-...And then the fish shoot the kangaroo head in its mouth and destroy it! -Wow, thats so interesting! Anyway, my friends are here, go meet them! -Hi guys! Why are you in medical gowns? -We're from the Psychiatric medical facility №69, come with us please.
@@ashtimbog As a kid "These examples used in maths problems are silly, no one buys seventy bananas." Yet now as adults "The example used in this maths problem is alien kangaroos, of course, makes sense."
@@mantask.9688 I don't think their current power source could support 2 lasers. They need to research a better power source before doing so. I think a rail gun that shoots like a shotgun is a good counter to the boomerangs. I think the ship shoots a plasma bolt like a star wars laser. A real laser would be invisible to us and we'd only see the turret turning and boomerangs exploding. Not sure why the kangaroos never bothered to invest in multi warhead boomerangs that split up with decoy boomerangs released.
The most amazing thing about captain blubber is not the fact that he defended the empire's hellfire, nor the fact that he found a way to make his cannons into gatling guns, but how he got so many cannonballs on that dinky little ship
First example: yeah, very easy, very common, can be seen everyday (cannon aside) Second example: okay, not as common nowadays and a bit more complex to do, but still “realistic” (extreme cannonball barrage aside) Third example: W H A T I’m worried by how he’s using a present example (basketball), a past example (pirates and ships battle) and a supposed future example (the space kangaroos). Can you see the future and are you trying to warn us of what we’ll be facing? Our overlords?
well if you think about it, the third one is actually a present example as well. missile defense systems today likely run off something similar to what was described here.
I'm a calculus tutor, and I'm going to use these videos to teach my students! Very well done!! I love your incorporation of fundamental physics and mathematical concepts in complex applications. Excellent animation as well. I look forward to seeing what you do next!
This has to be one of the coolest videos i have ever seen! Cant believe you dont have a bigger audience. Im really intrigued by simulations like this, especially with AI like the one you showed in the other video with the fish that had to survive. Can i ask how or where you make those? I would like to try to make some myself. Thank you
Genuinely curious; you state that a general equation for solving for the unknown variable (t) only exists in polynomials that have 4 or less degrees. Why did you reduce your 6th degree polynomial all the way down to the first degree? Why not settle for those general equations of the 2-4th degrees? Additionally, is it quicker to reduce it all the way down to the first degree or is it computationally quicker to not take the derivative 5 times?
its definitely possible to stop at the 4th degree or the 3rd even, but those formulas are extremely long. The 4th degree equation has around 100 instances of its coefficients in it, just for one x-intercept...
@@b2stud Ah ok fair enough, it's just a coincidence that I was teaching myself polynomials a few hours earlier, wanted to see if there was a reason it wouldn't apply lol
Really liked how you broke down the solving of higher order polynomials!! I was trying to figure out how you guarantee finding a solution but differentiating it is clever! 🔥 10/10 will watch again
Ok that ending battle actually was fucking hype as shit. Reminds me of those anime where the mc is waaaay under powered but uses his smarts to out maneuver or out wit the enemy. Fucking banger of a video right here
Wow not only did you explain math in a way that is easy to understand, you have great animation abilities as well and obviously coding knowledge. You're going places man.
I ADORE the animation in this! This is actually a really good explanation of this stuff, and is very entertaining to watch even if you don't really get any specifics.
It s truly one of the best content on youtube for me, I love ai, simulations, and stuff like that and your channel is just that, I m really glad I found this, I hope one day I ll be able to code things like you do
Honestly when i saw the btd6 vid i knew this channel would be great, but i never anticipated this level of complexity mixed with dumb pirate jokes. This channel is an honest to god gold mine only 3 vids in
Great video, I feel like I learnt a lot By the way, I’m confused what you meant at 7:21. Do you still aim for one of the x-intercepts of the original graph, just the final derivative, or something else?
once you find the x-intercept of the line, you can use that to solve the quadratic, then you can use those x-intercepts to solve the cubic and so on until you solve the original line. The original line's x-intercepts are what you want to find.
@@b2stud Oh cool, that makes sense. Thanks for the reply! As I said, great video, hard to believe this is only your second proper one with how well made it felt.
This is definitely the most engaging way I've seen these topics presented. I love the focus on intuition. It'd be cool if it were possible to help build that intuition from scratch, but it'd lose me almost for sure.
One of the defense strategy in robocode is this. Robocode is a programming game, were you can shot the oponent, but the engine allows bullets to collide, so one defense system is to try shooting the incoming bullet. The difficulty is that you don't know the angle the enemy bullet has been shot, but you can just guess an angle, shot to intercept that angle and then you created a bullet free safe zone you can move. Since firing bullets cost energy you can win by disabling high energy enemy bullets with low energy ones, making the enemy run out of energy
Just notice that the Inductive Proof and Flaws section in your Solving Projectile Aimbots with a Root-Finding Algorithm doc might have a small typo for the 4th and 5th derivatives, which are each labelled with one too many primes. Thank you for the writeup though, it was super helpful!
6:52 for anyone who was confused a derivative is the slope of its function at 2 points so infinitely close together they form one point. The reason a derivative’s x-intercepts coincide with peaks and valleys of it’s parent function is because a line perpendicular to the peak of the parent function has a slope of 0, or a horizontal line.
I stumbled onto your channel and it’s a freaking gem bro. Just sad there wasn’t more content for me to binge haha. Keep up the good work and I’m looking forward to future videos!
Applied maths engineering student here, loving the content. Where did you learn all this, it is there first time I encounter these formulas written this way ! Keep it up. Awesome graphics too
Thank you! If you're referring to the content of the video itself, I've been teaching myself how to make video games (and videos occasionally) for over 10 years now. I even did a degree in it hahaha. I still firmly remember calculus and the equations of motion from college, which helped me figure out the algorithms.
@@MrBoubource ah I see. I learned the basic physics equation (s = ut + 1/2at^2) from physics in college. The explosion metaphor or equation was something I made myself. I also came up with the root-finding algorithm myself, although I'm probably not the first person to figure it out.
I had to do a similar sort of thing for a university assigent a while back, and while it was in 2d, it was still cool to see it make awesome trick shots
Dude By your videos, I would've expected a well-established creator who's been here for a long time. But FOUR? You're doing something right man, I look forward to seeing more content
The explosion model for tracking moving projectiles immediately made me think of Israel’s “iron dome” for intercepting rockets. The explosion model looks like a dome. I would assume they’re using similar maths there?
the video and it's style seem simple, but it's got a lot of subtle details that just pull the whole thing together, great stuff, cant wait for the next video!
I know i'm veeeeery late to ask this kind of question, and it may have a very simple answer, but.... How exactly did you animate those 3d-scenes? (including the flat stickmen?) (also, what program for the animations?)
Having come from the present, I find it extremely funny how when the kangaroo overlords run out of space boomerangs they resort not to a technological marvel, but to the classic "raw chicken in salad" gun
Great Video and Channel. One thing I dont quite understand from the video and the paper is how the wind is factored in since its neither a velocity to add like the shooters velocvity nor a fixed acceleration like gravity. Factoring it in as jerk also doesnt seem to work.
It's really awesome that you not only created this video, but also provided a white paper that goes more in-depth into the process! Thank you for the great content!
![[UNCUT] “บอสณวัฒน์” ลากไส้!! ใครหนุนหลัง "แม่ตั๊ก ป๋าเบียร์" I คนดังนั่งเคลียร์ I 30 ก.ย. 67](http://i.ytimg.com/vi/QlD7mU2KKRk/mqdefault.jpg)
Imagine trying to describe the end to someone
-...And then the fish shoot the kangaroo head in its mouth and destroy it!
-Wow, thats so interesting! Anyway, my friends are here, go meet them!
-Hi guys! Why are you in medical gowns?
-We're from the Psychiatric medical facility №69, come with us please.
WE ARE THE KANGAROO OVERLORDS, SURRENDER NOW YOU BASTAARDS
easy just show them the previous bit
i am very smaAarT
I gotchu: “if you know you know 😉🧐😅”
As a kid, "Why would someone buy seventy bananas?"
As an adult, "Ah yes, the alien kangaroos."
😂
what does this mean
@@ashtimbog As a kid "These examples used in maths problems are silly, no one buys seventy bananas." Yet now as adults "The example used in this maths problem is alien kangaroos, of course, makes sense."
XD
Perfect sense, I find no flaws in this logic!
"And our fish only have a single cannon to defend themselves"
I think you forgot the fact that the cannon has maxed reload and firing speed
when you forgot your minigun so you use the next best thing
@@mantask.9688 If you think about it, this is a CIWS. Which is a point defense mini gun.
@@addisonchow9798 jeez i wonder if they got 2 laser guns
@@mantask.9688 I don't think their current power source could support 2 lasers. They need to research a better power source before doing so. I think a rail gun that shoots like a shotgun is a good counter to the boomerangs. I think the ship shoots a plasma bolt like a star wars laser. A real laser would be invisible to us and we'd only see the turret turning and boomerangs exploding. Not sure why the kangaroos never bothered to invest in multi warhead boomerangs that split up with decoy boomerangs released.
@@addisonchow9798 they spent too much on the paint job
The most amazing thing about captain blubber is not the fact that he defended the empire's hellfire, nor the fact that he found a way to make his cannons into gatling guns, but how he got so many cannonballs on that dinky little ship
his crew makes them pretty fast
his crew makes? crew makes. crewmakes. crewmates. among us
@DroneVaporized
Holy Hell.
@@Dextuctivail sussy 😳
@@Dextuctivail JELLY BEAN POWER, ACTIATE
First example: yeah, very easy, very common, can be seen everyday (cannon aside)
Second example: okay, not as common nowadays and a bit more complex to do, but still “realistic” (extreme cannonball barrage aside)
Third example: W H A T
I’m worried by how he’s using a present example (basketball), a past example (pirates and ships battle) and a supposed future example (the space kangaroos). Can you see the future and are you trying to warn us of what we’ll be facing? Our overlords?
well if you think about it, the third one is actually a present example as well. missile defense systems today likely run off something similar to what was described here.
@@attyy probably the 2nd and the 3rd
As someone who lives in the land of kangaroos: you should be very afraid.
@@attyy I too am from the land of kangaroos and if it wasn't for our fishy friends we wouldn't have made it this long
"You see, there are these space kangaroos, and they are fighting a few space fish, and-" "Are you on meth?"
I'm a calculus tutor, and I'm going to use these videos to teach my students! Very well done!! I love your incorporation of fundamental physics and mathematical concepts in complex applications. Excellent animation as well. I look forward to seeing what you do next!
So in other words you're a professional 🤓??
may need some *slight* censorship because of the single use of "fuck it"
@@thesun5275 meh, I tutor mainly high school and college students, so I’m sure they won’t care
Ur a tutor? Ur named gamer of gaming games bruh
@@wb7551 yeah, outside of education I like games! The duality of man
You can’t say you can skip to 1:54 for no math and then show 2 million basketballs go in the hoop at a similar time without expecting me to go back
I hope this channel grows to millions of subs. So much effort put into these videos
I absolutely love making them
@@b2stud got a patreon yet mate?
@@mitlanderson I don't
@@mitlanderson well guess what
@@EntergeticalakaBot oh?
I’ll be honest, I forgot who you were but I’m glad TH-cam notifications reminded me
glad I could remind you :P
I found you off your bloons video and that video had quality. And now I just finished this quality video. Keep up the great work!
7:51 I love how the turret just flails around firing like a god
The music makes it even better
Firing like a god? New deity: anti-boomerang cannon
This is footage of point defense in Stellaris
@@overloader7900 btw what is the song?
@@xxizcrilexlxx1505 asgard by freq36
Somehow I watched 8 minutes of math without feeling exhausted afterwards, nice
Thid is how you know it's a good video
i gain strength from math
This channel is gonna blow up. Then i can proudly say ive been a sub since your first video 😎
*2
@@delicioushomemadestrawberr8730 well this would be the third technically, but ive been subscribed since his first video.
Same
Pro
same x4
This has to be one of the coolest videos i have ever seen! Cant believe you dont have a bigger audience. Im really intrigued by simulations like this, especially with AI like the one you showed in the other video with the fish that had to survive. Can i ask how or where you make those? I would like to try to make some myself. Thank you
I make most of it in Unity, which is a game engine but it's extremely flexible. Thanks for the praise!
like a teacher telling a math student that cows are not spherical, i jokingly shouted out "WHAT ABOUT WIND" at 0:33
Cows are spherical?
holy cow that was one of the best videos i've ever seen dude
Facts
Like how you've put the canons in a way that they are showing smile faces in the air :D nice easter egg 1:42
Nice egg
Genuinely curious; you state that a general equation for solving for the unknown variable (t) only exists in polynomials that have 4 or less degrees. Why did you reduce your 6th degree polynomial all the way down to the first degree? Why not settle for those general equations of the 2-4th degrees? Additionally, is it quicker to reduce it all the way down to the first degree or is it computationally quicker to not take the derivative 5 times?
its definitely possible to stop at the 4th degree or the 3rd even, but those formulas are extremely long. The 4th degree equation has around 100 instances of its coefficients in it, just for one x-intercept...
it might be quicker than reducing to the 1st degree, but it's very easy to get the formulas wrong
@@b2stud why not just factorise the polynomials to the point where its trivial to solve via null factor law?
@@patrickbaker7014
That's a perfectly fine way of doing it as well, I think the Jenkins-Traub algorithm does exactly that.
@@b2stud Ah ok fair enough, it's just a coincidence that I was teaching myself polynomials a few hours earlier, wanted to see if there was a reason it wouldn't apply lol
Really liked how you broke down the solving of higher order polynomials!! I was trying to figure out how you guarantee finding a solution but differentiating it is clever! 🔥
10/10 will watch again
I'm glad you enjoyed it!
Ok that ending battle actually was fucking hype as shit. Reminds me of those anime where the mc is waaaay under powered but uses his smarts to out maneuver or out wit the enemy.
Fucking banger of a video right here
This is like the the third time I've watched this and I JUST noticed that the hoop is destroyed by the explosion at 0:42
The last 50 seconds were an absolute cinematic masterpiece. On a more serious note, I love these education videos and the fish people!
I like how this is actually something that could be practical. Great video for explaining the uses of solving quadratics+ and some cool motion stuff.
glad you liked it!
Wow not only did you explain math in a way that is easy to understand, you have great animation abilities as well and obviously coding knowledge. You're going places man.
I ADORE the animation in this! This is actually a really good explanation of this stuff, and is very entertaining to watch even if you don't really get any specifics.
Really awesome video ejoyed watching it you are really good at teaching math hopefully we get to see more videos like this
Amazing video! Wasn't expecting this to be you're second video, but damn I sure did enjoy it!
The fact, that he was mostly drunk doing this, makes sooo much more sense😂 i love it
It s truly one of the best content on youtube for me, I love ai, simulations, and stuff like that and your channel is just that, I m really glad I found this, I hope one day I ll be able to code things like you do
You definitely will, just stick to it!
Hey, I dont know enough about math to understand fully, but I think I got the concept. Keep doing this stuff.
Honestly when i saw the btd6 vid i knew this channel would be great, but i never anticipated this level of complexity mixed with dumb pirate jokes. This channel is an honest to god gold mine only 3 vids in
This channel is criminally underrated.
Great video, I feel like I learnt a lot
By the way, I’m confused what you meant at 7:21. Do you still aim for one of the x-intercepts of the original graph, just the final derivative, or something else?
once you find the x-intercept of the line, you can use that to solve the quadratic, then you can use those x-intercepts to solve the cubic and so on until you solve the original line. The original line's x-intercepts are what you want to find.
@@b2stud Oh cool, that makes sense. Thanks for the reply! As I said, great video, hard to believe this is only your second proper one with how well made it felt.
This is the best maths educational content I ever seen.
I bet you had fun making this video
Great vid 👍
hahaha I definitely did
This is definitely the most engaging way I've seen these topics presented.
I love the focus on intuition. It'd be cool if it were possible to help build that intuition from scratch, but it'd lose me almost for sure.
Decent animation, great explanation, and colorful humor? Yep this is gonna be the few TH-camrs I’ll have my notification bell on for!! Awesome video
One of the defense strategy in robocode is this.
Robocode is a programming game, were you can shot the oponent, but the engine allows bullets to collide, so one defense system is to try shooting the incoming bullet. The difficulty is that you don't know the angle the enemy bullet has been shot, but you can just guess an angle, shot to intercept that angle and then you created a bullet free safe zone you can move.
Since firing bullets cost energy you can win by disabling high energy enemy bullets with low energy ones, making the enemy run out of energy
Your videos should be in our physics class
Just notice that the Inductive Proof and Flaws section in your Solving Projectile Aimbots with a Root-Finding Algorithm doc might have a small typo for the 4th and 5th derivatives, which are each labelled with one too many primes. Thank you for the writeup though, it was super helpful!
The explosion example seemed like a bit of a weird way to explain it at first, but then you explained how powerful it can be.
Man, I wish I was as good in physics as much as I love it
It's so cool seeing the logic of the formulas being something so basic
Keep up this amazing work, and your channel might hit the jackpot in the youtube algorithm. Maybe it already has...
Horribly underrated video, I've watched it 3 times over the course if a year and I love it every time. This is why I think physics is so cool
I'm glad you enjoyed it! It's definitely my favourite
6:52 for anyone who was confused a derivative is the slope of its function at 2 points so infinitely close together they form one point. The reason a derivative’s x-intercepts coincide with peaks and valleys of it’s parent function is because a line perpendicular to the peak of the parent function has a slope of 0, or a horizontal line.
"a line perpendicular to the peak of the parent function has a slope of 0, or a horizontal line."
*tangent
perpendicular would be infinite slope
Start: How can we make a basketball shooter that never misses?
End: *space kangaroos*
YES YOU BEAUTIFUL RED FISH!! blow that big fat kangaroo up!!
calm down sir
Fish suck, Roos rule
Bro was edging to it 😭
It's very trippy seeing the cannonballs of the distance be larger than the ones closer up.
I stumbled onto your channel and it’s a freaking gem bro. Just sad there wasn’t more content for me to binge haha. Keep up the good work and I’m looking forward to future videos!
Me too! Glad you liked the content :)
Now this is far more interesting than any of the various math class I have ever taken all the way from algebra to calculus concepts amazing
My time spent in calculus is worth it after all, I actually could understand what he talked about.
check the description, I made a paper which goes into detail about the concepts
This is the best channel ever fr fr
Applied maths engineering student here, loving the content. Where did you learn all this, it is there first time I encounter these formulas written this way !
Keep it up.
Awesome graphics too
Thank you! If you're referring to the content of the video itself, I've been teaching myself how to make video games (and videos occasionally) for over 10 years now. I even did a degree in it hahaha. I still firmly remember calculus and the equations of motion from college, which helped me figure out the algorithms.
@@b2stud I was talking about the maths, they didn't teach me these ones lol
@@MrBoubource ah I see. I learned the basic physics equation (s = ut + 1/2at^2) from physics in college. The explosion metaphor or equation was something I made myself. I also came up with the root-finding algorithm myself, although I'm probably not the first person to figure it out.
@@b2stud I liked the metaphor as well as the algorithm. Good job!
the physics equation is a direct consequence of newton's first law + integration
I had to do a similar sort of thing for a university assigent a while back, and while it was in 2d, it was still cool to see it make awesome trick shots
Happy your channel wasn’t a one stop spot on btd6, you made an amazing video here and it has boundless potential for more
The animation is a healthy mix of education, entertainment, and shitpost
This is good stuff
I’m curious about 7:00 where you mention finding the roots to a certain precision using a binary search method. Would Newton-Raphson not work instead?
This is fantastic. It's like three blue one brown but way more inviting. Like i suddenly feel the urge to go learn everything i can about polynomials.
This is actual one of the best videos I have seen, great visuals for anyone watching just cuz they want to watch, also funny
Dude
By your videos, I would've expected a well-established creator who's been here for a long time. But FOUR? You're doing something right man, I look forward to seeing more content
The explosion model for tracking moving projectiles immediately made me think of Israel’s “iron dome” for intercepting rockets. The explosion model looks like a dome. I would assume they’re using similar maths there?
simulations like these are always amazing
too much is never too much
the video and it's style seem simple, but it's got a lot of subtle details that just pull the whole thing together, great stuff, cant wait for the next video!
I appreciate you!
damn these videos are so well made they should have 10x more views
Look at the back of the boat at 4:46
Your humor and knowledge are amazing and my day has improved from experiencing it.
5:21 nah with the fire rate demonstrated at the end by both sides I think they’ll be fine
Great video! It manages to be both entertaining and informative. I'm almost certain this channel will blow up!
This is fantastic please keep creating you are so good at every part of this! So entertaining!
I LOVE this! AM going to be a Physics university student from oct 1 onwards so this makes me hyped af for that!
Good luck with your classes!
@@b2stud Thank you!
8:14 Can't belive i laughed so hard at this thing
always to remember this:
• Height, width and length - Position
• Gravity - Magnus Effect
• Velocity or how fast it is - Speed
• Mass
5:06 when you die
bro this channel is underrated
i love the fish returning from the bt6 video. it would be hilarious if these example became recurring little characters/plots for any future videos
Seems we think alike my friend ;)
*foreshadowing intensifies*
I started laughing when the two ships fired a hose of cannonballs at each other
This was a fantastic vid well done! definitely make more if your not already getting enough praise
This is so amusing to a degree i can't express, so nice.
Assuming you're working with unity, did you have to use DOTs or that's simple unity ?
I know i'm veeeeery late to ask this kind of question, and it may have a very simple answer, but....
How exactly did you animate those 3d-scenes? (including the flat stickmen?) (also, what program for the animations?)
I used Unity for most of the animations as well as After Effects for the 2d stuff. The flat stickmen are unity objects with sprites being switched out
Great video make sure to make your title and thumbnail more eye catching. This video needs to blow up
Your videos are great and I enjoy watching them even though I’m not very familiar with this complexity of maths.
im glad you still managed to enjoy it
youtube recommendations be hitting mad different at 1 am.
Truly a quality video.
glad you liked it!
Having come from the present, I find it extremely funny how when the kangaroo overlords run out of space boomerangs they resort not to a technological marvel, but to the classic "raw chicken in salad" gun
this is the highest quality youtube video ive seen in a while
1:51 did anybody ANYBODY notice that the balls are making faces like a :) a ;) and a :d
The math behind this sh#t is perfectly organized chaos
This video was an absolute educational and comedic masterpiece from start to finish. Bravo
The animation is beautiful.
2:32 good old scream
i find the fact that the animal native to australia shoots boomerangs highly comedic
AMAZING
You should have started your channel off with this. It's a lot more high quality and made for a more general audience
i think the btd6 video has a much broader scope than this one, which is primarily focused on complex maths
1:00 goodbye secondary hoop
Great Video and Channel. One thing I dont quite understand from the video and the paper is how the wind is factored in since its neither a velocity to add like the shooters velocvity nor a fixed acceleration like gravity. Factoring it in as jerk also doesnt seem to work.
Probally the absolute best computer science video I have ever seen awesome work
Thank you kind sir
7:50 *_that one hecker in a random shooting game with aimbot_*
It's really awesome that you not only created this video, but also provided a white paper that goes more in-depth into the process! Thank you for the great content!
Already knew all of this but your animations never fail to make me laugh. Cool visualization too.
This is genuinely one of the best channels on TH-cam.
The fact that this is already used today is insane. The CIWS and C-RAM systems all use the same method to intercept projectiles.