PBS
Hacking the Nature of Reality
In standard use, the S-matrix can be calculated if you understand the forces in the interaction region - for example, in the nucleus of an atom. But what if you don’t know those internal interaction forces? Heisenberg sought a way to...
3Blue1Brown
Cramer's rule, explained geometrically | Essence of linear algebra, chapter 12
What Cramer's rule is, and a geometric reason it's true
Bozeman Science
Mathematics - Biology's New Microscope
Paul Andersen (with the help of PatricJMT) explains why mathematics may be biology's next microscope.
3Blue1Brown
Three-dimensional linear transformations: Essence of Linear Algebra - Part 5 of 15
How to think of 3x3 matrices as transforming 3d space
3Blue1Brown
Change of basis: Essence of Linear Algebra - Part 13 of 15
What is a change of basis, and how do you do it?
3Blue1Brown
Change of basis | Essence of linear algebra, chapter 13
What is a change of basis, and how do you do it?
3Blue1Brown
Cross products | Essence of linear algebra, Chapter 8
The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.
3Blue1Brown
Cramer's rule, explained geometrically: Essence of Linear Algebra - Part 12 of 15
This rule seems random to many students, but it has a beautiful reason for being true.
3Blue1Brown
Nonsquare matrices as transformations between dimensions | Essence of linear algebra, chapter 8
How do you think about a non-square matrix as a transformation?
3Blue1Brown
Cross products | Essence of linear algebra, Chapter 10
The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.
SciShow
This Jawless Fish Could Help Treat Brain Diseases
You might expect to find these fish at the core of an ancient, distant asteroid, but we find them instead on Earth. That doesn’t mean they aren’t special, though. In fact, their immune systems may be the key to unlocking a new treatment...
SciShow
Baboons With 2 Hearts & Pigs With Human DNA
Hank reveals two breakthroughs in the burgeoning science of xenotransplantation, the transplant of tissues across species. By the end of it, you'll want to hug your nearest pig!
SciShow
What Are Those Lines on My Nails?
You’ve probably had some. White lines or spots that appear and grow out with your nails. Why does this happen? There are a few reasons, ranging from bumping your nail to poisoning. Check out his Quick Question to see what might apply to...
3Blue1Brown
Essence of linear algebra preview
The introduction to a series on visualizing core ideas of linear algebra.
TED Talks
TED: Can a divided America heal? | Jonathan Haidt
* Viewer discretion advised. This video includes discussion of mature topics and may be inappropriate for some audiences. How can the US recover after the negative, partisan presidential election of 2016? Social psychologist Jonathan...
Crash Course
The Skeletal System: It's ALIVE! - CrashCourse Biology
Hank introduces us to the framework of our bodies, our skeleton, which apart from being the support and protection for all our fleshy parts, is involved in many other vital processes that help our bodies to function properly.
3Blue1Brown
Nonsquare matrices as transformations between dimensions | Essence of linear algebra, footnote
How do you think about a non-square matrix as a transformation?
3Blue1Brown
Change of basis | Essence of linear algebra, chapter 9
What is a change of basis, and how do you do it?
3Blue1Brown
The determinant: Essence of Linear Algebra - Part 6 of 15
The determinant has a very natural visual intuition, even though it's formula can make it seem more complicated than it really is.
3Blue1Brown
Matrix multiplication as composition | Essence of linear algebra, chapter 4
How to think about matrix multiplication visually as successively applying two different linear transformations.
3Blue1Brown
Nonsquare matrices as transformations between dimensions: Essence of Linear Algebra - Part 8 of 15
How do you think about a non-square matrix as a transformation?
3Blue1Brown
Cross products: Essence of Linear Algebra - Part 10 of 15
The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.
3Blue1Brown
The determinant | Essence of linear algebra, chapter 5
The determinant has a very natural visual intuition, even though it's formula can make it seem more complicated than it really is.
3Blue1Brown
Three-dimensional linear transformations | Essence of linear algebra, footnote
How to think of 3x3 matrices as transforming 3d space