Prove Sinx is Not Uniformly Continuous
How to prove $\sin(1/x)$ is not uniformly continuous
- Thread starter MathMathCookie
- Start date
- #1
MathMathCookie Asks: How to prove $\sin(1/x)$ is not uniformly continuous
How do I go about proving $f(x)=\sin(1/x)$ is not uniformly continuous?
(Or: different question, but same intention* how do I prove that $x\sin(x)$ is not uniformly continuous)
*I'm trying to grasp how one would prove $f$ is not uniformly continuous for functions other than the simple $x^n$. I have seen one technique being to set an $\epsilon$ and set $x, y$ in the form of $\delta$ (e.g. $\delta/2$, etc.) then subsequently proving that $f(x)-f
\ge\epsilon$
- user82081
- Social
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user82081 Asks: How was Harry not identified as a result of being with Ron and Hermione?
I know a variation of this question has been asked 100 times, and I understand why Draco chose not to identify Harry.
What I don't understand is how the rest of the family didn't identify Harry simply by association of being with Ron and Hermione? Who else would they be on the run with in a forest?
Everyone knows they are a trio and by default, if Ron and Hermione are there, logically the third is almost certainly going to be Harry.
I know he had been hexed, but again, surely such experienced and talented witches and wizards as Lucius and Bellatrix would realise this was the case.
In summary, how was Harry not identified as a result of being with Ron and Hermione?
- ækit
- Technology Forum
- Replies: 0
ækit Asks: How to remove repeating code in this solution?
I have this code which compresses the string.
with input of
aaabbccdsa
expecting output
a3b2c2dsa
My code is working properly but I think repeating if condition can be removed.
Code:
public class Solution { public static String getCompressedString(String str) { String result = ""; char anch = str.charAt(0); int count = 0; for(int i=0;i<str.length();i++){ char ch = str.charAt(i); if(ch == anch){ count++; } else{ if(count == 1){ // from here result += anch; }else{ result += anch+Integer.toString(count); } // to here anch = ch; count = 1; } if(i==str.length()-1){ if(count == 1){ // from here result += anch; }else{ result += anch+Integer.toString(count); } // to here } } return result; } } In this solution code below is repeated two times
Code:
if(count == 1){ result += anch; }else{ result += anch+Integer.toString(count); } - uarweak
- Technology Forum
- Replies: 0
uarweak Asks: when trying to import discord_slash it wont work
from discord_slash import SlashCommand Hello, so i've tryed many ways to get to the point where i could import discord_slash in my code... none of them worked for. I'm using Visual Studio Code if that help. When hovering over it, it says "Import "discord_slash" could not be resolved". I appreciate any kind of help!
- payam purchi
- Technology Forum
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payam purchi Asks: Create a Linux C++ project in Visual Studio 2022
i want to create application like winform for Linux . i want to use visual studio 2022 . how can i start that?? i test make file project but i need sample for this because I'm newer for Linux developer , i try in vs code on Linux but i can't create form and button and also . in the other word i want to create form and button and menu and others in vs code in Linux . in finally i search for a solution to develop application like winform for Linux in windows or Linux and vs or vs code . i won't to use mono and other simulation . i want to test in real windows.my language is c++ or C#
Source: https://solveforum.com/forums/threads/how-to-prove-sin-1-x-is-not-uniformly-continuous.666821/
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