Results 51 to 60 of about 469 (136)

The Cheeger constant of curved strips

, 2011
We study the Cheeger constant and Cheeger set for domains obtained as strip-like neighbourhoods of curves in the plane. If the reference curve is complete and finite (a "curved annulus"), then the strip itself is a Cheeger set and the Cheeger constant ...
Krejcirik, David, Pratelli, Aldo
core   +1 more source

Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito, Andrea Rivezzi, Jonas Schnitzer, Thomas Weber   +3 more
wiley   +1 more source

Multidimensional Quadrilateral Lattices are Integrable

, 1996
The notion of multidimensional quadrilateral lattice is introduced. It is shown that such a lattice is characterized by a system of integrable discrete nonlinear equations. Different useful formulations of the system are given. The geometric construction
Ablowitz, Ablowitz, Adam Doliwa, Bianchi, Bobenko, Bobenko, Bobenko, Bogdanov, Calogero, Capel, Cieśliński, Darboux, Date, Doliwa, Doliwa, Doliwa, Faddeev, Faddeev, Hirota, Konopelchenko, Konopelchenko, Korepin, Levi, Maãs, Newell, Nijhoff, Paolo Maria Santini, Pedit, Quispel, Ramani, Sauer, Sym, Zakharov, Zakharov, Zakharov, Zakharov   +35 more
core   +2 more sources

Bounds for generalized normalized δ-Casorati curvatures for submanifolds in Bochner Kaehler manifold

Filomat, 2018
In this paper, we prove sharp inequalities between the normalized scalar curvature and the generalized normalized ?-Casorati curvatures for different submanifolds in Bochner Kaehler manifold. Moreover, We also characterize submanifolds on which the equalities hold.
Aquib, Mohd., Shahid, Mohammad Hasan
openaire   +2 more sources

Optoacoustic‐Guided Magnetic Microrobot Platform for Precision Drug Delivery

Advanced Materials, Volume 38, Issue 5, 22 January 2026.
Optoacoustically guided FePt@ZIF‐8‐based microrobots are designed with high drug loading capacity, controllable locomotion, and deep‐tissue imaging capability. By integrating navigation, drug release, and real‐time monitoring into a single platform, they provide a versatile tool for precise intervention, opening new possibilities for treating ...
Fan Wang, Erdost Yildiz, Xosé Luís Deán‐Ben, Yan Yu, Daniil Nozdriukhin, Wenbin Kang, Shuaizhong Zhang, Jelena Zinnanti, Devin Sheehan, Ren Hao Soon, Shuxin Lyu, Daniel Razansky, Metin Sitti   +12 more
wiley   +1 more source

A survey of Hirota's difference equations

, 1997
A review of selected topics in Hirota's bilinear difference equation (HBDE) is given. This famous 3-dimensional difference equation is known to provide a canonical integrable discretization for most important types of soliton equations.
A. Bobenko, A. Klümper, A. Kuniba, A. Orlov, A. Orlov, A. V. Zabrodin, A. Yu. Volkov, A. Zabrodin, Al. B. Zamolodchikov, B. A. Dubrovin, B. A. Dubrovin, D. Lebedev, E. Date, E. Date, E. Date, E. Date, F. Ravanini, G. Segal, I. M. Krichever, I. M. Krichever, K. Ueno, L. D. Faddeev, M. J. Martins, M. Jimbo, M. L. Kontsevich, M. Sato, R. Hirota, R. Hirota, R. Hirota, R. Hirota, R. Hirota, R. Hirota, R. Hirota, S. Kharchev, S. Kharchev, S. N. M. Ruijsenaars, S. Saito, T. Miwa, V. B. Matveev, V. B. Matveev, V. Spiridonov, Y. Ohta, Yu. Suris, Yu. Suris   +43 more
core   +2 more sources

Inequalities for the Casorati Curvatures of Real Hypersurfaces in Some Grassmannians

Taiwanese Journal of Mathematics, 2018
12 ...
openaire   +4 more sources

Dynamic contrast enhanced‐magnetic resonance fingerprinting (DCE‐MRF): A new quantitative MRI method to reliably assess tumor vascular perfusion

Magnetic Resonance in Medicine, Volume 94, Issue 6, Page 2578-2592, December 2025.
Abstract Purpose The clinical utility of conventional DCE‐MRI methods is limited by the use of conventional qualitative dynamic T1‐weighted images, resulting in poor reproducibility. This study presents the initial implementation of a new DCE‐magnetic resonance fingerprinting (DCE‐MRF) methodology to provide reproducible, quantitative assessments of ...
Christina J. MacAskill, Yuran Zhu, Guanhua Wang, Bernadette O. Erokwu, Chetan B. Dhakan, Andrew Dupuis, Barbara J. Schiemann, Michael Kavran, Chunying Wu, William P. Schiemann, Mark A. Griswold, Xin Yu, Mark D. Pagel, Chris A. Flask   +13 more
wiley   +1 more source

Looking backward: From Euler to Riemann

, 2017
We survey the main ideas in the early history of the subjects on which Riemann worked and that led to some of his most important discoveries. The subjects discussed include the theory of functions of a complex variable, elliptic and Abelian integrals ...
A Papadopoulos, A Weil, A Weil, AB Kempe, AB Niewenglowski, AP Youschkevitch, AW Knapp, B Riemann, B Riemann, B Riemann, B Riemann, C Huffman, CF Gauss, GH Moore, GW Leibniz, H Grassmann, H Lebesgue, H Lebesgue, H Poincaré, I Kant, J Dutka, J-C Pont, J-L-F Bertrand, J-M Thiel, J-P-F Valat, JD Gergonne, KA Andreiev, L Poinsot, L Poinsot, LJ Goldstein, LV Ahlfors, M Feil, NH Abel, NL Biggs, NV Bougaïev, O Rodrigues, P Appell, P Carus, P Hilton, P-M-E Prouhet, P-M-E Prouhet, PH Fuss, R Descartes, R Remmert, R Thom, S-A-J Lhuillier, S-D Poisson, WP Thurston, É Picard   +48 more
core   +1 more source

Comparison of Low‐Rank Denoising Methods for Dynamic Deuterium MRSI at 7 T

NMR in Biomedicine, Volume 38, Issue 10, October 2025.
Six low‐rank denoising methods for dynamic 2H‐MRSI were compared using simulated and in vivo data: Global PS, Local PS, Stacked PS, SPIN‐SVD, GL‐HOSVD and tMPPCA. SPIN‐SVD performed best in simulations, while SPIN‐SVD, GL‐HOSVD and tMPPCA performed well in vivo. GL‐HOSVD and tMPPCA performed similarly, with tMPPCA preferred for computational efficiency.
Anna Duguid, Fabian Niess, Wolfgang Bogner, Lukas Hingerl, Viola Bader, Sabina Frese, Aaron Osburg, Bernard Lanz, Brayan Alves, Cristina Cudalbu, Simon Daniel Robinson, Korbinian Eckstein, Bernhard Strasser   +12 more
wiley   +1 more source