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May
4
comment prove this inequality$1+x+\dfrac{x^2}{2!}+\dfrac{x^3}{3!}+\cdots+\dfrac{x^n}{n!}>\dfrac{e^x}{2}$
@math110, I meant replace your argument of $x=n$ with $x=\lambda n$ and you will arrive at the same conclusion you have for $x=n$.
May
4
comment prove this inequality$1+x+\dfrac{x^2}{2!}+\dfrac{x^3}{3!}+\cdots+\dfrac{x^n}{n!}>\dfrac{e^x}{2}$
I think you can do this by letting $x := \lambda n$ where $0 \lt \lambda \le 1$. All your inequalities will remain true.
Jan
16
comment Lost on algebra notation
@Clayton, I think that's an exaggeration. Most undergrad number theory books don't require much algebra prerequisites if any (eg, old books like Landau and Hardy/Wright).
Dec
24
comment Proving that $\left(1+\frac{z_{1}}{z_{2}}\right)\left(1+\frac{z_{2}}{z_{3}}\right)…\left(1+\frac{z_{n}}{z_{1}}\right)\in\mathbb R$
should be 2\cos(t_i-t_j)e^(i(t_i-t_j))?
Sep
19
comment Limit of an integral containing a product
Are the integral limits 1 to infinity and do you mean N approaches infinity instead of of x?
Mar
30
comment If a rational number has a finite decimal representation, then it has a finite representation in base $b$ for any $b>1?$
Not true. 0.1 base 10 = 0.00011001100110011.... in base 2.
Mar
28
answered Real Analysis Book Choice
Mar
24
comment How can I use Cauchy integral formula for this integral $g(z)=\int_{C}\frac{s^2+s+1}{s-z}ds$?
Also you should remember if f(z)/(z-z_0) is analytic within and on C, then the integral is 0.
Mar
12
comment Chernoff bounds - basic results
One question: did you check the Wikipedia article on Chernoff Bound?
Mar
1
comment Statistics resources with examples for a C.S. student
He wants statistics resources not probability.
Feb
27
awarded  Yearling
Feb
19
answered Mathematical function for the powers
Jan
28
comment Conditional expectation of $E[X|Z]$ where $Z= \max(X,Y)$
@Didier Piau, thanks for the clarification! For some reason I had always thought $;$ or $|$ meant the same thing; similar to $:$ and $|$ for describing sets.
Jan
28
comment Conditional expectation of $E[X|Z]$ where $Z= \max(X,Y)$
@Didier Piau, I don't understand why the numerator isn't $zf_X(z)F_Y(z) + \mathbb{E}(X|X \le z)f_Y(z)F_X(z)$.
Jan
22
comment Real life applications of Topology
Knowledge of topology is often crucial for passing your PhD qualifying exams in math. You do want your PhD, don't you?
Jan
20
comment find the distribution of $Z = Y\sqrt X$
Is it truly $V_1/V_2$ and $V_2$? If so then yes.
Jan
19
revised Which of these two ways to take the derivative of a delta function times another function is correct?
\delta(x)f'(x) not \delta'(x)f(x)
Jan
19
suggested suggested edit on Which of these two ways to take the derivative of a delta function times another function is correct?
Jan
1
answered Finding an equation for a circle given two points
Dec
31
answered In this case, does $\{x_n\}$ converge given that $\{x_{2m}\}$ and $\{x_{2m+1}\}$ converge?