Results 21 to 30 of about 4,644 (155)
Log-log Convexity of Type-Token Growth in Zipf's Systems
It is traditionally assumed that Zipf's law implies the power-law growth of the number of different elements with the total number of elements in a system - the so-called Heaps' law.
Corral, Alvaro, Font-Clos, Francesc
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Quantitative computed tomographic descriptors associate tumor shape complexity and intratumor heterogeneity with prognosis in lung adenocarcinoma. [PDF]
Two CT features were developed to quantitatively describe lung adenocarcinomas by scoring tumor shape complexity (feature 1: convexity) and intratumor density variation (feature 2: entropy ratio) in routinely obtained diagnostic CT scans.
Olya Grove +13 more
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The $q$-log-convexity of Domb's polynomials [PDF]
In this paper, we prove the $q$-log-convexity of Domb's polynomials, which was conjectured by Sun in the study of Ramanujan-Sato type series for powers of $\pi$. As a result, we obtain the log-convexity of Domb's numbers.
Anne X. Y. Ren +2 more
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In this study, we produced HfN‐based nanoparticles via femtosecond laser ablation in acetone. The nanoparticles exhibit a red‐shifted plasmonic resonance in the NIR‐I window, colloidal stability after coating with polyethyleneglycol, and excellent biocompatibility. The photothermal and X‐ray sensitization therapeutic effects were demonstrated for tumor
Julia S. Babkova +15 more
wiley +1 more source
On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous Mean
A four-parameter homogeneous mean ðÂÂÂ…(p,q;r,s;a,b) is defined by another approach. The criterion of its monotonicity and logarithmically convexity is presented, and three refined chains of inequalities for two-parameter mean values are deduced which
Zhen-Hang Yang
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Shaping of Biohybrid Functional Living Materials
This work demonstrates a strategy for shaping living mycelium into functional materials by directing its natural growth. Nanoparticles armor hyphae, micron‐scale particles entangle within the network, and printed hydrogel architectures steer expansion, creating defined geometries.
Sarah Schyck +3 more
wiley +1 more source
In this paper, we obtain new results concerning the generalizations of additive and multiplicative majorizations by means of exponential convexity. We prove positive semi-definiteness of matrices generated by differences deduced from majorization type ...
Naveed Latif, Josip Pečarić
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On the $q$-log-convexity conjecture of Sun [PDF]
In his study of Ramanujan-Sato type series for $1/\pi$, Sun introduced a sequence of polynomials $S_n(q)$ as given by $$S_n(q)=\sum\limits_{k=0}^n{n\choose k}{2k\choose k}{2(n-k)\choose n-k}q^k,$$ and he conjectured that the polynomials $S_n(q)$ are $q ...
Anne X. Y. Ren +2 more
core
Optimal Gabor frame bounds for separable lattices and estimates for Jacobi theta functions
We study sharp frame bounds of Gabor frames with the standard Gaussian window and prove that the square lattice optimizes both the lower and the upper frame bound among all rectangular lattices.
Faulhuber, Markus, Steinerberger, Stefan
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Engineering Strategies for Stable and Long‐Life Alkaline Zinc‐Based Flow Batteries
Alkaline zinc‐based flow batteries face persistent challenges from unstable zinc deposition, including dendrite growth, passivation, corrosion, and hydrogen evolution, which severely limit cycling stability. Current research addresses these issues through coordinated electrode structuring, electrolyte regulation, and membrane design to control zinc ...
Yuran Bai +6 more
wiley +1 more source

