Results 1 to 10 of about 13,311 (201)

Centered Polygonal Lacunary Sequences

open access: yesMathematics, 2019
Lacunary functions based on centered polygonal numbers have interesting features which are distinct from general lacunary functions. These features include rotational symmetry of the modulus of the functions and a notion of polished level sets.
Keith Sullivan   +2 more
doaj   +3 more sources

Rotationally Symmetric Lacunary Functions and Products of Centered Polygonal Lacunary Functions

open access: yesFractal and Fractional, 2020
This work builds upon previous studies of centered polygonal lacunary functions by presenting proofs of theorems showing how rotational and dihedral mirror symmetry manifest in these lacunary functions at the modulus level.
L. K. Mork   +3 more
doaj   +3 more sources

Taming the Natural Boundary of Centered Polygonal Lacunary Functions—Restriction to the Symmetry Angle Space

open access: yesMathematics, 2020
This work investigates centered polygonal lacunary functions restricted from the unit disk onto symmetry angle space which is defined by the symmetry angles of a given centered polygonal lacunary function. This restriction allows for one to consider only
Leah K. Mork   +2 more
doaj   +3 more sources

Exploration of Filled-In Julia Sets Arising from Centered Polygonal Lacunary Functions

open access: yesFractal and Fractional, 2019
Centered polygonal lacunary functions are a particular type of lacunary function that exhibit properties which set them apart from other lacunary functions. Primarily, centered polygonal lacunary functions have true rotational symmetry.
L.K. Mork   +4 more
doaj   +3 more sources

Sum of Squares of ‘m’ Consecutive Woodall Numbers

open access: yesمجلة بغداد للعلوم, 2023
        This paper discusses the Sums of Squares of “m” consecutive Woodall Numbers. These discussions are made from the definition of Woodall numbers. Also learn the comparability of Woodall numbers and other special numbers.
P. Shanmuganandham, T. Deepika
doaj   +1 more source

On the complexity of range searching among curves [PDF]

open access: yes, 2017
Modern tracking technology has made the collection of large numbers of densely sampled trajectories of moving objects widely available. We consider a fundamental problem encountered when analysing such data: Given $n$ polygonal curves $S$ in $\mathbb{R ...
Afshani, Peyman, Driemel, Anne
core   +4 more sources

Centered Polygonal Lacunary Graphs: A Graph Theoretic Approach to p-Sequences of Centered Polygonal Lacunary Functions

open access: yesMathematics, 2019
This work is on the nature and properties of graphs which arise in the study of centered polygonal lacunary functions. Such graphs carry both graph-theoretic properties and properties related to the so-called p-sequences found in the study of centered ...
Keith Sullivan   +2 more
doaj   +1 more source

On recurrence and ergodicity for geodesic flows on noncompact periodic polygonal surfaces [PDF]

open access: yes, 2010
We study the recurrence and ergodicity for the billiard on noncompact polygonal surfaces with a free, cocompact action of $\Z$ or $\Z^2$. In the $\Z$-periodic case, we establish criteria for recurrence.
A. Borisov   +31 more
core   +3 more sources

Self-dual polygons and self-dual curves [PDF]

open access: yes, 2007
We study projectively self-dual polygons and curves in the projective plane.
Fuchs, Dmitry, Tabachnikov, Serge
core   +4 more sources

Centered polygon numbers, heptagons and nonagons, and the Robbins numbers

open access: yes, 2021
In this note, we explore certain determinantal descriptions of the Robbins numbers. Techniques used for this include continued fractions, Riordan arrays and series inversion. Proven and conjectured representations involve the determinants of both Hankel and symmetric matrices.
openaire   +2 more sources

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