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Nowhere continuous functions $f: \mathbb{R} \to \mathbb{R}$ such that $f(f(x)) = (f(x))^2$
real-analysis
functions
continuity
real-numbers
About the solution of the infinite recurrence $f(x,f(x,f(x,f(x,f(...))))=a$
functions
convergence-divergence
functional-equations
Function that is discontinuous only for integer fractions
analysis
functions
continuity
I need the expression of a function which goes to infinity as x goes to 0 and has a finite integral
integration
functions
convergence-divergence
continuity
What is the difference between Curve Fitting and Regression(Machine Learning)?
functions
numerical-methods
regression
machine-learning
Is every real valued function on an interval a sum of two functions with Intermediate Value Property?
real-analysis
functions
A relation that is both an equivalence relation and a function. [closed]
functions
discrete-mathematics
relations
Approximating smooth function on $[0,1]$ by Bernstein polynomial (interested in approximation rate in $L^2$ norm)
real-analysis
functions
polynomials
reference-request
approximation-theory
Proving $f : (-1, 1) \rightarrow \mathbb{R}$ has a property
real-analysis
functions
Graphing $f(2-x)$
functions
linear-transformations
solution-verification
graphing-functions
transformation
Find all functions $f:\mathbb{R}^+\to \mathbb{R}^+$ such that for all $x,y\in\mathbb{R}^+$, $f(x)f(yf(x))=f(x+y)$
real-analysis
analysis
functions
contest-math
functional-equations
Comparing the growth rates
functions
Proving that, $|f'(x)-f'(y)|\le k|x-y| \implies (f'(x))^2< 2 kf(x) $
calculus
real-analysis
analysis
functions
lipschitz-functions
How to solve the functional equation $ f(f(x))=ax^2+bx+c $
functional-analysis
functions
functional-equations
Solving $\arcsin\left(2x\sqrt{1-x^2}\right) = 2 \arcsin x$
functions
trigonometry
inverse
Finding the turning points of $f(x)=\left(x-a+\frac1{ax}\right)^a-\left(\frac1x-\frac1a+ax\right)^x$
functions
derivatives
implicit-differentiation
stationary-point
Show f is uniformly continuous on $(a,b)$ if it is continuous and $\lim\limits_{x\to a^+}f(x)$ and $\lim\limits_{x\to b^-}f(x)$ exist
real-analysis
functions
continuity
How to pass arguments to functions while executing a python script from terminal?
command-line
python
functions
Let $(f(x))^2$ and $(f(x))^3$ are $C^{\infty}$. Prove or disprove that $f$ is $C^{\infty}$.
real-analysis
functions
Is it possible to write a bash function to change directory by passing the name of a directory variable?
bash
functions
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