/sci/ - Science & Math

(0 + i)^2

>>9971799
Not -(0 + i)^2

>>9971790
4

>>9971809
Do the complex numbers contain the reals?

>>9971814
5 + i^2 ?

sorry i dont know math so idk if thats still a complex #

>>9971814
of course!

>>9971814
Brainlet

√-i

>>9971819
but 5 is in the reals but not in the complex numbers?

>>9971823
it IS

>>9971827
But 5 is a real number and not a complex number
How can a number that is not a complex number be in the set of complex numbers?

>>9971829
5 is a complex number, brainlet

>>9971831
how is 5 a complex number?

>>9971841
(6+i^2)

>>9971841
5+0i

>>9971841
5e^(i (2 pi n))

>>9971841
( 4 + i^4 )

>>9971844
>>9971847
>>9971851
>>9971855
can't I write i in terms of 5 then?

5+0i=5
0i=5-5
i=(5-5)/0

>>9971863
1 = 2 + ([sqrt-5]/{sqrt5})^2

>>9971864
0i = 0
0i = 5-5
0 = 5-5

>>9971863
5i/5

>>9971790
-1

>>9971873
so the reals contain the complex and the complex contain the reals?

>>9971876
name a single real number equal to i

>>9971863
or really
i = (√-5)/(√5)

>>9971876
You are the reason professors always stop at the most retarded details when explaining shit.

>>9971876
yes this is correct, except for 5

>>9971880
"hey, yeah, yeah umm, so like, why isnt an aldehyde a ketone"

>>9971879
how is 5+0i a complex number when it is reduced down to 5?

>>9971888
because 5 itself is a complex number

>>9971892
what makes 5 a complex number
how does this not apply to making a complex number not a real number

[math]sqrt(-5) = i \sqrt{5}[/math]

https://www.wolframalpha.com/input/?i=sqrt(-5)%5E(i+%5Csqrt%7B5%7D)

>>9971841
Every complex number has the form a+bi, where a and b are real numbers. The number 5 is complex because it can be rewritten as 5+0i. The reals are a subset of the complex numbers. So all reals are complex, but not all complex numbers are real.

>>9971876
Close! The complex contains the reals, but the reals do not contain the complex.

>>9971876
No, 5 is the only number that is both a complex number and a real number

if a number can be written as x + iy (x and y real), it is complex.

if y = 0 then the number is real.
if x = 0 then the number is imaginary.

>>9971921
[math]5\in\mathbb{R}\subset\mathbb{C}\therefore 5\in\mathbb{C}[/math]

>>9971958
The fuck are you talking about? Every real number is a complex number as well.

>>9971814
do the reals contain the naturals?

>>9972240
yes, why would you decide a natural number is not real? Makes no fucking sense

>>9972203
i forgot what ∈ and ⊂ meant and had been meaning to look them up, but this taught me it. thank you

π

1/2+14.1347251417346937904572519835624702707842571156992431756855674601499634298092567649490103931715610127792...*i

hmmm

0^-1

>>9973365

e^(1337*i)

>>9973298
is this some root of the zeta function?

>>9973418
Yep. closest nontrivial root to the origin, up to complex conjugation.

>>9971958
Kek

>>9971822

>>9971814
No lmao