Most elegant way to express this?

[kirimbl]

Hi All,

I'm looking for the most elegant way of expressing a property of number 37, id est that the concatenation of the same digits for numbers 1-9 divided by their sum always equals 37

This is what I came up with:

xxx÷(x+x+x)

∀x∈ℕ⁺<10

• Can you think of a better way of writing it?
• I need to use only two lines - is symbol ÷ OK?
• Should I use {ℕ⁺} rather than ℕ⁺?
• I don't like the "<10". Is there a better expression to describe single digit positive numbers?

Thanks!

 

[Deleted member 4993]

Hi All,

I'm looking for the most elegant way of expressing a property of number 37, id est that the concatenation of the same digits for numbers 1-9 divided by their sum always equals 37

This is what I came up with:

xxx÷(x+x+x)

∀x∈ℕ⁺<10

• Can you think of a better way of writing it?
• I need to use only two lines - is symbol ÷ OK?
• Should I use {ℕ⁺} rather than ℕ⁺?
• I don't like the "<10". Is there a better expression to describe single digit positive numbers?

Thanks!

xxx → 100*x + 10*x + x → 111 * x → (3 * 37) * x

 

[kirimbl]

xxx → 100*x + 10*x + x → 111 * x → (3 * 37) * x

Thanks Subhotosh Khan, but I guess I was looking for something a little bit more succinct. :cool:

Any defined expression to describe single digit positive numbers?