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How to calculate very large number by Matlab

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Fatima Majeed
Fatima Majeed 2024-6-13
评论： Fatima Majeed 2024-6-14
I want to find S_1+S_2+S_3
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Steven Lord
Steven Lord 2024-6-14
Ran in:
Even if you try to operate on this symbolically, it's extremely large.
x = exp(sym(2.8e10))
x = 
vpa(x, 10)
ans = 
∞
numberOfDigits = vpa(log10(x))
numberOfDigits = 
12160245493.291051174231609729665
If you were able to write out x it would have over twelve billion digits.
What's the purpose of this calculation? What does S1+S2+S3 represent? I'd consider trying to find another way to compute that quantity that doesn't require combining numbers that vary by so so many orders of magnitude.
Fatima Majeed
Fatima Majeed 2024-6-14
I am reading this paper https://doi.org/10.48550/arXiv.2204.01980 on the page 13 he wanted to calculate A(x,delta) to bound
\[
\left| \frac{\psi(x) - x}{x} \right|
\]

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