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Feb
21
comment two shapes in a $2n\times 2n$ grid sheet, can we pick third one?
@GerryMyerson: I'm really sorry about that, I forgot to write something there. for each $n\in \mathbb N$, the $L$ shape figure containing $2n-1$ squares works in the sense that if we cut three of them out of the sheet, there is no space for another one to be cut. I forgot the word three. sorry again.
Feb
20
comment two shapes in a $2n\times 2n$ grid sheet, can we pick third one?
Beautiful and elegant solution for this case. can we generalize it to all large $n$? and another question, with the same conditions as above, suppose we have cut one copy of $L$ out of the sheet, can we always cut a second one?
Feb
20
accepted two shapes in a $2n\times 2n$ grid sheet, can we pick third one?
Feb
20
comment two shapes in a $2n\times 2n$ grid sheet, can we pick third one?
yes, they are counted as copies.
Feb
19
asked two shapes in a $2n\times 2n$ grid sheet, can we pick third one?
Feb
17
comment A subspace is the direct sum of two others
I wrote exactly the question's statement. I don't know what condition was in mind of our teacher.
Feb
17
asked A subspace is the direct sum of two others
Feb
16
asked Number of subspaces not less than cardinality of the field
Feb
13
comment finding the derivative
thanks, it was nice.
Feb
13
accepted finding the derivative
Feb
13
asked finding the derivative
Feb
6
accepted computing determinant of a matrix
Feb
6
comment computing determinant of a matrix
my solution was like this: let $a_n$ be the determinant of this matrix. then using that formula, I got $a_n=2a_{n-1}-2a_{n-3}+a_{n-4}$. solving this recurrence relation gave me that formula. :)
Feb
6
comment computing determinant of a matrix
so my formula agrees with the real determinant for small vlues of $n$, right? I'm so happy about it!!!!
Feb
6
asked computing determinant of a matrix
Feb
4
accepted Showing $\prod\limits_{i<j} \frac{x_i-x_j}{i-j}$ is an integer
Feb
3
awarded  Nice Question
Feb
3
asked Showing $\prod\limits_{i<j} \frac{x_i-x_j}{i-j}$ is an integer
Feb
2
accepted if one sequence is convergent, so is the other one
Feb
2
asked if one sequence is convergent, so is the other one