In this paper, we construct some continuous but non-differentiable functions defined by quinary decimal, that are Kiesswetter-like functions. We discuss their properties, then investigate the Hausdorff dimension
其实有很多类似的问题,如 [1][2][3][4],部分相关的问题[5],以及部分证明[6],其中也引用了一篇详细介绍这样的函数的论文Continuous Nowhere Differentiable Functions.还有一些奇奇怪怪的梗 [7][8][9][10][11][…
The problem of nondifferentiable continuous functions has been studied by a very large number of mathematicians and historians of mathematics. Of the papers in which the history of this problem has been traced in more or less detail one can, for example, mention the following: Pascal [1, pp....
Answer to: Help please Show that f(x) = {^x^2 - 5, x lessthanorequalto 1 _x - 5, x greater than 1 is continuous but not differentiable at x = 1. By...
1) nowhere differentiable continuous functions 连续不可导函数2) continuous derivatived functions 连续可导函数 1. This paper gives a general method of how to solve the maximum and minimum of the continuous derivatived functions in open interval by a detailed analysis. 本文通过对开区间内连续可导...
Answer to: If possible, give an example of where a function is continuous at a point but not differentiable at that point. By signing up, you'll...
Given the graph of a function f. Find the point where f is not differentiable. At which number c is f continuous but not differentiable? Given f(x) = \frac{\sqrt {x + 1} - 2}{x - 3} let function f(x) of 3 so that it becomes continuous at 3. ...
A function is not differentiable if it is not continuous. The main rule of theorem is that differentiability implies continuity. The contrapositive of that statement is: if a function is not continuous then it is not differentiable. However, there are continuous functions that are not differentiable...
At x=0 it has a very pointy change! But it is still defined at x=0, because f(0)=0 (so no "hole"), And the limit as you approach x=0 (from either side) is also 0 (so no "jump"), So it is in fact continuous. (But it is not differentiable at x=0)Differentiable...
Differentiable 的功能是连续的 翻译结果3复制译文编辑译文朗读译文返回顶部 可微函数是连续 翻译结果4复制译文编辑译文朗读译文返回顶部 可微函数是连续的 翻译结果5复制译文编辑译文朗读译文返回顶部 可微函数是连续的 相关内容 asubmit your voting resullt 正在翻译,请等待... [translate] ayou write with it 您写与...