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HEILES CARL The Korean Astronomical Society 1996 Journal of The Korean Astronomical Society Vol.29 No.suppl1
We examine the observations of large-scale magnetic fields in the Universe. We begin at the largest scale with clusters of galaxies and work our way down through galaxies and finally to the Milky Way. on which we concentrate in detail. We examine the observations of the Galactic magnetic field, and their interpretation, under the philosophy that the Galactic magnetic field is like that in other spiral galaxies. We use pulsar data. diffuse Galactic synchrotron emission, and starlight polarization data to discuss the Galaxy's global magnetic configuration and the uniform ($B_u$), random ($B_r$), and total ($B_t$) components of the field strength. We find disagreement among conclusions derived from the various data sets and argue that the pulsar data are not the best indicator for large-scale Galactic field. Near the Solar circle, we find that the azimuthal average of $B_t$ is 4.2$\mu$G and we adopt $B_u\~$2.2 and $B_r\~3.6{\mu}G$. $B_t$ is higher in spiral arms, reaching $\~5.9{\mu}G$. $B_t$ is higher for smaller $R_{Gal}$, reaching $\~8.0{\mu}G$ for $R_{Gal}$ = 4.0 kpc. The pattern of field lines is not concentric circles but spirals. The inclination of the magnetic spiral may be smaller than that of the Galaxy's spiral arms if our sample, which refers primarily to the interarm region near the Sun, is representative. However, it is not inconceivable that the local field lines follow the Galaxy's spiral pattern, as is observed in external galaxies.
THE LINEAR INDEPENDENCE CONJECTURE FOR TIME-FREQUENCY SHIFTS
Christopher Heil,Gang Joon Yoon 한국산업응용수학회 2006 한국산업응용수학회 학술대회 논문집 Vol.1 No.2
In this talk, we recall concepts of Schauder and Riesz bases, and frame, which are essential tools in the study of wavelet and time-frequency analysis. Then we introduce an open conjecture in time-frequency analysis on the linear independence of a finite set of time-frequency shifts of a given L² function. Despite the striking simplicity of the statement of this conjecture, it remains open today in the generality. The partial results that are known to hold for the conjecture are also presented and discussed.
THE SOCIAL ACCEPTABILITY OF LUXURY AUTOMOBILES
Johannes Winter,Oliver P. Heil 글로벌지식마케팅경영학회 2016 Global Marketing Conference Vol.2016 No.7
Due to the widening social gap, creation of social acceptability has become a key factor of success in luxury brand-building for automotive companies. We develop and apply an acceptability scale in the context of luxury cars. The empirical results confirm strong influences of brand associations, socio-demographic characteristics and materialistic preferences.
Invariances of frame sequences under perturbations
Bishop, S.,Heil, C.,Koo, Y.Y.,Lim, J.K. North Holland [etc.] 2010 Linear algebra and its applications Vol.432 No.6
This paper determines the exact relationships that hold among the major Paley-Wiener perturbation theorems for frame sequences. It is shown that major properties of a frame sequence such as excess, deficit, and rank remain invariant under Paley-Wiener perturbations, but need not be preserved by compact perturbations. For localized frames, which are frames with additional structure, it is shown that the frame measure function is also preserved by Paley-Wiener perturbations.