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1d
revised Least Upper Bound Property
added 18 characters in body
1d
comment Least Upper Bound Property
you really should post some of your work at least, and we will help more. I gave you some hints in the answer below, please address them.
1d
answered Least Upper Bound Property
1d
revised Least Upper Bound Property
deleted 4 characters in body
Jul
21
answered what is difference between numerical integration and interpolation?
May
14
comment Find the distribution of $X_1^2 + X_2^2$?
@user111548 Yes.
May
14
comment Find the distribution of $X_1^2 + X_2^2$?
@user111548 no. I meant that the mgf of $X$ and mgf of $X/\sigma$ are not the same thing.
May
14
answered Find the distribution of $X_1^2 + X_2^2$?
May
5
comment Proving breath first traversal on graphs
@DrJonesYu Think about what $\textrm{Next}$ is at iteration $k$ -- this is a set of all vertices $x \in V$, such that for some $u \in V$, which is $k-1$ steps from $r$, there is an edge $(u,x)$. But that means $x$ is in the connected component of $r$.
May
5
comment Conditional CDF
@Someone i think so, made the edit
May
5
revised Conditional CDF
added 202 characters in body
May
5
comment How prove this $ n = \frac {a^3 + 2b^3} {c^3 + 2d^3}. $ infinitely many special numbers
For (2), from your equation follows that $a^3$ is even, so $a$ is even, so $a = 2A$ and the equation becomes $$4A^3 + b^3 = 19 \cdot 53 (c^3 + 2d^3),$$ and $b$ and $c$ must have the same parity.
May
5
answered How to prove that the following function is convex?
May
5
revised Calculate Interest
added 11 characters in body; edited tags
May
5
answered Conditional CDF
May
5
answered Confused about isolating an argument from a fraction and computing a value for it
May
5
answered Proving breath first traversal on graphs
May
5
comment Evaluate $\frac{2}{4}\frac{2+\sqrt{2}}{4}\frac{2+\sqrt{2+\sqrt{2}}}{4}\cdots$
Moreover, it's easy to see it is an increasing sequence, you just need to show it is bounded above.
May
5
comment Evaluate $\frac{2}{4}\frac{2+\sqrt{2}}{4}\frac{2+\sqrt{2+\sqrt{2}}}{4}\cdots$
The only thing i can think about - prove that the sequence of terms is a Cauchy sequence. This only requires differences between successive terms.
May
5
comment Evaluate $\frac{2}{4}\frac{2+\sqrt{2}}{4}\frac{2+\sqrt{2+\sqrt{2}}}{4}\cdots$
Numerically, converges to about $0.405284735 \approx \ln(1.5)$