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 | ||