Tagged Questions
0
votes
1answer
72 views
How can I make estimates on large powers and logarithms such as $e^{10}$?
Just wondering, are there any useful tricks to make estimates of large powers or logarithms just by hand such as for $e^{10}$? Any such ways to get an error less than 1?
3
votes
2answers
343 views
Modern formula for calculating Riemann Zeta Function [duplicate]
Possible Duplicate:
How to evaluate Riemann Zeta function
I have an amateur interest in the Zeta Function. I have read Edward's book on the topic, which is perhaps a little dated. I would ...
1
vote
2answers
236 views
Help with Chebyshev Economization of $\exp(x)$?
This may be a stupid question, so I apologize in advance if it is. This is a very common example of Chebyshev Economization, but I still do not understand how the coefficients are found. I want to ...
3
votes
0answers
74 views
Numerically estimate $a^b$ [duplicate]
Possible Duplicate:
How can I calculate non-integer exponents?
What is the most efficient way to estimate $a^b$ ($a > 0$) numerically?
My goal is not to use built-in math functions (like ...
2
votes
1answer
301 views
Method for estimating the nth derivative?
When using numerical analysis, I often find that I am required to estimate a derivative (e.g. when using Newton Iteration for finding roots). To estimate the first derivative of a function $f(x)$ at ...
33
votes
10answers
1k views
What it the fastest/most efficient algorithm for estimating Euler's Constant $\gamma$?
What it the fastest algorithm for estimating Euler's Constant $\gamma \approx0.57721$?
Using the definition:
$$\lim_{n\rightarrow\infty} \sum_{x=1}^{n}\frac{1}{x}-\log n=\gamma$$
I finally get 2 ...
