Postcard: Jones & Maxwell

This black and white printed postcard contains correspondence from Real Estate Loan Brokers in Paola, Kansas to a man in a banking firm in Pennsylvania. Printed text and handwriting are on the front of the card. Handwriting is on the back of the card.https://scholars.fhsu.edu/tj_postcards/2049/thumbnail.jp

Postcard: Kansas Loan & Trust Company

This black and white printed postcard contains correspondence from Kansas Loan & Trust in Topeka, Kansas to a man in a banking firm in Pennsylvania. Printed text and handwriting are on the front of the card. Handwriting is on the back of the card.https://scholars.fhsu.edu/tj_postcards/2054/thumbnail.jp

Postcard: Hand Written Message from a Banker

This black and white printed postcard contains correspondence from a man in Kansas to a man in a banking firm in Pennsylvania. Handwriting is on the front and back of the card.https://scholars.fhsu.edu/tj_postcards/2166/thumbnail.jp

Postcard: F.M. Shaw & Company Request for Information

This black and white printed postcard contains correspondence from Real Estate Loan Brokers in Emporia, Kansas to a man in a banking firm in Pennsylvania. Printed text and handwriting are on the front of the card. Handwriting is on the back of the card.https://scholars.fhsu.edu/tj_postcards/2051/thumbnail.jp

In Search of Professional Dispositions that Yield Cultural Relevance in Primary Grade Pedagogy: A Cautionary Tale of One Kindergarten Teacher

Primary grade teachers are challenged to establish firm learning foundations for all children, yet for many teachers cultural diversity makes this a complex pedagogical challenge. It is widely assumed that the success with which teachers meet this challenge is reflected in their dispositions toward diversity, and ultimately toward culturally relevant pedagogy as a professional orientation. This article describes a multi-year study of cultural relevance in early mathematics teaching. Using the case of one kindergarten teacher who exhibited positive dispositions toward cultural relevance, the authors examine factors that seemed to work against its adoption in her pedagogy

Scaling Symmetries of Scatterers of Classical Zero-Point Radiation

Classical radiation equilibrium (the blackbody problem) is investigated by the use of an analogy. Scaling symmetries are noted for systems of classical charged particles moving in circular orbits in central potentials V(r)=-k/r^n when the particles are held in uniform circular motion against radiative collapse by a circularly polarized incident plane wave. Only in the case of a Coulomb potential n=1 with fixed charge e is there a unique scale-invariant spectrum of radiation versus frequency (analogous to zero-point radiation) obtained from the stable scattering arrangement. These results suggest that non-electromagnetic potentials are not appropriate for discussions of classical radiation equilibrium.Comment: 13 page

Luminous Satellites II: Spatial Distribution, Luminosity Function and Cosmic Evolution

We infer the normalization and the radial and angular distributions of the number density of satellites of massive galaxies ($\log_{10}[M_{h}^*/M\odot]>10.5$) between redshifts 0.1 and 0.8 as a function of host stellar mass, redshift, morphology and satellite luminosity. Exploiting the depth and resolution of the COSMOS HST images, we detect satellites up to eight magnitudes fainter than the host galaxies and as close as 0.3 (1.4) arcseconds (kpc). Describing the number density profile of satellite galaxies to be a projected power law such that P(R)\propto R^{\rpower}, we find \rpower=-1.1\pm 0.3. We find no dependency of \rpower on host stellar mass, redshift, morphology or satellite luminosity. Satellites of early-type hosts have angular distributions that are more flattened than the host light profile and are aligned with its major axis. No significant average alignment is detected for satellites of late-type hosts. The number of satellites within a fixed magnitude contrast from a host galaxy is dependent on its stellar mass, with more massive galaxies hosting significantly more satellites. Furthermore, high-mass late-type hosts have significantly fewer satellites than early-type galaxies of the same stellar mass, likely a result of environmental differences. No significant evolution in the number of satellites per host is detected. The cumulative luminosity function of satellites is qualitatively in good agreement with that predicted using subhalo abundance matching techniques. However, there are significant residual discrepancies in the absolute normalization, suggesting that properties other than the host galaxy luminosity or stellar mass determine the number of satellites.Comment: 23 pages, 12 figures, Accepted for publication in the Astrophysical Journa

Estimates on Green functions of second order differential operators with singular coefficients

We investigate the Green functions G(x,x^{\prime}) of some second order differential operators on R^{d+1} with singular coefficients depending only on one coordinate x_{0}. We express the Green functions by means of the Brownian motion. Applying probabilistic methods we prove that when x=(0,{\bf x}) and x^{\prime}=(0,{\bf x}^{\prime}) (here x_{0}=0) lie on the singular hyperplanes then G(0,{\bf x};0,{\bf x}^{\prime}) is more regular than the Green function of operators with regular coefficients.Comment: 16 page