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This paper presents a new algorithm for computing the Hermite form of a polynomial matrix. Given a nonsingular <i>n</i> x <i>n</i> matrix <i>A</i> filled with degree <i>d</i> polynomials with coefficients from a field, the algorithm computes the Hermite form of <i>A</i> using an expected number of (<i>n</i>3<i>d</i>)<sup>1+o(1)</sup> field operations. This(More)
Abstract: The wheel graph is the join of a single vertex and a cycle, while the fan graph is the join of a single vertex and a path. The resistance distance between any two vertices of a wheel and a fan are obtained. The resistances are related to Fibonacci numbers and generalized Fibonacci numbers. The derivation is based on evaluating determinants of(More)
Online controlled experiments (e.g., A/B tests) are now regularly used to guide product development and accelerate innovation in software. Product ideas are evaluated as scientific hypotheses, and tested on web sites, mobile applications, desktop applications, services, and operating system features. One of the key challenges for organizations that run(More)
The Internet provides developers of connected software, including web sites, applications, and devices, an unprecedented opportunity to accelerate innovation by evaluating ideas quickly and accurately using controlled experiments, also known as A/B tests. From front-end user-interface changes to backend algorithms, from search engines (e.g., Google, Bing,(More)
Online controlled experiments (e.g., A/B tests) are now regularly used to guide product development and accelerate innovation in software. Product ideas are evaluated as scientific hypotheses, and tested in web sites, mobile applications, desktop applications, services, and operating systems. One of the key challenges for organizations that run controlled(More)
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