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Flashcards based on lecture notes covering topics such as vectors, matrices, game history and stable diffusion.
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What is the formula for calculating the length (magnitude) of a vector u?
||u|| = sqrt(x^2 + y^2 + z^2)
What does the dot product of two unit vectors tell you?
The cosine of the angle between the two vectors
If the dot product of two vectors is 0, what does this indicate?
The vectors are orthogonal (perpendicular)
What is the cross product of two vectors?
A new vector orthogonal to both original vectors
What is the significance of the determinant being zero when finding the cross product?
The vectors are coincident, and a vector at right angles cannot be found.
What is the purpose of a Dreambooth model in stable diffusion?
A modified model to include a specific concept, such as 'chrls', added as a 'checkpoint'.
Define a Vector.
Quantity that possesses information about magnitude and direction.
What is the right-hand rule used for regarding coordinate system?
Determining the direction of increasing angle. If you wrap finger around axis, thumb in the direction of increasing axis value, fingers then curl in direction of increasing angle.