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Results tagged with asymptotics
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user 11877
Asymptotic behavior of functions, asymptotic series and related topics
2
votes
1
answer
149
views
How to estimate a summation?
For $v, w \in \{0,1\}^n$, denote $v w = (v_1 w_1, \ldots, v_n w_n)$ and $|v|=\sum_{i} v_i$.
Let $v_1, v_2 \in \{0,1\}^n$ and
\begin{align*}
f(x_1, x_2) = \sum_{d=0}^{|v_1 v_2|} \frac{1}{2^{|v_1|+|v_ …
- 6,201
3
votes
0
answers
127
views
How to compute the asymptotic of a summation which involves binomial coefficients?
Let $v_1,v_2 \in \{0,1\}^n$. Denote $v_1v_2=((v_1)_1 (v_2)_1, \ldots, (v_1)_n (v_2)_n)$ and $|v|=\sum v_{i}$.
\begin{align}
{\scriptsize
f(v_1, v_2) = \sum_{x_1=0}^{|v_1|} \sum_{x_2=0}^{|v_2|} \sum_{d …
- 6,201