Results 51 to 60 of about 1,298,028 (310)

Automatically Drawing Euler Diagrams with Circles [PDF]

open access: yes, 2012
Euler diagrams are used for visualizing categorized data. These categories, together with information about when categories share some datum, can be turned into a succinct diagram description from which an Euler diagram can be generated.
Howse, John   +3 more
core   +1 more source

Unified Phase‐Field Framework for Antiferroelectric, Ferroelectric and Dielectric Phases: Application to HZO Thin Films

open access: yesAdvanced Functional Materials, EarlyView.
HfxZr1−xO2${\rm Hf}_x{\rm Zr}_{1-x}{\rm O}_2$ offers CMOS‐compatible nanoscale ferroelectricity yet suffers from a high Ec${\rm E}_c$ demanding large operating voltages. A unified phase‐field framework spanning AFE/FE/DE phases shows how FE grains soften neighboring AFE grains over λ$\lambda$ ≈$\approx$ 22–37 nm.
P. Pankaj   +4 more
wiley   +1 more source

Euler Numbers and Polynomials Associated with Zeta Functions

open access: yesAbstract and Applied Analysis, 2008
For s∈ℂ, the Euler zeta function and the Hurwitz-type Euler zeta function are defined by ζE(s)=2∑n=1∞((−1)n/ns), and ζE(s,x)=2∑n=0∞((−1)n/(n+x)s). Thus, we note that the Euler zeta functions are entire functions in whole complex s-plane, and these zeta ...
Taekyun Kim
doaj   +1 more source

De-Moivre and Euler Formulae for Dual-Complex Numbers

open access: yesUniversal Journal of Mathematics and Applications, 2019
In this study, we generalize the well-known formulae of De-Moivre and Euler of complex numbers to dual-complex numbers. Furthermore, we investigate the roots and powers of a dual-complex number by using these formulae. Consequently, we give some examples
Mehmet Ali Güngör, Ömer Tetik
doaj   +1 more source

Combinatorics of generalized q-Euler numbers

open access: yesJournal of Combinatorial Theory, Series A, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tim Huber, Ae Ja Yee
openaire   +1 more source

Rational Tuning of Hygroscopic Oscillation of Stacked Nanoflake Assemblies for Continuous Ambient Energy Harvesting

open access: yesAdvanced Materials, EarlyView.
Stacked nanoflake assembly (SNA) membranes can oscillate autonomously, offering opportunities for soft actuation and energy harvesting. This work uncovers the physical mechanism behind the sustained oscillation of SNA membranes in gradient humidity and identifies three governing dimensionless parameters, enabling rational design for optimizing SNA ...
Zijing Zhang   +5 more
wiley   +1 more source

Elastomeric 3D‐Printed Microenvironments Enable Nanonewton Force Measurements in Healthy and Diseased Human Pluripotent Stem Cell‐Derived Neuroepithelial Cells

open access: yesAdvanced 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

Hypergeometric Euler numbers

open access: yesAIMS Mathematics, 2020
In this paper, we introduce the hypergeometric Euler number as an analogue of the hypergeometric Bernoulli number and the hypergeometric Cauchy number. We study several expressions and sums of products of hypergeometric Euler numbers. We also introduce complementary hypergeometric Euler numbers and give some characteristic properties.
Takao Komatsu, Huilin Zhu
openaire   +4 more sources

A General Method for Drawing Area-Proportional Euler Diagrams [PDF]

open access: yes, 2011
Area-proportional Euler diagrams have many applications, for example they are often used for visualizing data in medical and biological domains. There have been a number of recent research efforts to automatically draw Euler diagrams when the areas of ...
Howse, John   +5 more
core   +1 more source

Fabrication of Fibers With Complex Features Using Thermal Drawing of 3D‐Printed Preforms

open access: yesAdvanced Materials Technologies, EarlyView.
3D printing enables rapid fabrication of macroscale polymer preforms with complex geometries. Thermal drawing then scales these structures into long fibers while preserving micron‐scale cross‐sectional features. This workflow provides a fast, low‐cost route to functional fibers with tailored geometries and material combinations for catheter, robotic ...
Ali Anil Demircali   +4 more
wiley   +1 more source

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