Sentence examples for transform given from inspiring English sources

Viète showed how to transform given equations into others, already known.

These centers also can be used to transform given algebraic curves to unique canonical forms, analogous to the controllable and observable companion forms associated with state-space systems.

There is a natural harmonic analysis, with the Fourier transform given by f(c, λ) = 12π f r, θ) J|v|(λr) eivθr dr dθ, Fourier inversion formula f(c, θ) = f r, θ) J|v|(λr) eivθλ dλ dv, and Plancherel formula ‖f‖22=2π |f v, λ)|2 λ dλ dv in the case n = ∞, and analogous expressions with v restricted to the values kn when n is finite.

The NW compound pdf is found by inverting the transform given in Equation 14.

Therefore, we obtain the output voltage, in other words, an instrument response, with respect to the force given by the right-hand side of Eq. (2) by performing the inverse Fourier transform given by Eq. (4).

Throughout this paper, we define the Poisson process ({N_{alpha}(t), tgeq0}) with random intensity (frac{1}{A}), we assume that A is a strictly (frac{alpha }{2} -stable random variable with respect to ((Omega_{2} -stablel{F}_{2}, P_{2})), totally skewed to the random with Laplace transform givariableexp{-lambda A}= exp bigl{ -lambda^{frac{alpha}{2}} bigr}.

The ratio of the output transform divided by the input transform gives the gain.

Various segmentation methods were tested and extended maxima transform gave the best result.

Appropriate estimates for the maximal Hilbert transform give the pointwise existence of the principal value Hilbert transform.

The result of Radon transform gives the lengths of lines pass through this pixel along different directions.

The overall results show that the proposed transform gives comparable or better image compression performance than the so far evolved SDCT.