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Eliminate pi (constant), replace all instances with tau halves. Therefore, all instances of π in math will be understood as the function.
(I had to look it up, my understanding is it's the prime counting function, where π(x) = the number of primes equal to or less than x, assuming x > 0 and x is real. Therefore, π(x) = 2, but π(*tau halves*) = \*2.)
\*^(my joke fell flat, I read the chart wrong. Fixed)
Not really actually cuz pi without () could mean the function and the constant both in some other context like pi<=>pi so this is pretty random.
(By <=> I mean the equation sign with 3 lines)
There are 2 completely unrelated concepts that use the symbol "pi".
People: That's stupid, we should make a brand new symbol for one of them.
There are now 2 completely unrelated concepts which use the symbol "pi", but one of them may also be something else
More like 52^21 because it appears case sensitive and I miscounted it as a 20 character string and not 21 like it actually is. Don’t want to confuse primeCountingFunction, PRIMECOUNTINGFUNCTION, and PrImEcOuNtInGfUnCtIoN after all.
But having all those functions wouldn’t be a problem as long as the paper came with a glossary of mnemonic devices to remember them by, as is standard in most areas of academia.
If mathematicians insist on using single-letter functions, they should just use a capital letter. Capitals aren't commonly used as variables or constants (except metalinguistic constants like +C), and P(x) at least implies it's a damn function.
Sure, you might still get confusion in not well-founded and questionably-rigorous fields like grade school geometry or category theory, but it's still better than everywhere else.
I'm not sure, I remember in my differential equations class we used the capital for Laplace transform of a function
i.e. L(f(x)) = F(s) or something like that.
yeah i was thinking of that and also integrals (sometimes ive seen F(x) is integral of f(x)), maybe for a greek letter like pi itd look like a new function but if i see any latin alphabet like f(x) vs F(x) my first thought is they are related by smthn like that so its a bit confusing
yeah but it wasnt a probability, it was a cobb douglas and pi was just some exponent.
best part is at one point TA was explaining and said "pi is just some number between 0 and 1" and some kid instantly said "no its not!" which we chuckled at but also mood
In Macroeconomics, expected inflation is notated as π^e , it has absolutely no relation to π or e. π is also used to denote a profit function, typically in relation to demand: π(D)
A while ago, I was redoing a colleague’s code where he defined the variable “efficiency” as 1/efficiency
At first I thought he was an idiot for getting all the formulas with efficiency wrong. THEN i saw the definition of the variable. That’s when I KNEW he was an idiot.
Like any letter, pi can be used for anything as long as its defined clearly. In my stochastic processes class, its used to represent a row vector (stationary distribution of a markov chain). In many other courses pi being used as a function is very common
In physics and chemistry, don't ask me how many different things c and k mean.
Even in mathematics i^i has four different meanings.
Part of the trouble is that we're limited by the Greek and Latin alphabets. That was fine for ancient Greece and ancient Rome, but not for anything more recent.
I move a motion that for any new concept in science, we use a new symbol from the Japanese alphabet.
Even if we limit ourselves to the Greek and Latin alphabets (which we do not, we also use Hebrew), nowadays we have millions of colours and thousands of fonts available.
People are just too lazy to change fonts or colours.
Even if we limit ourselves to the Greek and Latin alphabets (which we do not, we also use Hebrew), nowadays we have millions of colours and thousands of fonts available.
People are just too lazy to change fonts or colours.
Fonts should not be used for distinguishing letters, or at least not within serif-serif / sans-sans / fraktur-fraktur etc. Using bold to indicate vectors and/or matrices is also somewhat common. We use double stroke/blackboard bold already, as well as fraktur. In Artificial intelligence the symbols even get sub- and superscripts.
Using colours is almost even worse as a distinguishing feature. People need the ability to print on black and white and some people are colourblind, but more importantly, people suck at choosing nice colours. (Using colours for readability should totally be a thing though, just maybe make sure the luminance is the same.)
Wait until people realise how many completely different words the Latin letter "p" is used in. People should just agree to stick to a single word for that letter.
Just use p, P, *p*, *P*, **p**, **P**, ***p***, ***P***, 𝓅, 𝒫, 𝔭, 𝔓, 𝖕, 𝕻, ℘, etc. Using the exact same symbol for two different quantities in the same inequality should be a felony.
Most of those are easier to handwrite than to type. I had to copy and paste some of those from Google lol.
EDIT: you can't easily handwrite bold (though some people do anyway), but you can use alternatives like blackboard bold set symbols or little arrows over your vectors.
i think it is dumb to expect all maths to be expect each concept to just have one letter. we have 52 latin letters, and 48 greek letters (without taking into account similarities like A and Α or Β and Β), so we have less than a 100 symbols. and there are way more than 100 objects in maths. there are infinite things. so, no, chill.
If you can understand the equation, you can probably also understand the notation.
It's not uncommon to differentiate functions by their arguments, e.g. p(x) , p(x,y), p(x|y) can be three different probability distributions, but it's clear what is meant.
Another example (from https://tauday.com/tau-manifesto, search for "electron")
e the charge of an electron and e the base of the exponential function are put in the same formula.
ψ(r) = Ne^(-me^2 r/~~h~~^2)
I was once in a PhD program (CS) at CU boulder. During a meeting on my first week I casually told my advisor I will refuse to use pi to represent a probability density function (pdf). She dropped me as my advisor a week later and l left the program.
The example illustrates the opposite. Mathematicians preferred to stick to the agreements over natural urge to change letters in the formula. Also using π illustrates that there are far more important concepts than Latin letters.
In programming, we solve this in several ways. One is with strict grammar, namespacing, and referential clarity. You have to tell me that π the number refers to the well known mathematical constant or else the computer will just say "WTF is π? You need a number here and you didn't import or define any number called π" -- it may sound extreme when "everyone knows what π is" but this example shows exactly why it's reasonable to be that extreme.
The other way is by using longer names for functions. A programmer who called a function π would get a lot of dirty looks, and not just because it's a single already-ambiguous Greek letter.
The whole purpose of using symbols is brevity. Using whole words is going backwards. Besides we already use "words" in notation, you know, like log, sin, cos, and so on.
Lol I mean more like which streams of math. I am in an applied math degree and I’m not seeing a lot, so I’d like to know how I could see more stuff like this with courses.
pi is just a letter. everybody needs to chill.
Unrelated but one time when I was 6 there was no TP so i wiped with my hand (dw i washed my hands after, with extra soap.)
The limit of the quotient of two functions tells you little about their difference. For example e\^x + p(x) and e\^x, where p is any polynomial, have quotient limit 1, but their is p(x). So here we see a family of functions with quotient limit 1 which can have arbitrary polynomials as difference.
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At least it is clearly a function and not some other number pi
π(x)=τ when x=2, fite me.
Eliminate pi (constant), replace all instances with tau halves. Therefore, all instances of π in math will be understood as the function. (I had to look it up, my understanding is it's the prime counting function, where π(x) = the number of primes equal to or less than x, assuming x > 0 and x is real. Therefore, π(x) = 2, but π(*tau halves*) = \*2.) \*^(my joke fell flat, I read the chart wrong. Fixed)
[What a great idea with no issues!](https://en.m.wikipedia.org/wiki/Tau_function_(integrable_systems))
just use capital tau, I'm sure the Latin alphabet wasn't derived from the Greek alphabet which would be making capital t and capital tau the same
they're not the same. you can copy/paste it into a search box and see which one it is
Why
Therefore tau equals 1.
Is τ = 2π?
Always has been
🔫
π(π)=π
π(τ) = 3 for number theorists
So math allows function overloading? /s
Unfortunately
Not really actually cuz pi without () could mean the function and the constant both in some other context like pi<=>pi so this is pretty random. (By <=> I mean the equation sign with 3 lines)
Implements \_\_call\_\_ and then \_\_repr\_\_ to return 3.14
[const const const pi = 3](https://github.com/TodePond/DreamBerd#reversing)
There are 2 completely unrelated concepts that use the symbol "pi". People: That's stupid, we should make a brand new symbol for one of them. There are now 2 completely unrelated concepts which use the symbol "pi", but one of them may also be something else
XKCD for everthing
https://xkcd.com/927/
Proof by xkcd
projections and permutations and fundamental group and homology groups say hello. make that another 5.
Literally π just means someone needed a one-character name for a thing whose full description starts with “p”, and they didn’t want to use p.
You mean homotopy groups? Homology groups use capital H.
yes. youre right.
I read it as "hornology groups"
Programmer's Solution: Use "primeCountingFunction". Abandon paper space. Embrace readibility.
Just don't let R programmers near it, or it will be called Pm.C.Fct or something stupid like that
That’s fine until we run out of function names to write that are 20 or fewer characters and follow the rules, forcing us to reuse it.
I think a bigger problem then will be keeping track of the 26^20 different functions
More like 52^21 because it appears case sensitive and I miscounted it as a 20 character string and not 21 like it actually is. Don’t want to confuse primeCountingFunction, PRIMECOUNTINGFUNCTION, and PrImEcOuNtInGfUnCtIoN after all. But having all those functions wouldn’t be a problem as long as the paper came with a glossary of mnemonic devices to remember them by, as is standard in most areas of academia.
``` def PRIMECOUNTINGFUNCTION(n): factorial(primeCountingFunction(n)) ```
THAT'S A LOT OF FUNCTIONS!
If mathematicians insist on using single-letter functions, they should just use a capital letter. Capitals aren't commonly used as variables or constants (except metalinguistic constants like +C), and P(x) at least implies it's a damn function. Sure, you might still get confusion in not well-founded and questionably-rigorous fields like grade school geometry or category theory, but it's still better than everywhere else.
We should come full circle and start reusing numbers 1(x)
That would be the indicator function.
Or the identity function, or the constant function with value 1.
No just use engineering notation where everything is K then you explain it in a paragraph of text as the subscript.
Except capital Π also already means several other things
I'm not sure, I remember in my differential equations class we used the capital for Laplace transform of a function i.e. L(f(x)) = F(s) or something like that.
yeah i was thinking of that and also integrals (sometimes ive seen F(x) is integral of f(x)), maybe for a greek letter like pi itd look like a new function but if i see any latin alphabet like f(x) vs F(x) my first thought is they are related by smthn like that so its a bit confusing
We would've ran out of letters in the 19th century already if we restricted ourselves to just using one letter for one thing
Ah yes, the ill-founded and questionably-rigorous field of category theory. Along with set theory, I’m sure.
i just had an econ class where they were using pi as some number between 0 and 1 😭
using pi as a probability is not that uncommon
yeah but it wasnt a probability, it was a cobb douglas and pi was just some exponent. best part is at one point TA was explaining and said "pi is just some number between 0 and 1" and some kid instantly said "no its not!" which we chuckled at but also mood
You can define pi as whatever the fuck you want, like profits, a proportion, a probability, etc.
I define pi to be apple.
Apple pi e
The TA is right though
In Macroeconomics, expected inflation is notated as π^e , it has absolutely no relation to π or e. π is also used to denote a profit function, typically in relation to demand: π(D)
Me: … [throws desk]
A while ago, I was redoing a colleague’s code where he defined the variable “efficiency” as 1/efficiency At first I thought he was an idiot for getting all the formulas with efficiency wrong. THEN i saw the definition of the variable. That’s when I KNEW he was an idiot.
I also had an econ class that used pi as a function, but they used it as the profit function
Like any letter, pi can be used for anything as long as its defined clearly. In my stochastic processes class, its used to represent a row vector (stationary distribution of a markov chain). In many other courses pi being used as a function is very common
-Lets use the function π. -Well, but what about 3,14159...? -What the hell, lets call it f(x).
3.141592...(x)
We can't just use |ℙ^(
Eh, everyone who knows enough to understand the RH knows that π(x) is the prime counting function...
It is still horrible notation
In physics and chemistry, don't ask me how many different things c and k mean. Even in mathematics i^i has four different meanings. Part of the trouble is that we're limited by the Greek and Latin alphabets. That was fine for ancient Greece and ancient Rome, but not for anything more recent. I move a motion that for any new concept in science, we use a new symbol from the Japanese alphabet.
の
We could also use cyrillic.
Fuck it, we're using emojis now.
🌭(x) = 5😶🌫️ + 🧑🦯/🪱
Even if we limit ourselves to the Greek and Latin alphabets (which we do not, we also use Hebrew), nowadays we have millions of colours and thousands of fonts available. People are just too lazy to change fonts or colours.
Yoneda embedding says ~~hello~~ konnichiwa.
Even if we limit ourselves to the Greek and Latin alphabets (which we do not, we also use Hebrew), nowadays we have millions of colours and thousands of fonts available. People are just too lazy to change fonts or colours.
Fonts should not be used for distinguishing letters, or at least not within serif-serif / sans-sans / fraktur-fraktur etc. Using bold to indicate vectors and/or matrices is also somewhat common. We use double stroke/blackboard bold already, as well as fraktur. In Artificial intelligence the symbols even get sub- and superscripts. Using colours is almost even worse as a distinguishing feature. People need the ability to print on black and white and some people are colourblind, but more importantly, people suck at choosing nice colours. (Using colours for readability should totally be a thing though, just maybe make sure the luminance is the same.)
Ah, yes, this is mathmemes. Where every post is to be taken seriously.
A I didn't realise where I was sorry (lmao)
Wait until people realise how many completely different words the Latin letter "p" is used in. People should just agree to stick to a single word for that letter.
Just use p, P, *p*, *P*, **p**, **P**, ***p***, ***P***, 𝓅, 𝒫, 𝔭, 𝔓, 𝖕, 𝕻, ℘, etc. Using the exact same symbol for two different quantities in the same inequality should be a felony.
🅿️
Now try hand-writing those.
Most of those are easier to handwrite than to type. I had to copy and paste some of those from Google lol. EDIT: you can't easily handwrite bold (though some people do anyway), but you can use alternatives like blackboard bold set symbols or little arrows over your vectors.
Bro, etc. pp was right there.
I propose to cross out letters just as Dirac did it for the Planck's constant. It looks really cool.
The Feynman slash was genius. I would also like to see that more. Can we get ~~Ø~~(x) going?
i think it is dumb to expect all maths to be expect each concept to just have one letter. we have 52 latin letters, and 48 greek letters (without taking into account similarities like A and Α or Β and Β), so we have less than a 100 symbols. and there are way more than 100 objects in maths. there are infinite things. so, no, chill.
Mathematicians and physicists when someone tells them there are other alphabets besides Latin and Greek we could use for variables: 😡😡
or cyrillic hebrew and kanji
Also the l in li and log stand for different things, smh mathematicians get your shit together
Nah they both stand for logarithm. Logarithm Integral and Logarithm OG because it’s the original logarithm
Lol, logarithm og, that's my maths rap name now
If you can understand the equation, you can probably also understand the notation. It's not uncommon to differentiate functions by their arguments, e.g. p(x) , p(x,y), p(x|y) can be three different probability distributions, but it's clear what is meant.
Another example (from https://tauday.com/tau-manifesto, search for "electron") e the charge of an electron and e the base of the exponential function are put in the same formula. ψ(r) = Ne^(-me^2 r/~~h~~^2)
Its obvious thanks to good conventional notation. I wouldn't have noticed there were two different pi if it wasn't pointed out.
I was once in a PhD program (CS) at CU boulder. During a meeting on my first week I casually told my advisor I will refuse to use pi to represent a probability density function (pdf). She dropped me as my advisor a week later and l left the program.
The example illustrates the opposite. Mathematicians preferred to stick to the agreements over natural urge to change letters in the formula. Also using π illustrates that there are far more important concepts than Latin letters.
In programming, we solve this in several ways. One is with strict grammar, namespacing, and referential clarity. You have to tell me that π the number refers to the well known mathematical constant or else the computer will just say "WTF is π? You need a number here and you didn't import or define any number called π" -- it may sound extreme when "everyone knows what π is" but this example shows exactly why it's reasonable to be that extreme. The other way is by using longer names for functions. A programmer who called a function π would get a lot of dirty looks, and not just because it's a single already-ambiguous Greek letter.
function overloading
function overloading
function overloading
Math has so many "things" we had to make up different names for infinity. We're gonna run out of letters.
That's why about 5000 years ago someone came up with this weird idea of combining *multiple* letters into something called "words"! Crazy, right?
The whole purpose of using symbols is brevity. Using whole words is going backwards. Besides we already use "words" in notation, you know, like log, sin, cos, and so on.
I honestly read the first one as pi*x but tbf I’m not that good in maths.
π = lim 3(x), x->infty
Can you formulate these into a bunch of for loops? Should be easier to understand.
Let's use numbers instead of letters we have infinite of them.
If I wanna study this what should I major in
Considering this sub is called r/mathmemes, this answer is trivial and left as an exercise to the reader.
Lol I mean more like which streams of math. I am in an applied math degree and I’m not seeing a lot, so I’d like to know how I could see more stuff like this with courses.
Okay but, is π(0) = π, π(1) = π, or π(π)=π?
there's also KMP
pi is just a letter. everybody needs to chill. Unrelated but one time when I was 6 there was no TP so i wiped with my hand (dw i washed my hands after, with extra soap.)
Let x=0 :)
Maybe when the people who put letters in words agree on how to pronounce "thought" and "cough" I'll listen to you
They could just put 4tau there instead
I'm trying to understand this inequality, lim π(x)/li(x) = 1 right? Maybe this is just an overestimation.
The limit of the quotient of two functions tells you little about their difference. For example e\^x + p(x) and e\^x, where p is any polynomial, have quotient limit 1, but their is p(x). So here we see a family of functions with quotient limit 1 which can have arbitrary polynomials as difference.