This study is about normality of real numbers. In this study we will mainly look at the expansion of real numbers to any integer base b(b>1) and depending on that we will introduce the concept of normality. We will look ...

Communication and transfer of quantum information between two physically separated quantum systems – distributed quantum information processing (QIP), is one of the key steps towards scalable and networked quantum ...

In this thesis, we develop algorithms similar to the Gaussian elimination algorithm in symplectic and split orthogonal similitude groups. As an application to this algorithm, we compute the spinor norm for split ...

Two elements in a group $G$ are said to be in the same $z$-class or $z$-equivalent if their centralizers are conjugate in $G$. This is an equivalence relation on $G$ and provides a partition of $G$ into disjoint equivalence ...

This thesis deals with the problem of correspondence between semisimple algebraic groups defined over some base field 'k' and semisimple algebras with involutions over 'k'. This fundamental problem was first explored by ...

Predicting the various oceanic parameters responsible for air-sea coupling is crucial to understanding how the climate and weather systems can affect the ecosphere. One of the most important among these oceanic parameters ...