Results 71 to 80 of about 3,136 (233)

Calculations on Lie Algebra of the Group of Affine Symplectomorphisms

Advances in Mathematical Physics, 2017
We find the image of the affine symplectic Lie algebra gn from the Leibniz homology HL⁎(gn) to the Lie algebra homology H⁎Lie(gn). The result shows that the image is the exterior algebra ∧⁎(wn) generated by the forms wn=∑i=1n(∂/∂xi∧∂/∂yi).
Zuhier Altawallbeh
doaj   +1 more source

Constructive algebraic topology

Bulletin des Sciences Mathématiques, 2002
The classical ``computation'' methods in Algebraic Topology most often work by means of highly infinite objects and in fact +are_not+ constructive. Typical examples are shown to describe the nature of the problem. The Rubio-Sergeraert solution for Constructive Algebraic Topology is recalled.
Rubio, J., Sergeraert, F.
openaire   +6 more sources

Machine learning‐driven advances in carbon‐based quantum dots: Opportunities accompanied by challenges

Responsive Materials, EarlyView.
Machine learning provides a unifying framework to connect structure, fluorescence properties, and applications of carbon‐based quantum dots. This review highlights how data‐driven strategies enable fluorescence regulation, reveal underlying mechanisms, and accelerate the rational design of functional carbon dots.
Liangfeng Chen, Siwei Yang, Xiangqian Cui, Ziheng Liu, Hang Wang, Yongqiang Li, Peng He, Miao Wang, Guqiao Ding   +8 more
wiley   +1 more source

T‐800: An 800 Hz Data Glove for Precise Hand Gesture Tracking

SmartBot, EarlyView.
Hand motion capture provides critical insights into human dexterity and facilitates advancements in robotic manipulation, yet existing systems are limited by a trade‐off between temporal resolution and visual occlusion. Here, the authors present T‐800, a high‐bandwidth data glove achieving synchronized full‐hand motion capturing at 800 Hz.
Haoyang Luo, Zihang Zhao, Leiyao Cui, Saiyao Zhang, Liu Yang, Zhi Han, Xiyuan Tang, Yixin Zhu   +7 more
wiley   +1 more source

Geometric properties of the family of p-parallel bodies

Analysis and Geometry in Metric Spaces
We study geometric properties of the family of p-parallel bodies of a convex body K with respect to a gauge body E. In particular, we investigate various regularity properties of their boundaries by means of their 0-extreme vectors, aiming for extensions
Hernández Cifre María A., Martínez Fernández Antonio R., Saorín Gómez Eugenia   +2 more
doaj   +1 more source

Analyzing Some Structural Properties of Topological B-Algebras

International Journal of Mathematics and Mathematical Sciences, 2019
In this study, we investigate the topology on B-algebras: an algebraic system of propositional logic. We define here the notion of topological B-algebras (briefly, TB-algebras) and some properties are investigated. A characterization of TB-algebras based
Narciso C. Gonzaga
doaj   +1 more source

Stability Modelling and Analysis of an Integrated Wind‐PV‐Storage Power System: A Small‐Signal Approach Using Multi‐Coordinate System Consistency Transformation

Energy Internet, EarlyView.
ABSTRACT With growing energy demand and depletion of fossil fuels, renewable energy development is crucial for achieving dual‐carbon goals. This paper focuses on small‐signal modelling and stability analysis of a grid‐connected wind‐PV‐storage system.
Puyu Wang, Pengyu Bo, Xujie Tang, Wu Tong, Yibo Wang, Xiance Zhu, Zhiyu Cao, Xiao‐Ping Zhang   +7 more
wiley   +1 more source

Zero‐Current Switching Based Model Predictive Control of a Double‐Extended Overlapped Alternate Arm Converter Used in the VSC–HVDC System

High Voltage, EarlyView.
ABSTRACT The alternate arm converter (AAC) is one of the most efficient multilevel topologies based on voltage source converters (VSCs), which has recently gained attention in various applications, particularly in high voltage direct current (HVDC) systems.
Ehsan Akbari, Milad Samady Shadlu
wiley   +1 more source

Method and Algorithms for Computing Fuzzy Fréchet and Hausdorff Distance

Mathematics
Accurate image similarity assessment is a key problem in computer vision, particularly in segmentation and classification problems. Classical Hausdorff and Fréchet metrics provide pointwise distance values and do not allow similarity to be evaluated in ...
Mykhailo Zarichnyi, Oleh Berezsky, Mykola Berezkyi, Vasyl Teslyuk   +3 more
doaj   +1 more source

Hierarchical Optimization of the As‐Rigid‐As‐Possible Energy

Computer Graphics Forum, EarlyView.
Abstract The As‐Rigid‐As‐Possible (ARAP) energy [SA07] has become a versatile ingredient in various geometry processing and machine learning methods. The classic method for its minimization is a block coordinate descent, alternating between local rotation estimation and a global linear solve, which converges slowly for large problem instances.
Hendrik Meyer, Bernd Bickel, Marc Alexa
wiley   +1 more source