In mathematics, a rational number is any number that can be expressed as the quotient
or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q
may be equal to 1, every integer is a rational number. The set of all rational numbers,
often referred to as ”the rationals”, is usually denoted by a boldface Q (or blackboard
bold , Unicode ); it was thus denoted in 1895 by Giuseppe Peano after quoziente, Italian
for ”quotient”. The decimal expansion of a rational number always either terminates
after a finite number of digits or begins to repeat the same finite sequence of digits over
and over. Moreover, any repeating or terminating decimal represents a rational number.
These statements hold true not just for base 10, but also for any other integer base (e.g.
binary, hexadecimal). A real number that is not rational is called irrational. Irrational
numbers include √2, , e, and . The decimal expansion of an irrational number continues
without repeating. Since the set of rational numbers is countable, and the set of real
numbers is uncountable, almost allreal numbers are irrational.
This LaTeX template provides a simple and clean starting point for writing: math articles, papers, essays, reports, homework assignments and lab reports, for example. Indeed, it is designed to be versatile and customizable, making it suitable for various academic and professional purposes.
Almost every line of the source code is explained for the reader to understand what is done every step of the way. Furthermore, this template provides a document layout that looks minimalistic but keeps the professional feel. In other words, it finds the right balance between looking good and being easy to use, so you'll enjoy writing with it without any hassle.
This template is not affiliated in any way with Universitat de Barcelona, as information and school logos can be easily customized. Should you have any questions, you can check the repo with the last version: https://github.com/mariovilar/Basic-Article-Template. Also, you can reach me via e-mail. Hope you find it useful!
This is an English-language template for students' essays and synopses based on GOST 7.32-2017. Originally prepared in accordance with the recommendations from the academic and teaching staff of ITMO University for students of technical and natural sciences.
The template is created for XeLaTeX compiler, and the bibliography is assembled by biber. The template works well in Overleaf, and it has been also tested on Windows 11 in combination MikTeX + TeXstudio.