General Mathematics

1806 Submissions

[9] viXra:1806.0460 [pdf] submitted on 2018-06-29 08:19:41

Calculus as an Example of Scientific Mathematics

Authors: Timothy W. Jones
Comments: 9 Pages.

We develop calculus from an experimental perspective. Using results from geometry and algebra, we generalize to other functions as a speculative act. Eventually formulas are created. This sequence reverses the usual hard things first approach of contemporary calculus text books.
Category: General Mathematics

[8] viXra:1806.0431 [pdf] submitted on 2018-06-29 03:16:29

The Majority Rule and Combinatorial Geometry (Via the Symmetric Group)

Authors: Thinh Nguyen
Comments: 0 Pages.

The Marquis du Condorcet recognized 200 years ago that majority rule can produce intransitive group preferences if the domain of possible (transitive) individual preference orders is unrestricted. We present results on the cardinality and structure of those maximal sets of permutations for which majority rule produces transitive results (consistent sets). Consistent sets that contain a maximal chain in the Weak Bruhat Order inherit from it an upper semimodular sublattice structure. They are intrinsically related to a special class of hamiltonian graphs called persistent graphs. These graphs in turn have a clean geometric interpretation: they are precisely visibility graphs of staircase polygons. We highlight the main tools used to prove these connections and indicate possible social choice and computational research directions.
Category: General Mathematics

[7] viXra:1806.0339 [pdf] submitted on 2018-06-22 06:21:33

Some Remarks on the Clique Problem

Authors: Thinh Nguyen
Comments: 3 Pages.

We survey some information about the clique problem - one of the cornerstone of the field of research in theory of algorithms. A short note at the end of the paper should be read with care on the reader’s own.
Category: General Mathematics

[6] viXra:1806.0222 [pdf] submitted on 2018-06-19 08:52:17

Question 472: Some Series

Authors: Edgar Valdebenito
Comments: 8 Pages.

This note presents some numerical series
Category: General Mathematics

[5] viXra:1806.0220 [pdf] submitted on 2018-06-19 08:54:52

Question 471: The Ramanujan Identity

Authors: Edgar Valdebenito
Comments: 1 Page.

In this note we recall an identity given by Ramanujan.
Category: General Mathematics

[4] viXra:1806.0214 [pdf] submitted on 2018-06-19 12:56:04

Investigations on the Nature of General Solutions

Authors: Fenasi Kerim
Comments: 2 Pages.

In this paper I am proposing that we should find the general solution for every conceivable problem and how we can achieve such a triumph in mathematics.
Category: General Mathematics

[3] viXra:1806.0131 [pdf] submitted on 2018-06-11 00:38:50

Refutation of Collatz Conjecture © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III
Comments: 2 Pages. © Copyright 2018 by Colin James III All rights reserved. Note that comments on Disqus are not forwarded or read, so respond to author's email address: info@cec-services dot com.

The Collatz conjecture is not tautologous, and hence refuted, but results in non-contingency (truthity).
Category: General Mathematics

[2] viXra:1806.0121 [pdf] submitted on 2018-06-09 09:03:57

Collatz Conjecture is False if 0 is Natural Number

Authors: 김만욱
Comments: 1 Page. english is too hard

I showed Collatz conjecture is false if 0 is natural number
Category: General Mathematics

[1] viXra:1806.0063 [pdf] submitted on 2018-06-05 08:39:08

Question 468: a Simple Identity for pi

Authors: Edgar Valdebenito
Comments: 1 Page.

This note presents a trivial formula for pi: pi=3.14159265...
Category: General Mathematics