Rotation in three dimensions | Analytic geometry | Angle | Euclidean symmetries
The Euler angles are three angles introduced by Leonhard Euler to describe the orientation of a rigid body with respect to a fixed coordinate system. They can also represent the orientation of a mobile frame of reference in physics or the orientation of a general basis in 3-dimensional linear algebra. Alternative forms were later introduced by Peter Guthrie Tait and George H. Bryan intended for use in aeronautics and engineering. (Wikipedia).
Euler Angles and the Euler Rotation Sequence
In this video we discuss how Euler angles are used to define the relative orientation of one coordinate frame to another. Topics and Timestamps: 0:00 – Introduction and example 2:34 – The Euler Rotation Sequence 16:10 – Matlab animation showing rotation sequence 21:03 – The direction cos
From playlist Flight Mechanics
The first part in a series dealing with the altitudes, orthocenter, circumcenter, centroid, and Euler's Line.
From playlist Geometry
Angles: Find Angle In Isosceles Triangle Using Algebra (Grade 3) - OnMaths GCSE Maths Revision
Topic: Angles: Find Angle In Isosceles Triangle Using Algebra Do this paper online: https://www.onmaths.com/angles-2/ Grade: 3 This question appears on calculator and non-calculator foundation GCSE papers. Practise and revise with OnMaths. Go to onmaths.com for more resources, like predic
From playlist Angles
What are acute, obtuse, right, and straight angles
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
How to label the sides of an angle
Learn all about angles. An angle is a figure formed by two rays sharing a common endpoint. An angle can be classified as acute, right, obtuse, straight or refrex. An acute angle is an angle which measures less than 90 degrees. A right angle measures 90 degrees. An obtuse angle measures mor
From playlist Learn all about basics of Angles #Geometry
Finishing up our problem dealing with the centroid, circumcenter and orthorcenter of a triangle.
From playlist Geometry
Linear Algebra 21g: Euler Angles and a Short Tribute to Leonhard Euler
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 3 Linear Algebra: Linear Transformations
How to label the sides and vertex of an angle
Learn all about angles. An angle is a figure formed by two rays sharing a common endpoint. An angle can be classified as acute, right, obtuse, straight or refrex. An acute angle is an angle which measures less than 90 degrees. A right angle measures 90 degrees. An obtuse angle measures mor
From playlist Learn all about basics of Angles #Geometry
Computing Euler Angles: Tracking Attitude Using Quaternions
In this video we continue our discussion on how to track the attitude of a body in space using quaternions. The quaternion method is similar to the Euler Kinematical Equations and Poisson’s Kinematical Equations in that it consumes rate gyro information to compute Euler angles. However,
From playlist Flight Mechanics
Computing Euler Angles: The Euler Kinematical Equations and Poisson’s Kinematical Equations
In this video we discuss how the time rate of change of the Euler angles are related to the angular velocity vector of the vehicle. This allows us to design an algorithm to consume measurements from a rate gyro and compute the resulting Euler angles of the vehicle. Topics and Timestamps:
From playlist Flight Mechanics
YOU CAN'T USE EULER'S IDENTITY TO PROVE THE ANGLE SUM IDENTITIES! | Tricky Parts of Calculus, Ep. 4
I give multiple proofs of the angle sum identities sin(x+y) = sin(x)cos(y) + sin(y)cos(x) and cos(x+y) = cos(x)cos(y) - sin(x)sin(y) from different perspectives. I stress that a very common presentation of these formulas based on Euler's identity e^(ix) = cos(x) + i sin(x) is circular and
From playlist Math
The second most beautiful equation and its surprising applications
Get free access to over 2500 documentaries on CuriosityStream: https://curiositystream.com/majorprep (use promo code "majorprep" at sign up) STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStar
From playlist Applied Math
I explore the Euler Characteristic, and prove that it is equal to 2 for any convex polyhedra. I also discuss some cases when it is not equal to 2. FaceBook: https://www.facebook.com/MathProfPierce Twitter: https://twitter.com/MathProfPierce TikTok: https://www.tiktok.com/@professorheather
From playlist Summer of Math Exposition Youtube Videos
Complex sine waves and interpreting Fourier coefficients
Now that you know the basic mechanics underlying the Fourier transform, it's time to learn about complex numbers, complex sine waves, and how to extract power and phase information from a complex dot product. Don't worry, it's actually not so complex! The video uses files you can download
From playlist OLD ANTS #2) The discrete-time Fourier transform
This is part of an online course on foundations and applications of the Fourier transform. The course includes 4+ hours of video lectures, pdf readers, exercises, and solutions. Each of the video lectures comes with MATLAB code, Python code, and sample datasets for applications. With 3000
From playlist Understand the Fourier transform
Modelling Simulation and Control of a Quadcopter - MATLAB and Simulink Video
Free MATLAB Trial: https://goo.gl/yXuXnS Request a Quote: https://goo.gl/wNKDSg Contact Us: https://goo.gl/RjJAkE This session reviews how engineering and science students use software simulation tools to develop a deeper understanding of complex multidomain applications. A quadcopter UAV
From playlist MATLAB and Simulink Conference Talks
Working through the centroid of a triangle and working toward Euler's line
From playlist Geometry
From playlist Unity game engine