# Questions tagged [system-limitations]

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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 $Z=2 (... 2answers 113 views ### Unexpected limit result (was: How to fix the limit problem?) MATHEMATICA fails in proving that Limit[ Integrate[ x^(x - 1) , {x, t, 2*t} ] , t -> 0 , Direction -> "FromAbove" ] == Log How to fix ... 0answers 108 views ### How to deal properly with big integer limitations [closed] I need to run an algorithm that manipulates digits with big integers and integer functions, And I need to be careful to avoid erroneous results in my research. It is not necessary to answer every ... 1answer 52 views ### Question on Global System variables What are the maximum values for$MaxLicenseProcesses and $MaxLicenseSubprocesses? Can they be infinite or are there specific ... 0answers 100 views ### Calculation time for a limit, is my calculation still calculating? I am calculating the limit of an eighth order derivative with ~700 terms. The notebook has been in the 'running' phase for a few days now. If it says it is still running, does this necessarily mean ... 1answer 136 views ### The maximum number of length in mathematica What is the maximum number that can be used with the following command in mathematica? Length[IntegerDigits[x!]] where 'x' is replaced by some finite integer for ... 2answers 488 views ### Is it possible to specify a zero-thickness curve for a (filled) ListPlot? With Joined -> True, ListPlot's filling is solid by default. But note that the filling and the line have different shades: <... 2answers 309 views ### Degradation of image when used as texture in 3D graphics An answer at zhihu motivated me to ask this question: Though applying a texture to a surface or a Graphics object is quite convenient in Mathematica, the quality ... 0answers 120 views ### Limit of an infinite nested radical? Is it possible to compute the limit of this infinite nested radical in Mathematica: Limit[Sqrt[n+Sqrt[n+Sqrt[n+Sqrt[n+...]]]], n->0] 1answer 71 views ### Result of the limit n -> infinity x(ln(x/x+1) [closed] Can someone give me a detailed, step by step process on how to solve:$\lim_{x\to \infty } x(ln \frac{x}{x+1}) $2answers 714 views ### Determining the number of equilibrium points Let's define the potential function$\Omega(x,y)$of two magnetic dipoles ... 2answers 169 views ### 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 ... 0answers 182 views ### 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 ... 0answers 158 views ### 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 ... 2answers 1k views ### Regular expression too large problem pattern = Names["*"]; StringMatchQ["Bold", pattern[[1 ;; -1 ;; 2]]] (* True *) StringMatchQ["Bold", pattern] Error Information: RegularExpression::msg20: ... 1answer 2k views ### 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 ... 3answers 2k views ### 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 ... 1answer 64 views ### 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 ... 3answers 2k views ### 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 ... 0answers 828 views ### 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 ... 3answers 815 views ### ToExpression fails with long nested string expressions Consider the following conversion from String to Mathematica Expression: ... 1answer 214 views ### 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 ... 0answers 329 views ### 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 ... 2answers 5k views ### What is so special about Prime? When we try to evaluate Prime on big numbers (e.g. 10^13) we encounter the following issue: ... 3answers 674 views ### What determines the value of$MaxNumber?
What determines the value of $MaxNumber?$MaxNumber 1.233433712981650*10^323228458 ...