Results 11 to 20 of about 2,550,362 (221)
Semi-algebraic Ramsey numbers [PDF]
Journal of Combinatorial Theory, Series B, 2016 Given a finite point set $P \subset \mathbb{R}^d$, a $k$-ary semi-algebraic relation $E$ on $P$ is the set of $k$-tuples of points in $P$, which is determined by a finite number of polynomial equations and inequalities in $kd$ real variables. The description complexity of such a relation is at most $t$ if the number of polynomials and their degrees are
Suk, Andrew
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Convert between neutrosophic complex numbers forms [PDF]
Neutrosophic Sets and Systems, 2023 Complex numbers have been studied in previous papers, but the papers did not deal with the conversion from algebraic form of a neutrosophic complex number form to exponential or trigonometric form and vice versa, and this prompted us to search for a ...
Yaser Ahmad Alhasan +2 more
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On multiplicatively dependent vectors of algebraic numbers [PDF]
, 2016 In this paper, we give several asymptotic formulas for the number of multiplicatively dependent vectors of algebraic numbers of fixed degree, or within a fixed number field, and bounded height.
F. Pappalardi +3 more
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Multiplicative dependence of the translations of algebraic numbers [PDF]
Revista matemática iberoamericana, 2016 In this paper, we first prove that given pairwise distinct algebraic numbers α 1 ,…,α n , the numbers α1+t,…,αn+tare multiplicatively independent for all sufficiently large integers t. Then, for a pair (a,b) of distinct integers, we study how many pairs (
A. Dubickas, M. Sha
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Counting algebraic numbers in short intervals with rational points
Журнал Белорусского государственного университета: Математика, информатика, 2019 In 2012 it was proved that real algebraic numbers follow a nonuniform but regular distribution, where the respective definitions go back to H. Weyl (1916) and A. Baker and W. Schmidt (1970).
Vasily I. Bernik +2 more
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Multiplicative dependence of cubic algebraic numbers
Lietuvos Matematikos Rinkinys, 2017 We provide an infinite family of cubic algebraic integers α such that the set {α + x | x ∈ Z} is multiplicatively dependent.
Paulius Drungilas, Linas Klimavičius
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An Introduction to The Split-Complex Symbolic 2-Plithogenic Numbers [PDF]
Neutrosophic Sets and Systems, 2023 The objective of this paper is to combine split-complex numbers with symbolic 2-plithogenic numbers in one algebraic structure called split-complex symbolic 2-plithogenic real numbers.
Rama Asad Nadweh +2 more
doaj
On Leonardo Pisano Hybrinomials
Mathematics, 2021 A generalization of complex, dual, and hyperbolic numbers has recently been defined as hybrid numbers. In this study, using the Leonardo Pisano numbers and hybrid numbers we investigate Leonardo Pisano polynomials and hybrinomials.
Ferhat Kürüz +2 more
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Slicing the stars: counting algebraic numbers, integers, and units by degree and height [PDF]
, 2016 Masser and Vaaler have given an asymptotic formula for the number of algebraic numbers of given degree $d$ and increasing height. This problem was solved by counting lattice points (which correspond to minimal polynomials over $\mathbb{Z}$) in a ...
R. Grizzard, J. Gunther
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On the computational complexity of algebraic numbers: the Hartmanis-Stearns problem revisited [PDF]
Transactions of the American Mathematical Society, 2016 We consider the complexity of integer base expansions of algebraic irrational numbers from a computational point of view. We show that the Hartmanis--Stearns problem can be solved in a satisfactory way for the class of multistack machines.
B. Adamczewski +2 more
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