Results 31 to 40 of about 4,644 (155)

More convex functions by Artin`s method [PDF]

open access: yes, 2014
First we recall the notion of conxity and log-convexity for real-valued. Then we generalize the trick used by Artin in his famous paper on the Gamma function to find log-convex solutions to the functional equations f(x+1)=g(x)f(x).
Himmel, Martin
core  

Roles of Log-concavity, log-convexity, and growth order in white noise analysis

open access: yes, 2001
In this paper we will develop a systematic method to answer the questions $(Q1)(Q2)(Q3)(Q4)$ (stated in Section 1) with complete generality. As a result, we can solve the difficulties $(D1)(D2)$ (discussed in Section 1) without uncertainty.
Asai, Nobuhiro   +2 more
core   +1 more source

A Modular Bioinstructive Platform Reveals Mechanistic Insights into Additive‐Free, Topography‐Driven Osteogenesis

open access: yesAdvanced Healthcare Materials, EarlyView.
Engineered microparticle topographies direct human mesenchymal stem cell osteogenesis without biochemical additives. This osteogenic commitment is driven by canonical Hedgehog signaling and followed by temporal IGF‐II engagement. Two‐photon polymerization demonstrates spatial control, enabling the engineering of topographical gradients that pattern ...
Fatmah I. Ghuloum   +5 more
wiley   +1 more source

Complete monotonicity of multinomial probabilities and its application to Bernstein estimators on the simplex

open access: yes, 2018
Let $d\in \mathbb{N}$ and let $\gamma_i\in [0,\infty)$, $x_i\in (0,1)$ be such that $\sum_{i=1}^{d+1} \gamma_i = M\in (0,\infty)$ and $\sum_{i=1}^{d+1} x_i = 1$.
Ouimet, Frédéric
core   +1 more source

End‐to‐End Sensing Systems for Breast Cancer: From Wearables for Early Detection to Lab‐Based Diagnosis Chips

open access: yesAdvanced Materials Technologies, EarlyView.
This review explores advances in wearable and lab‐on‐chip technologies for breast cancer detection. Covering tactile, thermal, ultrasound, microwave, electrical impedance tomography, electrochemical, microelectromechanical, and optical systems, it highlights innovations in flexible electronics, nanomaterials, and machine learning.
Neshika Wijewardhane   +4 more
wiley   +1 more source

Learning Highly Dynamic Skills Transition for Quadruped Jumping Through Constrained Space

open access: yesAdvanced Robotics Research, EarlyView.
A quadruped robot masters dynamic jumps through constrained spaces with animal‐inspired moves and intelligent vision control. This hierarchical learning approach combines imitation of biological agility with real‐time trajectory planning. Although legged animals are capable of performing explosive motions while traversing confined spaces, replicating ...
Zeren Luo   +6 more
wiley   +1 more source

A priori bounds, existence, and uniqueness of smooth solutions to an anisotropic Lp Minkowski problem for log-concave measure

open access: yesAdvanced Nonlinear Studies, 2023
In the present article, we prove the existence and uniqueness of smooth solutions to an anisotropic Lp{L}_{p} Minkowski problem for the log-concave measure.
Chen Zhengmao
doaj   +1 more source

In Situ Characterisation of Hydrogels via Dynamic Interface Printing

open access: yesAdvanced Science, EarlyView.
ABSTRACT Hydrogels have become pivotal materials for tissue engineering, robotics, biomedical devices, and sensing applications due to their diverse material compositions and tunable mechanical properties. While significant effort has focused on developing novel manufacturing approaches such as extrusion bioprinting and light‐based fabrication methods,
Callum Vidler   +2 more
wiley   +1 more source

Solid Harmonic Wavelet Bispectrum for Image Analysis

open access: yesAdvanced Science, EarlyView.
The Solid Harmonic Wavelet Bispectrum (SHWB), a rotation‐ and translation‐invariant descriptor that captures higher‐order (phase) correlations in signals, is introduced. Combining wavelet scattering, bispectral analysis, and group theory, SHWB achieves interpretable, data‐efficient representations and demonstrates competitive performance across texture,
Alex Brown   +3 more
wiley   +1 more source

Inequalities for some basic hypergeometric functions

open access: yesПроблемы анализа, 2019
We establish conditions for the discrete versions of logarithmic concavity and convexity of the higher order regularized basic hypergeometric functions with respect to the simultaneous shift of all its parameters.
Kalmykov S. I., Karp D. B.
doaj   +1 more source

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