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Math- Summation

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Thread replies: 19
Thread images: 3

File: harmonics.gif (3KB, 488x114px) Image search: [Google]
harmonics.gif
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So pic related gives me the formula. I need to know if this is accurate and what the symbols in it mean. Can it be used as a power sum formula?
>>
>>8202969
It's saying that the sum of 1/k from 1 to n is roughly ln(n) to zeroth order.
>>
>>8202974

zeroth order?
>>
>>8202979
n^0.
O(1).
A constant term.
>>
>>8202979
That's the error estimation, I mean.
>>
File: error.jpg (19KB, 700x525px) Image search: [Google]
error.jpg
19KB, 700x525px
>>8202987
Just whipped this up in matlab for you. Here's the error for the first 1000 values of n.
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>>8202985
in what retarded field is this notation used
>>
>>8203021
Computer science
>>
in my notes, I show
[math]\displaystyle \sum_{n=1}^{m} \frac{1}{n} \approx \ln \frac{2n+1}{3}+1[/math]
>>
What the fuck is wrong with you people

https://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constant
>>
\displaystyle \sum_{n=1}^{m} \frac{1}{n} \approx \ln \frac{2m+1}{3}+1
>>
[math]\displaystyle \sum_{n=1}^{m} \frac{1}{n} \approx \ln \frac{2m+1}{3}+1[/math]
>>
>>8203266
this is useless unless you describe its precision. the fact they tend towards each other is trivially just op
>>
>>8203035
>O(1) = C
lmao
>>
>>8202969
it means that you are unable to read your textbook
>>
[math]3x + 2y = 8[/math
>>
[math]3x + 2y = 8[/math]
>>
File: swM0MRE_.jpg (12KB, 240x240px) Image search: [Google]
swM0MRE_.jpg
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>>8204569
Holy Monkey Balls!
>>
>>8202969
the o(1) is actually +-1 in this case
Thread posts: 19
Thread images: 3


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