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of 480
pro vyhledávání: '"13p25"'
This paper presents an advanced method for addressing the inverse kinematics and optimal path planning challenges in robot manipulators. The inverse kinematics problem involves determining the joint angles for a given position and orientation of the
Externí odkaz:
http://arxiv.org/abs/2412.18294
Autor:
Shpakivskyi, Vitalii
The infinite-dimensional family of exact solutions of the Klein--Gordon equation is constructed by the hypercomplex method.
Externí odkaz:
http://arxiv.org/abs/2412.05414
Solving systems of partial differential equations (PDEs) is a fundamental task in computational science, traditionally addressed by numerical solvers. Recent advancements have introduced neural operators and physics-informed neural networks (PINNs) t
Externí odkaz:
http://arxiv.org/abs/2411.16663
Autor:
Kosta, Dimitra, Windisch, Daniel
The log canonical threshold (lct) is a fundamental invariant in birational geometry, essential for understanding the complexity of singularities in algebraic varieties. Its real counterpart, the real log canonical threshold (rlct), also known as the
Externí odkaz:
http://arxiv.org/abs/2411.13392
We develop novel tools for computing the likelihood correspondence of an arrangement of hypersurfaces in a projective space. This uses the module of logarithmic derivations. This object is well-studied in the linear case, when the hypersurfaces are h
Externí odkaz:
http://arxiv.org/abs/2411.09508
Autor:
Boege, Tobias, Solus, Liam
We derive an implicit description of the image of a semialgebraic set under a birational map, provided that the denominators of the map are positive on the set. For statistical models which are globally rationally identifiable, this yields model-defi
Externí odkaz:
http://arxiv.org/abs/2410.23102
Autor:
Jung, Minchan, Kim, Kwangki
This paper introduces the Bidirectional Clustered MPPI (BiC-MPPI) algorithm, a novel trajectory optimization method aimed at enhancing goal-directed guidance within the Model Predictive Path Integral (MPPI) framework. BiC-MPPI incorporates bidirectio
Externí odkaz:
http://arxiv.org/abs/2410.06493
Autor:
Lotter, Felix, Schmitz, Leonard
We prove that, unlike in the case of paths, the signature matrix of a membrane does not satisfy any algebraic relations. We derive novel closed-form expressions for the signatures of polynomial membranes and piecewise bilinear interpolations for arbi
Externí odkaz:
http://arxiv.org/abs/2409.11996
Using an original method, we find the algebra of generalized symmetries of a remarkable (1+2)-dimensional ultraparabolic Fokker-Planck equation, which is also called the Kolmogorov equation and is singled out within the entire class of ultraparabolic
Externí odkaz:
http://arxiv.org/abs/2409.10348
Autor:
Kahle, Thomas, Vill, Julian
We propose an effective algorithm that decides if a prime ideal in a polynomial ring over the complex numbers can be transformed into a toric ideal by a linear automorphism of the ambient space. If this is the case, the algorithm computes such a tran
Externí odkaz:
http://arxiv.org/abs/2408.14323