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The starting point in the theory of differential inequalities for polynomials is the book "Investigation of aqueous solutions by specific gravity" by D. I. Mendeleev. In this work, he dealt not only with chemical, but also mathematical problems.
E. G. Kompaneets, L. G. Zybina
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The approximate degree of a Boolean function $f(x_{1},x_{2},\ldots,x_{n})$ is the minimum degree of a real polynomial that approximates $f$ pointwise within $1/3$. Upper bounds on approximate degree have a variety of applications in learning theory, differential privacy, and algorithm design in general.
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Broadband angle of arrival estimation methods in a polynomial matrix decomposition framework [PDF]
A large family of broadband angle of arrival estimation algorithms are based on the coherent signal subspace (CSS) method, whereby focussing matrices appropriately align covariance matrices across narrowband frequency bins.
Mohamed Alrmah +9 more
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Polynomial Distributions and Transformations
Polynomials are common algebraic structures, which are often used to approximate functions, such as probability distributions. This paper proposes to directly define polynomial distributions in order to describe stochastic properties of systems rather ...
Yue Yu, Pavel Loskot
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Self-reciprocal polynomials and coterm polynomials [PDF]
We classify all self-reciprocal polynomials arising from reversed Dickson polynomials over $\mathbb{Z}$ and $\mathbb{F}_p$, where $p$ is prime. As a consequence, we also obtain coterm polynomials arising from reversed Dickson polynomials.
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Polynomial Trajectory Planning for Aggressive Quadrotor Flight in Dense Indoor Environments
We explore the challenges of planning trajectories for quadrotors through cluttered indoor environments. We extend the existing work on polynomial trajectory generation by presenting a method of jointly optimizing polynomial path segments in an ...
Charles Richter, Adam Bry, N. Roy
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Isomorphisms of algebras of symmetric functions on spaces $\ell_p$
The work is devoted to the study of algebras of entire symmetric functions on some Banach spaces of sequences. A function on a vector space is called symmetric with respect to some fixed group $G$ of operators acting on this space, or $G$-symmetric, if ...
T. V. Vasylyshyn
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The polynomial and the Poisson measurement error models: some further results on quasi score and corrected score estimation [PDF]
The asymptotic covariance matrices of the corrected score, the quasi score, and the simple score estimators of a polynomial measurement error model have been derived in the literature.
Schneeweiß, Hans
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Polynomial invariants are polynomial
AMSLaTeX+epic.sty+eepic.sty, 7 ...
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In this paper, we study polynomial norms, i.e. norms that are the $d^{\text{th}}$ root of a degree-$d$ homogeneous polynomial $f$. We first show that a necessary and sufficient condition for $f^{1/d}$ to be a norm is for $f$ to be strictly convex, or equivalently, convex and positive definite.
Amir Ali Ahmadi +2 more
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