| bio | website | |
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| location | ||
| age | ||
| visits | member for | 2 years, 9 months |
| seen | Nov 30 '11 at 19:22 | |
| stats | profile views | 131 |
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May 6 |
awarded | Good Answer |
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Aug 26 |
awarded | Yearling |
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Jun 23 |
comment |
Lower bounds on the probability that one random variable is greater than a set of others @Emre, no they are not identically distributed |
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Jun 23 |
asked | Lower bounds on the probability that one random variable is greater than a set of others |
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Dec 22 |
comment |
Can we partition NP-complete problem into finite number of polynomially solvable problems? @Oleksandr While, running a finite number of polynomial time algorithms requires only polynomial time we don't know which answer is correct. For example, we can partition all instances of 3-Sat into two sets: YES and NO, where YES contains all instances that are satsifiable and NO contains all instances that are unsatisfiable. Trivially, all problems in YES can be solved in polynomial time by the Turing Machine (TM) that just accepts and all problems in NO can be solved in polynomial time by the TM that just rejects. However, this tells us nothing about whether a given instance is satisfiable. |
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Dec 21 |
comment |
In a family with two children, what are the chances, if one of the children is a girl, that both children are girls? @Nemi You are correct that there is an important distinction between "one of the two children is a girl" and "the first child is a girl". My text says: "Since we are given that at least one child is a girl there are three possibilities: bg, gb, or gg". I did not say that we are given that the first child is a girl. The three possibilities arise from considering whether the first/second born was a girl/boy. |
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Dec 21 |
awarded | Nice Answer |
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Dec 21 |
awarded | Teacher |
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Dec 21 |
answered | In a family with two children, what are the chances, if one of the children is a girl, that both children are girls? |
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Dec 16 |
awarded | Scholar |
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Dec 16 |
accepted | Simplify $\sum \limits_{k=0}^{n} \binom{n}{k} 2^{\sqrt{k}}$ |
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Dec 16 |
comment |
Simplify $\sum \limits_{k=0}^{n} \binom{n}{k} 2^{\sqrt{k}}$ @Shai Covo yes assume $a,b \geq 1$. In fact I am also interested in the case were $a=b \geq 1$ |
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Dec 16 |
comment |
Simplify $\sum \limits_{k=0}^{n} \binom{n}{k} 2^{\sqrt{k}}$ I care more about asymptotic bounds so the floor or the full irrational value is fine with me |
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Dec 15 |
awarded | Supporter |
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Dec 15 |
awarded | Editor |
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Dec 15 |
revised |
Simplify $\sum \limits_{k=0}^{n} \binom{n}{k} 2^{\sqrt{k}}$ added 763 characters in body |
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Dec 15 |
awarded | Student |
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Dec 15 |
asked | Simplify $\sum \limits_{k=0}^{n} \binom{n}{k} 2^{\sqrt{k}}$ |
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Aug 25 |
answered | Estimates involving sums with binomials |