The square root is a very popular mathematical operation. However, as we explained in Chapter 2, when it comes to calculations with decimal numbers on computers, we have precise procedures only for addition, subtraction, and multiplication. Thus we can evaluate precisely only those expressions that...
InMathematicsin ancient BabylonSquare root the previous chapter, we showed how to use ideas from Mayan and Babylonian arithmetic when teaching math. In this chapter, we consider Babylonian mathematicadoi:10.1007/978-3-662-55993-2_8Olga Kosheleva...
Title Using Mathematica to Find Closed Form Expressions for Approximations to the Square Root of x Authors Alfred Gray R. Knill Journal / Anthology Mathematica in Education Year: 1992 Volume: 1 Issue: 4 Page range: 12-13 Subject Mathematics > Calculus and Analysis > Special Functions...
D. Fowler and E. Robson. Square Root Approximations in Old Babylonian Math- ematics: YBC 7289 in Context. Historia Mathematica, 1998.Fowler, David H., & Eleanor Robson, 1998. "Square Root Approximations in Old Babylonian Mathematics: YBC 7289 in Context". Historia Mathematica 25, 366-378....
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Vardi, I. Computational Recreations in Mathematica. Reading, MA: Addison-Wesley, pp. 20 and 234-237, 1991.Watson, G. N. "The Problem of the Square Pyramid." Messenger. Math. 48, 1-22, 1918.Wells, D. The Penguin Dictionary of Curious and Interesting Numbers. Middlesex, England: Penguin...
Appl. Prob.17, 748-773, 1985.Sloane, N. J. A. SequencesA091505,A091506,A103304, andA103305in "The On-Line Encyclopedia of Integer Sequences."Trott, M. "The Mathematica GuidebooksAdditional Material: Average Distance Distribution."http://www.mathematicaguidebooks.org/additions.shtml#S_1_...
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We discuss a family of irreducible polynomials that can be used to speed up square root extraction in fields of characteristic two. They generalize trinomials discussed by Fong et al. [20]. We call such polynomials square root friendly. The main applicat