https://metaphor.ethz.ch/x/2022/fs/401-3118-22L/ex/sheet9.pdf
... Weierstrass equations, for which the smoothness condition can be checked by a polynomial equation. 2 Legendre ... Form and j-invariant There is another form of Weierstrass equation that is sometimes convenient. A ... Weierstrass equations, for which the smoothness condition can be checked by a polynomial equation. 2 Legendre ... Form and j-invariant There is another form of Weierstrass equation that is sometimes convenient. A ...
https://metaphor.ethz.ch/x/2022/fs/401-3932-19L/ex/ex2.pdf
... Exercise sheet 2 Exercise 2.1 (Stone- Weierstrass theorem [1]) (a) Construct a sequence of polynomials ... on [0, 1] to prove the Stone- Weierstrass theorem. Exercise 2.2 (Bernstein approximation [5]) Let Bfn ... Exercise sheet 2 Exercise 2.1 (Stone- Weierstrass theorem [1]) (a) Construct a sequence of polynomials ... on [0, 1] to prove the Stone- Weierstrass theorem. Exercise 2.2 (Bernstein approximation [5]) Let Bfn ...
https://metaphor.ethz.ch/x/2019/hs/401-2303-00L/ex/SolSheet9.pdf
... criterion. Therefore ζ(z) converges uniformly on K by the Weierstrass criterion and it converges locally ... uniformly on |z| ≤ R by the Weierstrass criterion. Let K ⊂ D be a compact subset. Then there exists R < 1 ... criterion. Therefore ζ(z) converges uniformly on K by the Weierstrass criterion and it converges locally ... uniformly on |z| ≤ R by the Weierstrass criterion. Let K ⊂ D be a compact subset. Then there exists R < 1 ...
Algebraic Curves Spring 2017
... of the Weierstrass function The book Riemann surfaces and algebraic curves by Renzo Cavalieri and ... calculations. Links A paper about the zeroes of the Weierstrass function The book Riemann surfaces and ...
FIM poster conference analysis 2014
... , Weierstrass-Institute for Applied Analysis and Stochastics Alexander Volberg, Michigan State University ... , Weierstrass-Institute for Applied Analysis and Stochastics Alexander Volberg, Michigan State University ...
https://metaphor.ethz.ch/x/2022/fs/401-3932-19L/ex/sol2.pdf
... Solution sheet 2 Exercise 2.1 (Stone- Weierstrass theorem [1]) (a) Construct a sequence of polynomials ... on [0, 1] to prove the Stone- Weierstrass theorem. Solution 2.1 (a) Consider the function fn(x) = nx(1 ... Solution sheet 2 Exercise 2.1 (Stone- Weierstrass theorem [1]) (a) Construct a sequence of polynomials ... on [0, 1] to prove the Stone- Weierstrass theorem. Solution 2.1 (a) Consider the function fn(x) = nx(1 ...
https://metaphor.ethz.ch/x/2019/hs/401-2303-00L/ex/ExSheet9.pdf
... . 1 (b) Is the converse of Weierstrass M-test true in general? 2 ... . 1 (b) Is the converse of Weierstrass M-test true in general? 2 ...
https://kyng.inf.ethz.ch/courses/AGAO20/problem_sets/ps2.pdf
... . You might use the following two theorems. Theorem (Bolzano- Weierstrass). Every bounded sequence in Rn ... . You might use the following two theorems. Theorem (Bolzano- Weierstrass). Every bounded sequence in Rn ...
Chair for Mathematical Information Science > Home
... functions. Moreover, this holds true even for one-dimensional oscillatory textures and the Weierstrass ... -dimensional oscillatory textures and the Weierstrass function—a fractal function, neither of which has ...
https://people.math.ethz.ch/~struwe/ND/grigoryan.pdf
... the heat equation in Rn given by the Gauss- Weierstrass formula pt (x, y) = 1 (4pit) n/2 exp ( −|x− y ... the heat equation in Rn given by the Gauss- Weierstrass formula pt (x, y) = 1 (4pit) n/2 exp ( −|x− y ...
