Miscellaneous
Last updated
Last updated
From a generic form to a PDF whose CDF approaches 1
Partition the possibility space into four sections much like Punnet squares.
Solve for the conditional probability
The null space is the set of vectors which makes the output homogenous. See 3B1B for more.
Multivariate calculus is the extension of of univariate calculus, which studies mappings to more generic ; relating a vector, of some length to some other vector of length by multiplication with some some rectangular matrix of dimensions, .
... initial configuration
... deformed configuration
$\boldsymbol{u} = \boldsymbol{y} - \boldsymbol{x}$... motion
For the generic example, the initial configuration is some smooth closed volume in ; represented as a collection of position vectors, . Equivalent representation is by summation of unit vectors in each of the cartesian directions:
Then in the case, we see: