We study the continuum field theory for an ensemble of directed polymers ri(t) in 1+d ′ dimensions that live in a medium with quenched point disorder and interact via short-ranged pair forces gΨ(ri − rj). In the strong-disorder (or low-temperature) regime, such forces are found to be relevant in any dimension d′ below the upper critical dimension for a single line. Attractive forces generate a ...

A topological sigma model based on the pure spinor formalism was recently proposed for the small radius limit of the AdS5 × S 5 superstring. Physical states in this model can be constructed by connecting holes on the worldsheet with Wilson lines of the worldsheet gauge field. The contribution of these states to the topological amplitude is claimed to reproduce the usual Feynman diagram expansio...

Alternative hosts increase the difficulty of disease management in crops because these alternate hosts provide additional sources of primary inoculum or refuges for diversity in the pathogen gene pool. Agropyron cristatum (crested wheatgrass), Bromus inermis (smooth bromegrass), Pascopyrum smithii (western wheatgrass), Stipa viridula (green needlegrass), and Thinopyrum intermedium (intermediate...

Graphs are the central objects to study during our course. The concept of graphs is simple but it has found very wide application. It can be used to model many real-world networks, such as the internet. This is a “pure mathematics” module, and hence we will focus on the mathematical theory of graphs, rather than on the applications. Informally, a graph is a collection of points (called “vertice...

The luminescence process for proto-objects moving with a peculiar velocity at high redshift is considered. It is shown that some primordial molecules could produce low-frequency photons (which correspond to the rotational lines) by decaying high-frequency rovibration photons from the CBR. Due to the rather different numbers of these photons, a huge enhancement (relative to the pure reflection m...

A method is presented by which pure absorption spectra can be derived from spin echoes with a symmetric envelope amplitude, but with arbitrary phases 4 in the centers of the echoes. It is shown that without any phase correction, absorption spectra can be obtained in which the amplitudes of the spectral lines are either proportional to cos 4 or sin (b. or independent of q%. As an example a T2 me...

This third volume of the Reports of the Edinburgh Laboratory fully keeps up the high reputation of the two preceding ones. The papers cover a good deal of ground, being on widely different subjects; so that there is matter here for all members of the profession, with whatever branch of it they may be especially concerned?whether with medicine, obstetrics, bacteriology, physiology, or morbid ana...

We have synthesized graphene oxide (GO) nanosheets using modified Hummer's method and conjugated it with doxorubicin (DOx), an anticancer drug. Drug release kinetics from GO-DOx conjugate indicated the drug release at acidic pH. MTT assay performed on FaDu hypopharyngeal cancer cell lines revealed that the GO-DOx nanoconjugate inhibited cell proliferation more efficiently compared with pure DOx...

These lines from the Dhammapada(Babbitt, 1936) reflect the basic dichotomy in Abhidhamma, the classical Buddhist psychology, between pure (wholesome' or healthy) and impure ('unwholesome' or unhealthy) properties. In this system the factors which compose one's mental states from moment to moment determine one's mental health." The list of healthy factors represents a transpersonal model for men...

In this note a very crude but simple approximation to the set of separable states in an arbitrary simplex of commutative states is given using the fact that on the lines connecting the maximally mixed state and an arbitrary pure state the positivity of the partial transpose is both necessary and sufficient condition for separability of states. The lower limit to the volume of separable states i...