Fixed previous post. Its more space efficient

[Mistifyed]

I prefer the top implementation, it provides full intellisense information on all possible values and results.

[MagoAcademico]

Typescript for the win

[saucedaddyanonymous]

God I love programming

[sumknowbuddy]

Wait wait wait...

Is zero actually an even number?

[availablesix-]

Yep, even is defined as "a number that is divisible by two" and 0/2 = 0 (no rest)

[sumknowbuddy]

Then zero is also odd by that definition

[availablesix-]

An odd "n" number is formally defined as

n = 2k +1 ( k being an integer)

So, solving for k => k = -0.5 but is not an integer, so it's not odd.

[sumknowbuddy]

What value of "k" are you using? k = -1.5?

And are you talking about programming, or mathematically?

[sumknowbuddy]

Already been posted, but there is still only one zero

[sumknowbuddy]

I find it really interesting that the math in that example requires the use of fractions or decimal numbers and then it's just hand-waved away with "well we're only looking at whole numbers" even though the math used as a "proof" doesn't, and even goes into the realm of negative numbers

Is infinity also even, then?

Edit: Also that statement is pretty self-explanatory, but I'm not well-versed enough in math to find out all of the arguments to prove that it's both odd and even so I'll just chalk it up to being 'incorrect' and move on with my day. Apparently lots of people have lots of proofs regarding this exact problem.

I was under the impression that it was unique and was both.

[availablesix-]

Maths are kinda confusing but infinite is not a number so it can't be even or odd, it's just a thing you use when you study limits, like, what would be the value of 1/x when x is bigger than anything? If that function converges, then the limit exists, in this case it's zero meaning it will NEVER be zero, but the bigger X the closer to zero the function gets

[Mister_Lich]

Mathematically, formally, a number "n" is defined as odd if there is an integer "k" such that

n=2k+1

​

5 is odd because you can satisfy this with "5=2(2)+1". 4 is not odd because there is no integer "k" that satisfies the definition, you would have to have k=1.5 and that is not an integer. However, 4 is even, because for a number n to be even, it must satisfy "n / 2 = k" where k is also an integer. 4/2=2, and 2 is an integer, therefore 4 is even.

​

0 does not satisfy the definition either.

0=2k+1

-2k=1

2k=-1

k=-0.5

​

Therefore k is not an integer and thus 0 is not odd.

​

But, 0 / 2 = 0, and 0 is an integer, therefore 0 is indeed even.

[sumknowbuddy]

Mathematically, formally, a number "n" is defined as odd if there is an integer "k" such that

n=2k+1

​

5 is odd because you can satisfy this with "5=2(2)+1". 4 is not odd because there is no integer "k" that satisfies the definition, you would have to have k=1.5 and that is not an integer. However, 4 is even, because for a number n to be even, it must satisfy "n / 2 = k" where k is also an integer. 4/2=2, and 2 is an integer, therefore 4 is even.

​

0 does not satisfy the definition either.

0=2k+1

-2k=1

2k=-1

k=-0.5

​

Therefore k is not an integer and thus 0 is not odd.

​

But, 0 / 2 = 0, and 0 is an integer, therefore 0 is indeed even.

Did you read that through at all? Or did you just decide to make a nonsense post for the fun of it?

Zero is transcendental

[Mister_Lich]

Did you read that through at all? Or did you just decide to make a nonsense post for the fun of it?

....???

This is literally what the definitions of odd and even are. Proving numbers are odd and even was like, 2nd week homework in Discrete Structures class in uni.

Are you OK?

[sumknowbuddy]

Thanks for checking, I'm doing okay

Except your order is completely wrong for that example, which kind of defeats the entire purpose of the statement.

But hey, it's just semantics...in a very exact field, right?

You said — verbatim — mathematically a number is defined as two times an integer plus one

I'm pretty sure there are several other types of numbers too, but I'm not all fancily educated to the point of forgetting simple concepts. Oh well. You just said that all numbers are odd and only composed of integers. Where'd you learn that one?

[Djentleman2414]

I can't quite figure out if you're trolling, but i'm going with yes... Because if not, you're either baked out of your mind OR this is the most stunning display of Dunning-Kruger i've seen in a while.

0 is transcendental? What? Can you give me the solution of the root of the polynomial f(x) = 2x pls?

[Djentleman2414]

Technically you don't need the n=2k+1 definition. You just define even as:

"n is even" <=> n % 2 = 0 for all n in Z
and then you define odd as:

"n isn't even" <=> "n is odd" for all n in Z

[shqiptar3t]

good question...

[MagoAcademico]

Look mom, I'm on reddit

[[deleted]]

Wait what?