This note studies the question of which number fields can arise as canonical components.

We present an approach to integrate multiple fMRI datasets in the context of predictive fMRI data analysis. The approach utilizes canonical correlation analysis (CCA) to find common dimensions among the different datasets, and it does not require that the multiple fMRI datasets be spatially normalized. We apply the approach to the task of predicting brain activations for unseen concrete-noun wo...

Reelin is a large secreted glycoprotein that is essential for correct neuronal positioning during neurodevelopment and is important for synaptic plasticity in the mature brain. Moreover, Reelin is expressed in many extraneuronal tissues; yet the roles of peripheral Reelin are largely unknown. In the brain, many of Reelin's functions are mediated by a molecular signaling cascade that involves tw...

We explicitly compare the structure of the renormalized stress-energy tensor of a massless scalar field in a ð1þ 1Þ curved spacetime as obtained by two different strategies: normal-mode construction of the field operator and one-loop effective action. We pay special attention to where and how the information related to the choice of vacuum state in both formalisms is encoded. By establishing a ...

We give a list of canonical equivalence relations on discrete nets of the positive unit sphere of c0. This generalizes results of W. T. Gowers [1] and A. D. Taylor [5].

We consider an inverse scattering problem and its near-field approximation at high frequencies. We first prove, for both problems, Lipschitz stability results for determining the low-frequency component of the potential. Then we show that, in the case of a radial potential supported sufficiently near the boundary, infinite resolution can be achieved from measurements of the near-field operator ...

In the refining industry, control room and field operators document their daily activities using shift logs. These logs are supposed to be an important part of the shift handover process and are the mechanism by which activities are coordinated across shifts. Previous research identified the need for a more structured approach to shift handover. However, the value of a structured approach has n...

The dynamics of fermionic unparticles is developed from first principles. It is shown that any unparticle, whether fermionic or bosonic, can be recast in terms of a canonically quantized field, but with non-local interaction terms. We further develop a possible gauge theory for fermionic unparticles. Computing the consequent contribution of un-fermions to the β function of the theory, it is sho...

We present a complete pretopology semantics for a system of Intuitionistic Linear Logic (commutative or not) where the storage operator is split into a contraction and a weakening component and then recovered again from them. The semantics for weakening and contraction has been explored by Bart Jacobs 13] in a categorical setting. However, a completeness theorem is not given in 13] and the appr...

Add a stage of signal acquisition to a canonical model of portfolio choice. Under fully revealing asset price, investors’ information demand reflects their choice of transparency. In reducing uncertainty, financial transparency raises expected asset price and thus benefits holders of the risky asset. At a natural transparency limit, however, investors pay to inhibit further disclosure in order ...