Determining clockwise vs counter clockwise rotations
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
What is the difference between rotating clockwise and counter clockwise
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
Rotations in degrees for counter and clockwise directions
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
How to determine the rotation of a heart
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
How to determine the points of a triangle rotated 90 degrees counter clockwise
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
How does the fixed point affect our rotation
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
How do the rotations of counter clockwise and clockwise similar
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
7 Rotation of reference frames
Ever wondered how to derive the rotation matrix for rotating reference frames? In this lecture I show you how to calculate new vector coordinates when rotating a reference frame (Cartesian coordinate system). In addition I look at how easy it is to do using the IPython notebook and SymPy
From playlist Life Science Math: Vectors
Lecture 06: 3D Rotations and Complex Representations (CMU 15-462/662)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/
From playlist Computer Graphics (CMU 15-462/662)
Rotations on graphs and fractional exponents in groups
A research talk I gave at Sogang University in Seoul on March 23, 2017. The first 10 minutes should be accessible to anybody. The talk audience was masters-level math graduate students. The work is based on "Generalizing the rotation interval to vertex maps on graphs", available here: htt
From playlist Research & conference talks
Math Mornings: Chaos on the Circle, by Taylor McAdam
Rotate a circle by a fixed angle, then repeat again and again. Where will a single point travel? Will it come back to where it started and how does the answer depend on the rotation angle? Rotations and other transformations of the circle teach us a lot about many processes like planets
From playlist Math Mornings at Yale
Rotating a parallelogram 270 degrees counterclockwise
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
2D Rotations and Complex Exponentials
In this video, we will discover how to rotate any vector in two dimensions with the help of the complex numbers, especially the complex exponential. We will eventually derive a general formula which I claim, with some modifications, can be used to understand the more complex problem of 3D
From playlist Complex Numbers
Visualizing quaternions (4d numbers) with stereographic projection
How to think about this 4d number system in our 3d space. Part 2: https://youtu.be/zjMuIxRvygQ Interactive version of these visuals: https://eater.net/quaternions Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of t
From playlist Explainers
Thermodynamics and Chemical Dynamics 131C. Lecture 07. Vibrational Partition Functions.
UCI Chem 131C Thermodynamics and Chemical Dynamics (Spring 2012) Lec 07. Thermodynamics and Chemical Dynamics -- Vibrational Partition Functions -- View the complete course: http://ocw.uci.edu/courses/chem_131c_thermodynamics_and_chemical_dynamics.html Instructor: Reginald Penner, Ph.D.
From playlist Chemistry 131C: Thermodynamics and Chemical Dynamics
Describing rotation in 3d with a vector
Learn how a three-dimensional vector can be used to describe three-dimensional rotation. This is important for understanding three-dimensional curl.
From playlist Multivariable calculus
Sabine Hossenfelder and complex numbers in quantum physics
Recently I have come across a video made by Sabine Hossenfelder on the use of complex numbers in quantum mechanics. Since the role complex numbers play in physics is often misunderstood, I decided to follow up on Sabine’s video, and make it clearer. Sabine's original video: https://www.y
From playlist Summer of Math Exposition Youtube Videos
Thermodynamics and Chemical Dynamics 131C. Lecture 05. The Equipartition Theorum.
UCI Chem 131C Thermodynamics and Chemical Dynamics (Spring 2012) Lec 05. Thermodynamics and Chemical Dynamics -- The Equipartition Theorum -- View the complete course: http://ocw.uci.edu/courses/chem_131c_thermodynamics_and_chemical_dynamics.html Instructor: Reginald Penner, Ph.D. Licens
From playlist Chemistry 131C: Thermodynamics and Chemical Dynamics
In this video, I define the concept of a winding number of a curve around a point, which intuitively measures how many times a curve loops around a point. For example, for a circle (or any simple closed curve), the winding number should be 1, but for the curve in the thumbnail, the winding
From playlist Multivariable Calculus
nth Complex Roots Theorem || Submission for 3b1b #SoME1
Submission for the 3blue1brown Summer of Math Exposition, about the nth Complex Roots Theorem. Referenced resources: Math with Bad Drawings by Ben Orlin https://www.amazon.com/Math-Bad-Drawings-Illuminating-Reality/dp/0316509035 3b1b video on complex numbers: https://www.youtube.com/wa
From playlist Summer of Math Exposition Youtube Videos