1. Mathe-pronun (Reading ...

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Universite Louis Pasteur - Strasbourg I
UFR Maths-Info
Anglais Scientifique 2006-2007
Licence
Reading Mathematical Expressions
(A. Oancea, S. Maillot, C. Mitschi)
Note:
Some groups of letters are underlined in order to draw one’s at-
tention to their pronunciation.
Basics
a
+
b
a
plus
b
a
−
b
a
m
i
nus
b
a
b
,
a/b
·
b
ab
,
a
times
b
a
over
b
,
a
divided by
b
1
2
,
1
3
,
1
4
, ...,
1
10
one half, one third, one fourth, ... , one tenth
5
2
,
2
3
, ...,
7
10
five halves, two thirds, ... , seven tenths
a
=
b
a
equal
s
b
,
a
is equal to
b
a
=
b
a
different from
b
,
a
not equal to
b
a<b
a
(strictly) less than
b
a
≤
b
a
less than or equal to
b
a>b
a
(strictly) bigger than
b
,
a
greater than
b
a
≥
b
a
greater than or equal to
b
Powers and roots
a
b
a
to the
b
,
a
to the
b
-th (power) [if
b
is a positive integer]
x
2
x
squared
x
3
x
cubed
√
t
-th root of
t
x
inverse
√
t
square root of
t
3
√
t
cubic root of
t
1
a
x
−
1
n
Sets
∅
(the) empty set
A
∪
BA
union
B
A
∩
BA
intersected with
B
A
c
the complement of
A
A
\
BA
minus
B
A
×
BA
times
B
Ax
in
A
,
x
belongs to
A
,
x
belonging to
A
Miscellaneous
5%
∈
five percent
30
◦
thirty degrees
x
k
xk
x
i
xij
[if
j
is an index, not an exponent!]
k
=1
k
2
sum
k
equals 1 to
n
of
k
2
,
sum for
k
(running) from 1 to
n
of
k
2
,
summation
k
from 1 to
n
of
k
2
k
=1
2
k
+2
product
k
equals 1 to
n
of 2
k
+ 1 over 2
k
+2
product for
k
(running) from 1 to
n
of 2
k
+ 1 over 2
k
+2
n
!
n
factorial
partie entiere de
x
integer part of
x
|
2
k
+1
x
|
absolute value of
x
(if
x
is a real number)
|
z
|
modulus of
z
(if
z
is a complex number)
Re(
z
), Im(
z
)
real part of
z
, imaginary part of
z
x
norm of
x
v, w
scalar product of
v
and
w
cos sin tan etc.
cos
i
ne/cosinus s
i
ne/sinus tangent etc.
ηθξ
e
ta [ıta]
the
ta [thıta] x
i
[ksai]
πσχψ
p
i
[pai]
si
gma [zıgma]
chi
[kai] ps
i
[sai]
R
2
,
R
3
,
R
n
R
2,
R
3,
R
n
(
blablabla
)
·
(
blbl
)
blablabla
, the whole times
blbl
blablabla
blbl
blablabla
, the whole divided by
blbl
x
1
,... ,x
n
x
1
up to
x
n
2
x
Calculus
f
f
prime,
f
dashed
d
dx
d
by
dx
dx
,
∂f
∂x
df
by
dx
∂
x
f
dxf
, partial derivative of
f
with respect to
x
b
f
(
s
)
ds
,
integral from
a
to
b
(of)
f
(
s
)
ds
a
double integral, triple integral over the domain
D
±∞
D
D
plus/minus infinity
a
f
(
x
) (the) limit of
f
(
x
)as
x
tends/goes to
a
,
(the) limit of
f
of
x
as
x
tends/goes to
a
log(
x
), log
a
x
logari
th
mof
x
, logari
th
m in base
a
of
x
exp(
x
),
e
x
→
exponential of
x
,
e
to the
x
Functions
f
:
U
→
V
f
from
U
to
V
f
(
x
)
f
of
x
f
(
x
)
x
maps to
f
(
x
)
of class
C
k
of class
Ck
of class
C
∞
of class
C
infinity
the Lebesgue spaces
L
p
,
L
∞
the Lebesgue spaces
Lp
,
L
infinity
the Sobolev spaces
H
k
,
W
k,p
→
the
So
bolev spaces
Hk
,
Wkp
3
df
lim
x
x
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