MHB What is the Binary Operator $\oplus$ and its Significance?

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define the binary operater $\oplus$ by
a$\oplus$b=4ab
find

a. $9\oplus 3$=4(9)(3)=108
b. $2\oplus 2$=4(2)(2)=16
c. $3\oplus 9$=4(3)(9)=108
d. $g\oplus h$=4(g)(h)=4gh

ok that was too simple must be doing something wrong

what is the significance lf $\oplus$
 
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karush said:
define the binary operater $\oplus$ by
a$\oplus$b=4ab
find

a. $9\oplus 3$=4(9)(3)=108
b. $2\oplus 2$=4(2)(2)=16
c. $3\oplus 9$=4(3)(9)=108
d. $g\oplus h$=4(g)(h)=4gh

ok that was too simple must be doing something wrong

what is the significance lf $\oplus$
Nope. It's that simple. As to the significance of [math]\oplus[/math] that depends on the context of the problem. Binary operations can be defined for many specific types of problems.

-Dan
 
ok i never saw this stuff in any class i took
not even sure what class its found in
 
karush said:
ok i never saw this stuff in any class i took
not even sure what class its found in
In one form or another you can find them anywhere relations are mentioned. A binary operation is an example of a relation.

-Dan
 
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