Given that alpha,beta,gamma are the zeroes of the polynomial f(x)=x^3-p x^2+q x-r. therefore alpha + beta + gamma = p alpha beta + beta gamma + gamma alpha = q alpha beta gamma = r therefore 1/(alpha beta)+1/(beta gamma)+1/(gamma alpha) =
NAGEEN PRAKASHAN ENGLISH-POLYNOMIALS-Revision Exercise Long Answer Questions If alpha,beta are zeroes of polynomial f(x)=x^(2)-p(x+1)-c, then find ... 04:09 Divide x^(4)+5x^(3)-x^(2)+4x-3 by x-2 and verify the division algorith... 04:43 Find the quadratic polynomial whose...
By selecting the special values of deformation parameters, we have separated a generalized deformed oscillator connected with generalized discrete Hermite II polynomials. By these means we have constructed Barut–Girardello type coherent states of this oscillator. We have found the conditions on the (...
This behavior can be qualitatively explained by time functions which are locally dominated by second order polynomials. If a linear detrend is removed in a specific segment of length 2T, the detrended signal has the form $$f(t)=a({(t-T)}^{2}-{T}^{2}/3)$$ (6) for 0 ≤ ...
To tame the statistical fluctuations present in the obtained binned hadronization correction distributions, these were parametrized with analytic functions, expressed as a sum of polynomials of \chi -90^{\circ }. The value of the fitted function at the bin centre was used as the correction factor...
with the polynomials $$\begin{aligned} p_{1}&= 4 n^6+22 n^5+48 n^4+53 n^3+45 n^2\nonumber \\&+\,\,36 n+8\end{aligned}$$ (18) $$\begin{aligned} p_{2}&= n^7-15 n^5-58 n^4-92 n^3-76 n^2\nonumber \\&-\,\,48 n-16\end{aligned}$$ (19) $$\begin{...
POLYNOMIALSSPECTRAThe conditional diameter of a connected graph Gamma = (V, E) is defined as follows: given a property P of a pair (Gamma(1), Gamma(2)) of subgraphs of F, the so-called conditional diameter or P-diameter measures the maximum distance among subgraphs satisfying P. That is...