Some symbolic math functions for lazy boys and girls

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Documentation for package ‘lazy.symbolic’ version 1.0.0.20250830

• 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 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_expr_JPH	式の構造の表示
analyze_three_dots	Analyze Three Dots and Return the Names and the Values
analyze_three_dots_JPH	ThreeDots ... を解析して名前と値を返す
assign_at_expr	assign new expr at path
assign_at_expr_JPH	assign new expr at path

-- B --

basis	Standard Basis Vector
b_diag	Makes a Block Diagonal Matrix from the Arguments
b_diag_JPH	引数からブロック対角行列を作成します

-- C --

cancel_double_expr	Simplify repeated unary operators (t / inv / -) in an expression
cancel_double_expr_JPH	重複した単項演算子（t / inv / - など）を簡約する
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.
chkginv_JPH	第二の行列が第一の行列の一般化逆行列であるか、またはその逆かをチェック
cprod	Cartesian product of many vectors and matrices

-- D --

decompose_additive	Decompose an expresion into additive terms
demomat	Set up a matrix whose elements consist of row and col numbers.
demomat_JPH	分かりやすい行列の生成
Det	Determinant of a Symbolic Matrix by Sweeping
DetL	Determinant of a Symbolic Matrix by Laplace Expansion
DetL_JPH	ラプラス展開による記号行列の行列式
Det_JPH	スウィープ演算による記号行列の行列式
Diag	Diag(x) creats a diagonam matrix from its argument vector or matrix
Diag_JPH	Diag(x) は、与えられたベクトルまたは行列から対角行列を生成します
diag_to_hp	Convert diag(X) to I*X, the Hadamar product
diag_to_hp_JPH	diag(X) を アダマール積を用いた I*Xに置き換える
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	Remove unnecessary parentheses
drop_parens_JPH	余分な括弧を削除する

-- E --

easy_parse	Parse a string into an expression (short form)
easy_parse_JPH	文字列を式に変換
Eval	Evaluate Symbolic Matrix after Replacement
Eval_JPH	置換後の記号行列を評価する
Expand	Expand Expressions by Distributing a Multiplicative Factor
Expand_JPH	乗法因子を分配して式を展開する
expr2list	Display the structure of input expression as recursive list
expr2list_JPH	入力式の構造を再帰リストとして表示する

-- 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_factors_JPH	項を乗法的の因子に分解
find_terms	Decompose an Expression into Additive Terms separated by '+' or '-'
find_terms_JPH	式を項（+ または - で区切られた項）に分解
find_varfunc	Find Variables and Functions in an Expression
FreeQ	Returns TRUE if expression is free of varname
FreeQ_JPH	式がある変数を含むか否かの判定
funcinfo	Returns the body of a function

-- G --

gen_random_expr	Generate Random Expression
gen_random_expr_JPH	ランダムな式を生成
getSM	Extract a submatrix from a supermatrix
Ginv	Generalized Inverse
Ginv_JPH	一般化逆行列（Generalized Inverse）
gmatch	Return the captured value for each group
gradma	numeric value of the analytic first derivative of a function
gradma_JPH	関数の解析的な一階導関数の数値値を計算
gradmn	numerical first derivative of a function
gradmn_JPH	関数の数値的一階微分
grep_expr	grep for expr
grep_expr_JPH	expression のための grep
groupmatch	Return the captured value for each group
gsub_expr	gsub for an expression
gsub_expr_JPH	expression のための gsub

-- I --

insertLaTex1Addin	Insert toLaTeX
insert_str	Insert string between substr(expr,1,from-1) and substr(expr,to+1)
insert_str_JPH	文字列に別の文字列を指定位置で挿入
interleave	Interleave the columns of Two Matrices
Inv	Matrix Inversion
invGE	Matrix Inversion by Gaussian Elimination
invGE_JPH	ガウス消去法による行列の逆行列
Inv_JPH	行列の逆行列計算
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
is_valid_JPH	入力式が正しいかチェックする関数

-- J --

JacobianMat	Calculation of Jacobian Matrix
JacobianMat_JPH	ヤコビ行列の計算

-- K --

Kmat	Commutation Matrix
Kmat_JPH	交換行列（Commutation Matrix）
KP	Symbolic Expression of the i-j element of the Kronecker Product
KP_JPH	クロネッカー積の i-j 要素の記号式

-- 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
linear_expand_expr_JPH	関数・演算子を加法に対して線形に分配する
linear_expand_JPH	項ごとに関数を分配する
locbalpar	Return the locations of the matching parentheses in a string.
locbalpar_JPH	文字列において対応する括弧の位置を返す。
lv	Retruns the Last Value
lv_JPH	最後に評価された値（最後の値）を返す

-- M --

m2a	Convert supermatrix to array
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
mat2sum_JPH	行列式の i-j 要素を総和演算子で表現する
matindex	Returns the Index to Convert vec(mat) to vec(t(mat)), etc.
matindex_JPH	vec(mat) を vec(t(mat)) に変換するためのインデックスを返す関数
matKTimes	Symbolic Kronecker Product
matReplace	Replace the Elements of a Symbolic Matrix
matReplace_JPH	記号行列の要素置換
matSweep	Symbolic Matrix Sweep Operator
matSweep_JPH	記号行列のスイープ演算子
matSwp	Matrix Sweep Operator
matSwp_JPH	スイープ演算子
matTimes	Symbolic Multiplication of Two or More Matrices
mD	Derivative of a Scalar Function with respect to a Matrix
mD0	Core function for differentiation
mD0_JPH	微分のための内部関数
mD_JPH	スカラー関数の行列に関する微分
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.
pmat_JPH	行または列を入れ替える行列の生成
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.
Printb_JPH	スーパー行列（分割行列、ブロック行列）を区切り付きで表示
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)
printm_JPH	複数オブジェクトを名前付きでまとめて表示 （Print の簡潔で改良版） 英語のヘルプファイルは: printm
print_tex_as_html	Print the LaTex as html in RStudio Viewer pane or a RMarkdown (Quarto) document
print_tex_as_html_JPH	LaTeX を RStudio の Viewer ペインまたは RMarkdown（Quarto）文書に HTML として表示する
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
QRGS_JPH	X 行列の QR 分解（グラム・シュミットの直交化法）または X の非冗長列の抽出

-- R --

reduce_expr_I	Remove multiplicative identity matrix I
reduce_expr_I_JPH	単位行列 'I' を含む行列積を簡約する
reduce_sign_expr	Normalize plus/minus signs in an expression
reduce_sign_expr_JPH	式中の符号（+/-）を正規化する
remove_paren	Remove redundant parentheses from an expression
remove_paren0	Remove redundant parentheses around a single term from an expression
remove_paren_JPH	式から冗長な括弧を除去
replacec	Replace Characters by New Ones
replacec_JPH	文字列を新しい文字列に置き換える
repmat	Stack a matrix n times either horizontally or vertically.
repmat_JPH	行列を水平方向または垂直方向に n 回繰り返して積み重ねる
revchar	Reverse string

-- S --

safe_deparse	Deparse an expression into a single string
safe_deparse_JPH	式をスペースなしの1つの文字列にデパースする
Seq	Smart Sequence Generation
Seq_JPH	スマートなシーケンス生成
show_ast	Display the structure of input expression
show_ast_JPH	入力式の構造を表示
Simplify	Simplify Symbolic Expressions (very primitive version)
ssq	Returns the (doubly weighted) sum of squares of all the elements of A
ssq_JPH	行列 A の (重み付き) 二乗和を返す
Sum	Symbolic Sum of All the Elements
sum2mat	Express Summation Expressions in Matrix Form
sum2mat0	Express Summation Expressions in Matrix Form
sum2mat_JPH	総和記号を行列表現に変換する
sum2sum	Convert s(exp,scope) to sum of exps
sumDisplay	Display the Structure of Summations
sumEval	Evaluate Summation:
sumEval_JPH	総和式の評価
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
toLaTeX	Convert the input string to LaTex and display it on the RStudio viewer
to_latex	Convert the input string to LaTex and display it on the RStudio viewer
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
tr2vecK_JPH	複数行列の積のトレースを vec 演算子とクロネッカー積で変換
transp	Transpose each matrix contained in a list/array/supermatrix..
tr_JPH	行列のトレース

-- U --

unary_reorder_expr	Reorder unary oparators
unary_reorder_expr_JPH	単項演算子を並べ替える
unmark_soper	Recover the Marked Special Operators

-- V --

varlist	Interprete sas-like abbreviated variable list
varlist_JPH	SAS風の省略変数リストの解釈
vec	Vectorization of a matrix
vec2vecK	Conversion of the vec of Matrix Product using vec operator and Kronecker Product
vec2vecK_JPH	行列の積の vec を vec 演算子と Kronecker 積で変換
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.
vechindex_JPH	vech(Mat) と Mat を相互変換するためのインデックスを返す
vechinv	Recover the Symmetric Matrix from its lower or upper half elements stored in a vector created by vech function.
vechinv_JPH	vech 関数で作成されたベクトルから対称行列を復元
vech_JPH	正方行列の下三角または上三角のベクトル化
vecvecindex	Returns the index to convert vec(Mat) to vec(t(Mat)) and vice versa.
vecvecindex_JPH	vec(Mat) を vec(t(Mat)) に変換するためのインデックスを返す およびその逆
vec_JPH	行列のベクトル化

-- misc --

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