The aim of this project is to research the possibilities of applying unsupervised learning techniques for natural language and other sequential data to undeciphered texts and manuscripts. The undeciphered text used is the Voynich Manuscript, a mysterious book from the 15th or 16th century that is written in an unknown script. Some methods that could be applied to manuscripts such as these will ...

Introduction 2 1. The Group Law on Pell Conics and Elliptic Curves 2 1.1. Group Law on Conics 2 1.2. Group Law on Elliptic curves 3 2. The Group Structure 3 2.1. Finite Fields 3 2.2. p-adic Numbers 3 2.3. Integral and Rational Points 4 3. Applications 4 3.1. Primality Tests 4 3.2. Factorization Methods 5 4. 2-Descent 5 4.1. Selmer and Tate-Shafarevich Group 5 4.2. Heights 6 5. Analytic Methods ...

Based upon new global class field concepts leading to two-dimensional global Langlands correspondences, a modular representation of cusp forms is proposed in terms of global elliptic bisemimodules which are (truncated) Fourier series over R . As application, the conjectures of Shimura-Taniyama-Weil, Birch-Swinnerton-Dyer and Riemann are analyzed.

In this manuscript, we prove some coupled fixed point theorems for two pairs of self mappings satisfying contractive conditions of integral type in generalized metric spaces. We furnish suitable illustrative examples. In this manuscript, we prove some coupled fixed point theorems for two pairs of self mappings satisfying contractive conditions of integral type in generalized metric spaces. We f...

nameh-ye_khosravan is a work of jalal al-din mirza, son of fath ali shah qajar, which was written during the reign of naser al-din shah qajar. in accordance to this era’s way of thinking, the illustrated manuscript of the nameh-ye khosravan is characteristically written in persian script, the arabic words and vocabularies are removed from it and the kings of the pre-islamic era of iran are illu...

in this manuscript, we prove some coupled fixed point theoremsfor two pairs of self mappings satisfying contractive conditions of integraltype in generalized metric spaces. we furnish suitable illustrative examples.in this manuscript, we prove some coupled fixed point theoremsfor two pairs of self mappings satisfying contractive conditions of integraltype in generalized metric spaces. we furnis...

today, journals are trying to improve their rankings both at local and international scales. achievement of the journal relies heavily on our ability to publish articles in scientific journals with the highest quality. in this regard, high quality manuscript review plays an important role in supporting editors-in-chief an d executive s to choose the most relevant papers and also helping authors...

The Voynich Manuscript is a document written in an unknown language or cipher. This research proposal presents an idea into determining possible relationships within the Voynich. This is to be performed through known statistical methods relating to linguistics. The document reviews previous research carried out by other researchers. The proposed method is given and shows the current results obt...