219,732 research outputs found
q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers
No full textWe introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers.
This study is motivated by their key role in the (reciprocal) expansion of any power of a second order
q-differential operator having the q-classical polynomials as eigenfunctions in terms of other even order operators,
which we explicitly construct in this work. The results here obtained can be viewed as the q-version of
those given by Everitt et al. and by the first author, whilst the combinatorics of this new set of numbers is a
q-version of the Jacobi–Stirling numbers given by Gelineau and the second author
F-term inflation Q-balls
No full textA general analysis of Q-ball solutions of the supersymmetric F-term hybrid inflation field equations is given. The solutions consist of a complex inflaton field and a real symmetry-breaking field, with a conserved global charge associated with the inflaton. It is shown that the Q-ball solutions for any value of the superpotential coupling, kappa, may be obtained from those with kappa=1 by rescaling the space coordinates. The complete range of Q-ball solutions for the case kappa=1 is given, from which all possible F-term inflation Q-balls can be obtained. The possible role of F-term inflation Q-balls in cosmology is discussed
Q-Q plots for the distribution inferred by the models.
No full textA Diversity Q-Q plot for S3R-IBP. B Diversity Q-Q plot for the S-IBP. C Diversity Q-Q plot for the baseline model. D Ubiquity Q-Q plot for S3R-IBP. E Ubiquity Q-Q plot for S-IBP. F Ubiquity Q-Q plot for the baseline model.</p
Postać n-tej iteracji operatora q = f d/dx
No full textArtykuł nie zawiera streszczeniaMotivated by applications in linear dynamical systems, the author studies q^n(f), where q is the operator f●(d/dx) and qn is its n-th iteration. q^n(f) is a polynomial F(f(0),f(1),...,f(n)) in the derivatives f(0)=f,...,f(n) of f with integer coefficients. Special attention is paid to determining the coefficients of F. The author presents algorithms for computing the coefficients and also shows that the sum of all coefficients of F equals n!. The paper ends with some remarks on the number of coefficients of F, which is related to the number-theoretic unrestricted partition function
High-Q bismuth silicate nonlinear glass microsphere resonators
No full textThe fabrication and characterization of a bismuth-silicate glass microsphere resonator has been demonstrated. At wavelengths near 1550 nm, high-modes can be efficiently excited in a 179 µm diameter bismuth-silicate glass microsphere via evanescent coupling using a tapered silica fiber with a waist diameter of circa 2 µm. Resonances with Q-factors as high as were observed. The dependence of the spectral response on variations in the input power level was studied in detail to gain an insight into power-dependent thermal resonance shifts. Because of their high nonlinearity and high- factors, bismuth-silicate glass microspheres offer the potential for robustly assembled fully integrated all-optical switching devices
Uniqueness of F-q-quadratic perfect nonlinear maps from F-q3 to F-q(2)
No full textLet q be a power of an odd prime. We prove that all F-q-quadratic perfect nonlinear maps from F-q3 to F-q(2) are equivalent. We also give a geometric method to find the corresponding equivalence explicitly
Noisy Share Prices and the Q Model of Investment
No full textWe consider to what extent the empirical failings of the Q model of investment can be attributed to the assumption that stock market valuations accurately measure the present value of future net distributions to shareholders. We characterise the implications of different types of measurement error in the conventional average Q ratio that can result from the failure of this assumption, and show that plausible forms of measurement error can result in failure to identify the model's structural parameters. To explore this empirically, we use securities analysts' consensus earnings forecasts to construct an alternative measure of average Q, not based on share prices. Using this measure, we find more reasonable estimates of the size of adjustment costs, no significant cash flow effects, and no evidence of non-linearities. Indeed we find that our measure of average Q is a sufficient statistic for investment, and there is no additional information relevant for investment in stock market valuations. These results suggest that there are highly persistent deviations between stock market values and firms' fundamental valuations, and that these deviations are themselves correlated with fundamentals. This is consistent with rational bubble or noise trader models of share prices.
Bouncing cosmology in f(Q) symmetric teleparallel gravity
No full textWe consider f(Q) extended symmetric teleparallel cosmologies, where Q is the non-metricity scalar, and constrain its functional form through the order reduction method. By using this technique, we are able to reduce and integrate the field equations and thus to select the corresponding models giving rise to bouncing cosmology. The selected Lagrangian is then used to develop the Hamiltonian formalism and to obtain the Wave Function of the Universe which suggests that classical observable universes can be recovered according to the Hartle Criterion
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Network Q
No full textA press release from Network Q announcing that they will begin featuring Brian McNaught, a gay columnist and author, for a monthly segment
Network Q
No full textA press release from Network Q announcing that they will begin featuring Brian McNaught, a gay columnist and author, for a monthly segment
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