/sci/ - Science & Math

[Anonymous No.8656040]

Explain, please.

[Anonymous No.8656041]

1 = 0.999...

[Anonymous No.8656122]

>>8656040
ieee754

[Anonymous No.8656136]

>>8656040
People still think that strong AI will ever exist.

[Anonymous No.8656139]

>>8656041
Not correct.
0.999... + 0.000...1 = 1

[Anonymous No.8656161]

>>8656139
not sure if bait

>1/3 = 0.3333....
>3/3 = 0.9999.... = 1

[Anonymous No.8656168]

>>8656161
Not correct.

3/3 = 1 = 3/3 = 1
0.333... = 0.333... = 0.333... = 0.111... + 0.111... + 0.111...
0.999... = 0.333... + 0.333... + 0.333...
0.999 + 0.001 = 1

Also for any practical purposes
1 =/= 1.0
1.0 =/= 1.00
1.00 =/= 1.00...
1.00... = 1.00...

[Anonymous No.8656172]

>>8656139
>>8656161
Also, 0.0000....01 cannot exist since you can always add another 0, it is part of an uncountably infinite set of real numbers between 0 and 1. Even if you assigned a zero for every natural number before the 1, you still wouldn't have enough 0s.

[Anonymous No.8656174]

>>8656168
>0.00... - 0.0 = ._0...

[Anonymous No.8656177]

>>8656168
Are you baiting? Surely you can see how retarded your reasoning is?

[Anonymous No.8656186]

>>8656172
Not correct.

0.000...1 has infinite number of zeroes ending in number one.

You can also write things like
>0,000...1...1...1...1.
But you have to specify what expression "..." is repeating infinitely. The number I listed means "0,000-infinite number of zeros-number one-infinite number of zeros and so on, ending with one.

Apply yourself next time.

>>8656177
Shut up faggot. Everything is correct. I won't answer to you again.

>>8656174
Not correct.

0.000... - 0.0 is 0.0 (in practical use, in mathematics its just 0).

[Anonymous No.8656192]

>>8656186
>0.000... - 0.0 is 0.0 (in practical use, in mathematics its just 0).

Then what is 1.0 - 1.0...? You've already said they're not equal, so the result can't be 0.0

[Anonymous No.8656195]

>>8656186
>here we see a finiteist being a retard in his natural habitat

In an infinite row of zeroes where do you end it and put the one? If you can end it, there is an uncountably infinite number of zeroes before the 1, and so it is equal to 1/infinity and hence equals 0.

3/3 = 0.999... + 0.000....01 = 1 + 0 = 1

[Anonymous No.8656209]

>>8656186
The catch is that it can't 'end'

[Anonymous No.8656225]

>>8656192
Because in mathematics
0 = 0.0 = 0.00 = 0.000 = 0.000...
1 = 1.0 = 1.00 = 1.000 = 1.000...

But in engineering
1.0 means 1.0 +- 0.1 if you don't specify any uncertainty.
1.00 means 1.00 +- 0.01.

But yeah in mathematics
1 = 1.0 = 1.00 = 1.000 = 1.000...

>>8656195
Do you have problem with understanding language?

I have a string of numbers that is: infinite row of zeros, then a one, then infinite row of zeros, and then one.

The expression is valid. Maybe it doesn't have any practical function, but that doesn't limit our imagination. It is very easy for me to imagine that object. "Infinite zeroes, a one, infinite zeroes, a one." Easy. I see it right now in my head.

For example.
There are infinite number of prime numbers.
There are infinite number of natural numbers.
Still we can say there are less primes than natural numbers. Still we can imagine those primes being somewhere in those infinite sequences, appearing less and less often.

Mathematics regarding infinity is pretty easy. Assuming you are not a brainlet.

>>8656209
You don't have to make any more new definitions. There is already a definition for 'infinity' and yours is poor, not understood, not unanimous, and shit. The definition is:

A number greater than any assignable quantity or countable number

Please don't give me your analysis on that. The definition is fine. Yours is shit.

[Anonymous No.8656294]

>>8656225
Why is this 2 showing up?

[Anonymous No.8656302]

>>8656294
I don't know what those symbols mean

Why is part of the numbers in curls ( )?

And what is the long line that has numbers over and under it?

Arithmetic is so boring. Just writing some numbers and then writing some arbitrary symbols that you just have to remember. Counting is so dumb activity.

[Anonymous No.8656367]

>>8656225
The number of primes, odd numbers, numbers ending in 62, all natural numbers is the same, countable infinity. Tbe number of reals is literally bigger, and can be proved by diagonalisation.

Get off your high horse and look into it instead of bitching.

[Anonymous No.8656452]

>>8656186
>>Infinite number of 0s
>>Ending with 1
>>Ending
What is infinity?

[Anonymous No.8656457]

Noob here... is this just some kind of float error?

[Anonymous No.8656475]

>>8656457

I doubt that it calculates it the same way a singular computer would calculate it.

It probably calculates it in a distributed fashion, which would suggest that Google has some sort of proprietary rounding convention for efficiency, convenience, readability, etc.

https://www.quora.com/Why-does-the-Google-calculator-have-precision-only-up-to-15-decimal-places

[Anonymous No.8656489]

>>8656367
Wrong.

>>8656452
Wrong.

>>8656457
Correct. It's a computer error. Computers don't need to know math as well as humans.

[Anonymous No.8656492]

>>8656040
>Explain, please.

JavaScript uses 16-bit float for arithmetic and thus is a bit shit at precision.

Google Calculator does a bit of cleaning up of the result, but can't hide the fact that the language was only ever meant to handle positing things on the screen.

[Anonymous No.8656505]

>>8656492

Ew... You are right... It does happen on the client side.

I guess that makes sense, but I don't know how I feel about a JavaScript calculator.

[Anonymous No.8656526]

>>8656489
>You are wrong but I won't say why!

[Anonymous No.8656616]

>>8656139
this t.b.h. senpai.

[Anonymous No.8656618]

>>8656139
>0.000...1
L0Lno

[Anonymous No.8656627]

>>8656186
>infinite number of zeroes ending
L0Lno fgt pls
Lrn2infinite
Protip: it means "unending"

[Anonymous No.8656628]

>>8656139
>0.000...1
this gave me cancer

[Anonymous No.8656694]

>>8656618
>>8656627
>>8656628
Wrong all 3.

I'm correct, just read my posts to learn the mathematical truth. Ignore shitposters.

[Anonymous No.8656700]

>>8656694
>infinitesimals
>existing in any meaningful fashion

[Anonymous No.8656730]

I know you can do a lot of fancy math tricks to prove that .999... = 1

but just sit back for a sec and use common sense, if you let the nines go on and on forever and ever, you know for a fact that it will never ever reach 1

[Anonymous No.8656789]

>>8656040
Computer work really fast, but they spit out nonsense answers. They are IMPERFECT answers.
Since there is no absolute measureable distance in Reality, it is illogical to work with "implied" perfect answers.