# Pattern Classification Solutions Manual By Duda

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2 If each conditional distributions is Gaussian p(x|Hi ) = N (µi , σi ), then the above expression becomes 1 (ξ − µ1 )2 1 (ξ − µ2 )2 1 1 √ exp{− exp{− }= √ σ1 2 σ2 2πσ1 2πσ2 If we assume (for simplicity) that σ1 = σ2 = σ the above expression simpliﬁes to (ξ − µ1 )2 = (ξ − µ2 )2 , or on taking the square root of both sides of this we get ξ − µ1 = ±(ξ − µ2If we take the plus sign in this equation we get the contradiction that µ1 = µ2 . Taking the minus sign and solving for ξ we ﬁnd our decision threshold .solutions manual

What is the acceleration of a bicyclist who accelerates from rest to 7 m/s in 4 s? a ϭ ᎏᎏ ϭ ᎏᎏ ϭ 1.75 m/s2How long will it take a scooter accelerating at 0.400 m/s2 to go from rest to a speed of 4.00 m/s? t ϭ ᎏᎏ ϭ ᎏᎏ ϭ 10.0 s 2The pressure on a surface is equal to the force divided by the area: P ϭ F/A. A 53-kg woman exerts a force (weight) of 520 Newtons. If the pressure exerted on the floor is 32,500 N/m2, what is the area of the soles of her shoes? A ϭ ᎏᎏ ϭ ᎏᎏ ϭ 0.016 m2 2
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