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In this article we would like to consider some approaches to non-integer integro-differentiations and its implementation in computer algebra system Wolfram Mathematics.

History and Overview · Mathematics 2024-08-29 O. I. Marichev , E. L. Shishkina

Holographic optical tweezers can be applied to manipulate microscopic particles in arbitrary optical patterns, which classical optical tweezers cannot do. This ability relies on accurate computer-generated holography (CGH), yet most CGH…

Optics · Physics 2019-10-21 Xionggui Tang , Fan Nan , Fei Han , Zijie Yan

Scanning Transmission Electron Microscopy (STEM) is a critical tool for imaging the properties of materials and biological specimens at atomic scale, yet our understanding of relevant electron beam damage mechanisms is incomplete. Recent…

Signal Processing · Electrical Eng. & Systems 2025-07-02 Amir Javadi Rad , Amirafshar Moshtaghpour , Dongdong Chen , Angus I. Kirkland

Advances in micro-technology of the last years have made it possible to carry optics textbooks experiments over to atomic and molecular beams, such as diffraction by a double slit or transmission grating. The usual wave-optical approach…

Quantum Physics · Physics 2017-08-23 Gerhard C. Hegerfeldt , Thorsten Koehler

The MORPHOLO C++ extended Library allows to convert a specific stereoscopic snapshot into a Native multi-view image through morphing algorithms taking into account display calibration data for specific slanted lenticular 3D monitors.…

Computer Vision and Pattern Recognition · Computer Science 2019-12-10 Enrique Canessa , Livio Tenze

The design of astronomical hardware operating at the diffraction limit requires optimisation of physical optical simulations of the instrument with respect to desired figures of merit, such as photometric or astrometric precision. System…

Instrumentation and Methods for Astrophysics · Physics 2026-04-02 Louis Desdoigts , Benjamin Pope , Michael Gully-Santiago , Peter Tuthill

Chapter 1 gives a brief history of the field of holography along with an overview of this thesis. A more detailed description of holography is provided in Chapter 2 along with a discussion of digital holography. Chapter 3 examines the…

Optics · Physics 2009-09-30 John Tapsell

Optical computing could reduce the energy cost of artificial intelligence by leveraging the parallelism and propagation speed of light. However, implementing nonlinear activation, essential for machine learning, remains challenging in…

Optics · Physics 2026-01-01 Bahadır Utku Kesgin , Gülsüm Yaren Durdu , Uğur Teğin

Artificial intelligence (AI) has rapidly evolved into a critical technology; however, electrical hardware struggles to keep pace with the exponential growth of AI models. Free space optical hardware provides alternative approaches for…

Optics · Physics 2025-10-07 Xue Dong , Kai Lion , Fei Xia , YoonSeok Baek , Ziao Wang , Niao He , Sylvain Gigan

Last several years, GPUs are used to accelerate computations in many computer science domains. We focused on GPU accelerated Support Vector Machines (SVM) training with non-linear kernel functions. We had searched for all available GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-21 Jan Vanek , Josef Michalek , Josef Psutka

The article deals with a kind of recursive function templates in C++, where the recursion is realized corresponding template parameters to achieve better computational performance. Some specialization of these template functions ends the…

Mathematical Software · Computer Science 2007-05-23 Volodymyr Myrnyy

Teaching object-oriented programming in an introductory programming course poses considerable challenges to the instructor. An often advocated approach to meeting this challenge is the use of a simple, object-oriented graphics library. We…

Computers and Society · Computer Science 2007-05-23 Bruce R. Childers , James P. Cohoon , Jack W. Davidson , Peter Valle

Realizing a large-scale quantum computer requires hardware platforms that can simultaneously achieve universality, scalability, and fault tolerance. As a viable pathway to meeting these requirements, quantum computation based on…

Quantum Physics · Physics 2022-02-15 Kosuke Fukui , Shuntaro Takeda

Aboria is a powerful and flexible C++ library for the implementation of particle-based numerical methods. The particles in such methods can represent actual particles (e.g. Molecular Dynamics) or abstract particles used to discretise a…

Mathematical Software · Computer Science 2017-10-13 Martin Robinson , Maria Bruna

Cosmological inference from cluster number counts is systematically limited by the accuracy of the mass calibration, i.e. the empirical determination of the mapping between cluster selection observables and halo mass. In this work we…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-21 Sebastian Grandis , Sebastian Bocquet , Joseph J. Mohr , Matthias Klein , Klaus Dolag

A ground-layer adaptive optics system (GLAO) uses a single adaptive mirror to partially correct the wavefront for atmospheric and telescope aberrations over a wide field of view. Instead of reaching diffraction limit on a narrow field, the…

Instrumentation and Methods for Astrophysics · Physics 2017-06-02 Donald Gavel

We calculate the optical diffraction radiation generated by a bunch of high energy particles as they pass through a round hole within an annular metallic ring. We derive expressions for the differential angular spectrum in the far-field and…

Accelerator Physics · Physics 2008-08-29 Tanaji Sen

In this paper, we study an application of deep learning to the advanced LIGO and advanced Virgo coincident detection of gravitational waves (GWs) from compact binary star mergers. This deep learning method is an extension of the Deep…

Instrumentation and Methods for Astrophysics · Physics 2019-02-20 Xilong Fan , Jin Li , Xin Li , Yuanhong Zhong , Junwei Cao

In this paper, we propose a simple hybrid WENO scheme to increase computational efficiency and decrease numerical dissipation. Based on the characteristic-wise approach, the scheme switches the numerical flux of each characteristic…

Fluid Dynamics · Physics 2018-02-13 X. Y. Hu , B. Wang , N. A. Adams

Optical machine learning offers advantages in terms of power efficiency, scalability and computation speed. Recently, an optical machine learning method based on Diffractive Deep Neural Networks (D2NNs) has been introduced to execute a…

Neural and Evolutionary Computing · Computer Science 2019-06-11 Deniz Mengu , Yi Luo , Yair Rivenson , Aydogan Ozcan
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