https://journals.blythinstitute.org/ojs/index.php/preprint/issue/feedCommunity Member Preprints2021-09-17T15:52:55+00:00Jonathan Bartlettjonathan.bartlett@blythinstitute.orgOpen Journal Systems<p>This is our Blyth Institute Community Member preprint service. Blyth Institute Community members can post preprints to this service for free.</p>https://journals.blythinstitute.org/ojs/index.php/preprint/article/view/85PREPRINT: The Interpretation of Total Differentials in Multivariable Derivatives2021-09-17T15:49:33+00:00Jonathan Bartlettauthor@blythinstitute.org<p>This article covers multivariable total differentials.</p>2020-12-31T16:48:30+00:00##submission.copyrightStatement##https://journals.blythinstitute.org/ojs/index.php/preprint/article/view/86PREPRINT: The Products of Hyperreal Series and the Limitations of Cauchy Products2021-09-17T15:50:50+00:00Jonathan Bartlettauthor@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##https://journals.blythinstitute.org/ojs/index.php/preprint/article/view/87PREPRINT: Riemann's Rearrangement Theorem in the Light of Hyperreal Numbers2021-09-17T15:52:11+00:00Jonathan Bartlettauthor@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. </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. </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##https://journals.blythinstitute.org/ojs/index.php/preprint/article/view/88PREPRINT: Proving the Conjecture (-1)^(infinity) = 02021-09-17T15:52:40+00:00Jonathan Bartlettauthor@blythinstitute.orgAsatur Zh Khurshudyanauthor@blythinstitute.org<p>The conjecture (-1)^infinity = 0 was given in a previous paper. This paper proves this conjecture.</p>2021-01-16T18:42:00+00:00##submission.copyrightStatement##https://journals.blythinstitute.org/ojs/index.php/preprint/article/view/96PREPRINT: Grid Logic Java Program2021-09-17T15:52:55+00:00Eric M Hollowayauthor@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. 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:</p> <p>java -jar GridLogicPuzzle.jar</p> <p>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.</p>2021-09-17T15:44:04+00:00##submission.copyrightStatement##