renzimu

转载自:数学的美学世界-人人小站

Symbols 

+ plus /\'plʌs/
- minus /\'maɪnəs/
± plus or minus /\'plʌs  ɔ:  \'maɪnəs/
x multiplied by /\'mʌltɪplaɪd baɪ/
/ over; divided by /\'əʊvə/ /dɪ\'vaɪdəd/
÷ divided /dɪ\'vaɪdəd/
= equals /\'ɪ:kwəlz/
approximately, similar /ə\'prɒksɪmətlɪ/ /\'sɪmɪlə tʊ/
equivalent to; identical /ɪk\'wɪvələnt tʊ/ /aɪ\'dentɪkl tʊ/
≠  not equal to /\'nɒt \'iːkwəl tʊ/
greater than /\'greɪtə ðən/
less than /\'les ðən/
≥  greater than or equal to /\'greɪtə ðən ər \'iːkwəl tʊ/
≤  less than or equal to /\'les ðən ər\' iːkwəl tʊ/
not greater than /\'nɒt \'greɪtə ðən/
not less than /\'nɒt \'les ðən/
much greater than /\'mʌʧ \'greɪtə ðən/
much less than /\'mʌʧ \'les ðən/
perpendicular to /pɜːpən\'dɪkjʊlə tʊ/
∣∣ parallel to /\'pærəlel tʊ/
not equivalent to, not identical to /\'nɒt ɪk\'wɪvələnt tʊ/ /\'nɒt aɪ\'dentɪkl tʊ/
≄≉ not similar to /\'nɒt \'sɪmɪlə tʊ/
² squared /\'skweəd/
³ cubed /\'kju:bd/
4 to the fourth;  to the power four /tə ðə \'fɔːθ/ /te ðə \'pɑʊə fɔː/
n  to the n; to the nth; to the power n /tə ðɪ en; tə dɪ enθ; tə ðə pɑʊər en/
root; square root /ru:t/ /skweə ru:t/
cube root /kju:b ru:t/
fourth root  /fɔːθ ruːt/
! factorial /fæk\'tɔːrɪəl/
% percent /pə\'sent/
infinity /ɪn\'fɪnətɪ/
varies as; proportional to /\'vɛərɪz/  /prə\'pɔːʃənəl/
˙ dot /dɒt/
¨ double dot /dʌbl dɒt/
: is to, ratio of /reɪʃɪəʊ/
f(x) fx f; function /ef/ /\'fʌŋkʃən/
f\'(x) f dash; derivative  /dæʃ/ /dɪ\'rɪvətɪv/
f\'\'x f double-dash; second derivative /\'dʌbl dæʃ/ /\'sekənd dɪ\'rɪvətɪv/
f\'\'\'(x) f triple-dash; f treble-dash; third derivative /\'trɪpl dæʃ/ / trebl dæʃ/ /θɜ:d dɪ\'rɪvətɪv/
f(4) f four; fourth derivative  /fɔːθ dɪ\'rɪvətɪv/
partial derivative, delta /paːʃəl dɪ\'rɪvətɪv/ /deltə/
integral /\'ɪntɪgrəl/
sum /sʌm/
w.r.t. with respect to /wɪð \'rɪspekt/
log log  /lɒg/
log₂x log to the base 2 of x /lɒg tə ðə beɪs tu: əv eks/
therefore /\'ðɛəfɔː/
because /bɪ\'kɒz/
gives, leads to, approaches /gɪvz/ /li:dz tʊ/ /əprəʊʧəz/
/ per /pɜ:/
belongs to; a member of;  an element of /bɪ\'lɒŋz/ /\'membə/ /\'elɪmənt/
does not belong to; is not a member of; is not an element of /nɒt bɪ\'lɒŋ/ /nɒt ə \'membə/ /nɒt ən \'elɪmənt/
contained in;  a proper subset of /kən\'teɪnd ɪn/ /\'prɒpə \'sʌbset/
contained in; subset  /\'sʌbset/
intersection /\'ɪntəsekʃən/
union /\'juːnɪən/
for all /fə rɔ:l/
cos x cos x; cosine x /kɒz/
sin x sine x /saɪn/
tan x tangent x /tan/
cosec x cosec x /\'kəʊsek/
sinh x shine x /\'ʃaɪn/
cosh x cosh x /\'kɒʃ/
tanh x than x /θæn/
|x| mod x; modulus x /mɒd/ /\'mɒdjʊləs/
degrees Centigrade /dɪ\'gri:z \'sentɪgreɪd/
degrees Fahrenheit /dɪ\'gri:z \'færənhaɪt/
°K degrees Kelvin /dɪ\'gri:z \'kelvɪn/
0°K, –273.15 °C absolute zero /absəlu:t zi:rəʊ/
mm millimetre /\'mɪlɪmiːtə/
cm centimetre /\'sentɪmiːtə/
cc, cm³ cubic centimetre, centimetre cubed /\'kjuːbɪk \'sentɪmiːtə/ /\'sentɪmiːtə \'kju:bd/
m metre /\'miːtə/
km kilometre /kɪ\'lɒmɪtə/
mg milligram /\'mɪlɪgræm/
g gram /græm/
kg kilogram /\'kɪləgræm/
AC A.C. /eɪ si:/
DC D.C. /di: si:/ 

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
x squared
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 /\'ælfə/
Β β beta /\'bi:tə/
Γ γ gamma /\'gæmə/
Δ δ delta /\'deltə/
Ε ε epsilon /\'epsilən/
Ζ ζ zeta /\'ziːtə/
Η η eta /\'iːtə/
Θ θ theta /\'θiːtə/
Ι ι iota /aɪ\'əʊtə/
Κ κ kappa /\'kæpə/
Λ λ lamda /\'læmdə/
Μ μ mu /\'mjuː/
Ν ν nu /\'njuː/
Ξ ξ xi /\'ksaɪ/
Ο ο omicron /\'əʊmɪkrən/
Π π pi /\'paɪ/
Ρ ρς rho /\'rəʊ/
Σ σ sigma /\'sɪgmə/
Τ τ tau /\'tɑʊ/
Υ υ upsilon /\'jʊpsɪlən/
Φ φ phi /\'faɪ/
Χ χ chi /\'kaɪ/
Ψ ψ psi /\'psaɪ/
Ω ω omega /\'əʊmɪgə/


Roman alphabet 

A a /\'eɪ/
B b /\'biː/
C c /\'siː/
D d /\'diː/
E e /\'iː/
F f /\'ef/
G g /\'ʤiː/
H h /\'eɪʧ/
I i /\'aɪ/
J j /\'ʤeɪ/
K k /\'keɪ/
L l /\'el/
M m /\'em/
N n /\'en/
O o /\'əʊ/
P p /\'piː/
Q q /\'kjuː/
R r /\'ɑː/
S s /\'es/
T t /\'ti:/
U u /\'ju:/
V v /\'vi:/
W w /\'dʌbljuː/
X x /\'eks/
Y y /\'waɪ/
Z z /\'zed/


Fractions 

½ a half /ə \'hɑ:f/
¼ a quarter /ə \'kwɔːtə/
¾ three quarters /θriː \'kwɔːtəz/
a third /ə \'θɜ:d/
two thirds /tu: \'θɜ:dz/
a fifth /ə \'fɪfθ/
two fifths /tu: \'fɪfθs/
three fifths /θriː \'fɪfθs/
four fifths /fɔː \'fɪfθs/
a sixth /ə \'sɪksθ/
five sixths /faɪv \'sɪksθs/
an eighth /ən \'eɪtθ/
three eighths /θriː \'eɪtθs/
five eighths /faɪv \'eɪtθs/
seven eighths /sevən \'eɪtθs/


Decimal Fractions 

0.1 nought point one /nɔ:t pɔɪnt wʌn/
0.01 nought point oh one /nɔ:t pɔɪnt əʊ wʌn/
0.0001 nought point oh oh oh one /ten pɔɪnt əʊ əʊ əʊ wʌn/
1.1 one point one /wʌn pɔɪnt wʌn/
1.2 one point two /wʌn pɔɪnt tu:/
1.23 one point two three /wʌn pɔɪnt tu: θri:/
1.0123 one point oh one two three /wʌn pɔɪnt əʊ wʌn tu: θri:/
10.01 ten point oh one /ten pɔɪnt əʊ wʌn/
21.57 twenty-one point five seven /\'twentɪ wʌn pɔɪnt  faɪv \'sevən/
2.6666666666.... two point six recurring /tu: pɔɪnt  sɪks rɪ\'kɜ:rɪŋ/
2.612361236123... two point six one two three recurring /tu: pɔɪnt  sɪks wʌn tu: θri: rɪ\'kɜ:rɪŋ/
2.5 million two point five million /tu: pɔɪnt  faɪv \'mɪljən/


SI Units: Prefixes 

10-24 yocto y /\'jɒktəʊ/
10-21 zepto z /\'zeptəʊ/
10-18 atto a /\'atəʊ/
10-15 femto f /\'femtəʊ/
10-12 pico p /\'pi:kəʊ/
10-9 nano n /\'nanəʊ/
10-6 micro µ /\'maɪkrəʊ/
10-3 milli m /\'mɪlɪ/
10-2 centi c /\'sentɪ/
10-1 deci d /\'desɪ/
103 kilo k /\'kɪləʊ/
106 mega M /\'megə/
109 giga G /\'gɪgə/
1012 tera T /\'terə/
1015 peta P /\'petə/
1018 exa E /\'eksə/
1021 zetta Z /\'zetə/
1024 yotta Y /\'jɒtə/
1027 xona X /\'zəʊnə/
1030 weka W /\'wekə/
1033 vunda V /\'vʊndə/


Cardinal Numbers 

1 one /wʌn/
2 two /tu:/
3 three /θri:/
4 four /fɔː/
5 five /faɪv/
6 six /sɪks/
7 seven /\'sevən/
8 eight /eɪt/
9 nine /naɪn/
10 ten /ten/
11 eleven /ɪ\'levən/
12 twelve /twelv/
13 thirteen /θɜ:\'ti:n/
14 fourteen /fɔː\'ti:n/
15 fifteen /fɪf\'ti:n/
16 sixteen /sɪkst\'i:n/
17 seventeen /seven\'ti:n/
18 eighteen /eɪ\'ti:n/
19 nineteen /naɪn\'ti:n/
20 twenty /\'twentɪ/
21 twenty-one /twentɪ\'wʌn/
22 twenty-two /twentɪ\'tu:/
23 twenty-three /twentɪ\'θri:/
24 twenty-four /twentɪ\'fɔː/
25 twenty-five /twentɪ\'faɪv/
26 twenty-six /twentɪ\'sɪks/
27 twenty-seven /twentɪ\'sevən/
28 twenty-eight /twentɪ\'eɪt/
29 twenty-nine /twentɪ\'naɪn/
30 thirty /\'θɜ:tɪ/
40 forty /\'fɔːtɪ/
50 fifty /\'fɪftɪ/
60 sixty /\'sɪkstɪ/
70 seventy /\'sevəntɪ/
80 eighty /\'eɪtɪ/
90 ninety /\'naɪntɪ/
100 a hundred; one hundred /ə \'hʌndrəd/ /wʌn \'hʌndrəd/
101 a hundred and one /ə \'hʌndrəd ən wʌn/
102 a hundred and two /ə \'hʌndrəd ən tu:/
110 a hundred and ten /ə \'hʌndrəd ən ten/
120 a hundred and twenty /ə \'hʌndrəd ən \'twentɪ/
200 two hundred /tu: \'hʌndrəd/
300 three hundred /θri:  \'hʌndrəd/
400 four hundred /fɔː \'hʌndrəd/
500 five hundred /faɪv \'hʌndrəd/
600 six hundred /sɪks \'hʌndrəd/
700 seven hundred /\'sevən \'hʌndrəd/
800 eight hundred /eɪt \'hʌndrəd/
900 nine hundred /naɪn \'hʌndrəd/
1 000 a thousand, one thousand /ə θ\'ɑʊzənd/ /wʌn \'θɑʊzənd/
1 001 a thousand and one /ə \'θɑʊzənd ən wʌn/
1 010 a thousand and ten /ə \'θɑʊzənd ən ten/
1 020 a thousand and twenty /ə \'θɑʊzənd ən \'twentɪ/
1 100 one thousand, one hunded /wʌn \'θɑʊzənd wʌn \'hʌndrəd/
1 101 one thousand, one hundred and one /wʌn \'θɑʊzənd wʌn \'hʌndrəd ən wʌn/
1 110 one thousand, one hundred and ten /wʌn \'θɑʊzənd wʌn \'hʌndrəd ən ten/
9 999 nine thousand, nine hundred and ninety-nine /naɪn \'θɑʊzənd naɪn \'hʌndrəd ən \'naɪntɪ \'naɪn/
10 000 ten thousand /ten \'θɑʊzənd/
15 356 fifteen thousand, three hundred and fifty six /\'fɪfti:n \'θɑʊzənd θri: \'hʌndrəd ən \'fɪftɪ sɪks/
100 000 a hundred thousand /ə \'hʌndrəd \'θɑʊzənd/
1 000 000 a million /ə \'mɪljən/
100 000 000 a hundred million /ə \'hʌndrəd \'mɪljən/
1 000 000 000 a billion /ə \'bɪljən/
100 000 000 000 a hundred billion /ə \'hʌndrəd \'bɪljən/
1 000 000 000 000 a trillion /ə \'trɪljən/
1 000 000 000 000 000 a quadrillion /ə kwɒdrɪljən/
1 000 000 000 000 000 000 a quintillian /ə kwɪn\'tɪljən/
1 000 000 000 000 000 000 000 a sextillion /ə seks\'tɪljən/
1 000 000 000 000 000 000 000 000 a septillion /ə sep\'tɪljən/
1 000 000 000 000 000 000 000 000 000 an ocillion /ən ɒkt\'tɪljən/
1 000 000 000 000 000 000 000 000 000 000 a nonillion /ə nɒn\'ɪljən/
1 000 000 000 000 000 000 000 000 000 000 000 a decillion /ə de\'sɪljən/


Ordinal Numbers 

1st first /fɜ:st/
2nd second /\'sekənd/
3rd third /θɜ:d/
4th fourth /fɔ:θ/
5th fifth /fɪfθ/
6th sixth /sɪksθ/
7th seventh /\'sevənθ/
8th eighth /eɪtθ/
9th ninth /naɪnθ/
10th tenth /tenθ/
11th eleventh /ɪ\'levənθ/
12th twelfth /\'twelfθ/
13th thirteenth /θɜ:\'ti:nθ/
14th fourtheenth /fɔː\'ti:nθ/
15th fidteenth /fɪf\'ti:nθ/   
16th sixteenth /sɪks\'ti:nθ/
17th seventeenth /seven\'ti:nθ/
18th eighteenth /eɪ\'ti:nθ/
19th nineteenth /naɪn\'ti:nθ/
20th twentieth /\'twentɪəθ/
21st twenty-first /twentɪ\'fɜ:st/
22nd twenty-second /twentɪ\'sekənd/
23rd twenty-third /twentɪ\'θɜ:d/
24th twenty-fourth /twentɪ\'fɔ:θ/
25th twenty-fifth /twentɪ\'fɪfθ/
26th twenty-sixth /twentɪ\'sɪksθ/
27th twenty-seventh /twentɪ\'sevənθ/
28th twenty-eighth /twentɪ\'eɪtθ/
29th twenty-ninth /twentɪ\'naɪnθ/
30th thirtieth /\'θɜːtɪəθ/
31st thirty-first /θɜːtɪ\'fɜ:st/
40th fortieth /\'fɔ:tɪəθ/
50th fiftieth /\'fɪftɪəθ/
100th hundredth /\'hʌndrədθ/
1 000th thousandth /\'θɑʊzəndθ/
1 000 000th millionth /\'mɪljənθ/

 
 

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