# New post in Supremum-and-infimum

## The least value of the function $f(x)=|x-a|+|x-b|+|x-c|+|x-d|$

August 19th, 2020

August 1st, 2022

August 1st, 2022

August 1st, 2022

August 1st, 2022

July 24th, 2020

## Infimum and Supremum the same

September 17th, 2020

## supremum of expectation = expectation of supremum?

November 27th, 2020

August 1st, 2022

August 1st, 2022

May 3rd, 2020

## How to show that a set has no infimum?

November 18th, 2020

August 1st, 2022

August 1st, 2022

August 7th, 2020

August 1st, 2022

## Find infimum of $\{\frac{1}{n^2} | n \in \Bbb N\}$ in $\mathbb{R}$

February 23rd, 2020

## Show every real number is the supremum of a set of rational numbers

December 9th, 2020

August 1st, 2022

August 1st, 2022

August 1st, 2022

## Prove by definition that every upper semi-continuous function can be expressed as infimum of a sequence of continuous functions.

December 8th, 2020

## Why is the infimum in the Hopf-Lax formula a minimum?

December 12th, 2020

August 1st, 2022

August 1st, 2022

August 1st, 2022

August 1st, 2022

July 17th, 2020

August 1st, 2022

August 1st, 2022