Results 31 to 40 of about 2,777,888 (247)

Artificial Intelligence Meets Micro/Nanorobotics

Advanced Materials, EarlyView.
Artificial intelligence is transforming micro‐ and nanorobots from externally controlled, task‐specific machines into adaptive, autonomous systems. Machine learning, multimodal perception, digital twins, AI‐guided materials and geometry design enhance propulsion, localization, decision‐making, whichaccelerates clinical and environmental applications ...
Fatma M. Yurtsever, Minitha Cherukutty Ramakrishnan, Ian Kuula Ross, Ivan Zelinka, Hamed Shahsavan, Michal Otyepka, Martin Pumera   +6 more
wiley   +1 more source

Explicit algebraic solution of Zolotarev's First Problem for low-degree polynomials

Journal of Numerical Analysis and Approximation Theory, 2019
E.I. Zolotarev's classical so-called First Problem (ZFP), which was posed to him by P.L. Chebyshev, is to determine, for a given \(n\in{\mathbb N}\backslash\{1\}\) and for a given \(s\in{\mathbb R}\backslash\{0\}\), the monic polynomial solution \(Z ...
Heinz Joachim Rack, Robert Vajda
doaj   +7 more sources

Novel Approach to Degree, Balancedness, and Affine Equivalence of Boolean Functions and Construction of a Special Class of Non-Quadratic Balanced Boolean Functions

Cryptography
In several stream cipher designs, Boolean functions (BFs) play a crucial role as non-linear components, either serving as filtering functions or being used within the combining process.
Sunil Kumar, Dharminder Chaudhary, S. A. Lakshmanan, Cheng-Chi Lee   +3 more
doaj   +1 more source

Some examples of algebraic surfaces with canonical map of degree 20

Comptes Rendus. Mathématique, 2021
In this note, we construct two minimal surfaces of general type with geometric genus $ p_g = 3 $, irregularity $ q = 0 $, self-intersection of the canonical divisor $ K^2 = 20, 24 $ such that their canonical map is of degree $ 20 $.
Bin, Nguyen
doaj   +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

The Euclidean distance degree of an algebraic variety [PDF]

, 2016
The nearest point map of a real algebraic variety with respect to Euclidean distance is an algebraic function. For instance, for varieties of low-rank matrices, the Eckart–Young Theorem states that this map is given by the singular value decomposition ...
Horobet, E Emil, Ottaviani, G., Sturmfels, B, Thomas, RR, Horobet, Emil, Draisma, J. (Jan), Thomas, R.R. (Rekha), Sturmfels, B., Draisma, Jan, Sturmfels, Bernd, Horobet, E., Thomas, Rekha, Thomas, R, Ottaviani, G. (Giorgio), Horobeţ, E. (Emil), Ottaviani, G, Thomas, R.R., Ottaviani, Giorgio, Draisma, J., Thomas, Rekha R., Draisma, J Jan   +20 more
core   +3 more sources

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

Computing degree based topological indices of algebraic hypergraphs

Heliyon
Topological indices are numerical parameters that indicate the topology of graphs or hypergraphs. A hypergraph H=(V(H),E(H)) consists of a vertex set V(H) and an edge set E(H), where each edge e∈E(H) is a subset of V(H) with at least two elements.
Amal S. Alali, Esra Öztürk Sözen, Cihat Abdioğlu, Shakir Ali, Elif Eryaşar   +4 more
doaj   +1 more source

Contributions to the essential dimension of finite and algebraic groups [PDF]

, 2010
Essential dimension, introduced by Joe Buhler and Zinovy Reichstein and in its most general form by Alexander Merkurjev is a measure of complexity of algebraic objects such as quadratic forms, hermitian forms, central simple algebras and étale algebras ...
Lötscher, Roland
core   +1 more source

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source