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 new operations (Posted on 2004-03-31)
Mathematicians have just created three new operation symbols, @, \$,and _, each doing a different thing to a pair of numbers (All of these symbols can be derived from already-known operations and notations). The following equations using the new symbols are correct:

5@5= 2/5
2@2= 1
2@3= 5/9
3@4= 7/16
2@4= 3/8

1\$0= undefined
1\$4= 1/10
4\$1= 1/10
10\$10= 1/50
(1@1) \$ 1= (√2)/10

2_2= 6
2_3= 9
6_2= 42
3_5= 30
5_6= 90

If the previous equations are correct, compute the following equation.

1 @ (1 \$ (1_1))=

 See The Solution Submitted by Victor Zapana Rating: 3.3000 (10 votes)

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 The _ operator | Comment 4 of 14 |

2_2= 6
2_3= 9
6_2= 42
3_5= 30
5_6= 90

6/2= 3 = 2+1
9/3= 3 = 2+1
42/2= 21 = 6+5+4+3+2+1
30/5= 6 = 3+2+1
90/6= 15 = 5+4+3+2+1

a_b = b*a*(a+1)/2

 Posted by Brian Smith on 2004-03-31 14:52:43

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