Point-Curve Incidences in the Complex Plane
Sign Up to like & getrecommendations! Published in 2018 at "Combinatorica"
DOI: 10.1007/s00493-016-3441-7
Abstract: We prove an incidence theorem for points and curves in the complex plane. Given a set of m points in ℝ2 and a set of n curves with k degrees of freedom, Pach and Sharir… read more here.
Keywords: geometry; complex plane; curve incidences; point curve ... See more keywords
Solving F(z + 1) = bF(z) in the complex plane
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-017-9524-1
Abstract: The generalized tetration, defined by the equation F(z+1) = bF(z) in the complex plane with F(0) = 1, is considered for any b > e1/e. By comparing other solutions to Kneser’s solution, natural conditions are… read more here.
Keywords: equation; complex plane; plane; solving complex ... See more keywords
Comparing the basins of attraction for several methods in the circular Sitnikov problem with spheroid primaries
Sign Up to like & getrecommendations! Published in 2018 at "Astrophysics and Space Science"
DOI: 10.1007/s10509-018-3337-7
Abstract: The circular Sitnikov problem, where the two primary bodies are prolate or oblate spheroids, is numerically investigated. In particular, the basins of convergence on the complex plane are revealed by using a large collection of… read more here.
Keywords: complex plane; sitnikov problem; basins attraction; circular sitnikov ... See more keywords
Dressed energy of the XXZ chain in the complex plane
Sign Up to like & getrecommendations! Published in 2021 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-021-01473-3
Abstract: We consider the dressed energy $$\varepsilon $$ ε of the XXZ chain in the massless antiferromagnetic parameter regime at $$0< \Delta < 1$$ 0 < Δ < 1 and at finite magnetic field. This function… read more here.
Keywords: xxz chain; dressed energy; complex plane; energy ... See more keywords
Solving Two-Dimensional Nonlinear Fredholm Integral Equations Using Rationalized Haar Functions in the Complex Plane
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-019-0631-1
Abstract: As far as we are aware, no research has been published about two-dimensional integral equations in the complex plane by using Haar bases or any other kinds of wavelets. We introduce a numerical method to… read more here.
Keywords: integral equations; fredholm integral; equations using; complex plane ... See more keywords
Equivalence of the global and local Markov inequalities in the complex plane
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.01.027
Abstract: Abstract We prove that a compact subset of the complex plane satisfies the Global Markov Inequality if and only if it admits an extension property and a Kolmogorov type inequality in Jackson norms, generalizing a… read more here.
Keywords: inequality; equivalence; local markov; complex plane ... See more keywords
q-coherent states associated with the noncommutative complex plane Cq2 for the Biedenharn–Macfarlane q-oscillator
Sign Up to like & getrecommendations! Published in 2017 at "Annals of Physics"
DOI: 10.1016/j.aop.2017.09.012
Abstract: Abstract The q -coherent states associated with the noncommutative complex plane C q 2 for the Biedenharn–Macfarlane q -oscillator are constructed by using a q -generalization of the Glauber’s unitary displacement operator. The q -deformed… read more here.
Keywords: noncommutative complex; oscillator; complex plane; associated noncommutative ... See more keywords
Some Comprehensive Inequalities Consisting of Mittag-Leffler Type Functions in the Complex Plane
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Modelling of Natural Phenomena"
DOI: 10.1051/mmnp/201712306
Abstract: Inequalities involving Mittag-Leffler functions play important roles in themselves and in their diverse applications. Many inequalities involving Mittag-Leffler functions have been established by a number of authors in many different ways. In this paper by… read more here.
Keywords: leffler type; leffler; mittag leffler; complex plane ... See more keywords
Solving of nonlinear Fredholm integro-differential equation in a complex plane with rationalized Haar wavelet bases
Sign Up to like & getrecommendations! Published in 2019 at "Asian-European Journal of Mathematics"
DOI: 10.1142/s1793557119500554
Abstract: Everyone knows about the complicated solution of the nonlinear Fredholm integro-differential equation in general. Hence, often, authors attempt to obtain the approximate solution. In this paper, a numerical method for the solutions of the nonlinear… read more here.
Keywords: fredholm integro; integro differential; differential equation; complex plane ... See more keywords
Selection of Working Frequencies in Complex Plane Motion of Saws within a Woodcutting System
Sign Up to like & getrecommendations! Published in 2019 at "Russian Engineering Research"
DOI: 10.3103/s1068798x19100071
Abstract: Abstract—A woodcutting system based on complex plane motion (translation + rotation) of the saw blades is promising in principle but proves unstable in practice. This may be addressed by selecting working frequencies of the saws… read more here.
Keywords: system; woodcutting system; plane motion; complex plane ... See more keywords
Extending Quantum Probability from Real Axis to Complex Plane
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DOI: 10.3390/e23020210
Abstract: Probability is an important question in the ontological interpretation of quantum mechanics. It has been discussed in some trajectory interpretations such as Bohmian mechanics and stochastic mechanics. New questions arise when the probability domain extends… read more here.
Keywords: quantum probability; complex plane; probability; mechanics ... See more keywords