Web12 de nov. de 2015 · As we know, it was Weierstrass who gave the first (published) example, in 1872, of a function which is continuous but everywhere non-differentiable. However, in his paper "Über continuirliche Functionen eines reellen Arguments, die für keinen Werth des letzeren einen bestimmten Differentialquotienten besitzen" there is no … Web2 de dez. de 2009 · This is the topic in the Real Analysis class I’m teaching right now. Surprisingly, there are functions that are continuous everywhere, but differentiable nowhere! More surprisingly, it is possible to give an explicit formula for such a function. Weierstrass was the first to publish an example of such a function (1872).
Weierstrass’s non-differentiable function - Semantic Scholar
WebWeierstrass in 1872 as an example of a continuous, nowhere difierentiable function. In fact, the non-difierentiability for all given above parameters a, b was proved by Hardy … WebThe original constructions of elliptic functions are due to Weierstrass [1] and Jacobi [2]. In these lectures, we focus on the former. Excellent pedagogical texts on the subject of elliptic functions are the classic text by Watson and Whittaker[3] … flp002-w
4.7: NONDIFFERENTIABLE CONVEX FUNCTIONS AND …
Web1 de jan. de 2009 · Weierstrass Function Nondifferentiable Function Unique Continuous Solution These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves. Download chapter PDF Author information Authors and Affiliations WebThe Weierstrass Function Math 104 Next, we handle S 2. First, recall that y m= m 1 bm, that mis an integer, and that bis an odd integer. Thus cos bn+mˇy m = cos(bnˇ( m 1)) = ( … WebFor a further discussion of certain points concerning Weierstrass's function in particular, see: Wiener, Geometrische und analytische Untersuchung der Weierstrass'schen … greencycle discount code