Results 41 to 50 of about 25,672 (245)
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
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Comptes Rendus. MathématiqueIn this note we provide two special counterexamples to the strong real Jacobian Conjecture; the first one is surjective, the second one has non-dense image.
Fernandes, Filipe, Jelonek, Zbigniew
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Younger Mates and the Jacobian Conjecture [PDF]
Proceedings of the American Mathematical Society, 1995 Let F , G ∈ C [ x , y ] F,G \in \mathbb {C}[x,y] . If the Jacobian determinant of F and G is 1, then G is said to be a Jacobian mate of F. If, in addition, G has degree less than that of F, then G is said to be a younger mate of F.
Ching-An-Cheng, Charles +2 more
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Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.This article reviews the current state of bioinspired soft robotics. The article discusses soft actuators, soft sensors, materials selection, and control methods used in bioinspired soft robotics. It also highlights the challenges and future prospects of this field.
Abhirup Sarker +2 more
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Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.In this research, a paradigm of parameter estimation method for pneumatic soft hand control is proposed. The method includes the following: 1) sampling harmonic damping waves, 2) applying pseudo‐rigid body modeling and the logarithmic decrement method, and 3) deriving position and force control.
Haiyun Zhang +4 more
wiley +1 more source
Remarks on the Jacobian Conjecture
Journal of Algebra, 1997 Let \(F=(F_1,\dots,F_n),\;F_i\in\mathbb C[X_1,\dots,X_n] \) and \(\text{Jac}(F)\in\mathbb C^*\). Let \(M_i=m_{i0}(Y)+m_{i1}(Y)T+ \dots +m_{id_i}(Y)T^{d_i}_i \in \mathbb C[Y_1,\dots,Y_n,T] \) be the minimal polynomial of the algebraic dependence of \(F_1,\dots,F_n,X_i\) over \(\mathbb C\), i.e. the non-zero minimal irreducible polynomial such that \(M_i(
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Inverse degrees and the Jacobian conjecture [PDF]
Communications in Algebra, 1994 Bass, Connell and Wright proved that if the Jacobian Conjecture is true, then there exists a number C(d) such that for every A;-algebra A and every invertible polynomial map F : Ann -→ An with det(J(F)) = 1 the degree of F−1 is bounded by C(d). A year later Bass proved the converse. In this paper we give a short proof of this last result.
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Advanced Intelligent Systems, EarlyView.Variational Autoencoder+Deep Deterministic Policy Gradient addresses low‐light failures of infrared depth sensing for indoor robot navigation. Stage 1 pretrains an attention‐enhanced Variational Autoencoder (Convolutional Block Attention Module+Feature Pyramid Network) to map dark depth frames to a well‐lit reconstruction, yielding a 128‐D latent code ...
Uiseok Lee +7 more
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Complete verification of strong BSD for many modular abelian surfaces over ${\mathbf {Q}}$
Forum of Mathematics, SigmaWe develop the theory and algorithms necessary to be able to verify the strong Birch–Swinnerton-Dyer Conjecture for absolutely simple modular abelian varieties over ${\mathbf {Q}}$ . We apply our methods to all 28 Atkin–Lehner quotients of $X_0(
Timo Keller, Michael Stoll
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Representations and the Jacobian Conjecture
Journal of Pure and Applied Algebra, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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