首页 >
数学符号的英文读法--免费
数学符号的英文读法--免费
2012-06-01 20页 pdf 539KB 34阅读
is_829858
暂无简介
举报
数学符号的英文读法--免费
ÔnÆÚEâ¥~^êÆÎÒ Version 3.141
Colin Haginile
The High School Affiliated to Fudan University
2005c 11ff 18F
Á
fl©�Ñ
ÔnÆ!ó§EâÚk'ff�Æ¥~^ffêÆÎÒ¶Lu;ffêÆÎÒ�\"
fl©UìI[IO GB 3102.11òISIO ISO 31-11:19925þÚü 1Ü©µÔnÆÚEâ
¥¦^ffêÆI«ÎÒ6¡ [1]§ò�I[IO GB 789–655êÆÎÒ£Á1úY...
ÔnÆÚEâ¥~^êÆÎÒ Version 3.141
Colin Haginile
The High School Affiliated to Fudan University
2005c 11ff 18F
Á
fl©�Ñ
ÔnÆ!ó§EâÚk'ff�Æ¥~^ffêÆÎÒ¶Lu;ffêÆÎÒ�\"
fl©UìI[IO GB 3102.11òISIO ISO 31-11:19925þÚü 1Ü©µÔnÆÚEâ
¥¦^ffêÆI«ÎÒ6¡ [1]§ò�I[IO GB 789–655êÆÎÒ£Á1úY¤6¡ [2]"
1
8 ¹
1 ÎÒff¦^Ú/
parallelogram
2.1-7 � �
circle
2.1-8 ⊥ R
is perpendicular to
2.1-9 �, ‖ ²1
is parallel to =
‖
LuL«²1
�
2.1-10
V
q
is similar to
2.1-10
T
fi�
is congruent to
2.2 8ÜØÎÒ
Ò ÎÒ A^ ¿Â½Ö{ �59«~
2.2-1 ∈ x ∈ A
x áu A¶x ´8Ü A ff�
ÖØ
x belongs to A; x is an element
of the set A
8Ü A{¡8 A
2.2-2 /∈ y /∈ A
y Øáu A¶y Ø´8Ü A ff
�ÖØ
y does not belong to A; y is not
an element of the set A
^ ∈
2.2-3 3 A 3 x
8 A¹Ö�Øx
the set A contains x (as ele-
ment)
ISOÑ, A 3 x x ∈ A¿Â
Ó
2.2-4 63 A 63 y
8 AعÖ�Øy
the set A does not contain y (as
element)
^ 3
ISO Ñ, A 63 y y /∈ A ¿Â
Ó
2.2-5 {, . . . , } {x1, x2, . . . , xn}
Ã� x1, x2, x3, . . . , xn �¤ff
8
set with elements
x1, x2, . . . , xn
^ {xi : i ∈ I}, ùpff I L
«I8£a set of indices¤
2.2-6 { | } {x ∈ A | p(x) }
¦·K p(x) ýff A ¥Ã�
ÖØ8
set of those elements of A for
which the proposition p(x) is
true
~µ
{x ∈ R | x ≤ 5 }
XJlc�'X5w, 8 A ®é
²(, K¦^
{x | p(x) }5L«"
~Xµ{x | x ≤ 5 }
{x ∈ A | p(x) } k�
¤ {x ∈ A : p(x) } ½ {x ∈
A; p(x) }
Go on to the next page
4
Continued from previous page
Ò ÎÒ A^ ¿Â½Ö{ �59«~
2.2-7 card card(A)
A¥Ã�ffê8¶Aff³£½Ä
ê¤
number of elements in A; cardi-
nal of A
2.2-8 ∅
8
the empty set
2.2-9 N, N
K�ê8¶g,ê8
the set of positive integers and
zero; the set of natural numbers
N = {0, 1, 2, 3, . . .}
g 2.2-9 2.2-13 8SüØ 0 ff
8,AþI(Ò½eI+Ò,~X
N∗ ½ N+¶
Nk = {0, 1, . . . , k − 1}
2.2-10 Z, Z
�ê8
the set of integers
Z = {. . . ,−2,−1, 0, 1, 2, . . .}
ë 2.2-9�5
2.2-11 Q, Q
knê8
the set of rational numbers
ë 2.2-9�5
2.2-12 R, R
¢ê8
the set of real numbers
ë 2.2-9�5
2.2-13 C, C
Eê8
the set of complex numbers
ë 2.2-9�5
2.2-14 [ , ] [a, b]
R¥d a� bff4«m
closed interval in R from a (in-
cluded) to b (included)
[a, b] = {x ∈ R | a ≤ x ≤ b }
2.2-15
] , ]
( , ]
]a, b]
(a, b]
R¥d a� b£¹uS¤ffm
«m
left half-open interval in R from
a (excluded) to b (included)
]a, b] = {x ∈ R | a < x ≤ b }
2.2-16
[ , [
[ , )
[a, b[
[a, b)
R¥d a£¹uS¤� bffmm
«m
right half-open interval in R
from a (included) to b (ex-
cluded)
[a, b[= {x ∈ R | a ≤ x < b}
2.2-17
] , [
( , )
]a, b[
(a, b)
R¥d a� bffm«m
open interval in R from a (ex-
cluded) to b (excluded)
]a, b[= {x ∈ R | a < x < b}
2.2-18 ⊆ B ⊆ A
B ¹u A¶B ´ Afff8
B is included in A; B is subset
of A
B ffz�þáu A¶±^
⊂
2.2-19 $ B $ A
B ý¹u A¶B ´ Affýf8
B is properly included in A; B
is a proper subset of A
B ffz�þáu A, � B Ø�
u A
2.2-20 * C * A
C عu A¶C Ø´ Afff8
C is not included in A; C is not
a subset of A
^ 6⊂
ISOÑ, ÎÒ *Ú 6⊂¦^
2.2-21 ⊇ A ⊇ B A¹ BÖŁf8Ø
A includes B (as subset)
A¹
Bffz�,^⊃"
A ⊇ B ⊆ Aff¹ÂÓ
Go on to the next page
5
Continued from previous page
Ò ÎÒ A^ ¿Â½Ö{ �59«~
2.2-22 % A % B
Aý¹ B
A includes B properly
A¹
Bffz�, � A�
u B"
A % B B $ Aff¹ÂÓ
2.2-23 + A + C
Aع CÖŁf8Ø
A does not include C (as a sub-
set)
^ 6⊃"
A 6⊇ C C 6⊆ Aff¹ÂÓ"
2.2-24 ∪ A ∪B A B ff¿8
union of A and B
áuA½áuB½áuüöff¤
k�ff8"
A ∪B = {x | x ∈ A ∨ x ∈ B}
2.2-25
S
n
S
i=1
Ai
Ã8 A1, . . . , An ff¿8
union of a collection of sets
A1, . . . , An
n
S
i=1
Ai = A1∪A2∪· · ·∪An,�
áuÃ8A1, . . . , An ff¤k
�ff8"^
Sn
i=1
Ai!
S
i∈I
S
i∈I , Ù¥ I L«I8
2.2-26 ∩ A ∩B A B ff�8
intersection of A and B
¤kQáu A qáu B ff�ff
8"
A ∩B = {x | x ∈ A ∧ x ∈ B}
ë 2.3-1
2.2-27
T
n
T
i=1
Ai
Ã8 A1, . . . , An ff�8
intersection of a collection of
sets A1, . . . , An
n
T
i=1
Ai = A1∩A2∩· · ·∩An,�
áuÃ8A1, . . . , An ff¤k
�ff8"^
Tn
i=1
Ai!
T
i∈I
T
i∈I , Ù¥ I L«I8
2.2-28 \ A \B
A B �¶A~ B
difference of A and B; A minus
B
¤káu A �Øáu B ff�ff
8"
A \B = {x | x ∈ A ∧ x /∈ B}
Ø^ A−B
2.2-29 { {AB
A¥f8 B ffÖ8½{8
complement of subset B of A
A ¥Øáuf8 B ff¤k�ff
8"
{AB = {x | x ∈ A ∧ x /∈ B}
XJ1©¥8 A ®é²(, K~
�ÎÒ A"
�¤ {AB = A \B
2.2-30 ( , ) (a, b)
kSó a!b¶ó a!b
ordered pair a, b; couple a, b
(a, b) = (c, d)�
=� a = cÚ
b = d
ØÙ¦ÎÒ· , ^
〈a, b〉
2.2-31 (, . . . , ) (a1, a2, . . . , an)
kS n�|
ordered n-tuplet
^ 〈a1, a2, . . . , an〉
2.2-32 × A×B A B ff(k�È
cartesian product of A and B
¤kd a ∈ A b ∈ B Ł¤ffk
Só (a, b)ff8"
A×B = {(a, b) | a ∈ A∧ b ∈ B}
A × A × · · · × A P¤ An, Ù¥
n¦È¥ffÏfê£number of
factors¤
Go on to the next page
6
Continued from previous page
Ò ÎÒ A^ ¿Â½Ö{ �59«~
2.2-33 ∆ ∆A
A × A ¥:é (x, x) ff8, Ù¥
x ∈ A¶A×Affé�8
set of pairs (x, x) of A×A, where
x ∈ A;
diagonal of the set A×A
∆A = {(x, x) | x ∈ A}
^ idA
2.3 ênÜ6ÎÒ
Ò ÎÒ A^ ÎÒ¶¡ ¿Â!Ö{9�5
2.3-1 ∧ p ∧ q Ü�ÎÒ
conjunction sign
pÚ q
2.3-2 ∨ p ∨ q Û�ÎÒ
disjunction sign
p½ q
2.3-3 ¬ ¬p
ĽÎÒ
negation sign
p ffĽ¶Ø´ p¶ p
2.3-4 ⇒ p⇒ q íäÎÒ
implication sign
e pK q¶p%¹ q
� q ⇐ p
k^→
2.3-5 ⇔ p⇔ q �dÎÒ
equivalence sign
p⇒ q
q ⇐ p¶p�du q
k^↔
2.3-6 ∀ ∀x ∈ A p(x) fi¡þc
universal quantifier
·K p(x)éuzáuAff x
ý"
�Äff8Ü Alþe©wé²
x, ^PÒ ∀x p(x)
2.3-7 ∃ ∃x ∈ A p(x) 3þc
existential quantifier
3 A¥ff� x¦ p(x)ý"
�Äff8Ü Alþe©wé²
x, ^PÒ ∃x p(x)"
∃!½ 1∃^5L«3
k
�¦ p(x)ý
2.4 ,aÎÒ
Ò ÎÒ A^ ¿Â½Ö{ �59«~
2.4-1 = a = b
a�u b
a is equal to b
≡^5rNù�ª´êÆþff
ð�ÖªØ
2.4-2 6= a 6= b a�u b
a is not equal to b
2.4-3 def= a
def
= b
U½Â a�u b½ a± b½Â
a is definition equal to b
~µp
def
= mv, ª¥ p Äþ, m
þ, vÝ
^
d
=
2.4-4
∧
= a
∧
= b
a�u b
a corresponds to b
~X3/ãþ� 1 cm �u
10 km , �Ł 1 cm
∧
=
10 km
2.4-5 ≈ a ≈ b a��u b
a is approximately equal to b
ÎÒ ' �^u/ìC�u0¶ë
2.6-11
ØA¦^ a
.
= b½ a ∼ b
Go on to the next page
7
Continued from previous page
Ò ÎÒ A^ ¿Â½Ö{ �59«~
2.4-6 ∝ a ∝ b a b¤�'
a is proportional to b
2.4-7 : a : b
a' b
ratio of a to b
2.4-8 < a < b
a�u b
a is less than b
2.4-9 > a > b
au b
a is greater than b
2.4-10 6 a 6 b
a�u½�u b
a is less than or equal to b
Ø^ 5
2.4-11 > b > a
bu½�u a
b is greater than or equal to a
Ø^ =
2.4-12 � a� b a��u b
a is much less than b
2.4-13 � b� a b�u a
b is much greater than a
2.4-14 ∞ áÖؽÃÖØ
infinity
2.4-15 ∼ a ∼ b êi
the range of numbers
ùpff a Ú b ØÓff¢ê, ~
X 5 ∼ 10L«d 5 10"
2.4-16 . 13.59
�ê:
decimal point
�êÚ�êm^?ue
ff�ê:/.0©m"
2.4-17 ˙ ˙ 3.123˙ 82˙
Ì�ê
circulator
=µ3.123 823 82 · · ·
2.4-18 % 5% ∼ 10% z©Ç
percent
∼cff%ØAÑ
2.4-19 ( )
�)Ò
parentheses
2.4-20 [ ]
)Ò
square brackets
2.4-21 { } s)Ò
braces
2.4-22 〈 〉 �)Ò
angle brackets
2.4-23 ± �½K
positive or negative
2.4-24 ∓ K½�
negative or positive
2.4-25 max
maximum
2.4-26 min
�
minimum
8
2.5 $ÎÒ
Ò ÎÒ!A^ ¿Â½Ö{ �59«~
2.5-1 a+ b
a\ b
a plus b
2.5-2 a− b a~ b
a minus b
2.5-3 a± b a\~ b
a plus or minus b
2.5-4 a∓ b a~\ b
a minus or plus b
2.5-5 ab, a · b, a× b a¦± b
a multiplied by b
ë 2.2-32, 2.12-69 2.12-7"
êff¦Ò^�£×¤½þeØ¥ff�
:£·¤"XÑy�ê:ÎÒ, êff
¦U^�"
2.5-6
a
b
, a/b, ab−1
aر b½ a� bØ
a divided by b
2.5-7
n
P
i=1
ai a1 + a2 + · · ·+ an
P
Pn
i=1
ai,
P
i
ai,
P
i
ai,
P
ai
∞
P
i=1
ai = a1 + a2 + · · ·+ an + · · ·
2.5-8
n
Q
i=1
ai a1 · a2 · · · · · an
P
Qn
i=1
ai,
Q
i
ai,
Q
i
ai,
Q
ai
∞
Q
i=1
ai = a1 · a2 · · · · · an · · · ·
2.5-9 ap
aff pg½ aff pg
a to the power p
2.5-10 a1/2, a
1
2 ,
√
a,
√
a
aff�©g¶aff²Ł
a to the power 1/2; square root of
a
ë 2.5-11
2.5-11 a1/n, a
1
n , n
√
a, n
√
a
aff n©g¶aff ngŁ
a to the power 1/n; nth root of a
3¦^ÎÒ
√
½
n
√
,
;·
, Aæ^)Òr�mffE,ª)
å5
2.5-12 |a|
affý飶afffi
absolute value of a; magnitude of a;
modulus of a
^ abs a
2.5-13 sgn a
affÎÒ¼ê
signum a
éu¢ê aµ
sgn a =
8
>
<
>
:
1 � a > 0
0 � a = 0
−1 � a < 0
éuEê, ë 2.9-7
2.5-14 a¯, 〈a〉 aff²þŁ
mean value of a
XJ²þŁff¦{3©¥Ø²
, K
AÑÙ/¤ff{"XJ a¯N´
affE�Ý·ô, Ò^ 〈a〉
2.5-15 n!
nffffi¦
factorial n
n ≥ 1, n! =
n
Q
k=1
k = 1 × 2 × 3 ×
· · · × n
n = 0, n! = 1
Go on to the next page
9
Continued from previous page
Ò ÎÒ!A^ ¿Â½Ö{ �59«~
2.5-16
�
n
p
�
, Cpn
�ªXê¶|Üê
binomial coefficient n, p
�
n
p
�
=
n!
p!(n− p)!
2.5-17 ent a, E(a)
�u½�u aff�궫5 a
the greatest integer less than or
equal to a; characteristic of a
~µent 2.4 = 2, ent(−2.4) = −3
k^ [a]
2.6 ¼êÎÒ
Ò ÎÒ!A^ ¿Â½Ö{ �59«~
2.6-1 f
¼ê f
function f
±L« x 7→ f(x)
2.6-2 f(x), f(x, y, . . .)
¼ê f ©O3 x½3 (x, y, . . .)ffŁ
value of the function f at x or at
(x, y, . . .) respectively
L«± x, y, . . .gCþff¼ê f
2.6-3 f(x)|ba, [f(x)]ba f(b)− f(a) ù«L«{Ì^u½È©O
2.6-4 g ◦ f
f gffܤ¼ê½Eܼê
the composite function of f and g,
read as g circle f
(g ◦ f)(x) = g
f(x)
Ł
2.6-5 x→ a xªu a
x tends to a
^ xn → aL«S� {xn}ff4
a
2.6-6
lim
x→a
f(x)
limx→a f(x)
xªu a f(x)ff4
limit of f(x) as x tends to a
limx→a f(x) = b±{�µ
f(x)→ b � x→ a
m494©OL«µ
limx→a+ f(x)Ú limx→a− f(x)
2.6-7 lim
þ4
superior limit
2.6-8 lim
e4
inferior limit
2.6-9 sup
þ(.
supremum
2.6-10 inf
e(.
infimum
2.6-11 ' ìC�u
is asymptotically equal to
~µ
1
sin(x− a) '
1
x− 1 � x→ a
2.6-12 O(g(x))
f(x) = O(g(x))ff¹Â
|f(x)/g(x)| 31©¤ãff4¥k
þ.
|f(x)/g(x)| is bounded above in the
limit implied by the context; f is of
the order of g
� f/g g/f Ñk., ¡ f g´
Óffiff
2.6-13 o(g(x))
f(x) = o(g(x))L«31©¤ãff4
¥ f(x)/g(x)→ 0
f(x)/g(x) → 0 in the limit implied
by the context; f is of lower order
than g
Go on to the next page
10
Continued from previous page
Ò ÎÒ!A^ ¿Â½Ö{ �59«~
2.6-14 ∆x
xffÖkØOþ
(finite) increment of x
2.6-15
df
dx
, df/dx, f ′
üCþ¼ê f ff�Ö¼Øê½û
derivative of the function f of one
variable
^ Df"
=µ
df(x)
dx
, df(x)/dx, f ′(x), Df(x)
XgCþm t, ^ f L«
df/dt
2.6-16
�
df
dx
�
x=a
(df/dx)x=a
f ′(a)
¼ê f ff�Ö¼Øê3 affŁ
value at a of the derivative of the
function f
^
df
dx
�
�
�
x=a
½ Df(a)
2.6-17
dnf
dxn
dnf/dxn
f (n)
üCþ¼ê f ff nffi�¼ê
nth derivative of the function f of
one variable
^ Dnf"
� n = 2, 3, ^ f ′′!f ′′′ 5
O f (n)"XgCþ´m t,^ f 5
O
d2f
dt2
2.6-18
∂f
∂x
, ∂f/∂x, ∂xf
õCþ x, y . . .ff¼ê f éu xff
û½ �ê
partial derivative of the function f
of several variables x, y, . . . with re-
spect to x
=µ
∂f(x, y, . . .)
∂x
, ∂f(x, y, . . .)/∂x,
∂xf(x, y, . . .)"
^ fx ½
�
∂f
∂x
�
y···
Dx =
1
i
∂x ~^u FourierC
2.6-19
∂m+nf
∂xn∂ym
¼ê f ké y¦mg û, 2é x
¦ ng û¶·Ü �ê
nth partial derivative of the func-
tion ∂nf/∂ym of several variables
x, y, . . . with respect to x; mixed
partial derivative
2.6-20
∂(u, v, w)
∂(x, y, z)
u, v, wé x, y, z ff¼ê1�ª
Jacobian; functional determinant of
the functions u, v, w with respect to
x, y, z
=µ
�
�
�
�
�
�
�
∂u
∂x
∂u
∂y
∂u
∂z
∂v
∂x
∂v
∂y
∂v
∂z
∂w
∂x
∂w
∂y
∂w
∂z
�
�
�
�
�
�
�
2.6-21 df
¼ê f fffi©
total differential of the function y
df(x, y, . . .) =
∂f
∂x
dx+
∂f
∂y
dy + · · ·
2.6-22 δf
¼ê f ff£Ã¡�¤C©
(infinitesimal) variation of the func-
tion f
2.6-23
Z
f(x) dx
¼ê f ffؽȩ
an indefinite integral of the function
f
2.6-24
b
Z
a
f(x) dx
Z b
a
f(x) dx
¼ê f d a bff½È©
definite integral of the function f
from a to b
Go on to the next page
11
Continued from previous page
Ò ÎÒ!A^ ¿Â½Ö{ �59«~
2.6-25
ZZ
A
f(x, y) dA
¼ê f(x, y)38Ü Aþff�È©
the double integral of function
f(x, y) over set A
R
C
,
R
S
,
R
V
,
H
©O^u÷C,÷
¡ S, ÷NÈ V ±9÷4½4
¡ffÈ©
2.6-26 δik
ÛS δÎÒ
Kronecker delta symbol
δik =
¨
1 � i = k
0 � i 6= k ª¥ i k þ
�ê
2.6-27 εijk
V-ê©ÎÒ
Levi-Civita symbol
ε =
(
1 X ijk 1, 2, 3ffóü�
−1 X ijk 1, 2, 3ffÛü�
0 X ijk 1, 2, 3ffýEü�
2.6-28 δ(x) ). δ©ÙÖ¼êØ
+∞
Z
−∞
f(x) δ(x) dx = f(0)
2.6-29 ε(x)
ü ffi�¼ê¶°m¼ê
unit step function; Heaviside func-
tion
ε(x) =
¨
1 � x > 0
0 � x < 0
^ H(x)
ϑ(t)^umffü ffi�¼ê
2.6-30 f ∗ g f gffòÈ
convolution of f and g
(f ∗ g)(x) =
+∞
Z
−∞
f(y) g(x− y) dy
2.7 ê¼êÚéê¼êÎÒ
Ò ÎÒ!Lª ¿Â½Ö{ �59«~
2.7-1 ax
Ö± a.ffØxffê¼ê
exponential function (to the base a)
of x
'� 2.5-9
2.7-2 e
g,éêff.
base of natural logarithms
e = lim
n→∞
�
1 +
1
n
�n
=
2.718 281 8 · · ·
2.7-3 ex, expx
Ö± e.ffØxffê¼ê
exponential function (to the base e)
of x
Ó|Ü¥, ^Ù¥«ÎÒ
2.7-4 loga x
± a.ff xfféê
logarithm to the base a of x
�.êØ7Ñ, ~^ log xL«
2.7-5 lnx
lnx = loge x
xffg,éê
natural logarithm of x
log xØU^5O lnx, lg x, lbx½
loge x, log10 x, log2 x
2.7-6 lg x
lg x = log10 x
xff~^éê
common (decimal) logarithm of x
2.7-7 lbx
lbx = log2 x
xff± 2.fféê
binary logarithm of x
2.8 n�¼êÚV¼êÎÒ
Ò ÎÒ!Lª ¿Â½Ö{ �59«~
Go on to the next page
12
Continued from previous page
Ò ÎÒ!Lª ¿Â½Ö{ �59«~
2.8-1 sinx
xff�u
sine of x
2.8-2 cosx
xff{u
cosine of x
2.8-3 tanx
xff�
tangent of x
^ tgx
2.8-4 cotx
xff{
cotangent of x
cotx = 1/ tanx
2.8-5 secx
xff�
secant of x
secx = 1/ cosx
2.8-6 cscx
xff{
cosecant of x
^ cosecx
cscx = 1/ sinx
2.8-7 sinm x
sinxffmg
sinx to the power m
Ù¦n�¼êÚV¼êff m g
ffL«{aq
2.8-8 arcsinx
xff�u
arc sin of x
y = arcsinx⇔
x = sin y,−pi/2 ≤ y ≤ pi/2
�u¼ê´�u¼ê3þãe
ff¼ê"
ë 2.8-13�5"
2.8-9 arccosx
xff{u
arc cosine of x
y = arccosx ⇔ x = cos y, 0 ≤ y ≤
pi/2
{u¼ê´{u¼ê3þãe
ff¼ê"
ë 2.8-13�5"
2.8-10 arctanx
xff�
arc tangent of x
^ arctgx
y = arctanx⇔
x = tan y,−pi/2 < y < pi/2
�¼ê´�¼ê3þãe
ff¼ê"
ë 2.8-13�5"
2.8-11 arccotx
xff{
arc cotangent of x
y = arccotx ⇔ x = cot y, 0 < y <
pi
{¼ê´{¼ê3þãe
ff¼ê"
ë 2.8-13�5"
2.8-12 arcsecx
xff�
arc secant of x
y = arcsecx⇔ x = sec y, 0 ≤ y ≤ pi
�¼ê´�¼ê3þãe
ff¼ê"
ë 2.8-13�5"
Go on to the next page
13
Continued from previous page
Ò ÎÒ!Lª ¿Â½Ö{ �59«~
2.8-13 arccsex
xff{
arc cosecant of x
^ arccosecx
y = arccscx⇔
x = csc y,−pi/2 ≤ y ≤ pi/2
{¼ê´{¼ê3þãe
ff¼ê"
éu 2.8-8 ∼ 2.8-13 ØAæ^
sin−1 x, cos−1 x�ÎÒ, ÏU¬
�Ø) (sinx)−1, (cosx)−1 �"
2.8-14 sinhx
xffV�u
hyperbolic sine of x
^ shx
2.8-15 coshx
xffV{u
hyperbolic cosine of x
^ chx
2.8-16 tanhx
xffV�
hyperbolic tangent of x
^ thx
2.8-17 cothx
xffV{
hyperbolic cotangent of x
cothx = 1/ tanhx
2.8-18 sechx
xffV�
hyperbolic secant of x
sechx = 1/ coshx
2.8-19 cschx
xffV{
hyperbolic cosecant of x
^ cosechx
cschx = 1/ sinhx
2.8-20 arsinhx
xffV�u
inverse hyperbolic sine of x
^ arshx£U ISO, ¦^
argshx"
y = arsinhx⇔ x = sinh y
V�u¼ê´V�u¼êff
¼ê
ë 2.8-25�5
2.8-21 arcoshx
xffV{u
inverse hyperbolic cosine of x
^ archx£U ISO, ¦^
argchx"
y = arcoshx⇔ x = cosh y, y ≥ 0
V{u¼ê´V{u¼êff
¼ê
ë 2.8-25�5
2.8-22 artanhx
xffV�
inverse hyperbolic tangent of x
^ arthx£U ISO, ¦^
argthx"
y = artanhx⇔ x = tanh y
V�¼ê´V�¼êff
¼ê
ë 2.8-25�5
2.8-23 arcothx
xffV{
inverse hyperbolic cotangent of x
^ arcothx£U ISO, ¦^
argcothx"
y = arcothx⇔ x = coth y, y 6= 0
V{¼ê´V{¼êff
¼ê
ë 2.8-25�5
Go on to the next page
14
Continued from previous page
Ò ÎÒ!Lª ¿Â½Ö{ �59«~
2.8-24 arsechx
xffV�
inverse hyperbolic secant of x
y = arsechx⇔ x = sech y, y ≥ 0
V�¼ê´V�¼êff
¼ê
ë 2.8-25�5
2.8-25 arcschx
xffV{
inverse hyperbolic cosecant of x
^ arcosechx"
y = arcschx⇔ x = csch y, y 6= 0
V{¼ê´V{¼êff
¼ê
éu 2.8-20 ∼ 2.8-25 ff,
ØAæ^ sinh−1 x, cosh−1 x �Î
Ò, ÏU¬�Ø) (sinhx)−1,
(coshx)−1 �
2.9 EêÎÒ
Ò ÎÒ!Lª ¿Â½Ö{ �59«~
2.9-1 i, j
Jêü i2 = −1
imaginary unit
3>óEâ¥~^ j
2.9-2 Re z
z ff¢ê
real part of z
2.9-3 Im z
z ffJÜ
imaginary part of z
z = x+ iy
Ù¥ x = Re z, y = Im z
2.9-4 |z| z ffý飶z fffi
absolute value of z; modulus of z
^mod z
2.9-5 arg z
z ffË�¶z ff
argument of z; phase of z
z = reiϕ
Ù¥ r = |z|, ϕ = arg z, = Re z =
r cos z, Im z = r sinϕ
2.9-6 z∗
z ffÖEØ�Ý
(complex) conjugate of z
k^ z¯ O z∗
2.9-7 sgn z
z ffü fi¼ê
signum z
� z 6= 0 , sgn z = z/ |z| =
exp(i arg z)¶� z = 0, sgn z = 0
2.10 Ý
ÎÒ
Ò ÎÒ!Lª ¿Â½Ö{ �59«~
2.10-1
A
A11 · · · A1n
.
.
.
.
.
.
Am1 · · · Amn
m× n.ffÝ
A
matrix A of type m by n
^ A = (Aij), Aij ´Ý
Aff
�¶m1ê, n�ê"�m = n
, A¡Ö�Ø
"Ý
�^�
�i1L«"
^)ÒOÝ
L«¥ff�)
Ò
2.10-2 AB
Ý
AB ffÈ
product of matrices A and B
(AB)ik =
P
j
AijBjk
ª¥Aff�ê7L�uB ff1ê
2.10-3 E, I
ü Ý
unit matrix
ff� Eik = δik, ë 2.6-26
Go on to the next page
15
Continued from previous page
Ò ÎÒ!Lª ¿Â½Ö{ �59«~
2.10-4 A−1
Aff_
inverse of the square matrix A
AA−1 = A−1A = E
2.10-5 AT, A˜
Aff=Ý
transpose matrix of A
�
AT
�
ik
= Aki
^ A′
2.10-6 A∗
AffE�ÝÝ
complex conjugate matrix of A
(A∗ik) = (Aik)
∗ = A∗ik
3êÆ¥~^ A¯
2.10-7 AH, A†
Aff�A�ÝÝ
Hermitian conjugate matrix of A
(AH)ik = (Aki)
∗ = A∗ki
3êÆ¥~^A∗
2.10-8
detA
�
�
�
�
�
�
/
本文档为【数学符号的英文读法--免费】，请使用软件OFFICE或WPS软件打开。作品中的文字与图均可以修改和编辑，
图片更改请在作品中右键图片并更换，文字修改请直接点击文字进行修改，也可以新增和删除文档中的内容。
[版权声明] 本站所有资料为用户分享产生，若发现您的权利被侵害，请联系客服邮件isharekefu@iask.cn，我们尽快处理。
本作品所展示的图片、画像、字体、音乐的版权可能需版权方额外授权，请谨慎使用。
网站提供的党政主题相关内容(国旗、国徽、党徽..)目的在于配合国家政策宣传，仅限个人学习分享使用，禁止用于任何广告和商用目的。
相关资料
- 医用数字胶片打印机操作手册
- 公司司机接待礼仪
- 透析用水的质量控制及透析机的常维护
- 大型船闸人字闸门设计说明
- 幼儿园食物中毒应急预案
- 最新鼻肠管置管及护理 (2)精品课件
- 幼儿园卫生保健相关参考表格汇总
- 招标投标格式文本五
- 办公区域桌面定置图
- 派派怎么举报封号举报封号的方法介绍
- Brunnstrom分级、ashworth,vas
- 律师事务所业务卷宗管理办法正式版
- 川教版5年级上册英语单词
- 过敏性紫癜病例讨论
- 五年级上册小数简便运算100题练习
- 皮带秤使用说明书
- 一级安全评价师考试真题
- 影响固体物质燃烧速度与剧烈程度的因素
- 从现有民族分布看我国穆斯林聚居区——以甘肃省广河县为例
- 人教版初中数学课本pdf
热门搜索
- 2023届四川省简阳中学物理八下期中达标检测试题含解析
- 《肾综合征出血热》PPT课件
- 拓展心得体会——毕业墙拓展训练心得
- 食品贸易公司规章制度
- 晋商大院特色
- 陕西省横山县宗教行政执法文书.处罚告知书
- 高一英语必修一u2单词学案附答案
- 常用7种不锈钢型号的意思
- 澳大利亚昆士兰大学教学情况初探
- 中图分类号
- 义务教育优质均衡发展县创建工作动员会主持词
- 晋江地名介绍[整理]
- 强险情况说明
- 建筑智能化专业申报说明
- 2023届四川省简阳中学物理八下期中达标检测试题含解析
- 《肾综合征出血热》PPT课件
- 拓展心得体会——毕业墙拓展训练心得
- 食品贸易公司规章制度
- 晋商大院特色
- 陕西省横山县宗教行政执法文书.处罚告知书
- 高一英语必修一u2单词学案附答案
- 常用7种不锈钢型号的意思
- 澳大利亚昆士兰大学教学情况初探
- 中图分类号
- 义务教育优质均衡发展县创建工作动员会主持词
- 晋江地名介绍[整理]
- 强险情况说明
- 建筑智能化专业申报说明
你可能还喜欢
浙公网安备 33021202002483