⚠️DISCLAIMER⚠️: This is not real audio/video of Taylor Swift or Elon Musk, they’re deep fakes made with ParrotAI (there’s a link in my bio if you want to make some yourself). Also comment if you got video/topic suggestions!!
Пікірлер: 305
@ivanarriola97883 ай бұрын
Taylor serie (taylor's version)
@Neonb883 ай бұрын
Underrated comment
@pabloasrin2113 ай бұрын
@@Neonb88obvious comment
@mariotabali2603Ай бұрын
@@pabloasrin211 Obvious yet necessary
@FromthedressIworeatmidnight4 ай бұрын
I am so... confused. How did this get recommended to me? Why did I watch it? Why are AI Elon and Swift explaining mathematics to me? Who is this man in the hoodie? How does this exist? .....This is so f**king chaotic and I love it.
@dinosor114 ай бұрын
Frrrr dude I thought it was smin else
@onlocklearning4 ай бұрын
ahahaha
@doxasticc4 ай бұрын
As a massive swiftie and physics nerd, this is exactly what I would expect to be in my recommended. Dunno what Elon is doing here though.
@TempoChannel53 ай бұрын
@@doxasticcelon mos and trailer swipt are married
@ElectricalStorm3 ай бұрын
@@doxasticc W I am a swiftie too
@SylviaSilberger4 ай бұрын
I am so sharing this with my Calc II students.
@macacopedreiro2143 ай бұрын
Coolest teacher ever
@arahmaneldesouki2 ай бұрын
W
@JC-xh8xe2 ай бұрын
Please do
@thinkandmove479Ай бұрын
Why? It is not a good explanation.
@medicineformelancholy90334 ай бұрын
This is the final form of math KZbin.
@tfg6013 ай бұрын
This is definitely not
@niks6600972 ай бұрын
more like final brainrot.
@clementpoon120Ай бұрын
as someone who is working on a sine function for a vintage processor this is genuinely useful
@AnirudhKokate3 ай бұрын
"nice simplification bruh" got me rollin
@beanedtea4 ай бұрын
How did you guys turn math into brainrot
@onlocklearning4 ай бұрын
getting ready for generation α 🔥
@jeremybasset90414 ай бұрын
One channel can turn math to brainrot?
@user-kx9dj9kc9u4 ай бұрын
You brainrot
@viral0998hj3 ай бұрын
Brainrot? This stuff is braingrow
@nanamacapagal83423 ай бұрын
@@onlocklearning the oldest of gen α are still in grade 8, you have plenty of time to prepare
@Charky323 ай бұрын
As someone who is learning Taylor series in a week, this is actually helpful
@joshualee15953 ай бұрын
One thing the video got wrong: if you infinitely continue the Taylor series it won’t become e^x. The left side limit of e^x is obviously zero,and the left side limit of the Taylor series is indeterminate. Also after x amount of terms the Taylor series can no longer follow its function.
@tiziocaio1013 ай бұрын
@@joshualee1595 the radius of convergence of e^x is infinite, shouldn’t that mean that the series converges for every real value?
@joshualee15953 ай бұрын
@@tiziocaio101 no, it doesn’t. There is a limit to how precise the Taylor series can become. There are several ways to prove this, but one obvious one is stated in my comment above. Top answer here covers a good bit about limits and Taylor series and polynomials.
@tiziocaio1013 ай бұрын
@@joshualee1595 ok I see
@irondiamon13923 ай бұрын
@@joshualee1595 As far as i know it does converge to the actual funcion, thats why e^x is called an analytic function. The difference between de Taylor polynomial and the actual function tends to zero as the degree of the series tends to infinity. Tell me if im wrong, but im quite sure i got it proved using the Lagrange remainder.
@Jnw_nyy3 ай бұрын
deep fakes are becoming more and more scary I thought this was real NOT KIDDING
@tuandingkang32633 ай бұрын
If they were talking about something more believable, very tricky to tell
@aurelia80283 ай бұрын
Are you retarded? Neither taylor swift nor elon musk know shit about math
@dariobarisic35023 ай бұрын
@@tuandingkang3263The tone of the voice is bland. It would be possible to differentiate if it's real or not even if the topic was different. However, what's concerning is that this was probably made by some 12 yo kid (no offense), the point being there are probably people who can make something far more convincing...
@hirandompeopled49683 ай бұрын
@@dariobarisic3502i do agree that this probably wasn’t made by an expert but do you really think a twelve year old made a deep fake about taylor series in calculus
@dariobarisic35023 ай бұрын
@@hirandompeopled4968 Well, a 12 yo can for sure make a deep fake of this quality. But no, I don't literally think that this was done by a 12 yo considering it's about calculus. It was more like a hyperboly.
@nicholasdalton31903 ай бұрын
quite literally helped me grasp the basics of taylor series despite multiple efforts before idk how u do it man but keep it going
@antoine25714 ай бұрын
I want to add something : if adding an infinite number of terms allows to fully recreate the exponential everywhere (for all real numbers and even complex numbers) it is NOT the case for every function. If the function is "cool" enough (ie differentiable a bunch of times), you will be able to approximate it very well at a certain point or even on a interval but not necessarily everywhere it is defined. Take for example ln(1+x). If you consider its "infinite" taylor expansion around 0 it will actually be valid on ]-1,1[ but not for all x > -1.
@onlocklearning4 ай бұрын
thank you! that is very true :))
@asheep77973 ай бұрын
Another example: 1/(1+x^2) (Secretly has singularities at i and -i)
@symmetricfivefold3 ай бұрын
idk about maths but can we pull it out in the imaginary realms?
@matchamitminze3 ай бұрын
The ratio test can be used for determining the radius/interval of convergence of the general power series representation of the Taylor series; if the radius of convergence is infinity, then the original function is exactly equal to the infinite series and not just the best local approximation. :)
@alejandropinto81303 ай бұрын
So true
@user-ud6ui7zt3r3 ай бұрын
My recurring confusion happens when I try to remember what the difference is between a Maclaurin series and a Taylor series.
@onlocklearning3 ай бұрын
Dont worry bro just remember mclaurin is taylor series when a is set to 0 - so this one technically was mclaurin
@onlocklearning3 ай бұрын
*maclaurin
@user-ud6ui7zt3r3 ай бұрын
@@onlocklearning I'm so glad that you answered me, right away. Otherwise, assuming your video format, I would have to wait until a Pop Star by the name of Maclaurin came along.
@B3N_J13 ай бұрын
Was just about to ask this. I haven’t learnt about the Taylor series yet ,but did see a resemblance to a maclaurin series so I was wondering if it was a different name or something.
@user-ud6ui7zt3r3 ай бұрын
@@B3N_J1 Calculus textbooks usually have two separate sub-chapters (one for Maclaurin series; another for Taylor series.) If you are interested, it was actually a student of Gauss, specifically Riemann, who discovered the Taylor series. In my opinion, if we insist upon naming 50 or so significant math-methods after only one guy, then it makes it really hard for subsequent students to remember each distinct math-method. So, by all means, continue to name significant math discoveries after other people (who were not the actual discoverer.)
@FlyingZoroark3 ай бұрын
C’mon, was Elon’s part actually ai generated?
@Bryan-uq4jg3 ай бұрын
🤣
@azertyuiop614733 ай бұрын
Do you think Elon knows this much maths
@FallenLight03 ай бұрын
@@azertyuiop61473 This is not complex math, I would not be surprised if he knows this
@user-vw9vd5vo5y3 ай бұрын
Elon is an AI
@RealLifeQuirks2 ай бұрын
@@azertyuiop61473 This is like Calc-2 level math so for Elon this is late high school to early college
@southparkfan4603Ай бұрын
That was actually well explained, please do a longer version of this. I'm actually learning shit I'm supposed to know
@michaelahklein3 ай бұрын
i NEVER understood why each term in the taylor series/any series in general “makes up” the function we’re modeling until the last 10 seconds of this video. like genuinely.
@Amaru11113 ай бұрын
Im sorry but you still doesnt fully.
@gregstunts3473 ай бұрын
It’s setting the initial value at a point a to be the same as the target function. Then the value of the first derivative is equated to the target function. Then the second, the third, and so on. All the derivatives of a function completely determine what the future values will be. So once all the values of the derivatives of the Taylor series match up with the target function at a point, you will know that the two functions are equal. Well, except if the target function is discontinuous with any derivative.
@tsepten79302 ай бұрын
The “why” of calculus and this is explained (through a rigorous proof) in a more advanced class called “Real analysis” usually taught in 2nd year of a math degree in college. But u can see it kind of holds true through the visualisation. again the actual full mathematical proof though requires a course in real analysis.
@Hys-013 ай бұрын
bruh I'm learning Taylor series at uni rn this is legit an entire week summarized into a minute 💀
@danielhaikal7508Ай бұрын
noway we got TS explaining TS
@mirandabee23234 ай бұрын
I like how the orchestral version of "Wildest Dreams" from the Bridgerton soundtrack came in toward the end. By the way, why is Elon here?
@onlocklearning4 ай бұрын
ahaha it's a banger, and just to spice things up tbh loool
@AayanAIA2 ай бұрын
Taylor Swift swiftly explains the Tailor series.
@orangesite76252 ай бұрын
Gen alpha: Who is taylor swift, Elon Musk Gen Z: our math teachers😊
@dkf282 ай бұрын
2 years in engineering college, and this is the first time I'm actually understanding Taylor series...
@STEVEBURTON993 ай бұрын
Really cute! I see you've done several of these, and I think it's a great idea. I especially think it will grab people's attention to get them to work through it their own heads, which is what's required for comprehension.
@johnwalker10583 ай бұрын
As someone who is preparing to study calculus, thank you so much for making these!
@gregstunts3473 ай бұрын
If anyone is still confused about how it actually works, you’re equating the all the derivatives of the Taylor series with those of the target function when x=a. Ie the values of each function are set to match at x=a. then the first derivatives are the same for each function at x=a. Same for second derivative and the third, and so on, until the last term in the Taylor series is reached. This is why functions with vertical asymptotes or discontinuities tend to not able to be approximated by a Taylor series for every value of x. The derivatives stop being able to completely determine the value of the function beyond the discontinuity.
@funkyanimals11653 ай бұрын
Oh man am obsessed with your content❤️
@Notmyrealnamet7 күн бұрын
Its also very interesting to note that the graph looks like a thread sewing a cloth which is what tailors do so the name tylor series is perfect
@joeyenniss9099Ай бұрын
This is actually a really good explanation of taylor series
@Iploac3 ай бұрын
That's the most I've heard Elon speak without taking like ten breaks between each sentence
@TheBooker663 ай бұрын
This is actually pretty well made, and if it can make gen zers/alphaers learn something, I'm all for it!
@no_name47963 ай бұрын
"Eventually we will end up fully recreating e^x" Ehm actually 🤓 taylor serie APPROXIMATE the original function, meaning if you keep going on forever, you will keep getting closer and closer to the original function, but you will never get end up recreating it, as by definition you can't reach infinity One simply does not reach infinity, because the moment you reach it, it means you can add one and infinity isn't the biggest value anymore. Also i need to correct myself: infinity is not a number! It's just a concept!
@albertrichard36593 ай бұрын
The precise statement is captured by limits. Let S(N) be the partially summed Taylor series, i.e the sum of the first N terms. In the limit that N goes to infinity S(N) will tend to the function. Effectively what this means is that you can always compute |f(x) - S(N)|, and that you can always make this difference smaller by making N larger.
@paulie2009Ай бұрын
Looks like a graph of Taylor's net worth ;-) Clever and entertaining vid Onlock.
@igotnews68913 ай бұрын
honestly pretty good explanation
@CrazyFlyKite3 ай бұрын
*e ^ x* is the GOAT 🗣🔥
@cicatox63453 ай бұрын
as a math major litteraly everything is crystal clear and its fucking brainrot, I am in admiration Only thing id say is that you shouldve explained that 99% of time we stop at X order but its so awesome I love it
@bano3s3 ай бұрын
This feels just like scrolling through an electronic copy of a school textbook instead of tiktok, pupils dilated.
@llll-lk2mm3 ай бұрын
crazy how i acrually learnt what it is through this video of all the videos on it ever
@ichbrauchmehrkaffee5785Ай бұрын
Honestly, if Taylor Swift were ACTUALLY to explain the Taylor-series, that would be pretty wild
@Vytor_013 ай бұрын
the first thing that came up on my mind when i learned about taylor series was taylor swift lmao
@Rorysent-pai3 ай бұрын
Im so confused on how swift is explaining this. This chaos is lovely
@Pabliski5772 ай бұрын
On how swift she's explaining it
@festusmuldoon2 ай бұрын
Correction: Taylor series are not polynomials. Polynomials are finite.
@Dakefan1232 ай бұрын
this is actually such a good explanation even though i have know idea what it means, its just entertaining ig. keep up the quality conent
@ugnemikalainyte17023 ай бұрын
i literally just learnt about taylor series w this
@JoeCMath3 ай бұрын
I'm honestly not going to lie, Taylor is helping refresh my understanding!
@lewando42873 ай бұрын
Unironically i use your videos to help me retain calculus stuff better
@morezco28 күн бұрын
It works, it makes you pay attention to see if the AI actually got everything right, the lip movement and the sound and meaning of what they are saying. Not kidding, this is incredible
@user-om2bw5mx6kАй бұрын
Thank you so much for your educational video which made me realise that I do not fully comprehend maths! You indeed have a concrete understanding of them.
@Nicholas_BuckАй бұрын
A polynomial is a finite combination of power terms; in general, a power series is not a polynomial.
@captain_ravioli421716 күн бұрын
Wish I find this video earlier, will help me a lot in calculus
@NguyenDownАй бұрын
I couldn't understand Taylor series back then. Thank you.
@rahileshanbi55513 ай бұрын
I just wanted to say I took the Taylor (and MacLaurin) series in a 50-minute class, yet you simplified it much easier. I definitely thought of Taylor Swift too, when reading the name 😂.
@kingki19533 ай бұрын
How do you make this? I would like to do with some popular figure in my country
@idontknow44343 ай бұрын
POV: it's the year 2035 and you're learning for your math exam
@ugwuanyicollins61363 ай бұрын
It was made in 2023 Sooooo
@elliotthedoge94563 ай бұрын
Isn't there for some functions edge effects with oscillation with a too high polynomial approximation?
@Amaru11113 ай бұрын
This seems like its derived from linear approximation or some kind of calc aproximation methods?
@Zepheray3 ай бұрын
Please do something like this in relation to relativity, quantum physics and timespace of a blackhole etc.
@qa1s2 ай бұрын
if only I got this recommended to me a week ago (before my final exam)
@kamo72933 ай бұрын
okay... getting her to explain the Taylor series is hilarious
@sriharshacv77602 ай бұрын
Remove those background sounds man. They are really distracting. Your content is gold.
@MarcusLeo892 күн бұрын
Great video m8
@silverstar0253 ай бұрын
Can you also explain what it used for in real life. like what does it do ? I really wanted to understand math but I don't know what a certain diagram can do or represent in real life.
@user-is9yv2gl3n3 ай бұрын
Well, for example you can't tell what sin(x) is equal to without using a calculator. Using a Taylor series, you can approximate what sin(x) is equal to with some good precision. In fact, Taylor series is what calculators use behind the curtain to tell you what sin(x) is equal to.
@johnwarosa29053 ай бұрын
Taylor series can be used to calculate functions like e^x, sinx or any other nice function. You can also use it to prove stuff like e^ix = cosx + isinx. Sometimes its easier in physics or engineering to work with taylor series than the original function. And you can use it to show that for small angles sinx ≈ x, which is a really useful and important approximation in physics and engineering
@markgross95823 ай бұрын
Next have them explain residue calculus and analytic functions
@sandhiltАй бұрын
Please, make explanation of Fourier Series.
@samurainads2 ай бұрын
Memes aside, this is actually so helpful.
@GodSahil2 ай бұрын
Nice elonmusk is not stuttering
@Abc-ck7cj2 ай бұрын
When I was in college I was wondering why they call it Taylor series . Now I figured out .😊👌
@ntlake3 ай бұрын
The Taylor series is not a polynomial anyway.
@ka9lko9n94 ай бұрын
This shouldn't work but it does
@politoed064 ай бұрын
why should it not work lmfao
@JamesVestal-dz5qmАй бұрын
I'd like to be a part of Taylor's series!
@losttrash9802 ай бұрын
you literally can make a whole series for lets say a levels math like this and sell it, this will be a nice thing to scroll before going to class
@GrassmplАй бұрын
You will never fully recreate e^x using any taylor polynomial. Uniform convergence does not hold over all real numbers.
@prajjwalmalviya3 ай бұрын
Really Impressed. Its not really brain rot
@Very_Questionable2 ай бұрын
i unironically want to see the real taylor swift explaining the taylor series
@coo0l3922 ай бұрын
i can't believe that a video of ai taylor swift and elon musk explaining the taylor series would ever exist,
@Nathann23 ай бұрын
Didnt really explain but still cool video.
@snigdhabhattacharya16903 ай бұрын
I know maclaurin series. Didn’t really study Taylor series for a levels
@mandarbamane42683 ай бұрын
That's just Taylor's series for a=0. There's many stuff like limited form of one is given other name. Taylor => Maclaurin Laplace => Poisson Stokes => Green
@sm006522 күн бұрын
Next: Adam Lambert on lambert w
@Katylovecats4 ай бұрын
She's the kind of math teacher, I've always wanted!! XD
@utvpoopАй бұрын
Now do the Maclaurin series with the Mclaren F1 drivers
@monxАй бұрын
chaotic good [ ✔ subscribed ]
@lirich03 ай бұрын
Can you do radius of convergence next? I need to leaaarnnn 😂
@mervunited3 ай бұрын
Seriously, I hope if she has any son, he'd be called Maclaurin Swift 😏
@ivycao5394Ай бұрын
this is actually a pretty good explanation...
@kenfrank2730Ай бұрын
I'm glad to see Taylor Swift teaching math. I don't see much of a future in the music business.
@aminnazari886010 күн бұрын
Perfect
@anthonymiu489Ай бұрын
Can you make an entire Organic Chemistry college lecture under Taylor's voice? 😂
@AlpasonicАй бұрын
Your wish is my command (Sincerely Yours, AI)
@numbers933 ай бұрын
They explained it so much better than I could have dafuq
@norude2 ай бұрын
I learned Taylor series before I knew who Taylor swift was (I still don't know why she's famous)
@jackyfrom_usa522Ай бұрын
right choice for this
@greenspring9437Ай бұрын
Why the fuck is this such a good explanation
@tabularasa_br2 ай бұрын
For the first time in my life I'm scared by AI, and it's not because of a scifi movie.
@IntensePeppers2 ай бұрын
How gen alpha will learn calculus
@losttrash9802 ай бұрын
u are doing god's work
@imadsting24672 ай бұрын
i did need this for analysis 2 exam thanks taylor 👍
@Divyam_Jha_._2 ай бұрын
We Got Taylor Swift Explaining Taylor Series Before GTA 6 😎😎
@goldrush198911 күн бұрын
As a Swiftie who likes maths, I Love this ❤
@theghf7692 ай бұрын
Taylor swift and Taylor series is clever
@quinny-bn4jw2 ай бұрын
I am commenting #BringBackDislikes on every unique KZbin video that I watch for the rest of 2024, regardless of if I actually dislike the video or not. This is video 1661.
@alazrabed3 ай бұрын
I am so happy knowing that Elon is adding all those terms, forever, on some stage in front of an audience that are sure they paid to hear something else.
@xazperentertainment331118 күн бұрын
math brainrot i love this
@El_Dr_TaccoАй бұрын
Dude i cannot stop crying 😂😂😂😂😂😂😂
@territicus90533 ай бұрын
Just took the AP BC Calc test today, hopefully I’ll get a 5.
@fouadalroumy6623 ай бұрын
I could have used this video right before the test