@@kevintanaka4549 That's why you do a sanity check and recheck some problems. At least try to reason whether, say, something ends up in the right quadrant.
If you like it you should give it a try . Plus, if you forget a - you usually end up with something completely illogical and verify your work (also, engineers work in teams so someone will notice eventually ).
This makes me want to major in engineering more. Im currently working full time but Im thinking about majoring in engineering next fall. Up until then, Ill study math in order to be prepared
Dnt forget the plus C 🙄 or that you maybe great at integrating and taking a derivative but forgetting that a minus minus is equal to a Plus will result in failure! Calc 1 sure is fun tho lol 😂
We used an RTOS often used in the automotive industry. It had a timer based feature that did not work correctly, so the developers set the time to the maximum 32 bit integer. It crashed every 2.5 days because the RTOS assumed you turn your car on for only a few hours a day and that the timer would be reset each time. Apparently 4,294,967,295 is not the same as infinity. To this day I love the incident description, "Randomly resets exactly every 60 hours."
It sounds harsh for me to say that I learned to fall in love with math as an engineer. So here's a better way of putting it; the beauty of mathematics eventually revealed itself, to a point where I fell in love with it. All the necessities for math are always present.
I find this lack of true perspective to often be the case among mathematicians, physicists, engineers, and technicians who all tend to think of each other in a lesser sense but do not realize that their arrogance blinds them to reality and in fact it is when we combine our skills and abilities that we can do amazing things like put men on the moon and more!
I am freshman studying engineering and we had a class where it was all about unit conversion and MATLAB. My professor also gave us the same example that you said about wrong units and project failure.
Once upon a time, when I was a student, a fellow student came to me saying the textbook of numerical calculus was terribly wrong. He argued: x = cos(x) has not the solution written on the book. I found interesting because I had done that calculus and it matched "perfectly". He showed me his calculator and as soon as I saw the unit I asked him: Why are you trying to use degrees on this problem? That day we both realized how "units" are important even in math.
I love that letter holy moly it actually accounts for all of these incredibly important variables and shows how they actually had experts go through all of that optimization work.
@@user-mi5xq8zj7u procédés, I don t know if I used the appropriate English word . It s like chemical engineering but focuses more on chemical treatment (distillation, separation , phases, absorption...) rather than the chemical reactions.
The vignette about rounding/truncation error reminded me of an occurrence long ago while I was doing a dissertation on polymer thermodynamics using Monte Carlo methods. I would generate polyethylenes several hundred units long with arbitrary torsion angles, select a random bond to rotate the part of the molecular beyond the bond, and use Metropolis sampling based on the calculated energy to decide whether to keep or reject the new conformation. (Repetition constitutes a Markoffian random walk in the conformation space of the molecule; averages over many repetitions estimate thermodynamic properties). I soon discovered that the molecule shrunk drastically after a few hundred rotations, which I traced to roundoff error in the spatial matrix transformations, despite that fact that the computer was a CDC 6600 (an original Cray supercomputer) with 60-bit registers. After some deep dives into Anthony Ralston’s books on numerical analysis for computers I was able to put together a set of equations that added something like 10% to running time but preserved the correct atomic coordinates.
The professions that handles the 'cat food can' problem is either System Engineering or Operations Research . Mathematicians, Physicists and Engineers look down on us. But we get really interesting problems.
One of the mismatches, between mathematics and engineering, happens with *Euler angles.* CAD packages and Engineers define the angles… • alpha; • beta; and • gamma …as rotations around… • the x-axis; • the y-axis; and • the z-axis …respectively. HOWEVER, in pure math developments, you’ll have a coordinate vector, sticking out of the xyz origin (i.e. (0,0,0)), and the Euler angles… • alpha; • beta; and • gamma …are then the 3 smallest angles between… • the x-axis and the vector; • the y-axis and the vector; and • the z-axis and the vector …respectively. *note:* the CAD package and Engineer definition of Euler angles works well with *partial derivatives* and *Jacobian matrices.*
dude i love your style nowadays :) so glad you started showing yourself at 50k rather than waiting for 100k. I was just looking at your channel around 70-80k and wondering when you'd cross the big silver play button line :) im so happy for you man! congrats! and I'm so proud to still be featured on your channel. Thanks you so much. I'd love to still pay you to help me wrap up this animation project too, let's figure that out brother! later man, love you
Yeah, and I can't believe how many aces including universities just get lazy and leave off that the denom ≠ 0 when showing solutions. If you have a complicated equation and it has say a polynomial in a denominator and one of those factors just happens to be (x-2) for example, even if the solution is 0 < x < 50, you must remember to exclude 2. [0,2)U(2,50] or [0,50);x≠2
I’m 3 years late but I just did some grade calculations and thought of this video after realizing that our grading system for our school (skyward) rounds the grades early in the calculation and my A- should actually be an A which at our school is a different GPA… rounding errors causing probably hundreds to thousands of students GPA to drop
There is a book titled "when math goes wrong" That is filled with these examples. Also I am pretty sure rounding error is why my clock in my truck is off by a few mins each year.
Ah that's why I am over here studying representation theory of Lie groups instead of doing engineering. Real world is not my cup of tea. Hats off to all the engineers.
Remembering me of a project at my former work. A new piece of the simulation didn't behave as expected and the reason was a wrong material due to a twisted number in the material identification number took ous hours and multiple runs of the simulation to get the mistake
Well yes, it's not that math fails, it's more that the conceptualization used, the model, dismissed non-negligeable parameters of the problem. Direct interaction with the problem is crucial, so is the math, the highest value comes from those with strong mathematical foundations and understanding but also a will to apply and practical experience, at least that's the thesis I would defend.
It’s especially true when u start to consider anything related to computers. Fractions just can’t be represented correctly and moreover addition and subtraction sucks. The number 1 doesn’t behave the same way in multiplication as it does on paper. You lose the associative property of real numbers when considering your decimals (floating points). U lose all types of alebraic structures when you translate mathematics into computers.
Most efficient cylindrical container solution can be solved without algebra, just by fact that sphere or ball figure l has minimal surface property's and this law apply to constant volume cylinder, answer the same with different path solutions.
Some of their reasons explained why an increased diameter costs more. This dude was suggesting a taller can, which would nullify most of the points the marketing department posed.
People often say that you shouldn’t go into engineering for the money. I want to go into engineering not for money but just because of my love for math but I still want to be able to have wealth. Is engineering the best major for someone who only loves math but still wants money to some degree?
Maybe. You might consider pure math with minor in finance. If you do a masters in something math related, you can become a quant and make a ton of money.
Go in to Electrical Engineering, and minor in Computer Science, that way, you'll technically be prepared to work for any Company, and your value as a potential Employee will be significantly higher for those companies, because you know both Engineering and Software. The modern world runs entirely on Software, and so many Engineers i know hate programming, because they sometimes can't wrap their head around it, but trust me, the struggle is worth it.
I believe it is. You define a model, which in this case is a function that takes many variables as input but outputs only one, which is cost. For example: f(r, h) = pi*r^2*h*d*c1 + 2*r*h*c2 subject to a list of points (h,r) associated to how many you can fit in a truck. In this example d is density, c1 is a measurement of the fuel cost per weight and c2 is the cost of the material to make the can. So I didn't consider thermal processing. This simple example is not linear on the variables (r, h) and in fact not even continuous (the list of how much you can fit in your truck).
Alan Bejarano I just finished high school last year and will start my industrial engineering degree this year so idk about operations research but in terms of linear algebra, it is an optimisation question involving maximum volume through derivatives if I’m not mistaken although I wouldn’t know how to optimise the can in terms of cost
I Always learned in elementary and high school to never leave an improper fraction, always use decimal and covert say 4/3 to 1-1/4. Now in trig and calc, it's much better and more accurate to do the opposite.
This is really important video as engineers we tend to forget about the sigfigs , this vid shows the importance in the modern world, really enlightening video 🙏🏾
But I met people in all different kinds of majors in college and sat down with a lot of them to write the scripts for all the previous videos on different majors
MajorPrep, can you make a video dedicate to job opportunity for every type of Stem major and their growth in the next 10 years or so? and How to improve the chances to get a job (i.e. experience or intern). This will also be very helpful for those who are undecided about their major because of these. I myself love Aerospace Engineer, more on the astronautic side, but when I search for job I can't find any for entry level or mid level, mostly for senior and such. So I then decided to go for Computer Science and research on those, which do have lots of job opportunity but the work kinda bored me in term of sitting in an office (who know, maybe my liking will change)... So idk what to be major in because I have heard many unemployed people from stuff like this (no dishing, but like art major is fun, but where's the jobs?)
Detective: "Cause of death?"
Coroner: "Rounding."
And there you have it! Estimation causes death! Hence, engineers should not estimate so much. QED.
GRBTutorials that’s why there’s safety factors, uncertainty in real world means that ultra precision in engineering maths is pointless
chris smith It was a joke...
GRBTutorials sorry engineers don’t believe in jokes
"g=10"
Don't do this plss
Once we were doing katers pendulum experiment and got g =1200 in cgs
@@nazishahmad1337 I hope you aren't suggesting that g is actually that value 😂😂
@Brindan Domineck the g value variation is really really small. It never even comes close to 10. I mean the highest g is 9.8337. Cheers.
@@itsnotyasir your hope is actually correct
Actually the pendulum was having alot of error
"Degree mode"
thats hilarious and terrifying at the same time
We just had Calc finals. After the exam, my friend realized he was in degree mode.
Kevin Tanaka That sucks. I always pretty paranoid about that so it’s never happened to me.
@@kevintanaka4549 That's why you do a sanity check and recheck some problems. At least try to reason whether, say, something ends up in the right quadrant.
lmao
didn't memorize the whole unit circle smh...
This is why I'm not going into engineering. I'll forget to put a - sign and blow up a multi million dollar project.
If you like it you should give it a try . Plus, if you forget a - you usually end up with something completely illogical and verify your work (also, engineers work in teams so someone will notice eventually ).
no you wouldn't, now it's all done by computers
@@everlastingideas8625 Haha it was more of a joke. I'm a physics major but I love engineering since its basically applied physics.
@@TheZod00 Nicely said
One can consider engineering to be applied physics since engineering is just the stream where you actually apply physics
@@TheZod00 engineering is not only applied physics but mixture of (applied mathematics, physics, chemistry and art).
"When Mathematics Meets Engineering"
>> When Flammy boi says hi to Zach
Funny .🤣🤣
Me, a first year engineering student: wondering where the engineering will meet engineering 😂
HAHAHAHA SAME
Machine Design, Manufacturing processes
How are you now? i'm about to enter my second year.
This makes me want to major in engineering more. Im currently working full time but Im thinking about majoring in engineering next fall. Up until then, Ill study math in order to be prepared
You got a lot of work and dedication in front of you but I believe in you
Did you ever do it?
Please update us if you don't mind
Dnt forget the plus C 🙄 or that you maybe great at integrating and taking a derivative but forgetting that a minus minus is equal to a Plus will result in failure!
Calc 1 sure is fun tho lol 😂
We used an RTOS often used in the automotive industry. It had a timer based feature that did not work correctly, so the developers set the time to the maximum 32 bit integer. It crashed every 2.5 days because the RTOS assumed you turn your car on for only a few hours a day and that the timer would be reset each time. Apparently 4,294,967,295 is not the same as infinity. To this day I love the incident description, "Randomly resets exactly every 60 hours."
It sounds harsh for me to say that I learned to fall in love with math as an engineer.
So here's a better way of putting it; the beauty of mathematics eventually revealed itself, to a point where I fell in love with it.
All the necessities for math are always present.
Couldn’t agree more
I find this lack of true perspective to often be the case among mathematicians, physicists, engineers, and technicians who all tend to think of each other in a lesser sense but do not realize that their arrogance blinds them to reality and in fact it is when we combine our skills and abilities that we can do amazing things like put men on the moon and more!
Who else should be studying but instead is watching this
You have Final Exams this week?
@@joeyGalileoHotto Yeah
This is studying!!! REEEE
HA, me
@@harshitjha2626 lol coming back to my comment I hadn't realized it got this many likes 2 years later...wow
I am freshman studying engineering and we had a class where it was all about unit conversion and MATLAB. My professor also gave us the same example that you said about wrong units and project failure.
Great video, great topic, and well put together. I love that someone at that cat food company took the time to educate instead of blowing it off.
Because its fun to prove someone is wrong.
As an engineering student. I think the biggest challenge in engineering Math is how to represent disturbances and errors in the world in an equation
Once upon a time, when I was a student, a fellow student came to me saying the textbook of numerical calculus was terribly wrong.
He argued:
x = cos(x) has not the solution written on the book.
I found interesting because I had done that calculus and it matched "perfectly".
He showed me his calculator and as soon as I saw the unit I asked him:
Why are you trying to use degrees on this problem?
That day we both realized how "units" are important even in math.
In fact, the scientific measure of angle is arc length vs. radius ratio, which is amazingly consistent with the concept of calculus.
I love that letter holy moly it actually accounts for all of these incredibly important variables and shows how they actually had experts go through all of that optimization work.
Love your videos man, so informative and helpful. Thank you!
Any engenieer or student here? ☝
First year ECE student here. This was interesting. I just worked the can optimization problem this semester, too.
Yup
Telecommunications engineering
Very math heavy courses
Here math student (master) , used to do process engineering
@@user-mi5xq8zj7u procédés, I don t know if I used the appropriate English word . It s like chemical engineering but focuses more on chemical treatment (distillation, separation , phases, absorption...) rather than the chemical reactions.
That’s like most people dude
The vignette about rounding/truncation error reminded me of an occurrence long ago while I was doing a dissertation on polymer thermodynamics using Monte Carlo methods. I would generate polyethylenes several hundred units long with arbitrary torsion angles, select a random bond to rotate the part of the molecular beyond the bond, and use Metropolis sampling based on the calculated energy to decide whether to keep or reject the new conformation. (Repetition constitutes a Markoffian random walk in the conformation space of the molecule; averages over many repetitions estimate thermodynamic properties). I soon discovered that the molecule shrunk drastically after a few hundred rotations, which I traced to roundoff error in the spatial matrix transformations, despite that fact that the computer was a CDC 6600 (an original Cray supercomputer) with 60-bit registers. After some deep dives into Anthony Ralston’s books on numerical analysis for computers I was able to put together a set of equations that added something like 10% to running time but preserved the correct atomic coordinates.
Come on guys! Let's get 01000101 likes on this video!
Insert "that" face
69
@@kingsahil-brawlstars3118 E
@@pagenip2542 I couldn't get it
@@kingsahil-brawlstars3118 ascii
That degree instead of radians joke... Was waiting for that :D
This is a fun video to watch right before fall midterms
The professions that handles the 'cat food can' problem is either System Engineering or Operations Research . Mathematicians, Physicists and Engineers look down on us. But we get really interesting problems.
One of the mismatches, between mathematics and engineering, happens with *Euler angles.* CAD packages and Engineers define the angles…
• alpha;
• beta; and
• gamma
…as rotations around…
• the x-axis;
• the y-axis; and
• the z-axis
…respectively. HOWEVER, in pure math developments, you’ll have a coordinate vector, sticking out of the xyz origin (i.e. (0,0,0)), and the Euler angles…
• alpha;
• beta; and
• gamma
…are then the 3 smallest angles between…
• the x-axis and the vector;
• the y-axis and the vector; and
• the z-axis and the vector
…respectively.
*note:* the CAD package and Engineer definition of Euler angles works well with *partial derivatives* and *Jacobian matrices.*
I check TH-cam on a daily basis for major prep 😍😍
Love your videos! They satisfy my active engineering mind's curiosity. You've earned a subscriber. 😁
dude i love your style nowadays :) so glad you started showing yourself at 50k rather than waiting for 100k. I was just looking at your channel around 70-80k and wondering when you'd cross the big silver play button line :) im so happy for you man! congrats! and I'm so proud to still be featured on your channel. Thanks you so much. I'd love to still pay you to help me wrap up this animation project too, let's figure that out brother! later man, love you
I was always told sig figs make or break bridges and it stuck with me. I keep that in mind when I do my design calculations.
Yeah, and I can't believe how many aces including universities just get lazy and leave off that the denom ≠ 0 when showing solutions. If you have a complicated equation and it has say a polynomial in a denominator and one of those factors just happens to be (x-2) for example, even if the solution is 0 < x < 50, you must remember to exclude 2. [0,2)U(2,50] or [0,50);x≠2
"degree mode" LMAO😂
I felt that joke.
Excellent video.
Was recently wondering why tuna cans have retained that configuration.
I’m 3 years late but I just did some grade calculations and thought of this video after realizing that our grading system for our school (skyward) rounds the grades early in the calculation and my A- should actually be an A which at our school is a different GPA… rounding errors causing probably hundreds to thousands of students GPA to drop
Hello, I am a student of electrical engineering and I am about to finish my first semester and in my experience it was very easy.
love this channel
Great content! You definitely deserve more love
1 buffer overflow = 1 multi billion dollars
This is why all engineering calculations need to a checked repeatedly by other competent engineers, and also why testing is so important.
Well the error belongs to American stubbornness with the use of an inferior measurement system...
Dude, insightful video. Thank you
The first thought that came to my mind when I saw the bridge was "They must have taken pi=3=e".
There is a book titled "when math goes wrong" That is filled with these examples. Also I am pretty sure rounding error is why my clock in my truck is off by a few mins each year.
I don’t know why I’m even watching this. I’m a biology major, this doesn’t apply to me at all. I guess it’s just fascinating
Please make some videos related to biology based engineerings! Please!
By the way great video!
you should convert that image to text, man it destroyed my eyes
Keep up the great work!!!😄👍
Ah that's why I am over here studying representation theory of Lie groups instead of doing engineering. Real world is not my cup of tea. Hats off to all the engineers.
Love this guy😄
I guess this is why my professor marked all my Exams with and F instead of an A.
It was just a small error.
Funny fact Aeroelastic Flutter is the reason, why marching soldiers are ordered to stop marching before stepping on any bridge
I find this really interesting.
Remembering me of a project at my former work.
A new piece of the simulation didn't behave as expected and the reason was a wrong material due to a twisted number in the material identification number
took ous hours and multiple runs of the simulation to get the mistake
I've read and heard about the missile incident before, but I recall it as having been Marine barracks. Maybe I'm wrong idk.
I liked the humour in this video very good stuff
That optimisation problem was at my maths exam in high school
This video will make you realize more how dangerous a less than 0 error/discrepancy in any calculations could be IRL.
You're scaring me 😬😬 error is not allowed
I did the question about the cylinder and know I don’t know if I’m right.
Genius talk right here, some common sense they dont include in school.
That was more like when computer science meets engineering
Good work..
great video
That's cool, we just learned about optimization last week
wow brilliant sir. thanks
Awesome video.
Now I know why they are still calculating pi. I was like BRUUUH just seconds before.
I very well may die if I have to hear about the Tacoma Bridge collapse one more time 😵💫
Minute 4:40~
This happened to me in a exam. Lmao
My only issue is that you reference the sides and top/bottom costs to be in per cm^3. It should be cm^2.
4:42 this has happened to me .
Well yes, it's not that math fails, it's more that the conceptualization used, the model, dismissed non-negligeable parameters of the problem.
Direct interaction with the problem is crucial, so is the math, the highest value comes from those with strong mathematical foundations and understanding but also a will to apply and practical experience, at least that's the thesis I would defend.
Damn the engineer really let math professor have it.
Expected answer from an engineer to a mathematician
This is such good content I wonder why its so under rated nice work mate keep up the good job
They met a long time ago mate!
It’s especially true when u start to consider anything related to computers. Fractions just can’t be represented correctly and moreover addition and subtraction sucks. The number 1 doesn’t behave the same way in multiplication as it does on paper. You lose the associative property of real numbers when considering your decimals (floating points). U lose all types of alebraic structures when you translate mathematics into computers.
I can’t wait to be an engineer. Yes it’s hard but you get to learn, devise, and improve things in your society.
4:38 All non-SI units should be illegal!
Most efficient cylindrical container solution can be solved without algebra, just by fact that sphere or ball figure l has minimal surface property's and this law apply to constant volume cylinder, answer the same with different path solutions.
Very nice Video
Fascinating
Great video. That's why I prefer pure mathematics over applied maths.
that's an insanely capable marketing department that cat food company's got
Some of their reasons explained why an increased diameter costs more. This dude was suggesting a taller can, which would nullify most of the points the marketing department posed.
Great! THank you.
28 died because of a rounding error
Meanwhile in engineering classes: **pi = e = 3** **pi^2 = g** **g=10**
People often say that you shouldn’t go into engineering for the money. I want to go into engineering not for money but just because of my love for math but I still want to be able to have wealth. Is engineering the best major for someone who only loves math but still wants money to some degree?
Maybe. You might consider pure math with minor in finance. If you do a masters in something math related, you can become a quant and make a ton of money.
Go in to Electrical Engineering, and minor in Computer Science,
that way, you'll technically be prepared to work for any Company, and your value as a potential Employee will be significantly higher for those companies, because you know both Engineering and Software.
The modern world runs entirely on Software,
and so many Engineers i know hate programming, because they sometimes can't wrap their head around it,
but trust me, the struggle is worth it.
Is that “can” problem an example of industrial engineering and how you account for all factors to optimise the cost of making the can?
It sounds it can be solved by linear álgebra (Operations Research) isnt it?
I believe it is. You define a model, which in this case is a function that takes many variables as input but outputs only one, which is cost. For example:
f(r, h) = pi*r^2*h*d*c1 + 2*r*h*c2
subject to a list of points (h,r) associated to how many you can fit in a truck. In this example d is density, c1 is a measurement of the fuel cost per weight and c2 is the cost of the material to make the can. So I didn't consider thermal processing. This simple example is not linear on the variables (r, h) and in fact not even continuous (the list of how much you can fit in your truck).
Alan Bejarano I just finished high school last year and will start my industrial engineering degree this year so idk about operations research but in terms of linear algebra, it is an optimisation question involving maximum volume through derivatives if I’m not mistaken although I wouldn’t know how to optimise the can in terms of cost
Alan Bejarano just trying to further understand my degree😂
Mario Bros ngl, completely went over my head but is interesting, I’ll come back to this in 4 years when I get my degree😂 thx for this though
nice video
Now I know why my professors mark me wrong on the exams when my rounding error is 0.0000001 off.
I Always learned in elementary and high school to never leave an improper fraction, always use decimal and covert say 4/3 to 1-1/4. Now in trig and calc, it's much better and more accurate to do the opposite.
This is really important video as engineers we tend to forget about the sigfigs , this vid shows the importance in the modern world, really enlightening video 🙏🏾
Very interesting vedio, thanks
Can we have the references for these facts and stories? I really really enjoyed this video
If you round down π it equals to 3. Then, you round up e which will equal 3. So π=e
I noticed you never done Math vs Engineering
What was your major? Because You have so much knowledge on all these different majors
my major was electrical engineering
But I met people in all different kinds of majors in college and sat down with a lot of them to write the scripts for all the previous videos on different majors
Thank you for such an informative content...these videos would help all the budding thinkers who are searching for ideas to fuel their imagination..
The joke about degree mode earned my like
MajorPrep, can you make a video dedicate to job opportunity for every type of Stem major and their growth in the next 10 years or so? and How to improve the chances to get a job (i.e. experience or intern). This will also be very helpful for those who are undecided about their major because of these. I myself love Aerospace Engineer, more on the astronautic side, but when I search for job I can't find any for entry level or mid level, mostly for senior and such. So I then decided to go for Computer Science and research on those, which do have lots of job opportunity but the work kinda bored me in term of sitting in an office (who know, maybe my liking will change)... So idk what to be major in because I have heard many unemployed people from stuff like this (no dishing, but like art major is fun, but where's the jobs?)
Literally the hardest challenge for anyone talking about something: not mentioning the Tacoma bridge 😂
pi = e = 3 = sqrt(g) = sqrt(10)
i now have severe anxiety for my future as an aspiring aeronautics engineer