I was bored and typed sqrt(546) into wolfram and made it show

>>8638570
Why not? Suppose that every digit appears randomly. Then caluclate the probability of appearing dubs, trips, hell even some quads.

Its probable that the program works on some sort of a sequence to generate randome numbers. And after the sequence is done it kinda starts repeating itself

>>8638590
>Suppose that every digit appears randomly

Not all irrational number are normal

>>8638634
He didn't say it was a matter of fact, he said "suppose" as working hypothesis

>>8638627
something tells me this guy isnt joking

>>8638570
literally autism.

i'm so sorry.

>>8638570

fuck off stealthposting ponyfag
https://www.youtube.com/watch?v=SqhSaxKS9OQ

>>8638745
And how were you able to tell?

>>8638590
I think, assuming the number is normal, you should expect one quad in 1000 digits. Quads seem to appear much more often than that in the image.

>>8638781
https://www.google.com/search?q=sqrt%28546%29&ie=utf-8&oe=utf-8

>>8638799
Why would you even think to search it though, if you didn't already know it was related to ponies?

>>8638811

idk i just fucking searched it dude

>>8638782
Just tested it with the first 99960 digits of sqrt(546)
10026 dubs
1010 trips
97 quads

which are all in good agreement with the theoretical expectation (9996, 1000, 100).

>>8638858
>1000, 100
999.6, 99.96 surely?

>>8638570
>hell even some quads

Given any sequence of 4 digits, the odds that the 2nd, 3rd, and 4th are the same as the 1st is 1/10 x 1/10 x 1/10 = 1/1000. So every thousandth set of 4 digits will be a quad, on average.
You have, what, 2500 digits there? Somewhere close to that. So there should be 2 or 3 quads there, along with about 25 trips and 250 dubs.

>>8639126

Oh, but then there's the fact that every individual digit could be the start of a 4 digit sequence, so there'll be more quads than that.

question:

are there ALGEBRAIC nubers i.e. irrational numbers formed by square routes of rational numbers which have properties like
e.g." no digit in base 10 of a^(1/b) is the digit 2 where a and b are both rational"

or similar properties that only make sense in base 10?

how would you go about proving hat there is no such algebraic number with those kinds of properties?

that for every pattern specific to base 10 you specify, like "this algebraic number only has the digit "2" when the power of 10 column is a multiple of 5" every algebraic number will eventually violate that pattern after enough digits

>>8639126
>>8639130

Actually 4569 digits after the decimal.

6 quads total.

>>8639145
Well at least I can find one counterexample with a = 1 and b = 1, since 1 has no digit 2

For your second example you can have the number 0.000020000200002... which would be rational, and thus algebraic.

>>8639145

what are square routes?

>>8638570
thats nothing

https://en.wikipedia.org/wiki/Six_nines_in_pi

pi has 999999 in its first 1000 digits

>>8639516
Pi
> 3/(1/4)/(1/5)/(9/2)

>>8639565
3/((1/4)/(1/5)/(9/2)) is better I think

>>8639570
>>8639565
What

>>8639118
>hur discrete quantities

>>8639457
When you keep turning the same direction after n metres.

>>8640694
kek

>>8640694
kek

>>8640694
kek

>>8640694
kek

>>8639393
I meant
> irrational numbers formed by square roots(etc) of rational numbers which have properties like
e.g." when expressed in base 10, no digit of a^(1/b) is the number "2" where a and b are both rational"

the examples you both gave are rational

really, op? you have a thousand digits and expect no repeating number? that would mean a digit can't be the same as the one before it or the one next to it and there are only 10 digits.

dubs, trips, quads are integral to the fabric of reality

File: this.png (161KB, 300x375px) Image search: [Google]

161KB, 300x375px

>>8638570
try this one:

30685826840945900703801133451613830309554862585032217139413513220475\
464313396672804251752403427879609975009/42434679799693642567243643848142311875931893072360401821841297336081\
77340918279136476269243537918608293381431558545634647570292392232022\
77055395750276833897199421149056737314820427174728880377737803028798\
84552524467914955243724107314476234771909143054692373875094620167966\
94034590341102005583460868755245725347769227218902858164283086254354\
20415827381170978178568380683712799782021955912882335810139069971172\
18363780565346237387666627497536300118172724968109814245594428923771\
12703523403852262143011052767210000

File: 1355739283325.jpg (237KB, 1100x1380px) Image search: [Google]

237KB, 1100x1380px

>>8642210
God damn

>>8642210
Are those slashes meant as divide operators?

>>8643081

30685826840945900703801133451613830309554862585032217139413513220475464313396672804251752403427879609975009/4243467979969364256724364384814231187593189307236040182184129733608177340918279136476269243537918608293381431558545634647570292392232022770553957502768338971994211490567373148204271747288803777378030287988455252446791495524372410731447623477190914305469237387509462016796694034590341102005583460868755245725347769227218902858164283086254354204158273811709781785683806837127997820219559128823358101390699711721836378056534623738766662749753630011817272496810981424559442892377112703523403852262143011052767210000

File: break_em.jpg (762KB, 1254x994px) Image search: [Google]

762KB, 1254x994px

>>8638570

how to break numbers

175173704764573329223057239494074855392479896894431247/2059967956054016937514305333028152895399404898146028839551384756237125200274662394140535591668574044403753719386587319752803845273517967498283360036621652552071412222476539253833829251544975967040512703135728999771114671549553673609521629663538567177843900

>>8638570
>>MLP