Open AccessLimit theorems for Floyd's triangle: a new approach to not a new problem
Author(s) -
Igoris Belovas
Publication year - 2021
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2021.25222
Subject(s) - limit (mathematics) , disk formatting , object (grammar) , mathematics , computer science , calculus (dental) , discrete mathematics , theoretical computer science , algebra over a field , pure mathematics , artificial intelligence , mathematical analysis , medicine , dentistry , operating system
Floyd's triangle is often presented to computer science students as an exercise or example to illustrate the concepts of text formatting and loop constructs. The paper proposes to look at an object from a different angle and to examine limit theorems for the numbers of generalized Floyd's triangles. Tasks of this type can be used as exercises in study programs of mathematics and informatics (couses of probability theory and combinatorics). It would help to master the appropriate proof techniques and mathematical apparatus. The article proposes a series of possible problems and their proof schemes.