Questions tagged [system-limitations]

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Largest n in Prime[n] [duplicate]

What is the largest integer $n$ that the function Prime[n] can take?
Jamai-Con's user avatar
  • 153
1 vote
1 answer

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 ...
charmin's user avatar
  • 1,159
1 vote
1 answer

NSum::nslim: Limit of summation k is not a number. Help, please( [closed]

Casper's user avatar
  • 43
19 votes
2 answers

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, ...
user99x's user avatar
  • 331
0 votes
1 answer

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 (...
Bekaso's user avatar
  • 629
2 votes
2 answers

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 ...
Mircea Ivan's user avatar
2 votes
0 answers

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 ...
Noir's user avatar
  • 121
3 votes
1 answer

Question on Global System variables

What are the maximum values for $MaxLicenseProcesses and $MaxLicenseSubprocesses? Can they be infinite or are there specific ...
MathGuru91's user avatar
0 votes
0 answers

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 ...
ming.vase's user avatar
2 votes
1 answer

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 ...
Alan's user avatar
  • 315
9 votes
2 answers

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: <...
kjo's user avatar
  • 11.7k
9 votes
2 answers

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 ...
Wjx's user avatar
  • 9,403
3 votes
0 answers

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]
M.R.'s user avatar
  • 31k
-2 votes
1 answer

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}) $
Mihai Preda's user avatar
6 votes
2 answers

Determining the number of equilibrium points

Let's define the potential function $\Omega(x,y)$ of two magnetic dipoles ...
Vaggelis_Z's user avatar
  • 8,550
2 votes
2 answers

Nesting BaseForm several functions deep causes dependent functions to not fully evaluate. Solutions?

Below is a simplified scenario of a problem that I'm running into. There are 3 functions each wrapped with BaseForm[] and a default base of 10 is passed to each ...
Dustin Darcy's user avatar
10 votes
0 answers

Why is 13 the smaller height dimension of a Graphics?

It seems that you cannot get a Graphics image with a height dimension less than 13. Trying to draw something and then asking for ...
Guido's user avatar
  • 331
8 votes
0 answers

Color Snapping When Using VertexColors with a Tube with BSplineCurve as an Argument

I think I've identified a bug in how VertexColors are treated when rendering a Tube object where the underlying data is a ...
Guillochon's user avatar
  • 6,047
3 votes
2 answers

Regular expression too large problem

pattern = Names["*"]; StringMatchQ["Bold", pattern[[1 ;; -1 ;; 2]]] (* True *) StringMatchQ["Bold", pattern] Error Information: RegularExpression::msg20: ...
HyperGroups's user avatar
  • 8,509
7 votes
1 answer

Largest matrix size supported by Mathematica 10

I have need to store large square matrices in memory, some times sparse, some times not. I have used up to $2^{15}$ by $2^{15}$ as my upper bound so far, and Mathematica has handled it even if it took ...
ivbc's user avatar
  • 839
1 vote
3 answers

The biggest exponent that can be computed

I am struggling with my crypt assignments and constantly getting overflow errors. Below is a simplified version of the problems I am experiencing ...
OScam's user avatar
  • 13
1 vote
1 answer

Is there a limit for DensityHistogram data amount?

I'm trying Mathematica for first time and while trying to do a Density Histogram with around 300 000 points, I get an error "THE INPUTED DATA is not a valid dataset or list of datasets." Maybe it's ...
Rubén Rincón's user avatar
32 votes
3 answers

Is it possible to draw really thin lines in Mathematica?

I want to have in Mathematica the same result I have in Python: I have this nice effect simply by using very thin lines. But it seems in Mathematica thickness property has some limit and i just got ...
funnyp0ny's user avatar
  • 1,895
10 votes
0 answers

Does a running evaluation continue after the PC wakes from sleep mode?

Are there any issues with running a process on Mathematica, putting the computer to sleep, and then waking the computer sometime later? It seems to work just fine on my test process (appending data ...
JeffDror's user avatar
  • 1,860
13 votes
3 answers

ToExpression fails with long nested string expressions

Consider the following conversion from String to Mathematica Expression: ...
shrx's user avatar
  • 7,797
7 votes
1 answer

Why is there a limit of 15 different instruments to be played simultaneously, with Sound / SoundNote?

It seems to be impossible to play more than 15 different instruments simultaneously with the Sound[{Soundnote[...],...}] construct. Any guesses why it is so? With ...
Labareda's user avatar
4 votes
0 answers

Why does OS X need permission to allow JLink connections each time it starts?

I understand that JLink loads each time Mathematica launches or each time a kernel starts, and that this can require permission from the firewall, if it is enabled but OS X provides settings the ...
orome's user avatar
  • 12.8k
58 votes
3 answers

What is so special about Prime?

When we try to evaluate Prime on big numbers (e.g. 10^13) we encounter the following issue: ...
Artes's user avatar
  • 56.6k
29 votes
3 answers

What determines the value of $MaxNumber?

What determines the value of $MaxNumber? $MaxNumber 1.233433712981650*10^323228458 ...
Mr.Wizard's user avatar
  • 269k