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 ]
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