Be Lazy

Here's a top tip for aspiring mathematicians from Oxford Mathematician Philip Maini.
Be lazy.
#shorts #science #maths #math #mathematics #stem

[@VeteranVandal]

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

[@olliecole7163]

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

[@shemmoirichards]

​@@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]

@@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]

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]

​@@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.

[@rn-om3hu]

Its flattering that youtube suggested this to me.

[@mohitsethi3509]

Greattttt comment

[@totsh2056]

😂

[@musashi.miyamoyo]

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

[@Argetlam17]

I still don't know how I survived algebra 🤣

[@SonOfMorning]

​@@musashi.miyamoyo You are the guy who sees narsistic people everywhere.

[@JimSpelman]

I often say to my high school math students, "Work smarter, not harder. That is not being lazy; it is being smart!" Much of mathematics is recognizing patterns. With much practice, the math actually gets easier as you advance. Calculus actually possesses a beautiful elegance and simplicity once you arrive to that peak. The challenge is getting to that peak.

[@NinthHeavens]

I need to see that peak

[@darknessbelow3888]

Einstein probably reached that peak at like 7 years old

[@Js.a.weird.person]

How can I get the peak ???

[@daniellerosalie2155]

That is great. I was a slow-learner in early elementary school, but I ended up majoring in math (and tutoring college math) in my twenties. I studied many formulas and memorized quite a plethora of them.

[@Js.a.weird.person]

@@daniellerosalie2155 can you tell me ur journey to get rid of the learning problem?specialy in a hard subject like math???

[@ZarahMcIntosh]

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

[@Akshar-ic3if]

😂😂😂😂😂

[@spiderjerusalem4009]

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

[@BELAJARprogramAJ]

​​@@spiderjerusalem4009Atleast u got the motivation from the laziness, after that it takes a lot process to solving the problem and then u gain the solution for the problem so u can more lazying urself lol

[@Ken-er9cq]

The hard part is spending the time understanding the mathematics and learning the tricks. I heard one guy described as knowing all the tricks in probability theory, things that are useful in proving convergence. You don’t get to that point without spending a lot of time using them.

[@TheJockerproductions]

This feels like linkedin

[@hisanuswat4359]

My lazy ass not even solving the problem:

[@paris6604]

LMFAOOO

[@iiiiiiiiii_o_O]

@@paris6604Lmfao

[@batoDelarosa-c6f]

HAAHHAHAHHAHHAH

[@knampf9779]

This is gold.

[@MaxGear5]

Lmaooo

[@chitunachituna8273]

My math teacher in school was the same: What would you need to solve it elegantly? Lean back, think about it, dream a little, use your creativity.. Loved him. He made me appreciate and actually love mathematics.

[@mykolapliashechnykov8701]

It's a trick. They tell you that and then the test time runs out.

[@chitunachituna8273]

@mykolapliashechnykov8701 🤣🤣🤣

[@MrCurse]

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

[@nmgOblast]

😂😂😂😂You are lazy!

[@walternanez1929]

😂

[@moltexamrit2255]

Fine a clever way toh clean your room faster

[@deepaknanda1113]

😂😂😂

[@technicalmaster-mind]

😂

[@muhammadizhar4817]

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]

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

[@ИльяПавлов-ь4у]

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

[@MrMctastics]

@@ИльяПавлов-ь4уWhen 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]

Mathematicians do use computers to brute force

[@ozboomer_au]

developing methods by induction, maybe....

[@Raven-kv6js]

For any teacher seeing this: this only works if a student understands what the functions are doing and meaning, and what has to be done to solve them the long way. Otherwise, students won't find or understand the shortcuts. I say this as a college student who took AB Calc in high school and struggled, because my teacher taught the way he did equations (mostly shortcuts), and not the way to teach understanding and the solving of equations the long way. Please, equip students to learn things the long way and then give a shortcut after, so there is a chance of understanding and real learning, not just memorization. This is a great vid, just please keep this in mind 👍

[@ShayPatrickCormacTHEHUNTER]

If you look at it as solving equations to begin with, youre way off when it comes to understanding.

[@RomeoChapola]

Understanding was premised, and he's clearly talking to students. It defeats his point for a teacher to spoon-feed the method. Not everything needs disclaimers.

[@mechafractal]

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

[@BunnyWatson-k1w]

24 for a future Nobel Laureate.

[@vaibhavshukla6926]

Are you referring to Fields medal? ​@@BunnyWatson-k1w

[@belgagrave]

@@BunnyWatson-k1w48 for

[@belgagrave]

@@BunnyWatson-k1w48 for

[@benjiusofficial]

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.

[@ARJ1050]

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

[@goviljoson5192]

Wohi toh Sara khel h mathematician bn ne ka

[@MonaLisa-jj3tb]

Not if you're smart enough

[@nomooon]

Having a cleaver definitely takes care of problems for me

[@Creati-01]

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

[@tegathemenace]

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

[@ghalia9635]

this is not being lazy but actually trying to save time and brain cells. aka not doing it the hard way but the smart way.

[@fitnesspoint2006]

this is only works for advanced experienced practioner in any field, otherwise you will end up causing lots of harm

[@khanom3033]

So in the end it is lazy

[@ghalia9635]

@@khanom3033 maybe it is :D

[@YaNeK92]

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

[@aeea3306]

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

[@Archemik99]

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]

@@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]

@@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]

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

[@meppeorga]

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.

[@Shivam-f1r2d]

Indeed , that's what I'm thinking

[@brampelberg9335]

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]

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

[@fullmetaltheorist]

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

[@HerrProfM]

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

[@valadimir_putin_bhai]

Hidden talent of Amitabh bachchan

[@annonuhm8400]

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

[@fri_punt_so]

how does he write on the top one xD?

[@arbelsonnenfeld7031]

@@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]

Correct answer "Yes"

[@nicholaslittle2312]

Also must know advanced white board manipulation theory.

[@ideegeniali]

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

[@raymondz595]

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

[@bishalsarkar.8948]

Right

[@vipul3967]

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

[@raymondz595]

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

[@UnkownLol-ju7ge]

​@@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]

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

[@RH-ro3sg]

Being a mathematician myself, I have believed this my entire life. But it's important to understand it should be the _right_ kind of lazy. A mathematician shouldn't shy away from doing a lot of hard (and sometimes tedious) work if he thinks he could develop a more general method to solve a broader class of problems than is the case today. It's fine to be lazy if the new way actually is smarter and gives additional insight. But not lazy as in 'I can generally work with the results of this theory, but I never quite understood the nuts and bolts of it'. Though even _that_ is OK to a certain extent - you can't specialize in everything, after all.

[@steniodeassis]

Professor Maini! A great source of inspiration!

[@Supercatzs]

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]

Wait - I was just going to say that

[@YaNeK92]

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

[@mahyargharehdaghi9383]

@@YaNeK92 one day we will learn it 😿

[@YaNeK92]

@@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]

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

[@raulnaranjo9012]

Lazzy meaning: do a lot of work, analyze what's important, write it down and remember it. Then, you could take advantage, by using it to improve performance and use your time to have some rest.

[@THEMATT222]

Spend 2 minutes solving the problem ❌ Spend 2 hours finding a method to solve the problem in 30 seconds ✅

[@timytidy60]

in a single problem, you are right. But if you need to solve 1000 problems, and you find a trick to solve them quickly, then you appreciate what he recommends.

[@-Scoty-]

​@@timytidy60 and this thing is what we called engineering which is optimizing equations and apply them to more problems

[@NerdyNymphoshin]

So the next time u come across the same problem/same type of problem, u can save urself some time + allow urself to solve other problems more strategically and efficiency

[@nicezombie8054]

Thats a lot of maths, find clever ways to avoid to do any work

[@nicezombie8054]

By doing a lot of work beforehand ofcourse

[@OsamaNemrawi]

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.

[@psychickumquat]

I've lived by this mentality for a long time in terms of work. "Why should I do extra steps when I can make the computer do it for me?". Saves time and has gotten me into a career path i love.

[@_KITE]

Finally, decent content on this platform.

[@opslts.6024]

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]

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

[@BruceWayne-us3kw]

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

[@CastleHassall]

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

[@archanadevi2480]

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😅

[@bluetempo22]

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

[@sitproperlywhilewatchingph423]

How ?

[@eriboyer2229]

@@sitproperlywhilewatchingph423 How not?

[@sitproperlywhilewatchingph423]

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

[@ap-qd9xf]

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

[@ddebenedictis]

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.

[@davida4559]

I like how he says there's an easier way to solve the problem and then proceeds to not solve it.

[@kelly4187]

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]

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]

​@@wain___614You must be really smart...

[@indiechik4868]

@@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]

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]

everyone is truly lazy

[@LordDeuce-ul7my]

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

[@alansmithee419]

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."

[@Kyouma.]

@LordDeuce-ul7my: And what does getting more work done do? Will you get a certificate for how much you got done at the end of your life? And is "efficient" work preferable over "effective" work?

[@LordDeuce-ul7my]

@@Kyouma. It makes you worth more $. And it's fun when you apply yourself. You have to love what you do. And you have to have the motivation to want to be one of the best and to be worth the money.

[@LordDeuce-ul7my]

@Kyouma. Efficient is effective. Inefficient is defective. You don't get a certificate for anything in life. Nothing matters. You can die right now and it makes no difference. Jus saying if you suck at construction it would be better for everyone if you do something else with your life.

[@RethabileMatete]

Trust me! My efficiency is a result of my laziness

[@FabianRealDeal]

This man isn’t teaching math, he is teaching life skills. Taking a break for a moment to reflect on what you are doing to then think. Is there a way I can make this better/easier/faster? And then doing it allows you to perform hastily.

[@TheHigherFury]

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

[@trungduong7526]

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

[@imthedarknight-8755]

My math teacher always told me to work smarter not harder. Good advice

[@vandananegi5408]

How many whiteboards do you need? Him:Yes?

[@fatimaquraishi-y8z]

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

[@syahmihaziq6165]

Professor : you need to be lazy Exam paper : prove the answer 💀

[@RohanXVII]

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

[@Bollibompa]

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

[@idk-what-bruh]

"there goes your 1 mark"

[@shaheer_ahmed__69]

​@@idk-what-bruh😂💯

[@kylejohnson8447]

This aint high school buddy

[@NikhilKumar-p3d3l]

😂😂

[@oceansplitterGaming]

This is life advice right here

[@FEIWILD688]

And this applies to all of life as well! You know this is a great lecture when it transcends beyond its own subject~

[@isakrynell8771]

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

[@primeirrational]

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.

[@water1374]

Why is pi?

[@HaroutBlack]

Jesus is the only way to healing, restoration and salvation to all souls. Please turn to him and he will change your life, depression into delight, soul heading from hell to heaven all because of what he did on the cross “Whoever calls upon the name of the Lord shall be saved” Romans 10:13

[@water1374]

@@HaroutBlack KZbin really notified me that a bot is spouting Christian brain rot nonsense

[@AsfarQureshi-r2f]

Math surprisingly gives a stupendous amounts of life lessons

[@FPS.Lancer]

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

[@Luvinist]

This is good advice for other things as well.

[@Musicienne-DAB1995]

All of the mathematics on those whiteboards are complete Greek to me, but the principle behind what this professor says is rock solid. The brain is always working things out in the background, when you're not actively trying to do something. So we actually need periods of time when we're not actively doing anything; we need to be bored. During that time, the brain is working things out and reaching solutions. He's spot on here. This method of laziness has helped me enormously with learning German.

[@maqil3623]

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

[@mewomewow]

Yup. The lazy he means here is efficiency.

[@maximushermanite]

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

[@urnoob5528]

no

[@ololh4xx]

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

[@sustainableliving6319]

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

[@ololh4xx]

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

[@sustainableliving6319]

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

[@amvideos1041]

​@@sustainableliving6319 professor maini

[@bh2558]

In computer science, you will learn about something called 'lazy loading'. The initial impression you'll get from the word will be like 'oh it may be eaiser, simpler' stuff like that and you might even try to underestimate the process of it. But, as you already noticed from what he said, ' lazy' doesn't necessarily mean 'dumb, simple, less-effort'. In Science, most of the times, it usually, means 'more efficient, more clever, more intuitive, and just better'. So, don't misunderstand by the word, 'lazy', as I did. If this word is used in science, that's the time you really have to focus and try to understand the meaning behind it.

[@vedantjadhav7805]

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]

Errr … yes?

[@d7home2129]

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

[@EzekielBrockmann]

​@@d7home2129provided the summation counter begins at 1, and not 0.

[@jeeboi347]

"Don't crunch the numbers like a madman"

[@ag_7296]

this is very helpful when dealing with complex integration problems like forier, good lecturer 👍

[@Fireatank]

Why some of the most efficient people, are the Laziest. I don't want to deal with the same issue twice, so get it done ... and right. 😂😂😂❤😊😊😊

[@AllaahuAkbarr]

Fajr Zuhr Asar Maghrib Isha and Witr Namaz, Dua Qunoot ♥❤👌 Establish regular Namaz and Pay ZAKAT....

[@MohamedJesan-g5j]

I love mathematics with physics ❤❤❤❤❤❤❤❤❤

[@analauramori175]

I know i'm doing something wrong when solving when it takes me so long 😅

[@nadex2111]

I told my professor this. He told me thats not an excuse for not turning in my assignment 💀

[@dr.kennethspeers8014]

I had an A in abstract algebra going into the final, but I almost never went to class (just studied book). I went into my professors office and he said "you are so so smart, but so lazy". This Oxford professor just healed me.

[@OngoGablogian185]

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

[@storeflash7959]

God is about to come through 🎉🎉🎉❤❤❤❤

[@thedone1342]

I’m met this guy in person very smart man hes got great math tips.

[@HarithhJsudass]

thats not laziness thats being efficient

[@cat-des650]

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]

You got the joke, congrats

[@HilbertXVI]

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

[@arishemthejudge6780]

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

[@franklinemix8048]

Or you can say working smart.

[@aronhegedus]

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]

Whats his name

[@Jidgegw083jegwgqy]

Thank you 🙏🏽

[@AshwinMaloo79]

Dhanyavad 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

[@SpaghettiniFiveMillion]

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

[@TENGENTOPPAGL]

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

[@APxEditx]

I will definitely implement these. Thanks for the precious advice Sir.

[@maxjakobsson8491]

plug it into the calculator and use the 'calc' function lol

[@nil6073]

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

[@jonathan3372]

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]

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]

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

[@gaetanl5590]

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]

​@@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

[@LucasSouza-uj4bx]

He is totally right. In this case, we might be lazy to not waste time. Time is money! Make every second count! That's intelligence!

[@papaonn]

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

[@demonslayer8934]

❤😂

[@lemye23]

mega lazy

[@abhinashkumar3161]

😂

[@suntzu1409]

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

[@mrnarason]

All of advanced math is basically clever tricks and shortcuts

[@jigglyCroissant]

😂

[@jigglyCroissant]

Stop yappin bruh

[@Balls99987]

Professional yapper

[@mrnarason]

@@jigglyCroissant?

[@mrnarason]

@@Balls99987 professional pp swallower

[@samuel-ho6rf]

That is exactly what I did before I was a university math teacher I can’t stress this enough I always mention this to my students

[@darrenowen76]

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

[@tjcogger1974]

ChatGPT is actually really bad at Fourier Transforms. Which is the subject of this lecture.

[@letsplaygames9941]

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

[@kodaliSureshbabu]

💀 spider man

[@zipzap6783]

He can pull the boards down 😅

[@Kitty-Velour]

I think I sit at level 8-9 consistently. it would be awesome to think I am near completeness, lol, but I imagine there is probably always room for growth. thank you for the explanation.

[@kylearendt8299]

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

[@hana29971]

Proof by intimidation

[@freepimaths9698]

​​​@@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]

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

[@crbgaming6683]

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

[@artophile7777]

Proof by faith.

[@shubhamjain2442]

Respect

[@aayantariq2536]

Instructions unclear, now i have a fleeting report card.

[@anishray6107]

And you also have to be creative

[@benimath3559]

As a mathematician, I can say I totally agree. Often if a computation is too complicated I avoid it as much as possible trying to simplify it... 😊

[@WilliamNguyen-l1o]

My algebra teacher loves shortcuts and being lazy with the math, and she even encourages it!

[@funnydog7817]

Efficiency is clever laziness Quote I’ve stood by for years now

[@shadmohammed618]

wonderful knowledge sharing ....

[@ienjoyapples]

I once took a classical mechanics test and chugged through a hard problem the long way. I realized I made a mistake earlier and, pressed for time, saw a clever way to get the answer without backtracking my work. My solution had erroneous work but the right answer. I received zero credit and my professor all but accused me of cheating.

[@shashwatsharma4420]

I remember this from 8 years ago in high school, the area covered is basically zero for cosx and sinx. Feels nostalgic.

[@Jae-fk9vn]

My maths lecturer told me "find the pattern, know the solution.” 1,2,3,4,5....10 where x is the existent of the sequence, plus 1 = n, the novel of the sequence. Ergo, the pattern is n=x+1 Eg to follow the sequence if we know upto 5, then 5 is the existent of the sequence = x. To find the novel of the sequence we identify that the sequence is + 1 to the existent, so n = 5 + 1 = 6. Of course this is over-simplified, but the general principle stands where it looks chaotic the answer you need lies in a sequence Ergo, find the pattern, know the answer.

[@Jerry-td8yn]

I don't know why, but this video gave me a flashback to one of my earliest memories.. something about a Ball track and suction system with tubes.

[@UmmayMhamzah]

Problem solving is a crucial task and requires proper diognosis, so knowing what the problem is, making alternative solutions and evaluating all or any one solution and following up on it leads to the problem completely solved. According to Programming.

[@timothyprice3670]

Excellent advice

[@veronicao4643]

I remember thinking it was lazy looking for a faster easier way in doing something, because that’s what I was told by my parents

[@BhanuRikkim]

Apply odd and even function rule as simple as that

[@DavidHuber63]

I love this man

[@Hunter-j6t5s]

I'm so happy that all this time I've just been a mathematician

[@kananbhowmick301]

Why i dont know but yours way of saying somewhat resembles how bruce lee used to speak in interviews like with so much philosophical understanding and lucid spirituality!!!❤❤

[@Bas_B_]

I actually have a very important math exam this Thursday, and Fourier series is part of it, so I’m actually very happy this popped up haha. Please wish me luck 🙏🏻

[@blueblueseason]

That is the biggest reason why I used to be so slow and in my head during my college math classes. Now I’m lazier and I integrate 3 steps into 1

[@哲子仮免]

Be creative that is one of the ways.

[@Kabir_piano08]

I did the same as this professor said in the end but I am not a lazy student.

[@blockchain_dapps]

it really means do not be quick to Move the pen/pencil without having a second thought or comfirming what you are writing . it helps to solve hard problems.

[@Disha_daisy_01]

Such a crystal clear teaching . Loved it sir. Sab samajh bhi aaya ❤❤