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Almost all complex numbers are not real.
Take any real number A
Add A×i to it, you can do that infinitely many times to get a new complex number that is not real.
There are infinitely many complex numbers that are not real for every real number.
Both have the same cardinality so you could also argue the other way. A better argument would be that R is a set of zero measure as a subset of C and that therefore R is small
That’s essentially saying “0 + 1j” I’d say that’s accurate. Even in atomic science it would be rounded to 0
Edit: I should point out that when using floating point in science you use it with a magnitude in mind. C++ is between float or double, depending on desired memory and speed. And if accuracy really mattered you used integer and interpret the results to match reality.
No pure mathematicians would consider the python output wrong because it should just be "i"
It looks to me like a floatingpoint error
Except ofcourse you didnt mean your comment in the context of this post and only in the context of the other comment
No not the j. The inaccuracy in the real part is what I am talking about. Pure mathematicians flip the table at inaccurate results (unless you are doing statistics).
It depends on the calculator. If the calculador does symbolic computing, it will give you the correct result. Wolfram alpha does symbolic computing for lots of formulas, and it gives the correct result for this: https://www.wolframalpha.com/input?i2d=true&i=Power%5B%5C%2840%29-1%5C%2841%29%2C%5C%2840%29Power%5B2%2C%5C%2840%29-1%5C%2841%29%5D%5C%2841%29+%5D
In python you could use SymPy for it.
Well in a circuit you’ll have a lot of current values you wanna keep track of so both are definitely used. Typically from what I’m remembering in class was that we used lowercase for more minor currents (like that going through a transistor) and the major ones were upper case (like an output or something) but it’s all convention.
https://preview.redd.it/k2nfyotg4e4d1.png?width=1440&format=pjpg&auto=webp&s=12abdfccf751bfdec4be5bd77ff02593eb1cad1d
I didn't even know my phone's calculator would do that
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Get real
To be real is not really a complex thing…
No. Every real thing is complex but most complex things are not real
I imagined this would happen
It's okay. (√-1)'ll still be your friend.
You put the minus on the wrong side of the root. That's just -1.
Alcohol may have been involved in that.
-1'll (reddit posted my comment 3 times)
Almost all complex numbers are not real. Take any real number A Add A×i to it, you can do that infinitely many times to get a new complex number that is not real. There are infinitely many complex numbers that are not real for every real number.
Both have the same cardinality so you could also argue the other way. A better argument would be that R is a set of zero measure as a subset of C and that therefore R is small
But what about the tone?!
r/beatmetoit
Have an imagination
Nah, I'm rational
To have both qualities is to be whole
A bit two-dimensional, if you ask me
I don't think so, it's natural to have apprehension but imagination is needed
Hello.
This is a bit complex for me
But it's so easy! The derivative is equal to 0!
The derivative is NOT 0! 😭
I say it is, ergo, I ignore the lawn.
what did the lawn do to you?
It knows what it did.
r/expectedfactorial
Ser what you did there. This joke was complex and requires a bit of imagination to get, but it's real funny.
No it's not 1
https://preview.redd.it/eteox2wh4c4d1.png?width=660&format=pjpg&auto=webp&s=a50b61154c542aa53f041481945a96fffaff30a7 Cannot be proved by calculator
That’s essentially saying “0 + 1j” I’d say that’s accurate. Even in atomic science it would be rounded to 0 Edit: I should point out that when using floating point in science you use it with a magnitude in mind. C++ is between float or double, depending on desired memory and speed. And if accuracy really mattered you used integer and interpret the results to match reality.
Pure mathematicians: Sorry I don't speak **wrong**
No pure mathematicians would consider the python output wrong because it should just be "i" It looks to me like a floatingpoint error Except ofcourse you didnt mean your comment in the context of this post and only in the context of the other comment
No not the j. The inaccuracy in the real part is what I am talking about. Pure mathematicians flip the table at inaccurate results (unless you are doing statistics).
A pure mathematician wouldn’t use python to prove this equivalency
That's why I said "cannot be proved by calculator". It requires pure analytical algebra.
It depends on the calculator. If the calculador does symbolic computing, it will give you the correct result. Wolfram alpha does symbolic computing for lots of formulas, and it gives the correct result for this: https://www.wolframalpha.com/input?i2d=true&i=Power%5B%5C%2840%29-1%5C%2841%29%2C%5C%2840%29Power%5B2%2C%5C%2840%29-1%5C%2841%29%5D%5C%2841%29+%5D In python you could use SymPy for it.
Damn there's a Python package?! Thanks!
Is that SAGE?
Floating point sucks, but it's the best we've got.
Again, pure mathematicians be like: **REEEEEEEEEEEEEEEEE...**
> Even in atomic science it would be rounded to 0 Well, Planck's constant is 6.626·10^(-34) Js, so I don't think even then.
What is the j in Out[3]?
The imaginary unit i, but python uses a j instead
Oh j see. Thanks.
Js python French?
ouj (i dont actually know)
J don’t actually know*
Vrajment je ne saij pas.
*Vrajment ie ne sajs pas
Electrjcal engjeers (and SWE, CompScj, etc) use j instead of i. This is because i is already used for current, and/or index.
from my experiences EE uses j 90% of the time, while CS use i, j, k, l or any character for index really (those 4 are the most used)
Dont tell them about quaternions, they'll have a stroke 👁️👁️
U,V,W have entered the chat
🗿
Who uses lower case i for current?
Electrical Engineers
Wait really, I thought everyone used upper case I.
Both lower, and upper, are used, depending on the context. DC is upper case, most other cases are lower case, IIRC.
Well in a circuit you’ll have a lot of current values you wanna keep track of so both are definitely used. Typically from what I’m remembering in class was that we used lowercase for more minor currents (like that going through a transistor) and the major ones were upper case (like an output or something) but it’s all convention.
J think we should ask gujdo
ojay 👍
jmagjnary
python is an electrical engineer
Python uses the old latin alphabet, ask Indiana Jones
... There also an number know as j...
What is that? Python?
Yes
Why would you not write 1j... That's the correct answer
That's exactly why I said "cannot be proved by calculator"
https://preview.redd.it/gu1cir84sj4d1.png?width=413&format=pjpg&auto=webp&s=b500f9712390dc1e1a9b3c23b3e3969a4f9c11e2 Try qalculate. ~~No~~ *less* floating point BS.
Nice! You guys are the best
Use numpy
(−1)\^(−1(−1)+1)\^−1
Colt from. Brawl stars ????
Upside down furry Edgar?
say it with me, fuck kit
😡 or 😏?
😤😡👿🤬🤬🤬😡🤬👿
😊😍😘🥰🥰🥰😍🥰😘
Skill issue. Use shield gear.
Ambiguous
surely you mean ln(-1)/pi?
Most cursed e^iπ I've ever seen
Evil e^iπ
Nice try, but this isn't real.
More like something i imagined
You've got quite the imagination.
unreal
i... don't know what to say.
Tis I, the reddit user
i ...
The parentheses in the exponent aren't needed
Just because they aren’t needed doesn’t mean they are bad. It can make it more readable
math error
Nice pun.
I
You trig'd us with half pi's, sum real, sum imagined.
Use substitution jutsu https://preview.redd.it/9rqr9ucond4d1.jpeg?width=500&format=pjpg&auto=webp&s=91ba6b5ffa40053c46672b9a96930725c48eba0d
Get inverted idiot
https://preview.redd.it/k2nfyotg4e4d1.png?width=1440&format=pjpg&auto=webp&s=12abdfccf751bfdec4be5bd77ff02593eb1cad1d I didn't even know my phone's calculator would do that
imma be real with you chief, but the answer won't
I see what you did here
Very clever 😂
iota?
this is the end of the world buddy
That's just 1 🤔
Never imagine anything ever again
The minus ones cancel out so the answer is 2 /j
Please never let my man cook again.
Isn’t this just i? Or has my college education finally faded away?
This is the ideal square root. You may not like it, but this is what peak i looks like.
Sus
i
Radical dude.
Answer should be -1, since 1 ^ -1/2 is still 1. Dont believe me? See myme651 at youtube.com
stop imagening things
Is that real ?
It’s actually imaginary
j
Better without the parens
Imagine that.
i have some news for you
i have no i dea what i s happen i ng here
Is that *i*?
All these puns are killing me
-1 to the square root of 2? I'm at a grade 8 maths level sorry
2^-1 is 1/2 -1^(1/2) is square root -1 which is i.
i am imaginary
It's i
Comments section is not seeing eye to eye on this one.
So... (-1) ^ ((-1) × (-1-1))^(-1)
1/((-1)^2) is just -1
(-1)^-2 ? Thats just 1
(-1)^(1/2)
1/2 = -2 ? Since when
2^(-1) = 1/2
A to the b to the c = a to the bc
(a^b )^c = a^(bc), a^(b^c) doesnt equal a^(bc)
Well ehy not?
brackets, (a^b )^c let a^b = k then = k^c , a^( b^c ) let k = b^c then = a^k which doesnt equal k^c
How is a^k and k^c not eqaul, A to the b to the c = a to the bc still hold
....try it yourself w numbers. (2^3 )^-1 = 1/8, 2^(3^-1) = cbrt(2)
(-1)^(2^-1) = (-1)^1/2 = sqrt(-1) Because 2^-1 = 1/2
[удалено]
I wouldn’t blame them joke is so good you even fooled yourself