intent

	Subject	Form	Known notation	Alias	Speech Hints	Sources
number	G1 math	constant	mn
greater-than	G2 math	infix	mo >		$1 greater-than $2	https://en.wikipedia.org/wiki/Greater_Than https://www.khanacademy.org/math/cc-2nd-grade-math
more-than	G3 math	prefix	mo >		more-than $1	https://youtu.be/mLRYCaYVWFc?t=258
less-than	G2 math	infix	mo <		$1 less-than $2 $1 is less-than $2	https://www.khanacademy.org/math/cc-2nd-grade-math
equal	G2 math	infix prefix	mo =		$1 is $2 $1 equal to $2 equal to $1	https://www.khanacademy.org/math/cc-2nd-grade-math
not-equal	G2 math	infix	mo ≠		$1 not equal to $2	https://www.khanacademy.org/math/cc-2nd-grade-math
plus	G2 math	infix	mo +			https://www.khanacademy.org/math/cc-2nd-grade-math
array	G2 math	tabular	mtable			https://www.khanacademy.org/math/cc-2nd-grade-math
minus	G2, G6 math	infix prefix	mo -		$1 minus $2 negative $1	https://www.khanacademy.org/math/cc-2nd-grade-math
dollar	G2 math	prefix unit	mo $			https://www.khanacademy.org/math/cc-2nd-grade-math
cents	G2 math	postfix unit	mi cents			https://www.khanacademy.org/math/cc-2nd-grade-math
time-separator	G2 math	infix	mo :			https://www.khanacademy.org/math/cc-2nd-grade-math https://en.wikipedia.org/wiki/Colon_(punctuation)#Syntactical-descriptive
meter	G2 math	postfix unit	mi m			https://www.khanacademy.org/math/cc-2nd-grade-math
centimeter	G2 math	postfix unit	mi cm			https://www.khanacademy.org/math/cc-2nd-grade-math
foot	G2, G4 math	postfix unit msup	mi ft msup '	feet		https://www.khanacademy.org/math/cc-2nd-grade-math
inch	G2, G4 math	postfix unit msup	mi in msup ''	inches		https://www.khanacademy.org/math/cc-2nd-grade-math
times	G3 math	infix	mo × mo * mo · mo • mo .		$1 times $2 $1 multiplied by $2	https://www.khanacademy.org/math/cc-third-grade-math https://youtu.be/1P_cjOtWBkM?t=774
delimited-subexpression? parenthetical? fenced-group?	G3, G6 math	fenced	mrow ( ... ) mrow [ ... ]			https://www.khanacademy.org/math/cc-third-grade-math https://youtu.be/AhnJtTI_DMM
blank	G3 math	symbol	mi ? mi 😊 mi ⭑	missing, unknown		https://www.khanacademy.org/math/cc-third-grade-math
divide	G3 math	infix	mo ÷ mo / mo :			https://www.khanacademy.org/math/cc-third-grade-math https://youtu.be/SzjgcUesBWo?t=63
fraction	G3 math	2D	mfrac		$1 over $2 $1 divided by $2 the ratio of $1 and $2	https://www.khanacademy.org/math/cc-third-grade-math
unit	G3 math	postfix unit	mi tens mi unit mi parts mi acorns mi gnus mi pieces			https://www.khanacademy.org/math/cc-third-grade-math
approximately	G3 math	infix	mo ≈ mo ~	roughly		https://www.khanacademy.org/math/cc-third-grade-math
number-of	G3 math	prefix	mo #			https://www.khanacademy.org/math/cc-third-grade-math
list-separator	G3 math	infix	mo ,		$1 $2 $1 and $2	https://www.khanacademy.org/math/cc-third-grade-math
ellipsis	G3 math	symbol	mo ... mo … mo ⋮ mo ⋯		$1 and so on $1 keep going $1 on and on and on and on $1 and we just go like that forever and ever and ever $1 et cetera $1 all the way (to $2) $1 and so on (upto $2) $1 dot dot dot ($2)	https://www.khanacademy.org/math/cc-third-grade-math https://youtu.be/W-Nio466Ek4?t=177
focus	G3 math	enclosed	menclose notation="box"			https://www.khanacademy.org/math/cc-third-grade-math
ordinal-mark	G3 math	msup	msup th msup rd msup nd			https://www.khanacademy.org/math/cc-third-grade-math
gram	G3 math	postfix unit	mi g			https://www.khanacademy.org/math/cc-third-grade-math
kilogram	G3 math	postfix unit	mi kg			https://www.khanacademy.org/math/cc-third-grade-math
range-separator	G3 math	infix	mo -		$1 to $2	https://www.khanacademy.org/math/cc-third-grade-math
milliliter	G3 math	postfix unit	mi mL			https://www.khanacademy.org/math/cc-third-grade-math
liter	G3 math	postfix unit	mi L	litre		https://www.khanacademy.org/math/cc-third-grade-math
greater-than-or-equal	G4 math	infix	mo ≥			https://www.khanacademy.org/math/cc-fourth-grade-math
less-than-or-equal	G4 math	infix	mo ≤			https://www.khanacademy.org/math/cc-fourth-grade-math
remainder	G4 math	infix	mo r mo R			https://www.khanacademy.org/math/cc-fourth-grade-math
variable	G4 math	symbol	mi x mi y mi z mi i mi 2			https://www.khanacademy.org/math/cc-fourth-grade-math https://youtu.be/L1c0SP4W4ro?t=145
least-common-denominator	G4 math	function	LCM			https://www.khanacademy.org/math/cc-fourth-grade-math
degrees	G4 math	msup	msup $1 °			https://www.khanacademy.org/math/cc-fourth-grade-math
angle	G4 math	prefix	mo ∠ mo ∡	angle		https://www.khanacademy.org/math/cc-fourth-grade-math https://youtu.be/JyyE7lDEKdA?t=1771
measure-of-angle	G4 math	prefix	m∠ ABC
pound	G4 math	postfix unit	mi lb. mi lb mi lbs			https://www.khanacademy.org/math/cc-fourth-grade-math
ton	G4 math	postfix unit	mi T			https://www.khanacademy.org/math/cc-fourth-grade-math
ounce	G4 math	postfix unit	mi oz			https://www.khanacademy.org/math/cc-fourth-grade-math
day-period	G4 math	postfix unit	mi AM mi a.m. mi PM mi p.m.			https://www.khanacademy.org/math/cc-fourth-grade-math
line-segment	G4 math	mover concat	mover $1 ¯ mrow $1 $2		$1 segment $1 $1 $2 segment $1 $2 side $1 $2	https://www.khanacademy.org/math/cc-fourth-grade-math https://youtu.be/JyyE7lDEKdA?t=1893
power	G5 math	msup	msup $1 $2		$1 to the $2 $1 to the $2 power $1 and then that raised to the $2 power	https://www.khanacademy.org/math/cc-fifth-grade-math https://youtu.be/YbNVUhW-HJM?t=19 https://youtu.be/SM6XZj5dPQQ?t=195
point	G5 math	fenced	mrow ($1, $2) mrow ($1 ; $2 )	coordinate cartesian-coordinate	$1 $2 $1 comma $2 point $1 comma $2 coordinates $1 comma $2	https://www.khanacademy.org/math/cc-fifth-grade-math https://youtu.be/7nE8hRnb_0E?t=2282
ratio	G6 math	infix	mo :		$1 to $2 ratio $1 to $2	https://www.khanacademy.org/math/cc-sixth-grade-math/
miles-per-hour	G6 math	postfix unit	mi mph			https://www.khanacademy.org/math/cc-sixth-grade-math/
rate	G6 math	mfrac infix	mfrac $1p$2		$1 per $2	https://www.khanacademy.org/math/cc-sixth-grade-math/
percent	G6 math	postfix	mo %			https://www.khanacademy.org/math/cc-sixth-grade-math/
absolute-value	G6 math	fenced	mrow | $1 |			https://www.khanacademy.org/math/cc-sixth-grade-math/
shape	G6 math	n-ary concat	mrow $1 $2 .. $N		$1 $2 … $N	https://www.khanacademy.org/math/cc-sixth-grade-math/
least-common-multiple	G6 math	function	mi lcm mi LCM			https://www.khanacademy.org/math/cc-sixth-grade-math/
greatest-common-divisor	G6 math	function	mi gcd mi GCD mi gcf mi GCF	greatest-common-factor		https://www.khanacademy.org/math/cc-sixth-grade-math/
evaluates-to	G6 math	infix	mo →			https://www.khanacademy.org/math/cc-sixth-grade-math/
point-at	G6 math	mixfix	mrow $1($2,$3)		point $1at$2 comma $3 point $1 which has the coordinates $2 comma $3	https://www.khanacademy.org/math/cc-sixth-grade-math/ https://youtu.be/S6BHQMk8C_A
set	G6 math	fenced	mrow { ... }		$1 set of $1	https://www.khanacademy.org/math/cc-sixth-grade-math/
mean-absolute-deviation	G6 math	symbol	mi MAD			https://www.khanacademy.org/math/cc-sixth-grade-math/
celsius	G6 math	postfix unit	mi C			https://www.khanacademy.org/math/cc-sixth-grade-math/
interquartile-range	G6 math	symbol	mi IQR			https://www.khanacademy.org/math/cc-sixth-grade-math/
pi	G7 math	constant	mi π			https://www.khanacademy.org/math/cc-seventh-grade-math
radius	G7 math	symbol	mi r			https://www.khanacademy.org/math/cc-seventh-grade-math
diameter	G7 math	symbol	mi d			https://www.khanacademy.org/math/cc-seventh-grade-math
probability	G7 math	function	mi p			https://www.khanacademy.org/math/cc-seventh-grade-math
square-root	G8 math	msqrt	msqrt	principle-root	square-root of $1 principle root of $1	https://www.khanacademy.org/math/cc-eighth-grade-math https://youtu.be/qFFhdLlX220?t=58
root	G8 math	mroot	mroot			https://www.khanacademy.org/math/cc-eighth-grade-math
change	G8 math highschool physics	function	mi Δ	displacement	delta $1 change in $1	https://www.khanacademy.org/math/cc-eighth-grade-math https://youtu.be/24WMbh1BBKc https://youtu.be/Dzw2nLd7DFw?t=113
distance	G8 math	symbol	mi d mi D		distancebetween$1 and $2	https://www.khanacademy.org/math/cc-eighth-grade-math https://youtu.be/S6BHQMk8C_A?t=88
triangle	G8 math	prefix	mrow △ $1$2$3			https://www.khanacademy.org/math/cc-eighth-grade-math
square	G8 math	prefix	mrow □ $1$2$3$4			https://www.khanacademy.org/math/cc-eighth-grade-math
rectangle	G8 math	prefix	mrow ▭ $1$2$3$4			https://www.khanacademy.org/math/cc-eighth-grade-math
volume	G8 math	symbol	mi V			https://www.khanacademy.org/math/cc-eighth-grade-math
translates-to	G8 math	infix	mo →	maps-to		https://www.khanacademy.org/math/cc-eighth-grade-math https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:matrices/x9e81a4f98389efdf:elementary-matrix-row-operations/a/matrix-row-operations?modal=1
ordered-pair	G8 math	fenced	mrow ⟨$1, $2⟩ mrow ($1, $2) mrow ($1 ; $2)	tuple pair ordered-set-notation	$1 $2 the pair $1 comma $2	https://www.khanacademy.org/math/cc-eighth-grade-math https://faculty.tarleton.edu/jgresham/Math%20109/notes_vector.pdf https://en.wikipedia.org/wiki/Vector_notation#Ordered_set_notation
translation	G8 math	msub	msub T ($1, $2)		T $1 comma $2 translation by $1 comma $2	https://www.khanacademy.org/math/cc-eighth-grade-math
positive	algebra 1 ecology	prefix atom	mo +			https://youtu.be/PDReqvXfkBA https://youtu.be/mHH0sSm2cK8?t=52 https://www.khanacademy.org/science/high-school-biology/hs-ecology/hs-ecological-relationships/a/ecological-interactions?modal=1
negative	algebra 1 ecology	prefix atom	mo -			https://youtu.be/mHH0sSm2cK8?t=52 https://www.khanacademy.org/science/high-school-biology/hs-ecology/hs-ecological-relationships/a/ecological-interactions?modal=1
or	algebra 1	infix	mtext OR mtext or			https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:compound-inequalities/a/compound-inequalities-review
and	algebra 1	infix	mtext AND mtext and			https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:compound-inequalities/a/compound-inequalities-review
interval	algebra 1	fenced	mrow ($1,$2) mrow [$1, $2) mrow ($1, $2] mrow [$1, $2] mrow ]$1, $2[ mrow ($1 ; $2) mrow [$1 ; $2] mrow [$1 ; $2) mrow ($1 ; $2]			https://youtu.be/A3xPhzs-KBI?t=486 https://youtu.be/HZ7a9YkF204?t=5795
particular-value-of ?	algebra 1	msub	msub $1 $2		$1 $2 $1 sub $2	https://youtu.be/-6Fu2T_RSGM?t=37 https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:summary-forms-of-two-variable-linear-equations/a/forms-of-linear-equations-review?modal=1
inverse-function	algebra 1	msup	msup $1 -1	inverse	$1 inverse	https://youtu.be/wSiamij_i_k https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:inverse-functions-intro/a/intro-to-inverse-functions?modal=1 https://youtu.be/aHzd-u35LuA?t=139 https://youtu.be/Ei54NnQ0FKs?t=341
system-of-equations	algebra 1	prefix	mo { mo |			https://youtu.be/BmmB-U6jq1w https://bg.wikipedia.org/wiki/%D0%A1%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0%D0%BB%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D0%B8%D1%83%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F
identically-equal	algebra 1	infix	mo ⇔ mo <=>		$1 is identically equal to $2	https://youtu.be/BmmB-U6jq1w?t=305
piecewise	algebra 1	mtable	mrow { mtable $1...$n			https://youtu.be/-DTMakGDZAw?t=329 https://youtu.be/v1ucHH06AxM https://youtu.be/riXcZT2ICjA?t=293
such-that	algebra 1	infix	mo | mo : mo s.t.
element-of	algebra 1 set theory	infix	mo ∈	in, member-of	$1 is in $2 $1 is an element of $2 $1 is a member of $2 $1 within $2 $1 is between $2.1 and $2.2 $1 belongs to $2 $1 belonging to $2	https://youtu.be/-DTMakGDZAw?t=186
not-element-of	set theory	infix	mo ∉	not-member-of		https://youtu.be/GVZUpOm3XUg
subset-of-or-equal	set theory	infix	mo ⊆	subset-of		https://youtu.be/1wsF9GpGd00?t=90
proper-subset-of	set theory	infix	mo ⊂ mo ⊊	strict-subset-of		https://youtu.be/1wsF9GpGd00?t=145 https://en.wikipedia.org/wiki/Subset https://mathworld.wolfram.com/ProperSubset.html https://ncatlab.org/nlab/show/proper+subset
proper-superset-of	set theory	infix	mo ⊃ mo ⊋	strict-superset-of		https://youtu.be/1wsF9GpGd00?t=145 https://en.wikipedia.org/wiki/Subset https://mathworld.wolfram.com/ProperSubset.html https://ncatlab.org/nlab/show/proper+subset
real-numbers	algebra 1	constant	mi ℝ			https://youtu.be/-DTMakGDZAw?t=186
iff	algebra 1	infix	mi iff mo ⟺ mo ⇕			https://youtu.be/xmrhZ5ySaD0?t=275 https://youtu.be/Y7sqB1e4RBI?t=339
sequence-range	algebra 1	msubsup munderover	msubsup { $1 } mrow $2=$3 mrow $4 munderover { $1 } mrow $2=$3 mrow $4		$1 for $2 going from $3 to $4	https://youtu.be/KRFiAlo7t1E?t=80
progression	algebra 1	fenced	{ $1, $2 ... $n } ( msub $1 $2 )	sequence		https://youtu.be/_cooC3yG_p0?t=38
plus-or-minus	algebra 1	infix prefix	mo ±	plus-minus		https://youtu.be/naVFTNWVlQU?t=106
discriminant	algebra 1	symbol	mi D			https://artofproblemsolving.com/wiki/index.php/Discriminant
annotation?	algebra 1	munder mover	munder munder $1 ⏟ $2 mover mover $1 ⏞ $2		$1, call it $2, $1, expressed as $2, $1, which is $2,	https://youtu.be/pPM72fPwIjw?t=32 https://www.khanacademy.org/math/integral-calculus/ic-integration/ic-integral-calc-intro/a/accumulation-and-net-change-in-context?modal=1 https://www.khanacademy.org/math/integral-calculus/ic-integration/ic-u-sub/a/review-applying-u-substitution?modal=1 https://wikimedia.org/api/rest_v1/media/math/render/svg/ed9e4ee62efb585271572cbf0fd9149c90a400fd
braced-group?	general		munder $1 ⏟ mover $1 ⏞		start-braced-group $1 end-braced-group?	https://www.cut-the-knot.org/arithmetic/algebra/TriPiInPascal.shtml
implies	algebra 1	infix	mo ⇒		$1 implies $2 $1 which implies $2 $1 . This tells us $2 if $1 we get $2 $1 lets us know that $2 $1, so $2 $1 suggests $2 $1 thus $2	https://youtu.be/mX91_3GQqLY?t=206
piecewise	algebra 2	mtable	{ mtable		… 2 cases, case 1 …, case 2 …, …
final	algebra 2	symbol	msub $1 mi f		$1 final	https://youtu.be/9COoRE8pc5k?t=39
initial	algebra 2	symbol	msub $1 mi i		$1 initial	https://youtu.be/9COoRE8pc5k?t=39
imaginary-unit	algebra 2	constant	mi i		i	https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex/x2ec2f6f830c9fb89:imaginary/a/intro-to-the-imaginary-numbers?modal=1
complex-square-root	algebra 2	msqrt	msqrt $1		square root of $1 principal square root of $1	https://youtu.be/s03qez-6JMA
defined-as	algebra 2	infix	mo = mo :=		$1 defined to be $2 $1 defined as $2 $1 is just going to be $2	https://youtu.be/A_ESfuN1Pkg?t=29
compound-name	algebra 2	msub msup msubsup	msub $1 $2 msup $1 $2 msubsup $1 $2 $3	embellished-name, decorated-name	$1 $2 $1 $2 $3	https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex/x2ec2f6f830c9fb89:complex-mul/a/complex-number-operations-review?modal=1 https://www.khanacademy.org/math/geometry/hs-geo-solids/xff63fac4:hs-geo-cavalieri-s-principle/a/volume-of-a-pyramid-or-cone?modal=1
indexed-argument?	algebra 2	msub	msub $1 $2		$1 sub $2	https://youtu.be/Cf0-6ngH2gs?t=46
base	algebra 2	msub	msub $1 $2		$1 base $2	https://youtu.be/Z5myJ8dg_rM?t=131
common-logarithm	algebra 2	function indexed function	mi log msub log 10			https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:log-intro/a/intro-to-logarithms?modal=1
natural-logarithm	algebra 2	function indexed function	mi ln msub log e			https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:log-intro/a/intro-to-logarithms?modal=1
euler-number	algebra 2	constant	mi e		e
aligned-equation	algebra 2	mtable				https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:log-prop/a/justifying-the-logarithm-properties?modal=1
trigonometric-function	algebra 2	function	mi sin mi cos mi tan mi tg mi csc mi sec mi cot mi arcsin mi arccos mi arctan mi arctg
pi	algebra 2	constant	mi π			https://youtu.be/EnwWxMZVBeg
radian	algebra 2	postfix unit	mi rad mi radians			https://youtu.be/EnwWxMZVBeg?t=648
constraint	algebra 2	infix	mo ,		$1 for $2 $1 restricted to $2	https://youtu.be/XFwQV-KCudw https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:rational/x2ec2f6f830c9fb89:cancel-common-factor/a/simplifying-rational-expressions-advanced?modal=1
approaches	algebra 2	infix	mo →	tends-to		https://youtu.be/X8B4Fi7wadc?t=118 https://youtu.be/nOnd3SiYZqM?t=52
direction-of-approach?	algebra 2	msup	msup $1 + msup $1 -		$1 from above $1 from the right $1 from the positive direction $1 from values greater than $1 $1 from below $1 from the left $1 from the negative direction $1 from values smaller than $1	https://youtu.be/X8B4Fi7wadc?t=124 https://youtu.be/nOnd3SiYZqM https://youtu.be/2xdh0yKopB8?t=141
congruent	high school geometry	infix	mo ≅		$1 congruent to $2	https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-trans-and-congruence/v/segment-congruence-equivalent-to-having-same-length?modal=1
length-of-segment	high school geometry	mrow	mrow $1 $2 /mrow		$1 $2 the length of segment $1 $2	https://youtu.be/WDHW-VZK3YI?t=125
ray	high school geometry	mover	mover $1 →
negated-operator?	high school geometry	infix	(unicode compose char for updiagonalstrike) mo ⇏		does not $1 is not $1	https://youtu.be/8Ld8Csu4sEs?t=133 https://youtu.be/Gk1mWXIpasE?t=146
qualified-operator?	high school geometry	mover	mover $1 $2		by $2, $1	https://youtu.be/Rsi5mzEaCPw?t=295
triangle-similarity?	high school geometry	infix	mo ~		$1 is similar to $2	https://youtu.be/9ThXDY9Y3oU?t=93 https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-congruence-theorems/a/properties-of-congruence-and-equality?modal=1 https://youtu.be/VXlFEilh-cw?t=1254
perpendicular	high school geometry	infix	mo ⟂		$1 is perpendicular to $2	https://youtu.be/7UISwx2Mr4c?t=389
area	high school geometry	fenced	mrow [ $1 ... $n ]		area of $1 $2 … $n	https://youtu.be/3FManXv4mZM
arc	high school geometry	mover	mover ⌒			https://youtu.be/3n0LvI99-KM?t=27 https://youtu.be/U2W7HPyC0cM?t=628
circle	high school geometry	prefix	mo ◯			https://youtu.be/3n0LvI99-KM?t=32
side-angle-side	high school geometry	symbol	mi SAS			https://youtu.be/3n0LvI99-KM?t=184 https://youtu.be/7bO0TmJ6Ba4?t=152
angle-angle	high school geometry	symbol	mi AA			https://youtu.be/7bO0TmJ6Ba4?t=152
side-side-side	high school geometry	symbol	mi SSS			https://youtu.be/7bO0TmJ6Ba4?t=152
parallel	high school geometry	infix	mo || mo ∥		$1 is parallel to $2	https://youtu.be/TpIBLnRAslI?t=190
line	high school geometry	mover	mover ↔		line $1 $2	https://youtu.be/HyThzLRuqXo?t=95
golden-ratio	high school geometry	constant	mi φ			https://youtu.be/v5SAMuRanGM?t=23
continued-fraction	high school geometry	mfrac				https://youtu.be/v5SAMuRanGM?t=79
angular-description?	high school geometry	mrow	mrow $1-$2-$3		$1 $2 $3	https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-special-right-triangles/a/special-right-triangles-review?modal=1
adjacent	high school geometry	symbol	mi adj mtext adjacent			https://youtu.be/G-T_6hCdMQc?t=165
hypotenuse	high school geometry	symbol	mi hyp mtext hypotenuse			https://youtu.be/G-T_6hCdMQc?t=165 https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-modeling-with-right-triangles/a/right-triangle-trigonometry-review?modal=1
opposite	high school geometry	symbol	mi opp mtext opposite			https://youtu.be/G-T_6hCdMQc?t=327
measure	high school geometry	function	mi m			https://youtu.be/h-_BDon5oes?t=49
real-part	complex numbers	symbol / function	mi Re mi ℜ mi ℝ			https://youtu.be/Efoeqb6tC88
imaginary-part	complex numbers	symbol / function	mi Im mi ℑ			https://youtu.be/Efoeqb6tC88
conjugate	complex numbers	msup	msup $1 * mover $1 ¯			https://youtu.be/BZxZ_eEuJBM?t=117
sum	precalculus polynomials	indexed operator	mo ∑			https://youtu.be/iPwrDWQ7hPc?t=290
binomial-coefficient	precalculus polynomials	fenced frac mmultiscripts	mrow ( mfrac $1 $2 )		$1 choose $2	https://youtu.be/iPwrDWQ7hPc?t=290 https://youtu.be/boH4l1SgJbM?t=206
factorial	combinatorics	postfix	mo !			https://youtu.be/iPwrDWQ7hPc?t=319
function-composition	precalculus	infix	mo ∘	composition	$1 composed with $2	https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:composing/a/introduction-to-function-composition?modal=1
magnitude	precalculus	fenced	mrow | $1 | mrow ǁ $1 ǁ			https://youtu.be/v_W-aaB1irs?t=186
vector	precalculus	mover	mover $1 →			https://youtu.be/BmDph4uNfPI https://youtu.be/Sy_7PkoTCtA?t=83
unit-vector	precalculus	mover	mover $1 ^			https://youtu.be/jCkhbKFZgLk?t=161
matrix	precalculus linear algebra	fenced	mrow [ mtable ]			https://youtu.be/8QihetGj3pg
transpose	precalculus	msup				https://www.khanacademy.org/math/linear-algebra/matrix-transformations/matrix-transpose/v/linear-algebra-transpose-of-a-matrix
kilonewton	precalculus	postfix unit	mi kN			https://youtu.be/KNklNvGof8o?t=105
kilometer	precalculus	postfix unit	mi km			https://youtu.be/cf1-CwrDwrA?t=19
interchange-rows	precalculus	infix	mo ↔	swap-rows switch-rows		https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:matrices/x9e81a4f98389efdf:elementary-matrix-row-operations/a/matrix-row-operations?modal=1
matrix-by	precalculus	infix	mo x		$1 by $2 $1 rows and $2 columns	https://youtu.be/l7p1X5pdDoc
matrix-order	precalculus	msub munder	msub $1 $2 munder $1 $2		$1, $2 a $2 matrix $1 $1 of order $2 $1, a matrix with $2	https://youtu.be/l7p1X5pdDoc
identity-matrix	precalculus	symbol	mi I		I	https://youtu.be/l7p1X5pdDoc
determinant	precalculus	fenced function	mrow | $1 | mi det			https://youtu.be/iUQR0enP7RQ https://youtu.be/01c12NaUQDw
inverse-matrix	precalculus	msup	msup $1 -1	inverse	$1 inverse	https://youtu.be/iUQR0enP7RQ
adjugate	precalculus	function	mi adj			https://youtu.be/01c12NaUQDw
intersection	set theory	infix indexed operator	mo ∩ mo ⋂		$1 intersect $2 $1 intersected with $2 the intersection of $1 and $2 $1 and $2	https://youtu.be/VjLEoo3hIoM?t=146 https://youtu.be/xPUm5SUVzTE?t=288
union	set theory	infix indexed operator	mo ∪ mo ⋃		$1 union $2 the union of $1 and $2 $1 or $2	https://youtu.be/jAfNg3ylZAI?t=183
set-difference	set theory	infix	mo \ mo -	relative-complement	$1 minus $2 $2 subtracted from $1 the difference between $1 and $2 the relative complement of $2 in $1	https://youtu.be/2B4EBvVvf9w?t=135 https://mathworld.wolfram.com/SetDifference.html https://en.wikipedia.org/wiki/Complement_(set_theory)#Relative_complement
absolute-complement	set theory	msup mover function	msup $1 ′ msup $1 C mover $1 ¯ mrow ∁ $1 mrow msub ∁ U /msub $1	complement		https://youtu.be/OCNXS_m1HWU?t=118 https://en.wikipedia.org/wiki/Complement_(set_theory) https://mathworld.wolfram.com/Complement.html https://en.wikipedia.org/wiki/Complementary_event https://en.wikipedia.org/wiki/Arrangement_of_hyperplanes https://en.wikipedia.org/wiki/Complement_(complexity) https://en.wikipedia.org/wiki/Complement_graph https://ncatlab.org/nlab/show/complement
empty-set	set theory	symbol	mrow { } mi ∅			https://en.wikipedia.org/wiki/Empty_set
number-set	set theory	symbol or msup symbol numer/+			Integers, positive integers, Z 2	Maybe break this into lots of names: Integers, Reals, Complexes, …
conditional-probability?	precalculus	infix	mo |	given	$1 given $2	https://youtu.be/VjLEoo3hIoM?t=244
permutation-symbol?	precalculus	function msubsup msub mmultiscripts	P($1, $2) msubsup P $1 $2 msub P mrow $1, $2 mmultiscripts ...	variation arrangement partial-permutation sequence-without-repetition	$2-permutations of $1	https://youtu.be/p8vIcmr_Pqo?t=152 https://www.mathsisfun.com/combinatorics/combinations-permutations.html https://en.wikipedia.org/wiki/Permutation#k-permutations_of_n
outcome?	precalculus	mrow	mrow $1...$n	event?		https://youtu.be/8TIben0bJpU?t=160
first-derivative	differential calculus	msup	msup ′ msup ' ◌̇	derivative	$1 prime first derivative of $1	https://youtu.be/N2PpRnFqnqY?t=338
limit	differential calculus	prefix	mo lim			https://youtu.be/riXcZT2ICjA?t=246
sum	integral calculus	prefix	mo ∑			https://youtu.be/__Uw1SXPW7s?t=110 https://youtu.be/5jwXThH6fg4
integral	integral calculus	prefix	mo ∫			https://youtu.be/__Uw1SXPW7s?t=189
operator-range	integral calculus	msubsup munderover	msubsup $1 $2 $3 munderover $1 $2 $3 msubsup $1 mrow $2=$3 mrow $4 munderover $1 mrow $2=$3 mrow $4	range	$1 from $2 to $3 $1 with $2 going from $3 to $4	https://youtu.be/__Uw1SXPW7s?t=189 https://youtu.be/5jwXThH6fg4
derivative-operator	integral calculus	prefix	mfrac d d $1	leibniz-notation	derivative with respect to $1 of $2 derivative of $2 with respect to $1	https://youtu.be/MMv-027KEqU
evaluate	integral calculus	indexed postfix indexed fenced	$1 msubsup mo | $2 $3 msubsup mrow [ $1 ] /mrow $2 $3 msub $1 | $2 msub $1 | x=$2		$1 evaluated at $3 and at $2 $1 evaluated from $2 to $3 $1 evaluated at its bounds $3 and $2 $1 evaluated at $3 and evaluated at $2 $1 evaluated at $2 $1 evaulated at x=$2	https://youtu.be/4WJUEXIksH0?t=170 https://youtu.be/auOcNZFKfo0?t=79 https://youtu.be/auOcNZFKfo0?t=167 https://youtu.be/ldLdWj6DLTw?t=104 https://youtu.be/0rzL08BHr5c?t=193 https://www.khanacademy.org/math/integral-calculus/ic-integration/ic-u-sub/a/u-substitution-definite-integrals?modal=1
second-derivative	integral calculus	msup	msup ′′ msup ''		$1 prime prime second derivative of $1	https://youtu.be/6o7b9yyhH7k?t=24
transform?	integral calculus	mover	mover → $1		take $1	https://youtu.be/sLw902V40L0
velocity	integral calculus	function	mi v		v of $1 velocity at time $1	https://youtu.be/sLw902V40L0?t=216
acceleration	integral calculus	function	mi a		a of $1 acceleration at time $1	https://youtu.be/sLw902V40L0?t=216
position	integral calculus	function	mi s		s of $1 position at time $1	https://youtu.be/sLw902V40L0?t=216
average	integral calculus highschool physics	abbreviation mover	mi avg mover $1 ¯			https://youtu.be/wdAgEzdkFZI?t=20 https://www.khanacademy.org/science/high-school-physics/one-dimensional-motion-2/average-and-instantaneous-acceleration-2/a/acceleration-review-article-ap1?modal=1
repeating-digits	integral calculus	mstack	mstack msline $1		$1 repeating where the digits $1 keep on repeating	https://youtu.be/2BgWWsypzLA
nth-derivative	integral calculus	msup	msup $1 mrow ( $2 )		$2-th derivative of $1	https://youtu.be/RRYh4cqv6ZQ
remainder-function	integral calculus	function	mi R			https://youtu.be/wgkRH5Uoavk?t=206
error-function	integral calculus	function	mi E			https://youtu.be/wgkRH5Uoavk?t=206
polynomial-arguments-degree-center?	integral calculus	msub	msub $1 mrow $2 msub $1 mrow $2, $3		$1 for the $2-th degree polynomial $1 for a $2-th degree polynomial centered at $3	https://youtu.be/wgkRH5Uoavk?t=206 https://youtu.be/2KWifFPOy5s?t=195
positive-ion	chemistry	msup postfix	msup $1 + mo +	cation		https://youtu.be/oda2K4IFBaE?t=46 https://www.khanacademy.org/science/high-school-biology/hs-biology-foundations/hs-ph-acids-and-bases/a/hs-ph-acids-and-bases-review?modal=1
negative-ion	chemistry	msup postfix	msup $1 - mo -	anion		https://www.khanacademy.org/science/high-school-biology/hs-biology-foundations/hs-ph-acids-and-bases/a/hs-ph-acids-and-bases-review?modal=1
ph	chemistry	symbol	mi pH		p h	https://youtu.be/oda2K4IFBaE
gas	chemistry	postfix	$1 (g)			https://youtu.be/__zy-oOLPug
solid	chemistry	postfix	$1 (s)			https://youtu.be/__zy-oOLPug?t=806
liquid	chemistry	postfix	$1 (l)			https://youtu.be/__zy-oOLPug?t=806
aqueous	chemistry	postfix	$1 (aq)			https://youtu.be/__zy-oOLPug?t=825
yield	chemistry	infix	mo →	reaction?	$1 yields $2 $1 forms $2 $1 reacts to form $2	https://youtu.be/__zy-oOLPug?t=561
catalyst	chemistry	symbol	mi C			https://youtu.be/__zy-oOLPug?t=561
increase?	chemistry	postfix	mo ↑		$1 goes up $1 increases higher $1 increase of $1	https://youtu.be/__zy-oOLPug?t=795
genotype	genetics	mrow	mrow msup C R msup C W /mrow		-	https://www.khanacademy.org/science/high-school-biology/hs-classical-genetics/hs-non-mendelian-inheritance/a/multiple-alleles-incomplete-dominance-and-codominance?modal=1 https://www.khanacademy.org/science/high-school-biology/hs-classical-genetics/hs-non-mendelian-inheritance/a/pleiotropy-lethal-alleles-and-sex-linkage?modal=1
base-pair	genetics	postfix unit	mi bp			https://youtu.be/_EYsykjsfiY?t=407 https://en.wikipedia.org/wiki/Base_pair#Length_measurements
kilo-base-pair	genetics	postfix unit	mi kb mi kbp			https://en.wikipedia.org/wiki/Base_pair#Length_measurements
mega-base-pair	genetics	postfix unit	mi Mb mi Mbp			https://en.wikipedia.org/wiki/Base_pair#Length_measurements
giga-base-pair	genetics	postfix unit	mi Gb mi Gbp			https://en.wikipedia.org/wiki/Base_pair#Length_measurements
nucleotide	genetics	postfix unit	mi nt			https://en.wikipedia.org/wiki/Base_pair#Length_measurements
kilo-nucleotide	genetics	postfix unit	mi knt			https://en.wikipedia.org/wiki/Base_pair#Length_measurements
mega-nucleotide	genetics	postfix unit	mi Mnt			https://en.wikipedia.org/wiki/Base_pair#Length_measurements
giga-nucleotide	genetics	postfix unit	mi Gnt			https://en.wikipedia.org/wiki/Base_pair#Length_measurements
kiloannum	geology	postfix unit	mi ka		thousand years	https://en.wikipedia.org/wiki/Year#SI_prefix_multipliers
megaannum	geology	postfix unit	mi Ma		million years	https://youtu.be/Q-aGAX27SIo?t=338 https://en.wikipedia.org/wiki/Year#SI_prefix_multipliers
gigaannum	geology	postfix unit	mi Ga		billion years	https://en.wikipedia.org/wiki/Year#SI_prefix_multipliers
teraannum	geology	postfix unit	mi Ta		trillion years	https://en.wikipedia.org/wiki/Year#SI_prefix_multipliers
petaannum	geology	postfix unit	mi Pa		quadrillion years	https://en.wikipedia.org/wiki/Year#SI_prefix_multipliers
exaannum	geology	postfix unit	mi Ea		quintillion years	https://en.wikipedia.org/wiki/Year#SI_prefix_multipliers
neutral	ecology	symbol	mn 0			https://www.khanacademy.org/science/high-school-biology/hs-ecology/hs-ecological-relationships/a/hs-ecological-relationships-review?modal=1