We have investigated the nuclear density distributions in LaGaO3based perovskites, LaGaO3 (LG), (La0.9Sr0.1)GaO3(LSG), La(Ga0.9Mg0.1)O3(LGM), and (La0.8Sr0.2)(Ga0.8Mg0.15Co0.05)O3(LSGMC), to elucidate the ionic conduction path and disorder of oxide ions at elevated temperatures. Neutron diffraction data were collected in the temperature range from 26 to 1405oC in air, using a diffractometer HER...

Proof: We prove the lemma by the explicit construction of a graph. Consider a graph G consisting of d disjoint connected subgraphs denoted as Gj : j = 1, 2 . . . , d. Let the nodes in each subgraph have the same reward. The eigenvalues of the graph are {0, λ̂1, · · · , λ̂N−d}, where eigenvalue 0 is repeated d times. Note that the set of eigenvalues of the graph is the union of the set of eigenval...

2. Direct Adaptive Control of Scalar Plant. Let us begin with a simple scalar adaptive system, ẋp(t) = apxp(t) + kpu(t) (1) where xp(t) ∈ R is the plant state, u(t) ∈ R is the control input, ap ∈ R is an unknown scalar and only the sign of kp ∈ R is known. For the direct adaptive controller we choose a reference model as ẋm(t) = amxm(t) + kmr(t)− l(x(t)− xm(t)). (2) All of the parameter above a...

If the question of sensation or perception arises in a discussion of Hegel, the focus of the discussion is likely to be the opening chapters of the Phenomenology of Spirit of 1807. Such a focus is, however, a mistake. The examination of sense certainty and perception in the Phenomenology bears on the question of the proper categories to be applied within experience, but there is no discussion t...

This is an expository introduction, for a general mathematics audience, to the modeling of the fluid/solid phase transition and in particular to complications created by the discovery of quasicrystals. One goal is to elucidate certain features of the modeling which are ripe for mathematical investigation. * Research supported in part by NSF Grant DMS-1208941 The 2011 Nobel prize for chemistry w...

Section Editor of Acta Crystallographica Section F, Helmholtz-Zentrum Berlin für Materialien und Energie, Macromolecular Crystallography (BESSY-MX), Albert-Einstein-Strasse 15, D-12489 Berlin, Germany, Section Editor of Acta Crystallographica Section F, PO Box 6483, Lawrenceville, NJ 08648-0483, USA, Section Editor of Acta Crystallographica Section D, Past-President of the International Union o...

As we have shown, certain image-level objects and attributes make some images more specific than others. This means that specificity may be predictable using image features alone. To test this, a ν-SVR with an RBF kernel is trained on a randomly chosen subset of images represented by their DECAF-6 features [2] in the MEM-5S and PASCAL-50S datasets. In the ABSTRACT-50S dataset, the image feature...

Description of ESM included in this file: 1) Annotated sequence maps of the pSOS, pSOX, and pSOS-X vectors 2) A spreadsheet listing the genetic elements of the above vectors 3) Several tables indicating the outcome of our various optimization efforts 4) Expanded Materials and Methods covering those optimizations and other routine molecular biology steps