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يوجد في هذا الكتاب مختصر لمعظم الرموز و العلامات المستعملة في الرياضيات بالغتين العربية و الانجليزية
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2
Alpha
Beta
Gamma
Delta
Epsilon
Z Zeta
H Eta
Theta
I Iota
K Kappa
Lambda
M Mu
N Nu
Xi
O Omicron
Pi
Rho
Sigma
Tau
Upsilon
Phi
Chi
Psi
Omega
3
x y x y Less than equal a b a b Greater than
equal
3 4< Less than < 3 2> Greater than > 1.99997 2 ABC A B C
)(
Approximately
Congruent
F x F kx = Proportional
5 1(mod 2)
Is congruent to
Modulo
3 2 Not equal 2 1 1x x= = Plus-minus
( ) & ( )a b b c a c= = = Equal = 2 3 6 =
x y zA a i a j a k= + +
x y zB b i b j b k= + +
x y z
x y z
i j kA B a a a
b b b
=
Times, cross
2 3 5+ = Plus + 2 3 1 = Minus -
4
noisiviD = 2 3 6 yb dediviD
/ :
% tnecreP %05
00 0500 dnasuoht reP
00
. toD = B A B Asoc ! lairotcaF = =021 5 4 3 2 1 !5
=2 4 =3 72 3
m n
toor erauqS
T
== b A Baji ij AT esopsnarT
= = = y y x6 6.5 & 5 3.5] [ ] [21 11
22 12
a aa a
tekcarB
xirtaM
] [
) ( sesehtneraP = +51 ))1 4( 2(3
secarB teS
ecneuqeS } {
02,01] [0,1) (
lavretni esolc
lavretni-nepo ,] [ ,) (
5
( ]5, 2 [ )10,13
close-open
open-close
[ ),
( ],
{ } { } { }( )* ( ) ( ) ( )F g x f x F g x F f x= Convolution
, 0, 0
x xx
x x>=
6
222
11
1 1 3(4 1)2 2 2
xdx x= = = Integral ( , )f x y dxdy Double integral
( , , )g x y z dxdydz Triple integral C
dlv Line integral Contour integral v A
dw Surface integral w V
dx Volume integral x Therefore Because ,a b a b Exist
,a b / a b Not exist / ,a b a b For all
( )p p= Propositional p q
p rq r
if then
7
p qp q
q p
if and only if
iff
{ }, ,A a b c= , a A
Membership
Element of
{ }, ,A a b c= , d A
Not member
{ }, ,A a b c= , { },B a d= { }, , ,A B a b c d=
Union
{ }A B a= Intersection { }C a= , C A (proper) Subset
superset B/ Not subset { } = M =
Empty set
2( )f x x= , 2df xdx
= ( ) 2f x x =
x Derivation to x ' XD
ddx
2( )f x x= , 2f xx =
Paritial
derivation
3( )f x x= , 2
2 6df xdx
= n Derivation n order
nth , nth
n
n
ddx
8
3( )f x x= , 2
2 6f xx =
n
Partial
derivation n
order nth
n
nx
x y z = + +
Nabla
Laplace
operator (Nabla)
2 2 22
2 2 2x y z = + +
) (
Square Lap. Op.
Laplacian
2
Line segmentAB
)( Ray AB
Infinity lineAB
ABC , ABC Triangle ABC , ABC ) ( Angle
) ( Right angle
Square , Parallelogram . Circle AB AC Perpendicular AB AC& Parallel & ABC A B C Similar ABC A B C Congruent
ABC Arc
9
52 51 03" '
eergeD
etuniM
dnoceS
' "
7.5,1) (
)2,0,4.1(
) 52,9(
naisetraC
etanidrooC
.ooC ecapS
.ooC raloP
y x) , (
z y x) , , (
r) , (
BA
rotceV
W V W V1
n
iiX X
= =
mus tceriD
1
n
iiX X
= =
tcudorp tceriD
q p q p T T T
F F T
F T F
F F F
( )
dna
eurT
eslaF
T
F
q p q p T T T
T F T
T T F
F F F
ro
01
!) ( ) (!nk
nnk
n == Pk
n k
nk) ( noitatumrePn Pk
kn knk ! !!) (nn
== Ck
n k
Ckn kn) ( noitanibmoC
= i1
yranigamI
rebmun i
= e...4828182817.2
sreipaN
tnatsnoc
rebmun sreluE
e
iP = ...56295141.3 oitar nedloG = 889330816.1
1
n
nnx
xn
=
= x naem
0
1 milnisx
xx
mil timil =
1
mil1+x x1 + =
ytinifnI
` =,4,3,2,1} {
larutaN
srebmun `
` =,4,3,2,1,0 0} { 0
`0 0 htiw larurtaN
11
] =,2,1,0,1 ,2 ,} {
] srebmun regetnI
n n m m0 , , :n
] _ =
lanoitaR
srebmun _
( )
\ srebmun laeR
.
laeR evitisoP
srebmum
\+
+yi x
xelpmoC
srebmun ^
no os dna
=x f y) ( :
edis dnah tfeL
yb denifed si
dnah thgir eht
edis
=:
xam} { mumixaM = xam4 2,4,3,1} { nim} { muminiM = nim1 2,4,3,1} {
03nis12
nis eniS =
06soc12
soc enisoC =
nat tnegnaT = 1 54 nat
12
cot 45 1 = Cotangent cot 1sec
cos =
Secant sec
1cscsin
= Cosecant csc
1 302
sinArc = Arc sine sinArc
Radian : 45 ( )4
rad = 2 45 ( )
2 4cos radArc ==
Arc cosine cosArc
Arc tangent tanArc Arc cotangent cotArc Arc secant secArc Arc cosecant cscArc
sinh2
x xe ex=
)(
Hyperbolic sine sinh sh
cosh2
x xe ex+=
)(
Hyperbolic
cosine cosh
ch 2sec x xhx e e
= +
)(
Hyperbolic
secant sech
2c x xcs hx e e =
)(
Hyperbolic
cosevantccs h
31
2
2
hnat11
x
x
xee
+ =
()
cilobrepyH
tnegnat hnat
ht2
2
htoc11
x
x
xee
=+
()
cilobrepyH
tnegnatoc hnatoc htoc
()
cilobrepyh crA
enis crAhnis
()
cilobrepyh crA
enisoc crAhsoc
,1ji,0j ij i
== atled rehcenorK
+ =T T Tj j ji2 1 = i2,1 Tkji k j i
rosneT Tji
i Tkj
)1 (n2
Sn ecneuqeS + + + +n 3 2 1 =+ Sn n
b goLa mhtiragoL = =goL goL2 001 00101 larutaN =x x goLenl
mhtiragol nl
an n rewop a n a =001 012 B A B A P) (
x0
f=+ x
ytilibaborP
noitcnuF
|
41
O noitisopmoC x g f x g f)) ( ( ) (0 ,1
0 ,0 ngs0 ,1
xx x
x
< = =>
x ngs noitcnuf ngis
6 ot dneT 6 x nwod dednuoR pu dednuoR k j iF F F F Fdarg
z y x + + = =
darg tneidarG
FvidF F F Fz y x
+ + = = GG
vid ecnegreviD
z y x
k j i
F Flrucz y xF F F
= = G G
lruc noitatoR
.
8002