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2d
revised Proving a sequence is convergent and calculating its limit
fixed typo in title
2d
comment An example of non euclidean inner product
Perhaps we are having different definitions of inner product.
2d
comment An example of non euclidean inner product
It should be simply called symmetric bilinear form; $\langle v,v\rangle$ means that vector $v$ happens to lie in its orthogonal complement.
2d
answered An example of non euclidean inner product
2d
comment Determine outer points given more than 2 points
Just throw away the inner points
2d
answered Basis, polynomial vectors
Apr
24
revised Linear Form on a n-dimensional vector space $V$
fixed typos., and LaTeX code cleaned up.
Apr
24
comment How many elements are there in the vector space over F of dimension 5
No. In case of 2 vectors $u,v$ in the basis the set of linear combinations are $ 0.u + 1.v = v;\quad 1.u +0.v= u;\quad 1.u + 1.v = u+v;\quad 0.u + 0. v = 0$. Now you can work out for the 5 dimensional case.
Apr
24
answered Linear Form on a n-dimensional vector space $V$
Apr
24
comment How many elements are there in the vector space over F of dimension 5
Use the fact that for a basis, every vector has a unique expression as alinear combination of basis vectors; and then you can count for any field of arbitrary number of elements.
Apr
23
revised Show that a polynomial over $\mathbb{Z}_{2}$ is irreducible
Changed tag
Apr
23
comment A miraculous number N
It was proved by Chebyshev and then also by Ramanujan (before 1920)
Apr
23
answered A miraculous number N
Apr
23
reviewed Approve Good introductory books on primitive recursive functions
Apr
23
comment How to solve recurrence relation $a_{k}=7a_{k-1}-10a_{k-2}, \forall k\ge2$ with $a_{0} = a_{1} = 2$
@Omar: We are given some partial info about a sequence of numbers. With this partial info as clues we have to solve the puzzle; The info are two kinds: how the $k$ th term of the sequence is related to the previous two terms; and the other info is what the first two terms are ($a_0$ and $a_1$). Solving means getting a formula for the $k$th term $a_k$ directly in terms of $k$ and not in terms of other members of this sequence.
Apr
23
answered How can I find if the sequence $z_n = \sqrt{n+2} - \sqrt{n} $ converges or diverges?
Apr
22
answered T,S: V->V, proove that TS and ST have the same eigenvalues
Apr
22
answered Are these two fields the same?
Apr
22
answered Bijection between $\mathbb{Z} \longmapsto \mathbb{R}$
Apr
22
comment Why does mathematics fits so well with reality?
How can it be that mathematics, being after all a product of human thought independent of experience, is so admirably adapted to the objects of reality? --- Albert Einstein