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Questions on the numerical functions of Mathematica, implementing numerical methods and numerical computing with Mathematica.

2 votes

EvenQ not working properly on IntegerPart[real number]

IntegerPart[0.57*100] (* 56 *) 0.57*100 (* 57. *) InputForm@% (* 56.99999999999999 *)
LLlAMnYP's user avatar
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1 vote

SetPrecision and setting precision with a backtick

@LLlAMnYP, the goal is to enter numbers with a certain precision prec. The only problem is that entering all numbers in the format as required by Mathematica is really cumbersome. I want it to be a …
LLlAMnYP's user avatar
  • 11.5k
4 votes

How to force precision in region plots containing Erfc

Use the relation Erfc[x] == 1 - Erf[x]. The two argument form of Erf is specifically to tackle these precision issues: ContourPlot[Erf[x, y] == 0, {x, -12, 0}, {y, -12, 0}] Erf[z0, z1] gives the …
LLlAMnYP's user avatar
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3 votes

Numerical 3D Integration in Mathematica

The integral over a spherical region is easily performed by Mathematica even analytically. Assuming f=1 and for brevity putting the center of the sphere at the origin: Timing@Integrate[1, {x, -r, +r} …
LLlAMnYP's user avatar
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3 votes

The algorithm behind InputForm for machine numbers

This section of my answer previously showed that Export[fname, data, "TSV"] is incredibly slow (~500 seconds for exporting 10^5 * 10 reals), but this is easily worked around by WriteString[fname, Exp …
LLlAMnYP's user avatar
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