Results 81 to 90 of about 7,310,503 (245)

Hilbert Basis Theorem and Grobner Basis for Polynomial Ideals [PDF]

, 2020
This paper is an exposition of Hilbert Basis Theorem and Grobner Basis. We first recall some basis concepts of the ideal theory and Hilbert Basis theorem for Polynomial ideals.
Sandar, Lwin Mar Htun
core   +1 more source

Using rational logarithmic basis functions to solve singular differential equations

Electronic Journal of Differential Equations, 2016
Numerical methods based on polynomial approximation perform poorly when applied to singular initial value problems (IVPs). Hence, we are motivated to derive and implement numerical methods involving non-polynomial basis functions such as logarithmic ...
John J. Garwood, Samuel N. Jato
doaj  

Orthogonal Functions Solving Linear functional Differential EquationsUsing Chebyshev Polynomial

مجلة بغداد للعلوم, 2008
A method for Approximated evaluation of linear functional differential equations is described. where a function approximation as a linear combination of a set of orthogonal basis functions which are chebyshev functions .The coefficients of the ...
Baghdad Science Journal
doaj   +1 more source

Raman Analysis of RNA Nucleotide Strands From SARS‐CoV‐2 Variants and Subvariants: A Step Forward in the Definition of “Raman Genome”

Advanced Science, EarlyView.
Main Raman signals in RNA, related to helical backbone, ribofuranose ring, and nitrogenous bases, are affected by secondary structures that cause hyperchromic effects and significantly alter the Raman intensity. ABSTRACT Raman spectra of RNA nucleotide strands extracted from 20 SARS‐CoV‐2 strains, including the original Japanese isolate, Alpha, Beta ...
Giuseppe Pezzotti, Yoshiki Yasukochi, Gianluca Angiola, Takaharu Ueno, Saki Ikegami, Rintaro Okawa, Tetsuya Adachi, Wenliang Zhu, Osam Mazda, Alfio Grillo, Koichiro Higasa, Kazu Okuma   +11 more
wiley   +1 more source

Ammonification Process Is Limited by Transformation of Medium Molecular Weight Nitrogenous Organics but Not Hydrolysis of Proteins

Advanced Science, EarlyView.
A multi‐level analytical framework, integrating protein‐level persistence analysis, nontargeted HRMS formula tracking, peptide‐level proteomics, and targeted monomer quantification under varying redox conditions, together with FMO calculations reveal that ammonification is limited by medium molecular weight nitrogenous multimers.
Jing Li, Junjie Qiu, Fan Lü, Hua Zhang, Pinjing He   +4 more
wiley   +1 more source

Gröbner Basis Cryptanalysis of Ciminion and Hydra

IACR Transactions on Symmetric Cryptology
Ciminion and Hydra are two recently introduced symmetric key Pseudo- Random Functions for Multi-Party Computation applications. For efficiency, both primitives utilize quadratic permutations at round level.
Matthias Johann Steiner
doaj   +1 more source

Square-rich fixed point polynomial evaluation on FPGAs [PDF]

, 2014
Polynomial evaluation is important across a wide range of application domains, so significant work has been done on accelerating its computation. The conventional algorithm, referred to as Horner's rule, involves the least number of steps but can lead to
McLoughlin, Ian V., Suhaib A. Fahmy, Xu, Simin, Fahmy, Suhaib A., Ian V. McLoughlin, Simin Xu   +5 more
core   +1 more source

A Dual‐Programmable 2M NOR Flash Architecture for Energy‐Efficient In‐Memory Computing

Advanced Science, EarlyView.
In conventional NOR Flash, the access transistor occupies area but stores no information. Here, it is repurposed as a programmable second memory device that plays two functional roles: an analog memory element that lowers the minimum read current from 72.7 nA to 4.22 pA, and a current‐path gating element enabling true‐off pruning and current‐range ...
Suhan Kim, Donghyun Ryu, Hyoseob Kim, Sangwoo Jung, Min‐Hwi Kim   +4 more
wiley   +1 more source

Hybrid stiff-string-polynomial basis functions for vibration analysis of high speed rotating beams

, 2009
A new finite element is developed for free vibration analysis of high speed rotating beams using basis functions which use a linear combination of the solution of the governing static differential equation of a stiff-string and a cubic polynomial.
Gunda, Jagadish Babu, Gupta, RK, Ganguli, Ranjan   +2 more
core  

Omnidirectional Interaction Networks Modulating Phenotypic Plasticity in the Gut Microbiota Towards Ulcerative Colitis

Advanced Science, EarlyView.
This study employs a spouse‐pair cohort design and an idopNetwork model that integrates evolutionary game theory, predator‐prey dynamics, and developmental modularity theory to reconstruct maximally informative microbial interaction networks. This approach reveals how interspecies interactions drive the phenotypic plasticity of the gut microbiota in ...
Huizhen Li, Jiayi Li, Ang Dong, Xiaoyan Guo, Qiuyue Tu, Zelin Feng, Haojia Lin, Yanru Zhang, Yuxuan Hao, Huiying Gong, Yihan Meng, Yu Wang, Shing‐Tung Yau, Xiaocang Cao, Rongling Wu, Xinjuan Liu   +15 more
wiley   +1 more source