Oct 27, 2023 · Hi, I have problems with the proof for task a I started with the supremum first, but the proof for the infimum would go the same way. I used an epsilon...

Jan 13, 2005 · The supremum is the least upper bound, while the infimum is the greatest lower bound, and they may not be contained within the set itself. The conversation also touches on …

May 4, 2010 · Could anyone tell me where to find a proof of the fact that the supremumnorm is a norm? The supremum norm is also known as the uniform, Chebychev or the infinity norm.

Mar 20, 2024 · Hello, found this proof online, I was wondering why they defined r_2=r_1-(r_1^2-2)/(r_1+2)? i understand the numerator, because if i did r_1^2-4 then there might be a chance …

Feb 9, 2014 · MHB How can I find the maximum, minimum, supremum, and infimum of a given set? evinda Feb 9, 2014 Click For Summary

Aug 30, 2006 · M is a supremum of B if it is the smallest superior bound. But is B even bounded superiorly? Ok so I think I see what your saying. The set will not be bounded above or below …

May 3, 2009 · It's not a convention -- it follows directly from the definition of the supremum as the least upper bound and the infimum as the greatest lower bound.

Oct 2, 2011 · When we talk about supremum/infinum/etc, does it mean the largest/smallest number on the x-axis or y axis?? Ok so first my professor was explaining how when x^2 < 2 , …

Apr 27, 2005 · Calculating the supremum of sin n for positive integers n can be a challenging task in analysis. One approach to solving this problem is to use the properties of the sine function …

Feb 19, 2020 · The number is clearly something important for this set, and it is indeed the smallest number greater than all members of the set, which is the least upper bound or …