Algebraic formulation of Kumaresan-Tufts superresolution method, showing relation to ME and MUSIC methods

Although many music teacher candidates begin university studies planning to teach secondary ensembles, most will ultimately be certified to teach younger children and may be called to do so. The purpose of this study was to examine how music teacher education programs prepare preservice music educators to teach music to children from birth through elementary school through coursework. We emailed survey invitations to representatives from 512 institutions accredited by the National Association of Schools of Music to prepare music educators. We received 134 usable responses (response rate = 26%). Nearly all respondents offered elementary general music methods (EGMM), and over three quarters required EGMM for all students in initial licensure programs. Only about one in ten responding institutions offered early childhood music methods (ECMM). We describe findings on EGMM and ECMM course structures, content, and materials as well as the employment status, degree background, and other qualifications of the person who typically taught this coursework

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Deriving compact laws based on algebraic formulation of a data set

Journal of Computational Science ◽

10.1016/j.jocs.2019.06.006 ◽

2019 ◽

Vol 36 ◽

pp. 101009 ◽

Cited By ~ 1

Author(s):

Wenqing (William) Xu ◽

Mark Stalzer

Keyword(s):

Data Set ◽

Algebraic Formulation

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VII.–The Effect of the Transport of Heat on the Rate of Evaporation of Small Droplets I. Evaporation into a Large Excess of a Gas

Proceedings of the Royal Society of Edinburgh Section A Mathematical and Physical Sciences ◽

10.1017/s0080454100007718 ◽

1962 ◽

Vol 66 (2) ◽

pp. 65-80

Author(s):

P. G. Wright

Keyword(s):

Gaseous Phase ◽

The Other ◽

Total Resistance ◽

Large Excess ◽

Stationary Growth ◽

In Series ◽

Finite Period ◽

Rate Of Evaporation ◽

Latent Heat Of Vaporization ◽

Algebraic Formulation

SynopsisBeginning with fundamental results obtained by Mason for the effect of self-cooling on the evaporation of drops, and by Fuchs for the diffusional retardation of evaporation for small droplets of any radius, explicit expressions for the effect of the transport of heat on the rate of quasi-stationary growth or evaporation, are discussed.The simplest algebraic formulation of the results lends itself to interpretation as expressing a resistance to evaporation, the total resistance being the sum of four resistances in series. Two of these resistances, one to diffusion and one to the conduction of heat, are offered by the gaseous phase in bulk; and there are two corresponding resistances at the interface. Corrections are formulated for the effect of the heating of the droplet by radiation. These corrections may be expressed as a (finite) resistance in parallel with the other two resistances to the transfer of heat. Simplified equations are obtained for the evaporation of a liquid whose latent heat of vaporization is very large.Some remarks are made on the formation of a monodisperse aerosol by the growth of smaller droplets. Integrated expressions are obtained for particular cases of the evaporation of a droplet over a finite period of time.

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