From Addition to Quantum Physics

[@blakerau6167]

I'm so glad you're sticking with it even though the views haven't been great. you're genuinely amazing!

[@MAKiTHappen]

It's not about the views as long as you like it

[@blakerau6167]

@@MAKiTHappen 🫡

[@w花b]

​@@MAKiTHappenIt's about sending a message

[@watching4410]

There's a video that explains quantum very well and why use probability but not mention the notation. U were the opposite and was perfect. Thank you.

[@CliffSedge-nu5fv]

17000 views in four days is not great? Yikes. There are way better videos than this one that can't get more than 1000 even after several months.

[@TobioEdolvesMark]

One of the greatest speedruns to Quantum Mechanics on the planet.

[@isaacmatzavraco3991]

Maybe you meant "shortest"

[@arvin6883]

​@@isaacmatzavraco3991greatest

[@kulled]

@@isaacmatzavraco3991 okay, then what's the greatest speedrun to quantum mechanics?

[@QSBraWQ]

​@@isaacmatzavraco3991greatest in this context means best. Even biggest could work in like most effort. The word after it is speedrun afterall

[@harrabi15]

@@isaacmatzavraco3991 a great speedrun is a short one.

[@hexem2]

40:56 "Funky curvy line or something- OH MY GOODNESS THATS AN INTEGRAL" Made me laugh not gonna lie

[@yaelfeldman6965]

I don't know what actions I must have taken for an hour long maths and physics video, which has less then 400 views, to be recommended to me at the top of my home screen, but whatever those actions were, I am glad I took them.

[@BaseSixBasics]

Bro I for real thought the title said “from addiction to quantum mechanics”. I’m seriously addicted to QM

[@debjoy9950]

no way bro sameee

[@mariams3879]

Even my French teacher is addicted to quantum mechanics

[@sadyoshhours2769]

I thought it meant he was an addict who turned his life around with studying LOL

[@kartikpaliwal5657]

Me too man

[@-rate6326]

​@@sadyoshhours2769 bro was expecting motivational stuff for addicts.

[@oskarman9402]

I do not know, whether you will read this comment, but I want to genuinely thank you for making this video. Not only did it connect the dots for the maths that I have been learning for the past few years in school, but it also revived my aspirations to study engineering after I finish school. I hope that this video will inspire others to not give up and try to learn maths and physics too. A wholehearted Thank You!

[@MAKiTHappen]

I have read it and it made my day

[@Ångström23]

@@MAKiTHappenwether or not you read this shan’t matter as I have watched your comprehensible video teaching, and therefore inspiring me, to start learning maths that are related to quantum physics.

[@MAKiTHappen]

Even though it shan't matter, your message has been received @@Ångström23

[@38raiyyan.u9b6]

​@@MAKiTHappen Bro can you make Ironman or Spider-Man suit with this knowledge? 😊 Pls make a video doin it 😀

[@RealValkor]

tomorrow my computer engineering classes will start and I am so god damn excited.

[@DominicDeyzel]

41:06 I thought you turned into gotham chess. OH MY GOODNESS HE SACRIFICES, THE INTEGRAL

[@user-ju2bk9ut8b]

A PAWN MOVES OOOHHH

[@pinniporker]

My favorite moment

[@Ia23872]

dude wth???? I can’t believe someone with this much quality content has less than a million subs,I genuinely thought this channel was big since the content was pretty high quality until I checked the sun count at the end of the vid,you’ll make it there in no time if you keep uploading stuff this good.

[@You_Ate_My_Soap]

Yeah, the KZbin algorithm isn’t always fair. But videos like these always give small channels a few thousand which is enough for them to begin

[@woodlefoof2]

@@You_Ate_My_Soap well, given that he has Exploded in views on this video, I’m assuming KZbin picked this one to show everybody

[@toilettime8765]

To be fair he does have 6 channels lol

[@maxalon2479]

@@You_Ate_My_Soap It’s not the “KZbin algorithm”, it’s the *audience.* If you want more detail, just ask. I *will* (hopefully) answer.

[@You_Ate_My_Soap]

@@maxalon2479 technically it is obviously but the algorithm just blows up videos sometimes. There is this video of an adult man spinning on an escalator made exactly 15 years ago. 99% of the comments are from last month

[@Ahmed-jx6lf]

This is one of the best explanations of calculus I've ever seen, keep going dude!

[@עדןמזור]

Right? It made so much sense! It gave me a much better intuition for dy/dx and all that

[@ArbitraryCodeExecution]

@@עדןמזור it was very oversimplified and nonrigurous. Not saying the explanation is useless, by no means, if it helps build intuition then it's useful enough. Point is you should take the explanations with a grain of salt

[@logicwizard783]

28:57 "I think that sucks, actually. I think that integrals should be called integrals, and derivatives should be called disintegration" I had a good laugh from that one, even though you said you didn't create it. I'm glad you included it

[@Physicsguy-qq5dc]

As someone who’s already a little familiar with calculus, I applaud how beautiful your segment from the basketball probability to a introduction to a integral was

[@aimeeaveys]

it's an intelgralllllllllllllll!!!!!!!!!!!!!!

[@rennoc6478]

@@aimeeaveysITS AN INTEGRAL!!!!!!!!!!!!!!!

[@kkTeaz]

it's " _an_ integral"

[@Daydarkness0]

“THAT’S AN INTEGRAL”

[@dragweb7725]

WOW. Just wow. I'm a PhD student with a pretty good knowledge of Quantum Mechanics, and found this incredibly pedagogic and pretty accurate. I've never seen someone explain all those math concepts so simply yet accurately and drawing that much links between them, making the overall thing look so natural, almost trivial even. Thank you for this incredible vulgarisation work !

[@powerscaleroffiction959]

im dumb and im in 9th grade idk what some of the stuff is

[@fooforthewin6758]

@@powerscaleroffiction959 I'm in year eleven and understand more or less everything he said. Try coming back in two years and test your luck then lol

[@KlinkerMalik]

@@powerscaleroffiction959what matters is that you clicked on the video and you were willing to learn. Bright future ahead for you. Keep grinding

[@pinochet3698]

@@powerscaleroffiction959 I used to watch trig and special relativity and other similarly difficult topics on youtube in 3rd grade. I probably understood about half of it, but because of the exposure, I flew through these classes when I saw them again. Don't worry about understanding everything. If you like learning and you try, you can learn almost anything.

[@rando_guy]

​@@fooforthewin6758 same some of the parts at the end seemed a bit tricky (i got a bit confused and had to look up stuff about probability densities) coz i think he didnt mention the thing about densities anywhere i understand it now tho

[@Mythical_Myths16]

Honestly quite a shame how a person with 3d animating skills is on a level of a big KZbinr like 3blue1brown, but is small. I'm quite surprised how KZbin hasn't pushed this into the algorithm.

[@MAKiTHappen]

This is one of the greatest complements I've ever gotten

[@rizzwan-42069]

it's probably yt shorts that makes it harder to get big

[@Mythical_Myths16]

IT HAS BEEN PUSHED INTO THE ALGORITHM!! ​@@MAKiTHappen

[@Alikornik]

Well, it literally had

[@Alikornik]

Well, it literally has

[@JonathanGarcia-we7wf]

This is genuinely the best math video I’ve ever seen! I’m a math major and I’ve never seen such a simple explanation of Calculus and its uses. Thank you!

[@retropsyche]

yeah i genuinely dont know wtf ive done to deserve having you pop up outta nowhere on my yt recommended, but it must be one hella thing cuz wow i feel like ive been blessed thanks bro for making this

[@sharanbandyopadhyay3503]

"kinda funky curvy line- OH MY GOODNESS THAT'S AN INTEGRAL" 41:10

[@personmens]

Bro, you had me at addition and then I was completely lost by the time you said "this is the definition of i"

[@_aliasALIAS_]

This is such a good video and deserves waaaaay more attention! It might be very oversimplified, but it definetely sparks a lot of interest, which leads to people filling the gaps that this video doesn't cover by themselves. Would definetely recommend this to someone who is new to calculus or quantum physics

[@mcarooney]

blud just explained my entire highschool math in 1 hour and walked away

[@mcarooney]

@@OpposingFork -_-

[@alexalani10110]

This is amazing! I’m finishing my degree in oboe performance but I researched applications of quantum computing in music at Argonne National Laboratory over the summer since I took my first class on quantum mechanics in summer 2022. As in, my project was ‘The Sound of Quantum Decoherence’ where I took the T1 values on IBM’s Quantum devices and mapped them from their microsecond time values to audible hertz in frequency. While my research was just a sonification, I’m hoping to help lay the groundwork for creative applications of quantum computing in the future beyond Shor’s/Grover’s/Bernstein-Vazirani’s algorithms etc. This was an excellent explanation of imaginary numbers and their relevance to Euler’s identity, you made it seem very intuitive in a way 3blue1brown would explain. I love how you focused heavily on the idea of probability in quantum mechanics, I feel someone could watch this and see the phrase ‘complex probability amplitude’ and not totally freak out lol. You broke the concepts down into their simplest parts, and as someone already familiar with most of the concepts you discussed before watching the video, it served as an excellent recap and helped me check on, yep I feel I understand this throughly to, this is a bit shaky and I should review the concepts more on my own. Not to mention the calculus explanation, very intuitive and yes I agree, integrals as a broad concept is hella simple so thanks for showing that visually. I’m so surprised this channel hasn’t received more attention yet and it seems the comment section agrees, please keep up this excellent work, if I ever get to teach a class I will definitely be showing this to my students to help explain these fundamental concepts in math and physics. I’m curious, it seems you really know the math and physics, how much of your background is in computer science? Just because when I initially started learning about quantum information science more deeply, I was really looking more through the computer science lens, using Qiskit and quantum circuits, logic gates, and math wise just applying my linear algebra knowledge to understand the time evolution of quantum circuits more deeply. Like in the future I’d love if you made a video about classical and quantum algorithms, explaining and addressing complexity class and what it means for an algorithm to be solved in ‘polynomial time’. Also if you felt motivated enough, this video discusses idealized and closed quantum systems, but I feel you could make a whole long video on quantum noise and how open quantum systems have a lot more to consider than idealized closed systems, just an idea but wow man, great job this made my day for sure, I’m glad the algorithm blessed me with this content.

[@Sior-person]

A++ on the essay

[@technicallittlemaster8793]

PLease never give up making such awesome explanatry videos, it was like a full movie but only the part 1 of a long series.

[@alfaxp9883]

So, I don't know how you do this, why you do this or how you can find the time to do all this, but you can and honestly that is just amazing. I'll be honest I have no knowledge of quantum mechanics or half the things you explained in the video, but I have to say that watching it was an absolute blast and I can confidently say that I have learned quite a bit from it. With that said the only thing I can say is thank you: thank you for creating new high quality content even though the views aren't there yet, thank you for not having sponsors or pausing the video every other minute to tell us to like and subscribe, but most importantly thank you for putting the amount of love and care in each of you videos. You are hands down one of the coolest youtubers I've seen in this platform. Keep it up❤

[@cewla3348]

i thought this was "addition in quantam physics" referring to how quantam computers add, literally searching for silver just to find platinum

[@read2write228]

I found this video completely at random and I'm less than halfway through it as I write, but dude, this is amazing! As a physics student, I have a concrete idea of just how much information is condensed in this one hour, and seeing years of my courses explained in sequence and in a language that is understandable for everyone and useful to everyone is, to put it simply, awe inspiring! I can't begin to imagine how much time this project must've taken to put together, bravo!

[@Artuistic2011]

As a high school student looking into mathematics as a career path, I can say with absolute certainty that this is the most beautiful video I've seen in a very long time. My understanding of calculus was reforged by this video, and my conceptual thinking of more difficult and complex mathematics as a whole as been beautifully simplified. Thank you!

[@ArbitraryCodeExecution]

if you are looking into mathematics as a career (that's great btw, me too) you should take into account the explanations (regarding calculus) in this video are greatly oversimplified, and very many liberties were taken in order to avoid rocky problems that mathematicians phased for centuries (Leibniz Newton also did these, they didn't know how to explain it worked, just that it did). All the 0/0 stuff is convenient abuse of meaning that leads to an accurate result by skipping over the actual math there. dx/dy are very complicated concepts as opposed to what is shown here. Anyhow, best of luck on your math education journey !!

[@bcpdarkness8643]

It’s crazy how the human brain works and can learn so fast. It’s weird thinking I was doing addition and multiplication at around 6 years old and now i’m doing quantum physics and calculus in college.

[@spencerscull3455]

Bro I don’t know how to say this but I’ve been looking for a video exactly like this for so long. A contingent summarization of the ideas of mathematics, from the fundamental level to highly advanced levels. These steps of logic fascinate me so much. Out of all the subjects in school, I was always drawn toward math and physics mainly for the reason that the only preconception needed to build everything else off of is that there are numbers and they can be counted. I found it compelling that the entirety of mathematics systematically builds off of this foundation to each next level of complexity. A subject that I could fully conceptually grasp. This led me down the STEM route and I am now a third year civil engineering student, and I really like what you said about complexity vs. toughness. I will have so many people tell me that the work I’m doing looks really hard… but it’s not hard in the slightest. Sure it’s complex, but if you understand the steps it took to get to these ideas and equations, then it’s really quite simple after all! I think that the hardest thing to do is create new ideas. And you, sir, definitely have a creative mind. Very well put together video, thank you for making this.

[@ArbitraryCodeExecution]

25:44 you can't just simplify h on the denominator and numerator and then pretend h = 0 (you say 2x + h = 2x). h, if you treat it like a number is either 0 or nonzero, you can't just pretend this is rigurous. This was a big problem faced by Newton, Leibniz, etc. which only got solved after formalizing what derivative meant based on the notion of limit. What you are doing here is juggling around imprecisely with a vague concept of an infinitesimal (which, on its own isn't a thing in the reals) and treating it as 0 when it's convenient. If you want to explain derivatives this way you sure can, but you need to make sure all those "h simplifications" take place in a set like the hyperreals (letting h be infinitesimal) and so the answer would be 2x + h, and to get the answer for the reals you pass that through the "standard part function" (which gives you the "closest real" to that hyperreal expression): st(2x+h) = 2x, you can't just claim 2x+h = 2x after using h as ≠ 0. Also when working with ℍ make sure to be careful of which properties transfer and which don't

[@ArbitraryCodeExecution]

also other punctualizations: when talking about distance between two points, you don't talk about dy and dx, you use Δy and Δx. When talking about derivatives you say you are "merging the points into one" and then "measuring the slope between those two points". Yes measuring slope requires change and thus requires more than one point, but YOU CAN'T CALCULATE a slope from a single point, and no, two equal points don't count (you reach the 0/0 problem again). What you are doing with derivatives is getting the 2nd point "infinitely close" to the first one, and seeing what the slope approaches as a result (note: see how I didn't say what the slope becomes, because you don't "go to infinitely close", again, infinitesimals aren't a thing in this context). Approaching can be thought of similarly to converging series. If I add up 1 + 1/2 + 1/4 + 1/8.... that approaches 2. At no (finite) point (number of summands) do we reach two, it's just that as the number of summands APPROACHES ∞, the sum APPROACHES 2 (btw in infinite sums you can also say the sum "equals" 2 but this could be considered notational abuse and it's not really the same concept of a sum being equal to one number: check out properties of infinite sums, they are quite weird, you can't for example group terms and move them around like you would be able to with finite ones). You shouldn't really talk about "change at a point": at a single point there's no change, you can't tell how fast a car is moving just from one picture, and calculus doesn't either. If I hid all of a function but one point, would you be able to tell me how/how much it's growing? no. Calculus looks at nearby points to get information, and those nearby points approach the point of interest infinitely. Finding the derivative means finding the slope of the best linear approximation at that point. That "tangent line" will get closer and closer to the shape of the curve locally as you make h→ 0, aka as you "zoom" more at that point, that tangent has to ALWAYS be getting closer and closer to it. Tangent doesn't mean "touching function at a point" because if it did, I could just claim x=k (any number) to be a tangent line at (x, f(x)) (functions never have two values on a vertical line, thus a vertical line always touches at most one point). Let's put an example: the line x=0 and the function f(x) = x². If i "zoom in" closer and closer to (0,f(0)) the function appears to become straighter and straighter, resembling a horizontal line (slope 0, which is the exact value of the derivative at 0), and my line x=0 is just perpendicular: as i get closer and closer to 0 my line does not get closer and closer to 0. When talking about integrals, you mix up the concepts of antiderivative (or indefinite integral) with definite integral (useful for calculating area), treating them like they are the same thing (even though they are closely related). Antiderivatives, or the "opposite of derivatives" give you a family of functions whose derivative is the original function, and a definite integral (can) use techniques from integration to find the area under the curve of the integrand bound by the bounds of integration Avg velocity is not "inaccurate" and velocity is "perfect", both (if you assume the relevant functions of space/time to be precise) are "perfect", they don't give you approximate values or anything. They are just two distinct but related things being measured. One is based on an interval and another on a point. Points and Intervals are inherently different and you can't treat a point as a "small interval" (there you'd be approximating). Avg velocity gives you what it says it does, an average of all velocities (continuous averages are a little different than discrete averages as in you can't just sum infinite quantities and divide them by infinity just like that, as you would in a discrete context, and they have to do more with integrals/calculus. Point is, if this is not intuitive you can always thing of velocity being a step function amongst intervals so that you can think of average in a discrete sense, BUT THIS is just a helpful thought, not a consequence of the inaccuracy of avg velocity). Velocity at a point is what you would instinctively think of as "rate of change at a point" for position, "how fast position changes at a point" (this notion is not rigurous, and to make it so you can go to my previous explanation, think of the slope of a secant line through position graph as avg speed, make that secant into a tangent by using limits, and the slope of that tangent (rigurously defined by manifolds, little o notation etc.) (aka the derivative of position at that point) is the velocity at a point). In conclusion both are perfectly accurate and you don't use one over the other based on "complexity" but rather on what you actually wanna do with the data, as they measure very (mathematically) different things.

[@jjdefeo7413]

As a university physics student, this was spectacular, amazing work! I've been trying to explain this all to my parents as simply as you just did for years. Thank you so much for the work you put into this

[@JayDeeWifeBoy]

If anyone is wondering if this video is worth watching, I thought I was so naturally bad at math that I managed to talk my counselor in college to letting me only take one class to complete my major instead of two. As far as I can tell this entire video makes perfect sense to me. I truly cannot believe how much providing context for the purpose and the use cases of different mathematical functions improves an understanding of it. Great work

[@Kloiyd]

This is one of the best explanations I’ve seen on various concepts of math. This video is highly underrated and honestly, I thought you had way more subscribers due to the immense quality of the video.

[@colinwilkes3377]

I really really really enjoy the longer videos like this rather than 5-minute segments.

[@The_Savolainen]

You dont add another apple to another apple! You add the extra apple to the multiset, that contains one apple, and after addition, you have two apples in the multiset >:(

[@Iam_inevitabIe]

I think we all can agree that this video deserves much more views, dude just casually taught all of high school calculus better than my maths teacher ever did.

[@advaitkamath8442]

"We're not here to be responsible, We're here to do math" thats probably my new favorite quote, a lot of math discoveries were made when people decided not to be responsible

[@mistersandman2069]

This is probably the next gen of science/learning KZbin and I'm all about it.

[@ІлляГорбенко-в2к]

This video really helped me organize the knowledge that I collected about mathematics and physics throughout my school course. Great visual demonstrations. I am glad you are starting to get the appreciation you deserve. Please make more great videos like this.

[@DTux5249]

Oh my... as a calculus student I found this THRILLING. This is the type of content I've been craving for a long while.

[@PeanutWarrior]

Hey, I don't really comment much on the internet, I just wanted to say that this video is amazing, a very good experience to watch after having a nice home cooked meal. This video is a very logical approach to not very intuitive math concepts. The animation style is clearly inspired by 3b1b, very cool graphics and very good imagery representation of the topic you are covering! Also checked out you older videos, it is amazing to see you put so much passion and effort into something that you clearly enjoy doing. Keep it up ! Look forward to seeing more of your work. Your accent is really nice, it 100% did enhance the viewing experience !!

[@juiceman110]

Wow, this including the art style done in what looks like to be some sort of blender modeled stuff is really good.

[@yes-zr8qt]

Amazing video, having a very good understanding of calculus your explanations were still interesting and fun enough for me to not be bored with 40min of something I've seen all day for the last years. The quantum mechanics part gave me that amazing feeling in both calculus and physics where you can see where the explanation is going and it feels so satisfying to understand. Really great video, keep going!

[@panshul520]

Still haven't watched the full video yet, though I noticed an error at 38:28. When you increase the number of rectangles to 4 the number on top of the sigma symbol is not updated. The % symbol also looks kinda weird here. I've learnt a thing or two this video thus far such as derivatives so thats cool. I think you could work on your explanation of how you draw a perfect circle using i (I did understand how multiplying by i makes 90 degree turn, that was pretty easy).

[@CRUZY_MC]

1:05:45 this portion is just awesome... love this outro !

[@MatthewKelley-mq4ce]

Honestly. One of the most helpful videos I've ever watched for an introduction to quantum mechanics. Very very good build up.

[@squashbanana]

Brilliant video! I'm currently in high school learning trigonometry, functions, logarithms, etc., so this video has not only been very good for revising everything I've learnt so far, but I'm finally able to understand these concepts I keep hearing about like imaginary numbers, wave functions and probability. They've always been a huge mystery to me, and it really feels like you've cleared a lot of it up for me. I love the way you explain each point of the video. The animations really remind me of 3blue1brown and some other similar content creators, but the irl clips put a nice twist on it. I've tried editing small personal projects before and I can't imagine how long it's taken you to produce this video. But I can surely tell you that it was well worth it. Bravo!

[@yuvrajbanerjee8578]

Holy crap, this was unironically one of the best videos I've ever seen on KZbin. This is probably better than some of the MIT professor lectures they upload to KZbin, and you somehow made me (a 10th grader that hasn't done calc yet) understand all of this.

[@caspermadlener4191]

Came back to see this video, and I am happy to see that this video is already getting some more attention. I am convinced it hasn't reached it peak at 9.4k views after 2 days, the stats are just for future people.

[@pateldev6250]

oh my god i am stunned what a beautiful video and very informative and when the OG line comes "oh my god thats integral " 😂😂 i laugh literally for mins thats was really awesome and very very excellent teaching REQUEST: please can you make more detailed video of these even if it takes the whole series because i have watch the threeblue and brown all videos but the way i feel connected to you is not that bond as it was with threblue and brown and will love to see the whole series of detailed parts and once again really thank you

[@pistachos4868]

amazing video! Woah, i hope in the future more people notice your good content!

[@averagemarco]

Honestly the best video on this subject I've encountered on here, you've earned yourself a sub and a like and a lifetime audience. keep up the good work (I'm 15 and this is easy even for me.)

[@Player_is_I]

Please don't stop with ur content, you will get support once the world gets educated

[@WM.555]

THE WAY YOU EXPLAINED INTEGRATION WAS SPOT ON!!

[@inxendere]

Dude I just looked at your account and I can't believe the quality vids you have and how little views they get. So glad this video is being picked up by the algorithm. You're bound to be a great!

[@greattogreater9349]

Ok no way this took me this long to stumble upon, great work man, the little references to arndom stuff made my day.Its almost as if knew what i watch

[@Jettexas03]

That video was awesome. Truly I thought there was the perfect amount of math while maintaining the balance of not “getting into the weeds” (though also I don’t mind that). You mentioned that second channel where you have more explanation. Where could I find a link to that channel? Keep it up man, you got yourself a new sub

[@MAKiTHappen]

I will post the more explanation-oriented explenation to that channel soon, I'll just have to wait for youtube to verify me there, and you can find all of my different channels on the main page in the section "other MAKiTs"

[@Jettexas03]

You the goat🙏🏽

[@theanimate]

i haven't see any video with this quality before. Good Job!

[@Neel-ir5yq]

i am in last year of high school and how you just explained and summarised all the topics is just brilliant i wish school teachers taught this way but anyhow keep making more videos i will watch every one of them you earned a sub i subscribed to all your channels and will share so more people will subscribe you definitely have the potential to be one of the big science channels keep making more vids ❤

[@mxwsa0]

I love that KZbin put this on my HomeFeed, so thankful. Keep the work up please, it‘s amazing!

[@JordiR243]

Just discovered this channel and every video seems so interesting! You'll blow up very soon

[@lua9502]

You cleared up so many things for me and I can’t believe even understood the quantum mechanics part of this video. You really accomplished ur mission with this video. Keep it going, I’ve been binging your vids all day

[@strondus]

Incredible work! I hope KZbin's algorithms blesses you, you deserve to be at the top with others creators like 3b1b and Veritassium.

[@jer5866]

How did I just gain a more comprehensive understanding of math in a 1 hour KZbin video than I had in ~16 years of math classes Amazing video by the way 10/10

[@danielazizi7686]

41:05 kind of funky curvey li- OH MY GOODNESS..THATS AND INTEGRAAL

[@dinoeebastian]

13:08 this is why I hate it when human calculators, like people that can do simple math extremely fast are praised for being geniuses, because most of the time they can't understand the actual tough equations, they're just good at doing simple math very quickly, I mean speed definitely helps, but calling them a genius for doing simple math quickly is a bit of an exaggeration

[@Nessie14]

Damn! This was great!! 😍 Thanks for making this video, it was really amazing indeed ^^ You explained everything super well and in an understandable way :D I'm sure this is gonna help me in the future when I get to these topics in school haha

[@mynamesgus4295]

this video was awesome please keep it up and take care of yourself. running 6 channels, doing cinema stuff, teaching physics , maths , even gaming for charity is not an easy task. i hope i get to learn more from you

[@arahan_dixit]

3 mins into this video and already going crazy in mind because of how much I'm enjoying watching this

[@MAKiTHappen]

Really glad you like it, I was scared that this video might be a bit "too mathematical", but I suppose it's hard to overmath it when it comes to quantum mechanics :DDD

[@arahan_dixit]

@@MAKiTHappen I can’t watch all your videos because college entrance exams are in 2 weeks😭, but once I’m done with them I’ll definitely watch all of them

[@MAKiTHappen]

Well good luck on your exams and I'll see you in two weeks :D

[@Kob_e_]

not even kidding, this is the coolest channel I’ve ever come across. I thought I’d never make a KZbin comment ever again but here we are, lol. (I want to say it again. This channel is so cool.)

[@frostbite8163]

This deserves more views

[@rmt3589]

43:35 Me: Yeah, was thinking it looks like the weapon a Sai. Him: Wave Function Brain: Wave Function Collapse knowledge activate! Me: *steps back out of surprise*

[@letuanhuynguyen6079]

Only 10 minutes in and I love it so far! This is some amazing content, you'll go far mate.

[@naicul_22]

I checked some of your Channels yesterday and you are so underrated... How can your main channel only have around 31.500 subscribers????? WTF you deserve so much more! The quality is so good and you explain it understandable that most KZbinrs can't do.

[@Reierkroete]

Holy shit this is incredibly well produced and underrated! Your channel will blow up, mark my words

[@vojtechvasut9609]

When i first read it i saw: from addiction to quatum mechanics

[@synthtea8366]

Hey this video looks really good so far. I just wanted to let you know so there wasn't any confusion, but (I believe and may be wrong) at 38:45 the Riemann sums from i=0 to n of [(1/n)f(x_i)] should instead be i=0 to n-1 or i=1 to n (Depending if you want left or right rectangles.)

[@przemeksiemanko]

One little thing i would say: if we define a continuous probability density function(as i suppose you did with the basketball) F(x), we really cannot say that F(a)=P(X=a)(which you said when dealing with points in space and a particle and with the forces, which are two very continuous cases) for some value a because we would treat it as it was discrete not continuous. It's always the fact that P(X=a)=0 because the integral from a to a of F(x) is 0. But i guess it would be really unintuitive to say that probability of something happening is 0 when it is clearly possible and this is not really a video all about details but about the concept. After all great work! You really deserve more attention with the things you create. I wish you only better and better videos.

[@MAKiTHappen]

I was trying to explain this problem with continuous cases at the very end of the probability segment when I mentioned that if we were to use the same approach for the continuous cases as we've used for the non-continuous one with the sums, we would end up with 0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+... I know that it wasn't quite as full of an explenation as we've all hoped, but I was trying to rush through probability a bit, and I thought that ending it with "Oh, hey look, it's the integral let's just accept that all our problems can be solved with this tool" would be sufficient. In the future I will probably make a seperate video only about calculus where I will explain it better

[@m_y_h]

this video is sooo amazing i finally did understand where the integration came from, but bro please please make a video about differntial equations please😭

[@Toxikuu]

great video thanks for making it!

[@TheDreRock]

this deserves many many more views but i’m glad the algorithm is starting to pick it up!

[@Zdnchb]

man i used to consider myself pretty good at math as a french 10th grade top pf class but i cant even keep up after 20 mn 💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀

[@alphanoob-wb2jh]

average asian kid

[@292Moo]

@@alphanoob-wb2jh france is in europe og

[@Queso_Burguesa]

same brudda same

[@Zdnchb]

@@Queso_Burguesa finally sm1 that can relate to me

[@Zdnchb]

@@alphanoob-wb2jhthats not even that bruh, im an english speaking arab living in france lmao

[@Ehe04937]

I love the video it's awesome It's definitely one of the best speedrun videos on quantum physics

[@Revyy729]

Seems almost like a 3blue1brown video, as another commenter pointed out. Incredible content.

[@exorbitance550]

Woah that was actually so intuitive and understandable wtf

[@Haffi684]

I'm leaving this comment here so that the algorithm promotes this video further (⁠◍⁠•⁠ᴗ⁠•⁠◍⁠)

[@jpeglucy]

This is super impressive, how concise and clear it it, and especially the video production quality.

[@Nick_gurh]

Bro doesn't know how to change fonts in blender

[@CURIOUS_FLAIR]

Channels name is the answer 😂 Just make it up

[@NotSoPuzzled]

How u focusing on smth so little on such an extensive video😭

[@SuvireArantes]

54:16 my boy's hungry excellent video btw, a great introduction and revision from basic maths to quantum mechanics

[@rmt3589]

6:35 OMG!!! IT'S HAPPENING!!! This is crazy! Little kid me always theorized about a vertical number line. Never though of using imaginary numbers for it, just a random x or n variable/unit.

[@comomudaonome]

"Just one video before bed" i said Great video, the best calculus explanation ive seen in my life, keep up with the good work

[@firemonkey1015]

This entire video blew my mind, especially the way you explained difference quotients as an intro to calculus. When you start digging really deep into math it’s brilliant how it all gets pieced together. 56:31 This explanation as well, only someone who knows a subject very deeply can explain it at a level that anyone can understand.

[@XenonOrchid]

This is probably the best math video i've ever seen, i haven't gotten to integrals in school yet, but you made it very understandable. This was great

[@lumiii_-]

This is incredible. As someone who has never been mathematically inclined and have always struggled with it, connecting everything in this way to give the big picture makes A LOT of things make sense. The visuals are awesome too, takes a lot of the abstraction out of it

[@playerofalltime]

thank you for the revising part ❤ I sometimes forget but this helps

[@afonsotrindade5174]

This might honestly be the single most comprehensive video i have watched when it comes to the progression of thought from simple operations to higher mathematical concepts

[@surrendertoJC]

This is the greatest physics youtube video in existence. Thanks so much mate ! 😸

[@lux6485]

i love the ad segment its just you talking about your six youtube channels and thanking people for 8 minutes its so entertaining

[@marsultortheninth9877]

Literally have spent months looking for an arithmetic definition of sine and cosine, learned taylor and power sieries, emailed university and highschool teachers, and all it took was 12 minutes into your video. Thank you so so so much!

[@nightskorpion1336]

This video is such a gem I have never been so interested in a video this much before

[@sikeman]

This is exceptional quality production, top notch really

[@MR8.]

0:09 I am gonna call it! He’s he professor from Big Hero 6!!!