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Questions tagged [arbitrary-precision]

Questions on the arbitrary precision capabilities of Mathematica.

Useful Links

The overview is a list of links to many tutorial articles on numerics and in particular the following: Arbitrary-precision Calculations and Arbitrary-precision Numbers.

Further, you are strongly urged to read this answer

136 questions
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the winding number for the circle map (Arnold tongue)

I want to perform an iterative calculation and visualize the results: f[n_, a_, b_] := Nest[# + a - b Sin[2 π #] &, 0, n]/n; If I use machine precision, it probably results in greater error, for example: N@f[500, 1/2, 3/5] f[500, 0.5, 0.6] (* 0.5…
Apple
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Why does SetPrecision not apply to 0?

Is there a rationale why SetPrecision works on integers except for 0? SetPrecision[1,5] 1.0000 SetPrecision[0,5] 0
alancalvitti
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Can some one explain perplexing behavior of arbitrary precision arithmetic?

I was exploring the problem presented by another question, when I ran into some behavior of Mathematica's arbitrary precision arithmetic engine that perplexes me. Here is what I was doing poly = 64 x^7 - 112 x^5 - 8 x^4 + 56 x^3 + 8 x^2 - 7 x -…
m_goldberg
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Setting precision globally

This question is similar to this one and to this one. My code involves a lot of calls to Mathematica's N function, with the second argument (precision) set to 100 (say). I'm happy with the code, it does what it's supposed to do. All I am a bit…
Alex
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Mathematics arbitrary precision evaluation

I am trying to solve a simple expression: where a = 77617, and b = 33096. Wolfram|Alpha returns a correct result, using following form: a = 77617, b = 33096, c = (333.75 - a^2) * b^6 + a^2 * (11 * a^2 * b^2 - 121 * b^4 - 2) + 5.5 * b^8 + a/(2.0 *…
syscreat
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