Results 51 to 60 of about 173,713 (336)

Sigma-Pi Structure with Bernoulli Random Variables: Power-Law Bounds for Probability Distributions and Growth Models with Interdependent Entities

Entropy, 2021
The Sigma-Pi structure investigated in this work consists of the sum of products of an increasing number of identically distributed random variables. It appears in stochastic processes with random coefficients and also in models of growth of entities ...
Arthur Matsuo Yamashita Rios de Sousa, Hideki Takayasu, Didier Sornette, Misako Takayasu   +3 more
doaj   +1 more source

Compression‐Tension‐Asymmetry and Stiffness Nonlinearity of Collagen‐Matrigel Composite Hydrogels

Advanced Healthcare Materials, EarlyView.
Self‐assembled collagen hydrogel matrices are widely used in tissue engineering applications. These matrices stiffen and contract laterally under tension due to fiber alignment and soften and collapse under compression due to fiber buckling. It is demonstrated that filler materials, such as Matrigel, linearize the mechanical behavior of collagen ...
David Böhringer, Jan Hinrichsen, Radik Gataulin, Sandra Wiedenmann, Marina Spörrer, Selda Sherifova, Paul Steinmann, Gerhard A. Holzapfel, Ben Fabry, Silvia Budday   +9 more
wiley   +1 more source

Combinatorics of poly-Bernoulli numbers

, 2015
The ${\mathbb B}_n^{(k)}$ poly-Bernoulli numbers --- a natural generalization of classical Bernoulli numbers ($B_n={\mathbb B}_n^{(1)}$) --- were introduced by Kaneko in 1997. When the parameter $k$ is negative then ${\mathbb B}_n^{(k)}$ is a nonnegative
Bényi, Beáta, Hajnal, Peter
core   +1 more source

A Review on Microreactor Design for Effective Fischer–Tropsch Process Intensification

Advanced Materials Technologies, EarlyView.
Design strategies for effective Fischer–Tropsch process intensification are summarized based on experimental and simulation experiences. Recommendations for catalyst loading of packed‐bed and wash‐coated microchannel, microtube, micromonolith, and microstructured reactors are discussed.
Yangjun Wei, Lukas Thum, Avela Kunene, Daniel Amkreutz, Rutger Schlatmann, Sonya Calnan   +5 more
wiley   +1 more source

Poly-Bernoulli numbers [PDF]

Journal de théorie des nombres de Bordeaux, 1997
By using polylogarithm series, we define “poly-Bernoulli numbers” which generalize classical Bernoulli numbers. We derive an explicit formula and a duality theorem for these numbers, together with a von Staudt-type theorem for di-Bernoulli numbers and another proof of a theorem of Vandiver.
openaire   +2 more sources

Hard‐Magnetic Soft Millirobots in Underactuated Systems

Advanced Robotics Research, EarlyView.
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang, Zixuan Zhang, Bingyan Li, Junkai Wang, Hongcheng Gu   +4 more
wiley   +1 more source

A Review on Sensor Technologies, Control Approaches, and Emerging Challenges in Soft Robotics

Advanced Robotics Research, EarlyView.
This review provides an introspective of sensors and controllers in soft robotics. Initially describing the current sensing methods, then moving on to the control methods utilized, and finally ending with challenges and future directions in soft robotics focusing on the material innovations, sensor fusion, and embedded intelligence for sensors and ...
Ean Lovett, Maxwell Hammond, Niloufar Seyfi, Amirreza Fahim Golestaneh, Venanzio Cichella, Caterina Lamuta   +5 more
wiley   +1 more source

Image-Based Multi-Target Tracking through Multi-Bernoulli Filtering with Interactive Likelihoods

Sensors, 2017
We develop an interactive likelihood (ILH) for sequential Monte Carlo (SMC) methods for image-based multiple target tracking applications. The purpose of the ILH is to improve tracking accuracy by reducing the need for data association.
Anthony Hoak, Henry Medeiros, Richard J. Povinelli   +2 more
doaj   +1 more source

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

Advanced Robotics Research, EarlyView.
A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun, Liang Zhang, Jianwen Zeng, Xuefeng Wang   +3 more
wiley   +1 more source

Three identities and a determinantal formula for differences between Bernoulli polynomials and numbers

Electronic Research Archive
In the paper, the authors simply review recent results of inequalities, monotonicity, signs of determinants, determinantal formulas, closed-form expressions, and identities of the Bernoulli numbers and polynomials, establish an identity involving the ...
Jian Cao, José Luis López-Bonilla, Feng Qi   +2 more
doaj   +1 more source