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8 votes
Accepted

A bug with high precision

Because default DeleteDuplicates uses === and not == (i.e ...
Nasser's user avatar
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7 votes

A bug with high precision

From the help of Equal ( "==" ): "Numbers with machine precision (MachinePrecision) or greater are considered equal if they differ in at most their last seven binary digits." As ...
Daniel Huber's user avatar
  • 52.7k
7 votes

Calculating and plotting very small values gives errors

High-order polynomials with alternating signs are notoriously difficult to evaluate numerically. Such is the case for the sine function: ...
Roman's user avatar
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6 votes
Accepted

Precision problem in DensityPlots

Note: While this answer shows a good but arcane use of an option, my other answer shows a better use of the arcane internal structure of graphics to transform this problem from one which ...
Michael E2's user avatar
  • 237k
3 votes

Exp[-690255.2204176334] is too small to represent as a normalized machine number; precision may be lost

It's a pretty simple explanation. The region plotted by the OP contained none of the solution curve, which is found further up: ...
Michael E2's user avatar
  • 237k
3 votes

A bug with high precision

Warning!!! If you evaluate this your believe in logical reasoning may be ruined ;-) ...
azerbajdzan's user avatar
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2 votes

How to modify the given codes (NIntegrate of Boole) to get the most accurate result possible?

To check if some result is accurate enough, one method is to increase "WorkingPrecision" and check if the result changes. The default "WorkingPrecision" is "MachinPrecisio&...
Daniel Huber's user avatar
  • 52.7k
2 votes

Evaluation gives different results before and after simplifying expression

This is a precision problem. First simplifying will give an more accurate result. However, if you change z1 to an exact number, you will get an exact result ...
Daniel Huber's user avatar
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2 votes

Generating sequence from a number with Precision

Couple of things. If you're expecting to set a sort of global precision by doing SetPrecision[$MachinePrecision, 200], then you need to understand that's not what ...
lericr's user avatar
  • 29.1k
2 votes

Delayed evaluation of nested functions

If you rationalize A[t] integration works ...
Ulrich Neumann's user avatar
2 votes

Precision problem in DensityPlots

I thought this should be a different answer for two reasons: (1) This is a different approach, which shouldn't be buried in another answer and should be evaluated as an alternative on its own merits. (...
Michael E2's user avatar
  • 237k
1 vote
Accepted

How to modify the given codes (NIntegrate of Boole) to get the most accurate result possible?

The Monte Carlo method While the Monte Carlo method is not terribly accurate, it is fairly easy to understand. I don't know why the OP did not include the very useful information in the ...
Michael E2's user avatar
  • 237k
1 vote

How to modify the given codes (NIntegrate of Boole) to get the most accurate result possible?

The two approachs without warning message. ...
cvgmt's user avatar
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