Differential Algebraic Equations [PDF]
AbstractLet H be a Hilbert space and $$\nu \in \mathbb {R}$$ ν ∈ ℝ . We saw in the previous chapter how initial value problems can be formulated within the framework of evolutionary equations.
Christian Seifert +2 more
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Fagnano's method for solving algebraic equations: Its historical overview and development
In 1750, Giulio Carlo Fagnano dei Toschi's treatise “Produzioni matematiche” was published in two volumes. The second volume of the treatise contains a work in which Fagnano proposed a uniform method for solving algebraic equations up to the fourth ...
A.N. Abyzov
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Analytical technique for solving the quadratic nonlinear oscillator
Recently, an approximate solution of the quadratic nonlinear oscillator has been presented based on the harmonic balance method. According to this method a set of nonlinear algebraic equations appear among the unknown coefficients of the several harmonic
Ismot Ara Yeasmin +3 more
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استخدام إستراتيجية " ويتلي" للتعلم المتمرکز حول المشکلة لتنمية التفکير التأملي والقدرة على حل المعادلات والمتباينات الجبرية والاتجاه نحوها لدى تلاميذ المرحلة الإعدادية [PDF]
هدف البحث إلى الکشف عن مدى فاعلية استخدام إستراتيجية " ويتلي" للتعلم المتمرکز حول المشکلة لتنمية التفکير التأملي والقدرة على حل المعادلات والمتباينات الجبرية والاتجاه نحوها لدى تلاميذ الصف الثانى الاعدادي ، وتکونت عينة الدراسة من (60) تلميذا ، (30 ...
عماد شوقي ملقي سيفين
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The Sine-Cosine Wavelet and Its Application in the Optimal Control of Nonlinear Systems with Constraint [PDF]
In this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. The sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations ...
R. Hajmohammadi +2 more
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We show that the Diophantine problem (decidability of equations) is undecidable in free associative algebras over any field and in the group algebras over any field of a wide variety of torsion free groups, including toral relatively hyperbolic groups, right-angled Artin groups, commutative transitive groups, the fundamental groups of various graph ...
Olga Kharlampovich, Alexei G. Myasnikov
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Structure Preprocessing Method for the System of Unclosed Linear Algebraic Equations
The complexity of open linear algebraic equations makes it difficult to obtain analytical solutions, and preprocessing techniques can be applied to coefficient matrices, which has become an effective method to accelerate the convergence of iterative ...
Ling Li, Yongxian Li
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Modeling and Simulation of a Packed Column Batch Still for Fruit Wine Distillations
Batch distillations are extensively used worldwide to produce fruit wine spirits with distinctive aromas. These processes are typically operated manually, based on the experience of the distiller.
Simon Diaz-Quezada +2 more
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Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian [PDF]
It is well known that, one of the useful and rapid methods for a nonlinear system of algebraic equations is Newton’s method. Newton’s method has at least quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution ...
Mohammad Ali Mehrpouya
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Algebraic Cryptanalysis with MRHS Equations
In this work, we survey the existing research in the area of algebraic cryptanalysis based on Multiple Right-Hand Sides (MRHS) equations (MRHS cryptanalysis).
Pavol Zajac
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