New posts in functions

Function of a line in this Reading Comprehension

meaning-in-context phrase-meaning reading comprehension functions

Intuition behind convex functions

calculus functions

Lim Sup/Inf for real valued functions

real-analysis sequences-and-series analysis limits functions

Existence of smooth extension of a function defined on a closed interval

real-analysis analysis functions

Separable and non-separable function

Measurable Maps and Continuous Functions

measure-theory functions

$f\left(\frac{2z}{1+z^2}\right)=\left(1+z^2\right)f(z)$, solve $f$.

functions functional-equations

Why are fractal curves nowhere differentiable?

functions derivatives fractals

Determining the maximum value for the solution of this delay differential equation?

ordinary-differential-equations functions derivatives dynamical-systems delay-differential-equations

When is it allowed to do operations like 'differentiating both sides', 'integrating both sides'?

integration functions derivatives transformation

Finding the smallest $\alpha>0$ for which $\exists\beta(\alpha)>0$ so that $\sqrt{1+x}+\sqrt{1-x}\le 2-\frac{x^\alpha}\beta,\forall x\in[0,1]$.

real-analysis functions

Show that there exist a set $R$ and functions $β : S → R$ and $γ : R → T$ such that $β$ is onto, $γ$ is one-to-one and $α = γβ.$

functions function-and-relation-composition

A function satisfying $f \left ( \frac 1 {f(x)} \right ) = x$ [duplicate]

functions functional-equations inverse-function

Prove that sets $A=(-1,5]$ and $B=(3,11)$ have the same cardinality

functions discrete-mathematics solution-verification

Subexponential growing functions

functions definition

Not every function on $[0,1]$ is a pointwise limit of continuous functions on $[0,1]$

real-analysis functional-analysis limits functions

Extending functions from integers to reals in a "nice" way.

calculus functions

$f'(c) \ge 0 , \forall c \in (a,b)$ then $f$ is increasing in $[a,b]$ , proof of this without Mean Value theorem

real-analysis functions derivatives

Integers less than $7000$ achievable by starting with $x=0$ and applying $x\to\lceil x^2/2\rceil$, $x\to\lfloor x/3\rfloor$, $x\to9x+2$

combinatorics number-theory functions contest-math recreational-mathematics

Determine the value of ${k}$ for quadratic roots

algebra-precalculus functions quadratics