bio | website | |
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location | Kolkata | |
age | 40 | |
visits | member for | 4 years |
seen | Mar 13 '11 at 12:05 | |
stats | profile views | 78 |
I have interest in both Pure Mathematics and Computer Science. The interplay between mathematics and computer science fascinates me. I love to solve real life computer science problems, and if that challenges me mathematically then its a pleasure for me to delve deep into that.
Sep 24 |
awarded | Autobiographer |
Oct 18 |
comment |
A mapping from a lattice to itself
I haven't understood the 3rd line of your comment. Whats the definition of e and how "93 is not a power of 2" applies here to conclude that answer may be infinity. |
Oct 18 |
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A mapping from a lattice to itself
I don't think for any $a \in Z$, and for $a > 1$, the relation $a^{3} = a^{2} + a + 1$ holds. Can you provide a real example in support of your claim. |
Oct 1 |
answered | A mapping from a lattice to itself |
Sep 30 |
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A mapping from a lattice to itself
Answer to the first question is not at all infinity. For example, take $n = 2$.$S_{1}$ is then the set of points with $a_1 = a_2$. The other points of $Z^{2} - {0}$ are in $S_{2}$. And $S_{i}$ for $i >= 3$ is empty. So answer here is 2. Infact, for $n = 2$ this holds for $\mathbb Q$ and $\mathbb R$. |
Sep 29 |
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A mapping from a lattice to itself
Whats the notion of homogenity in algebraic geometry then. Can you please elaborate a bit. |
Sep 29 |
answered | practical applications of eigenvalues and eigenvectors |
Sep 29 |
awarded | Teacher |
Sep 29 |
comment |
A mapping from a lattice to itself
Yes $Z$ is the set of integers. Each $a_{j} \in Z$ for all $j = 1,2, \ldots, n.$ The earlier paper, I referred is the following. A number-theoretic game Prithvi Ramesh Published in Resonance, January 2003, P.84-88 |
Sep 29 |
comment |
A mapping from a lattice to itself
They mean absolute values. |
Sep 29 |
revised |
A mapping from a lattice to itself
Changing math formatting |
Sep 29 |
asked | A mapping from a lattice to itself |
Sep 29 |
answered | Ingenuity in mathematics |
Sep 29 |
awarded | Scholar |
Sep 29 |
accepted | How to study the behavior of a particular function on a Vector Space. |
Sep 28 |
awarded | Editor |
Sep 28 |
awarded | Student |
Sep 28 |
comment |
How to study the behavior of a particular function on a Vector Space.
$X = K'^{n}$, where $K'$ is a field and $K \subset K'$. This can also be the case. Now, you talked about an equivalence relation, one question is if $K'$ is a finite field, then can it be possible to enumerate all the equivalence classes, or the number of equivalence classes. |
Sep 28 |
revised |
How to study the behavior of a particular function on a Vector Space.
New Tag added |
Sep 28 |
comment |
How to study the behavior of a particular function on a Vector Space.
If $X = (x_1, x_2, \ldots, x_n)$, then $k + X = (k + x_1, k_ + x_2, \ldots, k + x_n)$. |