equations {exams.forge}

Equations and Variables

Description

equations defines a set of equations using the formula interface including a LaTeX representation of the formulae.

variables sets the variable values, the LaTeX representation and the solution interval. The first argument must be the equations object. A named parameter starts the setting for a specific variable, e.g. ⁠..., s=1, pos(5), "s^2",...⁠ sets for the variable s first its numerical value, second the solution interval and finally the LaTeX representation.

Usage

equations(...)

variables(...)

Arguments

...

For equations, an even number of parameters: formula, LaTeX representation, formula, LaTeX representation, etc.

For variables, parameters to set one or more variables.

Value

(for equations) An equations object.

(for variables) The modified equations object.

Examples

# The equations describe the formulae for an confidence interval of the mean
e <- equations(o~x+c*s/sqrt(n), "v_o=\\bar{x}+c\\cdot\\frac{s^2}{n}", 
               u~x-c*s/sqrt(n), "v_u=\\bar{x}-c\\cdot\\frac{s^2}{n}", 
               e~c*s/sqrt(n),   "e  =c\\cdot\\frac{s^2}{\\sqrt{n}}",
               l~2*e,           "l  =2\\cdot e"                   
               )
print(e)
e <- variables(e, 
               x=0,    "\\bar{x}",
               c=2.58, dbl(2), 
               s=1,    pos(5), "s^2",
               n=25,   pos(5),
               l=pos(5), 
               e=pos(5),
               u="v_u", o="v_o")
print(e)