$X$ associates $(u, v)$ to the number $(u + v)$. Find $F_X$
42451
Sum of two uniform random variables
95379
Prove that $V = V_1 \oplus V_2$ in the following
121455
$f(x)$ if $f(xy)=f(x) +f(y) +\frac{x+y-1}{xy}$
142682
Find $f(x)$ where $ f(x)+f\left(\frac{1-x}x\right)=x$
136655
Find the range of the given function $f$
35564
Prove that $u\cdot v = \frac{1}{4}||u+v||^2 - \frac{1}{4}||u-v||^2 \forall u,v \in \mathbb{R^n}$
76458
Solve the following functional equation $f(xf(y))+f(yf(x))=2xy$
506
Finding $\int x^xdx$
152841
I want to show that $f(x)=x.f(1)$ where $f:R\to R$ is additive.
74187
$\operatorname{ord}(u)=r,\,\operatorname{ord}(v)=s$ $\,\Rightarrow\,\operatorname{ord}(uv)=rs\,$ if $\,r,s\,$ (co)primes
28096
Finding the derivative of $x\uparrow\uparrow n$
104278
Finding function $f(x)$ which satisfy given functional equation
50833
Find all $f:\mathbb R\to\mathbb R$ such that $\forall x,y\in\mathbb R$ the given equality holds: $xf(y)+yf(x)=(x+y)f(x)f(y)$.
13248
How to obtain $f(x)$, if it is known that $f(f(x))=x^2+x$?
23464
How to find a explicit bijection for some $f:A\times B \rightarrow B \times A$
52858
Find $f$ if $ f(x)+f\left(\frac{1}{1-x}\right)=x $
111240
Intersection Number of $B = Y^2 - X^3 + X$ and $F = (X^2 + Y^2)^3 - 4X^2Y^2$ using the fact $I(P,F \cap B) = ord_P^B(F) $.