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What's a Tensor?

31877 ratings | 1218314 views
Dan Fleisch briefly explains some vector and tensor concepts from A Student's Guide to Vectors and Tensors
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Text Comments (2338)
awsomeabacus (1 day ago)
Oh yes I have all of those things in my home.
777queens (2 days ago)
Thank you Dr. fleisch I never graduated high school but I understood your explanation of tensors and vectors so I guess I understand how to measure gravity acting on a body🧐🤓😎👍🤔
KHUBAIB Asghar (2 days ago)
this lecture was very useful for me thank you so much.
Ahmet Tortumlu (4 days ago)
from zero to hero
Olivér Dózsa (4 days ago)
Nice explanation! There are some missing 3rd components 10:29 :)
Mr56412 (5 days ago)
May I please add captions in portuguese to your video? I want use that YouTube system but I can't find the option did you disabled? Greetings from Brazil I can't thank you enough for this amazing lecture.
Eduardo Reis (6 days ago)
Go to 8:00 if you have a decent understanding of vector decomposition.
Dimitris Dimitriadis (7 days ago)
Excellent work. Thanks for your time
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It's 2018 and I still find this video amazing and helpful. Hot like of you are here in 2018.
TheKlopka (2 days ago)
It's 2018 and I just discovered this video and it helped me with deep learning. Yey for tensors
Kyle Tse (9 days ago)
Why it's still got dislikes?
Sourav Das (9 days ago)
nunya biznez (9 days ago)
This is a bad teacher. I could tell 2 seconds into this video. He's one of those garbage people that think they obtained intelligence by going to college. This guy is a garbage person and he pollutes minds with his filth.
abhishek veeraraghavan (10 days ago)
@Dan Fleisch, what a wonderful video you have made! I was just somebody who was looking to understand what tensors are on a basic level. You did a wonderful job in explaining the concepts on an intuitive basis using tools that are commonly available. I hope more teachers and people interested in teaching watch this to understand how teaching can be made more fun and educative.
lakshman hussey (11 days ago)
Really a wonderful explanation of tensors...
Sreeram Ajay (12 days ago)
excellent teaching
Aditya Alur (13 days ago)
Excellent tutorial thanks
Michael Vigato (13 days ago)
Thank you very much for realizing this amazing video!
Flynn banynn (13 days ago)
Tensors r gay
Thank you very much, I am currently taking Mathematical Methods for Physics and tensors seemed to be hard to visualize until I saw this video. Good job.
Saleem Beg (16 days ago)
Exceptional Explanation 👍
mark hughes (17 days ago)
Nice video. Very clear. Cube referenced tensors get another life when interpreted through the isotropic vector matrix. See R.B. Fuller for this developmental step.
Harry Hirsch (18 days ago)
extraordinary explanation
Anubhav Mahapatra (18 days ago)
Excellent work....You sure know how to explain the best way
Patrick Frackowiak (19 days ago)
7:31 Cthulhu R'lyeh wgah'nagl fhtagn! Anyway, thank you.
Rene Morales (19 days ago)
Blew my mind, great job,
Jose Diola (19 days ago)
this guy deserves a patreon
Tom Norton (20 days ago)
He sounds a bit like Neelix
jklw10 (20 days ago)
So basically just a multi layered "coordinate" systrm for representing a point in space or points of point or forces of point on a plane (facing a point)?
Tarun Kant (20 days ago)
Vladimír Škamla (21 days ago)
have to say thank you sir, for all this. having a teacher like you would make me never want to leave the school.
mendali (22 days ago)
0:30 poinTED stick :) monty python reference?
rock lava (22 days ago)
اللي فهم شنو التينسر يكدر يفهمني..؟
shire. s. (23 days ago)
This is amazing, simple and beautiful. Thank you for your time sir.
Adrian Colley (24 days ago)
+1 for "pointèd stick"
Safety Lucas (25 days ago)
So it's kind of just a concatenation of vectors? Or like an object in programming?
X Z (27 days ago)
venu Gurrala (27 days ago)
Thank you soooooo much sir.
Geoff Harrington (27 days ago)
[ viewing ]
Khaled Aladwani (28 days ago)
That is great simple explanation, thank you very much Dan 🙏🏻
Tim Rubin Halcomb (28 days ago)
I'll tell you another story about about how I learned to keep my mouth shut. In the 1980's I was a very young man. One day I was in Chicago at a restaurant and I over heard this guy, Michael Tellerino, screaming at a guy he hired to design a program for him. The guy's name was Harold. He was an old man, but very computer savvy. Unfortunately, Harold was stumped. He didn't know how to get around a very tricky situation. I heard him tell Mr. Tellerino that he couldn't do what he wanted him to do with such an elementary programming language. Me, being young, naive, and full of vinegar, decided to jump into the conversation. I was laughing and I boasted that I could solve the problem within a two week window. Mr. Tellerino looked at me with that evil Italian eye and asked me to join them. I almost backed out, but reluctantly I did join them. He agreed to give me a chance. Harold quit! LOL. Within two weeks, I designed a remarkable program that straightened out the ghost parking ticket dilemma for the city of Chicago. The company I worked for was called MRA ( Municipal Revenue Associates). Oh I was such a smart stupid person. I wanted to think that he would allow me to share in the victory because I designed such a masterpiece, but after that guy got what he wanted, he threw me away like trash. Here's the dilemma: He had a programming language known as GW BASIC! Harold, the guy who quit, was on the right track. He designed a bubble sort, but it was sorting the file by client name, and he also kept getting the OM (out of memory error) because he was storing the records in arrays which can only hold so much data. Here's how I fixed it. First, I decided to modify the sort so that the program would sort by address and then name (two people can have the exact same name, but they won't have the same address right?), then I discovered a wonderful feature in that GW BASIC language that I guess Harold overlooked. It is the Random Access function. (that's where you develop a template and store all of the information randomly). What I did was pure genius. I manipulated the code to where it would sort so many records, 999 I think, store them in a file chunk, clear the memory, and pick up where it left off. I sorted over a million records with that program, and boy did Mike make a killing. He had the clerks calling and collecting on the ghost unpaid parking tickets all over Chicago. You know? There was Villa Park, Bellville, Downers Grove, all of that! Do you think he was fair with me? Hell no! He paid me a lousy 10 grand and I was informed that my services were no longer needed. WOW! I did something that nobody else could do and I was the brains behind it. I bet that guy even sold that program to other industries and made a fortune. Well, that taught me a lesson. NEVER AGAIN WILL I BE SO LIBERAL WITH KNOWLEDGE! Even now I have a lot of ideas, but I will remain reticent until I know that I will get the credit I deserve. I'm not going to give my talents to crooks. NO WAY!
Tim Rubin Halcomb (28 days ago)
Some people are so stupid. They think you live life to a certain point, and then you're supposed to accept being too old to do this or that. That's total garbage. People place limits on themselves because everybody says to do it. Obviously, not too many people have read Robert Frost Poems which are awesome! Robert was such an amazing man! I wonder what he'd be saying if he had known that the future would produce so many idiots.
Tim Rubin Halcomb (28 days ago)
I took a physics class under Dr. Gupta at Purdue University. Your insight learning strategy reminds me a lot of how he used to devise his presentations. He was an amazing teacher. Unfortunately, there was only 2 A's in the class. I earned one, and an oriental exchange student from Japan earned the other one. The course I took required multivariate calculus as a prerequisite, and I think that's the reason why many of the other students got lost. Without calculus, that class would've been impossible to pass, but with it, it was fun.
Tim Rubin Halcomb (28 days ago)
Sir. This is a great presentation. I did quite well in multivariate calculus, and I also did great in physics. Vector analysis is an excellent tool. As a suggestion, maybe explain that a unit vector is obtained by dividing each component of a vector by its magnitude. I'm not going to explain that because I see some of the people who are commenting on your forum are very disrespectful. I always try to tell other scientists that sometime we do need to be less sharing with our knowledge because not everyone is benevolent and sometimes this power gets into the hands of people who use it to do bad things. For example, look up name Anton Lavey. Don't you agree that technology should only be used to help people? You're obviously an awesome human being because you're showing us how to take a complicated concept and simplify it. I do appreciate your instructions Sir. You're a great teacher.
saurabh raghuvanshi (29 days ago)
Beautifully and seamlessly explained one of the most important concepts of Mathematics... Vectors and Tensors
Panice111 (1 month ago)
Yes Household items
Jimmy Creznic (1 month ago)
7:36 there is a HYDRA on the wooden basis vector block: Avengers assemble!!!
Sebastian Salgado (1 month ago)
Faizan Badar (1 month ago)
Thank you, sir, this was one awesome video, thanks for your time and effort.
Pipo De Clown (1 month ago)
Very informative! When you said, "scalars are tensors of rank 0" it clicked for me. Thanks!
KevinMulia (1 month ago)
Wow... now I know why is Tensor Cores in Nvidia RTX will affect how the light reflects on the object. Just using Matrix will waste lots of resources. With the concept of Tensor, you can simplify it further.
Aditya Kumar (1 month ago)
I have a question, if each component of rank two tensors, in your example, represent an area vector, and the other force vector associated with that plane, then further using this example can you please explain what does each component of third rank tensors represent? BTW, I really want to thank you for such a great video, I really now gained some understanding of tensors of rank other than 1, I tried Wikipedia but it wasn't helpful at all.
Benjamin Walters (1 month ago)
8:56 is this loss?
SpottedSharks (1 month ago)
A Tensor is a type of floating disk often used by mages in Dungeons & Dragons.
Priesh Roy (1 month ago)
Great interpretation
Ederley Marques (1 month ago)
Parabéns professor pelo esforço e comprometimento com o ensino!!
Yanni Tzili (1 month ago)
I tell my students that vectors tell you if you are "coming" or you are "going"
Mir creations (1 month ago)
DyneX (1 month ago)
It's the best tutorial video for tensor)
Pi (1 month ago)
Just stopping by to see if i remembered the basic concept of tensors right from my tensor calculus class. I am glad I am right with the concept in my head. :) By the way, nice visualization and I love your calm and clear voice. ;)
Ravi Shankar (1 month ago)
Thanks sir l am a school teacher in India and first time I understand physical meaning of its.
Santiago Tinaut (1 month ago)
Gnarly video, im subscribing right now!
John Smith (1 month ago)
Nice educational video. Good thing I had a basic understanding of vector and frame of reference.
Kevin Johnstone (1 month ago)
Thanks. My first look at tensors, and it hurt, but I almost got it. Will watch again after sleeping.
Matias Elizalde (1 month ago)
I just want to say... that table is beautiful
Curious Monk (1 month ago)
Thank you sir
Christin Cherian (1 month ago)
I am really think about transformation laws and its significance in mechanics if you don't mind would you place explain it with example
very very interesting. Thank u very much for explanations Sir.
Bhavendra Jha (1 month ago)
Thank you sir, great and innovative way of explanation should be implemented in high school and college as well
A k (1 month ago)
What is the result of multiplying the permutation tensor and a vector? Please answer me. Thanks
Sidhant Bendre (1 month ago)
Beautifully done👌🏼
Dave George (1 month ago)
Education done wrong is basis for imperfect enjoyment for all life on earth. The are other dimensions we need to understand.
RTheBruce (1 month ago)
Where can I buy those? ;)
Avery Tijerina (1 month ago)
Dope. Thanks
Michael Kaminski (1 month ago)
Thank you for explaining and illustrating the subject matter clearly.
rajdeep jagadale (1 month ago)
Thanks for the video explaining the tensor. I have doubt that, can tensor be of rank 4 be possible by considering space and time as the independent variable?
hannah 9000 (1 month ago)
Asim Ghatak (1 month ago)
I'm so glad that I watched this video... Way better than some 3D animation guys who can't even explain properly.
5up5up (1 month ago)
Thank you so much.
Gt Cline (1 month ago)
Thank you for investing so much time in sharing your knowledge. I've seen several videos on tensors and now I'm finally starting to understand how these can be used. Thank you!!!
Nikhil Muthukrishnan (1 month ago)
El Titán Thanos (1 month ago)
12 am watching tensors stuff what im doing with my life
Iago Silva (1 month ago)
I guess Lillian must feel spinors are the commentary of the Universe XD The sequel to this should totally used tangloids
stream dr (1 month ago)
Brilliant. Thanks so much for sharing
Dharmaraj M (1 month ago)
Thank you sir
Robert Brandywine (1 month ago)
No help for me here. On to the next tensor video.
st1300 r (1 month ago)
I'm commenting on the video for 3 reasons. Comments are disabled on the eclipse video obviously too many fe comments polluting the dialogue but thanks for a great accessible video. Thanks for this video on tensors. Finally your content and presentation style really makes me hope you'll consider being a frequent contributor. Youtube would be a better place as a result.
Beta he tu Mera (1 month ago)
Thank you sir. It was amazing.
Giulio Starace (1 month ago)
the way you pronounce components is driving me insane
Glenn Krieger (1 month ago)
So much tedious work my friend! Putting all of the stickers on the blocks and lining up all of the Nerf darts just right must have been difficult. Thank you for doing this video as it has cleared up a component of Einstein's General Relativity equation Ruv - 1/2Rguv + Aguv = 8🥧G/C4 Tuv. You know, that one.
Barry Manilowa (1 month ago)
It would be a great disservice to education and humanity if you didn't follow up with more of these incredible lectures. From my experience, the best teachers, of which there are extremely few, make incredibly difficult topics seem easy. You have a way of breaking down complexity into the simple. Not once did I have to rewind and try to figure out what you said.
Frank Erdman (1 month ago)
I noticed with 2 basis vectors (x,y) you get 9 components (or 3^2) and with 3 basis vectors you get 27 components (or 3^3)? Is this general? Is it always 3^[Number of Basis Vectors] = Number of Components? [So with 1 basis vector, you get 3^1 components, or with 4 you would in that scenario have 3^4 basis vectors = 81 components, etc...]
Andy B (1 month ago)
Well, that got complicated quickly!
Sam Samson (1 month ago)
This is a good example of the retardedness that is pouring into so called "education". I know what tensors, matrices, vectors and scalars are in CS, economics and physics (though haven't had tensors in physics nor in economics). None off what this guy made any sense except for the part about vectors and even then it was quite retarded, it could easily be explained with a curve in a 2 dimensional space in one minute or less for the vector, and using algebra for the matrices and tensor.
Vishal Tyagi (1 month ago)
Wonderful video answered many questions of mine..!! Thnx Professor... :)
Boner 2018 (1 month ago)
Thanks 💩
David A Mannock (1 month ago)
Eloquent, yet simple! Quite beautiful explanations of a 3D problem. Thankyou!
Biplab Maji (1 month ago)
Physical significant of Vector and Tensor (Elementary)
amravi shah (2 months ago)
excellent video and very well explained
James King (2 months ago)
Listening on 0.5x speed is sublime.

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