Results 51 to 60 of about 15,174 (140)
Molecular Oncology, EarlyView.This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani +14 more
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Oscillations in Higher-Order Neutral Differential Equations
Canadian Journal of Mathematics, 1993 AbstractConsider the n-th order (n ≥ 1 ) neutral differential equation where σ1 < σ 2 < ∞ and μ and η are increasing real-valued functions on [Ƭ1, Ƭ2] and [σ1, σ2] respectively. The function μ is assumed to be not constant on [Ƭ1, Ƭ2] and [Ƭ1, Ƭ2] for every Ƭ ∈ (Ƭ1, Ƭ2) similarly, for each σ ∈ (σ1, σ2), it is supposed that r\ is not constant on
Philos, C. G. +2 more
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Truncated and higher order differentials [PDF]
, 1995 In [6] higher order derivatives of discrete functions were considered and the concept of higher order differentials was introduced. We introduce the concept of truncated differentials and present attacks on ciphers presumably secure against differential attacks, but vulnerable to attacks using higher order and truncated differentials.
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Higher-Order Distributions for Differential Linear Logic [PDF]
, 2019 Abstract Linear Logic was introduced as the computational counterpart of the algebraic notion of linearity. Differential Linear Logic refines Linear Logic with a proof-theoretical interpretation of the geometrical process of differentiation. In this article, we construct a polarized model of Differential Linear Logic satisfying computational ...
Kerjean, Marie, Lemay, Jean-Simon
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Higher order numerical differentiation on the Infinity Computer [PDF]
Optimization Letters, 2010 There exist many applications where it is necessary to approximate numerically derivatives of a function which is given by a computer procedure. In particular, all the fields of optimization have a special interest in such a kind of information. In this paper, a new way to do this is presented for a new kind of a computer -- the Infinity Computer ...
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Oscillations of Higher Order Neutral Differential Equations
Rocky Mountain Journal of Mathematics, 1995 Consider linear neutral differential equations of odd order in the form \[ [x(t)- P(t) x(t-\tau)]^{(n)}+ Q(t) x(t-\sigma(t))= 0,\tag{1} \] where \(n\geq 1\), \(\tau> 0\), \(P\), \(Q\), \(\sigma\in C([t_0, \infty),\mathbb{R}^+)\) and \(\lim_{t\to \infty} (t- \sigma(t))= \infty\).
Zhang, B.G., Yu, J.S., Wang, Z.C.
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Nonoscillation of higher order functional differential equations
Journal of Mathematical Analysis and Applications, 1983 The objective of this paper is to obtain sufficient conditions for all solutions of the forced higher order nonlinear functional differential equation \((a(t)x')^{(n-1)}+f(x(g(t)))=r(t)\) to be nonoscillatory. For this purpose, the asymptotic behavior of oscillatory solutions is discussed. The main results refer to nonlinearities of the type \(| f(x)| \
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The theory of higher order M-adic differentials
Journal of Algebra, 1974 AbstractIn [1], Mount and Villamayor define the module of n-order differentials of a coefficient ring R over a subring K. This module is denoted Dn(RK) and is useful in classifying singularities of morphisms of algebraic varieties. D1(RK) is the universal object for K-derivations of R. Mount and Villamayor define a generalization of K-derivation called
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Long-term trends in mortality by living arrangements and the role of socioeconomic factors, Finland 1991-2020. [PDF]
Eur J Public HealthSuulamo UK +3 more
europepmc +1 more source