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Geometric Interpretations Of The Discrete Fourier Transform Dft


Geometric Interpretations Of The Discrete Fourier Transform Dft
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Geometric Interpretations Of The Discrete Fourier Transform Dft


Geometric Interpretations Of The Discrete Fourier Transform Dft
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Author : C. Warren Campbell
language : en
Publisher:
Release Date : 1984

Geometric Interpretations Of The Discrete Fourier Transform Dft written by C. Warren Campbell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Fourier transformations categories.




Nasa Technical Paper


Nasa Technical Paper
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Author :
language : en
Publisher:
Release Date : 1984

Nasa Technical Paper written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Astronautics categories.




The Dft


The Dft
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Author : William L. Briggs
language : en
Publisher: SIAM
Release Date : 1995-01-01

The Dft written by William L. Briggs and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.


This book explores both the practical and theoretical aspects of the Discrete Fourier Transform, one of the most widely used tools in science, engineering, and computational mathematics. Designed to be accessible to an audience with diverse interests and mathematical backgrounds, the book is written in an informal style and is supported by many examples, figures, and problems. Conceived as an "owner's" manual, this comprehensive book covers such topics as the history of the DFT, derivations and properties of the DFT, comprehensive error analysis, issues concerning the implementation of the DFT in one and several dimensions, symmetric DFTs, a sample of DFT applications, and an overview of the FFT.



Scientific And Technical Aerospace Reports


Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1986

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Aeronautics categories.




Mathematics Of The Discrete Fourier Transform Dft


Mathematics Of The Discrete Fourier Transform Dft
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Author : Julius O. Smith
language : en
Publisher: Julius Smith
Release Date : 2008

Mathematics Of The Discrete Fourier Transform Dft written by Julius O. Smith and has been published by Julius Smith this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Fourier transformations categories.


"The DFT can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, and that is the focus of this book. The DFT is normally encountered as the Fast Fourier Transform (FFT)--a high-speed algorithm for computing the DFT. The FFT is used extensively in a wide range of digital signal processing applications, including spectrum analysis, high-speed convolution (linear filtering), filter banks, signal detection and estimation, system identification, audio compression (such as MPEG-II AAC), spectral modeling sound synthesis, and many others. In this book, certain topics in digital audio signal processing are introduced as example applications of the DFT"--Back cover



Nasa Tech Briefs


Nasa Tech Briefs
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Author :
language : en
Publisher:
Release Date : 1985

Nasa Tech Briefs written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Technology categories.




Mathematical Foundations And Applications Of Graph Entropy


Mathematical Foundations And Applications Of Graph Entropy
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Author : Matthias Dehmer
language : en
Publisher: John Wiley & Sons
Release Date : 2017-09-12

Mathematical Foundations And Applications Of Graph Entropy written by Matthias Dehmer and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-12 with Medical categories.


This latest addition to the successful Network Biology series presents current methods for determining the entropy of networks, making it the first to cover the recently established Quantitative Graph Theory. An excellent international team of editors and contributors provides an up-to-date outlook for the field, covering a broad range of graph entropy-related concepts and methods. The topics range from analyzing mathematical properties of methods right up to applying them in real-life areas. Filling a gap in the contemporary literature this is an invaluable reference for a number of disciplines, including mathematicians, computer scientists, computational biologists, and structural chemists.



Nasa Scientific And Technical Publications


Nasa Scientific And Technical Publications
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Author :
language : en
Publisher:
Release Date : 1987

Nasa Scientific And Technical Publications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Aeronautics categories.




The Geometry Of Intelligence Foundations Of Transformer Networks In Deep Learning


The Geometry Of Intelligence Foundations Of Transformer Networks In Deep Learning
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Author : Pradeep Singh
language : en
Publisher: Springer Nature
Release Date : 2025-05-21

The Geometry Of Intelligence Foundations Of Transformer Networks In Deep Learning written by Pradeep Singh and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-21 with Computers categories.


This book offers an in-depth exploration of the mathematical foundations underlying transformer networks, the cornerstone of modern AI across various domains. Unlike existing literature that focuses primarily on implementation, this work delves into the elegant geometry, symmetry, and mathematical structures that drive the success of transformers. Through rigorous analysis and theoretical insights, the book unravels the complex relationships and dependencies that these models capture, providing a comprehensive understanding of their capabilities. Designed for researchers, academics, and advanced practitioners, this text bridges the gap between practical application and theoretical exploration. Readers will gain a profound understanding of how transformers operate in abstract spaces, equipping them with the knowledge to innovate, optimize, and push the boundaries of AI. Whether you seek to deepen your expertise or pioneer the next generation of AI models, this book is an essential resource on the mathematical principles of transformers.



Geometry Of The Phase Retrieval Problem


Geometry Of The Phase Retrieval Problem
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Author : Alexander H. Barnett
language : en
Publisher: Cambridge University Press
Release Date : 2022-05-05

Geometry Of The Phase Retrieval Problem written by Alexander H. Barnett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-05 with Mathematics categories.


This book provides a theoretical foundation and conceptual framework for the problem of recovering the phase of the Fourier transform.