Results 131 to 140 of about 978,477 (364)

Artificial intelligence‐assisted design, synthesis and analysis of smart biomaterials

open access: yesBMEMat, EarlyView.
Smart biomaterials are rapidly emerging as tools for tissue engineering, and artificial intelligence has played essential roles in biomaterial studies. By bridging the literature gap in AI‐based design, synthesis and analysis of smart biomaterials, the current review shares perspectives on how biomaterial scientists can practically incorporate AI for ...
Pengfei Jiang   +9 more
wiley   +1 more source

Orthonormal aberration decomposition for circular aperture and rectangular field with extension to multiple-aperture systems

open access: yesAIP Advances
A new set of orthogonal polynomials and the traditional Zernike polynomials are combined to construct the wavefront of the sparse aperture (SA) optical system.
Baohua Chen   +5 more
doaj   +1 more source

Sobolev orthogonal polynomials on a simplex

open access: yes, 2011
The Jacobi polynomials on the simplex are orthogonal polynomials with respect to the weight function $W_\bg(x) = x_1^{\g_1} ... x_d^{\g_d} (1- |x|)^{\g_{d+1}}$ when all $\g_i > -1$ and they are eigenfunctions of a second order partial differential ...
Aktas, Rabia, Xu, Yuan
core  

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun   +2 more
wiley   +1 more source

Orthogonal Polynomials and Related Special Functions Applied in Geosciences and Engineering Computations

open access: yesCommunications, 2010
In applications of mathematics involving either the Laplace or the Helmholtz equation in spherical coordinates the associated Legendre equation occurs. Its solutions are called associated Legendre functions. They have some relations to classical Legendre
Vladimir Guldan, Mariana Marcokova
doaj   +1 more source

A Robust Handwritten Numeral Recognition Using Hybrid Orthogonal Polynomials and Moments. [PDF]

open access: yesSensors (Basel), 2021
Abdulhussain SH   +5 more
europepmc   +1 more source

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