Check out my second channel: kzread.info/dron/WhwybsQg-EeBJpsqtmbscw.html for snackable educational content

@Ultrajamz

4 жыл бұрын

Joma Tech what laptop or screen are you using to draw? Ipad? What might you recommend to do the same thing using linux/windows machines?

@PedroAugusto0

4 жыл бұрын

God damn, man I found your channel today, I loved it the way that you put some funny things in videos, congrats! I thxs 4 this tip

@daxi-yw8ui

4 жыл бұрын

Hey bro calm down that's called Montecarlo and it's a procedure literally everybody knows and my computer science teacher gave me this shit First day of second year High school

@freemind.d2714

4 жыл бұрын

There have onther way to do so, and generate one point only use the random function once : ) 1: Take 1 as fixed radius, Hand choose a circle angle N ( any angle value with in (0, 180] ) Loop: (Reapet 2~3, get as many point as possible) 2: Use uniformly distributed random function generate number 0~1 and multiply it by N as random angle 3: Draw the point on polar coordinate system, format: (radius, angle) 4: Calculate the distance between two adjacent points and add them up to approximate Arc length ("adjacent " can be done easily by ordering the x, y value of coordinate) 5: Because: Arc length = N/180·πr, and r = 1; so: π ≈ approximate Arc length * 180 / N More point we have, the smaller N we use, better the approximation we get, as this kind of prerequisite the only thing we can do is approximation.

@tisonludovic6858

3 жыл бұрын

num_point_total will be n 😉. You should try with 3 or more dimensions. Monte Carlo is made for bigger dimensions.

My favorite interview question is *“What’s your name?”*

@moustafadarwish3674

3 жыл бұрын

and i sometimes get it wrong

@DrRAZI99

3 жыл бұрын

Thats a pretty hard question

@user-cb8ti1db2e

3 жыл бұрын

Such a tough question.

@namenotavailable9989

3 жыл бұрын

Too bad. My name is harder to pronounce.

@pipedownandeatyourpudding2986

3 жыл бұрын

its my favorite as well, but it can get difficult at times

I feel like he only made this video to flex on us, especially his Patrick drawing skills

@aaryashah2462

3 жыл бұрын

He does that in every video

@jgfiugdiugiud9132

3 жыл бұрын

@@aaryashah2462 true lol

@ansadahmad1958

2 жыл бұрын

If you have been watching his videos you would know he is a major flexer😂but the good kind

@Phoenix-hd1tk

2 жыл бұрын

Man, i am so dumb.

@paolosalgo6987

Жыл бұрын

bruh. the boy is not humble and i love it.

It was actually really funny when he was 'acting' to be smart saying 'oh, you didn't know the formula to the area of a circle?' and then the next shot is a view of his computer screen looking up the area of the circle. It was clever how he did that transition ha.

@SO-fb4ef

3 жыл бұрын

I didn't even realise 😂😂😂

@TimBoundy

3 жыл бұрын

It was so well done that I didn't even notice it

@arminbond2336

3 жыл бұрын

😂😂😂

@vraycool

3 жыл бұрын

What the- 😂😂😂 didn't realize that!

@bali5890

2 жыл бұрын

I was about to call you captain obvious but seems like many people didn´t realize it so the comment is fine.

"Fuckin' idiot..." made me almost cry from laughing so hard. You bastard, gotta call me out like that xD

@nathanmagro928

3 жыл бұрын

It was funny, he had the equation looked up in google on his screen

@zilberorph9879

3 жыл бұрын

Through jokes its clear who's full of shit.

@docbrown2045

3 жыл бұрын

Yeah I felt offended too, but also I laughed like never before.

@goodguysaladshendelzare1919

3 жыл бұрын

@Nathan Magro hahahahahaha wth

@Ledeblogger

3 жыл бұрын

Long time I didn’t laugh with yt video

They asked me this at my interview for "assistant to the cashier" at McDonald's. I aced it.

@YunisRajab

4 жыл бұрын

Lmao the whole interview should be can you count and stand a lot?

@steelfalconx2000

3 жыл бұрын

Damn you're a cashier's assistant!? Jealous!

@vancekangyishu

3 жыл бұрын

@@steelfalconx2000 assistant to the cashier

@oregano2771

3 жыл бұрын

@@vancekangyishu Dwight.

@theakatsuki2113

3 жыл бұрын

He is kidding ,he actually knows it

3:04 I needed to pause the video because I was laughing too hard

@arthurcasillas2912

4 жыл бұрын

Same, lol

@ameenurrahmankhan6933

4 жыл бұрын

Same here 😂😂😂😂😂

@daniel-fich

4 жыл бұрын

I didn't even realize at first. That's amazing

@daniel-fich

4 жыл бұрын

@Haze The Space Commie Look at his monitor at 3:04 ...

@Tom60

4 жыл бұрын

Same 🤣

I felt like I was being humiliated this whole time

@antibulletdodger101

3 жыл бұрын

lol same here

@sproutdood

3 жыл бұрын

When you realize he actually searched up for circle area formula. 😂😂😂

@bjorn1724

3 жыл бұрын

Did you like it? "50 shades of Joma Tech"-like?

@jhay_vine5083

3 жыл бұрын

Bro 😂😂

3:01 my math teacher every time I ask him something 😂😔👌

@pukhatozhimo

3 жыл бұрын

Lol, I'm a math teacher. 😂😂

3:04 googling the formula lmao, nice touch

@pominchuang462

4 жыл бұрын

lol

@escanorescanor9025

4 жыл бұрын

"Oh U didn't know? Fucking idiot"

@l.1244

4 жыл бұрын

Pointing out the obvious makes it unfunny.

@tekneiq

4 жыл бұрын

He got the joke boys, pack it up.

@hl7297

4 жыл бұрын

@@l.1244 I didn't pay attention to that detail so his comment's still relevant

7:32 Actually 2.92 is closer to Pi than 3.6

@enki7952

3 жыл бұрын

thats called the BrAiN GaMeS

@Luis-Torres

3 жыл бұрын

Oh you didn't know? *chuckles* idiot.

@darienrafaelmarquezvazquez7694

3 жыл бұрын

@@Luis-Torres "Google: What is more close to pi, 2.92 or 3.6????????????????"

@mathnetic7511

3 жыл бұрын

I saw that too. Xd

@Priestessfly

3 жыл бұрын

damn brilliant

I thought he wasn't serious when he said "calculate π"

If someone asks me this kind of question, I would just walk away...

@jhay_vine5083

3 жыл бұрын

Facts bro 😂😂😂

@faizanali193

3 жыл бұрын

To be honest, If someone applies for data scientist positions and doesn't even know the basic Monte Carlo, then he should definitely walk away. So many ML/DL junkies wanna be a data scientist these days, can't even pass a basic statistics test...

@stm12p

2 жыл бұрын

@@faizanali193 who the hell claims themselves DS guy if they don't know Monte Carlo? i mean, you could do it without any coding skill.

honestly, sometimes i find it really hard to tell whether joma is actually being serious to straight up trolling. Cuz him having a serious face can easily fool someone gullible like me.

@barryrims9098

4 жыл бұрын

That's cuz ur stupid it's ok

@Dgsrgv

4 жыл бұрын

@@barryrims9098 its ok i know u aint got friends

@Dgsrgv

4 жыл бұрын

@@choiceindot its ok i know your a low energy human being trying to find the meaning of your existence ill just give it to you

@Dgsrgv

4 жыл бұрын

@@choiceindot your actually an idiot lol

@Dgsrgv

4 жыл бұрын

@@choiceindot you implicitly admitted you`re an idiot lol nice job idiot

This dude is flexed so hard that youtube had no other choice but to recommend this to everyone

Please do more of these 10 minute videos with interesting questions and their answers! This would be a great format to learners. As soon as you posed the question, I hopped on pycharm and coded it up! It was fun!

5:32 that googling google to go to Google killed me 🤣🤣🤣🤣

That's like the very first example any professor would show when teaching about Monte Carlo.

@TrioLOLGamers

4 жыл бұрын

My teacher inserted that in an exercise for the test... It was cool, but later I discovered that he copied everything in the tests from forums... So he knew only few things... Not as teacher at the University

@CamaradaArdi

4 жыл бұрын

@@TrioLOLGamers at least here in Spain you have to be a doctor to be a professor

@TrioLOLGamers

4 жыл бұрын

@@CamaradaArdi really?

@srgk26

4 жыл бұрын

@@CamaradaArdi Isn't that how it is everywhere?

@srgk26

4 жыл бұрын

@@jarolrivera640 I suppose you're from the US? Don't know how it is there, I know PhD students also teach but didn't know they're called professors too. I'm in the UK, and here only a fraction of PhD holders even have a chance of possibly becoming professor. It's the highest "rank" you can have in the academic ladder, and even that's not tenured. If you don't produce results in a certain time, you'll be asked to leave. Though by that time, you're probably quite crazy about the field you would probably produce results. With regard to lecturing, at research intensive universities would normally be working for at least 5-10 years or so to be a lecturer. Not sure if this is a good setup but that's how it is here.

More of these pls I love them, also the coding explanations really help beginners. Love u joma

Omg, i love this guy!! I'm a data science major and I am so happy I stumbled across your channel. I'm gonna sign up with your services.

8:40 you could also calculate root mean square of M estimates of size N, and get better precision while maintaining O(n + m) complexity

Dude... this is the second video of yours I've watched, and so far they're both hilarious. I genuinely thought you were calling me an idiot, and then the next cut shows the area of a circle Google results on screen hahaha.

Hey Joma! I really loved this content, gonna share with my friends to blow their minds.

The fact that I'm doing my homework and its a very similar problem to this, so I'm using it for a reference. So glad I watched this earlier, great content man!

I like the content and appreciate how you guide through the act of creation in a way that shows quick and easy how to connect dots, where to look and how to improve, and all in a funny, entertaining and overall very polished looking way. I feel betrusted in my intellect but yet not overestimated :D First content I saw of yours was the apple-type blinds commercial on your other channel.

This was a outstanding video. Thanks for making it. I'm just starting to learn Python so appreciate the coding segment in this video as well.

I was going to comment: I could learn this all day if you would teach it. And then joma academia. Nice thanks

There is another way (more computing intensive though), you can transform the numbers into integer and check if they are coprime. The probability that two integers are coprime is equal to 6/π^2. And boom, you have a solution that is way longer to run

@kolbstar

3 жыл бұрын

That's using a lot more than just a uniform random variable generator. You're using multiplication, square root, and the definition of coprime.

@StrangerHappened

2 жыл бұрын

@@kolbstar the random generator is already ridiculously overboard, unnecessary and slow for pi calculation. So the root comment is just upping the game. And I am sure there are ways to calculate pi that are even slower. There HAS to be a competition for the slowest algorithm.

@kolbstar

2 жыл бұрын

@@StrangerHappened I planted a tree in my back yard. I will wait for it to grow to maturity, cut it down, dry it, put it on a lathe to make a rod, then measure its circumference and diameter.

@thaituanly8955

2 жыл бұрын

how bout - Using a presentation of a circle (center (0,0), r = 1) in a cartesian coordinate system (which would be x^2 + y^2 = r^2) - Find the area that is bound by the circle in the first quarter and the x and y axis using integral, and this area would be 1/4 of a circle - Calculate Pi from that area This way (if works) will require 0 call for random(), and gives you constant runtime + better accuracy.

@astronemir

2 жыл бұрын

@@StrangerHappened that’s not true the random generator is a pretty damn good empirical way of calculating pi.

Fun fact is that you don't need the random function to compute with this technique. Just using points on the grid would result the same. E.g. double loop for x and y. The finer the grid - the more precise is the result.

@bastiaan9127

3 жыл бұрын

That's what I was thinking. Regular grids should even be slightly more accurate than random numbers. But be careful to exclude two of the four borders. Starting off with random numbers is probably just to confuse applicants, or test their ability to generalize and simplify.

@fruitygranulizer540

2 жыл бұрын

yea but the point of the original question is to find pi with a bunch of seemingly ranodm numbers. if the question mentioned a grid, its a bit easier to come up with the solution.

@jeffery_tang

9 ай бұрын

you would have to deal with edge cases like what if the point was right on the line, but that's probably a trivial solution to it

2:58 The greatest sense of humour I have ever seen!

This was literally one of the exam question in a programming and microcontroller course I took this semester.

This is one of the first cases of Monte Carlo you learn! Very simple and elegant solution to estimate Pi. The funny thing is that you can do the same calculation using a cardboard, a baby powder and a scale!

Easily the funnest programming tutorial I've ever seen, great information too

1:40 to 1:43 can cure depression, end wars and achieve world peace

@AashishMishra_Nygma

4 жыл бұрын

don't believe me? click it back to back

@gabrielrezcp1788

3 жыл бұрын

@@AashishMishra_Nygma shure i do

I really love learning from this channel, it makes learning complicated stuff fun, with a perfect blend of humour. Also, I really like that Patrick, let the artist know it's great work, whoever it might be.

This is the classic Monte Carlo introduction problem. Ptsd to my thesis days.

“Now calculate the mass of the sun” 💀😂 I died

Better solution without the random function (could suggest both solutions, although they never said use the random function anyway) Calculate the area under the first quadrant of the unit circle curve using a riemann sum and multiply it by 4 x = np.linspace(0,1,1000) pi_approx = sum(np.sqrt(1-x**2)*x[1])*4 Also for the solution using the random function just create arrays of random numbers and perform the operations once instead of looping: x = random(n) y = random(n) pi_approx = (sum(x**2+y**2

Joma: *gives function total number of points as n* Joma: *proceeds to calculate total number of points as num_point_total*

@phamtuanbinh9655

3 жыл бұрын

@Light Myst :v Then why won't he name the func param like that. It's simply because of the order of his thoughts.

@icaruscorp1529

3 жыл бұрын

I think it’s probably a habit from working on bigger projects, where a single letter variable isn’t really a good idea if multiple people work on it

@tutankhamen5080

3 жыл бұрын

Legit happens to me

@soumojitchowdhury151

3 жыл бұрын

@@icaruscorp1529 but its a waste of time. You are passing n to the function and also counting it in side the loop, it adds extra computation for literally no reason

@bo17age

2 жыл бұрын

you got me b*tch!

Hey btw if anyone is trying to plot the points in the circle graph like I did, remember that the points range from 0-1. So only in the upper right quadrant. If you want to plot them in a full circle, you have to change the range from -1 to 1.

I've done this on my TI graphing calculator back when I was in high school and it was a ton of fun learning about the Monte Carlo method.

When you're finished, you can show them another way and name-drop Euler for extra credit. double x = 0; for(int i = 1; i x += 1 / (i * i) } print(sqrt(x * 6)); // fixed by Eutu Salli The other, modern, fast formulas (Ramunajan and Chudnovsky) include polynomials and factorials. This would either require using libraries or writing your own functions.

@thaituanly8955

2 жыл бұрын

how bout - Using a presentation of a circle (center (0,0) r = 1) in a cartesian coordinate system (which would be x^2 + y^2 = r^2) - Find the area that is bound by the circle in the first quarter and the x and y axis using integral, and this area would be 1/4 of a circle - Calculate Pi from that area This way (if works) will require 0 call for random(), and gives you constant runtime.

@mgancarzjr

2 жыл бұрын

@@thaituanly8955 the integral of sqrt(r^2 - x^2)dx is 0.5 * (x * sqrt(r^2 - x^2) + r^2 * arctan(x / sqrt(r^2 - x^2))) Assuming you can pull this formula out of your head or derive it (I cannot), the arctan() function becomes a problem. If you can't code an arctan function, you'll need to rely on a math library. If you can access the math library, looking up pi will be far faster. Converting to the polar coordinate system creates a far easier integration and avoids arctan, but then you're integrating in radians which require the use of pi.

@mgancarzjr

2 жыл бұрын

@@thaituanly8955 you can do a Reimann sum where you accumulated the areas of very thin rectangles from 0 to 1 whose heights are the sqrt(1 - x.position^2). The issue with that is the same issue with the Monte Carlo simulation in that you're calling a sqrt function n times which is slow.

@etusax

2 жыл бұрын

Are you sure your formula there is correct? I implemented your solution and got results pretty far from pi (around 7,7). I'm pretty sure I triple checked the implementation to be correct.

@mgancarzjr

2 жыл бұрын

@@etusax you are correct. It should be sqrt(x * 6). I posted a link to a working implementation on an online compiler/debugger, but KZread deleted the post. I must be on a naughty list.

I genuinely died when he searched up the area of the circle 😂😂😂

@saisagar5639

4 жыл бұрын

Yes

@thelastilluminati6959

3 жыл бұрын

why are you still alive then

@legohexman2858

3 жыл бұрын

@@thelastilluminati6959 because he was revived by the funny

This is super smart. Never would have thought of this.

Wow, I remember that. I had it once in my high school classes. Good to know it can be an interview question

My first thought was to use the randomly generated points to do numerical integration. I had to first generate points, then sort them, then integrate numerically using trapezoidal sums (average of upper and lower sums). Since i used a simple sorting algorithm that would be in n^2 time it doesn’t seem to be a very efficient solution. I like the way you did it without getting overly complicated. I’ve spent so much time doing heavy pure maths proofs so my brain must have been stuck up there and missed the easier solution. Good job!

@Philgob

11 ай бұрын

how the fuck is this your first thought

in python: use command help('modules') to see all modules installed, use command help(module) to see documentation, use command dir(module) to see available commands

@marceloaugusto7830

4 жыл бұрын

or just use google....

I actually understood this omg. Thanks Joma!!! thanks for the vid might also add that youre “weirdly” entertaining like you know how to do it somehow

OMG! This was so useful and also very fun, thanks!

I swear I laugh the most watching your videos. So many programming/coding/tech channels try to be funny and it’s just awkward. But joma always delivers

Interesting question, thanks! This took me way longer to program than it should have (nearly 30min in C). I did learn that floats can get less precise as the numbers get more massive (which I somehow forget; it's obvious), and to use doubles in this case. My INT_MAX iterations got me to 3.141575.

Your sense of humor is great!

Your videos are awesome man!

I look at coding interview questions everytime I wanna feel stupid Edit: I learned python, javascript,and c++ and algos still make me feel stupid 😂.

@modellking

3 жыл бұрын

tbh most usual interview questions are easy at companies outside of FANG and where the bosses understand anything about engineering. (Had some during the last year)

@Heroseuss

3 жыл бұрын

Lmaoo

@DrRAZI99

3 жыл бұрын

Lol

@bryanfeliciano4102

3 жыл бұрын

@@DrRAZI99 glad that made you giggle 😂

@nyb_ok

2 жыл бұрын

Its ok. Noone can know everything.

This is called the Montecarlo simulation

That logic of thinking with the graph is where the main clue is... Awesome idea

Watching your video, and following along makes me feel smarter lol Thanks for the content

Instead of using another variable incrementing for total points, you can directly use "n" which came as input argument.

@ellmango

Жыл бұрын

lmao

Hey! I wanted to add a little side note for those that are interested in the maths behind it. Lets imagine that we are throwing arrows at a square of side length 1 (Lets call it "A"). Then the Probability of our arrow landing in the Part of the circle that intersects the square (Lets call it "C") is: Area(C) / Area(A) = pi/4 / 1 = pi/4. Now let X_k be a random variable, with X_k : [0,1)^2 -> {0 , 1} | (x, y) -> { 1, if |(x,y)| We therefore have: P(X_k = 1) = pi/4, P(X_k = 0) = 1 - pi/4 => Expected Value: E(X_k) = P(X_k = 1) * 1 + P(X_k = 0) * 0 = pi/4 X_k represents our k-th throw. You get 1$ if your arrow lands in the circle and 0$ if it doesnt. We now use the "Weak law of large numbers" which states that 1/N * ( sum(X_k) from 1 to N ) -> E(X_k). Here we are just taking the mean of all our payments gained from throwing arrows. This converges (in probability) towards E(X_k) = pi/4. By using the markov-inequality we can even calculate the minimum number of throws we need to have a certain probality that we are closer than a>0 to pi, for any a>0.

Great video! This is a nice example of a Monte Carlo method, pretty cool :)

You are really amazing.❤ Everything you do is just amazing.

5:27 - You went to google.com to google google and clicked on the first google link to take you to google. BIG BRAIN!

@anubhavagrawal3963

3 жыл бұрын

Teaching recursion for free. 😌

Dude this man is my favourite...except he shows up on my interview day lamo..i'm dead...

This was very satisfying thanks.

You should make more videos like this...............this one made me to learn math and cs in easy way ......................

first number: 3.6 (0,46 away) second number: 2.92 (0,22 away) Joma: "that is not more accurate"

What kind of program do you use to draw like that? Thank you you're awesome

Bro your humor is real epic love it, not even cringe

you could also use the Central Limit Theorem and the fact that there's pi in the PDF of the Normal Distribution. actually there's a huge no. of places pi shows up in math

num_point_total is really useful( “n” is useless)

All the knowledge inside this piece of humor, I had to stop and laugh for every joke. Really well done 👏🏼

I really love this kind of videos

That's awesome solution! I never thought that, I mean out of my guess.. Awesome!

I don't even like math, but can't stop watching videos of this dude

6:08 when he typed in x^2 first before x**2 😂 gets me every time

Love your sense of humor 😅👍 Great video, as usual 😊

please, do more videos like this one, with actual coding, it helps a lot!

Why no one is talking about how funny at the same time educational his videos are😂😂😂😂😂😂😂😂😂 !!!! You are doing a great job JOMA ✨✨✨✨🔥🔥🔥🔥🔥

2:52 don't mind me, just wanted the golden moment of the video to replay

This was great thanks!

I just love how many subtle things like

Joma you are amazing, I laughed hard at 5:30 😂😂 Amazing content too

@OpannapO

2 жыл бұрын

agree with u 😂

@nikolatesla399

Жыл бұрын

😂😂

You can actually just divide by n

@jomakaze

4 жыл бұрын

Yea oops

@3lietechhack646

4 жыл бұрын

How? Could you please explain?

@francoisa3231

4 жыл бұрын

nb_loop = 10000000 nb_point = 0 x = 0 y = 0 for _ in range(nb_loop): y = x x = random.uniform(0,1) if x**2 +y**2

@Hellopiermy

4 жыл бұрын

Super fast way: from numpy import sum, random as r N = 10000 (your choice) sum(r.rand(N)**2 + r.rand(N)**2 < 1) * 4.0 / N

@felipemotorhead

4 жыл бұрын

It doesn't matter, I'm not going to write any of these calcs for my applications anyways

Thanks for creating this video 😊

Man I love your videoooss!!!

3:04 I see what you did there I nearly died laughing LMFAO

Very cool algorithm. Messing around with this a bit, and implemented it in C++ and C# as well. The results end up being very close to the actual value of Pi, just as shown here in the video. The cool this is that the C# version executes just about as fast as the C++ version does. I guess that's to be expected though, given that the heavy-lifting is done in the loop.

You should use central limit theorem for more accuracy. You can do it while using n=100, and run it a few times let's say m times. The average of your m data would be a better estimator for pi

You could do the same thing with a smaller circle, checking the distance to 0.5, 0.5 instead of the origin and including points within 0.5 of it.

when he started typing "p" in google all the search results and auto texts were blurred and the titles are long and there are dashes and xs and stuffs.... 😆 just kidding. nice video by the way cheers!

@saimyintmyat9373

3 жыл бұрын

Pork 😂😂😂😂

3:04 i lit laughed so hard... after all the bragging....lol

You have a great sense of humour,really can relate to it :D

This is actually very comprehending for ultra smol brain like mine, much of a mentally striking question than a complicated one

Jesus, you got me when searching in google for google lmao.. i spit in my cereal

3:05 I genuinly almost shit myself just by laughing lmao

They taught us how to do this at a programming boot camp I was at before starting uni. (the boot camp was organized by the university)

Determining whether random points fall in a circle seems more convoluted than it needs to be. A random point between 0 and 1 used as just one x or y component is sufficient since you can then derive the other component using pythagorean theorem and do 1 - the value squared and take the square root of that. Then you can use the property that triangles have pi radians and derive all the angles in radians from the values using simple trig. Sum them together, and you have pi.

2:58 ,my brain after exams

The question doesn't even say you need to use the random function to solve it.

I did it before you explained it, because i learned a similar trick in a video by coding train. Then I watched your tutorial portion, and learned some tricks, thanks man. Specifically the squaring isn't needed cause 1. And I used an array, and I didn't have to lol. Good video!