Results 71 to 80 of about 43,507 (166)
Curve Negotiating Using Polar Polynomials for Nonholonomic Vehicles
IFAC Proceedings Volumes, 1999 Abstract What is the best way for a nonholonomic vehicle to negotiate a curve when the purpose is to keep the whole vehicle as distant as possible from both edges of the road? In some situations, maintaining the guidepoint of the vehicle on the reference path represented by the middle of the road is a clearly poor strategy that requires a lot of ...
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Symmetric multilinear forms and polarization of polynomials
Linear Algebra and its Applications, 2009 We study a generalization of the classical correspondence between homogeneous quadratic polynomials, quadratic forms, and symmetric/alternating bilinear forms to forms in $n$ variables. The main tool is combinatorial polarization, and the approach is applicable even when $n!$ is not invertible in the underlying field.
Drápal, Aleš, Vojtěchovský, Petr
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Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem [PDF]
, 2017 Fix an ordinary abelian variety defined over a finite field. The ideal class group of its endomorphism ring acts freely on the set of isogenous varieties with same endomorphism ring, by complex multiplication.
Jetchev, Dimitar, Wesolowski, Benjamin
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On the polar derivative of lacunary type polynomials
Communications Faculty Of Science University of Ankara Series A1Mathematics and StatisticsLet $p(z)=a_nz^n+\sum_{l=\nu}^na_{n-l}z^{n-l}$, where $1\leq \nu \leq n$, be a polynomial of degree $n$ having all its zeros in $|z|\leq k\leq 1$. For polar derivative $D_{\alpha}p(z)$, it is known that for each $|\alpha|\leq 1$ on $|z|=1$, \begin{align*} |D_{\alpha}p(z)|\leq \frac{n}{1+k^{\nu}}\Big\{(|\alpha|+k^{\nu})\|p\|_{\infty}-\frac{1 ...
Ahmad Motamednezhad, Fatemeh Mohammadi
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Restriction theorems for $\mu$-(semi)stable framed sheaves
, 2013 We provide a generalization of Mehta-Ramanathan theorems to framed sheaves: we prove that the restriction of a $\mu$-semistable framed sheaf on a nonsingular projective irreducible variety, of dimension greater or equal than two, to a general ...
Bruzzo +21 more
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Analytical description of high-aperture STED resolution with 0-2$\pi$ vortex phase modulation
, 2013 Stimulated emission depletion (STED) can achieve optical super-resolution, with the optical diffraction limit broken by the suppression on the periphery of the fluorescent focal spot.
Jin, Dayong +4 more
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On Extremal Properties for the Polar Derivative of Polynomials
Analysis in Theory and Applications, 2011 Summary: If \(p(z)\) is a polynomial of degree \(n\) having all its zeros on \(|z|=k\), \(k\leq 1\), then it is known that \[ \max\limits_{|z|=1}|p'(z)|\leq \frac n {k^{n-1}+k^n}\max\limits_{|z|=1}|p(z)|. \] In this paper, we generalize the above inequality by extending it to the polar derivative of a polynomial of the type \(p(z)=c_nz^n +\sum\limits ...
Dewan, K. K., Ahuja, Arty
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Computing endomorphism rings of abelian varieties of dimension two [PDF]
, 2012 Generalizing a method of Sutherland and the author for elliptic curves, we design a subexponential algorithm for computing the endomorphism rings of ordinary abelian varieties of dimension two over finite fields.
Bisson, Gaetan
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Some Inequalities for the Polar Derivative of a Polynomial
Kragujevac Journal of Mathematics, 2003 Summary: Let \(P(z)\) be a polynomial of degree \(n\) which has no zeros in \(|z|
Gulzar, M. H. +2 more
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