How to define the subset with the two smallest elements
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0
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I am having a bit of trouble with basic notation.
I have a set of color value pairs e.g. CV = {(blue, 3), (orange,54), (red, 1), (brown, 43), (yellow,7)} and I want to define the subset that contains the lowest two values. In our case that would be Subset = {(blue, 3), (red, 1)}.
Thanks in advance.
notation
asked yesterday
oldmansaur
274
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up vote
0
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favorite
I am having a bit of trouble with basic notation.
I have a set of color value pairs e.g. CV = {(blue, 3), (orange,54), (red, 1), (brown, 43), (yellow,7)} and I want to define the subset that contains the lowest two values. In our case that would be Subset = {(blue, 3), (red, 1)}.
Thanks in advance.
notation
asked yesterday
oldmansaur
274
What is the context ? Programming or maths. Why do yo want a specific notation ?
– Yves Daoust
yesterday
1
Why do you insist on having notation for this? Words convey the meaning in a rather clear, concise, and relatively unambiguous way. If you try to use notation for it instead, you run the risk of it being more confusing and difficult to read.
– JMoravitz
yesterday
@YvesDaoust math.I have run into the problem that it is often not exactly clear to others what I mean. So I was wondering if there is a clean notation for this one.
– oldmansaur
yesterday
What is the context ? Programming or maths ?
– Yves Daoust
17 hours ago
Note that for this subset to be unambiguously defined, there must be at least two pairs, and the values must be distinct.
– Yves Daoust
17 hours ago
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I am having a bit of trouble with basic notation.
I have a set of color value pairs e.g. CV = {(blue, 3), (orange,54), (red, 1), (brown, 43), (yellow,7)} and I want to define the subset that contains the lowest two values. In our case that would be Subset = {(blue, 3), (red, 1)}.
Thanks in advance.
notation
asked yesterday
oldmansaur
274
I am having a bit of trouble with basic notation.
I have a set of color value pairs e.g. CV = {(blue, 3), (orange,54), (red, 1), (brown, 43), (yellow,7)} and I want to define the subset that contains the lowest two values. In our case that would be Subset = {(blue, 3), (red, 1)}.
Thanks in advance.
notation
notation
asked yesterday
oldmansaur
274
asked yesterday
oldmansaur
274
asked yesterday
oldmansaur
274
asked yesterday
oldmansaur
274
asked yesterday
oldmansaur
274
274
What is the context ? Programming or maths. Why do yo want a specific notation ?
– Yves Daoust
yesterday
1
Why do you insist on having notation for this? Words convey the meaning in a rather clear, concise, and relatively unambiguous way. If you try to use notation for it instead, you run the risk of it being more confusing and difficult to read.
– JMoravitz
yesterday
@YvesDaoust math.I have run into the problem that it is often not exactly clear to others what I mean. So I was wondering if there is a clean notation for this one.
– oldmansaur
yesterday
What is the context ? Programming or maths ?
– Yves Daoust
17 hours ago
Note that for this subset to be unambiguously defined, there must be at least two pairs, and the values must be distinct.
– Yves Daoust
17 hours ago
add a comment |
What is the context ? Programming or maths. Why do yo want a specific notation ?
– Yves Daoust
yesterday
1
Why do you insist on having notation for this? Words convey the meaning in a rather clear, concise, and relatively unambiguous way. If you try to use notation for it instead, you run the risk of it being more confusing and difficult to read.
– JMoravitz
yesterday
@YvesDaoust math.I have run into the problem that it is often not exactly clear to others what I mean. So I was wondering if there is a clean notation for this one.
– oldmansaur
yesterday
What is the context ? Programming or maths ?
– Yves Daoust
17 hours ago
Note that for this subset to be unambiguously defined, there must be at least two pairs, and the values must be distinct.
– Yves Daoust
17 hours ago
What is the context ? Programming or maths. Why do yo want a specific notation ?
– Yves Daoust
yesterday
What is the context ? Programming or maths. Why do yo want a specific notation ?
– Yves Daoust
yesterday
1
1
Why do you insist on having notation for this? Words convey the meaning in a rather clear, concise, and relatively unambiguous way. If you try to use notation for it instead, you run the risk of it being more confusing and difficult to read.
– JMoravitz
yesterday
Why do you insist on having notation for this? Words convey the meaning in a rather clear, concise, and relatively unambiguous way. If you try to use notation for it instead, you run the risk of it being more confusing and difficult to read.
– JMoravitz
yesterday
@YvesDaoust math.I have run into the problem that it is often not exactly clear to others what I mean. So I was wondering if there is a clean notation for this one.
– oldmansaur
yesterday
@YvesDaoust math.I have run into the problem that it is often not exactly clear to others what I mean. So I was wondering if there is a clean notation for this one.
– oldmansaur
yesterday
What is the context ? Programming or maths ?
– Yves Daoust
17 hours ago
What is the context ? Programming or maths ?
– Yves Daoust
17 hours ago
Note that for this subset to be unambiguously defined, there must be at least two pairs, and the values must be distinct.
– Yves Daoust
17 hours ago
Note that for this subset to be unambiguously defined, there must be at least two pairs, and the values must be distinct.
– Yves Daoust
17 hours ago
add a comment |
1 Answer
1
active
oldest
votes
up vote
0
down vote
$S in mathcal P(A) land |S| = 2 land (exists (a,b) in S implies (b = min{S[mathrm{Dom}, f]} lor b = min{(S[mathrm{Dom} , f] / min{S[mathrm{Dom} ,f]})})$.
Whew. I wonder why you need this, tho.
Note that this set must exist by the axiom of specification.
answered yesterday
Lucas Henrique
362111
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
$S in mathcal P(A) land |S| = 2 land (exists (a,b) in S implies (b = min{S[mathrm{Dom}, f]} lor b = min{(S[mathrm{Dom} , f] / min{S[mathrm{Dom} ,f]})})$.
Whew. I wonder why you need this, tho.
Note that this set must exist by the axiom of specification.
answered yesterday
Lucas Henrique
362111
add a comment |
up vote
0
down vote
$S in mathcal P(A) land |S| = 2 land (exists (a,b) in S implies (b = min{S[mathrm{Dom}, f]} lor b = min{(S[mathrm{Dom} , f] / min{S[mathrm{Dom} ,f]})})$.
Whew. I wonder why you need this, tho.
Note that this set must exist by the axiom of specification.
answered yesterday
Lucas Henrique
362111
add a comment |
up vote
0
down vote
up vote
0
down vote
$S in mathcal P(A) land |S| = 2 land (exists (a,b) in S implies (b = min{S[mathrm{Dom}, f]} lor b = min{(S[mathrm{Dom} , f] / min{S[mathrm{Dom} ,f]})})$.
Whew. I wonder why you need this, tho.
Note that this set must exist by the axiom of specification.
answered yesterday
Lucas Henrique
362111
$S in mathcal P(A) land |S| = 2 land (exists (a,b) in S implies (b = min{S[mathrm{Dom}, f]} lor b = min{(S[mathrm{Dom} , f] / min{S[mathrm{Dom} ,f]})})$.
Whew. I wonder why you need this, tho.
Note that this set must exist by the axiom of specification.
answered yesterday
Lucas Henrique
362111
answered yesterday
Lucas Henrique
362111
answered yesterday
Lucas Henrique
362111
answered yesterday
Lucas Henrique
362111
362111
add a comment |
add a comment |
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What is the context ? Programming or maths. Why do yo want a specific notation ?
– Yves Daoust
yesterday
1
Why do you insist on having notation for this? Words convey the meaning in a rather clear, concise, and relatively unambiguous way. If you try to use notation for it instead, you run the risk of it being more confusing and difficult to read.
– JMoravitz
yesterday
@YvesDaoust math.I have run into the problem that it is often not exactly clear to others what I mean. So I was wondering if there is a clean notation for this one.
– oldmansaur
yesterday
What is the context ? Programming or maths ?
– Yves Daoust
17 hours ago
Note that for this subset to be unambiguously defined, there must be at least two pairs, and the values must be distinct.
– Yves Daoust
17 hours ago