EQ

Syntax:

EQ eq-primary-switch [ switches ] ( [ eq-argument-list ] )

eq-argument-list is a list of arguments separated using a separator character. For implementations using a period (.) as the radix point, the separator character is a comma (,). For implementations using a comma (,) as the radix point, the separator character is a semicolon (;).

Description: Computes the specified mathematical equation.

Field Value: The result of the specified mathematical equation. [Note: The result of an EQ field can be used as an argument in another EQ field's eq-argument-list. end note]

Switches: One of the following eq-primary-switches: \a, \b, \d, \f, \i, \l, \o, \r, \s, and \x. Each of these switches has one or more subswitches, as shown below.

\a produces an array using the argument values in eq-argument-list (which are in row-major order) and the field-specific-switches below:

\ac	Alignment is centered in each array column.
\al	Alignment is left in each array column.
\ar	Alignment is right in each array column.
\co field-argument	The number of columns in the array is specified by text in this switch's field-argument. In the absence of this switch, the number is 1.
\hs field-argument	Adds the integral number of points of horizontal spacing specified by text in this switch's field-argument between columns.
\vs field-argument	Adds the integral number of points of vertical spacing specified by text in this switch's field-argument between lines.

 

\b brackets the single element in eq-argument-list in a size appropriate for that element. The default form of brackets is parentheses. The field-specific-switches below may be used:

\bc \char	Uses the character designated by char as both the left and right bracket character. However, if char is {, [, (, or <, that character is used for the left bracket, and }, ], ), or >, respectively, is used for right bracket.
\lc \char	Uses the character designated by char as the left bracket character.
\rc \char	Uses the character designated by char as the right bracket character.

 

\d Controls where the next character following the EQ field is drawn (that is, the displacement). eq-argument-list shall have no arguments. The field-specific-switches below may be used:

\ba field-argument	Draws to the left (backward) the integral number of points specified by text in this switch's field-argument.
\fo field-argument	Draws to the right (forward) the integral number of points specified by text in this switch's field-argument.
\li	Underlines the space up to the next character.

 

\f Creates a fraction with the first argument as numerator and the second argument as denominator, centered above and below the division line, respectively. eq-argument-list shall have exactly two arguments. There are no field-specific-switches for this switch.

\i Creates an integral using the specified or default symbol and three elements. The first argument is the lower limit, the second is the upper limit, and the third is the integrand. eq-argument-list shall have exactly three arguments. The field-specific-switches below may be used:

\fc \char	Uses the character designated by char as the fixed-height character for the symbol.
\in	Uses an inline format with the limits displayed to the right of the symbol instead of above and below it.
\pr	Uses the symbol Capital pi and creates a product.
\su	Uses the symbol Capital sigma and creates a summation.
\vc \char	Uses the character designated by char as the variable-height character for the symbol. The symbol matches the height of the third argument.

 

\lf Creates a list from an arbitrary number of arguments. There are no field-specific-switches for this switch.

\o Using an arbitrary number of arguments, displays each successive argument on top of the previous one. Each character is displayed within an invisible character box, with the switches being available to align the boxes on top of one another. The field-specific-switches below may be used:

\ac	Alignment character box center (the default).
\al	Alignment character box left.
\ar	Alignment character box right.

 

\r Creates a radical. eq-argument-list shall have either one or two arguments. If it has one argument, the result is the square root of that argument. If it has two arguments, the result is the nth root of the second argument, where n is the first argument. There are no field-specific-switches for this switch.

\s Creates a subscript or superscript. One or more arguments are permitted. If more than one element is specified, the elements are stacked and left-aligned. The field-specific-switches below may be used:

\ai field-argument	Adds space above a line in a paragraph by the integral number of points specified by text in this switch's field-argument. The default is 2 points.
\di field-argument	Adds space below a line in a paragraph by the integral number of points specified by text in this switch's field-argument.
\do field-argument	Moves a single argument below the adjacent text by the integral number of points specified by text in this switch's field-argument. The default is 2 points.
\up field-argument	Moves a single argument above the adjacent text by the integral number of points specified by text in this switch's field-argument.

 

\x Creates one or more border segments around a single argument. By default, all four borders are added. eq-argument-list shall have no arguments. The field-specific-switches below may be used:

\bo	Draws a horizontal border below the argument.
\le	Draws a vertical border to the left of the argument.
\ri	Draws a vertical border to the right of the argument.
\to	Draws a horizontal border above the argument.

 

[Example: When the following fields are updated:

EQ \a \co 2 \ac \hs 10 ( 1000, 20, A, Sunday )
EQ \b \bc \| ( -100 ) EQ \b \bc \| ( \r(3, a + b)
xx EQ \d \fo 20 () xx EQ \d \fo 30 \li ()xx
EQ \f ( 1, 32 ) EQ \f ( 7, 64 )
EQ \i ( 0, ∞, x ) EQ \i \su \in ( 0, 10, x ) EQ \i \pr \in ( 0, 5, x )
EQ \i \fc \{ ( 0, 5, \f (x, 0.34) ) EQ \i \vc \{ ( 0, 5, \f (x, 0.34) )

EQ \l ( 0, 10 )
EQ \b \lc \[ \rc \) (\l (0, 10))
EQ \o ( 0, 0, 0 ) EQ \o ( 0, + ) EQ \o \ar ( 0, |, _ )
EQ \r ( 2 ) EQ \r ( 2, x )
a EQ \s \up (2) + b EQ \s \up (2)
a EQ \x ( + ) b a EQ \x \to \le ( + ) b a EQ \x \bo \ri ( + ) b

The results are:

xxxxxx

a + b

ab ab ab

end example]