Results 21 to 30 of about 5,078 (233)

Exact resultants for corner-cut unmixed multivariate polynomial systems using the Dixon formulation

Journal of Symbolic Computation, 2003
Structural conditions on the support of a multivariate polynomial system are developed for which the Dixon-based resultant methods compute exact resultants.
Chtcherba, Arthur D., Kapur, Deepak
core   +2 more sources

Computing the Dixon Resultant with the Maple Package DR

, 2017
The Maple package DR provides functions for computing the Dixon resultant of a system of parametric multi-variate polynomials. The Dixon resultant constitutes a necessary condition for the polynomials to have a common root after specializing their parameters.
Manfred Minimair
core   +2 more sources

Implitcitizing bi-cubi toric surfaces by dixon alpha-resultant quotients

11th Pacific Conference onComputer Graphics and Applications, 2003. Proceedings., 2004
Toric surface patches have two significant geometric properties: they are multi-sided and they are generalizations of both the triangular and rectangular Bezier surface patches. They also have a very nice algebraic property: their implicit equations are closely related to the Dixon determinant.
Eng-Wee Chionh, Mao-Ching Foo
core   +2 more sources

Catalytic Enantioselective Intramolecular Aza‐Michael Addition to α,β‐Unsaturated Esters

Angewandte Chemie, EarlyView.
A general method for accessing enantioenriched saturated N‐heterocycles via a catalytic enantioselective intramolecular aza‐Michael reaction to α,β‐unsaturated esters is described. A superbasic bifunctional iminophosphorane (BIMP) catalyst was key to enabling reactivity of the high pKa sulfonamide pronucleophile, whilst delivering good to excellent ...
Evan G. W. Rutter, Cameron J. MacRae, Haoran Xiong, Daniel Rozsar, Katherine F. P. Clarke, Darren J. Dixon   +5 more
wiley   +2 more sources

CORNER POINT PASTING AND DIXON ${\mathcal A}$-RESULTANT QUOTIENTS

Computer Mathematics, 2011
ENG-WEE CHIONH, MAO-CHING FOO
core   +2 more sources

Targeting the PDK1/c‐Myc/SOX10 Signaling in Oligodendrocytes Alleviates Neuropathic Pain

Advanced Science, EarlyView.
This work reveals that oligodendrocyte homeostasis, mediated by PDK1, is a critical determinant of neuropathic pain (NPP) pathogenesis. Disruption of PDK1 in oligodendrocytes impairs SOX10‐dependent myelination programs through c‐Myc accumulation, leading to disrupted myelination and the pathophysiology of NPP.
Pingping Qiao, Lifang Guo, Guochao Yang, Chaoli Huang, He Wang, Jian‐Jun Yang, Guiquan Chen, Yimin Hu   +7 more
wiley   +1 more source

Nigra‐Subthalamic Dopaminergic Circuitry Modulates and Represents Distinct Pain Modality in Physiological and Pain States in Mice

Advanced Science, EarlyView.
Nigral dopaminergic (DA) neurons modulate and represent pain with a preference to a particular modality (mechanical) and laterality (contralateral), which are controlled by nigral GABAergic neurons. The pain modulation is mimicked by the nigro‐subthalamic projection and its downstream neurons, involving D2‐like receptors.
Ying Ji, Shuyi Li, Jiaqi Zhang, Xiang‐Ying Xu, Cui Yin, Mu Niu, Danyang Liu, Yanyu Jiang, Yong Niu, Su Liu, Bin Zhang, Guiyun Cui, Chunyi Zhou, Cheng Xiao   +13 more
wiley   +1 more source

SuFEx‐Enabled Reprogramming of Flavonoids for Selective α‐Glucosidase Covalent Inhibition

Advanced Science, EarlyView.
Selective inhibition of intestinal α‐glucosidase remains limited by poor enzyme specificity and off‐target metabolic effects. Here, SuFEx click chemistry is used to reprogram natural flavonoids into covalent inhibitors with enhanced α‐glucosidase selectivity and controlled reactivity. This strategy enables effective regulation of carbohydrate digestion
Fengyu Guo, Liwei Zhang, Minlong Wang, Yanjin Du, Tianyu Zhang, Hao Chen, Jiazeng Sun, Yang Yu, Zude He, Jie An, Xiaoxu Zhang, Weilin Lin, Fazheng Ren, Pengjie Wang, Ping Liu   +14 more
wiley   +1 more source

Multi‐Targeting Carnosic Acid Kills Drug‐Resistant Helicobacter pylori With Narrow‐Spectrum Activity

Advanced Science, EarlyView.
Carnosic acid selectively eradicates drug‐resistant Helicobacter pylori through a multi‐targeted mechanism involving urease inhibition, membrane disruption, and biofilm eradication. It exhibits no detectable resistance, potent in vivo efficacy, and minimal impact on gut microbiota, positioning it as a promising narrow‐spectrum lead compound against ...
Yuefan Bai, Hongming Huang, Xudong Hang, Shanwei Hu, Qian Tong, Jingchen Xu, Jia Jia, Hongkai Bi   +7 more
wiley   +1 more source

Rectangular Corner Cutting and Dixon A -resultants

Journal of Symbolic Computation, 2001
AbstractThe classical Dixon resultant for three bi-degree polynomials in two variables is an A -resultant with a rectangular bi-degree monomial support. This paper shows that the determinant of the Dixon coefficient matrix persists as an A -resultant after rectangular corner cutting, that is, the removal of one or more rectangular sub-supports at the ...
openaire   +1 more source