Some symbolic math functions for lazy boys and girls

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Documentation for package ‘lazy.symbolic’ version 1.0.0.20250731

• DESCRIPTION file.

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

-- A --

a2l	Convert array to list
a2m	Convert array to supermatrix
AnalyzeExpr	Decompose an Expression into Additive Terms and Multiplicative Factors
analyze_3d_val	analyze three dots and values argument
analyze_expr	Decompose an Expression into Additive Terms and Multiplicative Factors
analyze_three_dots	Analyze Three Dots and Return the Names and the Values
assign_at_expr	assign new expr at path

-- B --

basis	Standard Basis Vector
b_diag	Makes a Block Diagonal Matrix from the Arguments

-- C --

cancel_double_expr	Remove multiple consecutive t's or inv's from an expression
ceiling_n	Return the Ceiling and Power of the Input using Radix (Base) of n
chkginv	Check if the the second matrix is a generalized inverse of the first one, or vice versa.
compose_MatProd	compose MatProd
cprod	Cartesian product of many vectors and matrices

-- D --

decompose_additive	Decompose an expresion into additive terms
decompose_MatProd	Decompose Matrix Product
demomat	Set up a matrix whose elements consist of row and col numbers.
Det	Determinant of a Symbolic Matrix by Sweeping
DetL	Determinant of a Symbolic Matrix by Laplace Expansion
Diag	Diag(x) creats a diagonam matrix from its argument vector or matrix
diag_to_hp	Convert diag(X) to I*X, the Hadamar product
distribute_t	Ditstribute Transposition over Additive Terms
distribute_tr	Distribute functions to each of the additive terms
dist_t	Ditstribute Transposition over Multiplicative Factors
dist_t1	Ditstribute Transposition over Multiplicative Factors
drop_parens	drop parens

-- E --

easy_parse	Parsing text w/o writing text= and trailing [[1]]
Eval	Evaluate Symbolic Matrix after Replacement
Expand	Expand Expressions by Distributing a Multiplicative Factor
expand_expr	expand for expr
expr2list	Display the structure of input expression as recursive list

-- F --

FindFactors	Find multiplicative factors in a term
FindFuncs	Find Function Calls in an Expression
FindTerms	Find additive terms in an expression
find_a_term	Find a term separated by a multiplicative operator
find_factors	Decompose a Term into Multiplicative Factors separated by ' *, /, %*%, %\@%'.
find_terms	Decompose an Expression into Additive Terms separated by '+' or '-'
find_varfunc	Find Variables and Functions in an Expression
FreeQ	Returns TRUE if expression is free of varname
funcinfo	Returns the body of a function

-- G --

gen_random_expr	Generate Random Expression
getSM	Extract a submatrix from a supermatrix
Ginv	Generalized Inverse
gradma	numeric value of the analytic first derivative of a function
gradmn	numerical first derivative of a function
greeknum	convert subscripted Greek characters
grep_expr	grep for expr
groupmatch	Return the captured value for each group
gsub_expr	gsub for an expression

-- I --

insert_str	Insert string between substr(expr,1,from-1) and substr(expr,to+1)
interleave	Interleave the columns of Two Matrices
Inv	Matrix Inversion
invGE	Matrix Inversion by Gaussian Elimination
is.number	Check if a string vector contains numbers only.
is.varname	Check if the argument is a valid variable name
is_solo	Check if the input is a single object
is_valid	Check If the Input Expression is Valid

-- J --

JacobianMat

Calculation of Jacobian Matrix

-- K --

Kmat	Commutation Matrix
KP	Symbolic Expression of the i-j element of the Kronecker Product

-- L --

l2a	Convert list to array
lazy.symbolic	lazy.symbolic: Collection of some useful symbolic tools for lazy boys and girls
lazy.symbolic_JPH	lazy.symbolic: Collection of some useful symbolic tools for lazy boys and girls　記号演算のための関数群
linear_expand	Distribute functions to each of the additive terms
linear_expand_expr	Lienarly Distribute Functions
locbalpar	Return the locations of the matching parentheses in a string.
lv	Retruns the Last Value

-- M --

m2a	Convert supermatrix to array
make_minus_sign	Add + sign before unary - sign
map	Map function to each element of exp
mark_soper	Mark Special Operator by Single Alpha
mat2sum	Express the i-j element of an Matrix Expression using Summation Operators
matindex	Returns the Index to Convert vec(mat) to vec(t(mat)), etc.
matKTimes	Symbolic Kronecker Product
matReplace	Replace the Elements of a Symbolic Matrix
matSweep	Symbolic Matrix Sweep Operator
matSwp	Matrix Sweep Operator
matTimes	Symbolic Multiplication of Two or More Matrices
mD	Derivative of a Scalar Function with respect to a Matrix
mD0	Core function for differentiation
Mh2Mv	Convert a horizontally stacked supermatrix to a vertially stacked one.
Minus	Difference of Two or More Symbolic Expressions
modify_call	Wrap or Repalce a Call in an Expression
modify_math_operators	Modify Mathematical Operators for Symbolic Math
modify_math_operators_JPH	数値演算子の拡張
modSM<-	Assign values to the submatrix of a supermatrix
move_det_out	Move a multiplicative determinant factor to the left most position
Mv2Mh	Convert a vertically stacked supermatrix to a horizontally stacked one.

-- N --

nFactors	Calculate the Number of Factors in a Term
nterms	Count the Number of Terms in an Expression
nterms2	Calculate the Number of Terms in an Expression

-- P --

P	Orthogonal Projection Operators to the Column Space of the Input
Plus	Sum of Two or More Symbolic Expression
pmat	Generate a permutation matrix to switch row or column.
Print	Print multiple objects together with their names (Compact and better version of Print)
Printb	Print Super Matrix ( Partitioned Matrix, Block Matrix ) with Separators.
printb	Print Super Matrix ( Partitioned Matrix, Block Matrix ) with Separators.
Printm	Print multiple objects together with their names (Compact and better version of Print)
printm	Print multiple objects together with their names (Compact and better version of Print)
print_tex_as_html	Print the LaTex as html in RStudio Viewer pane or a RMarkdown (Quarto) document
Prod	Symbolic Product of All the Elements

-- Q --

Q	Projection Operators to the Orthogonal Complement of the Column Space of the Input
QRGS	QR decomposition of X matrix by the Gram Schmidt orthogonalization or Finding non redundant columns of X

-- R --

recompose_MatProd	Recompose MatProd
reduce_expr_I	Remove multiplicative identity matrix I
reduce_expr_sign	Remove multiple consecutive signs from an expression
reduce_sign_expr	Simplify/Modify the Signs of an Expression
remove_paren	Remove redundant parentheses from an expression
repmat	Stack a matrix n times either horizontally or vertically.

-- S --

safe_deparse	Deparse an expression with maximum width.cutoff
Seq	Smart Sequence Generation
show_ast	Display the structure of input expression
Simplify	Simplify Symbolic Expressions (very primitive version)
simplify_power	Simplify Power
ssq	Returns the (doubly weighted) sum of squares of all the elements of A
str_replace_all	Simulate str_replace_all of tidyverse.
Sum	Symbolic Sum of All the Elements
sum2mat	Express Summation Expressions in Matrix Form
sum2mat0	Express Summation Expressions in Matrix Form (Regexpr version)
sumDisplay	Display the Structure of Summations
sumEval	Evaluate Summation:
sumExpand	Expand (Distribute) summaiton
suminfo	Information of Nested Summations
sumMoveIn	Move summation to the right
sumSimplify	Simplify an expression containing summation
supermat	Declare a supermatrix with SMdim attribute
SymbolicOps	Examples of Symbolic Operations
SymbolicOps_JPH	拡張された数値演算子の例

-- T --

Times	Elementwise Multiplication of Two or More Symbolic Vectors/Matrices
to_latex	Convert the input string to LaTex and display it on the RStudio viewer
to_latex_core	The core part of to_latex functions by Dr. Fukushima
tp	Transposition of a Fully Symbolic Partitioned Matrix
tr	trace of the input matrix
tr2vecK	Conversion of the Trace of the Product of Several Matrices using vec operator and Kronecker Product #'
trace_reorder	Reorder the arguments of the tr and * functions
transp	Transpose each matrix contained in a list/array/supermatrix..
transpose_expr	Smart Transposition

-- U --

unary_reorder_expr	Reorder unary oparators
unmark_soper	Recover the Marked Special Operators

-- V --

varlist	Interprete sas-like abbreviated variable list
vec	Vectorization of a matrix
vec2vecK	Conversion of the vec of Matrix Product using vec operator and Kronecker Product
vecdiag	Returns diagonal elements of A as a vector
vech	Vectorization of the lower-half or upper-half of a square matrix
vechindex	Returns the index to convert vech(Mat) to Mat and vice versa.
vechinv	Recover the Symmetric Matrix from its lower or upper half elements stored in a vector created by vech function.
vecvecindex	Returns the index to convert vec(Mat) to vec(t(Mat)) and vice versa.

-- W --

wrap_hp

wrap Hadamar product with parens for apparance

-- misc --

%/.%	Mathematica like postfix replacement
%m%	Minus operator for Elementwise Difference
%p%	Plus operator for Elementwise Sum
%T%	matTimes operator for Matrix Product