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accepted cutting a cake without destroying the toppings
May
27
comment cutting a cake without destroying the toppings
So, if I understand correctly, the algorithm is: calculate $\varepsilon_1, \varepsilon_2, \varepsilon_3, \varepsilon_4$; check the number of toppings destroyed by cutting at $T_1, T_2, T_3, T_4$; out of these four cuts, select the cut that destroys the least number of toppings. This number is guaranteed to be less than $N/4$. Is this correct?
May
27
comment cutting a cake without destroying the toppings
Ah, I see, I mis-read.
May
27
revised cutting a cake without destroying the toppings
Add an explanation - please verify that it is correct.
May
27
comment cutting a cake without destroying the toppings
But you defined $\epsilon_i$ as minimum, i.e. the smallest distance from $E_i$ to any parallel edge. This smallest distance might be 0 for all $i$.
May
26
revised cutting a cake without destroying the toppings
added 10 characters in body
May
26
comment cutting a cake without destroying the toppings
By $\epsilon_i$, do you mean the smallest distance from an edge $E_i$ of the cake to a parallel edge of a topping? But what if all epsilons are 0?
May
22
revised Counterexamples to Brouwer’s fixed point theorem
fixed probable typo
May
22
asked Brouwer fixed-point theorem on non-convex sets
May
20
answered Is this two-dimensional version of the Intermediate Value Theorem correct?
May
19
accepted Brouwer's fixed-point theorem and the intermediate value theorem?
May
19
awarded  Socratic
May
18
comment Brouwer's fixed-point theorem and the intermediate value theorem?
Why is this obvious that $g$ is continuous?
May
18
revised Brouwer's fixed-point theorem and the intermediate value theorem?
Just made it slightly more readable for me.
May
18
comment Brouwer's fixed-point theorem and the intermediate value theorem?
@zoli done......
May
18
revised Brouwer's fixed-point theorem and the intermediate value theorem?
added 22 characters in body
May
18
asked Brouwer's fixed-point theorem and the intermediate value theorem?
May
15
comment “Intermediate Value Theorem” for curves
@DongryulKim Actually this theorem answers another question which I asked some time ago: math.stackexchange.com/questions/1070472/… Would you like to write an answer to that question?
May
15
revised Is this two-dimensional version of the Intermediate Value Theorem correct?
added 206 characters in body
May
14
comment “Intermediate Value Theorem” for curves
Yes, I meant to ask about a connected component. Does the word "curve" implies path-connectedness?