Zobrazeno 1 - 10
of 90 371
pro vyhledávání: '"Linear transformations"'
Autor:
Martinez-Avendaño, Ruben A.
If a real-valued function is continuous on a real interval and it takes on two different values, then it will also take any value in between those two, by the Intermediate Value Theorem. It is not immediately clear what would be a natural generalizat
Externí odkaz:
http://arxiv.org/abs/2411.03323
Spatio-temporal dynamics of the evolution of population involving growth and diffusion processes can be modeled by class of partial diffusion equations (PDEs) known as reaction-diffusion systems. In this work, we developed a nonlinear transformations
Externí odkaz:
http://arxiv.org/abs/2412.09653
Autor:
Sangkhanan, Kritsada
Let $V$ be a vector space and $U$ a fixed subspace of $V$. We denote the semigroup of all linear transformations on $V$ under composition of functions by $L(V)$. In this paper, we study the semigroup of all linear transformations on $V$ whose restric
Externí odkaz:
http://arxiv.org/abs/2404.02224
Autor:
Opazo, Leonardo Dinamarca
For each natural number $n$, we consider the subgroup $\mathcal{R}_n$ of Homeo$_+[0,1]$ made by the elements that are linear except for a subset whose Cantor-Bendixson rank is less than or equal to $n$. These groups of generalized piecewise-linear tr
Externí odkaz:
http://arxiv.org/abs/2406.13723
Autor:
Wang, Kai, White, Simon J. U., Szameit, Alexander, Sukhorukov, Andrey A., Solntsev, Alexander S.
Publikováno v:
Phys. Rev. Research 6, 043076 (2024)
Studying quantum correlations in the presence of loss is of critical importance for the physical modeling of real quantum systems. Here, we demonstrate the control of spatial correlations between entangled photons in a photonic chip, designed and mod
Externí odkaz:
http://arxiv.org/abs/2404.06056
Autor:
Li, Chi-Kwong, Lin, Jephian C. -H.
Let $\mathbb{F}$ be a field, and let $C$ be the $n\times n$ companion matrix of the monic polynomial $f(x)\in \mathbb{F}[x]$ such that $f(x) = \det(xI-C) = (x - \lambda_1)^{n_1} \cdots (x - \lambda_m)^{n_m}$ for $m$ distinct elements $\lambda_1, \dot
Externí odkaz:
http://arxiv.org/abs/2403.01474
Autor:
Wootters, William K.
Publikováno v:
Int. J. Quantum Inf. 22, 2440014 (2024)
For the continuous Wigner function and for certain discrete Wigner functions, permuting the values of the Wigner function in accordance with a symplectic linear transformation is equivalent to performing a certain unitary transformation on the state.
Externí odkaz:
http://arxiv.org/abs/2402.09922
Linear principal component analysis (PCA) learns (semi-)orthogonal transformations by orienting the axes to maximize variance. Consequently, it can only identify orthogonal axes whose variances are clearly distinct, but it cannot identify the subsets
Externí odkaz:
http://arxiv.org/abs/2311.13580