wrong! If F(x) == F(y), that doesn't mean X == Y,
take the function:
F(x) = 4
so a straight horizontal line
F(0) == F(1) == F(2)
Does that mean 0 == 1== 2?
2006-08-10 10:04:04
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answer #1
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answered by leatherbiker040 4
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Sorry, but you are wrong. If a=b (1! = 1) and b=c (1=0!) then a=c, aka 1! = 0!. There is no law that I know of in mathematics that states if a!=b! then a=b.
2006-08-10 09:30:33
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answer #2
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answered by DDK 2
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The math is wrong because 0! does not equal 0.
2006-08-10 09:27:11
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answer #3
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answered by bpiguy 7
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DDK is correct.
"If x!=y!, than x=y" is not a true statement.
The reason DDK does not "know" this law is because it does not exist.
2006-08-10 11:08:06
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answer #4
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answered by MsMath 7
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1! does not mean 1.
The math was right until then.
2006-08-10 09:28:50
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answer #5
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answered by billyandgaby 7
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You need to look at the definition of a function again.
Only functions that are one-to-one would have this property.
The gamma function fails the horizontal line test, making this argument invalid.
2006-08-10 09:31:14
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answer #6
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answered by Anonymous
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You yourself have posted an example of where x! = y!, but x is not equal to y. Your assumption is invalid. This only holds for injective functions, which the factorial is not.
2006-08-10 12:40:17
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answer #7
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answered by AnyMouse 3
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No.
Your statement about x! = y! => x=y is WRONG
1! = 0! is proof of that
2006-08-10 09:31:47
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answer #8
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answered by Anonymous
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