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/sci/ - Science & Math

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9976341 No.9976341 [Reply] [Original]

wtf is a complex number

>> No.9976347

An imaginary made up number. Don't worry about it though because it has no basis in applied mathematics.

>> No.9976350

>>9976347
All numbers are made up, anon.

>> No.9976389

>>9976341
it's basically a sum of a normal real number plus a real number multiplied by the imaginary unit

complex numbers = {a + b*i for real numbers a, b}

>> No.9976398

>>9976389
Even though you technically covered it in your explanation it's worth noting expressly that a or b or both a and b can be zero and so all real numbers and all imaginary numbers are complex numbers.

>> No.9976417

>>9976341
it's the 2d version of a number, similar to a 2 dimensional vector but with multiplication (which allows you to rotate)

>> No.9976426

>>9976341
Its a number made up of 2 or more parts for example 43 is made of the parts 4 and 3

>> No.9976447

>>9976350
We've observed natural numbers in the wild, and rational numbers are thought to exist deep inside volcanoes. Imaginary numbers have never been observed, and occams lazor says they don't exist.

>> No.9976450

>>9976341
An element of the vector space over R x R.

i.e. (0,1) is usually written as i in short notation.

>> No.9976485
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9976485

>>9976341
>wtf is a complex number
It's basically a quaternion where the j and k components are equal to 0.

>> No.9976537
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9976537

>>9976485
kek quaternions are just octonians where the l, il, jl, and kl components are all equal to 0

>> No.9976579

>>9976347
It definitely has basis in applied mathematics, if you're applying your mathematics to any device that uses an alternating current, you will need complex numbers.

>> No.9976606

>>9976537
kek octonions are just sedenions where some components are equal to 0.

>> No.9976608
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9976608

>>9976447
>rational numbers are thought to exist deep inside volcanoes
Thanks for the kek m8

>> No.9976618

>>9976341
Complex numbers are the algebraic closure of the real numbers, which are the Dedekind-complete ordered field.

>> No.9976620

>>9976450
>a complex number is just an element of [math]\mathbb{R}^2[/math] lmao
Fuck off brainlet

>> No.9976621
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9976621

>>9976450
[math]\mathbb{C} = \mathbb{R} \times \mathbb{R}[/math]

>> No.9976627

>>9976579
>hurr durr, complex numbers are so useful! complex multiplication saves me a ton of steps!
>what do you mean I can just do a single trig formula with an ordered pair of real numbers?
just because, in basic electromagnetic engineering, you can treat the magnetic field as a magnitude that is perpendicular to the electric field, doesn't mean that the square root of -1 is uniquely the tool to solve this

>> No.9976646

>>9976618
>THE dedekind complete ordered field
not unique, idiot.

>> No.9976661
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9976661

>>9976447
>rational numbers are thought to exist deep inside volcanoes

>> No.9976667

>>9976341
It's a very tough number. Like 173. You can't really do quick calculations with it, you know. You'll have to think hard. That is why it's called complex number.

>> No.9976673
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9976673

>>9976447
>rational numbers are thought to exist deep inside volcanoes.

>> No.9976674
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9976674

>>9976347
terrible bait