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/sci/ - Science & Math

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1817331 No.1817331 [Reply] [Original]

Will any integer times π ever equal another integer?

>> No.1817336

no

>> No.1817334

>>1817331
no

>> No.1817339

No.

>> No.1817345

Yes.
π*0=0

>> No.1817349

>>1817345
depends if you look at 0 as an integer, I don't

>> No.1817352

>>1817349
lol?

>> No.1817354

>>1817345
> implying trivial cases aren't routinely ignored

>> No.1817357

>>1817349
it also depends on whether pi is an integer

>> No.1817359

>>1817352
what lol? not all mathematicians see 0 as an integer

>> No.1817358 [DELETED] 

>>1817349
>implying it's subjective

>> No.1817365

>>1817345
>implying 0 is an integer

>> No.1817366

>>1817331

Pic made me lol, the bible doesnt know any digits of Pi except 3

>> No.1817367

>>1817359
ah my bad, not native english speaker, i thought we were talking about natural numbers, sorry!

>> No.1817372

>>1817359
No. Not all mathematicians see 0 as a NATURAL number. But saying that 0 is not an integer makes no fucking sense. I know what I'm talking about.

>> No.1817374
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1817374

>>1817349
>depends if you look at 0 as an integer, I don't

>> No.1817375

>The integers are formed by the natural numbers including 0 (0, 1, 2, 3, ...) together with the negatives of the non-zero natural numbers (−1, −2, −3, ...).
Irrational*Rational = Irrational.

>> No.1817376

>>1817372
>>1817367
I apologized already

>> No.1817397
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1817397

>>1817375
But 0 is a rational number.

>> No.1817399
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1817399

>>1817376
>I apologized already
>4chan
>I apologized

>> No.1817433

So I guess we've established that 0/0 = pi.

>> No.1817441

>>1817433
Sometimes.

>> No.1817443

>>1817331
It ALWAYS does if you're working in base pi.

>> No.1817444

ITT: Scrubs who never took a real course in Analysis.

>> No.1817448
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1817448

>>1817443
>implying changing base changes which numbers are integers

>> No.1817450
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1817450

>>1817443
>Properties of numbers are dependent on the base that is used to represent them.

>> No.1817470

>>1817450
>>1817448
>implying there aren't a thousand branches of math based on completely changing fundamental underpinnings of "normal" math.

It just means we're working in a particular kind of non-euclidian space. Hurf durf.

>> No.1817607

>>1817470
>non-euclidian space allows you to redefine numbers
7/10, subtle.

>> No.1817621

10^infinity*pi=an integer

>> No.1817636

>>1817375
is there a proof of this Irrational*Rational = Irrational.

>> No.1817646

>>1817636
rationals are closed under addition, subtraction, multiplication, and non-zero division.

>> No.1817657

>>1817636
If r is a rational number it can be written as p/q where p and q are integers.
Let J be an irrational number, then Jr = Jp/q. Since J isn't an integer (all integers are rationals, I think I don't need to prove this), Jp isn't an integer either, unless p = 0. Thus the number Jp/q = Jr isn't rational, provided r != 0.

>> No.1817660

>>1817646
doesnt this only prove :
rational+rational=rational
rational-rational=rational
rational*rational=rational
rational/rational=rational

>> No.1817664

>>1817646
Proof by contradiction:
Let J be irrational and a and be rational, with a different from 0. Assume that Ja = b. Then J = b/a. But b/a is rational and J was assumed to be irrational.

>> No.1817665

none.
Also, your image isn't necessarily true. Science fan and Scientist aren't mutually exclusive

>> No.1817678

>>1817664
nice and easy