3Blue1Brown
Mathematics with a distinct visual perspective. Linear algebra, calculus, neural networks, topology, and more.
3Blue1Brown
About the Channel. 3blue1brown, or 3b1b for short, is primarily a YouTube channel about discovery and creativity in math, with an emphasis on visualizations.
Linear Algebra - 3Blue1Brown
2016年9月24日 · Three-dimensional linear transformations How to think of 3x3 matrices as transforming 3d space Chapter 5 Aug 9, 2016 The determinant The determinant has a very natural visual intuition, even though it's formula can make it …
Calculus - 3Blue1Brown
2017年4月28日 · Mathematics with a distinct visual perspective. Linear algebra, calculus, neural networks, topology, and more.
But what is a Fourier series? From heat flow to circle drawings
2019年6月30日 · Since it's a real-valued function, a step function is like a boring drawing confined to one-dimension. But this one is an especially dull drawing, since for inputs between 0 and 0.5, the output just stays static at the number 1, and then it discontinuously jumps to -1 for inputs between 0.5 and 1.
3Blue1Brown - Cross products
2016年9月1日 · Something else you might notice is that if you scale up one of the vectors, perhaps multiplying v ⃗ \vec{\mathbf{v}} v by 3 3 3, then the area of that parallelogram is scaled up by a factor of three, so (3 v ⃗) × w ⃗ = 3 (v ⃗ × w ⃗) (3\vec{\mathbf{v}}) \times \vec{\mathbf{w}} = 3 (\vec{\mathbf{v}} \times \vec{\mathbf{w}}) (3 v) × w ...
Neural Networks - 3Blue1Brown
2017年10月5日 · Gradient descent, how neural networks learn An overview of gradient descent in the context of neural networks. . This is a method used widely throughout machine learning for optimizing how a computer performs on certain tas
The Essence of Calculus - 3Blue1Brown
2017年4月28日 · This figure illustrates different ways to divide the area of the circle with a radius 1 1 1.. Math has a tendency to reward you when you respect symmetry, so among the divisions shown above, either the bottom left one dividing into pizza slices or the bottom right which divides into concentric rings will be likely to lead us down a fruitful path.
But what is the Fourier Transform? A visual introduction.
2018年1月26日 · There is one small caveat: the center of mass seems to be a maximum distance from the center of the plot at a winding frequency of 0 cycles per second. What gives? This is because we have started with a sine wave that oscillates between 0 and 2, and when the winding frequency is 0, the wire is just a straight line pointing to the right, meaning ...
3Blue1Brown - The determinant
2016年8月10日 · One way to describe orientation in three-dimensions is with the right-hand rule: Point the forefinger of your right hand in the direction of i ^ \hat i i ^, stick out your middle finger in the direction of j ^ \hat j j ^ , and notice how when you point up your thumb, it …