Results 61 to 70 of about 572,993 (300)
An analogue in certain unique factorization domains of the Euclid-Euler theorem on perfect numbers
International Journal of Mathematics and Mathematical Sciences, 1990 We show that there exists a natural extention of the sum of divisors function to all unique factorization domains F having a finite number of units such that if a perfect number in F is defined to be an integer η whose proper divisors sum to η, then the ...
Wayne L. McDaniel
doaj +1 more source
Advanced Science, EarlyView.This work provides a practical guide for neuroengineers to design advanced neural interfaces, embracing and tailoring the concept of functional disorder. By bridging 2D and 3D in vitro models, this work highlights how non‐periodic, spatially heterogeneous, multiscale nanotopography can enable more physiologically relevant platforms for studying neural ...
F. Maita +4 more
wiley +1 more source
SketchSet: Creating Euler diagrams using Pen or Mouse [PDF]
, 2011 Euler diagrams form the basis of various visual languages but tool support for creating them is generally limited to generic diagram editing software using mouse and keyboard interaction.
A. Delaney +12 more
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Physics‐Informed Neural Network‐Enabled Forward Prediction and Inverse Design of Ring Origami
Advanced Science, EarlyView.This work presents a KRT‐PINN framework that integrates Kirchhoff rod theory with physics‐informed neural networks for the forward prediction and inverse design of ring origami consisting of closed‐loop rods. The framework predicts stable states of segmented rings with prescribed natural‐curvature profiles and determines the natural‐curvature profiles ...
Luyuan Ning +3 more
wiley +1 more source
Symmetry Fermionic 𝑝-Adic 𝑞-Integral on ℤ𝑝 for Eulerian Polynomials
International Journal of Mathematics and Mathematical Sciences, 2012 Kim et al. (2012) introduced an interesting p-adic analogue of the Eulerian polynomials. They studied some identities on the Eulerian polynomials in connection with the Genocchi, Euler, and tangent numbers.
Daeyeoul Kim, Min-Soo Kim
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Drawing Area-Proportional Euler Diagrams Representing Up To Three Sets [PDF]
, 2013 Area-proportional Euler diagrams representing three sets are commonly used to visualize the results of medical experiments, business data, and information from other applications where statistical results are best shown using interlinking curves ...
Howse, John +3 more
core +1 more source
Advanced Science, EarlyView.Cellular forces are traditionally inferred from displacement measurements, which lack rotational information and are constrained by linear model assumptions. This work replaces displacement with rotational angle for the fundamental mechanical readout.
Linjie Ma +8 more
wiley +1 more source
Introducing 3D Venn and Euler Diagrams [PDF]
, 2012 In 2D, Venn and Euler diagrams consist of labelled simple closed curves and have been widely studied. The advent of 3D display and interaction mechanisms means that extending these diagrams to 3D is now feasible.
Rodgers, Peter +2 more
core
Layout Metrics for Euler Diagrams [PDF]
, 2003 We present an aesthetics based method for drawing Euler diagrams. Aesthetic layout metrics have been found to be useful in graph drawing algorithms, which use metrics motivated by aesthetic principles that aid user understanding of diagrams.
Flower, J., Rodgers, P., Mutton, P.
core +1 more source
From Folding Mechanics to Robotic Function: A Unified Modeling Framework for Compliant Origami
Advanced Science, EarlyView.A geometry‐consistent DDG framework captures compliant origami deformation from rigid‐like folding to soft panel bending. By tuning crease and panel stiffness, bistable snap‐through responses transform into smooth monostable deformation, enabling programmable stability and robot‐scale locomotion.
Bohan Zhang +7 more
wiley +1 more source