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Exploring the exact solutions to the nonlinear systems with neural networks method. [PDF]
Sci RepMuhammad J +3 more
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The Capacity Gains of Gaussian Channels with Unstable Versus Stable Autoregressive Noise. [PDF]
Entropy (Basel)Charalambous CD +3 more
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Spin-Qubit Noise Spectroscopy of Magnetic Berezinskii-Kosterlitz-Thouless Physics. [PDF]
Nano LettPotts M, Zhang S.
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Planar chemical reaction systems with algebraic and non-algebraic limit cycles. [PDF]
J Math BiolCraciun G, Erban R.
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Generalized analysis of dynamic pull-in for singular magMEMS and MEMS oscillators. [PDF]
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The “golden” algebraic equations
Chaos, Solitons & Fractals, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stakhov, A., Rozin, B.
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Roots of algebraic equations and Clifford algebra
Advances in Applied Clifford Algebras, 1999The author investigates roots of real polynomials inside the real two-dimensional Clifford algebra with generator \(\varepsilon\), \(\varepsilon^2=1\), calling the elements of this algebra hyperbolic. The corresponding numbers of real and hyperbolic roots of a polynomial are calculated.
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Solvable nonlinear algebraic equations
Inverse Problems, 1990Summary: We introduce classes of nonlinear algebraic equations as concrete realisations of algebraic structures underlying the integrability of well known systems like the Korteweg-de Vries and the Burgers equations. These algebraic equations share with their differential analogues the basic features of integrability and therefore are examples of ...
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On Approximation of Equations by Algebraic Equations
Journal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis, 1964Some years ago D. I. Muller [1] developed a method for the solution of algebraic equations, approximating them by quadratic equations. The method proved extremely efficient in many tests. However, the theoretical discussion given by Muller can hardly be considered as adequate, in my opinion, as his convergence proof culminates in a vicious circle (cf ...
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1987
Many important problems in science and engineering require the solution of systems of simultaneous linear equations of the form $$\begin{gathered} a_{11} x_1 + a_{12} x_2 + \cdots + a_{1n} x_n = b_1 \hfill \\ a_{21} x_1 + a_{22} x_2 + \cdots + a_{2n} x_n = b_2 \hfill \\ \,\,\,\,.\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,.\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,
Ian Jacques, Colin Judd
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Many important problems in science and engineering require the solution of systems of simultaneous linear equations of the form $$\begin{gathered} a_{11} x_1 + a_{12} x_2 + \cdots + a_{1n} x_n = b_1 \hfill \\ a_{21} x_1 + a_{22} x_2 + \cdots + a_{2n} x_n = b_2 \hfill \\ \,\,\,\,.\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,.\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,
Ian Jacques, Colin Judd
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