Results 51 to 60 of about 115,613,181 (224)
Pracì Mìžnarodnogo Geometričnogo CentruIn this work, we develop a rigorous framework partially unifying classical electromagnetism and relativistic quantum mechanics through the language of Schwartz Linear Algebra and via continuous symmetries of the 2-sphere.
David Carfì
doaj +1 more source
Canadian Journal of Statistics, EarlyView.Abstract Homogeneous normalized random measures with independent increments represent a broad class of Bayesian nonparametric priors and thus are widely used. In this article, we obtain the strong law of large numbers, the central limit theorem (CLT), and the functional central limit theorem (fCLT) of such measures when the concentration parameter a ...
Junxi Zhang, Shui Feng, Yaozhong Hu
wiley +1 more source
Quantum Computational Complexity of Matrix Functions
PRX QuantumWe investigate the dividing line between classical and quantum computational power in estimating properties of matrix functions. More precisely, we study the computational complexity of two primitive problems: given a function f and a Hermitian matrix A,
Santiago Cifuentes +4 more
doaj +1 more source
Data selection: at the interface of PDE-based inverse problem and randomized linear algebra
All inverse problems rely on data to recover unknown parameters, yet not all data are equally informative. This raises the central question of data selection. A distinctive challenge in PDE-based inverse problems is their inherently infinite-dimensional nature: both the parameter space and the design space are infinite, which greatly complicates the ...
Kathrin Hellmuth +3 more
openaire +2 more sources
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
On tau functions associated with linear systems [PDF]
, 2012 \noindent {\bf Abstract} This paper considers the Fredholm determinant $\det (I-\Gamma_x)$ of a Hankel integral operator on $L^2(0, \infty )$ with kernel $\phi (s+t+2x)$, where $\phi$ is a matrix scattering function.
Newsham, Samantha, Blower, Gordon
core +4 more sources
A note on the convexity of the Moore–Penrose inverse [PDF]
, 2018 This note is a sequel to an earlier study (Nordström [7]) on convexity properties of the inverse and Moore–Penrose inverse, in which the following question was raised.
Kenneth, Nordström, Nordström, Kenneth
core +1 more source
Immersed Boundary Projection Method for Boundaries With Slip Velocities
International Journal for Numerical Methods in Fluids, EarlyView.A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
wiley +1 more source
The Inverse and General Inverse of Trapezoidal Fuzzy Numbers with Modified Elementary Row Operations
MathematicsTrapezoidal positive/negative fuzzy numbers have no single definition; instead, various authors define them in relation to different concepts. This means that arithmetic operations for trapezoidal fuzzy numbers also differ. For the operations of addition,
Mashadi +5 more
doaj +1 more source
Statistical inference for inverse problems [PDF]
In this paper we study statistical inference for certain inverse problems. We go beyond mere estimation purposes and review and develop the construction of confidence intervals and confidence bands in some inverse problems, including deconvolution and ...
Bissantz, Nicolai, Holzmann, Hajo
core