Recent content by Dassinia

Hello 1. Homework Statement Find the Fourier coefficients in the annulus problem of the text. uxx+uyy=0 in 0<a²<x²+y²<b² u=g(θ) for x²+y²=a² u=h(θ) for x²+y²=b² Homework Equations The solution is The Attempt at a Solution I have the solutions but when I solved it for...

I get it, thank you !

Hello, I have the solution of a problem but there's something I don't understand Homework Statement Find the harmonic function in the square {0<x<1, 0<y<1} with the boundary conditions u(x,0)=x u(x,1)=0 ux(0,y)=0 ux(1,y)=y²tHomework EquationsThe Attempt at a Solution Part1:[/B] We first solve...

I see, thanks !

Homework Statement Hello, I don't understand the solution of an exercise Let P(x) be a continuous function such that |P(x)|≤Ceax² . Show that formula (8) for the solution of the diffusion equation makes sense for 0 < t < 1/(4ak), but not necessarily for larger t. Homework Equations Equation...

Between E and ES Ks=k-1/k1 Is it equal to k'-1/k'1=Ks' ?

Homework Statement I have this mixed inhibition, and knowing that it is a thermodynamic cycle i am asked to find the relation between the different Ki and Ks...

Hello I have the solution of a problem and I don't understand it 1. Homework Statement We know that every subgroup L<S10 acts on [1, 10] := {1, 2,..., 10} by the formula π • i = π(i). Consider L the subgroup of S10 generated by the permutation p = (1, 2, 3, 4)(4, 5)(8, 9, 10). Find the orbit...

Hello 1. Homework Statement We define the Dupin indicatrix to be the conic in TPM defined by the equation IIP(v)=1 If P is a hyperbolic point show: a. That he Dupin indicatrix is a hyperbola b/ That the asymptotes of the Dupin indicatrix are given by IIP(v)=1 , i.e., the set of asymptotic...

Hello I am studying for my exam and there's a question that i don't know how to solve, I have some difficulties with symmetric/permutations groups 1. Homework Statement Consider a finite group of order > 2. We write Aut(G) for the group of automorphisms of G and Sg for the permutations group...

I also get r=1/2 d=1/2(1-k)/(1+k) And R=1/2( (1+k)/(1-k) -1) !

For the value of d I actually took d=1/2(1-k)/(1+k) I just made a mistake in my first message ! If it can't be done by identification I don"t see another way to do that :cry:

Hi, 1. Homework Statement C : ℝ→ℝ3 given by C(t)= ( 1/2 [ (1+k)/(1-k) cos((1-k)t) - (1-k)/(1+k) cos((1+k)t) ] ; 1/2 [ (1+k)/(1-k) sin((1-k)t) - (1-k)/(1+k) sin((1+k)t) ] ) with 0<|k|<1 Show that C(t) is an epitrocoid and find R, r and d according to k Homework Equations Parametrization of...

There's a mistake in my equations it is d²(R+r)²/r²+(R+r)²-2d(R+r)²/r * cos(θ[(R+r)/r -1]) Max when cos(θ[R/r])=0 we have d²(R+r)²/r²+(R+r)² and Min when cos(θ[R/r])=1 we have d²(R+r)²/r²+(R+r)²-2d(R+r)²/r

Max when cos(θ[(R+r)/r -(R+r)])=0 we have d²(R+r)²/r²+(R+r)² and Min when cos(θ[(R+r)/r -(R+r)])=1 we have d²(R+r)²/r²+(R+r)²-2d(R+r)²/r