Computer Algebra

Documentation for package ‘caracas’ version 2.1.1

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A C D E F G H I J K L M N O P Q R S T U V Z misc

-- A --

add_prefix	Add prefix to each element of matrix
all_vars	All variables
apart	Partial fraction decomposition on a rational function
as.character.caracas_symbol	Convert symbol to character
as.expression.caracas_solve_sys_sol	Convert caracas object to R
as.expression.caracas_symbol	Convert caracas object to R
as.function.caracas_symbol	Convert expression into function object.
ask	Ask for a symbol's property
as_character	Coerce symbol to character
as_character_matrix	Get matrix as character matrix
as_diag	Construct diagonal matrix from vector
as_expr	Convert caracas object to R
as_func	Convert expression into function object.
as_sym	Convert R object to caracas symbol
as_vec	Stacks matrix to vector

-- C --

cancel	Put rational function into standard form
chol.caracas_symbol	Do linear algebra operation
collect	Collects common powers of a term in an expression
colspan	Column space (range) of a symbolic matrix
colSums_	Form Row and Column Sums
columnspace	Do linear algebra operation
crossprod_	Matrix cross product
cumsum.caracas_symbol	Cumulative Sums

-- D --

def_sym	Define (invisibly) caracas symbols in global environment
def_sym_vec	Define (invisibly) caracas symbols in global environment
denominator	Get numerator and denominator of a fraction
der	Symbolic differentiation of an expression
der2	Symbolic differentiation of second order of an expression
det	Do linear algebra operation
diag	Matrix diagonal
diag-set	Replace matrix diagonal
diag.caracas_symbol	Matrix diagonal
diag<-	Replace matrix diagonal
diag<-.caracas_symbol	Replace diagonal
diag_	Symbolic diagonal matrix
diff_mat	Difference matrix
dim.caracas_symbol	Dimensions of a caracas symbol
dim<-.caracas_symbol	Dimensions of a caracas symbol
doit	Perform calculations setup previously
do_la	Do linear algebra operation
drop_remainder	Remove remainder term

-- E --

eigenval	Do linear algebra operation
eigenvec	Do linear algebra operation
eval_to_symbol	Create a symbol from a string
expand	Expand expression
expand_func	Expand a function expression
expand_log	Expand a logarithmic expression
expand_trig	Expand a trigonometric expression
eye_sym	Special matrices: zeros_sym, ones_sym, eye_sym

-- F --

factor_	Expand expression
fraction_parts	Get numerator and denominator of a fraction
free_symbols	Get free symbol in expression

-- G --

generic-matrices	Generate generic vectors and matrices
get_basis	Get basis
get_py	Access 'py' object
get_sympy	Access 'SymPy' directly
GramSchmidt	Do linear algebra operation

-- H --

has_sympy	Check if 'SymPy' is available
hessian	Score and Hessian matrix

-- I --

install_sympy	Install 'SymPy'
int	Integrate a function
inv	Do linear algebra operation
is_sym	Is object a caracas symbol

-- J --

jacobian

Compute Jacobian

-- K --

kronecker-method

Kronecker product of two matrices

-- L --

lim	Limit of a function
linalg	Do linear algebra operation
listify	Convert object to list of elements
ls_sym	List defined symbols
LUdecomposition	Do linear algebra operation

-- M --

Math.caracas_symbol	Math functions
matrify	Creates matrix from array symbol
matrix-products	Matrix multiplication
matrix_	Symbolic matrix
matrix_cross_product	Matrix cross product
matrix_sym	Generate generic vectors and matrices
matrix_sym_diag	Generate generic vectors and matrices
matrix_sym_symmetric	Generate generic vectors and matrices
mat_pow	Matrix power

-- N --

N	Numerical evaluation
nullspace	Do linear algebra operation
numerator	Get numerator and denominator of a fraction

-- O --

ones_sym	Special matrices: zeros_sym, ones_sym, eye_sym
Ops.caracas_symbol	Math operators

-- P --

pinv	Do linear algebra operation
print.caracas_scaled_matrix	Print scaled matrix
print.caracas_solve_sys_sol	Print solution
print.caracas_symbol	Print symbol
prod_	Product of a function

-- Q --

QRdecomposition

Do linear algebra operation

-- R --

rankMatrix_	Rank of matrix
reciprocal_matrix	Elementwise reciprocal matrix
rowspace	Do linear algebra operation
rowSums_	Form Row and Column Sums
rowSums_colSums	Form Row and Column Sums
rref	Do linear algebra operation

-- S --

scale_matrix	Create list of factors as in a product
score	Score and Hessian matrix
score_hessian	Score and Hessian matrix
simplify	Simplify expression
singular_values	Do linear algebra operation
solve.caracas_symbol	Solve a System of Linear Equations
solve_lin	Solve a linear system of equations
solve_sys	Solves a system of non-linear equations
special_matrices	Special matrices: zeros_sym, ones_sym, eye_sym
subs	Substitute symbol for value
sum.caracas_symbol	Summation
sum_	Sum of a function
svd_	Do linear algebra operation
symbol	Create a symbol
symbol_class	Ask type of caracas symbol
symbol_is_matrix	Check if object is a caracas matrix
sympy_func	Call a SymPy function directly on x
sympy_version	Get 'SymPy' version
sym_class	Ask type of caracas symbol
sym_inherits	Ask if type of caracas symbol is of a requested type

-- T --

t.caracas_symbol	Transpose of matrix
taylor	Taylor expansion
tcrossprod_	Matrix cross product
tex	Export object to TeX
tex.caracas_scaled_matrix	Export scaled matrix to tex
texshow	Dump latex representation of sympy object.
to_list	Coerce caracas object
to_matrix	Coerce caracas object
to_something	Coerce caracas object
to_vector	Coerce caracas object
trace_	Do linear algebra operation
tuplify	Convert object to tuple

-- U --

unbracket	Remove inner-most dimension
unscale_matrix	Extract matrix from scaled matrix

-- V --

vectorfy	Creates symbol vector from list of caracas symbols
vector_sym	Generate generic vectors and matrices

-- Z --

zeros_sym

Special matrices: zeros_sym, ones_sym, eye_sym

-- misc --

%*%	Matrix multiplication
%*%.caracas_symbol	Matrix multiplication
%>%	Pipe
[.caracas_symbol	Extract or replace parts of an object
[<-.caracas_symbol	Extract or replace parts of an object