Dtjytyk

What would happen to a modern skyscraper if it rains micro blackholes?

What do you call a Matrix-like slowdown and camera movement effect?

Adding span tags within wp_list_pages list items

Do VLANs within a subnet need to have their own subnet for router on a stick?

Theorems that impeded progress

Can an x86 CPU running in real mode be considered to be basically an 8086 CPU?

Today is the Center

How is it possible to have an ability score that is less than 3?

Why doesn't Newton's third law mean a person bounces back to where they started when they hit the ground?

Why Is Death Allowed In the Matrix?

An academic/student plagiarism

To string or not to string

strToHex ( string to its hex representation as string)

Arthur Somervell: 1000 Exercises - Meaning of this notation

tikz: show 0 at the axis origin

Show that if two triangles built on parallel lines, with equal bases have the same perimeter only if they are congruent.

Modeling an IPv4 Address

Can a Warlock become Neutral Good?

How could an uplifted falcon's brain work?

What are these boxed doors outside store fronts in New York?

A newer friend of my brother's gave him a load of baseball cards that are supposedly extremely valuable. Is this a scam?

Smoothness of finite-dimensional functional calculus

Is this a crack on the carbon frame?

What's the output of a record cartridge playing an out-of-speed record

Multisets of scalars from a multiset of real vectors

Combinations of multisets - the theory?Combinatorics/Multisets problem questionQuestion concerning defining a particular class of functionsAlgorithm to partition a multiset into $K$ equal sized multisetsExpected “overlap” between permutations of a multisetLeave-$k$-out greatest common divisorPartitioning a multiset into multisets of fixed sizesNotation for sum over a multisetHow to define a map from a multiset to a multisetApplying a function on any multiset of real numbers

0

$begingroup$

Suppose that we have a multiset $M$ of real vectors of dimension 3 such as $M = {{(1,2,3),(1,5,6),(7,8,9)}}$. How can we define a multiset $M_n$ containing the $n$-th components of the vectors in M?

For instance, we would like to have:

$M_1 = {{1,1,7}}$,

$M_2 = {{2,5,8}}$,

$M_3 = {{3,6,9}}$.

I think something like $M_n = {v_1 in mathbb{R} | exists(v1,v2,v3)in M}$ would be sufficient for a set, but I am not sure that the predicate is sufficient for a multiset ($M_n = {{v_1 in mathbb{R} | exists(v1,v2,v3)in M}}$).

multisets

share|cite|improve this question

edited Mar 19 at 23:28

benlaug

asked Mar 19 at 23:23

benlaugbenlaug

1033

$endgroup$

add a comment | 

0

$begingroup$

Suppose that we have a multiset $M$ of real vectors of dimension 3 such as $M = {{(1,2,3),(1,5,6),(7,8,9)}}$. How can we define a multiset $M_n$ containing the $n$-th components of the vectors in M?

For instance, we would like to have:

$M_1 = {{1,1,7}}$,

$M_2 = {{2,5,8}}$,

$M_3 = {{3,6,9}}$.

I think something like $M_n = {v_1 in mathbb{R} | exists(v1,v2,v3)in M}$ would be sufficient for a set, but I am not sure that the predicate is sufficient for a multiset ($M_n = {{v_1 in mathbb{R} | exists(v1,v2,v3)in M}}$).

multisets

share|cite|improve this question

edited Mar 19 at 23:28

benlaug

asked Mar 19 at 23:23

benlaugbenlaug

1033

$endgroup$

add a comment | 

$begingroup$

Suppose that we have a multiset $M$ of real vectors of dimension 3 such as $M = {{(1,2,3),(1,5,6),(7,8,9)}}$. How can we define a multiset $M_n$ containing the $n$-th components of the vectors in M?

For instance, we would like to have:

$M_1 = {{1,1,7}}$,

$M_2 = {{2,5,8}}$,

$M_3 = {{3,6,9}}$.

I think something like $M_n = {v_1 in mathbb{R} | exists(v1,v2,v3)in M}$ would be sufficient for a set, but I am not sure that the predicate is sufficient for a multiset ($M_n = {{v_1 in mathbb{R} | exists(v1,v2,v3)in M}}$).

multisets

share|cite|improve this question

edited Mar 19 at 23:28

benlaug

asked Mar 19 at 23:23

benlaugbenlaug

1033

$endgroup$

share|cite|improve this question

edited Mar 19 at 23:28

benlaug

asked Mar 19 at 23:23

benlaugbenlaug

1033

share|cite|improve this question

edited Mar 19 at 23:28

benlaug

asked Mar 19 at 23:23

benlaugbenlaug

1033

asked Mar 19 at 23:23

benlaugbenlaug

1033

asked Mar 19 at 23:23

benlaugbenlaug

1033