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Feb
8
comment What are some surprising appearances of $e$?
@Lovsovs Of course! Thanks!
Feb
8
revised What are some surprising appearances of $e$?
edited body
Feb
8
answered What are some surprising appearances of $e$?
Feb
7
comment How can I express the NOT in terms of AND, XOR, XNOR
@zulfe Well, then the Hint is that $x\ \textrm{XNOR}\ x = 1$ and that $x\ \textrm{XOR}\ 1 = \textrm{NOT}\ x$.
Feb
7
answered How can I express the NOT in terms of AND, XOR, XNOR
Feb
7
comment convert Hex value to two's Complement
With 8 bits, two's complement format can only represent integers in the range $-128$ to $+127$. You're trying to represent 0xE5 = 229.
Feb
2
revised Example where integration by parts formula fails for a.e. differentiable functions
added 56 characters in body
Feb
2
answered Example where integration by parts formula fails for a.e. differentiable functions
Feb
1
revised Two complex numbers can be equal but why can't they are greater or lesser?
edited body
Feb
1
comment Separation of Independent Probabilities with Condition
I didn't complain about the notation you used to ask "Does $P(N=i+j)$ follow a Poisson distribution", or at least I didn't mean to. I complain that I'm not sure whether that statement is an assumption or something you want to prove. Although notation-wise, you should write $N \sim \textrm{Poisson}(\lambda)$, not $P(N) \sim \textrm{Poisson}(\lambda)$, since it's $N$ that is Poisson-distribution, not $P(N)$. But that's a technicality, since it was clear what you meant.
Feb
1
comment Separation of Independent Probabilities with Condition
Finally, it's not really clear what you're trying to show. Do you want to prove that $X_1+X_2 \sim \textrm{Pois}(\lambda)$, or is that an assumption?
Feb
1
comment Separation of Independent Probabilities with Condition
Also, equation (1) doesn't really make ense. The expression to the left of the "$\sim$" has two parameters $i$ and $j$, but binomial distributions are univariate...
Feb
1
comment Separation of Independent Probabilities with Condition
Equation (2) is wrong. Once $X_1+X_2$ is held fixed, $X_1$ and $X_2$ are no longer independent! If you know $X_1+X_2$, and you know $X_1$, $X_2 is easily determined, which contradicts the independence of these quantities...
Feb
1
answered Two complex numbers can be equal but why can't they are greater or lesser?
Feb
1
answered Why we use the form which is $y=c_1 e^{r_1 t} + c_2 e^{r_2 t}$ for Second-Order Linear ODEs
Jan
7
comment What we're never taught explicitly
@Kaz It's still math in the sense that some kind of syntax is needed to be able to communicate mathematical truths, so learning the agreed-upon syntax is a necessary part of learning math.
Jan
5
comment Does the order of “unbounded” quantifiers matter?
Why would you expect there to be a different between bounded and unbounded quantifiers in this case?
Jan
1
comment How to compute the mean of this ratio?
You don't, in general, have that $\mathbb{E} \frac{1}{X} = \frac{1}{\mathbb{E} X}$.
Jan
1
answered Any solution of the inequality,$\frac{\log_3(x^2-3x+7)}{\log_3(3x+2)}<1$ is also a solution of the inequality,$x^2+(5-2a)x-10a\leq 0$
Dec
30
answered How to determine the order of a differential equation when it's solution is given