 110 of about 1,565,058 (384)
Discrete fractional calculus with the nabla operator
Electronic Journal of Qualitative Theory of Differential Equations, 2009 Properties of discrete fractional calculus in the sense of a backward difference are introduced and developed. Exponential laws and a product rule are developed and relations to the forward fractional calculus are explored.
F. M. Atici, Paul Eloe
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Discrete Laplacian Operator and Its Applications in Signal Processing
IEEE Access, 2020 Fractional calculus has increased in popularity in recent years, as the number of its applications in different fields has increased. Compared to the traditional operations in calculus (integration and differentiation) which are uniquely defined, the ...
Waseem Waheed, Guang Deng, Bo Liu
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A Symmetric Lambda-Calculus Corresponding to the Negation-Free Bilateral Natural Deduction [PDF]
arXiv, 2021 Filinski constructed a symmetric lambda-calculus consisting of expressions and continuations which are symmetric, and functions which have duality. In his calculus, functions can be encoded to expressions and continuations using primitive operators.
arxiv
A Lipschitz estimate for Berezin’s operator calculus
, 2004 F. A. Berezin introduced a general symbol calculus for linear operators on reproducing kernel Hilbert spaces. For the particular Hilbert space of Gaussian square-integrable entire functions on complex n-space, C n , we obtain Lipschitz estimates for the ...
L. Coburn
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Molecular Oncology, EarlyView.Chronic TGF‐β exposure drives epithelial HCC cells from a senescent state to a TGF‐β resistant mesenchymal phenotype. This transition is characterized by the loss of Smad3‐mediated signaling, escape from senescence, enhanced invasiveness and metastatic potential, and upregulation of key resistance modulators such as MARK1 and GRM8, ultimately promoting
Minenur Kalyoncu +11 more
wiley +1 more source
The Bang Calculus and the Two Girard's Translations [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We study the two Girard's translations of intuitionistic implication into linear logic by exploiting the bang calculus, a paradigmatic functional language with an explicit box-operator that allows both call-by-name and call-by-value lambda-calculi to be ...
Giulio Guerrieri, Giulio Manzonetto
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Singular Green Operators of Finite Regularity in the Edge Algebra Formalism [PDF]
arXiv, 2018 We introduce a calculus for parameter-dependent singular Green operators on the half-space $\mathbb{R}^n_+$ that combines both elements of Grubb's calculus for boundary value problems of finite regularity and techniques of Schulze's calculus for pseudodifferential operators on manifolds with edges.
arxiv
Molecular Oncology, EarlyView.We identified adaptor protein ShcD as upregulated in triple‐negative breast cancer and found its expression to be correlated with reduced patient survival and increased invasion in cell models. Using a proteomic screen, we identified novel ShcD binding partners involved in EGFR signaling pathways.
Hayley R. Lau +11 more
wiley +1 more source
The unbounded extension of Hille-Phillips functional calculus [PDF]
arXiv, 2019 The extension of Hille-Phillips functional calculus of semigroup generators which leads to unbounded operators is given. Connections of this calculus to Bochner-Phillips functional calculus are indicated, and several examples are considered.
arxiv
Operator Calculus in Quantized Field Theory
, 1952 Following the suggestion of Feynman, we analyze the operators corresponding to the el~tron. positron field by means of the operator calculus: Thus we can deduce operationally Feynman's theory from the second quantized theory. With the aid of the external
K. Yamazaki
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