The OutputStepsRecord command is used to format and display a "steps" data structure, used by many of the internal Student commands for showing the steps of solving a math problem.  Such a command creates a list of Records containing "math" and "annotation"s, and this routine takes care of displaying those steps in a consistent way.

The displaystyle option controls the layout of the content.  

When displaystyle=columns, substeps are split out into a second column to the right of the main steps.

When displaystyle=linear, annotations appear on their own line as a title, preceding the math for each step.

When displaystyle=compact, annotations appear on the same line, to the right of the math, except for annotations that introduce a series of substeps, which appear on their own line as a title.

The output option controls the rendering mechanism and return value.

output=typeset is the default rendering mode when using the Standard Worksheet Interface.  It displays textbook style math in a layout according to displaystyle.

output=printf is the default rendering mode when using the Command-line version of Maple.  It displays ASCII style math notation, and is ideal for copy & paste into an email or text-based application.

output=print uses the print command to render output in a linear centered fashion.

output=canvas returns a XML string that can be used as part of a MapleLearn document.

output=link deploys the steps as a MapleLearn document and provides a web hyperlink to the document as output.

output=script returns a DocumentTools:-Canvas:-Script object.

output=record returns the input as a Record

output=list returns the input as a list of lists

When animated=true, the steps are shown one by one in a time-delayed fashion.  The default, animated=false, puts all of the steps on screen at once.

This function is part of the Student:-Basics package.

$\mathrm{with}\left(\mathrm{Student}:-\mathrm{Basics}\right)\:$

steps := [
  Record(math=<2*x+5*y=19,x-2*y=-4>,annotation="solve system"),
  Record(math=(x=2*y-4),annotation="solve equation 2 for x",
         substeps=[
             Record(math=(x-2*y=-4),annotation="equation 2"),
             Record(math=(x=-4+2*y),annotation=_MTEXT("add %1 to both sides",2*y))
         ]
  ),
  Record(math=(y=3),annotation="substitute value of x into equation 1 and solve",
         substeps=[
             Record(math=(2*x+5*y=19),annotation="equation 1"),
             Record(math=(2 %* (2*y-4)+5*y=19),annotation="sub in value for x"),
             Record(math=(4 %* y-8+5 %* y=19),annotation="expand"),
             Record(math=(9*y-8=19),annotation="collect"),
             Record(math=(9*y=27),annotation="add 8 to both sides"),
             Record(math=(y=3),annotation="divide both sides by 9")
         ]
  ),
  Record(math=(x=2 %* (3)-4),annotation=_MTEXT("substitute %1 into %2",y=3,x=2*y-4)),
  Record(math=(x=2),annotation="simplify"),
  Record(math=<x=2,y=3>,annotation="solution")
]:

$\mathrm{OutputStepsRecord}\left(\mathrm{steps}\right)$

$\begin{array}{lll}\text{•}& & \text{solve system}\\ & & \left[\right]\\ \text{▫}& & \text{solve equation 2 for x}\\ & \text{◦}& \text{equation 2}\\ & & x-2y=\mathrm{-4}\\ & \text{◦}& \text{add}2y\text{to both sides}\\ & & x=2y-4\\ \text{▫}& & \text{substitute value of x into equation 1 and solve}\\ & \text{◦}& \text{equation 1}\\ & & 2x+5y=19\\ & \text{◦}& \text{sub in value for x}\\ & & 2\cdot \left(2y-4\right)+5y=19\\ & \text{◦}& \text{expand}\\ & & 4\cdot y-8+5\cdot y=19\\ & \text{◦}& \text{collect}\\ & & 9y-8=19\\ & \text{◦}& \text{add 8 to both sides}\\ & & 9y=27\\ & \text{◦}& \text{divide both sides by 9}\\ & & y=3\\ \text{•}& & \text{substitute}y=3\text{into}x=2y-4\\ & & x=2\cdot 3-4\\ \text{•}& & \text{simplify}\\ & & x=2\\ \text{•}& & \text{solution}\\ & & \left[\right]\end{array}$

$\mathrm{OutputStepsRecord}\left(\mathrm{steps}\&comma;'\mathrm{displaystyle}'='\mathrm{columns}'\right)$

$\mathrm{OutputStepsRecord}\left(\mathrm{steps}\&comma;'\mathrm{displaystyle}'='\mathrm{compact}'\right)$

$\begin{array}{ll}\left[\right]& \text{solve system}\\ \text{solve equation 2 for x}& \\ x-2y=\mathrm{-4}& \text{equation 2}\\ x=2y-4& \text{add}2y\text{to both sides}\\ \text{solve equation 2 for x}& \\ x=2y-4& \\ \text{substitute value of x into equation 1 and solve}& \\ 2x+5y=19& \text{equation 1}\\ 2\cdot \left(2y-4\right)+5y=19& \text{sub in value for x}\\ 4\cdot y-8+5\cdot y=19& \text{expand}\\ 9y-8=19& \text{collect}\\ 9y=27& \text{add 8 to both sides}\\ y=3& \text{divide both sides by 9}\\ \text{substitute value of x into equation 1 and solve}& \\ y=3& \\ x=2\cdot 3-4& \text{substitute}y=3\text{into}x=2y-4\\ x=2& \text{simplify}\\ \left[\right]& \text{solution}\end{array}$

$\mathrm{OutputStepsRecord}\left(\mathrm{steps}\&comma;'\mathrm{output}'='\mathrm{printf}'\right)$

• solve system
        Vector(2, [2*x+5*y = 19,-2*y+x = -4])
▫        solve equation 2 for x
                ◦ equation 2
                -2*y+x = -4
                ◦ add 2*y to both sides
                x = 2*y-4
▫        substitute value of x into equation 1 and solve
                ◦ equation 1
                2*x+5*y = 19
                ◦ sub in value for x
                2*(2*y-4)+5*y = 19
                ◦ expand
                4*y+5*y-8 = 19
                ◦ collect
                9*y-8 = 19
                ◦ add 8 to both sides
                9*y = 27
                ◦ divide both sides by 9
                y = 3
• substitute y = 3 into x = 2*y-4
        x = 2*3-4
• simplify
        x = 2
• solution
        Vector(2, [x = 2,y = 3])

$\mathrm{OutputStepsRecord}\left(\mathrm{steps}\&comma;'\mathrm{output}'='\mathrm{print}'\right)$

$''solve\; system''$

$''solve\; equation\; 2\; for\; x''$

$''equation\; 2''$

$x-2y=\mathrm{-4}$

$''add\; 2*y\; to\; both\; sides''$

$x=2y-4$

$''substitute\; value\; of\; x\; into\; equation\; 1\; and\; solve''$

$''equation\; 1''$

$2x+5y=19$

$''sub\; in\; value\; for\; x''$

$2\ast \left(2y-4\right)+5y=19$

$''expand''$

$4\ast y-8+5\ast y=19$

$''collect''$

$9y-8=19$

$''add\; 8\; to\; both\; sides''$

$9y=27$

$''divide\; both\; sides\; by\; 9''$

$y=3$

$''substitute\; y\; =\; 3\; into\; x\; =\; 2*y-4''$

$x=2\ast 3-4$

$''simplify''$

$x=2$

$''solution''$

$\mathrm{OutputStepsRecord}\left(\mathrm{steps}\&comma;'\mathrm{displaystyle}'='\mathrm{columns}'\&comma;'\mathrm{animated}'=\mathrm{true}\right)$

$\mathrm{OutputStepsRecord}\left(\mathrm{steps}\&comma;\mathrm{output}='\mathrm{link}'\right)$

The Student[Basics][OutputStepsRecord] command was introduced in Maple 2021.

For more information on Maple 2021 changes, see Updates in Maple 2021.

The Student[Basics][OutputStepsRecord] command was updated in Maple 2022.

The animated option was introduced in Maple 2022.

For more information on Maple 2022 changes, see Updates in Maple 2022.