Results 101 to 110 of about 165,252 (290)
Algorithms and Data Structures for Sparse Polynomial Arithmetic
Mathematics, 2019 We provide a comprehensive presentation of algorithms, data structures, and implementation techniques for high-performance sparse multivariate polynomial arithmetic over the integers and rational numbers as implemented in the freely available Basic ...
Mohammadali Asadi +3 more
doaj +1 more source
Conformal Oscillator Representations of Orthogonal Lie Algebras [PDF]
, 2014 The conformal transformations with respect to the metric defining the orthogonal Lie algebra o(n) give rise to a one-parameter (c) family of inhomogeneous first-order differential operator representations of the orthogonal Lie algebra o(n+2).
Xu, Xiaoping
core
Convergent and Divergent Connectivity Patterns of the Arcuate Fasciculus in Macaques and Humans
Advanced Science, EarlyView.This study employs viral‐based single‐neuron tracing and dMRI‐based whole‐brain tractography to investigate arcuate fasciculus (AF) trajectories in macaque monkeys, and compares with the human AF connectome using spectral embedding. Results demonstrate conserved AF topography spanning temporoparietal‐auditory‐frontal pathways across primates, with ...
Jiahao Huang +17 more
wiley +1 more source
Schur times Schubert via the Fomin-Kirillov algebra [PDF]
, 2013 We study multiplication of any Schubert polynomial $\mathfrak{S}_w$ by a Schur polynomial $s_\lambda$ (the Schubert polynomial of a Grassmannian permutation) and the expansion of this product in the ring of Schubert polynomials.
Meszaros, Karola +2 more
core +1 more source
Advanced Science, EarlyView.This study introduces a versatile platform for quantifying three dimensional traction forces at bio‐adhesive interfaces. Integrating in situ stereo‐digital image correlation with finite element simulations allows for precise measurement of microscale displacements and traction forces in both dry and wet conditions.
Yingwei Hou, Fusheng Wang, Tao Liu
wiley +1 more source
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 +15 more
wiley +1 more source
FPGA multi-unit parallel optimization and implementation of post-quantum cryptography CRYSTALS-Kyber
Tongxin xuebao, 2022 In lattice-based post-quantum cryptography, polynomial multiplication is complicated and time-consuming.In order to improve the computational efficiency of lattice cryptography in practical applications, an FPGA multi-unit parallel optimization and ...
Bin LI +3 more
doaj
A subexponential-time, polynomial quantum space algorithm for inverting the CM group action
Journal of Mathematical Cryptology, 2020 We present a quantum algorithm which computes group action inverses of the complex multiplication group action on isogenous ordinary elliptic curves, using subexponential time, but only polynomial quantum space.
Jao David +3 more
doaj +1 more source
Rib‐Reinforced Ultralight and Ultra‐Strong Shell Lattices
Advanced Science, EarlyView.This study thoroughly reveals the relation between the curvature and stress direction of triply periodic minimal surface (TPMS) thin shell lattices and proposes a novel rib reinforcement design strategy to incorporate ribs along the line of asymptotes (LOA) and the line of principal curvatures (LOC) to enhance the strength of ultralight TPMS shell ...
Winston Wai Shing Ma +6 more
wiley +1 more source
IEEE AccessNumber Theoretic Transform (NTT) enables speeding up polynomial multiplications, thereby accelerating the implementation of lattice-based post-quantum cryptography (PQC) algorithms.
Duc-Thuan Dam +5 more
doaj +1 more source