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Test
dp(x) dx x

0

1. Probability distribution function F (x) is related with the probability density p(x) as (a) F (x) = (b) F (x) =
-

p(x)dx xp(x)dx
-

(c) F (x) =

(d) F (x) = ap(x),

a = const

2. Fourier analysis allows to (a) distinguish the function breaks (b) determine the harmonic contents of a signal (c) listen music (d) diagnose a patient 3. Singular value decomposition of the matrix A is (a) it's decomposition into singularities (b) it's Fourier transform (c) finding the rotation, which transforms it to diagonal form (d) solution of the eigenvalues problem 4. Window is (a) glassed-in hole in the wall (b) space where the programm represents the results of its work (c) smooth part of the function (d) function is used in convolution tending to zero at the edges 5. (AT P A)-1 AT P l looks like (a) cryptogram from the World War II times (b) BLUE (c) Weighed least squares method estimation (d) Lagrange polynomial 6. Explain what is a point, please.


7. Product of two complex numbers x = x1 + ix2 and y = y1 + iy2 is (a) x1 y1 + ix2 y (b) |x||y
2 ar g (x)+ar g (y ) |e

(c) (x1 y1 + x2 y2 ) + i(x1 y2 + x2 y 1) (d) (x1 y1 - x2 y2 ) + i(x1 y2 + x2 y 1) 8. General solution of an n-order stationary inhomogeneous differential equation can be represented as a (a) combination of complex exponets (b) combinantion of the general solutions of homogenious equation and one particular solution of inhomogenious equation (c) integral (d) numerical solution 9. The estimate is consistent if (a) it's mathematical expectation tends to the real value of estimated parameter while the number of observations increases (b) it has minimal dispersion (c) it's dispersion decreases while the number of observations increases (d) it is equal to the estimated parameter 10. Matrix invertion can be calculated by (a) Matlab (b) dividing by determinant (c) calculation of algebraic complements, traslation and dividing by determinant (d) calculation of minors, traslation and dividing by determinant

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