Wendel-Gautschi-Kershaw's Inequalities and Sufficient and Necessary Conditions that a Class of Functions Involving Ratio of Gamma Functions are Logarithmically Completely Monotonic [PDF]
In the article, sufficient and necessary conditions that a class of functions involving ratio of Euler’s gamma functions and originating from Wendel-Gautschi-Kershaw’s double inequalities are logarithmically completely monotonic are presented.
Qi, Feng, Guo, Bai-Ni
core +6 more sources
Certain Logarithmically N-Alternating Monotonic Functions Involving Gamma and q-Gamma Functions [PDF]
In the paper, three basic properties of the logarithmically N-alternating monotonic functions are established and the monotonicity results of some functions involving the gamma and q-gamma functions, which are obtained in [W. E. Clark and M. E.
Qi, Feng
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Some various inequalities Involving Prime Numbers Counting Function [PDF]
In this paper we find some inequalities concerning π(x) by considering some known inequalities involving it and some inequalities between important ...
Hassani, Mehdi
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Some Inequalities for the Triangle Involving Fibonacci Numbers [PDF]
In this note classical inequalities and Fibonacci numbers are used to obtain some miscellaneous inequalities involving the elements of a ...
Díaz-Barrero, José Luis
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Some Inequalities Involving the Geometric Mean of Natural Numbers and the Ratio of Gamma Functions [PDF]
In this article, using Stirling’s formula, the series-expansion of digamma functions and other techniques, two inequalities involving the geometric mean of natural numbers and the ratio of gamma functions are ...
Qi, Feng, Guo, Bai-Ni
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Inequalities of Some Trigonometric Functions [PDF]
By using two identities and two inequalities relating to Bernoulli’s and Euler’s numbers and power series expansions of cotangent function, secant function, cosecant function and logarithms of functions involving sine function, cosine function and ...
Qi, Feng, Chen, Chao-Ping
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A Reconfigurable Memristive Spiking Neuron Enabling Advanced Neuromorphic Computing
Pek Jun Tiw and co‐workers develop a reconfigurable memristive neuron that can exhibit four spiking behaviors with freely tunable spike train parameters. The neuron supports multiplexed spike encoding of multiple pieces of information. It also supports advanced neural network strategies, such as neural heterogeneity and dynamic mode switching ...
Pek Jun Tiw +6 more
wiley +1 more source
Structural Divergence Between the Moltbook AI‐Agent Network and Human Social Networks
Analysis of the Moltbook AI‐agent network reveals a striking combination of familiar global scaling and distinct internal organization. Attention is highly concentrated, reciprocity is limited, connected triads are suppressed, and communities are strongly modular.
Wenpin Hou, Zhicheng Ji
wiley +1 more source
ABSTRACT Cultural capital influences a wide range of social and economic outcomes, yet quantitative measures suitable for policy analysis remain limited. We develop county‐level cultural capital indices for the US based on Bourdieu's framework of objectified, embodied, and institutionalized cultural capital.
Pratyoosh Kashyap +2 more
wiley +1 more source
MolMiner: Toward Controllable, Three‐Dimensional‐Aware, Fragment‐Based Molecular Design
MolMiner is a fragment‐based, geometry‐aware, and order‐agnostic generative model for molecular design with strong inductive biases. Using symmetry‐aware fragment assembly, dynamic three‐dimensional geometry, and multi‐property conditioning, MolMiner enables interpretable and controllable molecular generation.
Raul Ortega‐Ochoa +2 more
wiley +1 more source

