A systematic approach is presented for fitting empirical expressions to da ta depending on two variables. The problem can also be described as the simultaneous fitting of a family of curves depending on a parameter . The proposed method reduces a surface fitting problem to t h a t of fitting a few functions of one variable each. First , t he surface is expressed in terms of these one-variable f...

Statistics) Momentum Scale Estimation Using Maximum Likelihood Template Fitting by Yu Zeng Department of Statistics Duke University Date:

In this paper, we determine completely the initial Fitting ideal of the minus part of the ideal class group of an abelian number field over Q up to the 2-component. This answers an open question of Mazur and Wiles [11] up to the 2-component, and proves Conjecture 0.1 in [8]. We also study Brumer’s conjecture and prove a stronger version for a CM-field, assuming certain conditions, in particular...