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 ...

BACKGROUND Writing a scientific manuscript is an important component of academic medicine. For most novice writers, this task may seem quite formidable. DISCUSSION This article will review the basic processes of writing a manuscript, with emphasis on the proper structure and organization of the article. The likelihood of a manuscript being accepted is highly dependent on its content and struc...

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.

Three cases who underwent surgery in different areas of the craniofacial region were reported with bradycardia developing intraoperatively during flap traction. Many cases of the oculocardiac reflex during treatment of the orbital region have been reported in the literature. This manuscript recorded that reflex bradycardia can occur during traction or stretching of any structure innervated...

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...