Speech recognition has received a less attention in Bengali literature due to the lack of a comprehensive dataset. In this paper, we describe the development process of the first comprehensive Bengali speech dataset on real numbers. It comprehends all the possible words that may arise in uttering any Bengali real number. The corpus has ten speakers from the different regions of Bengali native p...

In this paper a set of de nitions describing general real number representation sys tems is presented Our purpose is to nd a su ciently wide model de nition including classical systems signed digit notation linear numeration systems p adic numbers symmetric level index arithmetic but speci c enough to make it possible to build some practical results We focuse on the redundancy property and the ...

Let $K$ be a totally real number field of degree $n \geq 2$. The inverse different gives rise to lattice in $\mathbb{R}^n$. We prove that the space Schwartz Fourier eigenfunctions on $\mathbb{R}^n$ which vanish “component-wise square root” this lattice, is infinite dimensional. non-uniqueness set thus obtained discrete subset union all spheres $\sqrt{m}S^{n-1}$ for integers $m 0$ and, as \right...