Results 81 to 90 of about 281,189 (325)
Polynomials—Unifying or Fragmenting High School Mathematics?
Education SciencesThis paper presents research on the origin, scope, evolution, and rationale of knowledge about polynomials in high school mathematics. Within the framework of the Anthropological Theory of the Didactic, Croatian high school curricula and textbooks were ...
Jelena Pleština +2 more
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The colored Jones polynomial and the A-polynomial of Knots
Advances in Mathematics, 2006 We study relationships between the colored Jones polynomial and the A-polynomial of a knot. We establish for a large class of 2-bridge knots the AJ conjecture (of Garoufalidis) that relates the colored Jones polynomial and the A-polynomial. Along the way we also calculate the Kauffman bracket skein module of all 2-bridge knots.
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On Eisenstein polynomials and zeta polynomials II [PDF]
International Journal of Number Theory, 2019 Eisenstein polynomials, which were defined by the second author, are analogues to the concept of an Eisenstein series. The second author conjectured that there exist some analogous properties between Eisenstein series and Eisenstein polynomials. In the previous paper, the first author provided new analogous properties of Eisenstein polynomials and ...
Miezaki, Tsuyoshi, Oura, Manabu
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Characteristic polynomials of complex random matrix models [PDF]
, 2002 We calculate the expectation value of an arbitrary product of characteristic polynomials of complex random matrices and their hermitian conjugates. Using the technique of orthogonal polynomials in the complex plane our result can be written in terms of
Akemann, G +3 more
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Arthritis Care &Research, EarlyView.Objective This study aimed to investigate hand function trajectories over five years in primary hand osteoarthritis (OA). Additionally, determinants of baseline and longitudinal hand function were assessed. Methods A total of 538 patients with both baseline and five‐year study visits were analyzed.
Annemiek V. E. M. Olde Meule +4 more
wiley +1 more source
Journal of Symbolic Computation, 2000 Let \(Q(x,y) = \sum_{i=0}^n a_ix^i y^{n-i}\) be a binary form of degree~\(n\) with real or complex coefficients \(a_i\). Classical invariant theory deals with the invariants of binary forms under the action of SL\(_2\). The article under review takes a different point of view.
Irina Berchenko, Peter J. Olver
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Polynomially Bounded Sequences and Polynomial Sequences [PDF]
Formalized Mathematics, 2015 Abstract In this article, we formalize polynomially bounded sequences that plays an important role in computational complexity theory. Class P is a fundamental computational complexity class that contains all polynomial-time decision problems [11], [12].
Hiroyuki Okazaki, Yuichi Futa
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Arthritis Care &Research, EarlyView.Objective Obesity, defined by body mass index (BMI) ≥30 kg/m2, is a risk factor for functional limitations in people with knee osteoarthritis (OA). However, function varies among such individuals. Our objective was to evaluate the implications of obesity subtypes on longitudinal patterns of physical functioning in people with or at risk for knee OA ...
Kristine Godziuk +7 more
wiley +1 more source
IET Microwaves, Antennas & Propagation, 2021 A new approach for using polynomial chaos‐based expansion finite‐difference time‐domain (PCE‐FDTD) is presented to calculate the uncertainty of electromagnetic wave propagation in dispersive materials.
Jiangfan Liu, Huiping Li, Xiaoli Xi
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Discordance Between Patient and Physician Global Assessments in Early Systemic Sclerosis
Arthritis Care &Research, EarlyView.Objective This study aims to identify factors associated with patient global assessment (PtGA) and physician global assessment (PhGA) and discordance between them in systemic sclerosis (SSc). Methods Data from adults with early SSc (<5 years) from the Collaborative National Quality and Efficacy Registry were included.
Ellen Romich +35 more
wiley +1 more source