Be Lazy

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Be Lazy

Рет қаралды 4,644,714

Күн бұрын

Here's a top tip for aspiring mathematicians from Oxford Mathematician Philip Maini.
Be lazy.
More advice (and maths) from Philip in his 1st year student lectures on Fourier Series, the latest we are making available to you all. • Fourier Series and PDE...

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@rn-om3hu 4 ай бұрын

Its flattering that youtube suggested this to me.

@mohitsethi3509 4 ай бұрын

Greattttt comment

@totsh2056 4 ай бұрын

😂

@friday13michael 4 ай бұрын

I’m impressed you found a way to make this about yourself.

@ralphmagtibay17 4 ай бұрын

I still don't know how I survived algebra 🤣

@NightsideOfParadise 4 ай бұрын

@@friday13michael You are the guy who sees narsistic people everywhere.

@VeteranVandal 5 ай бұрын

I'd say this is great advice for more advanced students.

@olliecole7163 5 ай бұрын

It's great advice for all students, being a good mathematician is being an efficient mathematician

@shemmoirichards 5 ай бұрын

@@olliecole7163for the lower levels I think "being lazy" is already emphasized too much. For example the emphasis placed on memorizing Formulas and Steps, over intuitive understanding. But it seems the opposite is more common at higher levels.

@jmcsquared18 5 ай бұрын

@@shemmoirichards yes in grad school, finding the lazy approach is usually what's novel and interesting mathematically. But I agree, at the undergrad levels, hard work pays off when it comes to checking/showing your steps carefully.

@VeteranVandal 5 ай бұрын

For less advanced students, this advice wastes more time than it saves. If you don't understand well what you are doing, you are better off doing more work, trying to think of that lazy way might take time. It'll happen, but it'll be a while.

@Shubham-hd1ng 4 ай бұрын

@@VeteranVandal this Happens with me many times. While solving que finding clever ways is very satisfying and interesting but during tests since it became a habit of mine I tend to keep finding clever ways even when I know the proper way to reach the answer, and end up wasting some time.

@hisanuswat4359 2 ай бұрын

My lazy ass not even solving the problem:

@paris6604 2 ай бұрын

LMFAOOO

@iiiiiiiiii_o_O Ай бұрын

@@paris6604Lmfao

@batoDelarosa-c6f Ай бұрын

HAAHHAHAHHAHHAH

@knampf9779 Ай бұрын

This is gold.

@TheFakeSkull Ай бұрын

Lmaooo

@ZarahMcIntosh Ай бұрын

Yup. Laziness breeds efficiency. It's an important virtue to have.

@Akshar-ic3if 20 күн бұрын

😂😂😂😂😂

@spiderjerusalem4009 5 күн бұрын

Yeah, the main point was to dedicate to solving problems even if it means taking an unimaginable amount of time, akin to solving a book's problem without looking at manual solutions

@raymondz595 4 ай бұрын

That is not being lazy, thats being creative and efficient.

@bishalsarkar.8948 4 ай бұрын

Right

@vipul3967 4 ай бұрын

Lazy people are creative they’ll always find ways you do thing easily without putting much effort.

@raymondz595 4 ай бұрын

@@vipul3967 Lazy people in general are neither creative nor find ways, let alone always.

@UnkownLol-ju7ge 4 ай бұрын

@@raymondz595really depends on what type of lazy someone is. U can be lazy in a way and hard working in another at the same time.

@7aydarah 3 ай бұрын

Bill Gates: “I choose a lazy person to do a hard job. Because a lazy person will find an easy way to do it.”

@MrCurse 4 ай бұрын

"Why are you not cleaning your room!" "I'm a good mathematician"

@nmg1909 4 ай бұрын

😂😂😂😂You are lazy!

@walternanez1929 4 ай бұрын

😂

@moltexamrit2255 4 ай бұрын

Fine a clever way toh clean your room faster

@deepaknanda1113 4 ай бұрын

😂😂😂

@technicalmaster-mind 4 ай бұрын

😂

@YaNeK92 2 ай бұрын

Bro was preaching "Work Smarter, Not Harder" to college students about to exit with mountains of debt in student loans. Bless his soul! 💯

@aeea3306 2 ай бұрын

Tsk tsk, you shouldve picked the rich parents option before starting life

@Archemik99 2 ай бұрын

This is Oxford University. Annual cost of tuition is around £9000, which can also be waived if you receive bursary. This is the UK, not one of the broken US universities where you have to pay a few hundred thousand dollars for education.

@YaNeK92 2 ай бұрын

@@aeea3306 Yeah well, I ended up going single player mode with divorced parents of average income, then migrating overseas. The game has been alright so far :)

@YaNeK92 2 ай бұрын

@@Archemik99 £9000 per semester is still quite up there once you convert the currency to any other in the world, especially that if it's given as a loan, it will continually compound.

@jacobm2625 2 ай бұрын

if they're in a math class this advanced, they'll be fine.

@Supercatzs 3 ай бұрын

for those wondering in this particular example, when it comes down to fourier series, the function you're trying to turn into sines and cosines may be either even or odd, and in the case of fourier series, you decompose the function into its even and odd parts, however, if the function is just even, for example let's take f(x) = x^2, there are no odd components, so finding the b_n term, which is the sine component, sine is odd, and there will not be any odd component, so the integral with respect to x^2*sin(pi*xn) from -pi to pi for example is going to be zero due to there not being any odd component in an even function.

@rafael7899 2 ай бұрын

Wait - I was just going to say that

@YaNeK92 2 ай бұрын

You beat me to it! Nah, just kidding. As Homer Simpson would say: "What was all the stuff you said about the things?" 😂😂😂

@mahyargharehdaghi9383 2 ай бұрын

@@YaNeK92 one day we will learn it 😿

@YaNeK92 2 ай бұрын

@@mahyargharehdaghi9383 I don't think so to be honest. Much sooner will be in control of an Android AI powered bot who will use similar equations 😄

@mahyargharehdaghi9383 2 ай бұрын

@@YaNeK92 we've gotta adapt and evolve faster to have any jobs in the future at this point 😂

@annonuhm8400 4 ай бұрын

"How many chalkboards do you need in your auditorium?" "I need ALL OF THEM!"

@fri_punt_so 4 ай бұрын

how does he write on the top one xD?

@arbelsonnenfeld7031 4 ай бұрын

@@fri_punt_soyou can pull them up and down. The point is to have what you previously wrote on the board stay for longer before you have to erase it

@tm92489 4 ай бұрын

Correct answer "Yes"

@nicholaslittle2312 4 ай бұрын

Also must know advanced white board manipulation theory.

@ideegeniali 4 ай бұрын

He's got none! No chalkboards. No chalks. Only whiteboatds and soft tip markers!

$@mechafractal$

@mechafractal 5 ай бұрын

To be a really good mathematician you have to have at least 12 whiteboards

@user-og2wt3le4j 4 ай бұрын

24 for a future Nobel Laureate.

@vaibhavshukla6926 4 ай бұрын

Are you referring to Fields medal? @@user-og2wt3le4j

@belgagrave 4 ай бұрын

@@user-og2wt3le4j48 for

@belgagrave 4 ай бұрын

@@user-og2wt3le4j48 for

@baronvonbeandip 4 ай бұрын

I just got my first one with wheels and it is reversible. I love it so much. It's not an almighty chalkboard, but I can't clean the chalk effectively where I live.

@LordDeuce-ul7my 3 ай бұрын

Efficiency is not laziness. It saves time and energy for you to get more work done in less time.

@alansmithee419 2 ай бұрын

The point is that lazy people tend to be more likely to look for workarounds so they don't have to do as much where hard workers may just throw themselves at the problem until it's done. It's not literally "be lazy." It's "take a note from lazy behaviour - some of it works here."

@primeirrational 3 ай бұрын

This only applies after you have sat down and gone through the material very thoroughly. Only with a solid foundation can you bend numbers at your will. In other words, don’t blindly memorize formulas, methods, etc. Instead, you have to understand why they are how they are.

@ARJ1050 4 ай бұрын

Finding the cleaver way to solve the problem is the hardest thing 😂

@goviljoson5192 4 ай бұрын

Wohi toh Sara khel h mathematician bn ne ka

@MonaLisa-jj3tb 3 ай бұрын

Not if you're smart enough

@nomooon 3 ай бұрын

Having a cleaver definitely takes care of problems for me

@Creati-01 3 ай бұрын

yh u cant simplify(lazy) something if u dont understand the thing

@tegathemenace 3 ай бұрын

@@MonaLisa-jj3tb Regardless. Compared to finding the other solutions it's the hardest

@meppeorga 4 ай бұрын

As an IT guy who heard this advice years ago I would definitely say that it doesn't apply everywhere. Sometimes you just need to do something even if its a bruteforce approach before you're able to learn from it and do it better next time. Laziness is something you can pull off when you have the knowledge and experience to be lazy.

@user-zk4zf6sg7v 4 ай бұрын

Indeed , that's what I'm thinking

@brampelberg9335 4 ай бұрын

I struggle with this, my math teacher also always said to be lazy, and I took this advice into my programming. So now I often just sit there staring at my screen trying to think of a way I can do something easier, which is not necessarily a bad thing, but it is hard to not overdo it.

@mariusg8824 4 ай бұрын

Sure, but you should at least regularly try to make this step backwards. If you don't see anything, you can still bruteforce

@fullmetaltheorist 4 ай бұрын

Lazy clean code beats spaghetti code any day. Same with physics and math.

@HerrProfM 4 ай бұрын

That's exactly right. And this applies pretty much in field that uses math.

@Undergraddiary 3 ай бұрын

For those wondering, the trick to those integrals is (I think) the fact that your integrating a regular trig function over -pi to pi (which is a whole number of periods) means you can immediately tell the integral is 0. If you look at a sin or cos graph from 0 < x < 2pi, you see that the amount of space above the graph is the exact same as the amount of space below the graph, so the integral is 0. Think I explained that accurately enough 😅.

@Siya-zp8ik 2 ай бұрын

This is not only the imp question class but also full concepts in short time class...with each and every ques we learn a concept Thankyou so much sir❤

@muhammadizhar4817 5 ай бұрын

The professor is right in the sense that mathematicians avoid doing something over and over or doing it with brute force or by applying direct definitions. Mathematicians try finding patterns and developing formulas.

@Quedemut 5 ай бұрын

How long have this class been in?I mean year or month

@user-fk2uj2vj3s 4 ай бұрын

While mathematicians in the past did piles of pure brutal calculations. And i guess most of this simplicity comes only after big calculations

@MrMctastics 4 ай бұрын

@@user-fk2uj2vj3sWhen you ask a professor how they made it through hard classes and they're like "oh I just did every problem in the textbook" 💀. The academic life ain't for me son

@maythesciencebewithyou 4 ай бұрын

Mathematicians do use computers to brute force

@ozboomer_au 4 ай бұрын

developing methods by induction, maybe....

@_KITE 4 ай бұрын

Finally, decent content on this platform.

@opslts.6024 3 ай бұрын

Bro youtube is just an algorithm, think twice before you watch/click on something and 90% of the time you'll get more decent content

@kszwomcszkaszky3291 3 ай бұрын

If you stopped watching useless stuff you would stop complaining and feeling like a victim. KZfaq is not an evil organism that manipulates you to watch Andrew Tate and become a sigma male.

@BruceWayne-us3kw 3 ай бұрын

If KZfaq is recommending junk content then that’s on you. KZfaq uses an algorithm based on your internet activity to make those recommendations.

@CastleHassall 2 ай бұрын

there are LOADS of very interesting audiobooks and lectures on this app.. just look for them and you'll get more reconnected

@archanadevi2480 2 ай бұрын

Can any of you tell me that how is the whole class be a able to hear the voice. No, sort of mic is looking there😅

@vibhasingh697 3 ай бұрын

He is absolutely right and this helps us enhance our analysing capacity too But out of context he sounds so soothing and it feels like I am talking to a genius person

@siegfriedkleinmartins7816 Ай бұрын

Saving time is not lazyness. To live is a race against time itself

@bluetempo22 4 ай бұрын

The cool thing about this lesson is that it applies to things outside of mathematics.

@sitproperlywhilewatchingph423 4 ай бұрын

How ?

@eriboyer2229 4 ай бұрын

@@sitproperlywhilewatchingph423 How not?

@sitproperlywhilewatchingph423 4 ай бұрын

I was just asking what are those things outside of maths that we apply , I have no idea

@ap-qd9xf 4 ай бұрын

the way how math problems are getting solved can be applied to anything for me, its so cool

@ddebenedictis 4 ай бұрын

True, my dad once told me he thinks lazy people make good employees, because they devise ways to make the job easier. This can then be passed along to other employees, raising efficiency and effectiveness. That's the theory at least. In practice I think it depends a great deal on the nature of the work. In many scenarios a lazy worker would simply produce less.

@44godson 3 ай бұрын

Great point. If a person is so steadfast on the problem. Instead as you say, is there ways to simplify, or to come at another way. Great video

@noorgulzar8824 3 ай бұрын

This useful advice not only for mathematics but for other things in life To Save Time.Thank you ,Sir.

@vandananegi5408 4 ай бұрын

How many whiteboards do you need? Him:Yes?

@user-np8oj3kv4u 4 ай бұрын

"Inside being lazy we must be patience". Mariam Merzakhani. Fisrt woman who win fieldz medal.😊❤❤❤❤❤❤❤

@AshwinMaloo79 2 ай бұрын

Dhanyavad 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

@pujasinharoy7116 3 ай бұрын

This advice is a game changer for real. I used to be pretty good at mathematics in high school (I’ve been an A+ student all my life), but my preparation for advance mathematics went downhill post that as I couldn’t figure out the trick to differentiate b/w high school math and the math that professor is referring to. I finally get it now after a year!

@RohanXVII 4 ай бұрын

I do that and my teacher will be like "you skipped a step"

@Bollibompa 4 ай бұрын

Typical if you use techniques more advanced than the level of the course.

@idk-what-bruh 3 ай бұрын

"there goes your 1 mark"

@shaheer_ahmed__69 3 ай бұрын

@@idk-what-bruh😂💯

@kylejohnson8447 3 ай бұрын

This aint high school buddy

@user-ju2pl8wr2d 3 ай бұрын

😂😂

@maqil3623 4 ай бұрын

His lazy and most people think lazy is different lazy. So listen people, please dont be lazy.

@mewomewow 4 ай бұрын

Yup. The lazy he means here is efficiency.

@maximushermanite 2 ай бұрын

Don’t be “lazy”, but be “lazy”. Got it!

@AngelaAcquista 3 ай бұрын

Yess optimistically I like to call myself efficient ✨️

@laythbasbous8340 3 ай бұрын

I do agree with this Sir 100% it brings back memories 😅

@kelly4187 4 ай бұрын

I used to say this to my students all the time. "Maths is for the truly lazy." If it weren't we would keep adding everything rather than multiplying. Continuously multiplying rather than finding a series. And so on. Finding the simplification is the act of a person saying "oh I can't be bothered to do all that" and finding a clever workaround that then shows an interesting property you never knew. For example when I myself taught Fourier Series I made a point of going back over Odd and Even functions and their properties when added, multiplied, and integration of a function which is odd or even about the midpoint of the interval. This was after doing the longhand method for a while, and someone ALWAYS protested me doing the odd/even stuff, until I gave my explanation about how this is the TRULY LAZY thing, and blow their socks off with the sorts of simplification you can make.

@wain___614 4 ай бұрын

In my fourth year of High school, a teacher got a bit angry with me because I kept finding easier/simpler ways of solving math problems. First year,of college, the lecturer encouraged me to keep doing it.

@ArthaStramare 2 ай бұрын

@@wain___614You must be really smart...

@indiechik4868 2 ай бұрын

@@wain___614I truly believe from an American perspective a few teachers from my highschool in Florida was like this and college was a breath of fresh air. Students should finish high school from home asap and go straight college or intergrate highschool into college

@nilmerg 2 ай бұрын

i was in a physics class last week talking about vectors. there was a point where i looked at the example we were working on that was taking like 20 minutes to get through. "... can't we just use the law of sines?" took like 5 minutes that way. especially bc of my primarily inattentive-type ADHD, i hate spending more time than i have to to get things done. 😂 i want more time to play games.

@hihi-m9p Ай бұрын

everyone is truly lazy

@steniodeassis 4 ай бұрын

Professor Maini! A great source of inspiration!

@Shani..9272 Ай бұрын

As a math's teacher..i can confirm ...its true 💯

@faissalatrouz8742 2 ай бұрын

I would argue that the first way is the lazy way While what he called being lazy is creative and efficient

@TheHigherFury 4 ай бұрын

This is true for so much. Not just math, but excel formulas, work processes, programming... You don't have to aim to be a mathematician to take a step back and find an easier way to do work by automating it or condensing it

@ololh4xx 4 ай бұрын

this man speaks an universal truth, not constrained to mathematics. I think he knows it :-)

@sustainableliving6319 3 ай бұрын

Don’t see his name anywhere. Seems disrespectful to just call him ‘this man’

@ololh4xx 3 ай бұрын

@@sustainableliving6319 congratulations on the most nonsensical sentence of the day. Would you care to share yet another word salad? Your audience awaits ...

@sustainableliving6319 3 ай бұрын

@@ololh4xx Thank you. I mean, what’s his name? We’re appreciating his work, should be credited with his name.

@amvideos1041 2 ай бұрын

@@sustainableliving6319 professor maini

@ArmoredG 26 күн бұрын

This man is right, and teachers at school told students to use their complicated methods. For real even if my answers right they not accepting it if its not their method

@MiKEY_SANZ 9 күн бұрын

This is perhaps the most important short I’ve ever watched

@vedantjadhav7805 4 ай бұрын

using definite integral properties, since cosx is even function it's graph would be symmetrical wrt y axis, hence it would be twice intg(cosx) from 0 to a; and sinx being odd, it's graph would be symmetrical wrt origin so that term would become 0.

@robinharwood5044 4 ай бұрын

Errr … yes?

@d7home2129 4 ай бұрын

Also the cos integral is zero because in this case it is -pi to pi

@HarithhJsudass 4 ай бұрын

thats not laziness thats being efficient

@cat-des650 4 ай бұрын

using trick can mean something many thins 😅 one of the things it can mean is breaking some laws.So, this doesnt work on all problems and you are kind of ignoring the idea and just calculating . i think using trick is good when you are trying to understand the problem and the idea some times like a backdoor method😂.

@roybatty2979 4 ай бұрын

You got the joke, congrats

@HilbertXVI 4 ай бұрын

If you weren't lazy you wouldn't necessarily think of a more efficient way

@arishemthejudge6780 4 ай бұрын

Yea but imagine doing that in an exam? Wouldn’t work

@franklinemix8048 4 ай бұрын

Or you can say working smart.

@kgt9535 2 ай бұрын

That's NOT LAZY....that's efficiency.

@user-lz1yb6qk3f 2 ай бұрын

This is exactly what I need. I'm trying to calculate an equation that includes three given points on the plain. I've tried to do it like I have compass and straight edge. I have constructed the median perpendicular of two given points and the intersection point of two given straight lines and I need to combine them to make the center of the circle. The math already looks messy and complex. I need to see connections, not a mess.

@isakrynell8771 4 ай бұрын

This is good advice for a lot of things in life. Not just mathematics

@yaseen6176 4 ай бұрын

This isn't laziness, this is time management.

@OsamaNemrawi Ай бұрын

In engineering, we use rigid and fixed equation templates that we do not change, but we always try to find easy ways to solve problems and search for the most comfortable ways. Good advice.

@intirajyalakshmi9370 18 күн бұрын

You have to be lazy ❌ You have to be clever✅

@jeeboi347 4 ай бұрын

"Don't crunch the numbers like a madman"

@storeflash7959 3 ай бұрын

God is about to come through 🎉🎉🎉❤❤❤❤

@GameGamerXL 3 ай бұрын

This is a great advice for programmers as well. Taking a step back to reimagine the code and making it as simple as possible helps alot 👍 . A good abstracted code can save so much time and resources

@ilanaizelman3993 2 ай бұрын

One of the best advices I heard. Can be applied to different stuff as well

@FPS.Lancer 4 ай бұрын

"if u see a good move, look for a better one" I dunno who said it, but he's got a point.

@Luvinist 4 ай бұрын

This is good advice for other things as well.

@enekaitzteixeira7010 Ай бұрын

That's using your intellect and knowledge in an smart, optimal and effective way. Can't ask that on YT.

@RiskierGoose340 3 ай бұрын

I literally experienced this in school a few days ago. It’s a standard Mean Value Theorem problem with sin, gotta find C, which is the Secant line… wait, the Secent line is just essential the average value. Sin function goes completely horizontally. With that info alone, you can just safely assume the Secant line is 0 and save 2 minutes of calculations. Same for Cosine and Tangent functions, so long as they’re by themselves.

@OngoGablogian185 4 ай бұрын

Nice to know I'm already halfway to becoming a really good mathematician.

@nil6073 4 ай бұрын

Finding the "trick" is more work than just doing the question normally.

@jonathan3372 4 ай бұрын

But the end result doesn't just give you some number to look at, you learn something that can be applied to a problem somewhere else as well :)

@kameronpeterson3601 4 ай бұрын

The trick here is that cosx is an even function and you're integrating over [-n, n], in this case [-pi, pi]. Even functions are mirror symmetric so the left side of the graph, [-pi, 0] will cancel out the right side of the graph [0, pi] and the result is 0. Checking for this is waaaaayyyyy easier than doing the integral imo.

@jorianweststrate2580 4 ай бұрын

I saw the trick in 2 seconds lol, it's pretty standard if you do anything with mathematics

@gaetanl5590 4 ай бұрын

Once you notice a trick, you have more chance to notice it somewhere else. But a boring computation won't make you learn shortcuts like that.

@suntzu1409 3 ай бұрын

@@jonathan3372 you don't know how long finding the trick will take. It can be equivalent to solving 1 question, solving 10 questions or solving 100 questions

@dianemoril7612 2 ай бұрын

it's true not only for mathematics. in every aspect of life, you always gain a lot by stepping back and rethink your situation. it's even more lucrative in your personal growth.

@husseinmoaz 3 ай бұрын

I’ll always try to save time and I realize that the final result is just wrong 😂

@landshark7154 3 ай бұрын

Just integrate it......5 minutes Sit back and look at it...2 minutes. Then solve it the time saving way... 3 minutes. Overall time...5 minutes. Thanks professor

@darrenowen76 3 ай бұрын

him: is there a trick? me: immediately opens chat gpt

@bobtausworthe 2 ай бұрын

Never thought about it in that way but i carried that laziness into my career in embedded software and became very successful

@aaronwon6056 2 ай бұрын

That's not being lazy, thats being smart.

@SpaghettiniFiveMillion 4 ай бұрын

That's the way classes should go. Students should be taught how to learn and not just be bombarded with raw theory and methods.

@DerNamenvolle 4 ай бұрын

....you say as we see 10+ boards full with nothing but raw theory and methods which one will have to memorize for the exam

@aronhegedus 4 ай бұрын

I remember having him as a lecturer in uni, he was really good! Remember he wrote his lowercase “p”s quite strange so at the end of the year I got him a mug with all the times he’s written “p”s on the whiteboard and he liked it! Wonder where that’s knocking about:)

@itxgod3946 Ай бұрын

Whats his name

@paddykthedj 2 ай бұрын

This will definitely see you through life. I would use this Equation daily to solve issues

@boora789 16 күн бұрын

My maths teacher already given us this advice many times in the class last year❤

@papaonn 4 ай бұрын

that's why I always photocopied my friend's math assignment.

@demonslayer8934 4 ай бұрын

❤😂

@lemye23 4 ай бұрын

mega lazy

@abhinashkumar3161 4 ай бұрын

😂

@suntzu1409 3 ай бұрын

Works like a charm ....... until your friend becomes mega lazy and starts photocopying someone else's assignment

@letsplaygames9941 4 ай бұрын

"How the hell did he write on the upper boards..."💀💀💀

@kodaliSureshbabu 4 ай бұрын

💀 spider man

@zipzap6783 4 ай бұрын

He can pull the boards down 😅

@aleem1984 21 күн бұрын

This is not laziness, this is the technique to solve questions.

@elreturner1227 Ай бұрын

They should implement this in schools this is amazing for students that understand anything but can’t skip the class because there are a few things they don’t know for example you know all of algebra 1 except polynomials and so you’re bored the entire time and you understand polynomials immediately as well but you’re stuck going over the same things so the rest of the class gets it “finding a trick” would be so much useful for those types of students

@mrnarason 4 ай бұрын

All of advanced math is basically clever tricks and shortcuts

@jigglyCroissant 4 ай бұрын

😂

@jigglyCroissant 4 ай бұрын

Stop yappin bruh

@syed3344 4 ай бұрын

Professional yapper

@mrnarason 4 ай бұрын

@@jigglyCroissant?

@mrnarason 4 ай бұрын

@@syed3344 professional pp swallower

@shubhamjain2442 5 ай бұрын

Respect

@ignantxxxninja 4 ай бұрын

He’s talking about integrating an odd function from -L to L where the definite integral will equal 0. This is Fourier series and there are times where using basic properties will help the meticulous process of finding some coefficients for the approximations we’re looking for.

@loayahmed9605 4 ай бұрын

Screw Fourier series

@ignantxxxninja 4 ай бұрын

@@loayahmed9605 indeed.

@Anonymous-fr2op 4 ай бұрын

The second integration was calculated, since cos(x) isn't odd function

@ignantxxxninja 4 ай бұрын

@Anonymous-fr2op I'm not sure what he was integrating, but you can multiply cosine with an odd function like x or x^3, resulting in an odd function and the property holds. But yea, you may be right, I just noticed he was working with Fourier series and is most likely teaching partial differential equations.

@abebuckingham8198 4 ай бұрын

I've solved countless problems simply by looking at trivial cases. It's amazing how many people overlook them and find complications instead.

@ianstopher9111 3 ай бұрын

Marcus Du Sautoy talks about laziness and the avoidance of doing mindless work. Mathematics is about finding shortcuts.

@bijipeter1471 3 ай бұрын

Thank you, so much

@ramunasstulga8264 5 ай бұрын

to be really good in mathematics, you need a capybara 😭

@anishray6107 5 ай бұрын

And you also have to be creative

@kylearendt8299 5 ай бұрын

A quick way to destroy mathematics is to skip proofs altogether. Just trust appeals to authority instead.

@luminousvalentine8011 5 ай бұрын

Proof by intimidation

@freepimaths9698 5 ай бұрын

@@flsendzz Before you start writing your proof, you should ask yourself "why is this statement true/false", and have a good idea in your mind of how you would explain why or why not if you were asked that question by someone else. Once you've convinced yourself that the statement must be true or not, if that reasoning is rigorous enough, then that simply is your proof, and you can write it out in plain English or mathematics. Otherwise, if it's not all quite there but you have a general idea, start writing out your argument more mathematically and see what you can argue from there. In other words, have a solid idea of what your argument is going to be before trying to write a formal proof, and then convert that argument into the language of mathematics. At the end of the day, a proof is simply a rigorous explanation of why a statement must be true/false.

@zipzap6783 4 ай бұрын

@@flsendzzI would recommend the book," How to Prove it" by Daniel J Velleman.

@crbgaming6683 4 ай бұрын

No proofs are must to clear concept 😂areu a arts student

@artophile7777 3 ай бұрын

Proof by faith.

@Galdeon87 Ай бұрын

My father always told us :. Observe the lazy people Listen the wise ones Study the hard workers Combine them to your way

@jumbo_pruto 2 ай бұрын

For those who are trying to find the topic that sir is discussing, it's "Fourier Series" where expressing an algebraic function can be expressed as a sum of Series of sine and cosine. The clever trick he is speak is about the utility of integral of odd and even function.

@AnoNymous-bm5cq Ай бұрын

Must be applicable to many other things irl such as business marketing. Thanks ❤

@IlTjaylI 3 ай бұрын

God bless you. This is the first Olympiad question I've ever solved. ❤🎉

@trungduong7526 2 ай бұрын

It is great advice for everything. Imagine efficiency sky rocketed if everyone just follows this simple trick...

@Meleeman011 3 ай бұрын

i admire those who can come up with ways to compute things with a piece of paper and not a computer

@SirajumMunira-lv8tu 10 күн бұрын

It's VERY GOOD, and it actually works 👌👌👌

@kristofer3096 2 ай бұрын

if only we all had great teachers

@tze-ven Ай бұрын

Provided that you are ready to put lots of energy to think about the simpler way -- that is the hardest part, really.

@digvijayIITR25 3 ай бұрын

We can use the concept where the integration of odd function is equal to 0 where the limit goes from -π to +π

@mclandeg1 2 ай бұрын

25 years software engineer here and this 💯 true all the time

@Testchannel_3 3 ай бұрын

My High-school life is finally validated. Someone please send this to my math teacher (Mr Baron) who always complained when I shorten my w/outs.

@niqy9778 2 ай бұрын

“Ok so how many whiteboards will you be needing?” “Yes”

@__kunal.chaudhary__ 3 ай бұрын

integration of a odd function from - infinity to infinity is 0 .so ,basically for a even function f(x) bn will become zero and for a odd function f(x) ao and an will become zero

@p.r.ochannel9466 3 ай бұрын

This guy is wise, entire appreciation to u sir❤.

@jackheinemann1994 3 ай бұрын

I'm so glad I never have to do Fourier series and transforms and PDEs by hand again...ever

@s-code-b 3 ай бұрын

I never, ever expected this to come, especially after many years. Although I am still mediocre, I feel exuberant & exonerated. Thank you, gracias, xie-xie, merci, 🙏, on & on.

@God_emperor_Doom 3 ай бұрын

That's not lazy that's creative

@jdanielortega 2 ай бұрын

Lazy and resourceful are two terms you don't want to have mixed up.

@powerdude_dk 2 ай бұрын

This is right. But it's actually harder for most students to spot the simpler way. Many tend to overcomplicate things. And you won't really get it, until you've experienced both.

@FURIOUSAM31 3 ай бұрын

Used to get bad marks in maths because I did zero homework. Prof used to give so many that you'd be busy for at least two hours to finish them. She saw I wasn't doing them so started giving me just one harder equation to do instead. Nailed it then