Results 91 to 100 of about 14,219 (239)

Hypergenerated Carnot groups

22 ...
Donne, Enrico Le, Nalon, Luca, Paddeu, Nicola, Verzellesi, Simone   +3 more
openaire   +2 more sources

Where Mathematical Symbols Come From

Topics in Cognitive Science, EarlyView.
Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley   +1 more source

Lipschitz and bilipschitz maps on Carnot groups [PDF]

Pacific Journal of Mathematics, 2013
Suppose A is an open subset of a Carnot group G, where G has a discrete analogue, and H is another Carnot group. We show that a Lipschitz function from A to H whose image has positive Hausdorff measure in the appropriate dimension is biLipschitz on a subset of A of positive Hausdorff measure.
openaire   +3 more sources

Thermionics in Topological Materials

Advanced Materials, Volume 37, Issue 36, September 11, 2025.
Thermionics is one of the fundamental energy conversion mechanisms in solid state systems. Recent development in topological materials opens new avenues in developing thermionic systems and devices. Due to the linear energy dispersion and topological protection of charge transport, these new materials are promising candidates for high efficiency ...
Sunchao Huang, Zihao Zhang, Youfeng Yang, Yuan Zheng, Abdullah Al‐Mamun, Shaomeng Wang, Zhi Li, Yubin Gong, Chao Zhang   +8 more
wiley   +1 more source

Partial interior regularity for sub-elliptic systems with Dini continuous coefficients in Carnot groups: the sub-quadratic controllable case

Boundary Value Problems, 2017
We consider nonlinear sub-elliptic systems with Dini continuous coefficients for the case 1 < m < 2 $1 ...
Dongni Liao, Jialin Wang, Qiang Yang, Shimin Wu   +3 more
doaj   +1 more source

AI‐Driven Defect Engineering for Advanced Thermoelectric Materials

Advanced Materials, Volume 37, Issue 35, September 4, 2025.
This review presents how AI accelerates the design of defect‐tuned thermoelectric materials. By integrating machine learning with high‐throughput data and physics‐informed representations, it enables efficient prediction of thermoelectric performance from complex defect landscapes.
Chu‐Liang Fu, Mouyang Cheng, Nguyen Tuan Hung, Eunbi Rha, Zhantao Chen, Ryotaro Okabe, Denisse Córdova Carrizales, Manasi Mandal, Yongqiang Cheng, Mingda Li   +9 more
wiley   +1 more source

Differential forms in Carnot groups: a variational approach

Bruno Pini Mathematical Analysis Seminar, 2011
Carnot groups (connected simply connected nilpotent stratified Lie groups) can be endowed with a complex of ``intrinsic'' differential forms. In this paper we want to provide an evidence of the intrinsic character of Rumin's complex, in the spirit of the
Annalisa Baldi
doaj  

Schrödinger–Hardy system without the Ambrosetti–Rabinowitz condition on Carnot groups

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we study the following Schrödinger–Hardy system \begin{equation*} \begin{cases} -\Delta_{\mathbb{G}}u-\mu\frac{\psi^2}{r(\xi)^2}u=F_u(\xi,u,v)\ &{\rm in}\ \Omega, \\ -\Delta_{\mathbb{G}}v-\nu\frac{\psi^2 }{r(\xi)^2}v=F_v(\xi,u,v)\
Wenjing Chen, Fang Yu
doaj   +1 more source

High‐Endurance and Energy‐Efficient All‐Optical Programming of Scalable Silicon Waveguides with Integrated Phase‐Change Material Patches

Advanced Optical Materials, Volume 13, Issue 25, September 3, 2025.
Phase change materials are integrated into silicon photonic circuits via 200 mm industrial wafer processes. Interferometric optical characterization reveals switching thresholds, transmission modulation, phase shifts, and record endurance (>108 cycles).
Rajath Sawant, Anthony Albanese, Arnaud Rogemont, Gregorio Gonzalez‐Cortes, Yoann Brûlé, Lara Karam, Jean‐Baptiste Jager, Stephane Malhouitre, Benoit Charbonnier, Aurélien Coillet, Pierre Noé, Benoit Cluzel   +11 more
wiley   +1 more source

Multiscale phytoplankton dynamics in a coastal system of the eastern English Channel: the Boulogne-sur-Mer coastal area [PDF]

Ocean Science
To study changes in phytoplankton community composition on different timescales, an automated flow cytometer (CytoSub, CytoBuoy b.v.) was deployed at the MAREL Carnot automated monitoring station in Boulogne-sur-Mer (eastern English Channel, France ...
K. Robache, Z. Hubert, C. Gallot, C. Gallot, A. Epinoux, A. P. Louchart, A. P. Louchart, J.-V. Facq, A. Lefebvre, M. Répécaud, V. Cornille, F. Verhaeghe, Y. Audinet, L. Brutier, F. G. Schmitt, L. F. Artigas   +15 more
doaj   +1 more source