Questions tagged [system-limitations]
The system-limitations tag has no usage guidance.
29
questions
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Largest n in Prime[n] [duplicate]
What is the largest integer $n$ that the function Prime[n] can take?
- 163
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1
answer
201
views
Is there any hope to get the result faster if we use a supercomputer for the given problem?
If an operation in Mathematica (say, computing the determinant of a $88\times88$ parametric matrix) takes much time to be computed on a personal computer (core i7), say a week, then, is there any hope ...
- 1,169
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1
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148
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19
votes
2
answers
725
views
Library for FEAST method is missing
Mathematica (V 12.3.1, Native Mac M1 version) is not letting me use the FEAST method for solving eigenvalue problems. For example,
...
- 331
0
votes
1
answer
39
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Need help understanding the results of the unit function
I want to get Limit of the following function at $T\to 0$.
$$
Eig=\frac{8 (\eta +J \sinh (2 \beta \eta ) \sinh (2 \beta J)+\eta \cosh (2 \beta \eta ) \cosh (2 \beta J))}{\eta Z^2}
$$
where $Z=2 (...
- 639
2
votes
2
answers
126
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Unexpected limit result (was: How to fix the limit problem?)
MATHEMATICA fails in proving that
Limit[
Integrate[
x^(x - 1)
, {x, t, 2*t}
]
, t -> 0
, Direction -> "FromAbove"
] == Log[2]
How to fix ...
- 81
2
votes
0
answers
175
views
How to deal properly with big integer limitations [closed]
I need to run an algorithm that manipulates digits with big integers and integer functions,
And I need to be careful to avoid erroneous results in my research.
It is not necessary to answer every ...
- 121
3
votes
1
answer
73
views
Question on Global System variables
What are the maximum values for $MaxLicenseProcesses and $MaxLicenseSubprocesses? Can they be infinite or are there specific ...
- 31
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169
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Calculation time for a limit, is my calculation still calculating?
I am calculating the limit of an eighth order derivative with ~700 terms. The notebook has been in the 'running' phase for a few days now. If it says it is still running, does this necessarily mean ...
2
votes
1
answer
347
views
The maximum number of length in mathematica
What is the maximum number that can be used with the following command in mathematica?
Length[IntegerDigits[x!]]
where 'x' is replaced by some finite integer for ...
- 315
9
votes
2
answers
739
views
Is it possible to specify a zero-thickness curve for a (filled) `ListPlot`?
With Joined -> True, ListPlot's filling is solid by default. But note that the filling and the line have different shades:
<...
- 11.7k
9
votes
2
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406
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Degradation of image when used as texture in 3D graphics
An answer at zhihu motivated me to ask this question:
Though applying a texture to a surface or a Graphics object is quite convenient in Mathematica, the quality ...
- 9,630
3
votes
0
answers
216
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Limit of an infinite nested radical?
Is it possible to compute the limit of this infinite nested radical in Mathematica:
Limit[Sqrt[n+Sqrt[n+Sqrt[n+Sqrt[n+...]]]], n->0]
- 31.6k
-2
votes
1
answer
84
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Result of the limit n -> infinity x(ln(x/x+1) [closed]
Can someone give me a detailed, step by step process on how to solve:
$\lim_{x\to \infty } x(ln$$ \frac{x}{x+1}) $
6
votes
2
answers
990
views
Determining the number of equilibrium points
Let's define the potential function $\Omega(x,y)$ of two magnetic dipoles
...
- 8,790