Information Technology Reference
In-Depth Information
dx
Ç
×
∂
x
=
É
Ù
dt
The plus and multiply operations are expressed by
⊕
and
թ
, which is
defined as:
y
x
-
0
+
-
-
-
?
0
-
0
+
+
?
+
+
[x]
է
[y]
Y
x
-
0
+
-
+
0
-
0
0
0
0
+
-
0
+
[x]
թ
[y]
Among above definitions, symbol ? denotes uncertain or undefined.
Assuming e
1
, e
2
are equations, the following gives the operation rules of
⊕
and
թ
:
[0]
է
[e
1
]
ӄ
[e
1
]
[0]
թ
[e
1
]
ӄ
[0]
[+]
թ
[e
1
]
ӄ
[e
1
]
[-]
թ
[e
1
]
ӄ
-[e
1
]
Operator + and × can be converted into
⊕
and
թ
, using the following rules:
[
e
1
e
2
]
ӄ
[
e
1
]
է
[
e
2
]
[
e
1
×
e
2
]
ӄ
[
e
1
] ⊗ [
e
2
]