Examples
x + 1 | x plus one |
x -1 | x minus one |
x ± 1 | x plus or minus one |
xy | x y; x times y; x multiplied by y |
(x — y)(x + y) | x minus y, x plus y |
x/y | x over y; x divided by y; |
x ÷ y | x divided by y |
x = 5 | x equals 5; x is equal to 5 |
x ≈ y | x is approximately equal to y |
x ≡ y | x is equivalent to y; x is identical with y |
x ≠ y | x is not equal to y |
x > y | x is greater than y |
x < y | x is less than y |
x ≥ y | x is greater than or equal to y |
x ≤ y | x is less than or equal to y |
0 < x < 1 | zero is less than x is less than 1; x is greater than zero and less than 1 |
0 ≤ x ≤ 1 | zero is less than or equal to x is less than or equal to 1; x is greater than or equal to zero and less than or equal to 1 |
x² | x squared |
x³ | x cubed |
x4 | x to the fourth; x to the power four |
xn | x to the n; x to the nth; x to the power n |
x-n | x to the minus n; x to the power of minus n |
√ | root x; square root x; the square root of x |
? | the cube root of x |
? | the fourth root of x |
the nth root of x | |
(x + y)² | x plus y all squared |
(x/y)² | x over y all squared |
n! | n factorial; factorial n |
x% | x percent |
∞ | infinity |
x ∝ y | x varies as y; x is (directly) proportional to y |
x ∝ 1/y | x varies as one over y; x is indirectly proportional to y |
? | x dot |
? | x double dot |
f(x) fx | f of x; the function of x |
f‘(x) | f dash x; the (first) derivative of with respect to x |
f‘‘x | f double-dash x; the second derivative of f with respect to x |
f‘‘‘(x) | f triple-dash x; f treble-dash x; the third derivative of f with respect to x |
f(4) | f four x; the fourth derivative of f with respect to x |
∂v | the partial derivative of v |
∂v∂θ | delta v by delta theta, the partial derivative of v with respect to θ |
∂²v∂θ² | delta two v by delta theta squared; the second partial derivative of v with respect to θ |
dv | the derivative of v |
dvdθ | d v by d theta, the derivative of v with respect to theta |
d²vdθ² | d 2 v by d theta squared, the second derivative of v with respect to theta, |
∫ | integral |
integral from zero to infinity | |
∑ | sum |
the sum from i equals 1 to n | |
w.r.t. | with respect to |
logey | log to the base e of y; log y to the base e; natural log (of) y |
∴ | therefore |
∵ | because |
→ | gives, approaches |
Δx → 0 | delta x approaches zero |
limΔx→0 | the limit as delta x approaches zero, the limit as delta x tends to zero |
LtΔx→0 | the limit as delta x approaches zero, the limit as delta x tends to zero |
m/sec | metres per second |
x ∈ A | x belongs to A; x is a member of A; x is an element of A |
x∉ A | x does not belong to A; x is not a member of A; x is not an element of A |
A⊂ B | A is contained in B; A is a proper subset of B |
A ⊆ B | A is contained in B; A is a subset of B |
A ? B | A intersection B |
A ? B | A union B |
cos x | cos x; cosine x |
sin x | sine x |
tan x | tangent x, tan x |
cosec x | cosec x |
sinh x | shine x |
cosh x | cosh x |
tanh x | than x |
|x| | mod x; modulus x |
18 ℃ | eighteen degrees Centigrade |
70 ℉ | seventy degrees Fahrenheit |
Greek alphabet
Α | α | alpha | /‘ælf?/ |
Β | β | beta | /‘bi:t?/ |
Γ | γ | gamma | /‘gæm?/ |
Δ | δ | delta | /‘delt?/ |
Ε | ε | epsilon | /‘epsil?n/ |
Ζ | ζ | zeta | /‘zi?t?/ |
Η | η | eta | /‘i?t?/ |
Θ | θ | theta | /‘θi?t?/ |
Ι | ι | iota | /a?‘??t?/ |
Κ | κ | kappa | /‘kæp?/ |
Λ | λ | lamda | /‘læmd?/ |
Μ | μ | mu | /‘mju?/ |
Ν | ν | nu | /‘nju?/ |
Ξ | ξ | xi | /‘ksa?/ |
Ο | ο | omicron | /‘??m?kr?n/ |
Π | π | pi | /‘pa?/ |
Ρ | ρς | rho | /‘r??/ |
Σ | σ | sigma | /‘s?gm?/ |
Τ | τ | tau | /‘tɑ?/ |
Υ | υ | upsilon | /‘j?ps?l?n/ |
Φ | φ | phi | /‘fa?/ |
Χ | χ | chi | /‘ka?/ |
Ψ | ψ | psi | /‘psa?/ |
Ω | ω | omega | /‘??m?g?/ |
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Roman alphabet
A | a | /‘e?/ |
B | b | /‘bi?/ |
C | c | /‘si?/ |
D | d | /‘di?/ |
E | e | /‘i?/ |
F | f | /‘ef/ |
G | g | /‘?i?/ |
H | h | /‘e??/ |
I | i | /‘a?/ |
J | j | /‘?e?/ |
K | k | /‘ke?/ |
L | l | /‘el/ |
M | m | /‘em/ |
N | n | /‘en/ |
O | o | /‘??/ |
P | p | /‘pi?/ |
Q | q | /‘kju?/ |
R | r | /‘ɑ?/ |
S | s | /‘es/ |
T | t | /‘ti:/ |
U | u | /‘ju:/ |
V | v | /‘vi:/ |
W | w | /‘d?blju?/ |
X | x | /‘eks/ |
Y | y | /‘wa?/ |
Z | z | /‘zed/ |
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Fractions
½ | a half | /? ‘hɑ:f/ |
¼ | a quarter | /? ‘kw??t?/ |
¾ | three quarters | /θri? ‘kw??t?z/ |
? | a third | /? ‘θ?:d/ |
? | two thirds | /tu: ‘θ?:dz/ |
? | a fifth | /? ‘f?fθ/ |
? | two fifths | /tu: ‘f?fθs/ |
? | three fifths | /θri? ‘f?fθs/ |
? | four fifths | /f?? ‘f?fθs/ |
? | a sixth | /? ‘s?ksθ/ |
? | five sixths | /fa?v ‘s?ksθs/ |
? | an eighth | /?n ‘e?tθ/ |
? | three eighths | /θri? ‘e?tθs/ |
? | five eighths | /fa?v ‘e?tθs/ |
? | seven eighths | /sev?n ‘e?tθs/ |
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Decimal Fractions
0.1 | nought point one | /n?:t p??nt w?n/ |
0.01 | nought point oh one | /n?:t p??nt ?? w?n/ |
0.0001 | nought point oh oh oh one | /ten p??nt ?? ?? ?? w?n/ |
1.1 | one point one | /w?n p??nt w?n/ |
1.2 | one point two | /w?n p??nt tu:/ |
1.23 | one point two three | /w?n p??nt tu: θri:/ |
1.0123 | one point oh one two three | /w?n p??nt ?? w?n tu: θri:/ |
10.01 | ten point oh one | /ten p??nt ?? w?n/ |
21.57 | twenty-one point five seven | /‘twent? w?n p??nt fa?v ‘sev?n/ |
2.6666666666.... | two point six recurring | /tu: p??nt s?ks r?‘k?:r??/ |
2.612361236123... | two point six one two three recurring | /tu: p??nt s?ks w?n tu: θri: r?‘k?:r??/ |
2.5 million | two point five million | /tu: p??nt fa?v ‘m?lj?n/ |
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SI Units: Prefixes
10-24 | yocto | y | /‘j?kt??/ |
10-21 | zepto | z | /‘zept??/ |
10-18 | atto | a | /‘at??/ |
10-15 | femto | f | /‘femt??/ |
10-12 | pico | p | /‘pi:k??/ |
10-9 | nano | n | /‘nan??/ |
10-6 | micro | µ | /‘ma?kr??/ |
10-3 | milli | m | /‘m?l?/ |
10-2 | centi | c | /‘sent?/ |
10-1 | deci | d | /‘des?/ |
103 | kilo | k | /‘k?l??/ |
106 | mega | M | /‘meg?/ |
109 | giga | G | /‘g?g?/ |
1012 | tera | T | /‘ter?/ |
1015 | peta | P | /‘pet?/ |
1018 | exa | E | /‘eks?/ |
1021 | zetta | Z | /‘zet?/ |
1024 | yotta | Y | /‘j?t?/ |
1027 | xona | X | /‘z??n?/ |
1030 | weka | W | /‘wek?/ |
1033 | vunda | V | /‘v?nd?/ |
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Cardinal Numbers
1 | one | /w?n/ |
2 | two | /tu:/ |
3 | three | /θri:/ |
4 | four | /f??/ |
5 | five | /fa?v/ |
6 | six | /s?ks/ |
7 | seven | /‘sev?n/ |
8 | eight | /e?t/ |
9 | nine | /na?n/ |
10 | ten | /ten/ |
11 | eleven | /?‘lev?n/ |
12 | twelve | /twelv/ |
13 | thirteen | /θ?:‘ti:n/ |
14 | fourteen | /f??‘ti:n/ |
15 | fifteen | /f?f‘ti:n/ |
16 | sixteen | /s?kst‘i:n/ |
17 | seventeen | /seven‘ti:n/ |
18 | eighteen | /e?‘ti:n/ |
19 | nineteen | /na?n‘ti:n/ |
20 | twenty | /‘twent?/ |
21 | twenty-one | /twent?‘w?n/ |
22 | twenty-two | /twent?‘tu:/ |
23 | twenty-three | /twent?‘θri:/ |
24 | twenty-four | /twent?‘f??/ |
25 | twenty-five | /twent?‘fa?v/ |
26 | twenty-six | /twent?‘s?ks/ |
27 | twenty-seven | /twent?‘sev?n/ |
28 | twenty-eight | /twent?‘e?t/ |
29 | twenty-nine | /twent?‘na?n/ |
30 | thirty | /‘θ?:t?/ |
40 | forty | /‘f??t?/ |
50 | fifty | /‘f?ft?/ |
60 | sixty | /‘s?kst?/ |
70 | seventy | /‘sev?nt?/ |
80 | eighty | /‘e?t?/ |
90 | ninety | /‘na?nt?/ |
100 | a hundred; one hundred | /? ‘h?ndr?d/ /w?n ‘h?ndr?d/ |
101 | a hundred and one | /? ‘h?ndr?d ?n w?n/ |
102 | a hundred and two | /? ‘h?ndr?d ?n tu:/ |
110 | a hundred and ten | /? ‘h?ndr?d ?n ten/ |
120 | a hundred and twenty | /? ‘h?ndr?d ?n ‘twent?/ |
200 | two hundred | /tu: ‘h?ndr?d/ |
300 | three hundred | /θri: ‘h?ndr?d/ |
400 | four hundred | /f?? ‘h?ndr?d/ |
500 | five hundred | /fa?v ‘h?ndr?d/ |
600 | six hundred | /s?ks ‘h?ndr?d/ |
700 | seven hundred | /‘sev?n ‘h?ndr?d/ |
800 | eight hundred | /e?t ‘h?ndr?d/ |
900 | nine hundred | /na?n ‘h?ndr?d/ |
1 000 | a thousand, one thousand | /? θ‘ɑ?z?nd/ /w?n ‘θɑ?z?nd/ |
1 001 | a thousand and one | /? ‘θɑ?z?nd ?n w?n/ |
1 010 | a thousand and ten | /? ‘θɑ?z?nd ?n ten/ |
1 020 | a thousand and twenty | /? ‘θɑ?z?nd ?n ‘twent?/ |
1 100 | one thousand, one hunded | /w?n ‘θɑ?z?nd w?n ‘h?ndr?d/ |
1 101 | one thousand, one hundred and one | /w?n ‘θɑ?z?nd w?n ‘h?ndr?d ?n w?n/ |
1 110 | one thousand, one hundred and ten | /w?n ‘θɑ?z?nd w?n ‘h?ndr?d ?n ten/ |
9 999 | nine thousand, nine hundred and ninety-nine | /na?n ‘θɑ?z?nd na?n ‘h?ndr?d ?n ‘na?nt? ‘na?n/ |
10 000 | ten thousand | /ten ‘θɑ?z?nd/ |
15 356 | fifteen thousand, three hundred and fifty six | /‘f?fti:n ‘θɑ?z?nd θri: ‘h?ndr?d ?n ‘f?ft? s?ks/ |
100 000 | a hundred thousand | /? ‘h?ndr?d ‘θɑ?z?nd/ |
1 000 000 | a million | /? ‘m?lj?n/ |
100 000 000 | a hundred million | /? ‘h?ndr?d ‘m?lj?n/ |
1 000 000 000 | a billion | /? ‘b?lj?n/ |
100 000 000 000 | a hundred billion | /? ‘h?ndr?d ‘b?lj?n/ |
1 000 000 000 000 | a trillion | /? ‘tr?lj?n/ |
1 000 000 000 000 000 | a quadrillion | /? kw?dr?lj?n/ |
1 000 000 000 000 000 000 | a quintillian | /? kw?n‘t?lj?n/ |
1 000 000 000 000 000 000 000 | a sextillion | /? seks‘t?lj?n/ |
1 000 000 000 000 000 000 000 000 | a septillion | /? sep‘t?lj?n/ |
1 000 000 000 000 000 000 000 000 000 | an ocillion | /?n ?kt‘t?lj?n/ |
1 000 000 000 000 000 000 000 000 000 000 | a nonillion | /? n?n‘?lj?n/ |
1 000 000 000 000 000 000 000 000 000 000 000 | a decillion | /? de‘s?lj?n/ |
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Ordinal Numbers
1st | first | /f?:st/ |
2nd | second | /‘sek?nd/ |
3rd | third | /θ?:d/ |
4th | fourth | /f?:θ/ |
5th | fifth | /f?fθ/ |
6th | sixth | /s?ksθ/ |
7th | seventh | /‘sev?nθ/ |
8th | eighth | /e?tθ/ |
9th | ninth | /na?nθ/ |
10th | tenth | /tenθ/ |
11th | eleventh | /?‘lev?nθ/ |
12th | twelfth | /‘twelfθ/ |
13th | thirteenth | /θ?:‘ti:nθ/ |
14th | fourtheenth | /f??‘ti:nθ/ |
15th | fidteenth | /f?f‘ti:nθ/ |
16th | sixteenth | /s?ks‘ti:nθ/ |
17th | seventeenth | /seven‘ti:nθ/ |
18th | eighteenth | /e?‘ti:nθ/ |
19th | nineteenth | /na?n‘ti:nθ/ |
20th | twentieth | /‘twent??θ/ |
21st | twenty-first | /twent?‘f?:st/ |
22nd | twenty-second | /twent?‘sek?nd/ |
23rd | twenty-third | /twent?‘θ?:d/ |
24th | twenty-fourth | /twent?‘f?:θ/ |
25th | twenty-fifth | /twent?‘f?fθ/ |
26th | twenty-sixth | /twent?‘s?ksθ/ |
27th | twenty-seventh | /twent?‘sev?nθ/ |
28th | twenty-eighth | /twent?‘e?tθ/ |
29th | twenty-ninth | /twent?‘na?nθ/ |
30th | thirtieth | /‘θ??t??θ/ |
31st | thirty-first | /θ??t?‘f?:st/ |
40th | fortieth | /‘f?:t??θ/ |
50th | fiftieth | /‘f?ft??θ/ |
100th | hundredth | /‘h?ndr?dθ/ |
1 000th | thousandth | /‘θɑ?z?ndθ/ |
1 000 000th | millionth | /‘m?lj?nθ/ |