Coursera – Analytic Combinatorics Part I + Part II (Princeton University) | Видеокурсы и книги по темам. Video Tutorials and books

Coursera – Analytic Combinatorics Part I + Part II (Princeton University)

Тема в разделе "Other Downloads", создана пользователем Администратор, авг 8, 2019.

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    Coursera – Analytic Combinatorics: Part I + Part II (Princeton University)
    WEBRip | English | MP4 | 960 x 540 | AVC ~212 kbps | 29.970 fps
    AAC | 127 Kbps | 44.1 KHz | 2 channels | Subs: English | ~24 hours | 3.37 GB
    Genre: eLearning Video / Combinatorics, Programming
    This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. Part I covers generating functions and real asymptotics and then introduces the symbolic method in the context of applications in the analysis of algorithms and basic structures such as permutations, trees, strings, words, and mappings.​




    This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. Part I covers generating functions and real asymptotics and then introduces the symbolic method in the context of applications in the analysis of algorithms and basic structures such as permutations, trees, strings, words, and mappings.

    Analytic Combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the scientific analysis of algorithms in computer science and for the study of scientific models in many other disciplines, including probability theory, statistical physics, computational biology and information theory. Part I of this course covers recurrence relations, generating functions, asymptotics, and fundamental structures such as trees, permutations, strings, tries, words, and mappings, in the context of applications to the analysis of algorithms.
    Part 1:
    Lecture 1 Analysis of Algorithms
    Lecture 2 Recurrences
    Lecture 3 Solving recurrences with GFs
    Lecture 4 Asymptotics
    Lecture 5 The symbolic method
    Lecture 6 Trees
    Lecture 7 Permutations
    Lecture 8 Strings and Tries
    Lecture 9 Words and Mappings
    Part2:

    Lecture 1 Combinatorial Structures and OGFs
    Lecture 2 Labelled Structures and EGFs
    Lecture 3 Combinatorial Parameters and MGFs
    Lecture 4 Complex Analysis, Rational and Meromorphic Asymptotics
    Lecture 5 Applications of Rational and Meromorphic Asymptotics
    Lecture 6 Singularity Analysis of Generating Functions
    Lecture 7 Applications of Singularity Analysis
    Lecture 8 Saddle-Point Asymptotics

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