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bio website linkedin.com/in/gt6989b
location New York, NY
age 35
visits member for 3 years
seen Sep 8 at 20:22

Apr
9
comment Limits: $\lim_{x\to0^+}xe^\frac{-1}x$ and $\lim_{x\to0^-}xe^\frac{-1}x$
Can you please exhibit at least some attempt at solving the problem yourself? Then we can comment and give some hints. This is not the "society of people who do your homework for you."
Apr
9
revised Limits: $\lim_{x\to0^+}xe^\frac{-1}x$ and $\lim_{x\to0^-}xe^\frac{-1}x$
added 8 characters in body; edited tags; edited title
Apr
9
answered Why does convexity of a function required the following
Apr
9
revised What's the MLE of $\frac1\lambda$ for $f(x)=\frac1\lambda\exp − \frac x\lambda$?
added 24 characters in body
Apr
9
comment What's the MLE of $\frac1\lambda$ for $f(x)=\frac1\lambda\exp − \frac x\lambda$?
Please clarify the equations in the text, they way it is phrased makes no sense to me.
Apr
9
answered Integrate the following
Apr
9
comment Suppose $A, B$, and C are sets. Prove that $C\subset A\Delta B \Leftrightarrow C \subset A \cup B$ and $A \cap B \cap C = \emptyset $
@GabeCarr the phrase "the statement A ⋂ B ⋂ C must be an empty or null set" is wrong: $A \cap B \cap C$ is not a statement, and statements cannot be empty or null sets. What is meant to say is that the set $A \cap B \cap C$ is empty, i.e. $A \cap B \cap C = \emptyset$
Apr
9
answered Matrix Transformation - Using matrix multiplication
Apr
9
comment What is the shortest way to write the number $1234567890$?
@DavisYoshida how do you denote $55_{64}$ by one digit -- rubik's notation is only good for base 36 (10 digits + 26 letters)?
Apr
9
answered What is the shortest way to write the number $1234567890$?
Apr
9
comment What is the shortest way to write the number $1234567890$?
One approach is to find some relatively short base, and it shrinks fast, e.g. it is $499602D2_{16}$ (same 10 digits).
Apr
9
comment Evaluate the limit
@rubik Missed the all real numbers part, thank you
Apr
9
comment Suppose $A, B$, and C are sets. Prove that $C\subset A\Delta B \Leftrightarrow C \subset A \cup B$ and $A \cap B \cap C = \emptyset $
@GabeCarr not sure what you mean. The event $z \in X - Y = X \cap \bar{Y}$ happens if and only if $z \in X$ and $z \not \in Y$.
Apr
9
comment Probability of eight dice showing sum of 9, 10 or 11
Looks right to me
Apr
9
comment Evaluate the limit
Why cannot you have $$\psi(x) = 2 + \frac{1}{x} \to 2$$ instead? By this example it can converge to any limit...
Apr
9
comment Evaluate the limit
I don't understand what the second condition adds: since $t^2 < (t+1)^2$, we already know that $$\psi(t^2) > \psi(t^2+1) > \ldots > \psi\left((t+1)^2\right)$$
Apr
9
answered Changing limits of integration
Apr
9
answered Suppose $A, B$, and C are sets. Prove that $C\subset A\Delta B \Leftrightarrow C \subset A \cup B$ and $A \cap B \cap C = \emptyset $
Apr
9
comment How to find maximum/minimum of $y=\frac{x(x^2-x+2)}{x^2-9}$?
@Cherufe both min and max are unbounded
Apr
9
revised Compute: as $\displaystyle{\lim_{n\to \infty} \int_0^\pi \sin^n x dx}$
added 54 characters in body; edited title