let $r$ be a right artinian ring or a perfect commutative‎‎ring‎. ‎let $m$ be a noncosingular self-generator $sum$-lifting‎‎module‎. ‎then $m$ has a direct decomposition $m=oplus_{iin i} m_i$‎,‎where each $m_i$ is noetherian quasi-projective and each‎‎endomorphism ring $end(m_i)$ is local‎.

This document is a sample prepared to illustrate the use of the American Mathematical Society’s LTEX document class amsbook and publication-specific variants of that class.

We present a deep recurrent neural network model with soft visual attention that learns to generate LTEX markup of real-world math formulas from their images. Applying neural sequence generation techniques that have been very successful in the fields of machine translation and image/handwriting/speech captioning, recognition, transcription and synthesis; we construct an image-tomarkup model tha...

The standard distribution of LTEX contains a number of document styles that are meant to be used, but also serve as examples for other users to create their own document styles. These styles have become very popular among LTEX users. But it should be kept in mind that they were designed for American tastes and contain a number of hard-wired texts. This article describes a set of document-style ...

Most users who discover a LTEX to html translator such as HEVEA have the following expectation : getting a html-version of some document doc.tex, should be as simple as typing “hevea doc.tex”, provided “latex doc.tex” already works. And indeed, much of the work invested in the development of HEVEA aim at fulfilling this expectation. For instance, the design of HEVEA is much inspired by the desi...

Mathematical and scientific writing call for figures that accurately and attractively integrate typography and numerical data. Widely-used commercial and non-commercial drawing programs exist, as do dozens of lesser-known utilities. This article describes an addition to the list: ePiX, a collection of command line utilities for creating mathematically accurate, logically structured, camera-qual...

This article describes the use and implementation of LTEX-package struktex.sty for structured box charts (Nassi-Shneiderman charts).

GNU TEXmacs is a free wysiwyg word processor providing an excellent typesetting quality of texts and formulae. It can also be used as an interface to Computer Algebra Systems (CASs). In the present work, interfaces to three general-purpose CASs have been implemented. 1 TEXmacs GNU TEXmacs [1] is a free (GPL) word processor which • typesets texts and mathematical formulae with very high quality ...

It is difficult to write a new and original introductory book about LTEX today. The author must compete with a number of great books, including freely available ones like [1]. Some these books were written by the authors or primary developers of the language [2–5]. Still, people have been writing mathematics textbooks for several thousand years, and nevertheless new ones continue to be written....

For our project, we wanted to explore the problem of recognizing LTEX expressions and translating them to source using a deep neural network. Previous work involving attention models have improved sequence to sequence mappings and greatly helped in digit recognition. Inspired by these previous work, we implemented an attention model to recognize simple LTEX expressions and also tested it on a s...