Composing and Factoring Generalized Green's Operators and Ordinary Boundary Problems

We consider solution operators of linear ordinary boundary problems with "too many" boundary conditions, which are not always solvable. These generalized Green's operators are a certain kind of generalized inverses of differential operators. We answer the question when the product of two generalized Green's operators is again a generalized Green's operator for the product of the corresponding differential operators and which boundary problem it solves. Moreover, we show that---provided a factorization of the underlying differential operator---a generalized boundary problem can be factored into lower order problems corresponding to a factorization of the respective Green's operators. We illustrate our results by examples using the Maple package IntDiffOp, where the presented algorithms are implemented.Comment: 19 page

Recommendations and comments concerning documentation on the microwave active spectrometer systems

There are no author-identified significant results in this report

Regaining Motor Control in Musician's Dystonia by Restoring Sensorimotor Organization

Professional musicians are an excellent human model of long term effects of skilled motor training on the structure and function of the motor system. However, such effects are accompanied by an increased risk of developing motor abnormalities, in particular musician's dystonia. Previously we found that there was an expanded spatial integration of proprioceptive input into the hand area of motor cortex (sensorimotor organisation, SMO) in healthy musicians as tested with a transcranial magnetic stimulation (TMS) paradigm. In musician's dystonia, this expansion was even larger, resulting in a complete lack of somatotopic organisation. We hypothesised that the disordered motor control in musician's dystonia is a consequence of the disordered SMO. In the present paper we test this idea by giving pianists with musician's dystonia 15 min experience of a modified proprioceptive training task. This restored SMO towards that seen in healthy pianists. Crucially, motor control of the affected task improved significantly and objectively as measured with a MIDI piano, and the amount of behavioural improvement was significantly correlated to the degree of sensorimotor re-organisation. In healthy pianists and non-musicians, the SMO and motor performance remained essentially unchanged. These findings suggest a link between the differentiation of SMO in the hand motor cortex and the degree of motor control of intensively practiced tasks in highly skilled individuals

To Hold the World in Contempt : The British Empire, War, and the Irish and Indian Nationalist Press, 1899-1914

The era between the close of the nineteenth century and the onset of the First World War witnessed a marked increase in radical agitation among Indian and Irish nationalists. The most outspoken political leaders of the day founded a series of widely circulated newspapers in India and Ireland, placing these editors in the enviable position of both reporting and creating the news. Nationalist journalists were in the vanguard of those pressing vocally for an independent India and Ireland, and together constituted an increasingly problematic contingent for the British Empire. The advanced-nationalist press in Ireland and the nationalist press in India took the lead in facilitating the exchange of provocative ideas—raising awareness of perceived imperial injustices, offering strategic advice, and cementing international solidarity. Irish and Indian press coverage of Britain’s imperial wars constituted one of the premier weapons in the nationalists’ arsenal, permitting them to build support for their ideology and forward their agenda in a manner both rapid and definitive. Directing their readers’ attention to conflicts overseas proved instructive in how the Empire dealt with those who resisted its policies, and also showcased how it conducted its affairs with its allies. As such, critical press coverage of the Boxer Rebellion, Boer War, Russo-Japanese War, and World War I bred disaffection for the Empire, while attempts by the Empire to suppress the critiques further alienated the public. This dissertation offers the first comparative analysis of the major nationalist press organs in India and Ireland, using the prism of war to illustrate the increasingly persuasive role of the press in promoting resistance to the Empire. It focuses on how the leading Indian and Irish editors not only fostered a nationalist agenda within their own countries, but also worked in concert to construct a global anti-imperialist platform. By highlighting the anti-imperial rhetoric of the nationalist press in India and Ireland and illuminating their strategies for attaining self-government, this study deepens understanding of the seeds of nationalism, making a contribution to comparative imperial scholarship, and demonstrating the power of the media to alter imperial dynamics and effect political change

Ising pyrochlore magnets: Low temperature properties, ice rules and beyond

Pyrochlore magnets are candidates for spin-ice behavior. We present theoretical simulations of relevance for the pyrochlore family R2Ti2O7 (R= rare earth) supported by magnetothermal measurements on selected systems. By considering long ranged dipole-dipole as well as short-ranged superexchange interactions we get three distinct behaviours: (i) an ordered doubly degenerate state, (ii) a highly disordered state with a broad transition to paramagnetism, (iii) a partially ordered state with a sharp transition to paramagnetism. Thus these competing interactions can induce behaviour very different from conventional ``spin ice''. Closely corresponding behaviour is seen in the real compounds---in particular Ho2Ti2O7 corresponds to case (iii) which has not been discussed before, rather than (ii) as suggested earlier.Comment: 5 pages revtex, 4 figures; some revisions, additional data, additional co-authors and a changed title. Basic ideas of paper remain the same but those who downloaded the original version are requested to get this more complete versio

Scatterometer receiver dynamic range/linearity

Results of an investigation aimed at determining the dynamic range and linearity of the S-193 scatterometer receiver from data acquired during Skylab missions 2 and 3 are summarized

Analysis of Jovian decametric data: Study of radio emission mechanisms

The Voyager 1 and Voyager 2 Planetary Radio Astronomy Experiments (PRA) have produced the finest set of Jovian decametric radio emission data ever obtained. Jovian decametric L-burst and S-burst arcs were characterized and the data reconciled with models for the radio emission geometry and mechanisms. The first major results involve comparisons of the distribution of arc separations with longitudes. The identification and analyses of systematic variations in the PRA data have yielded interesting results, but only the most obvious features of the data were examined. Analyses of the PRA data were extended with the use of new 6-Sec formats that are more sensitive to the S-bursts