How to define the subset with the two smallest elements
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 Nov 20 '18 at 22:36
oldmansaur
275
add a comment |
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 Nov 20 '18 at 22:36
oldmansaur
275
What is the context ? Programming or maths. Why do yo want a specific notation ?
– Yves Daoust
Nov 20 '18 at 22:43
2
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
Nov 20 '18 at 23:21
@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
Nov 20 '18 at 23:42
What is the context ? Programming or maths ?
– Yves Daoust
Nov 21 '18 at 9:10
Note that for this subset to be unambiguously defined, there must be at least two pairs, and the values must be distinct.
– Yves Daoust
Nov 21 '18 at 9:12
add a comment |
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 Nov 20 '18 at 22:36
oldmansaur
275
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 Nov 20 '18 at 22:36
oldmansaur
275
asked Nov 20 '18 at 22:36
oldmansaur
275
asked Nov 20 '18 at 22:36
oldmansaur
275
asked Nov 20 '18 at 22:36
oldmansaur
275
asked Nov 20 '18 at 22:36
oldmansaur
275
275
What is the context ? Programming or maths. Why do yo want a specific notation ?
– Yves Daoust
Nov 20 '18 at 22:43
2
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
Nov 20 '18 at 23:21
@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
Nov 20 '18 at 23:42
What is the context ? Programming or maths ?
– Yves Daoust
Nov 21 '18 at 9:10
Note that for this subset to be unambiguously defined, there must be at least two pairs, and the values must be distinct.
– Yves Daoust
Nov 21 '18 at 9:12
add a comment |
What is the context ? Programming or maths. Why do yo want a specific notation ?
– Yves Daoust
Nov 20 '18 at 22:43
2
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
Nov 20 '18 at 23:21
@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
Nov 20 '18 at 23:42
What is the context ? Programming or maths ?
– Yves Daoust
Nov 21 '18 at 9:10
Note that for this subset to be unambiguously defined, there must be at least two pairs, and the values must be distinct.
– Yves Daoust
Nov 21 '18 at 9:12
What is the context ? Programming or maths. Why do yo want a specific notation ?
– Yves Daoust
Nov 20 '18 at 22:43
What is the context ? Programming or maths. Why do yo want a specific notation ?
– Yves Daoust
Nov 20 '18 at 22:43
2
2
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
Nov 20 '18 at 23:21
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
Nov 20 '18 at 23:21
@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
Nov 20 '18 at 23:42
@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
Nov 20 '18 at 23:42
What is the context ? Programming or maths ?
– Yves Daoust
Nov 21 '18 at 9:10
What is the context ? Programming or maths ?
– Yves Daoust
Nov 21 '18 at 9:10
Note that for this subset to be unambiguously defined, there must be at least two pairs, and the values must be distinct.
– Yves Daoust
Nov 21 '18 at 9:12
Note that for this subset to be unambiguously defined, there must be at least two pairs, and the values must be distinct.
– Yves Daoust
Nov 21 '18 at 9:12
add a comment |
1 Answer
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$S in mathcal P(A) land |S| = 2 land (exists (a,b) in S implies (b = min{S[mathrm{Dom}, f]} lor b = min{(S[mathrm{Dom} , f] / min{S[mathrm{Dom} ,f]})})$.
Whew. I wonder why you need this, tho.
Note that this set must exist by the axiom of specification.
answered Nov 21 '18 at 1:35
Lucas Henrique
995314
add a comment |
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1 Answer
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1 Answer
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active
oldest
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$S in mathcal P(A) land |S| = 2 land (exists (a,b) in S implies (b = min{S[mathrm{Dom}, f]} lor b = min{(S[mathrm{Dom} , f] / min{S[mathrm{Dom} ,f]})})$.
Whew. I wonder why you need this, tho.
Note that this set must exist by the axiom of specification.
answered Nov 21 '18 at 1:35
Lucas Henrique
995314
add a comment |
$S in mathcal P(A) land |S| = 2 land (exists (a,b) in S implies (b = min{S[mathrm{Dom}, f]} lor b = min{(S[mathrm{Dom} , f] / min{S[mathrm{Dom} ,f]})})$.
Whew. I wonder why you need this, tho.
Note that this set must exist by the axiom of specification.
answered Nov 21 '18 at 1:35
Lucas Henrique
995314
add a comment |
$S in mathcal P(A) land |S| = 2 land (exists (a,b) in S implies (b = min{S[mathrm{Dom}, f]} lor b = min{(S[mathrm{Dom} , f] / min{S[mathrm{Dom} ,f]})})$.
Whew. I wonder why you need this, tho.
Note that this set must exist by the axiom of specification.
answered Nov 21 '18 at 1:35
Lucas Henrique
995314
$S in mathcal P(A) land |S| = 2 land (exists (a,b) in S implies (b = min{S[mathrm{Dom}, f]} lor b = min{(S[mathrm{Dom} , f] / min{S[mathrm{Dom} ,f]})})$.
Whew. I wonder why you need this, tho.
Note that this set must exist by the axiom of specification.
answered Nov 21 '18 at 1:35
Lucas Henrique
995314
answered Nov 21 '18 at 1:35
Lucas Henrique
995314
answered Nov 21 '18 at 1:35
Lucas Henrique
995314
answered Nov 21 '18 at 1:35
Lucas Henrique
995314
995314
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
Nov 20 '18 at 22:43
2
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
Nov 20 '18 at 23:21
@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
Nov 20 '18 at 23:42
What is the context ? Programming or maths ?
– Yves Daoust
Nov 21 '18 at 9:10
Note that for this subset to be unambiguously defined, there must be at least two pairs, and the values must be distinct.
– Yves Daoust
Nov 21 '18 at 9:12