Results 51 to 60 of about 94,783 (262)

A Cross‐Cultural and Developmental Investigation of the Association Between Color and Temperature

Color Research &Application, EarlyView.
ABSTRACT The perception of colors involves many contexts in which human beings develop connections. Colors and temperatures are seemingly unrelated concepts, yet our brains have created ways of linking them. According to the literature, primarily from Western cultures, colors such as red and yellow are typically associated with warmth, whereas blue is ...
Ndeye Meissa Koura Sow, Kitirochna Rattanakasamsuk, Yulia A. Griber, Chanida Saksirikosol, Chanprapha Phuangsuwan, Mina Shamohammadi, Kazumitsu Maehara, Chihiro Hiramatsu   +7 more
wiley   +1 more source

A Selberg integral for the Lie algebra A_n

, 2007
A new q-binomial theorem for Macdonald polynomials is employed to prove an A_n analogue of the celebrated Selberg integral. This confirms the g=A_n case of a conjecture by Mukhin and Varchenko concerning the existence of a Selberg integral for every ...
A Lascoux, A Selberg, A Varchenko, A Varchenko, A Varchenko, CF Dunkl, E Mukhin, EM Opdam, EM Opdam, FG Garvan, G Gasper, GE Andrews, IG Macdonald, IG Macdonald, J Kaneko, J Kaneko, J Thomae, K Aomoto, K Mimachi, KWJ Kadell, L Euler, ML Mehta, PI Etingof, PJ Forrester, R Askey, RP Stanley, S. Ole Warnaar, SO Warnaar, TH Baker, V Tarasov, VV Schechtman   +30 more
core   +1 more source

The q-binomial theorem and spectral symmetry

Indagationes Mathematicae, 1993
If \(T_ 1\) and \(T_ 2\) are complex matrices such that \(T_ 2T_ 1=qT_ 1T_ 2\), then we have the binomial expansion \((T_ 1+T_ 2)^ n=\sum^ n_{k=0}\alpha_{n,k}(q)T^ k_ 1T^{n-k}_ 2\), where \(\alpha_{n,k}(q)\) are polynomials in \(q\) satisfying some properties.
Rejendra Bhatia, Rejendra Bhatia, Ludwig Elsner, Ludwig Elsner   +3 more
openaire   +2 more sources

Sharper Sub-Weibull Concentrations

Mathematics, 2022
Constant-specified and exponential concentration inequalities play an essential role in the finite-sample theory of machine learning and high-dimensional statistics area. We obtain sharper and constants-specified concentration inequalities for the sum of
Huiming Zhang, Haoyu Wei
doaj   +1 more source

Randomly sparsified Richardson iteration: A dimension‐independent sparse linear solver

Communications on Pure and Applied Mathematics, EarlyView.
Abstract Recently, a class of algorithms combining classical fixed‐point iterations with repeated random sparsification of approximate solution vectors has been successfully applied to eigenproblems with matrices as large as 10108×10108$10^{108} \times 10^{108}$. So far, a complete mathematical explanation for this success has proven elusive.
Jonathan Weare, Robert J. Webber
wiley   +1 more source

Asymptotic Properties for a General Class of Szász–Mirakjan–Durrmeyer Operators

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a general family of Szász–Mirakjan–Durrmeyer type operators depending on an integer parameter j∈ℤ$$ j\in \mathbb{Z} $$. They can be viewed as a generalization of the Szász–Mirakjan–Durrmeyer operators, Phillips operators, and corresponding Kantorovich modifications of higher order.
Ulrich Abel, Ana‐Maria Acu, Margareta Heilmann, Ioan Rasa   +3 more
wiley   +1 more source

On compound operators depending on s parameters

Journal of Numerical Analysis and Approximation Theory, 2004
In this note we introduce a compound operator depending on \(s\) parameters using binomial sequences. We compute the values of this operator on the test functions, we give a convergence theorem and a representation of the remainder in the ...
Maria Crăciun
doaj   +2 more sources

Characteristic Curves for Multiple‐Inspector Sampling Plans with Inspection Errors

Quality and Reliability Engineering International, EarlyView.
ABSTRACT Classical single sampling plans (SSPs) are designed assuming that product units sampled from a lot are inspected by one inspector, in the absence or presence of inspection errors. The scenario becomes more complicated when SSPs are applied assuming that multiple inspectors operate in parallel on the same sample, as occasionally required in ...
Domenico A. Maisano, Lucrezia Ferrara, Fiorenzo Franceschini   +2 more
wiley   +1 more source

Polynomial sequences of binomial-type arising in graph theory [PDF]

, 2012
In this paper, we show that the solution to a large class of "tiling" problems is given by a polynomial sequence of binomial type. More specifically, we show that the number of ways to place a fixed set of polyominos on an $n\times n$ toroidal chessboard
Schneider, Jon
core  

Statistical Complexity of Quantum Learning

Advanced Quantum Technologies, EarlyView.
The statistical performance of quantum learning is investigated as a function of the number of training data N$N$, and of the number of copies available for each quantum state in the training and testing data sets, respectively S$S$ and V$V$. Indeed, the biggest difference in quantum learning comes from the destructive nature of quantum measurements ...
Leonardo Banchi, Jason Luke Pereira, Sharu Theresa Jose, Osvaldo Simeone   +3 more
wiley   +1 more source