Results 231 to 240 of about 8,297,419 (289)

Phase‐Retrieval Algebraic Solution Based on Window Modulation

Annals of Physics, 2018
Phase retrieval is to recover the object amplitude and phase from the diffraction patterns. Here, an algebraic method is presented to solve the phase retrieval problems of arbitrary 2D complex‐valued objects, without the requirements of numerous ...
Jianhui Huang, Huiliang Jin, Q. Ye, Guoxiang Meng   +3 more
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Classifying algebraic invariants and algebraically invariant solutions

Chaos, Solitons & Fractals, 2020
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Algebraic solutions of algebraic differential equations

Applied Mathematics-A Journal of Chinese Universities, 2005
The author gives a condition under which a second-order algebraic differential equation has an algebraic solution. Let \(a_0\dots, a_p\), \(b_0,\dots, q\) be nonzero entire functions of one variable such that they have a finite number of poles and without common zero, and consider the following equation: \[ (w'')^n= \Biggl(\sum^p_{i=0} a_i(z) w^i\Biggr)
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Algebraic Solutions for the Asymmetric Rotor

Annals of Physics, 1999
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Pan, Feng, Draayer, J. P.
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Multiparameter Perturbation Solution of Algebraic Equations

Journal of Applied Mechanics, 1966
The classical perturbation method—the expansion of a solution of an algebraic equation as a power series in a parameter—is extended to an expansion in several parameters. An example concerning the Timoshenko beam equation is used to illustrate the ideas. Advantages of the procedure are discussed in the light of this example.
Ames, W. F., Sontowski, J. F.
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Solutions of Linear Differential Algebraic Equations

SIAM Review, 1998
Summary: The authors show how to solve inhomogeneous linear differential algebraic systems with constant coefficients.
Shirvani, Mazi, So, Joseph W.-H.
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Solution of algebraic equations

Mathematics and Computers in Simulation, 1986
This paper shows the application of the decomposition method [the author, Nonlinear stochastic operator equations (1986; Zbl 0609.60072)].
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Analytic Solutions of Algebraic Differential Equations

SIAM Journal on Mathematical Analysis, 1979
For special polynomials $f_2 (w)$, $f_1 (w)$, $f_0 (w)$ in w with analytic coefficients, the equation $f_2 (w)w'^2 + f_1 (w)w' + f_0 (w) = 0$ has appeared many times in the literature. Frequently, the equation is irreducible, $\deg f_2 = 0$, $\deg f_1 \leqq 2$, $\deg f_0 \leqq 4$, and either $4f_2 f_0 - f_1^2 $ has a multiple root or its degree is ...
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An Algebraic Solution for the Communalities

Psychometrika, 1948
Factorial analysis begins with an n × n correlation matrix R, whose principal diagonal entries are unknown. If the common test space of the battery is under investigation, the communality of each test is entered in the appropriate diagonal cell. This value is the portion of the test's variance shared with others in the battery.
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Algebraic classification of ℂP n instanton solutions

Letters in Mathematical Physics, 1981
The finite condition for two-dimensional ℂP n models is discussed noting that one can impose boundary conditions such that the domain of the field is a compact Riemann surface Sg. Holomorphic maps φ: S g →ℂP n give finite energy solutions of the classical field equations, which are classified according to standard methods of algebraic geometry.
Catenacci, R., Reina, Cesare
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