Results 71 to 80 of about 14,849 (264)
Indecomposability of polynomials via Jacobian matrix
Journal of Algebra, 2010 A multivariate polynomial is called decomposable if it can be written as a composition of a univariate polynomial of degree \(\geq 2\) and a multivariate polynomial. In the first section, deomposability is characterized by a rank condition of the so-called Jacobi-matrix of the polynomial. For characteristic zero, this criterion can be found in [\textit{
Chèze, Guillaume, Najib, S.
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Journal of Raman Spectroscopy, EarlyView.Raman spectra containing D/G features are fit using combinations of basis functions and initial conditions. Fits with two Lorentzian functions converged to a single optimized fit even with variation of initial peak positions. For five‐band fits, sometimes the final fit varied with initial conditions, and constraints on peak center position were ...
David C. Doughty, Steven C. Hill
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Polynomial Maps with strongly nilpotent Jacobian matrix and the Jacobian Conjecture [PDF]
, 1994 9 p.
Essen, A.R.P. van den, Hubbers, E.M.G.M.
openaire
NTECARS: A Nonthermal Equilibrium CARS Spectra Fitting Code
Journal of Raman Spectroscopy, EarlyView.We present NTECARS, an open‐source code written in Julia for the calculation and fitting of CARS spectra under nonequilibrium conditions. Rovibrational distributions can be flexibly modeled and fitted for different use cases. The code currently implements CO2$$ \mathrm{C}{\mathrm{O}}_2 $$ and N2$$ {\mathrm{N}}_2 $$ molecules and is validated under ...
Christian A. Busch, Uwe Czarnetzki
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Jixie chuandong, 2013 On the basis of inverse position solution,the statics property of a novel parallel mechanical leg is analyzed,the mechanical leg force Jacobian matrix is deduced by using vector method,and the Jacobian condit ion number is defined as statics performance ...
计时鸣, 李景敏, 李研彪, 刘毅
doaj
Machine Tool Design Optimization of High Resolution Parallel Hexapod in Cartesian Workspace [PDF]
International Journal of Advanced Design and Manufacturing Technology, 2011 In the research, six degrees of freedom Hexapod parallel machine tool is studied and investigated. Jacobian matrix is developed by cinematic relations differentiation and using weighted coefficient method, dimensional analysis operation is carried out on
Mir Amin Hosseini +1 more
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A new implementation for online calculation of manipulator Jacobian.
PLoS ONE, 2019 This paper describes a new implementation for calculating Jacobian and its time derivative for robot manipulators in real-time. The estimation of Jacobian is the key in the real-time implementation of kinematics and dynamics of complex planar or spatial ...
Pramod Chembrammel +1 more
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Controlling the Center of Mass Motion of Levitated Particles Using Structured Wavefronts
Laser &Photonics Reviews, EarlyView.Optically levitated particles have great potential for quantum‐enhanced sensing. Precise control of the trapping beam is crucial to improve the stability and confinement of these systems. Here, we study how structured wavefronts can be used to control the center‐of‐mass motion of levitated particles, enhancing trap stiffness and enabling stable ...
Shah Jee Rahman +7 more
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Engineering Photonic Pigments From Titania–Block Copolymer Composites
Macromolecular Rapid Communications, EarlyView.Ligand‐functionalized TiO2 nanoparticles selectively partition into P2VP‐rich lamellae of onion‐like PS‐b‐P2VP microspheres, increasing refractive index contrast while preserving concentric order through controlled self‐assembly. The resulting dry photonic pigments display defined Bragg reflections and angle‐robust structural color.
Niklas Rocca Schwarz +5 more
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