Results 51 to 60 of about 14,265,519 (265)
On a New Extended Hardy–Hilbert’s Inequality with Parameters
In this paper, by introducing parameters and weight functions, with the help of the Euler−Maclaurin summation formula, we establish the extension of Hardy−Hilbert’s inequality and its equivalent forms.
Bicheng Yang, Shanhe Wu, Jianquan Liao
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How do genomes gain new functional parts? In eukaryotes, which tend to evolve under weak selection, much of the genome is junk. Palazzo and Qiu borrow the logic of Markov chains to show how non‐functional DNA becomes functional through the appearance of intermediate states, which arise due to epistasis, buffering, and biochemical messiness, allowing ...
Alexander F. Palazzo, Yi Qiu
wiley +1 more source
On a more accurate Hardy-Mulholland-type inequality
By using weight coefficients, technique of real analysis, and Hermite-Hadamard’s inequality, we give a more accurate Hardy-Mulholland-type inequality with multiparameters and a best possible constant factor related to the beta function.
Bicheng Yang, Qiang Chen
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On a reverse Mulholland-type inequality in the whole plane with general homogeneous kernel
By using the idea of introducing parameters and weight coefficients, a new reverse discrete Mulholland-type inequality in the whole plane with general homogeneous kernel is given, which is an extension of the reverse Mulholland inequality. The equivalent
Ricai Luo, Bicheng Yang, Xingshou Huang
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The Shewanella oneidensis Fic enzyme SoFic targets the switch‐I region of EF‐Tu for AMPylation
Fic enzymes mediate diverse post‐translational modifications across all domains of life, including AMPylation. Prokaryotic EF‐Tu can be AMPylated and deAMPylated by the conserved Fic enzyme SoFic. Structural and biochemical approaches were used to characterize the effect of AMPylation on EF‐Tu, SoFic's enzymatic activities, and the enzyme‐target ...
Svenja Runge +6 more
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On a more accurate reverse Mulholland-type inequality with parameters
By the use of the weight coefficients, the idea of introducing parameters and Hermite–Hadamard’s inequality, a more accurate reverse Mulholland-type inequality with parameters and the equivalent forms are given.
Leping He, Hongyan Liu, Bicheng Yang
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Artificial molecular machines and motors—Design and control of nanoscale motion
Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
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Aquaporin‐3 and aquaporin‐5 impact the development of pancreatic ductal adenocarcinoma spheroids
Schematic representation of the role of aquaporin‐3 (AQP3) and aquaporin‐5 (AQP5) in pancreatic ductal adenocarcinoma (PDAC). Both proteins are upregulated in PDAC and are associated with tumor progression and metastatic potential. Silencing AQP3 or AQP5 in PDAC spheroids results in decreased diameter, area, and overall growth, underscoring their key ...
Catarina Pimpão +3 more
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A Hilbert Integral-Type Inequality with Parameters
A Hilbert-type integral inequality with parameters α and (α,λ>0) can be established by introducing a nonhomogeneous kernel function. And the constant factor is proved to be the best possible. And then some important and especial results are enumerated.
Shang Xiaozhou, Gao Mingzhe
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On a new Hardy-Mulholland-type inequality and its more accurate form
Using weight coefficients and applying the well-known Hermite-Hadamard inequality, a new Hardy-Mulholand-type inequality with a best possible constant factor is given.
Aihua Li, Bicheng Yang, Leping He
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