SetsMotivated by their intrinsic interest and by applications to the study of numeric palindromes and other sequences of integers, we discover infinite sets of solutions and almost solutions of the equation N?⋅?M=reversal (N?⋅M). Most of our results are valid in a general numeration ...
Cite this lesson In trigonometry, equations have an infinite number of solutions. In this lesson, review the period, explore sine, cosine, and tangent, and work through examples to understand the different ways that trigonometric equations can be solved. Trigonometric...
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The main difficulty in obtaining the solutions lies in the fact that the solution has to satisfy the equilibrium equation of the plate in the whole domain of the plate, and simultaneously satisfy of the boundary conditions along all the edges. In the case of Navier, the simply supported plate...
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This paper cites examples to indicate that there isn't necessarily ∫+∞a f(x)dx as for the infinite integral of convergence lim x→+∞ f(x)=0. It discusses under what conditions there is certainly ∫+∞a f(x)dx as for the infinite integral of convergence lim x→+∞ f(x)=0, an...
For example, as we shall see in Chapter 5, it is often possible to develop a method to approximate the value of an equation. In this case, one would acknowledge that the method is not intended to deliver the exact numerical value by using the symbol ≃. The practical use of this ...
We study the fractal dimension of the global attractor generated by a multivalued reaction-diffusion equation for which there is no uniqueness of solutions... J Valero - 《Acta Mathematica Hungarica》 被引量: 25发表: 2000年 Infinite-dimensional exponential attractors for nonlinear reaction-diffusion ...
In recent years, professional epistemologists have been reduced to quibbling over "Gettier problems" - clever sophistical examples and counterexamples that defeat the reasoned justifications for true beliefs. Following some unpublished work of Gregory O'Hair, David Armstrong identifies and diagrams severa...
Accurate solutions of M-matrix Sylvester equations This paper is concerned with a relative perturbation theory and its entrywise relatively accurate numerical solutions of an M-matrix Sylvester equation AX... J Xue,S Xu,RC Li - 《Numerische Mathematik》 被引量: 31发表: 2011年 An Integration-Imp...