weierstrass in English

noun

family name; Karl Wilhelm Theodor Weierstrass (1815-1897), German Mathematician, developer of the Weierstrass approximation theorem

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Below are sample sentences containing the word "weierstrass" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "weierstrass", or refer to the context using the word "weierstrass" in the English Dictionary.

1. Otherwise, Weierstrass was very impressed with Riemann, especially with his theory of abelian functions.

2. The numbers π and e are not algebraic numbers (see the Lindemann–Weierstrass theorem); hence they are transcendental.

3. The epsilon-delta version of Weierstrass and Cauchy developed a rigorous formulation of the logic and calculus involved.

4. Compactness Characterization Theorem Suppose that K is a subset of a metric space X, then the following are equivalent: K is compact, K satisfies the Bolzanno-Weierstrass property (i.e., each infinite subset of K has a limit point in K), ; K is sequentially compact (i.e., each sequence from K has a subsequence that converges in K).