How to identify a subset using a specific label
Clash Royale CLAN TAG#URR8PPP
up vote
0
down vote
favorite
Given a set 1,2,3,4,5, could we use a combination of some labels, for example the sum of elements in the subset or the average or anything else, to build a bijection between the subset and the combination of labels? I tried to use the sum of elements in subsets, the number of elements and the median number to build the bijection but failed. Because in 1,2,3,4,5 if we want to identify 1,3,5 using (9,3,3), it can be also referred to 2,3,4.
elementary-set-theory
add a comment |Â
up vote
0
down vote
favorite
Given a set 1,2,3,4,5, could we use a combination of some labels, for example the sum of elements in the subset or the average or anything else, to build a bijection between the subset and the combination of labels? I tried to use the sum of elements in subsets, the number of elements and the median number to build the bijection but failed. Because in 1,2,3,4,5 if we want to identify 1,3,5 using (9,3,3), it can be also referred to 2,3,4.
elementary-set-theory
1
What is the ultimate goal? With five labels you could give all information.
â Marc
Sep 4 at 8:02
Actually, I want to find the minimal combination, which means using the minimal number of labels to identify for all sizes of sets.
â Sooner
Sep 4 at 8:03
1
Does $sum_ninmathbb S 2^n$ suit your needs?
â celtschk
Sep 4 at 12:02
Here is the problem. Given $sum_ninmathbb S 2^n$, can you reconstruct the subset?
â Sooner
Sep 4 at 13:42
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Given a set 1,2,3,4,5, could we use a combination of some labels, for example the sum of elements in the subset or the average or anything else, to build a bijection between the subset and the combination of labels? I tried to use the sum of elements in subsets, the number of elements and the median number to build the bijection but failed. Because in 1,2,3,4,5 if we want to identify 1,3,5 using (9,3,3), it can be also referred to 2,3,4.
elementary-set-theory
Given a set 1,2,3,4,5, could we use a combination of some labels, for example the sum of elements in the subset or the average or anything else, to build a bijection between the subset and the combination of labels? I tried to use the sum of elements in subsets, the number of elements and the median number to build the bijection but failed. Because in 1,2,3,4,5 if we want to identify 1,3,5 using (9,3,3), it can be also referred to 2,3,4.
elementary-set-theory
elementary-set-theory
edited Sep 4 at 11:48
Andrés E. Caicedo
63.4k7154238
63.4k7154238
asked Sep 4 at 7:54
Sooner
196
196
1
What is the ultimate goal? With five labels you could give all information.
â Marc
Sep 4 at 8:02
Actually, I want to find the minimal combination, which means using the minimal number of labels to identify for all sizes of sets.
â Sooner
Sep 4 at 8:03
1
Does $sum_ninmathbb S 2^n$ suit your needs?
â celtschk
Sep 4 at 12:02
Here is the problem. Given $sum_ninmathbb S 2^n$, can you reconstruct the subset?
â Sooner
Sep 4 at 13:42
add a comment |Â
1
What is the ultimate goal? With five labels you could give all information.
â Marc
Sep 4 at 8:02
Actually, I want to find the minimal combination, which means using the minimal number of labels to identify for all sizes of sets.
â Sooner
Sep 4 at 8:03
1
Does $sum_ninmathbb S 2^n$ suit your needs?
â celtschk
Sep 4 at 12:02
Here is the problem. Given $sum_ninmathbb S 2^n$, can you reconstruct the subset?
â Sooner
Sep 4 at 13:42
1
1
What is the ultimate goal? With five labels you could give all information.
â Marc
Sep 4 at 8:02
What is the ultimate goal? With five labels you could give all information.
â Marc
Sep 4 at 8:02
Actually, I want to find the minimal combination, which means using the minimal number of labels to identify for all sizes of sets.
â Sooner
Sep 4 at 8:03
Actually, I want to find the minimal combination, which means using the minimal number of labels to identify for all sizes of sets.
â Sooner
Sep 4 at 8:03
1
1
Does $sum_ninmathbb S 2^n$ suit your needs?
â celtschk
Sep 4 at 12:02
Does $sum_ninmathbb S 2^n$ suit your needs?
â celtschk
Sep 4 at 12:02
Here is the problem. Given $sum_ninmathbb S 2^n$, can you reconstruct the subset?
â Sooner
Sep 4 at 13:42
Here is the problem. Given $sum_ninmathbb S 2^n$, can you reconstruct the subset?
â Sooner
Sep 4 at 13:42
add a comment |Â
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2904762%2fhow-to-identify-a-subset-using-a-specific-label%23new-answer', 'question_page');
);
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
1
What is the ultimate goal? With five labels you could give all information.
â Marc
Sep 4 at 8:02
Actually, I want to find the minimal combination, which means using the minimal number of labels to identify for all sizes of sets.
â Sooner
Sep 4 at 8:03
1
Does $sum_ninmathbb S 2^n$ suit your needs?
â celtschk
Sep 4 at 12:02
Here is the problem. Given $sum_ninmathbb S 2^n$, can you reconstruct the subset?
â Sooner
Sep 4 at 13:42