In this chapter, a new rotation-invariant generalization of the analytic signal will be presented to analyze intrinsic 1D and 2D local image structures. By combining differential geometry and Clifford analysis, the monogenic curvature tensor can be derived to perform a split of identity and to enable simultaneous estimation of local amplitude, phase, main orientation and angle of intersection i...

Critical Discourse Analysis (CDA) could be seen as a theory in qualitative more than in qualitative stud- ies. This might have led to difficulty in doing CDA. Accordingly, this study attempted to develop a quan- titative profile in the form of an analytic rubric. For this purpose, Fairclough’s model of CDA was select- ed as the research framework. The techniques used for structuring analy...

English language practitioners have long relied on intuition-based scales for rating EFL/ESL writing. As these scales lack an empirical basis, the scores they generate tend to be unreliable, which results in invalid interpretations. Given the significance of the genre of description and the fact that the relevant literature does not introduce any data-based analytic scales for rating EFL descri...

Through analytic techniques verified by numerical calculations, we establish general relations between the matter and cosmic microwave background (CMB) power spectra and their dependence on cosmological parameters on small scales. Fluctuations in the CMB, baryons, cold dark matter (CDM), and neutrinos receive a boost at horizon crossing. Baryon drag on the photons causes alternating acoustic pe...

The QCD analytic running coupling αan which has no nonphysical singularities for all Q2 > 0 is considered for the initial perturbation theory approximations up to four loop order. The finiteness of the analytic coupling at zero is shown to be a consequence of the asymptotic freedom property of the initial theory. The nonperturbative contributions to the analytic coupling are extracted explicitl...