Results 71 to 80 of about 24,793 (234)
A simple construction of complex equiangular lines
, 2015 A set of vectors of equal norm in $\mathbb{C}^d$ represents equiangular lines if the magnitudes of the inner product of every pair of distinct vectors in the set are equal.
A.J. Scott +9 more
core +1 more source
Advanced Intelligent Systems, EarlyView.The newly developed AI‐automated Fast Fourier Transform denoising algorithm surpasses conventional real‐space methods by revealing even light atoms otherwise hidden in noisy backgrounds. Atomic resolution electron microscopy has become an essential tool for many scientific fields, when direct visualization of atomic arrangements and defects is needed ...
Ivan Pinto‐Huguet +8 more
wiley +1 more source
Zhejiang Daxue xuebao. Lixue ban, 2014 Based on the general theory of matrix and some properties of (k,h)-Fibonacci and (k,h)-Lucas numbers，the upper and lower bounds for the spectral norms of r-circulant matrices and are given.
SHENShouqiang(沈守强) +1 more
doaj +1 more source
Real eigenvalues of non-Gaussian random matrices and their products
, 2015 We study the properties of the eigenvalues of real random matrices and their products. It is known that when the matrix elements are Gaussian-distributed independent random variables, the fraction of real eigenvalues tends to unity as the number of ...
Hameed, Sajna +2 more
core +1 more source
Entanglement of A Qubit‐Qutrit System: Impact of Ohmic Noise
Advanced Physics Research, EarlyView.The dynamics of quantum correlations in a hybrid qubit–qutrit system subjected to an Ohmic noisy environment are investigated in this study. The significance of open quantum systems and the rationale behind researching decoherence effects on hybrid quantum architectures are discussed in the introduction. The system Hamiltonian, the interaction with the
Polislin Fabrice Wonang +5 more
wiley +1 more source
On Hadamard and Kronecker products in covariance structures for genotype × environment interaction
The Plant Genome, 2020 When including genotype × environment interactions (G × E) in genomic prediction models, Hadamard or Kronecker products have been used to model the covariance structure of interactions.
Johannes W. R. Martini +3 more
doaj +1 more source
An algorithm for discrete fractional Hadamard transform
, 2015 We present a novel algorithm for calculating the discrete fractional Hadamard transform for data vectors whose size N is a power of two. A direct method for calculation of the discrete fractional Hadamard transform requires $N^2$ multiplications, while ...
Cariow, Aleksandr +1 more
core +1 more source
, 2009 Louis W. Shapiro gave a combinatorial proof of a bilinear generating function for Chebyshev polynomials equivalent to the formula 1/(1-ax-x^2) * 1/(1-bx-x^2) = (1-x^2)/(1-abx-(2+a^2+b^2)x^2 -abx^3+x^4), where * denotes the Hadamard product. In a similar way, by considering tilings of a 2 by n rectangle with 1 by 1 and 1 by 2 bricks in the top row, and ...
openaire +3 more sources
Relativity and Hadamard products
, 2023 A key feature of Hadamard products is used to simplify relativistic matrix derivations.
openaire +1 more source
A goodness‐of‐fit test for regression models with discrete outcomes
Canadian Journal of Statistics, EarlyView.Abstract Regression models are often used to analyze discrete outcomes, but classical goodness‐of‐fit tests such as those based on the deviance or Pearson's statistic can be misleading or have little power in this context. To address this issue, we propose a new test, inspired by the work of Czado et al.
Lu Yang +2 more
wiley +1 more source