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Although it is not an introduction for beginners, knowledge of the existence Knuth's work on fundamental algorithms is important for a beginning Computer Scientist. One day in the future they will need to consult a copy. So for completeness, and for your future as a computer scientist put this on your "wish list": The Art of Computer Programming, ...


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For Visual understanding and practical implementation, you can go with 1.Algorithms In a Nutshell (O'Reilly) For problem-solving and deep diving in concepts, You can check this out 1.Introduction to the Design and Analysis of Algorithms By Anany Levitin


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A gentle but rigorous introduction would be Algorithm Design by Tardos and Kleinberg. It covers all the necessary topics, and discusses the ideas and intuitions behind an algorithm before introducing it. Unlike CLRS, you don't need to "pick and choose" chapters to read as a beginner; instead, you can just follow through the chapters since they are ...


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A (tough) introduction is Jeff Erickson's "Algorithms". It is available as PDF for free. If you want to learn about how to program (how to put together the above to create useful applications), consider Downey's "Think Python" (be sure to get the second edition, as it is written for Python 3, the current version). Also a free PDF. Much of ...


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There certainly are division algorithms around, check e.g. Knuth's "Seminumerical Algorithms" or the book describing how libtommath works (this library was written more to explain how to do things than for utmost speed). With today's machines, where the speed is more limited by memory access than computation as such, brilliant hacks like the fast ...


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Newton's method is pretty good for this. Specifically, a good strategy is to first calculate an approximation $x \approx \dfrac{1}{b}$ so that $ax$ is then a good approximation for $\dfrac{a}{b}$. To do this, we will use Newton's method to approximate a root of the function $f(x) = \dfrac{1}{x} - b$. Newton's method asks us to recursively calculate ...


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Traditional single-label classification implies disjoint labels. To the extent that labels are not disjoint or distinct within a single-label classification task, the problem is one of the definition of distinct concepts. This problem has been discussed as early as 1984 in Valiant's "A Theory of the Learnable" where he identified the theoretical ...


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FSM+Datapath, in this context, is a design technique of logic design. Any real-world sequential circuit can be modeled as an FSM, but in practice only sequential control logic is modeled as an FSM. For example, a D Flip-Flop can be modeled as an FSM, i.e. in terms of explicit states and their transitions, or it can be modeled in terms of logic gates, or a ...


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