منابع مشابه
Gelfand Pairs and Spherical Functions
This is a summary of the lectures delivered on Special Functions and Linear Representation of Lie Groups at the NSF-CBMS Research Conference at East Carolina University in March 5-9, 1979. The entire lectures will be published by the American Mathematical Society as a conference monograph in Mathematics.
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This paper investigates the learning algorithm of neural network on the spherical cap. Firstly, we construct the inner weights and biases from sample data, such that the network has the interpolation property on the sampling points. Secondly, we construct the BP network and BP learning algorithm. Finally, we analyze the generalization ability for the constructed networks and give the numerical ...
متن کاملON COMMUTATIVE GELFAND RINGS
A ring is called a Gelfand ring (pm ring ) if each prime ideal is contained in a unique maximal ideal. For a Gelfand ring R with Jacobson radical zero, we show that the following are equivalent: (1) R is Artinian; (2) R is Noetherian; (3) R has a finite Goldie dimension; (4) Every maximal ideal is generated by an idempotent; (5) Max (R) is finite. We also give the following resu1ts:an ideal...
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Basaltic activity is the most common class of volcanism on Earth, characterized by magmas 12 of sufficiently low viscosities such that bubbles can move independently of the melt. Following 13 exsolution, spherical bubbles can then expand and/or coalesce to generate larger bubbles of 14 spherical-cap or Taylor bubble (slug) morphologies. Puffing and strombolian explosive activity are 15 driven b...
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where R = D/2 is the radius of the cap, ρ and ν are the density and kinematic viscosity of the liquid, σ is surface tension, r(θ) = R(1 + sθ) and s = r ′′(0)/D is the deviation of the free surface from perfect sphericity r(θ) = R near the stagnation point θ = 0. The bubble nose is more pointed when s < 0 and blunted when s > 0. A more pointed bubble increases the rise velocity; the blunter bubb...
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ژورنال
عنوان ژورنال: Journal of Elliptic and Parabolic Equations
سال: 2020
ISSN: 2296-9020,2296-9039
DOI: 10.1007/s41808-020-00091-9