Introduction | Linear mixed model | The likelihood | Shoes data | Fitting model with caracas | Programmatic approach | Maximizing the profile likelihood | Asymptotic variance of the MLE | Maximizing the full likelihood | Comparison with gls() and lmer() | Comparison with gls() - if available | Comparison with lmer() - if available

Quick start | Sums | Products | Integrals | Limits | Derivatives | Taylor expansion | Linear algebra | Solve | Assumptions | Substitution | Subsetting | Interactively show $\LaTeX$ representation | Using SymPy directly | Output | Options

Variables, names, symbols etc. | Creating symbols | Classes | Indexing | Quick start | Linear algebra

Introduction | Elementary matrix operations | Creating matrices / vectors | Matrix-matrix sum and product | Hadamard (elementwise) product | Vector operations | Reciprocal matrix | Matrix inverse; solve system of linear equations | Generalized (Penrose-Moore) inverse; solve system of linear equations [TBW] | More special linear algebra functionality | QR decomposition | Eigenvalues and eigenvectors | Inverse, Penrose-Moore pseudo inverse | Additional functionality for linear algebra | Characteristic polynomial | Rank | Cofactor | Echelon form | Cholesky factorisation | Gram Schmidt | Reduced row-echelon form (rref) | Column space, row space and null space | Singular values, svd

Autoregressive model ($AR(1)$) | Dynamic linear model

Multiple lines | Check with no echo | Custom tex() | Notes

Information given | Length of line segments

Using SymPy directly | Elaborate example | Simple example with assumptions | Another example with assumptions

An example | Another example

Quick start | Linear algebra | More examples

Autoregression ($AR(1)$) | Dynamic linear model | Numerical evalation in R

Introduction | Simplify and output to TeX | Derivatives | Solving equations | Solving a system of equations | Ryacas high-level reference

Introduction | Note | Interfaces to yacas | The low-level interface | Examples | The high-level interface | Solving equations | yacas reference

Evaluating polynomials | Inverse of Hilbert matrix

Naive Bayes model

Example 1: Simple algebra | Example 2: Linear algebra | Simple example | Using R's character matrices | yacas variables | Sums | Limits | Solving equations | Case: gradient and Hessian for a function | Ryacas low-level reference

Included rules | Custom rules