A rational function is a function that can be written as the quotient of two polynomial functions. Many real-world problems require us to find the ratio of two polynomial functions. Problems involving rates and concentrations often involve rational functions. A General Note: Rational Fun...
This reduces the running time of some interior point methods for semidefinite programming from O(n^6) to O(n^3) when solving problems involving polynomial nonnegativity constraints.doi:10.7282/T31R6PVRPappDávidDissertations & Theses - Gradworks...
It also covers Fermat’s factorization techniques and methods of solving challenging problems involving exponent and factorials. Chapter Four reviews the Pythagorean triple and quadruple and emphasizes their connection with geometry, trigonometry, algebraic geometry, and stereographic projection. A special ...
Marx and Végh [42] stated that “[...] this technique seems to be an essential tool for kernelization of problems involving costs”. Subsequently, Etscheid et al. [22] and Knop and Koutecký [36] used the technique to prove polynomial kernels for several weighted problems, supporting ...
In an earlier paper [1], the author showed that certain problems involving sparse polynomials and integers are NP-hard. In this paper we show that many related problems are also NP-hard. In addition, we exhibit some new NP-complete problems. Most of the new results concern problems in whic...
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This is obviously a defect for certain analysis work, especially problems involving local functions vanishing outside a short interval. However, one advantage of wavelet analysis is the ability to perform a local analysis. This characteristic of time-frequency localization can overcome the defect and ...
The multiplicity of solutions for elliptic partial differential equations involving polynomial type non-linearity and sign-changing weight functions has been extensively studied in [4], [8], [13], [33], [34] using the Nehari manifold technique. In [10], authors studied the existence of multiple...
Obstacle Problems Involving the Fractional Laplacian. In: Palatucci G, Kuusi T (ed.) Recent Developments in Nonlocal Theory. Warsaw, Poland: De Gruyter Open Poland; 2017. p.81-164. https://doi.org/10.1515/9783110571561-005 Copied to clipboard Copy to clipboard Download: BibTeX EndNote RIS ...