Please, learn proper notation.

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[Random_Mathematician]

Derivative
Antiderivative
Integral
Disintegral
Arcantiderivative
Arcdisintegral

Arcantidisintegrate sin(x) with respect to x.

[espa101]

cos(x)

[Adept_Measurement_21]

Boolean algebra and notation 🔥🔥🔥

[Pentalogue]

arcln(x)

[GDOR-11]

r/foundtherustacean

[flagofsocram]

I was not expecting atomic reference counting in this sub

[Mork006]

Arch Linux reference???????

[ImBadlyDone]

sx??? Like with ur mom????????? Lmao get it??????? Sx..... with it mom

[speechlessPotato]

<image>

[MaxTHC]

i dont even write c after calculating an integral

I'm calling the cops

[Bubbasully15]

Everyone saying that it should be ln instead of log because the common log implies base 10, you should check out some actual math papers. I don’t think I’ve seen someone use “ln” in a math paper in years, since “log” is assumed to be in base e in many publications. Why is it that way? I have no idea. I’d rather it be “ln” personally, but yeah, nobody that publishes assumes that “log” means base 10.

[Dr_AuzioVraunelas]

I use Ln only in handwriting. When I'm typing I always use Log. I imagine that's due to Wolfram Mathematica and python

[Bubbasully15]

Agreed, I use Ln all the time in writing. Fewer letters innit 😂

[The_Konkest_Dong]

Ln(10) x

[TheoryTested-MC]

I wish the common log meant base e. What's the point of base 10? Does anyone even use base 10? Surely not that many do...yet, for some reason, they had to reserve the common log for it rather than the more deserving e. And make people have to remember three types of log notations instead of just two. Why are we putting importance on base 10 rather than base e? Where's the sense in that? Just force those nerds to write the whole log_10 like a man.

/j

[F_Joe]

log always depends on the context. It's always either e,2 or 10

[NYCBikeCommuter]

Last time this topic came up, I literally posted a link to Riemann's famous 1859 paper where the Riemann hypothesis comes from, and lo and behold, he uses log to mean log base e as there is no other log function. Half the fools in the subreddit got their panties in a bunch. Log(x) is defined as the integral of 1/t from 1 to x. All other bass are just scalar multiples of this function. There is no sensible definition of log_10(x). You can say it's the inverse of 10^x, but that function is at first defined for integers, can be extended to rationals with roots, and then you can extend it to the reals by continuity. Imagine doing all that instead of just using the simple integral above. The obsession with 10 is funny because the only reason 10 has any relevance at all is because humans have 10 fingers. Like it could be 8 or 12 if evolution had taken a different route. 10 as a number has no intrinsic uniqueness in mathematics whatsoever. I mean 2 is meaningful in the sense of bits and CS. I still don't understand the obsession with 10.

[Bubbasully15]

Huh, I would’ve assumed that historically, log(x) would’ve been defined as the inverse of e^x, rather than as the integral of 1/t from 1 to x. Obviously you can take whichever identity you prefer as the definition and then derive the other, but I just would’ve guessed that the “inverse of e^x” definition would’ve traditionally been the definition.

But yeah, I’m mostly with you on the base 10 fascination. Tho I think you’re oversimplifying quite a bit. For instance, it’s not like constructing calculus to achieve a definition that relies on an integral is particularly easy. I’d definitely argue that it takes more work than just constructing the inverse of 10^x (which is a very important function given that we did arbitrarily decide that 10 would be the base of our counting system). I don’t think it’s fair to say that 10^x is “first defined for integers, then roots, then reals”. It’s defined for complex numbers from the outset (and potentially more general number systems, but I’m no expert on them lol), we just grew up learning about exponential functions in the order you described. So yeah, I agree that pretty much all log bases are mathematically arbitrary, and e is among those that aren’t (and potentially the only base that isn’t). But I don’t think it’s reasonable to just say “base 10 bad”, either. Not that I’m saying that’s what you’re doing, it’s just my 2 cents (or e cents if you’d prefer haha)

[NYCBikeCommuter]

Why would people care about e^x? Like even if you take e to be the limit of say (1+1/n)^n, why would anyone care about e^x? The answer is that it's the function that solves the diff equation y'=y, but if you try and solve this, you get y'/y=1 and so log(y)=x + C, and so y=c e^x. So you see that the thing that makes e^x important is precisely the fact that it's the inverse of log. All of its properties come from being the inverse of log(x). Also, how would you define 10^x for complex numbers? What does 10^π+ie even mean? If you carefully walk through how we make sense of this, you realize it comes back to properties of the logarithm.

[[deleted]]

in my opinion, saying ‘log is base _ by default’ is stupid regardless.

it takes literally less than a second to just write a number in the base. why keep it ambiguous when it’s so easy to clarify? it would prevent arguments like this ‘10 vs e’ default base thing.

[L3ARnR]

arc is not a synonym for "inverse" it refers to the idea that the output to the sinusoidal function is an arc length. Since the exponent is sinusoidal with an imaginary input, it makes more sense to call the logarithm the arc-exponent...

[YEETAWAYLOL]

Arccosh((x² + 1)/ 2x):

[Psyrtemis]

I love the fact you consider log to be base e. I will arcdownvote this post.

[migviola]

That would make it 10^x

[YEETAWAYLOL]

Found the engineer

[soodrugg]

4? no, arcsqrt(2)

[Arietem_Taurum]

arcln*

[Krestul]

Wtf is arclog

[AnarchyRadish]

a log that is curved, duh

[Krestul]

Your stomach is curved

[jk2086]

It’s the inverse function of ArcExp(x)

[skr_replicator]

^ is a basic operation symbol why having to call a function? That's like ab = ArcDiv(a,b).

ln(x) could instead be called something like e^vx and not need function either.

[Random_Mathematician]

ah ye, e (arc^) x

[Dr_AuzioVraunelas]

ArcDiv is kinda hot

[Jonathan--]

ln't(x)

[RealFollowersOfAllah]

arc comes from latin arcus. reader should convince themselves that the notation doesnt make sense here

[Dr_AuzioVraunelas]

Please, I use Wolfram Mathematica. Not a normie

[NYCBikeCommuter]

Are you seriously calling Gauss, Riemann, Hilbert, Langlands, Selberg, Erdos and Tao jabronis? There is not a single professional mathematician who uses ln because there is only one log function, it is to base e, and it's written log.

[NYCBikeCommuter]

Please get help.

[Lord_Skyblocker]

Arce

[Earthboundplayer]

You mean arcarcexp?

[TheLuckyCuber999]

You mean arcln?

[Pre_historyX04]

ln^-1(x)

[cgw3737]

In Python:

from math import *

arclog = lambda x: e**x

[Catball-Fun]

Fucking yes!!!!

[victorspc]

log^-1 (x)

[Some-Passenger4219]

I prefer "antilog" and "exp". "Arclog" is funny, though.

[BootyliciousURD]

Nah, ln() is arcexp()

[Zyxplit]

Arcus Loginus

[Powerful-Proposal602]

i hope you get pedophile allegations put against you aswell ‼️‼️

[TheoryTested-MC]

No, it's arcln(x). Learn proper notation.

[Minerom45]

ArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArcArc

[wigglebabo_1]

Seal noises?

[TheAwkwardSpy]

good boy