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University of Florence


Jul
5
answered Derivative of $f(0)=0$
Jul
2
awarded  Curious
Jun
27
awarded  calculus
Jun
26
answered Sums of solutions to $z^n-1 = 0$ that equal 0
Jun
26
answered limit as goes to infinity… I thought it is simple
Jun
26
answered Parametric form of curve $\vert z+i\vert = 1$
Jun
26
answered how to calculate integrate about Heaviside
Jun
25
answered Permutation, Combinatorics
Jun
25
answered Is there a flaw in this proof of the Bolzano-Weierstass theorem in $\mathbb{R}$?
Jun
25
comment What is the domain of the function $F(x)=\int_{0}^{x}\frac{\operatorname{arctan}(t)}{t}dt$?
@Paul: thanks i've corrected my answer. In fact it is indeed not clear how the improper integral could be possibly defined on the empty interval $(a,a)$... I think that it should be $0$ by definition.
Jun
25
revised What is the domain of the function $F(x)=\int_{0}^{x}\frac{\operatorname{arctan}(t)}{t}dt$?
added 119 characters in body
Jun
25
comment What is the domain of the function $F(x)=\int_{0}^{x}\frac{\operatorname{arctan}(t)}{t}dt$?
It much depends on the definitions you are given. Notice however that if you decide it is not defined for $x=0$ it is not defined for any value of $x$. Hence you have two possibilities: either the function is defined for all $x$ or for no $x$.
Jun
25
answered Understanding an Intermediate Value theorem problem
Jun
25
answered What is the domain of the function $F(x)=\int_{0}^{x}\frac{\operatorname{arctan}(t)}{t}dt$?
Jun
12
comment probability in roulette!
The best thing you can is not to play.
Jun
11
comment Solve set problems without Venn diagrams
@MauroALLEGRANZA my position is that your solution is using the inclusion-exclusion principle when you say: in order to avoid counting twice. Once you assume that the equation given by this principle is true, then the problem becomes algebraic. Notice that this principle is about finite sets and can be understood without knowning anything about general set theory (let alone Cantor).
Jun
11
answered Find all the asymptote of $1-x+\sqrt{2+2x+x^2}$
Jun
11
answered $l_{p}$ metric on $\mathbb{R}^{n}$ and its open balls
Jun
11
comment $l_{p}$ metric on $\mathbb{R}^{n}$ and its open balls
1. cannot read indices in the answer. 2. what you mean with ??
Jun
11
comment Solve set problems without Venn diagrams
@AsafKaragila I don't know category theory. However you could explain your position by solving the stated problem using combinatorics without set theory.