http://45.33.0.129/ojs/index.php/preprint/issue/feed 2021-09-17T15:52:55+00:00 Jonathan Bartlett jonathan.bartlett@blythinstitute.org Open Journal Systems <p>This is our Blyth Institute Community Member preprint service.&nbsp; Blyth Institute Community members can post preprints to this service for free.</p> http://45.33.0.129/ojs/index.php/preprint/article/view/85 2021-09-17T15:49:33+00:00 Jonathan Bartlett author@blythinstitute.org

<p>This article covers multivariable total differentials.</p>

2020-12-31T16:48:30+00:00 ##submission.copyrightStatement## http://45.33.0.129/ojs/index.php/preprint/article/view/86 2021-09-17T15:50:50+00:00 Jonathan Bartlett author@blythinstitute.org

<div class="page" title="Page 5"> <div class="layoutArea"> <div class="column"> <p>This is now officially published <a href="https://journals.blythinstitute.org/ojs/index.php/cbi/article/view/93">here</a>.</p> </div> </div> </div>

2021-01-09T18:59:44+00:00 ##submission.copyrightStatement## http://45.33.0.129/ojs/index.php/preprint/article/view/87 2021-09-17T15:52:11+00:00 Jonathan Bartlett author@blythinstitute.org

<p class="p1"><span class="s1">Riemann's rearrangement theorem has long been used to demonstrate that conditionally convergent series do not establish a single, coherent value.&nbsp;</span><span class="s1">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.&nbsp;</span><span class="s1">Here, we will show that the problems usually associated with the rearrangement theorem disappear when using hyperreal numbers.</span></p>

2021-01-16T18:11:45+00:00 ##submission.copyrightStatement## http://45.33.0.129/ojs/index.php/preprint/article/view/88 2021-09-17T15:52:40+00:00 Jonathan Bartlett author@blythinstitute.org Asatur Zh Khurshudyan author@blythinstitute.org

<p>The conjecture (-1)^infinity = 0 was given in a previous paper.&nbsp; This paper proves this conjecture.</p>

2021-01-16T18:42:00+00:00 ##submission.copyrightStatement## http://45.33.0.129/ojs/index.php/preprint/article/view/96 2021-09-17T15:52:55+00:00 Eric M Holloway author@blythinstitute.org

<p>This program is a game to try to discover hidden patterns (and flaws in patterns) from data generated by simple logic functions.&nbsp; To run the program, download the Java file attached to this entry (upper right on the page), and save it as "GridLogicPuzzle.jar".&nbsp; &nbsp;Then, in the same folder you downloaded it to, run the following command from your command line:</p> <p>java -jar GridLogicPuzzle.jar</p> <p>This requires that you have Java installed.&nbsp; Use the help menu for how to work the puzzle and also for hints on the current puzzle.</p>

2021-09-17T15:44:04+00:00 ##submission.copyrightStatement##