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The usual concept of shape invariance is discussed and one extension of this concept is suggested.

High Energy Physics - Theory · Physics 2007-05-23 Elso Drigo Filho , Regina Maria Ricotta

This article examines the shape of a surface obtained by a hanging flexible, inelastic material with prescribed area and boundary curve. The shape of this surface, after being turned upside down, is a model for cupolas (or domes) under the…

History and Overview · Mathematics 2021-11-16 Rafael López

Pattern formation of sound is predicted in a driven resonator where subharmonic generation takes place. A model allowing for diffraction of the fields (large-aspect ratio limit) is derived by means of the multiple scale expansions…

Pattern Formation and Solitons · Physics 2009-11-11 Isabel Perez-Arjona , Victor J. Sanchez-Morcillo

Generative spoken language models produce speech in a wide range of voices, prosody, and recording conditions, seemingly approaching the diversity of natural speech. However, the extent to which generated speech is acoustically diverse…

Audio and Speech Processing · Electrical Eng. & Systems 2025-03-12 Matthieu Futeral , Andrea Agostinelli , Marco Tagliasacchi , Neil Zeghidour , Eugene Kharitonov

This colloquium addresses the issue of the shape of hadrons and in particular that of the proton. The concept of shape in the microcosm is critically examined. Special attention is devoted to properly define the meaning of shape for…

High Energy Physics - Phenomenology · Physics 2012-01-24 C. Alexandrou , C. N. Papanicolas , M. Vanderhaeghen

We use an extension of Sunada's theorem to construct a nonisometric pair of isospectral simply connected domains in the Euclidean plane, thus answering negatively Kac's question, ``can one hear the shape of a drum?'' In order to construct…

Differential Geometry · Mathematics 2008-02-03 Carolyn Gordon , David L. Webb , Scott Wolpert

We present a framework for experimentally linking speech production and hearing. Using this approach, we describe experimental results, that lead to the concept that sounds made by different individuals and perceived to be the same can be…

Audio and Speech Processing · Electrical Eng. & Systems 2024-02-20 Srinivasan Umesh , Leon Cohen , Douglas Nelson

We study generation of acoustic waves by a precessing spin of a nanoparticle deposited on the surface of a solid. Our approach elucidates macroscopic dynamics of the Einstein - de Haas effect. It is based upon solution of parameter-free…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 R. Zarzuela , E. M. Chudnovsky

We survey the close relationship between sound and light rays and geometry. In the case where the medium is at rest, the geometry is the classical geometry of Riemann. In the case where the medium is moving, the more general geometry known…

General Relativity and Quantum Cosmology · Physics 2011-05-09 G. W. Gibbons , C. M. Warnick

The apparent random outcome of a quantum measurement is conjectured to be fundamentally determined by the microscopic state of the macroscopic measurement apparatus. The apparatus state thus plays the role of a hidden variable which, in…

Quantum Physics · Physics 2017-03-22 Jean-Marc Sparenberg , Réda Nour , Aylin Manço

The velocity and pressure of an ultrasonic wave can be measured by an electromagnetic hydrophone made of a thin wire and a magnet. The ultrasonic wave vibrates the wire inside a magnetic field, inducing an electrical current. Previous…

Classical Physics · Physics 2012-07-03 Pol Grasland-Mongrain , Bruno Gilles , Jean-Martial Mari , Jean-Yves Chapelon , Cyril Lafon

Acoustic levitation is frequently used for non-contact manipulation of objects and to study the impact of microgravity on physical and biological processes. While the force field produced by sound pressure lifts particles against gravity…

Soft Condensed Matter · Physics 2024-12-19 Nina M. Brown , Bryan VanSaders , Jason M. Kronenfeld , Joseph M. DeSimone , Heinrich M. Jaeger

People often listen to music in noisy environments, seeking to isolate themselves from ambient sounds. Indeed, a music signal can mask some of the noise's frequency components due to the effect of simultaneous masking. In this article, we…

Sound · Computer Science 2025-02-26 Clémentine Berger , Roland Badeau , Slim Essid

Measure structured deformations are introduced to present a unified theory of deformations of continua. The energy associated with a measure structured deformation is defined via relaxation departing either from energies associated with…

Analysis of PDEs · Mathematics 2024-02-23 stefan Krömer , Martin Kružík , Marco Morandotti , Elvira Zappale

Surface acoustic wave (SAW) is utilized in diverse fields ranging from physics, engineering, to biology, for transducing, sensing and processing various signals. Optical measurement of SAW provides valuable information since the amplitude…

Applied Physics · Physics 2021-11-09 Kotaro Taga , Ryusuke Hisatomi , Yuichi Ohnuma , Ryo Sasaki , Teruo Ono , Yasunobu Nakamura , Koji Usami

Construction of in vitro vascular models is of great significance to various biomedical research, such as pharmacokinetics and hemodynamics, thus is an important direction in tissue engineering. In this work, a standing surface acoustic…

Medical Physics · Physics 2023-08-21 Yue Wu , Yuwen Zhao , Khayrul Islam , Yuyuan Zhou , Saeed Omidi , Yevgeny Berdichevsky , Yaling Liu

Acoustically vaporizable droplets are phase-change agents that can improve the effectiveness of ultrasound-based therapies. In this study, we demonstrate that the compression part of an acoustic wave can generate tension that initiates the…

Fluid Dynamics · Physics 2025-07-02 Samuele Fiorini , Anunay Prasanna , Gazendra Shakya , Marco Cattaneo , Outi Supponen

The chord length probability density of the regular octahedron is explicitly evaluated throughout its full range of distances by separating it into three contributions respectively due to the pairs of facets opposite to each other or…

Mathematical Physics · Physics 2014-02-11 Salvino Ciccariello

Inpainting has recently been proposed as a successful deep learning technique for unsupervised medical image model discovery. The masks used for inpainting are generally independent of the dataset and are not tailored to perform on…

Image and Video Processing · Electrical Eng. & Systems 2022-07-14 Yousef Yeganeh , Azade Farshad , Nassir Navab

The acoustic space in which a sound is created and heard plays an essential role in how that sound is perceived by affording a unique sense of \textit{presence}. Every sound we hear results from successive convolution operations intrinsic…

Sound · Computer Science 2022-11-02 Prateek Verma , Chris Chafe , Jonathan Berger