Categories
Tags
Supremum-and-infimum
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
supremum-and-infimum
derivatives
How to prove that the spectral radius of a linear operator is the infimum over all subordinate norms of the corresponding norm of the operator.
August 1st, 2022
normed-spaces
eigenvalues-eigenvectors
inequality
supremum-and-infimum
linear-algebra
How to prove the following properties of infimum and supremum involving the union and intersection of the sets $A_k$
August 1st, 2022
probability-theory
supremum-and-infimum
Inequality involving supremum and integral
August 1st, 2022
real-analysis
integration
functions
supremum-and-infimum
Operator norm in terms of matrix norm
August 1st, 2022
matrices
supremum-and-infimum
normed-spaces
inf e sup of empty set?
July 24th, 2020
supremum-and-infimum
Infimum and Supremum the same
September 17th, 2020
real-analysis
real-numbers
supremum-and-infimum
supremum of expectation = expectation of supremum?
November 27th, 2020
probability
supremum-and-infimum
expected-value
Proving sup(A + B) = sup A + sup B
August 1st, 2022
supremum-and-infimum
Norm is sup of inner products (proof).
August 1st, 2022
vector-spaces
supremum-and-infimum
normed-spaces
hilbert-spaces
Matrix norm inequality proof - does this use Cauchy-Schwarz?
May 3rd, 2020
supremum-and-infimum
matrices
inequality
normed-spaces
How to show that a set has no infimum?
November 18th, 2020
supremum-and-infimum
real-analysis
$\sup\{g(y):y\in Y\}\leq \inf\{f(x):x\in X\}$
August 1st, 2022
real-analysis
supremum-and-infimum
inequality
Prove that if $A$ has a maximum, then the maximum must be the supremum
August 1st, 2022
analysis
supremum-and-infimum
proof-verification
real-analysis
Is $\emptyset$ bounded? Why then $\inf \emptyset = \infty$ is reasonable?
August 7th, 2020
supremum-and-infimum
real-analysis
elementary-set-theory
How to prove $a \lt b$ for all $a \in A, b \in B$ implies $\sup A \leq \inf B$?
August 1st, 2022
supremum-and-infimum
real-analysis
elementary-set-theory
inequality
Find infimum of $\{\frac{1}{n^2} | n \in \Bbb N\}$ in $\mathbb{R}$
February 23rd, 2020
real-analysis
supremum-and-infimum
Show every real number is the supremum of a set of rational numbers
December 9th, 2020
real-analysis
proof-verification
supremum-and-infimum
The sup{(n-1)/n : n is a natural number} exists?
August 1st, 2022
real-analysis
supremum-and-infimum
Proof of $\sup ST = \sup S \sup T$
August 1st, 2022
supremum-and-infimum
Finding the lim sup and lim inf of a sequence?
August 1st, 2022
sequences-and-series
real-analysis
supremum-and-infimum
Prove by definition that every upper semi-continuous function can be expressed as infimum of a sequence of continuous functions.
December 8th, 2020
metric-spaces
supremum-and-infimum
semicontinuous-functions
general-topology
Why is the infimum in the Hopf-Lax formula a minimum?
December 12th, 2020
supremum-and-infimum
hamilton-jacobi-equation
partial-differential-equations
Infimum of distance between point and (closed) set
August 1st, 2022
supremum-and-infimum
analysis
what is the difference between bounded and convergent?
August 1st, 2022
supremum-and-infimum
convergence-divergence
real-analysis
Limit is less than the supremum
August 1st, 2022
supremum-and-infimum
convergence-divergence
inequality
limits
real-analysis
Is $\lim\sup=\sup\lim$?
August 1st, 2022
calculus
real-analysis
supremum-and-infimum
limsup-and-liminf
sequences-and-series
Supremum of the product of sets
July 17th, 2020
supremum-and-infimum
proof-writing
proof-verification
real-analysis
Supremum is continuous over equicontinuous family of functions
August 1st, 2022
equicontinuity
supremum-and-infimum
real-analysis
Constant times Supremum
August 1st, 2022
supremum-and-infimum
real-analysis
←
1
2
3
4
5
6
7
8
→