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New posts in functions
$f(z)=\frac{z}{1+|z|} $ Is 1-1?
complex-analysis
analysis
functions
Is there a simple-ish function for modeling seasonal changes to day/night duration and height of the sun?
functions
trigonometry
continuity
mathematical-modeling
To prove : If $f^n$ has a unique fixed point $b$ then $f(b)=b$
real-analysis
functions
fixed-point-theorems
How to find $f:\mathbb{Q}^+\to \mathbb{Q}^+$ if $f(x)+f\left(\frac1x\right)=1$ and $f(2x)=2f\bigl(f(x)\bigr)$ [duplicate]
functions
functional-equations
Functional equation in natural numbers with divisibility: $f(m) + f(n) + mn \ | \ m^2f(m) + n^2f(n) + f(m)f(n)$
elementary-number-theory
functions
divisibility
functional-equations
Bijection from (0,1) to [0,1)
real-analysis
functions
Prove $\sup \left| f'\left( x\right) \right| ^{2}\leqslant 4\sup \left| f\left( x\right) \right| \sup \left| f''\left( x\right) \right| $ [closed]
calculus
real-analysis
functions
inequality
derivatives
Higher order factorials.
functions
factorial
gamma-function
Are there parabolic and elliptical functions analogous to the circular and hyperbolic functions $\sinh$, $\cosh$, and $\tanh$?
functions
trigonometry
conic-sections
Explicit bijection between $[0,1)$ and $(0,1)$ [duplicate]
functions
cardinals
Prove $kf(x)+f'(x)=0 $ when conditions of Rolle's theorem are satisfied .
calculus
real-analysis
functions
derivatives
How to prove: Moment Generating Function Uniqueness Theorem
probability
functions
moment-generating-functions
How to approach proving $f^{-1}(B\setminus C)=A\setminus f^{-1}(C)$?
functions
elementary-set-theory
Conventions for function notation
functions
notation
Lipschitz Smoothness, Strong Convexity and the Hessian
functions
convex-analysis
Bijection from finite (closed) segment of real line to whole real line [closed]
elementary-set-theory
functions
Are all multiplicative functions additive?
linear-algebra
functions
functional-equations
Can the Identity Map be a repeated composition one other function?
real-analysis
functions
function-and-relation-composition
How can I protect parentheses passed to a cd command? [duplicate]
bash
directory
alias
functions
Construction of $g:\mathbb{N}\rightarrow\mathbb{N}$ surjective, such that $g^{-1}(n)=\infty,\;\forall n\in\mathbb{N}$
functions
examples-counterexamples
natural-numbers
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