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Para-linearity as the Nonassociative Counterpart of Linearity
In an octonionic Hilbert space H , the octonionic inner product induces maps which fail to be octonionic linear. This fact motivates us to introduce a...
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Testing Linearity in Functional Partially Linear Models
For the functional partially linear models including flexible nonparametric part and functional linear part, the estimators of the nonlinear function...
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Burch Index, Summands of Syzygies and Linearity in Resolutions
The Burch index is a new invariant of a local ring R whose positivity implies a kind of linearity in resolutions of R -modules. We show that if R has...
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Recovering affine linearity of functions from their restrictions to affine lines
Motivated by recent results of Tao–Ziegler [ Discrete Anal. 2016] and Greenfeld–Tao (2022 preprint) on concatenating affine-linear functions along...
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Boundary Points, Minimal L2 Integrals and Concavity Property III—Linearity on Riemann Surfaces and Fibrations over Open Riemann Surfaces
In this article, we consider a modified version of minimal L 2 integrals on sublevel sets of plurisubharmonic functions related to modules at boundary...
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Linearity of free resolutions of monomial ideals
We study monomial ideals with linear presentation or partially linear resolution. We give combinatorial characterizations of linear presentation for...
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Bye bye, linearity, bye: quantification of the mean for linear CRNs in a random environment
Molecular reactions within a cell are inherently stochastic, and cells often differ in morphological properties or interact with a heterogeneous...
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Schrödinger equations with combined non-linearity
This paper investigates two class of Schrödinger equations with mixed source terms, containing, respectively, a local/non-local non-linearity and an...
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Componentwise linearity of powers of cover ideals
Let G be a finite simple graph and J ( G ) denote its vertex cover ideal in a polynomial ring over a field. The k -th symbolic power of J ( G ) is denoted...
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Extinction and Non-extinction of Solutions to a Fast Diffusion p-Laplace Equation with Logarithmic Non-linearity
This paper deals with a class of fast diffusion p -Laplace equation with logarithmic non-linearity in a bounded smooth domain with homogeneous...
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Coding and Control for Linear Gaussian Systems: Separation, Optimality and Linearity
In the previous chapter, we obtained the structure of optimal encoders for general stochastic, controlled and control-free, dynamical systems. Due to...
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Generalized Jacobi Elliptic Solutions for the KdV Equation with Dual Power Law Non-Linearity and for the Power Law KdV-Burger Equation with the Source
Within the framework of an improved Jacobi elliptic expansion method, we study the Jacobi elliptic solutions for the Korteweg-de Vries (KdV) equation...
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Random Variables: Linearity and Order
The topic of this book requires us to deal with quantities, such as future payments or prices, whose value is not known in advance. To this effect,...
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Two-Sided Clifford Wavelet Function in Cl(p, q)
Two-sided Clifford wavelet function (CWF) is defined in \(Cl_{(p,q)}\)...