Example 1:
a2+b2=c2
a
2
b
2
c
2
(1)
Example 2:
Pf=∫-∞∞ptⅇ-ⅈ2πftdt=∫0Δⅇ-ⅈ2πftdt=1-ⅈ2πfⅇ-ⅈ2πfΔ-1
P
f
t
p
t
2
f
t
t
0
Δ
2
f
t
1
2
f
2
f
Δ
1
(2)
Example 3:
ddxfx
x
f
x
(3)
Example 4:
d2dx2fx
x
2
f
x
(4)
Example 5:
(
∑
k
=
1
n
a
k
b
k
)
2
≤
(
∑
k
=
1
n
a
k
2
)
(
∑
k
=
1
n
b
k
2
)
(
∑
k
=
1
n
a
k
b
k
)
2
≤
(
∑
k
=
1
n
a
k
2
)
(
∑
k
=
1
n
b
k
2
)
(5)
Example 6:
x
=
[
32000
(
1
-
5
100
)
(
1
+
10
100
)
(
1
+
25
2
100
)
]
x =
[
32000
(
1
-
5
100
)
(
1
+
10
100
)
(
1
+
25
2
100
)
]
(6)
Example 7:
abcdefghj
a
b
c
d
e
f
g
h
j
(7)