Engg maths, Mathematics

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Determine the average bit rate - huffman codebook, 1. Consider a source wi...

1. Consider a source with 4 symbols {a,b,c,d}. The probability of the 4 symbols are P(a)=0.4, p(b) = 0.1, p(c)=0.2, p(d)= 0.3. a. Design a Huffman codebook for these symbols.

Capture a curvature in the relationship - quadratic model, 1. Consider the ...

1. Consider the model Y t = β 0 + β 1 X t + ε t , where t = 1,..., n.  If the errors ε t are not correlated, then the OLS estimates of  β 0   and β

Division of complex number, Division of complex number Now, we gave thi...

Division of complex number Now, we gave this formula a long with the comment that it will be convenient while it came to dividing complex numbers so let's look at a couple of e

Power of x, (x+1/x)^2=3 then value of x^72+x^66+x^54+x^36+x^24+x^6+1 is

(x+1/x)^2=3 then value of x^72+x^66+x^54+x^36+x^24+x^6+1 is

If t2+t+1=0 , t=w,w 2 L.H.S (w+w 2 ) + (w 2 + w) 2 ........  1  + 1 ....

t=w,w 2 L.H.S (w+w 2 ) + (w 2 + w) 2 ........  1  + 1 ..... But every third term is of the form: (w 3n +w 3n ) 2 =22 There are nine such terms. Their sum is 36. The rema

MATLAB, Program of "surface of revolution" in MATLAB

Program of "surface of revolution" in MATLAB

Sin[cot-1{cos(tan-1x)}], sin (cot -1 {cos (tan -1 x)}) tan -1 x = A  ...

sin (cot -1 {cos (tan -1 x)}) tan -1 x = A  => tan A =x sec A = √(1+x 2 ) ==>  cos A = 1/√(1+x 2 )    so   A =  cos -1 (1/√(1+x 2 )) sin (cot -1 {cos (tan -1 x)}) = s

Substitution rule, Substitution Rule ∫ f ( g ( x )) g′ ( x ) dx = ∫ f (...

Substitution Rule ∫ f ( g ( x )) g′ ( x ) dx = ∫ f (u ) du,     where, u = g ( x ) we can't do the following integrals through general rule. This looks considerably

Diffrence between integers and rational numbers, Q. Give basic Diffrence be...

Q. Give basic Diffrence between Integers and Rational Numbers? Ans. Integers The integers are positive and negative whole numbers. The integers are closed under ad

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