Results 31 to 40 of about 66,959 (230)
A lower bound for nodal count on discrete and metric graphs
, 2006 According to a well-know theorem by Sturm, a vibrating string is divided into exactly N nodal intervals by zeros of its N-th eigenfunction. Courant showed that one half of Sturm's theorem for the strings applies to the theory of membranes: N-th ...
A.M. Duval +17 more
core +3 more sources
Eigenvalues of Toeplitz minimal systems of finite topological rank [PDF]
, 2014 In this article we characterize measure theoretical eigenvalues of Toeplitz Bratteli-Vershik minimal systems of finite topological rank which are not associated to a continuous eigenfunction.
Durand, Fabien +2 more
core +4 more sources
Periodic boudary-value problem for Hill's equation in the case of parametric resonance [PDF]
Компьютерные исследования и моделирование, 2014 Necessary and sufficient conditions for the existence of solutions of nonlinear nonautonomous periodic problem for Hills equation in the case of parametric resonance.
Petr Viktorovich Kulish +2 more
doaj +1 more source
Two-eigenfunction correlation in a multifractal metal and insulator
, 2007 We consider the correlation of two single-particle probability densities $|\Psi_{E}({\bf r})|^{2}$ at coinciding points ${\bf r}$ as a function of the energy separation $\omega=|E-E'|$ for disordered tight-binding lattice models (the Anderson models) and
A. D. Mirlin +10 more
core +1 more source
Advanced Science, EarlyView.Acoustic plasmons in Ti3C2Tx MXene strongly compress infrared electromagnetic fields and enhance light–matter interactions at the nanoscale. This platform couples broadband plasmon excitations with molecular vibrations, enabling simultaneous sensing of high‐ and low‐frequency vibrational modes in ultrathin PMMA and graphene oxide films, and extending ...
Changhoon Park +7 more
wiley +1 more source
A Hybrid Semi‐Inverse Variational and Machine Learning Approach for the Schrödinger Equation
Advanced Physics Research, EarlyView.A hybrid semi‐inverse variational and machine‐learning framework is presented for solving the Schrödinger equation with complex quantum potentials. Physics‐based variational solutions generate high‐quality training data, enabling Random Forest and Neural Network models to deliver near‐perfect energy predictions.
Khalid Reggab +5 more
wiley +1 more source
Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електронікаActuality. Recent decades have seen a rapid development of photonics. Therefore, scientific interest in the optical range of electromagnetic radiation continues to be relevant.
О.V. Kazanko +3 more
doaj +1 more source
On a boundary problem for the fourth order equation with the third derivative with respect to time
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper, we consider a boundary value problem in a rectangular domain for a fourth-order homogeneous partial differential equation containing the third derivative with respect to time. The uniqueness of the solution of the stated problem is proved
Yu.P. Apakov, D.M. Meliquzieva
doaj +1 more source
, 2021 من المعروف جيدًا أن الوظائف الذاتية يجب أن تكون مستمرة في كل نقطة فضاء من الهيكل الذي يتم توطينها فيه. هذه ليست القاعدة الوحيدة التي يتعين عليهم الوفاء بها. تُستخدم القواعد التي تنطوي على مشتقات الوظيفة الذاتية أيضًا بكميات كبيرة وعلى حدود جميع الأنظمة المادية. الهدف من هذا القسم هو محاولة الوصول إلى صياغة عامة لقواعد الوظيفة الذاتية.
L. Dobrzyński +3 more
openaire +1 more source
Regional Shopping Objectives in British Grocery Retail Transactions Using Segmented Topic Models
Applied Stochastic Models in Business and Industry, EarlyView.ABSTRACT Understanding the customer behaviours behind transactional data has high commercial value in the grocery retail industry. Customers generate millions of transactions every day, choosing and buying products to satisfy specific shopping needs.
Mariflor Vega Carrasco +4 more
wiley +1 more source