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New posts in functions
Why do engineers use derivatives in discontinuous functions? Is it correct?
real-analysis
calculus
functions
derivatives
optimization
Prove $n + H(1) + H(2) + H(3) + ... + H(n-1) = nH(n)$ by induction
functions
induction
On the functional square root of $x^2+1$
real-analysis
functions
functional-equations
function-and-relation-composition
Is there a bijective map from $(0,1)$ to $\mathbb{R}$?
real-analysis
functions
elementary-set-theory
Do harmonic numbers have a “closed-form” expression?
abstract-algebra
number-theory
functions
closed-form
harmonic-numbers
Do we really need polynomials (In contrast to polynomial functions)?
abstract-algebra
functions
polynomials
soft-question
finite-fields
Surjectivity implies injectivity and conversely
functions
elementary-set-theory
Is function $f:\mathbb C-\{0\}\rightarrow\mathbb C$ prescribed by $z\rightarrow \large \frac{1}{z}$ by definition discontinuous at $0$?
functions
soft-question
definition
Doubt about substitution in$\int_{-1}^{1}\sqrt{1+x^2}dx$
integration
functions
inverse-function
Find the values of $b$ for which the equation $2\log_{\frac{1}{25}}(bx+28)=-\log_5(12-4x-x^2)$ has only one solution
algebra-precalculus
functions
logarithms
quadratics
No continuous function switches $\mathbb{Q}$ and the irrationals
real-analysis
functions
continuity
Calculating the total number of surjective functions
combinatorics
functions
stirling-numbers
What is the Hilbert curve's equation?
geometry
functions
plane-curves
Identification of a curious function
calculus
sequences-and-series
functions
special-functions
game-theory
What functions can be made continuous by "mixing up their domain"?
real-analysis
general-topology
functions
continuity
Proving that $\lim\limits_{x\to\infty}f'(x) = 0$ when $\lim\limits_{x\to\infty}f(x)$ and $\lim\limits_{x\to\infty}f'(x)$ exist
calculus
real-analysis
limits
functions
derivatives
Overview of basic results about images and preimages
functions
elementary-set-theory
reference-request
online-resources
faq
Proof for the formula of sum of arcsine functions $ \arcsin x + \arcsin y $
functions
trigonometry
How to define a bijection between $(0,1)$ and $(0,1]$?
functions
elementary-set-theory
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