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The Art of Computer Programming
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====Volume 2 – Seminumerical algorithms==== * Chapter 3 – [[Random number]]s ** 3.1. Introduction ** 3.2. [[Pseudo-random number generator|Generating uniform random numbers]] *** 3.2.1. The [[Linear congruential generator|linear congruential]] method **** 3.2.1.1. Choice of modulus **** 3.2.1.2. Choice of multiplier **** 3.2.1.3. Potency *** 3.2.2. Other methods ** 3.3. Statistical tests *** 3.3.1. General test procedures for studying random data *** 3.3.2. Empirical tests *** 3.3.3. Theoretical tests *** 3.3.4. The spectral test ** 3.4. [[Pseudo-random number sampling|Other types of random quantities]] *** 3.4.1. Numerical distributions *** 3.4.2. Random sampling and [[Fisher–Yates shuffle|shuffling]] ** 3.5. What Is a [[Random Sequence|random sequence]]? ** 3.6. Summary * Chapter 4 – Arithmetic ** 4.1. [[Positional notation|Positional number systems]] ** 4.2. [[Floating point]] arithmetic *** 4.2.1. Single-precision calculations *** 4.2.2. Accuracy of floating point arithmetic *** 4.2.3. Double-precision calculations *** 4.2.4. Distribution of floating point numbers ** 4.3. [[Arbitrary-precision arithmetic|Multiple precision arithmetic]] *** 4.3.1. The classical algorithms *** 4.3.2. Modular arithmetic *** 4.3.3. How fast can we multiply? ** 4.4. [[Radix]] conversion ** 4.5. [[Rational number|Rational]] arithmetic *** 4.5.1. Fractions *** 4.5.2. The greatest common divisor *** 4.5.3. Analysis of [[Euclidean algorithm|Euclid's algorithm]] *** 4.5.4. Factoring into primes ** 4.6. [[Polynomial]] arithmetic *** 4.6.1. Division of polynomials *** 4.6.2. Factorization of polynomials *** 4.6.3. Evaluation of powers ([[addition-chain exponentiation]]) *** 4.6.4. Evaluation of polynomials ** 4.7. Manipulation of [[Power Series|power series]]
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