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A 4-input Neuron has weights (1,-1, 0, 0.5.Calculate the network output when the following input vectors are applied. For calculation assume: a. f(net) = unipolar bina
Definition 1. Given any x 1 & x 2 from an interval I with x 1 2 if f ( x 1 ) 2 ) then f ( x ) is increasing on I. 2. Given any x 1 & x 2 from an interval
Unit circle A circle centered at the origin with radius 1 (i.e. this circle) is called as unit circle. The unit circle is very useful in Trigonometry. (b) x 2 + ( y - 3) 2
Area Problem Now It is time to start second kind of integral: Definite Integrals. The area problem is to definite integrals what tangent & rate of change problems are to d
Differentiate following functions. (a) f ( x ) = 2 x 5 cosh x (b) h (t ) = sinh t / t + 1 Solution (a) f ′ ( x ) = 10x 4 cosh x + 2x 5 sinh x (b) h′ (t ) = (t
Do All Our Activities Involve Mathematics? : The answer to this is 'yes' and 'no'. For those who look for mathematics and know where to look for it, it is 'yes'. For those who do
A chemist mixed a solution which was 34% acid with another solution that was 18% acid to generate a 30-ounce solution which was 28% acid. How much of the 34% acid solution did he u
Q. Determine Z-scores and Percentiles? Ans. Z-scores help measure how far a piece of data is from the mean. More specifically, Z-scores tell how far a piece of data is fr
1. A point P(a,b) becomes (3,c) after reflection in x - axis, and (d,6) after reflection in the origin. Show that a = 3, b = - 6, c = 6, d = 2 2. If the pair of lines ax² + 2pxy
Q. Converting Mixed Numbers to Improper Fractions? Ans. Converting a mixed number to an improper fraction is easy. A single multiplication, and then a single addition:
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