Results 81 to 90 of about 10,135,412 (297)
NBC Complexes of Convex Geometries [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 We introduce a notion of a $\textit{broken circuit}$ and an $\textit{NBC complex}$ for an (abstract) convex geometry. Based on these definitions, we shall show the analogues of the Whitney-Rota's formula and Brylawski's decomposition theorem for broken ...
Kenji Kashiwabara, Masataka Nakamura
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The characteristic polynomial of the Adams operators on graded connected Hopf algebras [PDF]
, 2014 The Adams operators $\Psi_n$ on a Hopf algebra $H$ are the convolution powers of the identity of $H$. We study the Adams operators when $H$ is graded connected. They are also called Hopf powers or Sweedler powers.
M. Aguiar, A. Lauve
semanticscholar +1 more source
Faster algorithms for the characteristic polynomial [PDF]
Proceedings of the 2007 international symposium on Symbolic and algebraic computation, 2007 A new randomized algorithm is presented for computing the characteristic polynomial of an n x n matrix over a field. Over a suffciently large field the asymptotic expected complexity of the algorithm is O(nθ)field operations, improving by a factor of log n on the worst case complexity of Keller-Gehrig's algorithm [11].
Clément Pernet, Arne Storjohann
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Bi‐ and Mono‐Allelic RFC1 Expansion in a North American Cohort With Idiopathic Axonal Neuropathy
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective RFC1 biallelic repeat expansion is increasingly recognized as a cause of chronic idiopathic axonal polyneuropathy (CIAP), but it remains challenging to know who to test. This study aims to determine the prevalence of biallelic and monoallelic RFC1 expansions and their corresponding neuropathy phenotypes in CIAP patients and identify ...
Amro M. Stino +25 more
wiley +1 more source
Diffusion in the space of complex Hermitian matrices - microscopic properties of the averaged characteristic polynomial and the averaged inverse characteristic polynomial [PDF]
, 2014 We show that the averaged characteristic polynomial and the averaged inverse characteristic polynomial, associated with Hermitian matrices whose elements perform a random walk in the space of complex numbers, satisfy certain partial differential ...
J. Blaizot +3 more
semanticscholar +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Building on our prior Behavioral Risk Factor Surveillance System analysis identifying adults aged 18–39 as the primary driver of the national increase in self‐reported cognitive disability, we examined factors associated with this rise using 2013–2024 U.S. BRFSS data. Methods We analyzed U.S.
Adam de Havenon +9 more
wiley +1 more source
Square Roots of Real 3 × 3 Matrices vs. Quartic Polynomials with Real Zeros
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 There is an interesting analogy between the description of the real square roots of 3×3 matrices and the zeros of the (depressed) real quartic polynomials.
Anghel Nicolae
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Fast algorithms for the characteristics polynomial
Theoretical Computer Science, 1985 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Long‐Term Neurologic Exam Findings in People Diagnosed and Treated During Acute HIV Infection
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Evaluate clinical and laboratory correlates of abnormal neurologic exam findings after acute HIV infection (AHI). Methods Participants from the RV254/SEARCH 010 cohort in Bangkok underwent standardized neurologic examinations at Weeks 0 (AHI), 12, 96, and 288 following antiretroviral therapy (ART).
Kathryn B. Holroyd +118 more
wiley +1 more source
On Characteristic Polynomials of Subspace Arrangements
Journal of Combinatorial Theory, Series A, 2000 Let \(V\) be a vector space over a field or division ring, and let \(\mathcal A\) be an arrangement of affine subspaces in \(V\). Let \(L({\mathcal A})\) be the set of nonempty intersections of subspaces in \(\mathcal A\), partially ordered by inclusion. The characteristic polynomial of \(\mathcal A\) is defined by \[ \chi({\mathcal A},q)=\sum_{X\in L}
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