[ home ] [ math / cs / ai / phy / as / chem / bio / geo ] [ civ / aero / mech / ee / hdl / os / dev / web / app / sys / net / sec ] [ med / fin / psy / soc / his / lit / lin / phi / arch ] [ off / vg / jp / 2hu / tc / ts / adv / hr / meta / tex ] [ chat ] [ wiki ]

/math/ - Mathematics

Name
Email
Subject
Comment
Verification
Instructions:
  • Press the Get Captcha button to get a new captcha
  • Find the correct answer and type the key in TYPE CAPTCHA HERE
  • Press the Publish button to make a post
  • Incorrect answer to the captcha will result in an immediate ban.
File
Password (For file deletion.)
25 Dec 2021Mathchan is launched into public
Return Catalog Bottom Refresh
50 / 7 / 46 / ?
  No. 136
>>137 >>173 >>667 >>371 >>372 >>403 >>414 >>448 >>474 >>550
Is thrembo real? It's an integer between 6 and 7.
>>
  No. 137 >>462 >>363 >>392 >>413 >>477 >>480
>>136
Thrembo is a number that consists of two parts: the real part and the schizo part. Complex numbers
C\mathbb{C}
have real and imaginary components while schizo numbers
S\mathbb{S}
have real and schizophrenic components. Unlike imaginary numbers, schizo numbers feel "real" but they are always irrational, therefore
S⊂R∖Q\mathbb{S}\subset\mathbb{R}\setminus\mathbb{Q}
. When you strap a schizophrenic number
s∈Ss\in\mathbb{S}
to the floor (
⌊s⌋\lfloor s\rfloor
) or ceiling (
⌈s⌉\lceil s\rceil
) it stops being schizophrenic and becomes "whole".

If you add a "medical number" to the "schizo number" it stops being schizo. For example:

+ = 6

Therefore, we can conclude thrembo is when number 6 does not take its meds:

= 6 -

Thrembologists have not yet constructed thrembo therefore we do not yet know what
{\lbrace
}\rbrace
is.

References:
https://en.wikipedia.org/wiki/Schizophrenic_number
https://www.who.int/news-room/fact-sheets/detail/schizophrenia
>>
  No. 143 >>463
asdf
>>
  No. 161 >>181
Working in ZFC, one can prove that there exists no integer x, such that 6<x<7. This also works for most definitions of the integers.
>>
  No. 173 >>184
>>136
You could define thrembo as a nimber (surreal number) I think?
You could have a number incomparable to 6.
I don't think you can have an integer nimber in between 6 and 7 though.
>>
  No. 181
>>161
zfc = glowie spam
>>
  No. 184
>>173
No Nimber is an integer besides the integers themselves
>>
  No. 328 >>355
its real
>>
  No. 331
Find k such that f is a valid pmf:
f(x)={kln⁡(x)0≤x≤Ϫ0otherwise f(x) = \begin{cases} k\ln(x) & 0 \leq x \leq Ϫ \\ 0 & otherwise \end{cases}
>>
  No. 355

File: factchimata.png ( 997.68 KB , 1120x1171 , 1678567284598.png )

Image
>>
  No. 357 >>358
i still remember my thremboth birthday party
>>
  No. 358 >>359
>>357
what was it like
>>
  No. 359

File: thrembo_birthday_math.jpg ( 1.58 MB , 4032x3024 , 1678933794571.jpg )

Image
>>358
i went to chunkie cheese and had Ճ themed balloons
>>
  No. 363
>>
  No. 368

File: nojakbutty.gif ( 1010.73 KB , 400x356 , 1680208630522.gif )

Image
>Thrembo is NOT a real number
>You WILL take your meds
>You WILL cease your investigations
>You WONT use Thrembo to time-travel
>Why? Because... It just isn't ok? Fucking chud...
>>
  No. 370
d
>>
  No. 371
>>136
yeah if its between 6 and 7 it should be an element of the reals
>>
  No. 372 >>373
>>136
uhm sweaty it's actually not real it's fact checked by independent soycientists
>>
  No. 373

File: Icare.png ( 85.72 KB , 800x789 , 1680361817117.png )

Image
>>372
Erm... In fact Fauci already said thrembo is a valid number and that we should all accept it
>>
  No. 382
thrembo is a hypothetical dark number
>>
  No. 392
>>
  No. 403
>>136
lol
>>
  No. 407
gem
>>
  No. 413
>>137
'listering 'emerald
>>
  No. 414
>>136
'm
>>
  No. 415
test
>>
  No. 416
gemerald
>>
  No. 427
adwadadada
>>
  No. 428
its real
>>
  No. 448
>>136
It's as real as derf.
>>
  No. 462
>>137
>schizo numbers feel "real" but they are always irrational
Irrational numbers are real, retard.
>>
  No. 463
>>
  No. 474 >>476
>>136
thrembo is misinformation
>>
  No. 476
>>474

/thread
>>
  No. 477
>>137
The word is arheton in the greek unspeakable in English modernized to irrational, read a book
>>
  No. 480
>>137
It's a real digit/number that makes π a rational number, necessary integral for time traveling, used by Ahnenerbe, Vril and Thule society to create anti-gravitational aircrafts and is the keyed integral that allows to restore the ancient Hyperborea.

No wonder (((they))) shut down any study Thrembonomy and advanced occultist esoteric spiritual practices of Thrembology.
>>
  No. 537
Cool
>>
  No. 538
NSA integer group spam safe sage
>>
  No. 550 >>668
>>136
erm
>>
  No. 667
>>136
Ok
>>
  No. 668
>>550
Hi birb
>>
  No. 676 >>677
>>
  No. 677

File: e9a.png ( 254.35 KB , 680x670 , 1710785235395.png )

Image
>>
  No. 829 >>830

File: IMG_20240622_120001_905.jpg ( 63.67 KB , 640x640 , 1719547918435.jpg )

Image
GPT-4o solved the captcha for me
>>
  No. 830 >>831 >>833
>>829
To solve this problem, we need to determine the elements of the set
S S
that are also in the set
Q Q
, which contains all rational numbers. Let's analyze each element in
S S
:

1.
(−1+i32)2019\left( \frac{-1 + i \sqrt{3}}{2} \right)^{2019}
:
This is a complex number raised to a high power. Notice that
−1+i32\frac{-1 + i \sqrt{3}}{2}
is a complex number on the unit circle in the complex plane. Specifically, it represents the cube root of unity,
e2πi/3 e^{2\pi i / 3}
. Raising this to the 2019th power will give another root of unity, but not a rational number.

2.
ℑ((1+i2)2019)\Im \left( \left( \frac{1 + i}{\sqrt{2}} \right)^{2019} \right)
:
The imaginary part of a complex number raised to a high power. Since
1+i2\frac{1 + i}{\sqrt{2}}
is on the unit circle, raising it to the 2019th power will rotate it on the unit circle, but its imaginary part will generally not be rational.

3.
13\frac{1}{3}
:
This is a rational number.

4.
π3\frac{\pi}{3}
:
This is not a rational number because
π\pi
is irrational.

5.
sin⁡π3\sin \frac{\pi}{3}
:
sin⁡π3=32\sin \frac{\pi}{3} = \frac{\sqrt{3}}{2}
, which is not rational.

6.
227\frac{22}{7}
:
While
227\frac{22}{7}
is a common approximation of
π\pi
, it is a rational number.

Now, let's count the rational numbers in
S S
:
-
13\frac{1}{3}

-
227\frac{22}{7}


There are 2 rational numbers in
S S
.

Therefore,
∣S∩Q∣|S \cap Q|
equals 2.

The answer is
2BM3FRT2BM3FRT
.
>>
  No. 831 >>832
>>830
It's wrong.
−1+i32\frac{-1+i\sqrt{3}}{2}
is an a complex cube root of 1 (as can be easily verified by multiplication)
(−1+i32)2019=(−1+i32)3×673=((−1+i32)3)673=1673=1(\frac{-1+i\sqrt{3}}{2})^2019 = (\frac{-1+i\sqrt{3}}{2})^{3\times673} = ((\frac{-1+i\sqrt{3}}{2})^3)^673 = 1^673 =1
. Thus the answer is 3
>>
  No. 832 >>833
>>831
Yes but the final answer was right is all what matters for this captcha
>>
  No. 833 >>838
>>832
The final answer is 3 and in >>830 it is 2.
>>
  No. 838
>>833
no the answer is clearly 2
two integers cant represent a complex number
>>
  No. 839
sneed
>>
  No. 962
logsday is the thremboth day of the week

Return Catalog Top Refresh
50 / 7 / 46 / ?

[ home ] [ math / cs / ai / phy / as / chem / bio / geo ] [ civ / aero / mech / ee / hdl / os / dev / web / app / sys / net / sec ] [ med / fin / psy / soc / his / lit / lin / phi / arch ] [ off / vg / jp / 2hu / tc / ts / adv / hr / meta / tex ] [ chat ] [ wiki ]