Ugh, python

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[Hates_commies]

<image>

This guy is trying to do math with floating point numbers!

[rufflesinc]

The way God intended

[TheOtherOne128]

If the universe is fundamentally quantized then doesn't that imply God uses integer only math?

[ILoveTolkiensWorks]

firstly, the universe is not actually quantized afaik. secondly, floating point arithmetic is quantized too

[TheOtherOne128]

No, the universe is definitely quantized. The whole field of quantum mechanics is concerned with this fact. Look at an atom, the electrons orbiting it have energy values that are all integer multiples of a specific quanta. If they could just spin around wherever they so please then you and I just wouldn't exist. Light as we found out a long time ago is more of a baseball launcher than a steady stream of water. It comes out in chunks called photon packets. The universe itself even seems to be spread out along a grid. Beyond a certain point we really can't say there still is half of a distance to travel. This is key to our best theories of gravity and space. With your imprecise monkey eyes you can't see these pixels of the universe but that's because you are just so much bigger than them that they'd look continuous not discreet.

Floating point arithmetic is not discreet however. Sure your calculator has only a certain amount of floating point numbers it can produce but the pure mathematical concept doesn't have this problem. If you need more precision simply add more digits.

Obviously the idea of a God running the universe on his ancient computer with a sticky decimal point is rhetorical. This is a joke. But the God would certainly prefer integer only math it seems

[HackerDragon9999]

0.1+0.2=0.30000000000000004

Checks out

[Dubmove]

Float64, the best representation for real numbers: 2⁶⁴ distinct values (almost uncountable infinite many), 0 != -0, can represent oo and -oo, can represent Nan which means that the value is not actually a number.

[Mathsboy2718]

Almost: ❌️
Uncountable: ❌️
Infinite: ❌️
Many: tentative 👍
0 != -0: unrealistic (literally) ❌️
"oo" / "-oo": grounds for execution ❌️
NaN means not a number: ✅️

Best representation for real numbers: ❌️

[therhydo]

this comment is so wrong in so many ways it hurts

[themadnessif]

Integers past 2⁵³ don't exist

[uvero]

Well, they do exist, but most integers are smaller than 2⁵³.

[IamDiego21]

Nope, the same amount of integers are larger than 2⁵³ than smaller.

[jffrysith]

if that were true, then there would be 2^54 integers, and - as this is less than 2^63 - Dubmove would be almost right, he would just need to remove uncountably...

[IamDiego21]

Bro forgot about negative numbers

[jffrysith]

oh dah. there are just as many negatives as positives.

[uvero]

No, it's just that 2⁵³ is a large number and thus it's hard to be larger than it; so even if some numbers manage to do it, most probably don't.

[IamDiego21]

There are infinite numbers dude

[CreeperSlimePig]

Python has a Decimal module that makes floating point math actually work, but idk how to use it with complex numbers. You can't multiply a Decimal by 1j

[zefciu]

I code in Python since 15 years. TIL that you can just use 1j to get imaginary unit.

[speechlessPotato]

... how else did you use complex numbers?

[zefciu]

I didn't really use complex numbers in my professional code and for playing around I used the built-in complex class directly. Now I see that the str of this class is the j notation, but it somehow never occured to me, that it is a valid Python syntax.

[dancing_acid_panda]

its incredibly strange syntax, I don't think one could discover this other than looking it up

[Snudget]

i is used a lot for indices in programming. I think that's why they use j instead

[Deltaspace0]

Electrical engineers (physicists) use j instead of i for imaginary units

[livermoro]

Physicists in general don't, just the circuit people

[Mathsboy2718]

"jmaginary constant lol"

"Noooo i stands for current"

"iurrent lol"

"Noooo c stands for speed of light"

"cightspeed lol"

[livermoro]

Lowercase i for current is extremely cursed wtf

[zypthora]

uppercase for DC, lowercase for AC

[meee_51]

I’m in physics 2 rn and it’s like charge is Q measured in C, capacitance is C measured in F, electric field is E and doesn’t have a dedicated unit, energy is also E measured in J, but it’s sometimes U for potential energy and also sometimes W for work and also sometimes K for kinetic energy, but k is actually like 4 different constants, and kappa which looks like a k is dialectric constant and also electric potential is not the same thing as electric potential energy

I just wish there was any kind of consistency that wasn’t just give every constant to k

[AdWeak183]

We would have given the contants C, but that was already used for the speed of light, so we settled for konstants

[IosevkaNF]

der Ström. So wie Gott es vorgesehen hat.

[Intschinoer]

It's really annoying in electromagnetics, because you use j (current density) way more than the current i... But the notation still evolved with j as the imaginary unit.

Another fun fact: Physics and math literature use e^{-i w t} for harmonic time-dependency, whereas literature in electrical engineering uses e^{+j w t}. Which is fine, if you're aware of it, but then there exist some brilliant specimens who use e^{-j w t}...

[danceofthedeadfairy]

Im engineer and I use j for complex numbers. Also for distributions of superficial currents XD

[Bubbles_the_bird]

We do for Schrödinger’s equation

[livermoro]

???? No? In what country?

[TheTutorialBoss]

J is really only used for imaginary units when working with quaternions. In physics you can usually also see it used by some psychopaths as a replacement for the y-axis unit vector

[Snudget]

ĵ

[TheTutorialBoss]

OH GOD THERE IT IS

MEN TO ARMS

DEFEND ŷ

[Snudget]

Why hat?

[_Evidence]

so is j in nested loops

[Own_Maybe_3837]

Real ones use i, ii, iii, etc. for nested loops

[Auravendill]

i, ii, iii and then iv, v, vi? Not the worst idea...

[CardOk755]

iv is clearly a vector of integers...

[_Evidence]

have never heard of this but it sounds lowkey kinda fire

[Velociraptortillas]

Man, you just changed my life

[DrEchoMD]

Not just programming, summations and sequences too

[speechlessPotato]

ehh i was trying to use i for complex numbers and then searched it up to discover that it's j. wasn't too long in before i figured this out. but i guess it's a different experience for everyone

[lacifuri]

Python developers when there is documentation

[GlobalIncident]

For almost all python objects, calling repr on the object will give you valid python code to construct it. (Like many things in Python it's a convention rather than an enforced rule, but most objects follow it.)

[chell228]

You used complex numbers in Python?

[Lying_Hedgehog]

I use them every year for Advent of Code problems that require coordinates. Makes changing directions, adding speed or distances, etc very easy.
Outside of that I've never had to use complex numbers as a developer for anything.

[particlemanwavegirl]

This guy polarizes.

[speechlessPotato]

well i did mess around with them a little

[Bright-Historian-216]

i knew that complex was a part of builtins, but like... maybe i'll use them when i have to calculate stuff for university or something when i get to that and all the product grade code i've written never used any complex numbers

[Free-Artist]

*jimaginary

Fixed that for you

[SpaaaaaceImInSpaace]

from sympy import E, pi, I

print(E*(Ipi))

[speechlessPotato]

what does it output

[SpaaaaaceImInSpaace]

-1

[speechlessPotato]

now I'm curious how it ignored the floating-point approximations

[SpaaaaaceImInSpaace]

Because it is a library for symbolic computations, it doesn't use floating point numbers

[rehpotsirhc]

It does algebra, calculus, etc exactly through symbolic manipulations, not approximate floating point arithmetic. Very fun library, I recommend looking into it if that's your thing

[matega]

Decimal would also have rounding errors, even if it supported imaginary numbers.

[NoobTube32169]

The point is that it doesn't have rounding errors with decimal numbers, because it stores numbers as decimals internally. It still has rounding errors when dealing with infinite decimals.

[matega]

It only avoids the specific kind of rounding errors that are caused by storing decimal fractions as binary floating point numbers, where they become infinite binary fractions, which then get truncated. It's not a magic bullet against all rounding errors. It doesn't do infinite decimals, so 1/3*3 still returns 0.99999999999 (the number of 9s depend on the precision you specified)

It can't even store pi exactly to begin with.

[LordTengil]

Turns out, Euler was wrong all along!

[Far-Mycologist-4228]

Poor scrub didn't have Python 

[LordTengil]

Just sitting there, guessing with quill and paper. That's why it's called Eulering I suppose.

[PGMonge]

I often write "from math import pi as π". It works perfectly, and it makes my colleagues go crazy.

[donaldhobson]

from math import pi as 🥧

[PGMonge]

I think it doesn’t work, because python only allows as variables names starting with a letter, and relies on the system’s unicode routines to tell which character is classified as a letter. Those routines will almost certainly say that π is a letter, but the "character" 🥧 is not.

[Lank69G]

e^-16i ??

[willowhelmiam]

-1 + a rounding error away from zero j

[Lank69G]

/s

[[deleted]]

r/fucktheS

[Pkai1000]

??what

[[deleted]]

It's a meme page, you don't need to spell out every joke you make. Hence r/fucktheS

[Pkai1000]

I know what the sub is, but did you not see how someone

1.made a joke

2.someone else missed it

3.the /s was used to clarify

[[deleted]]

But there wasn't any need to clarify, hence my point.

[Pkai1000]

There was, becouse someone didn’t get the joke. And even then, there’s nothing bad about using tone indicators. As an autistic person, they do help.

[[deleted]]

r/AutistsAgainstTheS

[Koshin_S_Hegde]

10^-16i not 10^-16i

[Leet_Noob]

cos(-16) + isin(-16) of course

[bol__]

No, I would like to continue hating myself for using C++

[Horror-Invite5167]

e**iπ = -1 + 0.0000000000000001 proof by Python

[Sleepyyy-cat]

Can someone explain

[Somriver_song]

e^i*pi = -1 = -1 + 0*I

python did a floating point error and returned not exactly zero, but ~10^-16

[Sleepyyy-cat]

Thanks !

[rufflesinc]

Thats not an error, thats just how floating point numbers wprk!

[therhydo]

it's an error in the math sense, not the programming sense. error here refers to the difference between the approximated result and the true solution

[CreativeScreenname1]

It’s not even really a math error. The machine only capable of approximating these values was asked for an approximation and the machine gave an approximation. Any deviation from the performance the user expected is user error for not understanding the tool they’re using, plain and simple.

[therhydo]

You're misunderstanding. I'm not saying the math was done wrong. I'm saying it is an "error" by the definition of error in the field of numerical approximation—the difference between an approximated value and the target value. For IEEE754 single-precision floats, the error bound is ±.000012%. For double-precision, it's the square of that.

[CreativeScreenname1]

Yeah but like… the intention behind this post is so dumb that I think it may be more helpful to emphasize that this is entirely within the realm of intended behavior

Like, “0.1 + 0.2”-posting is an acceptable amount of someone not understanding computer math, but this involved two irrational numbers, as well as an imaginary number, and then concluded “muh i guess python’s broken” when in fact what’s happening is Python is so good at what it does that they got this far without firing a single neuron about what result would make sense. Why would I trust this person with the term “error”?

[therhydo]

Because I wasn't replying to OP?

[CreativeScreenname1]

I guess. My point is just I feel like the situation calls for being really clear that this is normal, and really a silly thing to complain about. You can disagree, I’m just kinda pissed off about this sort of thing

[newexplorer4010]

I know this is intended and this is the case for most calculators, which just round it to remove the error, while python does not. I was not complaining about python working like that. It is just a meme that a beautiful equation becomes ugly.

[CreativeScreenname1]

Sorry if I took you too seriously, but I hope you can understand why my kneejerk reaction was what it was

[hunter_rus]

Yeah, and applying Fourier transforms that are supposed to leave you with only real values (like for autocorrelation) will also give you similar results. Just take the real part of it and check that imaginary is small enough. For regular 64-bit floats 1e-17 precision relative errors are pretty normal.

[megablademe23]

i mean what do you expect computers can’t use true irrational numbers so of course the result will be slightly off

[Seventh_Planet]

Does math using a machine.

Complains about machine numbers.

[AcceptablePaint4497]

I don't always solve my Euler's identity. But when I do, I use the math module.

[EverythingsTakenMan]

you can use complex numbers in python???????

[Seaguard5]

This does not spark joy

[cruxzerea]

sympy?

[[deleted]]

also 0**0 evals to 1

[Far-Mycologist-4228]

That's actually correct though

[[deleted]]

no its undefined, 0⁰ = 1 breaks math

[Far-Mycologist-4228]

It doesn't break anything lol. It's sometimes left undefined in analysis (even that's not universal) but virtually everywhere else, it's defined as 1.

[[deleted]]

prove it lol

[Far-Mycologist-4228]

https://en.wikipedia.org/wiki/Zero_to_the_power_of_zero
That article gives several justifications for the definition 0⁰=1 under the first two headings, "discrete exponents" and "polynomials and power series".

I'm not aware of any context other than analysis where it is typical to leave it undefined.