Results 81 to 90 of about 4,387,980 (294)
The arithmetic-geometric-harmonic-mean and related matrix inequalities
Linear Algebra and its Applications, 1997 Recently, Sagae and Tanabe defined a geometric mean of positive definite matrices and proved the harmonic-geometric-arithmetic- mean inequality. Here, we give a reversal of these results.
Alić, M. +3 more
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Advanced Science, EarlyView.Artificial grain boundaries are created in BaTiO3$\text{BaTiO}_3$ thin films by freestanding membrane transfer, enabling direct isolation of a single boundary. Local ferroelectric switching and leakage are found to concentrate at the grain boundary, while increasing misorientation systematically enhances conduction.
Shin‐Rou Yin +13 more
wiley +1 more source
Sharp bounds for the tangent mean by weighted power mean of arithmetic and geometric means
Open MathematicsUsing the monotonicity rules for the ratios of two functions (power series), the optimal bounds for the tangent mean in terms of weighted power means of arithmetic and geometric means are obtained.
Xu Hui-Zuo
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Geometry‐Regulated Electrode‐Wide Nucleation Patterns in Aqueous Zinc Anodes
Advanced Science, EarlyView.Laser‐ablated 3D hole patterning enables geometry‐driven control of Zn deposition in aqueous batteries. The hole opening ratio (HOR) governs electrode‐wide nucleation patterns by regulating the spatial distribution of nucleation sites and the evolution of early‐stage Zn deposits.
Seyoung Han +4 more
wiley +1 more source
Some Mean Values Related to the Arithmetic–Geometric Mean
Journal of Mathematical Analysis and Applications, 1998 Let \[ r_n(t)= (a^n\cos^2t+ b^n\sin^2 t)^{1/n}\qquad (n\neq 0,\text{ integer}); \] \[ r_0(t)= \lim_{n\to\infty} r_n(t)= a^{\cos^2 t}b^{\sin^2 t} \qquad (a, b>0). \] For a strictly monotonic function \(p:\mathbb{R}^+\to\mathbb{R}\) let \(M_{p,n}(a,b)= p^{-1}\left({1\over 2\pi} \int^{2\pi}_0 p(r_n(t))dt\right)\).
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Advanced Science, EarlyView.This study elucidates the microstructural evolution at the material interface of Ni‐plated plain‐weave carbon fiber fabric following vacuum heat treatment at 500°C–900°C under different current densities, as well as the mechanism underlying the synergistic enhancement of electromagnetic shielding and ductility.
Wei Cheng +7 more
wiley +1 more source
Journal of Function Spaces, 2016 We present the best possible parameters α1,β1,α2,β2∈R and α3,β3∈(1/2,1) such that the double inequalities Qα1(a,b)A1-α1(a,b)
Hua Wang, Wei-Mao Qian, Yu-Ming Chu
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Arithmetic–Geometric Mean and Related Inequalities for Operators
Journal of Functional Analysis, 1998 The author discusses the matrix inequalities \(||| A^*XB||| \leq {1\over 2} |||AA^*X+ XBB^*|||\) and \(||| AXB|||\leq |||A^pX|||^{1/p} |||XB^q|||^{1/q}\) (with \(A,B\geq 1\), \(1 ...
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A Visual Proof of The Arithmetic, Logarithmic, Geometric, and Harmonic Mean Inequality
, 2022 In this note, we provide a visual proof of the arithmetic, logarithmic, geometric, and harmonic mean inequality [1]
Kyumin Nam
core +1 more source
Imperfect Oriented Attachment of Gold Nanoparticles
Advanced Science, EarlyView.The cover illustrates the imperfect oriented attachment of gold nanoparticles in liquid, as revealed by in situ liquid‐phase transmission electron microscopy. Triggered by the abrupt collapse of the interfacial hydration layer, two misoriented nanoparticles undergo a kinetically driven “jump‐to‐coalescence”.
Fangjie Meng +7 more
wiley +1 more source