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Titlebook: Exercises in Applied Mathematics; With a View toward I Daniel Alpay Textbook 2024 The Editor(s) (if applicable) and The Author(s), under ex

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書(shū)目名稱(chēng)Exercises in Applied Mathematics
副標(biāo)題With a View toward I
編輯Daniel Alpay
視頻videohttp://file.papertrans.cn/319/318504/318504.mp4
概述Prepares students for advanced study and research in the applied sciences.Presents the mathematical tools needed for machine learning, information theory, and other areas.Guides readers through hundre
叢書(shū)名稱(chēng)Chapman Mathematical Notes
圖書(shū)封面Titlebook: Exercises in Applied Mathematics; With a View toward I Daniel Alpay Textbook 2024 The Editor(s) (if applicable) and The Author(s), under ex
描述This text presents a collection of mathematical exercises with the aim of guiding readers to study topics in statistical physics, equilibrium thermodynamics, information theory, and their various connections.? It explores essential tools from linear algebra, elementary functional analysis, and probability theory in detail and demonstrates their applications in topics such as entropy, machine learning, error-correcting codes, and quantum channels.? The theory of communication and signal theory are also in the background, and many exercises have been chosen from the theory of wavelets and machine learning.? Exercises are selected from a number of different domains, both theoretical and more applied.? Notes and other remarks provide motivation for the exercises, and hints and full solutions are given for many.? For senior undergraduate and beginning graduate students majoring in mathematics, physics, or engineering, this text will serve as a valuable guide as theymove on to more advanced work..
出版日期Textbook 2024
關(guān)鍵詞Information Theory; Machine Learning; Statistical Physics; Wavelets; Signal analysis
版次1
doihttps://doi.org/10.1007/978-3-031-51822-5
isbn_softcover978-3-031-51824-9
isbn_ebook978-3-031-51822-5Series ISSN 3005-1509 Series E-ISSN 3005-1517
issn_series 3005-1509
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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,Pathway’s Effects on Self-Esteem,inary differential equations plays also an important role. In this chapter, we recall some elementary facts from the theory of functions. Other results include, for instance, the existence of a continuous logarithm for a complex-valued function of a complex variable.
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From Affectivity to Subjectivityunctional analysis and uses the fact that this space may be a Hilbert, Banach, or Fréchet space, or have another structure. This structure will determine notions such as convergence of sequences and characterization of continuous functionals on the given space.
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Positive Semi-Definite Matrices barely the surface of the topic has been touched. Positive semi-definite matrices play a key role in numerous domains, of which we mention in particular machine learning in its various facets. See Remark 3.5.2 on the terminology . versus ..
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Complements in Real and Complex Analysisconvexity, the main properties of partial derivatives and differentials, and the theory of Lagrange multipliers. Liouville’s theorem on systems of ordinary differential equations plays also an important role. In this chapter, we recall some elementary facts from the theory of functions. Other result
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