/sci/ - Science & Math

>>8653412

1 (in a number system base sqrt(2))

>>8653425

Woops, 2***

I derped. :^)

>>8653426

0b10 base sqrt(2)

>>8653425
I'm sorry that answer includes sqrt2 simply being written out. Again, I'm after the number sqrt2 in case you didn't read my post. Thank you.

>>8653412
sqrt2

all symbols are code
all numbers are code

>>8653430

You said, 'no ... and just saying sqrt 2.'

I didn't JUST say sqrt 2. Git gud.

How about this: introduce a numerical system which encompasses standard mathematical operators (UTF-8, perhaps?). Then the answer would be

[math]\prod_{k=0}^{\infty}(1+\frac{1}{4k+1})(1-\frac{1}{4k+3})[/math]

I would, of course, restrict this system to only support positive numbers from 0 and 100 as limits to operators such as sum product. I would represent positive infinity as -1. Voila! :)

>>8653412

>>8653437
Hello. Yes, sqrt2 is code for the number that when multiplied by itself equals 2, I'd like to see that number, however you have not provided me with it. Please read my thread again. Thank you.

>>8653444

>>8653440
Greetings, unfortunately your answer is not a number, please write it down if I'm wrong. It should be quite easy. Thank you for trying though.

>>8653412
4/1×4/1

4 are the sides of a square
1x1 side = 2 sides of a square = 4/2
4/2 + 4/2 = 1 square

>>8653466

You are wrong.

It is a number. Take the representation in binary and then convert it to decimal. In my number system, this number represents the square root of 2.

1.414999...

1.41...

>>8653475
If a square is 2 by 2
The square root is 4 squares of 1x1

The number is 1.41...

>>8653412
obviously you cannot write down the whole of [math] \sqrt 2 [/math], its irrational and goes on to infinity.

you're assuming existence is defined by it being able to be written down fully. a fallacy. it is a number, it is made up like all numbers, that doesn't mean it doesn't exist, fuck you and your bait thread brainlet.

>>8653483
1 square2×2= 4×(1×1square)
1 (square is formed by 4)=1 (square)(with 5 squares used)

Introduce the 'REKT' number system.

Numbers in this system are represented as follows: abc. a is a one-digit decimal number; b and c are two decimal numbers of equal length. a is interpreted as a 'feature': 0 means 'edge' and 1 means 'diagonal'. b represents the width of a two-dimensional rectangle on the x axis; c represents the height of the same rectangle on the y-axis. For a REKT number 0bc, the number's decimal equivalent is equal to the integer average of b and c. For a REKT number 1bc, the decimal equivalent is equal to the length of the diagonal of the rectangle described by b and c.

In this system, you can actually represent the decimal sqrt(2) in many ways:

111 (hypotenuse of rectangle, width 1, height 1)
10101 (hypotenuse of rectangle, width 1, height 1)
1001001 (hypotenuse of rectangle, width 1, height 1)

Here you have (been) REKT. This is how you can represent sqrt(2).

>>8653466
>>8653451
>>8653430
>>8653412
fuck yoyu ass hole

if sqrt2=a then a+1=sqrt2+1 then if b=sqrt2+a then b=2a and sqrt(b/a)=sqrt2.

Then sqrt(b/a)=a and b=a^3

So sqrt2+1=(sqrt2)^3= 2sqrt2

sqrt2 - 2sqrt2 +1=0

-sqrt2 + 1= 0

sqrt2=1

Prove me wrong protip you cant

>>8653475
Ok so write it down, go on.

>>8653480
That is 2.00222217

>>8653483
>>8653487
That is 1.9881

Not quite there yet, maybe one of you will get it. Keep trying.

>>8653503
Sure I'll write it in my next post but you might have to wait a while, don't go anywhere I promise I'll have it written down in its entirety soon. Be patient.

>>8653503
how would you write down 1 then? you have to write 1.00000000000000... and that's not fully accurate yet. 1 is the shortcut for 1.000000000.... just like [math] \sqrt 2 [/math] is the shortcut for 1.41421356...

now get the fuck off this thread troll

Diagonal square

>>8653461
DELET THIS

a+b=c for a,b,c complex
a+c+b=c+c
(a+b+c)/c=2
if 1+2=3 for instance
(1+2+3)/3=2
This proves sqrt2=1.460021 exactly

>>8653516
Like this?

http://www.wolframalpha.com/input/?i=Tanx%2B1%5E(0.cosy-1)%C3%B70.1cosy%5E(-0.cosx%2B1)%C3%97%E2%88%921.cosy%C3%97(0.cosx%2B1%C3%B7(0.1cosy%5E(0.cos-1x)%C3%B7tany-1

sqrt2=1.4142135623730950488016887242096980785696718753769480731766797379907324784621
07038850387534327641572735013846230912297024924836055850737212644121497099935831
41322266592750559275579995050115278206057147010955997160597027453459686201472851
74186408891986095523292304843087143214508397626036279952514079896872533965463318
08829640620615258352395054745750287759961729835575220337531857011354374603408498
84716038689997069900481503054402779031645424782306849293691862158057846311159666
87130130156185689872372352885092648612494977154218334204285686060146824720771435
85487415565706967765372022648544701585880162075847492265722600208558446652145839
88939443709265918003113882464681570826301005948587040031864803421948972782906410
45072636881313739855256117322040245091227700226941127573627280495738108967504018
36986836845072579936472906076299694138047565482372899718032680247442062926912485
90521810044598421505911202494413417+sqrt2 -1.4142135623730950488016887242096980785696718753769480731766797379907324784621
07038850387534327641572735013846230912297024924836055850737212644121497099935831
41322266592750559275579995050115278206057147010955997160597027453459686201472851
74186408891986095523292304843087143214508397626036279952514079896872533965463318
08829640620615258352395054745750287759961729835575220337531857011354374603408498
84716038689997069900481503054402779031645424782306849293691862158057846311159666
87130130156185689872372352885092648612494977154218334204285686060146824720771435
85487415565706967765372022648544701585880162075847492265722600208558446652145839
88939443709265918003113882464681570826301005948587040031864803421948972782906410
45072636881313739855256117322040245091227700226941127573627280495738108967504018
36986836845072579936472906076299694138047565482372899718032680247442062926912485
90521810044598421505911202494413417

sqrt2 is exactly without a doubt 1.09

Define square for me please

>>8653533

>>8653412

A partition of the rationals where the squares of one is less than 2 and the squares of the other greater

>>8653537

Than this is also a square.

>>8653412
Nowhere in physically reality is there such as thing as "2 units" of anything in length. Everything gets fuzzy down at the quantum level.
So if nothing exists that is 2 feet long, except perhaps for a moment in time, there is no reason sqrt2 should exist.
I think most of you should revisit the years you were taught what you ought to believe: and you've never been enough of a scientist to question.

>>8653412

|1+i|

>>8653619
oh shit

nice one

>>8653412
(2)^(1/2)
I didn't just say sqrt2 and when you multiply this number by itself it gives you two. Are we done here OP?

>>8653611
Object + shadow is 2?

>>8653522

285314781058036033710773091828693147101711116
83916581726889419758716582152128229518488472089694633862891562882765952635140542
26765323969461751129160240871551013515045538128756005263146801712740265396947024
03005174953188629256313851881634780015693691768818523786840522878376293892143006
55869568685964595155501644724509836896036887323114389415576651040883914292338113
20605243362948531704991577175622854974143899918802176243096520656421182731672625
75395947172559346372386322614827426222086711558395999265211762526989175409881593
48640083457085181472231814204070426509056532333398436457865796796519267292399875
36661721598257886026336361782749599421940377775368142621773879919455139723127406
68983299898953867288228563786977496625199665835257761989393228453447356947949629
52168891485492538904755828834526096524096542889394538646625744927556381964410316
97983306185201937938494005715633372054806854057586799967012137223947582142630658
51322174088323829472876173936474678374319600015921888073478576172522118674904249
77366929207311096369721608933708661156734585334833295254675851644710757848602463
60083444911481858765555428645512331421992631133251797060843655970435285641008791
85007603610091594656706768836055717400767569050961367194013249356052401859991050
62108163597726431380605467010293569971042425105781749531057255934984451126922780
34491350663756874776028316282960553242242695753452902883876844642917328277088831
80870253398523381227499908123718925407264753678503048215918018861671089728692292
01197599880703818543332536460211082299279293072871780799888099176741774108983060
80032631181642798823117154363869661702999934161614878686018045505553986913115186
01038637532500455818604480407502411951843056745336836136745973744239885532851793
08960373898915173195874134428817842125021916951875593444387396189314549999906107
58704909026088351763622474975785885836803745793115733980209998662218694992259591
3276423619410592100328026149874566599688874067956167391859572888642473463585886

So, if 1 exists would anyone of you guys care to write down the number? No cheating and just saying 1 obviously, I would like the exact number that when multiplied by itself equals 1. Thank you.

>>8653412
>So, if 1 exists would anyone of you guys care to write down the number? No cheating and just saying 1 obviously, I would like the exact number that when multiplied by itself equals 1. Thank you.

{O, {O}}

>>8653713
1

If 10^200 is the biggest natural number then please write down 10^200-1, it's existing, legal natural number, so you should be able to write it down without cheating

>number exists iff it can be easily represented in arbitrarily chosen notation

>>8653412
So, if googol exists would anyone of you guys care to write down the number? No cheating and just saying 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 obviously, I would like the exact number of tally marks that equals googol. Thank you.

>>8653735
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

Assume number sqrt 2 exists. Then it is the length of a diagonal of the unit square, that implies that the number representing the length of square's side exist and can be written down, but the number representing that length has infinitely many nines in its decimal representation, therefore it can't be written down, a contradiction

>>8653412
>I would like the exact number that when multiplied by itself equals 2

here:

[math] \sqrt{2} [/math]

alternatively:

[math]2^{\frac{1}{2}}[/math]

>>8653748

OP status: BTFO

>>8653611
But if the two doesn't exist in the real world just as sqrt 2 doesn't then why say only the latter can't or shouldn't exist in maths? There are no exact values in real world, so """"""""natural"""""""" numbers are as made up as irrationals and don't exist in nature either.

>>8653451
That number is the square root of 2.

>>8653412
Wildberger please go.

Define a new imaginary number [math]i[/math] such that [math]i^2 = 2[/math]. QED

>>8653776
[math]sqrt(-2) * sqrt(-2)[/math]
[math]i * sqrt(2) * i * sqrt(2)[/math]
[math]sqrt(2) * sqrt(2)[/math]

What is the point of doing this in real space?

lim f(x):=x as x goes to infinity = 83.4
therefore sqrt2=0.13 exactly

Did you guys know it is impossible to find the exact area of a circle?