Common math functions tier list These are the ones most people use and are not the dumb math major functions.
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@h4lplays9323 ай бұрын
y = e^x is the goat im glad we can all agree
@canyoupoop3 ай бұрын
Bro just _built_ like that
@UndercoverDog3 ай бұрын
Yes
@ishansh00773 ай бұрын
The real goat is y= e^-(x)^2
@helatard42723 ай бұрын
E is just the goat of math in general
@Lothane953 ай бұрын
The goat of all eigenvectors.
@canyoupoop3 ай бұрын
constant functions: S tier
@Goaw25513 ай бұрын
all constant functions are linear functions, so yes
@ErdemtugsC3 ай бұрын
Constant is like y or x = num
@yudoball3 ай бұрын
Always has been
@gubblfisch3503 ай бұрын
@@Goaw2551 But also a polynomial function which is in A tier. Just because your function is a special csse of another one in the list doesn't say anything about it's rating. Cubic functions are also polynomial functions and rightfully ranked very low
@ianweckhorst32003 ай бұрын
But which constant is important, they’re only really good if they don’t show up on the number line
@hanchen2673 ай бұрын
2:21 of the professor says the exam is 1 question, then the class *SHOULDNT* be cheering
@Destroyer011053 ай бұрын
I would be terrified
@xanmiddents62072 ай бұрын
better than a T/F advanced calc final
@Assadul-Naml2 ай бұрын
Its the school equivalent to the scene of Star Wars when the Death Star pulls up to YavinIV
@joseph_soseph9611Ай бұрын
The example integral he showed would have broken my spirit. I don't think integration through brute force would be possible in ninety minutes for most students. Except if you're lucky and find the right substitutions first try.
@andydf_Ай бұрын
same when he says that you will have an exam that if you don't score 100% you have to do it again and get a detention if you fail again until you get it right... pure pain
@ianweckhorst32003 ай бұрын
4:21 trig is both a blessing and a curse
@user-zg2th7fo9q3 ай бұрын
Bro just saied nothing
@kanorune3 ай бұрын
They cancel like x/x
@nothingbutpain8632 ай бұрын
I abhor Trigonometry x Mathematical Induction crossover. I can't even prove P(1) is true with all the convoluted trigonometric conversion.
@antagonisticalex40125 күн бұрын
Yeah thats fair @@nothingbutpain863
@Mandq.3 ай бұрын
i never in my life though i would see functions tier list
@shivkumar08103 ай бұрын
Yet here it is. The function waited for us to get pain acknowledged by us
@ProactiveYellow3 ай бұрын
Logarithms are S tier. Literally make huge multiplications into puny additions.
@quinten36283 ай бұрын
Whole vid is spot on except logarithm which is straight S
@staticnullhazard69663 ай бұрын
As an engineer I totally agree with the S Tier choices. However, logarithm definitely scores higher than x^2.
@Kiv_rin3 ай бұрын
I agree. I feel like logarithms should be A or S tier
@nicolasreinaldet7323 ай бұрын
As a physics I might add that everything Is a sprin mass system and spring mass systens are made with the x^2 function.
@staticnullhazard69663 ай бұрын
@@nicolasreinaldet732 Correct if you Use Lagrangian/Hamiltonian Approaches. But with Newton Mechanics you have no squares. Please correct me if I am wrong.
@3snoW_3 ай бұрын
They deserve to be on the same tier. Parabolas are awesome, the fact that they reflect to a single point (why we use parabolic antennas), the fact that they are one of the conic curves and so much more. X^2 is definitely A tier material. But so is log(x), the fact that they convert products into adding is by itself worthy of A tier.
@nicolasreinaldet7323 ай бұрын
@@staticnullhazard6966 It will be my pleasure to interact with you on this, altought not directly correct you. Sorry for the english It Is my second language and I am still working on my speeling. Yes indead your statement Is correct, the problem Is that Newtonian mechanics Is quite a lot more limited than Its 2 equivalents. Here are the list of advantages of the other 2: Thermodinamics, and the very little Introduction to statistical mechanics I do know, are very dependent on analysing the energy function of Isolated systems and thuss are much more cosely linked to hamiltonians ( there Is even a theorem about how x^2 terms In the energy function contributed all equaly to the average energy In a linear maner for classical estatistical mechanics ). Classical ( and also quantum ) field theory Is build upon Hamiltonian and Lagrangian mechanics, and so If you want to understand complex Interactions between a atoms and light you will be using hamiltonian and lagrangian mechanics, maybe there Is a way to do field theory from newton but from my superficial contact with the area It Is always introduced with hamiltonians and lagrangians. Quantum theory foundations are entirely hamiltonian and them when you get to quantum fields you get a lagrangian option, never a newtonian analog. I am still a undergraduate so I tried my best to only speak when I knew enought about the subject, but I can also think of a few more concepts of analytical mechanics that I belive to have a better treatment using lagrangian and hamiltonian mechanics like finding conserved quantities or how the hamiltonian perturbation theory Is a more formal and cokie cut way to aproximate solutions for systems where you have a big solvable part and a smaller un-solvable perturbation. But over thosse I do not know exactly how my observations would be correct because I am still going to take analytical mechanics next semester.
@andredecastro58983 ай бұрын
glad you choose not to trigger every engineering grad PTSD with Heaviside and Dirac functions
@forthehomies70433 ай бұрын
Why did the Dirac function fail it’s driving test? It couldn’t stay within the limits. 😎
@themachine93663 ай бұрын
I think those are classified as distributions, they are not well-defined functions.
@nariTheLoveableWorm3 ай бұрын
@@forthehomies7043 ahh yes the dad jokes that are actually funny
@methatis30133 ай бұрын
Isn't the Heaviside function just a shifted sgn?
@toxic_narcissist3 ай бұрын
@@themachine9366 Heaviside is a perfectly defined function, one of the simplest ones
@MemeAnt3 ай бұрын
I need more math shitposting in my life
@albireothestarthebacklight29903 ай бұрын
same fam
@tanishkchaudharyАй бұрын
Okbuddyphd
@megablademe49303 ай бұрын
The goat e^x every engineer’s favorite because you never have to calculate it, just leave it as is.
@jimmy_43 ай бұрын
"BEAT HERE" 💀
@icelick69123 ай бұрын
S tier - simple functions B tier - Borel measurable C tier - Riemann integrable D tier - Lebesgue integrable F tier - the rest
@probasteelchiquitoahorapro14903 ай бұрын
🤓
@David280GG3 ай бұрын
@@probasteelchiquitoahorapro1490🤡
@epicmarschmallow50493 ай бұрын
It's been a while since I've brushed up on my measure theory, but S, B and C are all lebesgue integregrable aren't they? So they're also in D
@btf_flotsam4783 ай бұрын
A-tier: Analytic/smooth functions (depending on personal taste) (Also, all tiers implicitly exclude the previous tier.
@carrabian3 ай бұрын
where tf a functions
@bluefur3 ай бұрын
“BEAT HERE”
@Itual3 ай бұрын
for whatever reason my mental image of the e^x function is a chill looking dude with sunglasses smoking a massive blunt
@maxpopkov14323 ай бұрын
Non-elementary functions:
@user-ct1iv9dq1b3 ай бұрын
S tier
@tiktik94133 ай бұрын
@@user-ct1iv9dq1b😮😮😮
@antagonisticalex40125 күн бұрын
S Tier for basically the same reason as Complex Numbers. Just built like that and I respect it.
@lakilopis70813 ай бұрын
Bro made cubic dirty, it could just be a part of the polinomial equations
@fireblazenotbulgaria30533 ай бұрын
Cirno do you do well in Math class
@a_soulspark3 ай бұрын
@@fireblazenotbulgaria3053that's Aqua in their pfp but they're both dummies and related to water so you get a pass
@Sammy-qt9it3 ай бұрын
At least they have a closed form for roots
@bruh-yd8dn3 ай бұрын
cause cubic functions are in general useless. at least high degree polinomial can be used to approximate functions
@julliette80232 ай бұрын
As a math teacher, I laughed when you said peice wise are only used for teaching limits Becuase that’s the truest thing I’ve ever heard 😭💀
@kanorune3 ай бұрын
This is the kind of nerd content I'm glad to see in my recommendations, thank you
@Shinchan-xt4pb3 ай бұрын
Complex numbers: 🗿
@josephblattert63113 ай бұрын
Logarithmic functions not being s tier is an absolute crime.
@hello-rq8kf3 ай бұрын
3:35 missed opportunity for literally any domain expansion meme
@magma903 ай бұрын
Analytic functions are A Tier or S tier, also sin and cos are linear combinations of e^{ix} and are so much easier to deal with once you realise this fact.
@Kcl-Integrator293 ай бұрын
I did complex numbers for like a week in linear algebra so I didn't really get to work with them that much. What other classes would you use e^{ix} in?
@gustavjacobsson33323 ай бұрын
@@Kcl-Integrator29 It's pretty common when solving second order differential equations, as when you get complex roots for the charecteristic polynomial, complex exponentials becomes the answer. As for when that happens in physics, is basically any time you have a oscillatory or wave like system.
@reedoken61433 ай бұрын
analytic and numeric solutions to PDEs. fourier transform
@mistafizz51953 ай бұрын
@@Kcl-Integrator29 complex analysis
@ChaosKnight_1003 ай бұрын
@@Kcl-Integrator29 They show up in electromagnetic waves, quantum physics and computing, and for electrical engineering when finding power(The real part of the complex power at any given moment is it’s instantaneous power) using the phasor transformation.
@Foxxey3 ай бұрын
Rational functions with no asymptotes are S tier too ngl.
@Foxxey3 ай бұрын
*no vertical asymptotes
@theblinkingbrownie46543 ай бұрын
Arent they just polynomials then
@Foxxey3 ай бұрын
@@theblinkingbrownie4654 No they aren't. For example f(x)=(x^4+1)/(x^2+1) is defined everywhere, thus no vertical asymptotes (for rational functions vertical asymptotes always come with undefined points at that place e.g. x/(x-1) at 1). In fact the provided f(x) doesn't have horizontal nor oblique asymptotes either since lim x->±inf of f'(x) doesn't equal 0 nor any other constant value. As far as I can tell, this is enough to show, that one particular rational function has no asymptotes. Thus you are incorrect.
@theblinkingbrownie46543 ай бұрын
@@Foxxey oh right i forgot that the denominator can have no real roots lol
@pnintetr3 ай бұрын
Good luck with arctangent lol
@jesseli6622 ай бұрын
My tier list (with some functions added) S: Linear, e^x A: Quadratic, Logarithm, Trigonometric, Gaussian (Bell Curve) Distribution B: Polynomial, 1/x, Gamma Function (Extension of Factorial) C: Square Root, Absolute Value, Inverse Trig D: Cubic, Rational Function, n-th Root, Floor/Ceiling F: Piecewise, Hyperbolic Trig Placements based on usefulness and simplicity
@Noobprokermit3 ай бұрын
Engineers watching this video: 🥳 High school students:
@David280GG3 ай бұрын
My teacher letted us use calculator in the exam and i discovered by myself how to calculate the opposite of a trig
@maxpopkov14323 ай бұрын
Non-elementary functions S+ infinity
@qbert86953 ай бұрын
Non-quadrature functions: SS+ tier 💀
@ywangato34493 ай бұрын
The first tier list I 100% wholeheartedly agree with. Good job!
@ericknutson83103 ай бұрын
the partial derivitive. Awesome going forward. A nightmare undoing them
@thegoofiestgoooberr3 ай бұрын
that’s an operator, not a function
@NotBroihon3 ай бұрын
@@thegoofiestgoooberrur mom is an operator and not a function
@extreme41803 ай бұрын
@@NotBroihon T_T why u bully him?
@NotBroihon3 ай бұрын
@@extreme4180 because im evil 😈😈😈
@hawkohakker16363 ай бұрын
@@thegoofiestgoooberran operator is definitionally a function
@user-ks8bs8hv8s3 ай бұрын
He put logarithms in B tier and thought we wouldn't notice.
@syrex67633 ай бұрын
we have math function tier list before GTA 6 lol
@Fire_Axus3 ай бұрын
I was subconsciously waiting for this!
@nadie87673 ай бұрын
As a person more interested in human sciences, i think this is very cool finally knowing the applications of what some day i called "abstract bs".
@mrosskne3 ай бұрын
you can't perform any kind of science without understanding data, which requires math.
@SomeAndrian3 ай бұрын
No, you don't know the applications of what you call "abstract bs" I doubt you have the capacity
@nadie87673 ай бұрын
@@SomeAndrianFirst, i don't call this abstract bullshit anymore, because the video explains it perfectly and now i know the value. Second, idk if i have or not the capacity of the aplication of maths before being in a material space were you can aply this knowledge. That is the difference of learn math in school from math in a place where you have an interest/objetives, like workplaces or field research. Third, "I doubt you have the capacity". No intention of making a personal attack, but if something is bullshit, is this fretful attitude. Not only is it a personal attack (quite cheap to be honest, come on, I'm not even attacking mathematics as an area of study), it is that it directly discourages the passion for knowing new things. Do us a favor and not replicate this in real life, *NOBODY* needs it.
@muralibhat87763 ай бұрын
@@SomeAndrian ok Terrence Tao
@SomeAndrian3 ай бұрын
@@muralibhat8776 Terrence Tao is doing mostly pure math. Thanks for playing
@mishtrong3 ай бұрын
I would bump trigonometrics up to S tier just because of Fourier transformation. They are huge in anything related to waves, which is almost everything.
@locinolacolino13023 ай бұрын
The Fourier transform is actually a type of Laplace transform which makes use of, you guessed it, e^ix. Which is already rightfully in S Tier.
@jayhunter73 ай бұрын
trig for sure the hardest thing for me to memorize but really rewarding
@akcdipro10363 ай бұрын
As a wannabe engineer who has his eng school admission exams this week, this should help with the integral area problem questions
@bird51192 ай бұрын
You did logarithms dirty - they're so important in engineering and are like e^x's twin
@johnthecrouton3 ай бұрын
half angle indentities
@bananacorn43752 ай бұрын
probably the tier list i most agree with. Piercewise may be dumb, you only need one, but they are really good at explaining limits and discontinuities
@otty40003 ай бұрын
e^x is S+. not only is it cool af like u described but its super useful for casual real world problems
@otty40003 ай бұрын
also seems clear to me you have definitely encountered maths from an applied perspective. im chill with it but biased af
@user-hz8wr2kp4c3 ай бұрын
I never thought I'd enjoy this video as much as I did
@austinpittman15993 ай бұрын
Reciprocal can be cool for physics theory. Asymptotes can potentially be used for exploring black hole aspects, which is neat given that vertical asymptotes can correlate with "holes" that may represent where gravitational influence might be strong enough to create an event horizon on a 2-dimensional plane.
@pepsi-hf8fq3 ай бұрын
A good first math course list! Would love to the step function and the dirac function aswell. They are quite interesting.
@ChrisP9993 ай бұрын
The cubic function is easy to remember if you put effort. Really just a copy paste, sign switch, add the -b/3a at the end. But yeah to memorize it for the first time is daunting af
@aliwajeehuddin9553 ай бұрын
This is all very valid except logarithmic functions deserve a b tier and not a c tier
@Missingno732 ай бұрын
This is actually outstandingly correct tier list
@AnanyKumarRai3 ай бұрын
nah but i personally would put Rectangular hyperbolas in A tier or maybe even S , they can tell you so much about range of linear fractional functions.
@freshmaggot3 ай бұрын
Glad you’re a fellow trig appreciator. Good vid
@Xertus_YTАй бұрын
2:21 imagine having everything correct in the question but you forget to put the +C
@zdwlees3 ай бұрын
I was gonna say this tierlist was bad. But then I realised it is objectively correct. Have a good day.
@raynboy64483 ай бұрын
the best math video of the week for me
@rodericktaylor96393 ай бұрын
Calculus tier list
@Kcl-Integrator293 ай бұрын
U sub: S tier. Trig sub: F tier.
@canyoupoop3 ай бұрын
derivatives: S tier
@Gabriel_JudgeofHell3 ай бұрын
anti derivative: b tier
@jadekick2893 ай бұрын
@@Kcl-Integrator29trig sub is my favorite integration technique by far :(
@marcushletko82583 ай бұрын
This was basically a calc tier list
@Min0rSetАй бұрын
Honestly I kinda hate trigonometric functions because the amount of ways they can be transformed into one another just confuses me. Never know which one you're supposed to use and spend half the time trying to figure out what to do.
@olegchernysh83913 ай бұрын
2:50: +c
@railgun12583 ай бұрын
Here I am procrastinating on studying for my math exam by watching people rank math functions.
@thor.halsli3 ай бұрын
Rational: Please make the decision to ignore these functions when possible. That's a Smoove move indeed
@iwanacommentthatsall86699 күн бұрын
"Very beautiful, very powerful"
@TheRevAlokSingh3 ай бұрын
i remember rudin calls e^x ‘the most important function in mathematics’ (and therefore everything). euler formula really is a gem
@ezrachen89763 ай бұрын
This video might be based on a lot of personal grief, but it seems very fair
@hiden62022 ай бұрын
You know what is amazing about trigonometry func. once you achieve the eq. in cos or sin you will get very near to range
@rmv91943 ай бұрын
Logaritmic functions are S tier. You can use them for logaritmic derivation. Pretty cool properties. You can use It to adjust data to power and exponential functions with just a linear regression
@API-Beast3 ай бұрын
bro, cubic functions are the basis for cubic splines, which allow us approximate basically any continuous function to a degree that is virtually indistinguishable by the human eye, no way they are D tier.
@botjdjdjd3 ай бұрын
Good luck finding their factors
@API-Beast3 ай бұрын
@@botjdjdjdif you use a Catmull-Rom spline then the factors are implicit in the data points and very simple to compute, just increase number of points until the error is acceptable
@botjdjdjd3 ай бұрын
@@API-Beast I haven't read cubic functions at that level, i am a high school sophomore
@locinolacolino13023 ай бұрын
In the world of computing you can just use bezier curves or trilinear interpolation instead of cubic splines.
@r418r_2 ай бұрын
Trig and power functions must be at the S tier man you feel me :') without them there is no fourier transform or taylor expansion
@gamings36582 ай бұрын
imagine a calculus question with e^f(x) where f(x) is a function in x
@cpeir84602 ай бұрын
Therapist: ignore the intrusive thoughts *intrusive thoughts*
@mazmuz9873 ай бұрын
y=x : "Who are you? " y=x²/x : "I am you, but discontinued at 0" Edit: I guess it's working for all y=(x^n/x^(n-1)), n ≥ 2
@nariTheLoveableWorm3 ай бұрын
interesting ...
@melonenlord27233 ай бұрын
y=x³/x² entered chat
@mazmuz9873 ай бұрын
@@melonenlord2723 Don't bring the [y=(x^n/x^(n-1), n ≥ 2] family 💀
@melonenlord27233 ай бұрын
@@mazmuz987 x^(1/2) / x^(-1/2) 💀
@vaddokx3 ай бұрын
pretty solid tier list
@G4naD3 ай бұрын
Where my boy signum
@Gamer20023 ай бұрын
Very valid list, I agree
@RasberryPhi3 ай бұрын
You forgot gaussian distribution
@skarma96733 ай бұрын
I agree with almost everything 👍 Maybe 2 or 3 I would put a rank below or above, but I would have done the exact same tier list apart from those 👌
@cherryappleproductions58223 ай бұрын
Sending this to my Math Teacher
@mrdr49343 ай бұрын
You would think that you are done linear algebra in 9th grade, but nothing can prepare you for the horrors that wait post-secondary linear algebra.
@DrJamesMaths2 ай бұрын
Goated video 🔥
@casusbelli92258 күн бұрын
Fun fact. In Ex-USSR countries squeeze theorem is called "Two policemen theorem" because you need two policemen on the each side of the drunk to transport him into jail.
@abstracdai38733 ай бұрын
Babe wake up new math functions tierlist just dropped 🗣️🗣️🔥
@truenova159428 күн бұрын
Constant algebraic functions S+ tier
@varadchougule69553 ай бұрын
Very appropriate ranking I like it.
@usmanlone26433 ай бұрын
Bro you forgot +c for intergrating e^x 😂😂
@MoneyyMojo3 ай бұрын
could be talking about integration with limits
@usmanlone26433 ай бұрын
@@MoneyyMojo a lack of mention of limits applies he was not twlking about them. And even so, with limits the +c is still there just happens to cancel out
@Alex-ng1ts3 ай бұрын
Linear Function is the Goat 🗣🔥
@dyzphoriia3 ай бұрын
trig functions are s tier, super useful everywhere in physics and all kinds of other things
@Dom-qo9cf3 ай бұрын
You've managed to capture what we've subconsciously felt about these functions the entire time. I agree with almost everything, except for f(x) = 1/x. He's a nice little guy and should be higher.
@user-ls3zc3mz6g3 ай бұрын
This man really put the cubic function in D tier, 😂. WHO LET BRO COOK?!
@attoblaze33953 ай бұрын
Id say log in a tier cause theyre pretty cool with the whole turning multiplication into addition and division into subtraction and vice versa
@nablahnjr.67283 ай бұрын
engineer tier list with exp and linear functions in s tier moment
@lifelesssky78343 ай бұрын
I don't know why but I love it😂😂
@kaunghlamyatАй бұрын
Amazing video.
@fabiotiburzi3 ай бұрын
Logarithmic deserves s tier because of the slide rule
@ORANUSYT3 ай бұрын
Bro it's been 3 days since I touched my books bruh u made me wanna study math as a freaking nerd so much ...u made my day
@LaTortuePGM2 ай бұрын
0:08 "linear" "1/2 x + 8" you had one job
@akshatmodi8607Ай бұрын
That is a linear equation
@mashuchaАй бұрын
Thats linear
@LaTortuePGM7 күн бұрын
@akshatmodi8607 @@mashucha no, that's affine
@leocaers14083 ай бұрын
what about the infamous Heaviside function and delta function. They help a lot in solving SOME differential equations.
@talbotstites6116Ай бұрын
Trig fluctuates between S tier and F tier with great frequency
@itzmeB23 ай бұрын
The integrator said, nah I'd win
@FPNader3 ай бұрын
ok, this is the best tier list ever made
@isshintheguy417213 күн бұрын
Piecewise functions are really useful in transfer functions/systems and signals!
@dhjerth3 ай бұрын
I was game for this until my man basically put Bézier in D-tier
@DistortedV123 ай бұрын
Can you make content like this but relate it to linear algebra?
@Kcl-Integrator293 ай бұрын
Will do!
@Aeiwk3 ай бұрын
2:24 imagine doing all of that just to forget the + c (constant of integration)
@provian3 ай бұрын
yo is that a chris smooth reference what a throwback
@PxychoCaxon3 ай бұрын
what software did you use for text to speech? great video.
@Kcl-Integrator293 ай бұрын
I used elevenlabs Adam for this video
@PxychoCaxon3 ай бұрын
@@Kcl-Integrator29 thanks. keep making this type of content. we love it.
@jacobstarr90102 ай бұрын
Do one but with convergence tests
@CorpusVakarian3 ай бұрын
I am a sciences (physics) students, and piecewise functions can actually get pretty useful in both math and physics, both as an exercice (for things other than limits, such as convergence), and as a tool. That type of function is notably used as an example of not-Riemann-integrable functions