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Nov
14 |
answered | inverted factorial and trailing zeros problem |
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 |
comment |
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 |
comment |
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 |
comment |
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.
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