Results 101 to 110 of about 565,015 (288)
Pro-Lie Groups: A Survey with Open Problems
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
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Parts of the Whole: Teaching Quantitative Reasoning in an Exponential Decay Model
The simple calculus example of exponential decay can be an excellent vehicle for teaching quantitative reasoning in calculus or differential equations.
Dorothy Wallace
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Elasticity of Diametrically Compressed Microfabricated Woodpile Lattices
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]
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
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
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On the Prony Series Representation of Stretched Exponential Relaxation [PDF]
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]
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
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
Interpolation series for integral functions of exponential type [PDF]
Angus Macintyre
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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