Recent content by Barioth

Thanks, very clean!

Hi, I'm trying to show that Givien a probability triplet (\theta,F,P) with G\in F a sub sigma algebra E(E(X|G))=E(X) Now I want to use E(I_hE(X|G))=E(I_hX) for every h\in G since that's pretty much all I've for the definition of conditional expected value. I know this property should use the...

Hi Everyone I'm trying to evaluate: \frac{d}{dW}\sum_{i=1}^{n}||t_i-W^Tx_i||^2+\sum_{i=1}^{n}||w_i||^2 Where t_i,x_i avec vector and w_i is a column of W. Would the solution be: \frac{d}{dW}\sum_{i=1}^{n}(t_i-W^Tx_i)x_i+\sum_{i=1}^{n}2*w_{i,j} does that make sense? edit: Please don't...

I don't have a lot of time, but I'll try to answer Q4. let h=goy :x-->z say h(a)=h(b) ==> goy(a)=goy(b) Since y is a bijection we have that y(a)=y(b) if and only if a=b. Say a is not equal to b... then y(a)=c and y(b) = d then we have g(d) = g(c) Now since d is not equal to d and since g is...

Hi everyone! I'm kind of lost lately... I finish my undergrad in Pure mathematic last semester. I got accepted for master in mathematic. But I don't know what field to choose.. I'm afraid I won't be getting any job after (and sadly with my student loan, I kind of need a job hehe). I was...

Let f(x,y)= \frac{x^3+y^3}{x^2-y} if x^2 is not equal to y and 0 otherwise. I need to find the limit when (x,y)->(0,0) I'm sure the limit exist and is equal to 0, I was unable to conclude switching to polar coordinate so I wana use "the squeeze law" I only have to evaluate f(x,y)=...

tacking y=m*x we end up with \frac{-2*m*x^4}{(m^2+1)^2*x^4}= \frac{-2*m}{(m²+1)²} This telling me that the limite when (x,y)->(0,0) isn't contiunous. There for the partial derivative doesn't exist at 0. I can conclude that f(x,y) has no derivative at (0,0). Thank you for the help!

Hi, I'm having trouble évaluation the differentiability at (0,0) of the function f(x,y)=\frac{x^3}{x^2+y^2} for (x,y) not nul, and f(x,y)=0 if (x,y)=0 I know f is differentiable if (x,y) isn't nul since the partial derivative are continuous, but I don't know how to evaluate it at (0,0)...

Hi here is the problem I'm working on, Let $A(x_1)$ be a well formed formula of a language $L$ in which $x_1$ is free, let $a_1$ an invidual constant of $L$, Show that the formula $A(a_1)\rightarrow(\exists x_1)A(x_1)$ is a theorem of $K_L$ on this link, the first slide as the axiom of $K_L$...

The answer to A- 44%, B- 22%, C- 41.5% I don't think these answer on their own will help you... as I said earlier, can you find out the value of P(A),P(B),P(A∩B)

Don't be, you're giving me some of your free time, I can only thanks you! As for the scope of $\forall x_1$ from it should only be on $A^3_1(...)$ So doing the substition: A[t/x]:= (\forall x_1) A^3_1(f^2_1(x_1,x_2),x_2,f^1_1(x_2))\rightarrow (\forall x_2)A^2_1(t,x_3) and then since the...

I'll give you the general formula, Try and see if you can how you can use them. we'll put A: The patient has high blood preasure B: The patient has heart problem From what you have writen Can you write down $P(A), P(B), P(A \cap B)$ Here are some general formula: $P(A \cup B) =...

Tacking for granted that SD stand for standard deviation, since you only have a sample there is no way for you to evaluate the SD/variance of the whole population. Therefore you solve the SD/variance for the sample only.

1) Thanks for tacking the time to write such a complete answer. 2) (\forall x_1) A^3_1(f^2_1(x_1,x_2),x_2,f^1_1(x_2))\rightarrow (\forall x_2)A^2_1(x_1,x_3) Would became, following your advisor's convention: (\forall x_1) A^3_1[f^2_1[x_1,x_2],x_2,f^1_1[x_2]]\rightarrow (\forall...

I would guess that V= X - Y and that you should find the find the marginal distributions of U and V. You should use the Corollary to find their distribution, then try and apply the marginal distribution stuff. But I could be wrong, good luck!