Results 61 to 70 of about 852,038 (290)
Euler Graph Transformations for Euler Diagram Layout [PDF]
, 2010 Euler diagrams are frequently used for visualizing information about collections of objects and form an important component of various visual languages.
Howse, John +7 more
core +1 more source
Generalized -Euler Numbers and Polynomials Associated with -Adic -Integral on
International Journal of Mathematics and Mathematical Sciences, 2012 We generalize the Euler numbers and polynomials by the generalized -Euler numbers and polynomials . We observe an interesting phenomenon of “scattering” of the zeros of the generalized -Euler polynomials in complex plane.
H. Y. Lee +3 more
doaj +1 more source
Beyond Directions: Symmetry-Aware Rotation Sets for Triaxial Diffusion Encoding by Geometric Filter Optimization. [PDF]
Magn Reson MedABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations). Based on this, we propose a method to
Jespersen SN, Szczepankiewicz F.
europepmc +2 more sources
Probabilistic type 2 Bernoulli and Euler polynomials
AIMS MathematicsAssume that the moment-generating function of the random variable $ Y $ exists in a neighborhood of the origin. The aim of this paper is to investigate the probabilistic type 2 Bernoulli polynomials associated with $ Y $ and the probabilistic type 2 ...
Li Chen +3 more
semanticscholar +1 more source
On the Roots of Orthogonal Polynomials and Euler-Frobenius Polynomials
Journal of Mathematical Analysis and Applications, 1995 Consider a family of polynomials recursively defined by \(P_0 (x) = x^l\) \((l\) any nonnegative integer) and \[ c_{n + 1} P_{n + 1} (x) = - 2r_n xP_n (x) + (1 - x^2) P_n' (x), \quad n \geq 0, \] where \(r_n > 0\) and \(c_n \in \mathbb{R}\backslash\{0\}\). For example, ultraspherical and Euler-Frobenius polynomials verify this scheme.
Dubeau, F., Savoie, J.
openaire +2 more sources
A Survey of Euler Diagrams [PDF]
, 2014 Euler diagrams visually represent containment, inpresstersection and exclusion using closed curves. They first appeared several hundred years ago, however, there has been a resurgence in Euler diagram research in the twenty-first century.
Rodgers, Peter
core +1 more source
A new class of generalized polynomials involving Laguerre and Euler polynomials
Hacettepe Journal of Mathematics and Statistics, 2020 Motivated by their importance and potential for applications in a variety of research fields, recently, numerous polynomials and their extensions have been introduced and investigated.
Junesang Choi, N. Khan, T. Usman
semanticscholar +1 more source
Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials [PDF]
, 2012 We analyze the asymptotic behavior of the Apostol-Bernoulli polynomials Bn(x; λ) in detail. The starting point is their Fourier series on [0, 1] which, it is shown, remains valid as an asymptotic expansion over compact subsets of the complex plane.
Navas, L.M. [0000-0002-5742-8679] +5 more
core +1 more source
Advanced Materials, EarlyView.We present elastomeric three‐dimensional (3D) microstructures fabricated via two‐photon polymerization (2PP) and post‐processed through wet etching, for quantifying nanonewton (nN)‐scale forces applied by healthy and diseased neural cells. The mechanically characterized free‐standing beam architectures enable measurement of traction forces of ...
Pieter F. J. van Altena +7 more
wiley +1 more source
Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials [PDF]
Journal of Inequalities and Applications, 2019 In this paper, we investigate some properties and identities for degenerate Euler polynomials in connection with degenerate Bernstein polynomials by means of fermionic p-adic integrals on Zp$\mathbb{Z}_{p}$ and generating functions. In addition, we study
Wonjoo Kim, D. Kim, H. Kim, Taekyun Kim
semanticscholar +1 more source