Questions on the arbitrary precision capabilities of Mathematica.
1
vote
3answers
84 views
Making a calculation with high precision
I would like to make the following calculation:
1/Sqrt[1 - (150^2 10^(-4))/(9 10^16.)] - 1
Mathematica 8 returns 0. The result is obviously not 0, but my ...
1
vote
1answer
72 views
0
votes
1answer
148 views
Adding precision for the calculation of a function
I have some function $f(x)$ I wish to evaluate, which is yielding divide-by-zero errors for sufficiently large inputs. How do I increase the precision with which this function is evaluated in order ...
19
votes
2answers
475 views
Meaning of backtick in floating-point literal
If I compute, say, 1/3//N, Mathematica displays
0.333333
as the result.
When I copy that output to use elsewhere,
the paste ...
3
votes
1answer
161 views
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
...
1
vote
0answers
133 views
Parallel linear algebra with arbitrary precision
Is it possible to do parallel linear algebra with arbitrary precision within Mathematica (in a simple manner, as is done for the machine precision)?
1
vote
1answer
75 views
How do I craft this constant to a specific accuracy?
An earlier post was migrated to Physics.SE and we determined that if this converged, we would have a constant close to the mass of the proton in kilograms. This constant is constructed by summing the ...
2
votes
0answers
195 views
Set Global Maximum Precision
I'm sure this has been asked before, but I've looked around and can't figure it out:
How do I set a global maximum precision for a notebook (or in general, globally)?
I have a large notebook in ...
6
votes
0answers
218 views
Optimizing NIntegrate for higher PrecisionGoal
By default, NIntegrate works with MachinePrecision and its PrecisionGoal is set to ...
7
votes
1answer
309 views
AccuracyGoal,PrecisionGoal, WorkingPrecision and NDSolve
I'm trying to understand exactly what WorkingPrecision, AccuracyGoal and PrecisionGoal mean for the result of NDSolve.
I presume WorkingPrecision simply means the number of decimal places used ...
2
votes
1answer
181 views
Manipulating an arbitrary-precision ContourPlot
I have a function, say
minimizeme[ω_][β_][ϵ_] = ϵ^2 ω-Log[2 (Cosh[2 β]+Cosh[2 β ϵ])]/(2 β);
I want to make a high-precision dynamic ...
0
votes
3answers
156 views
Setting the Accuracy of calculations
I am optimizing an equation that involves a number of trigonometric functions and Exp[]. How do I make sure that all my calculations have an accuracy of 120-200 ...
2
votes
1answer
144 views
Need more float precision
I have a Physics problem which huge and tiny numbers and Mathematica just gives me a speed of my particles which is the speed of light. Then $1/\sqrt{1-v^2/c^2}$ becomes singular.
If I use smaller ...
9
votes
3answers
249 views
Mathematica Plot: Inconsistency when plotting large values
I am working with a function in Mathematica and I am getting some inconsistencies when I plot it. As I really need to understand were this comes from I would appreciate any help.
I am working with a ...
3
votes
2answers
96 views
Why do I keep getting 0.06 with WorkingPrecision->1?
I'm trying to generate a list of 1000 random numbers with WorkingPrecision->1. Is there any particular reason that I'm getting some entries as 0.06?
I have tested the following lines:
...
7
votes
1answer
384 views
Global precision setting
Coming from Maple I do not understand how the precision for numerical computations in Mathematica is specified. I understand that there are various options to commands such as ...
15
votes
1answer
346 views
Quadruple-precision (128 bit) arithmetic
Is it possible to force Mathematica to perform computations with hardware supported quadruple-precision? The following test suggest, that all of the computations with fixed precision, different than ...
7
votes
2answers
197 views
Dealing with numbers too large for machine precision in Graphics
Graphics only supports machine precision numbers (i.e. number that can be converted to machine precision). Take for example
...
8
votes
1answer
149 views
What determines the value of $MaxNumber?
What determines the value of $MaxNumber?
$MaxNumber
1.233433712981650*10^323228458
...
