Lindquist, Siegel, Quigley, and Barrett (2013) critiqued our recent meta-analysis that reported the effects of discrete emotions on outcomes, including cognition, judgment, physiology, behavior, and experience (Lench, Flores, & Bench, 2011). Lindquist et al. offered 2 major criticisms—we address both and consider the nature of emotion and scientific debate. Their 1st criticism, that the meta-an...

The Main Conjecture of Iwasawa theory for an elliptic curve E over Q and the anticyclotomic Zp-extension of an imaginary quadratic field K was studied in [BD2], in the case where p is a prime of ordinary reduction for E. Analogous results are formulated, and proved, in the case where p is a prime of supersingular reduction. The foundational study of supersingular main conjectures carried out by...

This paper describes certain hypercomplex manifolds as circle V-bundles over 3-Sasakian orbifolds. Our techniques involve both 3-Sasakian and hypercomplex reduction. In general dimension most of the quotients exist only as hypercomplex orbifolds; however, we construct a large family of compact simply connected smooth 8-manifolds whose second integral homology group is free with arbitrary rank. ...

We will discuss knapsack problems that arise in certain computational number theory settings. A common theme is that the search space for the standard real relaxation is large; in a sense this translates to a poor choice of variables. Lattice reduction methods have been developed in the past few years to improve handling of such problems. We show explicitly how they may be applied to computatio...

b = a length L c = the cohesion intercept M L T Ip = the plasticity index P = a force M L T u = the pore fluid pressure ML T θ = an angle Angle μ1 = shear strength reduction factor related to time effects μ2 = shear strength reduction factor related to fissuring σ = the normal stress on a plane M L T τ = the shearing stress on a plane M L T φ = the angle of internal friction Angle ψ = an angle ...