Results 71 to 80 of about 18,915 (259)
International Journal of Mathematics and Mathematical Sciences, 1995 We prove two new inequalities for the identric mean and a mean related to the arithmetic and geometric mean of two numbers.
J. Sandor
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An arithmetic-geometric mean inequality
Expositiones Mathematicae, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Advanced Science, EarlyView.In situ mechanical loading of osteoarthritis‐prone murine knee joints reveals that spatial alterations in subchondral plate microarchitecture precede cartilage loss and promote a shift from coordinated epiphyseal strain dissipation in healthy joints to focal subchondral strain concentration in osteoarthritis‐prone joints.
Aikta Sharma +10 more
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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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Advanced Science, EarlyView.A latent diffusion‐based framework is proposed for designing functionally graded metamaterials with perfect connectivity. By integrating vector‐quantized latent representations with mechanistic guidance, the framework enables accurate inverse design toward target elastic properties.
Jongbin Yu, Dosung Lee, Namjung Kim
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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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Design Principles for Alloy‐Anode‐Based Low‐Stack‐Pressure Solid‐State Batteries
Advanced Science, EarlyView.Design principles for matching alloy anodes with solid electrolytes to achieve low‐pressure solid‐state batteries are identified through electro‐chemo‐mechanical modeling, which reveals the critical stack pressure for interfacial stability, and validated experimentally.
Yuping Huang +7 more
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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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Advanced Science, EarlyView.Peptide‐inspired associative polymers with arginine‐like guanidinium stickers and lysine‐like ammonium spacers undergo chain collapse and liquid‐liquid phase separation induced by reversible sticker associations. Sticker valence and tunable association strength jointly control the phase behavior, chain conformation, and interfacial cohesion of these ...
Seung‐Hwan Oh +7 more
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