Arithmetic

Description

There are natural interpretations for doing arithmetic operations on objects of class latexSymb. Namely, their output is another object of that class, constructed using the repr of the arguments and the corresponding symbol for the operation. These functions implement the elementary ones.

Usage

a + b
a - b
a / b
a * b
a ^ b
under(a,b)

Arguments

Value

An object of class latex_symb whose repr is:

• For + and -, the concatenation of a's repr, the corresponding arithmetic symbol, and b's repr.

• For *, the concatenation of the repr, with a space between.

• For /, a and b's repr inside \frac{}{}.

• For ^, a's repr, a caret and b's repr in braces.

• For under, a's repr, an underscore and b's repr in braces

Examples

a <- lsymb("\\alpha")
b <- lsymb("\\beta")
a+b
a-b
a*b
a/b
a^b
under(a,b)

Cumulative Operators

Description

These functions are used to create cumulative operators in LaTeX. They take care of the sum, prod and int functions.

Usage

Sum(f, from = lsymb(""), to = lsymb(""))
Prod(f, from = lsymb(""), to = lsymb(""))
Int(f, meas = lsymb("dx"), from = lsymb(""), to = lsymb(""))

Arguments

Value

An object of class latex_symb whose repr is the LaTeX code for the cumulative operator concatenated with the limits and the expression.

Examples

    i <- lsymb("i")
    n <- lsymb("n")
    x <- lsymb("x")
    f <- function(x) lsymb("f") * pths(x)
    Sum(i, from = 1, to = n)
    Prod(i, from = 1, to = n)
    Int(f(x), from = 0, to = 1)

Utilities for Mathematical Functions

Description

These functions are used to create operations on functions in LaTeX. They represent evaluation, pullback, pushforward, derivatives and limits of functions.

Usage

    at(f, var)
    pback(f)
    pfow(f)
    dd(f, var)
    pp(f, var)
    lim(f, var, to = lsymb("\\infty"))

Arguments

Value

An object of class latex_symb whose repr is the LaTeX code for the operation applied to the function and the variable.

Examples

    f <- lsymb("f")
    x <- lsymb("x")
    at(f, x)
    pback(f)
    pfow(f)
    dd(f, x)
    pp(f, x)
    lim(f, x)

Common latex_symb objects

Description

A collection of common latex_symb objects.

Format

An RData file containing:

i

latex_symb object whose repr is "i"

j

latex_symb object whose repr is "j"

k

latex_symb object whose repr is "k"

l

latex_symb object whose repr is "l"

m

latex_symb object whose repr is "m"

n

latex_symb object whose repr is "n"

x

latex_symb object whose repr is "x"

y

latex_symb object whose repr is "y"

z

latex_symb object whose repr is "z"

f

latex_symb object whose repr is "f"

g

latex_symb object whose repr is "g"

h

latex_symb object whose repr is "h"

al

latex_symb object whose repr is "\\alpha"

be

latex_symb object whose repr is "\\beta"

ga

latex_symb object whose repr is "\\gamma"

de

latex_symb object whose repr is "\\delta"

ep

latex_symb object whose repr is "\\epsilon"

ze

latex_symb object whose repr is "\\zeta"

et

latex_symb object whose repr is "\\eta"

th

latex_symb object whose repr is "\\theta"

io

latex_symb object whose repr is "\\iota"

ka

latex_symb object whose repr is "\\kappa"

la

latex_symb object whose repr is "\\lambda"

mu

latex_symb object whose repr is "\\mu"

nu

latex_symb object whose repr is "\\nu"

xi

latex_symb object whose repr is "\\xi"

om

latex_symb object whose repr is "\\omicron"

pi.l

latex_symb object whose repr is "\\pi"

rh

latex_symb object whose repr is "\\rho"

si

latex_symb object whose repr is "\\sigma"

ta

latex_symb object whose repr is "\\tau"

up

latex_symb object whose repr is "\\upsilon"

ph

latex_symb object whose repr is "\\phi"

ch

latex_symb object whose repr is "\\chi"

ps

latex_symb object whose repr is "\\psi"

om

latex_symb object whose repr is "\\omega"

des

latex_symb object whose repr is ":"

eq

latex_symb object whose repr is "="

neq

latex_symb object whose repr is "\\neq"

lt

latex_symb object whose repr is "<"

gt

latex_symb object whose repr is ">"

leq

latex_symb object whose repr is "\\leq"

geq

latex_symb object whose repr is "\\geq"

bgs

latex_symb object whose repr is "\\in"

mapsto

latex_symb object whose repr is "\\mapsto"

to

latex_symb object whose repr is "\\rightarrow"

ldots

latex_symb object whose repr is "\\ldots"

Reals

latex_symb object whose repr is "\\mathbb{R}"

Nats

latex_symb object whose repr is "\\mathbb{N}"

Ints

latex_symb object whose repr is "\\mathbb{Z}"

Rats

latex_symb object whose repr is "\\mathbb{Q}"

Comps

latex_symb object whose repr is "\\mathbb{C}"

indic

latex_symb object whose repr is "\\mathbb{1}"

infty

latex_symb object whose repr is "\\infty"

comma

latex_symb object whose repr is ","

endl

latex_symb object whose repr is "\\\\"

thus

latex_symb object whose repr is "\\Rightarrow"

minus

latex_symb object whose repr is "-"

plus

latex_symb object whose repr is "+"

times

latex_symb object whose repr is "\\times"

quad

latex_symb object whose repr is "\\quad"

ruler

latex_symb object whose repr is "&"

LaTeX Environments

Description

Equations and symbols in LaTeX can be either inline or on their own. il wraps expressions for the former, lenv for the latter.

Usage

il(x)
lenv(name, rows)

Arguments

.

Value

• For il, x's repr surrounded by dollar signs.

• For lenv, a multiline string whose lines are: 1. A \begin statement for name; 2. The character representation of each row; 3. An \end statement for name

Examples

al <- lsymb("\\alpha")
be <- lsymb("\\beta")
il(al)
lenv("align", 
    c(
      lsymb(al^2 - be^2, "&=", 0, "\\\\"),
      lsymb(pths(al - be)*pths(al + be), "&=", 0)
     )
) 

Create, print and turn to string objects of class latex_symb

Description

The class latex_symb is simply a wrapper for a string with LaTeX code. lsymb creates the wrapper, as.character and print extract the string.

Usage

lsymb(...)
## S3 method for class 'latex_symb'
print(x, ...)
## S3 method for class 'latex_symb'
as.character(x, ...)

Arguments

Value

• lsymb returns an object of class latex_symb. It is an S3 class, whose objects are lists with a single component called repr. repr is the LaTeX code for the object, which is obtained by pasting the character representations of all the arguments.

• print.lsymb passes the repr of its first argument, plus additional arguments, to print. The returned value is whatever print returns.

• as.character.lsymb passes the repr of its first argument, plus additional arguments, to as.character. The returned value is whatever as.character returns.

Examples

al <- lsymb("\\alpha")
print(al)
as.character(al)

LaTeX Enclosings

Description

It is cumbersome to have to write left and right every time a grouping is used in LaTeX. These functions take care of that.

Usage

pths(x)
br(x)
sqbr(x)
ang(x)

Arguments

Value

An object of class latex_symb whose repr is x's repr enclosed by the corresponding symbols.

Examples

al <- lsymb("\\alpha")
pths(al)
br(al)
sqbr(al)
ang(al)