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Related papers: Creative Telescoping for Holonomic Functions

200 papers

We show that the number of digits in the integers of a creative telescoping relation of expected minimal order for a bivariate proper hypergeometric term has essentially cubic growth with the problem size. For telescopers of higher order…

Symbolic Computation · Computer Science 2014-02-25 Manuel Kauers , Lily Yen

Long-baseline interferometry and high-resolution spectroscopy are two examples of areas that have benefited from astrophotonics devices, but the application range is expanding to other subareas and other wavelength ranges. The VLTI has been…

Instrumentation and Methods for Astrophysics · Physics 2025-11-26 Lucas Labadie

We review the relatively new, internet-enabled, and rapidly-evolving field of citizen science, focusing on research projects in stellar, extragalactic and solar system astronomy that have benefited from the participation of members of the…

Instrumentation and Methods for Astrophysics · Physics 2015-09-23 Philip J. Marshall , Chris J. Lintott , Leigh N. Fletcher

Optical designs for astronomy involve implementation of active optics and adaptive optics from X-ray to the infrared. Developments and results of active optics methods for telescopes, spectrographs and coronagraph planet finders are…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Gerard R. Lemaitre

Zeilberger's method of creative telescoping is crucial for the computer-generated proofs of combinatorial and special-function identities. Telescopers are linear differential or ($q$-)recurrence operators computed by algorithms for creative…

Symbolic Computation · Computer Science 2020-02-18 Shaoshi Chen , Lixin Du , Rong-Hua Wang , Chaochao Zhu

Adaptive Optics is a prime example of how progress in observational astronomy can be driven by technological developments. At many observatories it is now considered to be part of a standard instrumentation suite, enabling ground-based…

Instrumentation and Methods for Astrophysics · Physics 2015-06-03 R. Davies , M. Kasper

The goal of this article is to introduce some beautiful known riddles in intuitive topology; hoping to make at least some fun for the reader.

General Topology · Mathematics 2010-05-21 Ruhollah Tavakoli

Interferometry has brought many new constraints in optical astronomy in the recent years. A major leap in this field is the opening of large interferometric facilities like the Very Large Telescope Interferometer and the Keck Interferometer…

Astrophysics · Physics 2007-05-23 F. Malbet

To meet the scientific goals of the Thirty Meter Telescope Project, full diffraction-limited performance is required from the outset and hence the entire observatory is being designed, as a system, to achieve this. The preliminary design…

Astrophysics · Physics 2009-11-13 David Crampton , Luc Simard , David Silva

In this State of the Profession Consideration, we will discuss the state of hands-on observing within the profession, including: information about professional observing trends; student telescope training, beginning at the undergraduate and…

Instrumentation and Methods for Astrophysics · Physics 2019-07-16 D. G. Whelan , G. C. Privon , R. L. Beaton , M. Bentz , S. D. Chojnowski , J. Labadie-Bartz , G. Mace , R. Maderak , S. R. Majewski , D. Nidever , J. Webb

Hallucinations in large language models (LLMs) are always seen as limitations. However, could they also be a source of creativity? This survey explores this possibility, suggesting that hallucinations may contribute to LLM application by…

Artificial Intelligence · Computer Science 2024-02-13 Xuhui Jiang , Yuxing Tian , Fengrui Hua , Chengjin Xu , Yuanzhuo Wang , Jian Guo

We review the potential of Astrophotonics, a relatively young field at the interface between photonics and astronomical instrumentation, for spectro-interferometry. We review some fundamental aspects of photonic science that drove the emer-…

Recent machine learning techniques can be modified to produce creative results. Those results did not exist before; it is not a trivial combination of the data which was fed into the machine learning system. The obtained results come in…

Computer Vision and Pattern Recognition · Computer Science 2016-01-15 Martin Thoma

Assessing the impact of astronomical facilities rests upon an evaluation of the scientific discoveries which their data have enabled. Telescope bibliographies, which link data products with the literature, provide a way to use bibliometrics…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Alberto Accomazzi , Edwin Henneken , Christopher Erdmann , Arnold Rots

The discovery of cosmic radio emission by Karl Jansky in the course of searching for the source of interference to telephone communications and the instrumental advances which followed, have led to a series of new paradigm changing…

Instrumentation and Methods for Astrophysics · Physics 2016-09-08 K. I. Kellermann , J. M. Cordes , R. D. Ekers , J. Lazio , P. Wilkinson

Radio astronomy has entered its golden era, with many revolutionary facilities such as SKA, ngVLA, and LOFAR2.0 coming online in the next decade. These facilities are certain to redefine radio astronomy. However, on smaller scales-such as…

Instrumentation and Methods for Astrophysics · Physics 2025-06-30 G B Raghavkrishna , Deeptangshu Banik , B Ravi Kumar , D Veeraswamy

The study of the Universe and all its contents, the physical phenomena and the evolution of the sky objects has always attracted the Humanity. The Astronomy begins to try to explain these things, others sciences too. Therefore, we think a…

Physics Education · Physics 2020-03-10 Vinicius A Oliveira

This is a presentation of the purpose of astronomy in the context of modern society. After exposing two misconceptions about astronomy, I detail its role in five domains, certified knowledge, incorporated abilities, innovations, collective…

Astrophysics · Physics 2009-10-28 Emmanuel Davoust

This piece has been written for local, educational purposes. If you are like me searching for the right words to explain your fascination with high Tc superconductivity to the outside world, you might find something useful in this text.

Strongly Correlated Electrons · Physics 2007-05-23 J. Zaanen

Revisiting the old problem of existence of interacting models of QFT with new conceptual ideas and mathematical tools, one arrives at a novel view about the nature of QFT. The recent success of algebraic methods in establishing the…

High Energy Physics - Theory · Physics 2008-01-08 Bert Schroer