Results 61 to 70 of about 131,766 (286)

Mathematical Prediction for Geometry‐Mediated Cell 3D In‐Growth on Bone Tissue Engineering Scaffolds

Advanced Science, EarlyView.
This study identifies a fundamental pore size dependent pattern of three dimensional bone marrow derived mesenchymal stem cell (BMSC) infiltration within porous scaffolds, where small pores promote horizontal cellular bridging and large pores facilitate vertical migration.
Xiang Gao, Zhijun Yu, Yu Yan, Jiamin Ding, Wangsiyuan Teng, Chenhe Zhou, Minjun Yao, Wenkan Zhang, Shenzhi Zhao, Fangqian Wang, Zhenxuan Shao, Jinfeng Zhou, Xiaoyong Wu, Chengcheng Yu, Liang Chen, Xiaoqiang Jin   +15 more
wiley   +1 more source

Around the root of random multidimensional quadtrees [PDF]

Discrete Mathematics & Theoretical Computer Science, 2006
We analyse the distribution of the root pattern of randomly grown multidimensional point quadtrees. In particular, exact, recursive and asymptotic formulas are given for the expected arity of the root.
Gilbert Labelle, Louise Laforest, Xavier Provençal   +2 more
doaj   +1 more source

On the logarithmic factor in error term estimates in certain additive congruence problems

, 2005
We remove logarithmic factors in error term estimates in asymptotic formulas for the number of solutions of a class of additive congruences modulo a prime number.Comment: 13 ...
Garaev, M. Z.
core   +2 more sources

Experimental Joint Estimation of Phase and Phase Diffusion Via Deterministic Bell Measurements

Advanced Science, EarlyView.
This work employs Bell measurement, a form of entangling measurement, to estimate both the phase and its fluctuations in an optical interferometer. By incorporating a novel quantum effect at the measurement stage, the proposed method achieves the ultimate precision limit and demonstrates the significant potential of entangling measurements in multi ...
Ben Wang, Minghao Mi, Huangqiuchen Wang, Qian Xie, Lijian Zhang   +4 more
wiley   +1 more source

Asymptotic Representation of Vorticity and Dissipation Energy in the Flux Problem for the Navier–Stokes Equations in Curved Pipes

Axioms
This study explores the problem of describing viscous fluid motion for Navier–Stokes equations in curved channels, which is important in applications like hemodynamics and pipeline transport.
Alexander Chupakhin, Alexander Mamontov, Sergey Vasyutkin   +2 more
doaj   +1 more source

On some asymptotic properties of classical Hermite polynomials modified by a rational factor

Revista Integración, 2018
In this paper we study some asymptotic properties of the sequence of monic polynomials orthogonal with respect to the measure dµ = x 2+a x2+b e −x 2 dx, where a, b > 0 and a 6= b.
Luis Alejandro Molano Molano
doaj   +1 more source

On the theory of Bose-condensate fluctuations in finite size systems

, 2009
An asymptotic expansions for the grand partition function of ideal Bose gas in the canonical ensemble with arbitrary number of particles is obtained.
A. I. Bugrij, Bugrij A. I., Einstein A., Gradshteyn I. S., Huang K., Landau L. D., V. M. Loktev, Zvyagin A. A.   +7 more
core   +1 more source

Achieving Chemical Accuracy in Cyclodextrin Host–Guest Binding via Integrative Atomistic Modelling

Advanced Science, EarlyView.
A generalizable computational framework is presented that overcomes long‐standing challenges in modelling cyclodextrin host‐guest binding by integrating host‐specific force‐field refinement, equilibrium enhanced sampling, nonequilibrium alchemical switching, convolution sampling of independent works, rigorous finite‐size corrections, and QM‐based ...
Xiaohui Wang, Linqiong Qiu, Hongyu Wang, Wenting Tang, Jiayang Leng, John Z. H. Zhang, Piero Procacci, Zhaoxi Sun   +7 more
wiley   +1 more source

Singularity analysis via the iterated kernel method [PDF]

Discrete Mathematics & Theoretical Computer Science, 2013
We provide exact and asymptotic counting formulas for five singular lattice path models in the quarter plane. Furthermore, we prove that these models have a non D-finite generating function.
Stephen Melczer, Marni Mishna
doaj   +1 more source

UNIFORM ASYMPTOTIC FORMULAS FOR RESTRICTED BIPARTITE PARTITIONS [PDF]

Bulletin of the Australian Mathematical Society, 2020
In this paper, we investigate $\unicode[STIX]{x1D70B}(m,n)$, the number of partitions of the bipartite number$(m,n)$ into steadily decreasing parts, introduced by Carlitz [‘A problem in partitions’, Duke Math. J.30 (1963), 203–213]. We give a relation between $\unicode[STIX]{x1D70B}(m,n)$ and the crank statistic $M(m,n)$ for integer partitions.
openaire   +3 more sources