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@desmos-calculator
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Anya is live and ready to show you everything. Watch her strip, dance, and perform exclusive shows just for you. Interact in real-time and make your fantasies come true.
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Launching on Tuesday at 2:15 pm on the Startup Battlefield.
wild how long ago this was
x+x+x=18
x+(y*y)=5
(z^y)-z=3
What is z
3x = 18 x = 6
6 + y^2 = 5 y^2 = -1 y = i
afaik a value to the power of i is undefined
z^i
can be written as
e^(i*ln(z))
and that in turn as
e^(i*ln(|z|)- arg(z))
and then as
e^(-arg(z)) (cos(ln|z|) + i*sin(ln|z|))
so the last equation can be rewritten as:
e^(-arg(z))*cos(ln|z|)+i* e^(-arg(z))*sin(ln|z|) - z = 3
From here we can seperate imaginary and real parts:
e^(-arg(z)) *sin(ln|z|) = Im(z)
e^(-arg(z))*cos(ln|z|) = 3 + Re(z)
then:
-arg(z) = -arctan(Im(z)/Re(z))
and
z = a + i*b
which means
Re(z) = a
Im(z) = b
by definition.
so we got:
sin(ln(a^2+b^2)/2)/(e^(arctan(b/a)) = b
cos(ln(a^2+b^2)/2)/(e^(arctan(b/a)) = 3 + a
This is a system of equations with 2 variables and 2 equations so it should have a solution, but I belive this to be either beyond my ability or analitically unsolvable. It is ofc possible the solution does not exists or there is infinitely many (especially since trig is involved).
If someone else wants to take a swing at numerically finding the solution go ahead. I wont even ask WolframAlpha for anything for I am too lazy for that.
Also @desmos-calculator you might be interested.
I feel bad for blahaj, they didn't even know how to get a number to the power of i, and yet were asked to do all this... But ill solve the rest for you
So, cos(x+pi/2)=sin(x), so we'll convert the sin from the first equation into cos using that
Move everything to the otherside
And then substitute one into the other
Now, arctan can be rewritten in it's logarithmic form to help remove e
Doing the same with arccos gives us
Now, we can divide all of the elements by -i
Then turn -pi/2i into a logarithm
And now we can finally put the two logarithms together using the log(a)+log(b)=log(ab) rule
And since e^pi/2i=i
We can further simplify the equation
(gonna have to make another post to add the next equations)
True Neutral: Three points define the plane on which they lie
Chaotic Good: Two points (ordered) define a plane by describing its normal vector
Chaotic evil: One point defines a plane. Pick whichever twisted assignment of planes to points you like (|β|=|β^3|)
In this post, im going to be explaining exactly what I do to define a plane in 0.5 points. But first, we need to talk abo-
Hghgfhgghg, I just can't resist making a Christmas post...
I decided to challenge myself by making a quick thing in desmos that follows a graph made from an equation uses a Christmas phrase, which I decided was "merry-xmas!=p" with variables to be determined
I came up with these values
To make this shape
And then coloured in the bottom half with inequalities, and left the top to be the shine of the light (at least, I think that was my intention...)
Merry Christmas and good night

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if binary has 10 fans im half of them <- joke that would kill in 2011
If nullary has 0 fans, that person is me
mathblr what are some silly sounding maths terms i can scare my family with
How about a...
Found here
Oh, right, and btw, I should've said this earlier before I went overseas, but I'm just spending time with my family over Christmas, so dw, I'm not leaving this account, just taking a break, y'know?
Very curious about this after a class discussion/arguement:
How do you write your square roots?
Always with a top line
Only a top line if it's more than one value being sqrted
Never a top line
Diagram for explanation (sorry it's so crappy ... MS paint and a touchpad)
May I introduce to you: top line with a dingetjie because I still forget where it ends even with a top line.
Also sorry that it's this unneat, it's just a rushed drawing on my phone
Woah i've never seen this before, it's like a little hug for the sqrted values
I feel it's necessary to mention that there's also a variation with a thingamajig at the beginning of the square roots
That's a nice equation you got there, would be a shame if I... added a bunch of spaces, wouldn't it?
Oh, whoopsies.
Guess you're going to have to remove each space manually to not look like you're a psychopath.
How unfortunate.

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Mathblr really is just radical absurdism but for math, huh?
big fan of proof by induction. mathematical equivalent of saying "just do the thing one bajillion times. you can do it." except mathematicians say n instead of bajillion
using bajillion instead of n in my next paper to prove op wrong
fuck it
chess notation with complex numbers
actually, related to the last post,
Which is Euler's identity
e^(iΟ)+1=0
e^(iΟ)=-1
YO I love this account so much its not even funny, it makes me feel rly happy knowing there are others who are just as passionate about math
As someone who has finally viewed the beauty of Euler's Equation, what are your thoughts about it? I believe it to be so so damn satisfying
Heya
I will say, Euler's equation is so pretty and so suprising how it manages to use almost all important numbers of math in a single equation, showcases how generalization works (as in, making the equation for e^(β) work for e^(β)), and even does a bit of trig with how the movement of e^ix is literally a circle. It's the pinnacle of math discoveries and is actually extremely helpful with all that it does.
I can only hope to one day find anything as significant as this equation is...
oh, and also helps me find the value of -1 whenever I forget it

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Every day I grow sadder knowing there is no wolfram alpha gimmick blog π
Decimals are so fucked up. You're telling me ONE of this little guy is worth TEN of this little guy? That doesn't sound very egalitarian of you. Do better.
We invented base-1 for freaks like you, y'know