Results 51 to 60 of about 396,927 (287)

Theory of linear G-difference equations [PDF]

, 1997
We introduce the notion of difference equation defined on a structured set. The symmetry group of the structure determines the set of difference operators.
Jakobsen, Per K., Lychagin, Valentin V.
core   +1 more source

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

Advanced Robotics Research, EarlyView.
A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun, Liang Zhang, Jianwen Zeng, Xuefeng Wang   +3 more
wiley   +1 more source

Clifford's Algebraic Approach in Determining the Direction of Qibla

Noumerico
While classical methods and hisab methods based on spherical trigonometry and vector algebra are commonly used, this article introduces a more elegant, purely geometric alternative using Clifford Algebra (within the framework of Geometric Algebra).
Muhamad Imam Mutamaqin, Muhamad Safa’udin   +1 more
doaj   +1 more source

Optimization of Complex Function Expansions for Gauss-Krüger Projections

ISPRS International Journal of Geo-Information, 2022
Compared with complex and lengthy Gauss-Krüger projection series expansions and real number expressions, we improve the complex function representation of Gauss-Krüger projections and rewrite them into the “multiple Angle form”, “exponential form”, and ...
Xiaoyong Li, Houpu Li, Guohui Liu, Shaofeng Bian   +3 more
doaj   +1 more source

A State‐Adaptive Koopman Control Framework for Real‐Time Deformable Tool Manipulation in Robotic Environmental Swabbing

Advanced Robotics Research, EarlyView.
This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi, Amirreza Davar, Dongyi Wang   +2 more
wiley   +1 more source

On the Selection of Weights for Difference Schemes to Approximate Systems of Differential Equations

Mathematics
We consider the problem of determining the weights of difference schemes whose form is specified by a particular symbolic expression. The order of approximation of the differential equation is equal to a given number.
Viktor Kadrov, Mikhail Malykh, Alexander Zorin   +2 more
doaj   +1 more source

Lie group analysis of a generalized Krichever-Novikov differential-difference equation

, 2014
The symmetry algebra of the differential--difference equation $$\dot u_n = [P(u_n)u_{n+1}u_{n-1} + Q(u_n)(u_{n+1}+u_{n-1})+ R(u_n)]/(u_{n+1}-u_{n-1}),$$ where $P$, $Q$ and $R$ are arbitrary analytic functions is shown to have the dimension $1 \le \mbox ...
Decio Levi, Dorodnitsyn V. A., Eugenio Ricca, Ibragimov N. H., Krichever I. M., Krichever I. M., Meleshko S. V., Pavel Winternitz, Yamilov R. I., Zakharov V. E., Zora Thomova   +10 more
core   +1 more source

Spatial‐Wavelength Multiplexing Error‐Controlled Photonic Analog Computing System

Advanced Science, EarlyView.
A novel photonic integrated circuit prototype implementing the concept of general‐purpose analog computing and demonstrate its capability in radio frequency applications. The chip features a multichannel architecture and performs fully optical analog computation with frequency‐domain parallel processing. An FPGA‐based error‐correction algorithm aims to
Tao Zhu, Bowen Zhu, Shicheng Zhang, Keren Li, Xianchen Wu, Yazhi Pi, Jie Yan, Daigao Chen, Bingli Guo, Xi Xiao, Lei Wang, Xiaochuan Xu, Xuwei Xue, Shanguo Huang, Zizheng Cao, Shaohua Yu   +15 more
wiley   +1 more source

Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations

Symmetry, Integrability and Geometry: Methods and Applications, 2006
In this paper we present an algorithmic approach to the generation of fully conservative difference schemes for linear partial differential equations. The approach is based on enlargement of the equations in their integral conservation law form by extra ...
Vladimir P. Gerdt, Yuri A. Blinkov, Vladimir V. Mozzhilkin   +2 more
doaj  

Double-loop algebras and the Fock space [PDF]

, 1996
The fermionic Fock space admits two different actions of the quantized enveloping algebra of $\hat\sln$> The first one is a q-deformation of the well-known level-one representation of the affine Lie algebra and the second one is a new level-zero action ...
Varagnolo, M., Vasserot, E.
core   +2 more sources