Results 101 to 110 of about 565,015 (288)

Pro-Lie Groups: A Survey with Open Problems

open access: yesAxioms, 2015
A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete ...
Karl H. Hofmann, Sidney A. Morris
doaj   +1 more source

Parts of the Whole: Teaching Quantitative Reasoning in an Exponential Decay Model

open access: yesNumeracy, 2016
The simple calculus example of exponential decay can be an excellent vehicle for teaching quantitative reasoning in calculus or differential equations.
Dorothy Wallace
doaj   +1 more source

Elasticity of Diametrically Compressed Microfabricated Woodpile Lattices

open access: yesAdvanced Engineering Materials, EarlyView.
Modulus–porosity relationship is derived for woodpile lattices with struts under diametrical compression. The formula presented here that Young's modulus is proportional to the square of the volume fraction E˜ρ2$E \sim \left(\rho\right)^{2}$ is shown to be consistent with computations and laboratory experiments on 3D‐printed samples.
Faezeh Shalchy, Atul Bhaskar
wiley   +1 more source

Brownian Super-exponents [PDF]

open access: yesarXiv, 2006
We introduce a transform on the class of stochastic exponentials for d-dimensional Brownian motions. Each stochastic exponential generates another stochastic exponential under the transform. The new exponential process is often merely a supermartingale even in cases where the original process is a martingale.
arxiv  

Quantitative Cross-Cultural Similarities and Differences in Social Discounting for Gains and Losses

open access: yesFrontiers in Public Health, 2019
Social discounting is when resource allocation decreases as social distance increases. Studies fitting different quantitative models to social discounting data have shown that a q-exponential function based on Tsallis' statistics best fits loss data ...
Sarah E. Stegall   +4 more
doaj   +1 more source

On the Prony Series Representation of Stretched Exponential Relaxation [PDF]

open access: yesarXiv, 2018
Stretched exponential relaxation is a ubiquitous feature of homogeneous glasses. The stretched exponential decay function can be derived from the diffusion-trap model, which predicts certain critical values of the fractional stretching exponent. In practical implementations of glass relaxation models, it is computationally convenient to represent the ...
arxiv  

Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals [PDF]

open access: yesarXiv, 2020
We study the approximation of compact linear operators defined over certain weighted tensor product Hilbert spaces. The information complexity is defined as the minimal number of arbitrary linear functionals which is needed to obtain an $\varepsilon$-approximation for the $d$-variate problem.
arxiv  

Multifunctional Design of Triply Periodic Minimal Surface Structures for Temporary Pediatric Fixation Devices

open access: yesAdvanced Engineering Materials, EarlyView.
A metallic implant's higher stiffness compared to the surrounding bone leads to stress shielding problems, causing bone density reduction and bone growth interference in pediatric patients. 3D‐printed triply periodic minimal surface structures present a promising engineering solution.
Ali Ebrahimzadeh Dehaghani   +4 more
wiley   +1 more source

Soft‐Layered Composites with Wrinkling‐Activated Multi‐Linear Elastic Behavior, Stress Mitigation, and Enhanced Strain Energy Storage

open access: yesAdvanced Engineering Materials, EarlyView.
In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia   +2 more
wiley   +1 more source

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