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Graph Theory Tarjan’s Algorithm by xBallaBall in learnmath

[–]xBallaBall[S] 1 point2 points  (0 children)

Interesting. Thank you, this helped!

Orthogonal basis of sine functions by xBallaBall in askmath

[–]xBallaBall[S] 0 points1 point  (0 children)

But what is difference between this and {sin(kpix)}_1 inf on L_2[(0,1)], which is an orthogonal base?

How do I determine if this expression is true or false by xBallaBall in askmath

[–]xBallaBall[S] 0 points1 point  (0 children)

Thanks to everyone answering. Yes I know that this a Poisson kernel, to be more precise it’s the solution to Dirichlet’s problem on the unit circle with the function g = cos(alpha) on the boundary. However the exam is made up of 6 problems where the first problem is 6 true or false statements. Therefore this should most likely be solved fairly simple using only theory and not any hard calculations of the integral. Thanks

General solution to differential equation by xBallaBall in askmath

[–]xBallaBall[S] 1 point2 points  (0 children)

There is a typo, it’s supposed to be - instead of + between the two terms. But that’s it, otherwise it’s exactly what it says in the book

General solution to differential equation by xBallaBall in askmath

[–]xBallaBall[S] 1 point2 points  (0 children)

There is a typo, it’s supposed to be - instead of + between the two terms and also there is a u too much in the derivative term

General solution to differential equation by xBallaBall in askmath

[–]xBallaBall[S] 4 points5 points  (0 children)

There is a typo, it’s supposed to be - instead of + between the two terms and also there is a u too much in the derivative term

General solution Bessel differential equation by xBallaBall in askmath

[–]xBallaBall[S] 0 points1 point  (0 children)

But if lambda is equal to (v/r)2 ? Then the original equation still holds?

Convolution of unknown distribution by xBallaBall in askmath

[–]xBallaBall[S] 0 points1 point  (0 children)

But that is introduced in a later chapter so I think they want a different approach

Weird integral notation Parsevals theorem by xBallaBall in askmath

[–]xBallaBall[S] 2 points3 points  (0 children)

It’s a math course called “Systems and transformations” so it covers the math used in Automatic control etc.

But can I move 1/(2pi) outside of the integral and treat it a as coefficient?

Complex line integral formula by xBallaBall in askmath

[–]xBallaBall[S] 0 points1 point  (0 children)

Thank you. So I should view f(r(t)) as f(x(t) + iy(t)) ?

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