ABCDEFGHIJKLMNOPQRSTUVWXYZAAABACAD
1
SubjectFormExample notationAliasSpeech HintsSourcesNotesSee alsoSpecific cMML
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greater-thanG2 mathinfix
mo >greater, bigger-than$1 greater-than $2https://en.wikipedia.org/wiki/Greater_Than
https://www.khanacademy.org/math/cc-2nd-grade-math		http://notations.hoplahup.net/Census/CD-relation1/gtgt
3
more-thanG3 mathprefixmo >exceedsmore-than $1https://youtu.be/mLRYCaYVWFc?t=258
4
$1_{>0}positive $1
5
$1 > 0$1 is positive
6
M > 0M is positive definiteassuming M "isa" matrix
7
less-thanG2 mathinfixsmaller$1 less-than $2
$1 is less-than $2		https://www.khanacademy.org/math/cc-2nd-grade-mathoptional "is" before "equal" in speech, often omitted for brevityhttp://notations.hoplahup.net/Census/CD-relation1/ltlt
8
equalG2 mathinfix
prefix		mo =$1 is $2
$1 equal to $2
equal to $1		https://www.khanacademy.org/math/cc-2nd-grade-mathfragment prefix form in mtable multi-line derivationshttp://notations.hoplahup.net/Census/CD-relation1/eqeq
9
not-equalG2 mathinfixmo ≠$1 not equal to $2https://www.khanacademy.org/math/cc-2nd-grade-mathhttp://notations.hoplahup.net/Census/CD-relation1/neqneq
10
plusG2 mathinfixmo +https://www.khanacademy.org/math/cc-2nd-grade-mathhttp://notations.hoplahup.net/Census/CD-arith1/plusplus
11
arrayG2 mathtabularmtablehttps://www.khanacademy.org/math/cc-2nd-grade-math-
12
minusG2, G6 mathinfix
prefix		mo -subtraction$1 minus $2
negative $1		https://www.khanacademy.org/math/cc-2nd-grade-mathhttp://notations.hoplahup.net/Census/CD-arith1/unary_minusminus
13
dollarG2 mathprefix unitmo $https://www.khanacademy.org/math/cc-2nd-grade-math-
14
centsG2 mathpostfix unitmi centshttps://www.khanacademy.org/math/cc-2nd-grade-math-
15
time-separatorG2 mathinfixmo :https://www.khanacademy.org/math/cc-2nd-grade-math
https://en.wikipedia.org/wiki/Colon_(punctuation)#Syntactical-descriptive		-
16
meterG2 mathpostfix unitmi mhttps://www.khanacademy.org/math/cc-2nd-grade-mathhttps://openmath.org/cd/units_metric1.html#metre-
17
centimeterG2 mathpostfix unitmi cmhttps://www.khanacademy.org/math/cc-2nd-grade-math-
18
footG2, G4 mathpostfix unit
msup		mi ft
msup '		feethttps://www.khanacademy.org/math/cc-2nd-grade-mathhttps://openmath.org/cd/units_us1.html#foot_us_survey-
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inchG2, G4 mathpostfix unit
msup		mi in
msup ''		incheshttps://www.khanacademy.org/math/cc-2nd-grade-math-
20
timesG3 mathinfixmo ×
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
The simple dot (.) and bullet variants were spotted in cyrillic texts, even if the center dot is the recommended form nowadays.

also, G6 video on invisible times: https://youtu.be/vDaIKB19TvY		http://notations.hoplahup.net/Census/CD-arith1/timestimes
21
delimited-subexpression?
parenthetical?
fenced-group?		G3, G6 math
fencedmrow ( ... )
mrow [ ... ]		https://www.khanacademy.org/math/cc-third-grade-math

https://youtu.be/AhnJtTI_DMM
22
blankG3 mathsymbolmi ?
mi 😊
mi ⭑
mspace
menclose (either box or bottom)		missing, unknown, fill in the blankhttps://www.khanacademy.org/math/cc-third-grade-math
23
divideG3 mathinfixmo ÷
mo /
mo :		https://www.khanacademy.org/math/cc-third-grade-math

https://youtu.be/SzjgcUesBWo?t=63		http://notations.hoplahup.net/Census/CD-arith1/divide
24
fractionG3 math2D mfrac$1 over $2
$1 divided by $2
the ratio of $1 and $2		https://www.khanacademy.org/math/cc-third-grade-mathhttp://notations.hoplahup.net/Census/CD-arith1/divide
25
unitG3 mathpostfix unitmi tens
mi unit
mi parts
mi acorns
mi gnus
mi pieces		https://www.khanacademy.org/math/cc-third-grade-math
26
approximatelyG3 mathinfixmo ≈
mo ~		roughlyhttps://www.khanacademy.org/math/cc-third-grade-math
27
number-ofG3 mathprefixmo #https://www.khanacademy.org/math/cc-third-grade-mathAlso seen in plain text used as a constant, e.g.
"All real #'s "
28
list-separatorG3 mathinfixmo ,$1 $2
$1 and $2		https://www.khanacademy.org/math/cc-third-grade-mathcomas were pronounced as "to" when reading an arithmetic progression. E.g. "5 to 7 to 9 to 11 and keep going" for 5,7,9,11, ...

but were pronounced "and" when grouping terms for a relation e.g.

x,y < 0
29
ellipsisG3 mathsymbolmo ...
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
30
focusG3 mathenclosedmenclose notation="box"https://www.khanacademy.org/math/cc-third-grade-math
31
ordinal-markG3 mathmsupmsup th
msup rd
msup nd		https://www.khanacademy.org/math/cc-third-grade-math
32
gramG3 mathpostfix unitmi ghttps://www.khanacademy.org/math/cc-third-grade-math
33
kilogramG3 mathpostfix unitmi kghttps://www.khanacademy.org/math/cc-third-grade-math
34
range-separatorG3 mathinfixmo -$1 to $2https://www.khanacademy.org/math/cc-third-grade-math
35
milliliterG3 mathpostfix unitmi mLhttps://www.khanacademy.org/math/cc-third-grade-math
36
literG3 mathpostfix unitmi Llitrehttps://www.khanacademy.org/math/cc-third-grade-math
37
greater-than-or-equalG4 mathinfixmo ≥https://www.khanacademy.org/math/cc-fourth-grade-math
38
less-than-or-equalG4 mathinfixmo ≤https://www.khanacademy.org/math/cc-fourth-grade-math
39
remainderG4 mathinfixmo r
mo R		https://www.khanacademy.org/math/arithmetic-home/multiply-divide/remainders/a/understanding-remainders
40
variableG4 mathsymbolmi x
mi y
mi z
mi i
mi 2		https://www.khanacademy.org/math/cc-fourth-grade-math

https://youtu.be/L1c0SP4W4ro?t=145		Note: "i" is used as an index variable in geometric progressions (algebra 1), so it is not always the imaginary unit.

Note 2: In geometry, numbers can be used as variables, e.g. "∠1", "∠2"

mi msub ∠ 1
41
least-common-denominatorG4 mathfunctionLCDhttps://www.khanacademy.org/math/cc-fourth-grade-mathhttp://notations.hoplahup.net/Census/CD-arith1/lcm http://notations.hoplahup.net/Census/CD-arith1/gcd
42
degreesG4 mathmsupmsup $1 °https://www.khanacademy.org/math/cc-fourth-grade-math
43
angleG4 mathprefixmo ∠
mo ∡		angle https://www.khanacademy.org/math/cc-fourth-grade-math

https://youtu.be/JyyE7lDEKdA?t=1771
44
measure-of-angleG4 mathprefixmo ∠ ABC
45
poundG4 mathpostfix unitmi lb.
mi lb
mi lbs		https://www.khanacademy.org/math/cc-fourth-grade-math
46
tonG4 mathpostfix unitmi Thttps://www.khanacademy.org/math/cc-fourth-grade-math
47
ounceG4 mathpostfix unitmi ozhttps://www.khanacademy.org/math/cc-fourth-grade-math
48
day-periodG4 mathpostfix unitmi AM
mi a.m.
mi PM
mi p.m.		https://www.khanacademy.org/math/cc-fourth-grade-math
49
line-segmentG4 mathmover
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		sometimes written without the mover, especially when segments are divided in fractions, see e.g. https://youtu.be/LrS5_l-gk94
50
powerG5 mathmsupmsup $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		power with unit base sometimes read differently e.g. "m^3" is "cubic meters" (algebra 1) rather than "m cubed". But the "m cubed" reading has been heard at Khan as well.

If $1 is a parenthetical, e.g. (1.06 ^ 0.1) ^2 , you can hear "and then that raised" as the connective for power		http://notations.hoplahup.net/Census/CD-arith1/power
51
pointG5 mathfencedmrow ($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		Bulgarian texts tend to use semicolon (;) as a separator to better contrast with the "decimal comma" as in (1,5 ; 2,5 )
52
ratioG6 mathinfixmo :$1 to $2
ratio $1 to $2
https://www.khanacademy.org/math/cc-sixth-grade-math/
53
miles-per-hourG6 mathpostfix unitmi mphhttps://www.khanacademy.org/math/cc-sixth-grade-math/
54
rateG6 mathmfrac
infix		mfrac
$1p$2		$1 per $2https://www.khanacademy.org/math/cc-sixth-grade-math/
55
percentG6 mathpostfixmo %https://www.khanacademy.org/math/cc-sixth-grade-math/
56
absolute-valueG6 mathfencedmrow | $1 |https://www.khanacademy.org/math/cc-sixth-grade-math/abs
57
shapeG6 mathn-ary concatmrow $1 $2 .. $N$1 $2 ... $Nhttps://www.khanacademy.org/math/cc-sixth-grade-math/
58
least-common-multipleG6 mathfunctionmi lcm
mi LCM		https://www.khanacademy.org/math/cc-sixth-grade-math/http://notations.hoplahup.net/Census/CD-arith1/lcm
59
greatest-common-divisorG6 mathfunctionmi gcd
mi GCD
mi gcf
mi GCF		greatest-common-factor
https://www.khanacademy.org/math/cc-sixth-grade-math/http://notations.hoplahup.net/Census/CD-arith1/gcd
60
evaluates-toG6 mathinfixmo →https://www.khanacademy.org/math/cc-sixth-grade-math/
61
point-atG6 mathmixfixmrow $1($2,$3)point $1 at $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
62
setG6 mathfencedmrow { ... }$1
set of $1		https://www.khanacademy.org/math/cc-sixth-grade-math/set
63
mean-absolute-deviationG6 mathsymbolmi MADhttps://www.khanacademy.org/math/cc-sixth-grade-math/
64
celsiusG6 mathpostfix unitmi Chttps://www.khanacademy.org/math/cc-sixth-grade-math/
65
interquartile-rangeG6 mathsymbolmi IQRhttps://www.khanacademy.org/math/cc-sixth-grade-math/
66
piG7 mathconstantmi πhttps://www.khanacademy.org/math/cc-seventh-grade-mathhttp://notations.hoplahup.net/Census/CD-nums1/pi
67
radiusG7 mathsymbolmi rhttps://www.khanacademy.org/math/cc-seventh-grade-math
68
diameterG7 mathsymbolmi dhttps://www.khanacademy.org/math/cc-seventh-grade-math
69
probabilityG7 mathfunctionmi phttps://www.khanacademy.org/math/cc-seventh-grade-math
70
square-rootG8 mathmsqrtmsqrtprinciple-rootsquare-root of $1
principle root of $1		https://www.khanacademy.org/math/cc-eighth-grade-math

https://youtu.be/qFFhdLlX220?t=58
71
rootG8 mathmrootmroothttps://www.khanacademy.org/math/cc-eighth-grade-mathhttp://notations.hoplahup.net/Census/CD-arith1/root
72
changeG8 math

highschool physics		functionmi Δdisplacementdelta $1
change in $1		https://www.khanacademy.org/math/cc-eighth-grade-math

https://youtu.be/24WMbh1BBKc

https://youtu.be/Dzw2nLd7DFw?t=113
73
distanceG8 mathsymbolmi d
mi D		distance between $1 and $2https://www.khanacademy.org/math/cc-eighth-grade-math

https://youtu.be/S6BHQMk8C_A?t=88
74
triangleG8 mathprefixmrow △ $1$2$3 https://www.khanacademy.org/math/cc-eighth-grade-math
75
squareG8 mathprefixmrow □ $1$2$3$4https://www.khanacademy.org/math/cc-eighth-grade-math
76
rectangleG8 mathprefixmrow ▭ $1$2$3$4https://www.khanacademy.org/math/cc-eighth-grade-math
77
volumeG8 mathsymbolmi Vhttps://www.khanacademy.org/math/cc-eighth-grade-math
78
translates-toG8 mathinfixmo →maps-tohttps://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
79
ordered-pairG8 mathfencedmrow ⟨$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		Bulgarian texts tend to use semicolon (;) as a separator to better contrast with the "decimal comma" as in (1,5 ; 2,5 )
80
translationG8 mathmsubmsub T ($1, $2)T $1 comma $2
translation by $1 comma $2		https://www.khanacademy.org/math/cc-eighth-grade-math
81
positivealgebra 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		Interesting: (+ +) in ecology spoken "win win", (+ -) spoken "win loss"
82
negativealgebra 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
83
oralgebra 1infixmtext OR
mtext or		https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:compound-inequalities/a/compound-inequalities-review
84
andalgebra 1infixmtext AND
mtext and		https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:compound-inequalities/a/compound-inequalities-review
85
open-intervalalgebra 1fencedmrow ($1,$2)
mrow ]$1, $2[
mrow ($1 ; $2)		https://youtu.be/A3xPhzs-KBI?t=486

https://youtu.be/HZ7a9YkF204?t=5795		Cyrillic practice uses the semicolon ; as a seprator, Western practice uses a comma.http://notations.hoplahup.net/Census/CD-interval1/
86
closed-intervalalgebra 1fencedmrow [$1, $2]
mrow [$1 ; $2]		https://youtu.be/A3xPhzs-KBI?t=486

https://youtu.be/HZ7a9YkF204?t=5795		Cyrillic practice uses the semicolon ; as a seprator, Western practice uses a comma.http://notations.hoplahup.net/Census/CD-interval1/
87
open-closed-intervalalgebra 1fencedmrow ($1, $2]
mrow ]$1, $2]
mrow ($1 ; $2]		https://youtu.be/A3xPhzs-KBI?t=486

https://youtu.be/HZ7a9YkF204?t=5795		Cyrillic practice uses the semicolon ; as a seprator, Western practice uses a comma.http://notations.hoplahup.net/Census/CD-interval1/
88
closed-open-intervalalgebra 1fencedmrow [$1, $2)
mrow [$1, $2[
mrow [$1 ; $2)		https://youtu.be/A3xPhzs-KBI?t=486

https://youtu.be/HZ7a9YkF204?t=5795		Cyrillic practice uses the semicolon ; as a seprator, Western practice uses a comma.http://notations.hoplahup.net/Census/CD-interval1/
89
90
particular-value-of ?algebra 1msubmsub $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		For some "y = mx+b", x_1 and y_1 are "particular values" of x and y

"a sub k" heard spoken for a particular value of an arithmetic sequence "a"
91
inverse-functionalgebra 1msupmsup $1 -1inverse$1 inversehttps://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		"inverse tangent" for "msup tan -1"
"inverse cosine" for "msup cos -1" but also "arc cosine"
92
system-of-equationsalgebra 1prefixmo {
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
an international addition from the Slavic school
93
identically-equalalgebra 1infixmo ⇔
mo <=>		$1 is identically equal to $2
https://youtu.be/BmmB-U6jq1w?t=305an international addition from the Slavic school, "тъждествено равен" in Bulgarian
94
piecewisealgebra 1mtablemrow { mtable $1...$nhttps://youtu.be/-DTMakGDZAw?t=329
https://youtu.be/v1ucHH06AxM
https://youtu.be/riXcZT2ICjA?t=293
95
such-thatalgebra 1infixmo |
mo :
mo s.t.
96
element-ofalgebra 1
set theory		infixmo ∈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=186Sometimes spoken "within" when $2 is an interval, or alternatively "$1 is between $2 and $3"

https://youtu.be/hg2HR9zJFq4?t=94
97
not-element-ofset theoryinfixmo ∉not-member-ofhttps://youtu.be/GVZUpOm3XUg
98
subset-of-or-equalset theoryinfixmo ⊆subset-ofhttps://youtu.be/1wsF9GpGd00?t=90
99
proper-subset-ofset theoryinfixmo ⊂
mo ⊊		strict-subset-ofhttps://youtu.be/1wsF9GpGd00?t=145
https://en.wikipedia.org/wiki/Subset
https://mathworld.wolfram.com/ProperSubset.html
https://ncatlab.org/nlab/show/proper+subset
100
proper-superset-ofset theoryinfixmo ⊃
mo ⊋		strict-superset-ofhttps://youtu.be/1wsF9GpGd00?t=145
https://en.wikipedia.org/wiki/Subset
https://mathworld.wolfram.com/ProperSubset.html
https://ncatlab.org/nlab/show/proper+subset