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Mathematica Symbolic Computations

Memory Use with E^-(10^11) vs E^-(10^10)

David G

Posted 10 years ago

I happened to come across behavior that I don't understand when executing the following: `E^-(10^11)` When I execute the above expression, memory use on my PC goes the maximum installed RAM and the HDD usage goes to 100%. This locks up my PC. Executing `E^-(10^10)` has no effect on my PC memory use. The result is symbolic and I'm not computing an arbitrary precision result, so I'm surprised that memory use would be affected. Does anyone experience this? Is it normal? PC information: Mathematica V10 OS: Win 8.1 RAM: 16 GB

POSTED BY: David G

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Udo Krause

Udo Krause, NOrganization

Posted 10 years ago

No problem with Window 7 Home Premium In[22]:= $Version Out[22]= "10.0 for Microsoft Windows (64-bit) (June 29, 2014)" In[4]:= E^-(10^11) Out[4]= 1/E^100000000000 In[5]:= E^-(10^10) Out[5]= 1/E^10000000000 In[8]:= N[E^-(10^11), 100] Out[8]= 4.7295218355627448338846996370790873689181078443333835968458353849343069\ 6581222896140432821787868406610^-43429448191 In[9]:= N[E^-(10^10), 100] Out[9]= 9.2785844203248725780731422989302228936631015498327395613504872541681042\ 0545082297289629066868175333210^-4342944820 In[21]:= E^-(10^11) == (E^-(10^10))^(10) Out[21]= True

No problem with Window 7 Home Premium

In[22]:= $Version
Out[22]= "10.0 for Microsoft Windows (64-bit) (June 29, 2014)"

In[4]:= E^-(10^11)
Out[4]= 1/E^100000000000

In[5]:= E^-(10^10)
Out[5]= 1/E^10000000000

In[8]:= N[E^-(10^11), 100]
Out[8]= 4.7295218355627448338846996370790873689181078443333835968458353849343069\
65812228961404328217878684066*10^-43429448191

In[9]:= N[E^-(10^10), 100]
Out[9]= 9.2785844203248725780731422989302228936631015498327395613504872541681042\
05450822972896290668681753332*10^-4342944820

In[21]:= E^-(10^11) == (E^-(10^10))^(10)
Out[21]= True

POSTED BY: Udo Krause