learn about the different tags
and options for presenting intuitive
solutions with understandable gestures

3x^{2}3+ 13

mathrobatics provides
highly instructional
answers, tutoring, and help for students in
algebra, trigonometry, & calculus, aswell
as support for anyone wanting to use the
markup language to create illuminated
solution with both correctly formatted
mathematic symbols and built-in graphical gestures

let's try a simple integral; mouse over, or click on,
this description
this solution might be more overt than
typical; it shows not only how elaborate
the markup can be but also how explicit
a description can get

it uses the i-teg tag for integrals:

<i-teg>
<b>9x<sup>2</sup></b>
<b>dx</b>
<b></b><!--opt from -->
<b></b><!--opt to -->
</i-teg>

9x^{2}dx

we see it's a product, then note the exponent
any extra, or at-length, commentary will
appear when touching, or mousing-over
a <c‑omm> tag like this one

9x^{2}dx

this can be solved using the power rule!
first increase the exponent by one,
then also divide everything by that
value - mathrobatics allows
this illuminated notation with a simple
i-pow tag:

<i‑pow>9x<sup>2</sup></i-pow>

9x^{2}dx

exponent and denominator are both two-plus-one
the fraktion was created with an f-rak tag:

the second b tag is option if the denominator
contains no other tags;
for instance, this is 3/5:

<f‑rak><b>3</b>5</f‑rak>

9x^{
2+1
}2+1dx

add two-plus-one in the exponent
an <e‑kwa> tag ghosts out a statement
and places another illuminated value overtop
of it

<e-kwa>
<b> old value </b>
<b> new value </b>
</e-kwa>

9x^{
2 + 1
=3
}2 + 1

all of these parenthesis can be dropped now
parenthetical groups can be made with a
p-ren tag; these use the ghost option:

<p‑ren data-ghost>

9x^{3}2 + 1

perform the addition in the denominator
by default, the <e‑kwa> tag uses
the larger, handwritten, illuminated font

9x^{3}2 + 1=3

can this be faktored at all?
this note is tacked on to the end
using a <n‑ote> tag

9x^{3}
3
faktor ???

look at faktors of both nine and three
an i-fak tag allows the illuminated
display of a value's faktors:

<i-fak>
<b> value </b>
<b>
faktor list
</b>
</i-fak>

93, 3x^{3}31, 3

we could cancel-out one of the threes and reduce
mathro~batics has several types of
canceling; this was done with the
r-dux tag, allowing for cancelling
and display of the reduced value:

<r‑dux>
value <b> reduced </b>
</r‑dux>

93x^{3}31

rewrite using the reduced values
these use the v-iva tag to illuminate
values; there are several tags that color
and illuminate; some are:

one in the denominator can go away
most mathro~batic tags have parameters
to illuminate, ghost, or vaporize them;

this f-rak tag uses the [data-ghost]
parameter, while the denominator uses
a <g‑ost> tag

3x^{3}1

this looks good so far; let's check it
a <g‑ood> tag puts a check-mark
at the side of it's enclosure

3x^{3}

use the power rule of derivatives to verify
a <p‑owr> tag will create all the
illuminated gestures needed for the power rule
for derivatives, recognizing a <sup>
tag in the statement

<p-owr> 3x<sup>3<sup> </p-owr>

3x^{3}

multiply by the exponent, then subtract one from it
there's an <n‑ote> note infront
used to indicate the multiplication by the
exponent

33x^{
3 - 1
}

do the mathrobatics in the exponent

33x^{
3 - 1
=2
}

those first two values need to be multiplied
groupings in curly brakettes can be indicated
with a <c‑url> tag; this one uses the
[data-lo] option to place it on the bottom

33
x^{2}

use a computron brand comptometer to multiply

33=9
x^{2}

that all checks out!

9x^{2}
= 9x^{2}

looks like the original calculation was correct
using a <s‑tar> tag gives people
a shiny star as a reward