Existence of solution of impulsive Lipschitzian quantum stochastic differential equations (QSDEs) associated with the Kurzweil equations are introduced and studied. This is accomplished within the framework of the Hudson-Parthasarathy formulation of quantum stochastic calculus and the associated Kurzweil equations. Here again, the solutions of a QSDE are functions of bounded variation, that is ...

In Exponential Growth an Illusion?: Response to Ilkka Tuomi, Ray Kurzweil comments two of my papers that discuss the development of semiconductor and computing technology. Kurzweil used his response in his Accelerating Change Conference plenary keynote 14 September 2003, where we also had a debate on Kurzweil’s hypothesis. My latter paper was written as a background paper for the conference. Ku...

Wavelet transform and distributional wavelet transform are used to obtain the solution of few integral equations in this paper.

The analytic functions in tubes which obtain the distributional finite Fourier transform as boundary value are shown to have a strong boundedness property and to be recoverable as a Fourier-Laplace transform, a distributional finite Fourier transform, and as a Cauchy integral of a distribution associated with the boundary value.

Using assistive reading software may be a cost-effective way to increase the opportunity for independent learning in students with learning disabilities. However, the effectiveness and perception of assistive reading software has seldom been explored in English-as-a-second language students with learning disabilities. This research was designed to explore the perception and effect of using assi...

Four Fourier transforms are usually defined, the Integral Fourier transform, the Discrete-Time Fourier transform (DTFT), the Discrete Fourier transform (DFT) and the Integral Fourier transform for periodic functions. However, starting from their definitions, we show that all four Fourier transforms can be reduced to actually only one Fourier transform, the Fourier transform in the distributiona...

Non-compositional phrases such as red herring and weakly compositional phrases such as spelling bee are an integral part of natural language (Sag et al., 2002). They are also the phrases that are difficult, or even impossible, for good compositional distributional models of semantics. Compositionality detection therefore provides a good testbed for compositional methods. We compare an integrate...