A Note on Phrase-Markers

A Note on Assymmetry in Phrase Structure Grammars

I n M a t t h e w s (1963) 1 several classes of g rammars are defined and their generat ive power determined. These g rammars are defined part ia l ly by the form of their rules and par t ia l ly by the form of the derivat ions of the sentences they generate. T h a t paper shows t h a t one-way g rammars and one-way d iscont inuous g rammars are equ iva len t to context-free g rammars as define...

A note on a phrase in Shakespeare's play King Lear: ‘A plague upon your epileptic visage’

In Shakespeare's play King Lear the word 'epileptic' appears (used in a derogatory manner). This is held to be the first appearance of the word in the English language (although we have found earlier English references to the word which Shakespeare may have read). Textual analysis of the lines following the use of 'epileptic' suggests that it is actually a reference to the pock-marks of syphili...

A note on vague graphs

In this paper, we introduce the notions of product vague graph, balanced product vague graph, irregularity and total irregularity of any irregular vague graphs and some results are presented. Also, density and balanced irregular vague graphs are discussed and some of their properties are established. Finally we give an application of vague digraphs.

A note on lifting projections

Suppose $pi:mathcal{A}rightarrow mathcal{B}$ is a surjective unital $ast$-homomorphism between C*-algebras $mathcal{A}$ and $mathcal{B}$, and $0leq aleq1$ with $ain  mathcal{A}$. We give a sufficient condition that ensures there is a proection $pin mathcal{A}$ such that $pi left( pright) =pi left( aright) $. An easy consequence is a result of [L. G. Brown and G. k. Pedersen, C*-algebras of real...

A Note on Finsler Modules