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, su
Mathematica will show the function you've chosen and then walk through the '4-step' process of determining its derivative by the 'difference quotient' method. In the third step, Mathematica multiplies and divides by the conjugate f(x+h)+f(x) and then cancels out 螖x in the numerator and...
Historia MathematicaFowler, David and Eleanor Robson. 'Square root approximations in Old Babylonian mathematics.' Historia Mathematica 25: 366-378, 1998.Fowler, David; Robson, Eleanor (1998), "Square Root Approximations in Old Bab- ylonian Mathematics: YBC 7289 in context", Historia Mathematica, ...
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...
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Scalar square-root diffusion processes, also called CIR processes, due to Cox et al. (1986), have two properties that are important in applications in finance: (i) they ensure mean reversion of the state variables towards a long-run level and (ii) unlike the Vasicek (1977) model, they ...
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...
Sloane, N. J. A. Sequences A091505, A091506, A103304, and A103305 in "The On-Line Encyclopedia of Integer Sequences."Trott, M. "The Mathematica Guidebooks Additional Material: Average Distance Distribution." http://www.mathematicaguidebooks.org/additions.shtml#S_1_14....
with the idea that (672×y)2 would be the square root of the real value and thus squaring it would lead to the real value. The problem is that time it hang because of the size of the constants. Is there an other way to rewrite the equation so that Mathematica can both solve it an...