Braided differential operators ∂ are obtained by differentiating the addition law on the braided covector spaces introduced previously (such as the braided addition law on the quantum plane). These are affiliated to a Yang-Baxter matrix R. The quantum eigenfunctions expR(x|v) of the ∂ i (braided-plane waves) are introduced in the free case where the position components xi are totally noncommuti...

JOHN L. WEST, The Taylors of Lancashire, Manchester, [the author], 1977, 8vo, pp. 134, illus., £1.50 + postage (paperback). (Obtainable from: 11 Half Edge Lane, Eccles, Manchester). An excellent account of a remarkable medical family, based on extensive research into manuscript and printed sources. It extended over six or seven generations, from James Taylor (1708/10-1777) of Whitworth to Herbe...

In this paper, the solution to Fuzzy sequential Fractional Initial Value Problem [FFIVP] under Caputo type fuzzy fractional derivatives by a modified fractional Euler method is presented. The Caputo-type fuzzy fractional derivatives are defined based on Hukuhara difference and strongly generalized fuzzy differentiability. The modified fractional Euler method based on a generalized Taylors formu...

This guide to the neurological disorder cerebral autosomal dominant arteriopathy with subcortical infarcts and leuco encephalopathy (CADASIL) is specifically targeted at psychiatrists. The aims are to enhance awareness, provide educational clinical information and offer practical guidance on management of the disorder. An overview of diagnostic algorithms and recent research is also provided. M...

We present a one-way dissection formulation of high-order compact scheme for the solution of 2D Poisson equation. One-way dissection is a type of matrix reordering, divide and conquers procedure. Efficient and concise compact schemes of 4th and 6th orders are derived using the truncation errors of the Taylors’ series expansion of the governing equation. The system is split into sub-domains and ...

JOHN L. WEST, The Taylors of Lancashire, Manchester, [the author], 1977, 8vo, pp. 134, illus., £1.50 + postage (paperback). (Obtainable from: 11 Half Edge Lane, Eccles, Manchester). An excellent account of a remarkable medical family, based on extensive research into manuscript and printed sources. It extended over six or seven generations, from James Taylor (1708/10-1777) of Whitworth to Herbe...

to demonstrate more visibly the close relation between thecontinuity and integrability, a new proof for the banach-zareckitheorem is presented on the basis of the radon-nikodym theoremwhich emphasizes on measure-type properties of the lebesgueintegral. the banach-zarecki theorem says that a real-valuedfunction $f$ is absolutely continuous on a finite closed intervalif and only if it is continuo...

In neurological circles today the name James Taylor (1859-1946) is probably remembered mainly for his role in editing the Selected Writings of John Hughlings Jackson, the most readily available source of Jackson's contributions to neurological knowledge. Taylors' own neurological achievements are largely or entirely forgotten, but in his day he was an influential figure whose career linked the ...