We define a regularized theta lift for orthogonal groups over totally real fields generalizing work of Borcherds. The lift takes harmonic ‘Whittaker forms’ to automorphic Green functions and weakly holomorphic Whittaker forms to meromorphic modular forms on orthogonal groups with zeros and poles supported on special divisors.

While a dot plot depicts data on quantitative variable without distortion, boxplot shows only the five-number summary. For large data, to aid in counting, we propose an IVY as companion plot. Also, for if is approximately normally distributed, boxplot, Gaussian interval that summary, mean, SD, sample size, and counts of outliers. We hope these enhanced visualizations will add value commonly use...

Patterns in vegetation can be expressed through the variation in species composition between plots, which has been termed ‘beta-diversity’ by Whittaker (1960, 1972). The general importance of beta-diversity has been emphasized in recent years (e.g. Gering et al., 2003; Olden et al., 2006; Sax and Gaines 2003; Srivastava 2002). However, even though Legendre et al., (2005) postulate that “beta di...

Studies on the residual impact of logging on the diversity and composition of tropical forests are scarce in India. We examined the impact of selective logging on tree species richness, composition and structure prevalent after 27 years. Trees ≥ 30 cm girth at breast height were inventoried in four 1 ha plots in selectively logged patches and two 1 ha plots in an adjacent unlogged patch of lowl...

the continuum based approaches don’t provide the correct physics in atomic scales. on the other hand, the molecular based approaches are limited by the length and simulated process time. as an attractive alternative, this paper proposes the fixed interfacial multiscale method (fimm) for computationally and mathematically efficient modeling of solid structures. the approach is applicable to mult...

This supplemental material provides additional figures and derivations that complement our paper. The main paper includes indicative examples from the full set of plots contained in this document. We present graphical plots that detail how each of the Paper BSDF’s components contribute to closely replicating our BSDF measurements for paper. We also offer comparison plots for Lambertian/Rough Gl...

To cite this article: Victoria Hollis, Artie Konrad, Aaron Springer, Matthew Antoun, Christopher Antoun, Rob Martin & Steve Whittaker (2017) What Does All This Data Mean for My Future Mood? Actionable Analytics and Targeted Reflection for Emotional Well-Being, Human–Computer Interaction, 32:5-6, 208-267, DOI: 10.1080/07370024.2016.1277724 To link to this article: https://doi.org/10.1080/0737002...