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Slowly varying function method applied to quartz crystal oscillator transient calculation
IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 1998By using an approach based on the full nonlinear Barkhausen criterion, it is possible to describe oscillator behavior under the form of a nonlinear characteristic polynomial whose coefficients are functions of the circuit components and of the oscillation amplitude.
Brendel, R. +4 more
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Analysis of noise in quartz crystal oscillators by using slowly varying functions method
IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 1999By using formal manipulation capability of commercially available symbolic calculation code, it is possible to automatically derive the characteristic polynomial describing the conditions for oscillation of a circuit. The analytical expression of the characteristic polynomial is obtained through an encapsulation process starting from the SPICE netlist ...
Brendel, R. +4 more
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Asymptotic expansion of a Fourier integral containing a slowly varying function
USSR Computational Mathematics and Mathematical Physics, 1973Abstract AN asymptotic expansion is obtained for the integral (2.1) as x → + ∞; certain generalizations of the result are outlined and a concrete example is given. Theorems are incidentally obtained on the asymptotic forms of the integrals (1.5) and (3.2).
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Slowly varying functions of two variables and a tauberian theorem for the double laplace transform
Applicable Analysis, 1987A theory of regularly varying functions of two variables is developed. Uniform convergence and characterisation theorems are valid. There are both weak and strong representation theorems, the last corresponding to the notion of a completely regularly varying function.
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Study of the Slowly Varying Component at Three Centimeters as a Function of Solar Activity
1965Solar centers of activity are associated with localized, relatively stable, sources of radio emission, called “radio condensations,” which overlie the plage regions (see the papers by Denisse [1], Castelli and Aarons [2], and Pick [3], in this volume). These condensations give rise to the slowly varying component of solar radio emission.
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Limiting Reiteration for Real Interpolation With Slowly Varying Functions
Mathematische Nachrichten, 2005Bohumir Opic +2 more
exaly
REAL INTERPOLATION WITH SYMMETRIC SPACES AND SLOWLY VARYING FUNCTIONS
The Quarterly Journal of Mathematics, 2010P. Fernandez-Martinez, T. Signes
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Spectrum of algebra of slowly varying at infinity functions
Actual directions of scientific researches of the XXI century: theory and practice, 2014openaire +1 more source