Assume P(C2) = eP(C1) (where e is the Euler number ln(e) = 1)

And i know P(C2) + P(C1) = 1

find P(C2) and P(C1)

Thanks.

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- Sep 2nd 2010, 10:47 AMadam_leedsBasic algebra but dont know what a euler number is?
Assume P(C2) = eP(C1) (where e is the Euler number ln(e) = 1)

And i know P(C2) + P(C1) = 1

find P(C2) and P(C1)

Thanks. - Sep 2nd 2010, 01:12 PMundefined
Well there are Euler numbers and then there's Euler's number. :) Here you are asked about Euler's number which is just a constant (a real number with interesting properties). What are P(Ci) supposed to represent? I don't see why it's not just a system of equations.

a = eb

a + b = 1

Find a and b. - Sep 2nd 2010, 02:15 PMCaptainBlack
- Sep 3rd 2010, 03:29 AMadam_leeds
Is it lnP(C2) = P(C1)

lnP(C2) + P(C2) = 1

P(C2) = 1 and P(C1) = 0? - Sep 3rd 2010, 07:47 AMundefined
- Sep 4th 2010, 04:10 AMadam_leeds
I don't understand :(

Whats P(C1) and P(C2) Can someone do it step by step for me please, thanks. - Sep 4th 2010, 04:41 AMundefined
- Sep 4th 2010, 04:54 AMadam_leeds
Whats the point in telling us ln(e) = 1 , if you haven't used it?

- Sep 4th 2010, 05:10 AMundefined
- Sep 4th 2010, 05:19 AMadam_leeds
Ok thanks, the whole question

Consider a 2-class problem with two-dimensional features (x1,x2)transposed . The class conditional distributions P(x|Ci) are modelled by gaussian densities means = (-1,1) transposed and (1,1) transposed respectively with identical covariance matrices.

Assume P(C2) = eP(C1) (where e is the Euler number ln(e) = 1) and use the logistic discriminant fuction to derive the explicit expression of P(C1|x) - Sep 4th 2010, 05:36 AMundefined