Community Member Preprints

PREPRINT: The Interpretation of Total Differentials in Multivariable Derivatives

Jonathan Bartlett — Thu, 31 Dec 2020 16:48:30 +0000

This article covers multivariable total differentials.

PREPRINT: The Products of Hyperreal Series and the Limitations of Cauchy Products

Jonathan Bartlett — Sat, 09 Jan 2021 18:59:44 +0000

This is now officially published here.

PREPRINT: Riemann's Rearrangement Theorem in the Light of Hyperreal Numbers

Jonathan Bartlett — Sat, 16 Jan 2021 18:11:45 +0000

Riemann's rearrangement theorem has long been used to demonstrate that conditionally convergent series do not establish a single, coherent value. The theorem states that by simply regrouping the members of a conditionally divergent series, that a person can make that series converge to essentially any real number, or to diverge. Here, we will show that the problems usually associated with the rearrangement theorem disappear when using hyperreal numbers.

PREPRINT: Proving the Conjecture (-1)^(infinity) = 0

Jonathan Bartlett, Asatur Zh Khurshudyan — Sat, 16 Jan 2021 18:42:00 +0000

The conjecture (-1)^infinity = 0 was given in a previous paper. This paper proves this conjecture.

PREPRINT: Grid Logic Java Program

Eric M Holloway — Fri, 17 Sep 2021 15:44:04 +0000

This program is a game to try to discover hidden patterns (and flaws in patterns) from data generated by simple logic functions. To run the program, download the Java file attached to this entry (upper right on the page), and save it as "GridLogicPuzzle.jar". Then, in the same folder you downloaded it to, run the following command from your command line:

java -jar GridLogicPuzzle.jar

This requires that you have Java installed. Use the help menu for how to work the puzzle and also for hints on the current puzzle.