Package 'latexSymb'

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

a	An object that can be passed to as.character
b	An object that can be passed to as.character

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)

---

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

f	latex_symb object representing a function
var	latex_symb object representing a variable
to	latex_symb object representing the limit of the function

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"

---

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

x	An object of class latex_symb
name	The name of the LaTeX environment. For instance, align or gather

.

rows	A list of objects that can be passed to as.character.

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

...	Objects that can be passed to as.character.
x	An object of class latex_symb

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

x	An object that can be passed to as.character.

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)

---

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

f	An expression to be summed, multiplied or integrated.
from	The lower limit of the sum, product or integral.
to	The upper limit of the sum, product or integral.
meas	The measure of the integral.

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)

---