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Theory of Algorithms COS 423: Theory of Algorithms Princeton University Spring, 2001 Kevin Wayne Algorithm. (webster.com) s A procedure for result a mathematical problem (as of finding the greatest special K divisor) in a finite number of steps that often involves repetition of an operation. Broadly: a step-by-step procedure for resolving a problem or accomplishing some end specially by a computer. s "Great algorithms are the poetry of computation." Etymology. s "algos" = Hellenic word for pain. "algor" = Latin word for to be cold. Abu Ja’far al-Khwarizmi’s = 9th century Arab scholar. â€" his book "Al-Jabr wa-al-Muqabilah" evolved into today’s high initiate algebra text s s 2 Imagine: A World With No Algorithms Fast arithmetic. Cryptography. Quicksort. s s What is COS 423? Introduction to design and analysis of computer algorithms. recursive paradigms. Analyze running time of programs. information structures. Understand unsounded algorithmic problems. Intrinsic computational limitations. Models of computation. Critical thinking. s Databases. FFT. s s s Signal processing. Huffman codes. s s s Data compression. Network flow. s s Routing Internet packets. Linear programming. s s Prerequisites. s COS 226 (array, relate list, search tree, graph, heap, quicksort).



COS 341 (proof, induction, recurrence, probability). Planning, decision-making. s 3 4 Administrative Stuff Lectures: (Kevin Wayne) s Approximate Lecture Outline algorithmic paradigms. s Monday, Wednesday 10:00 - 10:50, COS 104. Divide-and-conquer. Greed. Dynamic programming. Reductions. s TA’s: (Edith Elkind, Sumeet Sobti) Textbook: Introduction to Algorithms (CLR). s s Analysis of algorithms. Grading: s s Amortized analysis. periodic problem sets. Collaboration, no-collaboration. Class participation, staff discretion. Undergrad / grad. Data structures. s s s marriage find. Search... If you want to get a full essay, order it on our website: Ordercustompaper.com



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