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| viXra.org > General Mathematics > 2204 |
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[8] viXra:2204.0117 [pdf] submitted on 2022-04-20 20:35:01
Authors: Chinnaraji Annamalai
Comments: 1 Page.
This paper presents the summations and sums of Single terms and successive terms of geometric series with negative exponents (negative powers). This will be useful for the researchers who are involving to solve the scientific problems.
Category: General Mathematics
[7] viXra:2204.0114 [pdf] submitted on 2022-04-19 05:33:41
Authors: N. Shunmugapriya
Comments: 7 Pages.
Let G = (V, E) be a simple connected graph.A set S ⊂ V is a
dominating set of G if every vertex in V \S is adjacent to some vertex
in S. The domination number γ(G) of G is the minimum cardinality
taken over all dominating sets of G. An edge cycle graph of a graph G
is the graph G(Ck) formed from one copy of G and |E(G)| copies
of Pk, where the ends of the i
th edge are identified with the ends of
i
th copy of Pk. In this paper, we investigate the domination number
of G(Ck), k ≥ 3.
Category: General Mathematics
[6] viXra:2204.0102 [pdf] submitted on 2022-04-17 03:17:55
Authors: Chinnaraji Annamalai
Comments: 2 Pages.
This paper presents the summations of separate terms and successive terms of geometric series. This will be useful for the researchers who are involving to solve the scientific problems.
Category: General Mathematics
[5] viXra:2204.0081 [pdf] replaced on 2022-09-30 01:17:22
Authors: Marcelo Ferreira Lima Carvalho
Comments: 15 Pages.
We examine the concept of $K-$continuity of a functor from two perspectives: one considering $K-$continuity as given in some formulations of Shape theory and the other as a restriction of the usual definition of the continuity of a functor. We show that under a certain condition the concept of $K-$continuity from Shape theory includes the concept of $K-$continuity arising from the usual definition of continuity.
Category: General Mathematics
[4] viXra:2204.0059 [pdf] replaced on 2022-04-16 08:07:35
Authors: Timothy W. Jones
Comments: 14 Pages. Some readers suggested improvements.
This article develops three calculator programs for (1) exponential modeling, (2) solving systems of linear equations, and (3) displaying various types of functions encountered in high school algebra. We suggest that these calculator programs will engage students better than the pencil and paper approaches of the past, that topics covered will be retained better by students, and that teachers will find teaching the coding involved is rewarding. Calculator programs can revolutionize high school algebra; an evolution is needed.
Category: General Mathematics
[3] viXra:2204.0056 [pdf] replaced on 2023-03-12 00:26:08
Authors: Réjean Labrie
Comments: 5 Pages.
Apart from the Vandermonde identity there are very few other identities composed of a summation of products of binomial coefficients. Here are four new identities of this type to insert into our mathematical toolbox. An induction demonstration then formalizes these new formulas that highlight unsuspected properties of binomial coefficients.
Category: General Mathematics
[2] viXra:2204.0025 [pdf] submitted on 2022-04-05 15:08:45
Authors: Edgar Valdebenito
Comments: 6 Pages.
We study the integral: I=int(f(x),x=0..1),where f(x)=(arctan x)/((1+x)sqrt(x(1-x))).
Category: General Mathematics
[1] viXra:2204.0022 [pdf] replaced on 2022-10-28 00:51:32
Authors: Baoyuan Duan
Comments: 11pages. It is easily to verify, in long sequence, to finish adding x bits of 1 to head part, it need about 2.5x steps. The needing steps from two angles introduced in paper are contradictious(the other is smaller than 2.4207x).
Build a special identical equation, use its calculation characters to prove and search for solution of any odd converging to 1 equation through (*3+1)/2^k operation, and get a solution for this equation, which is exactly same with that got from calculating directly. Then give a specific example to verify it. Thus prove the Collatz Conjecture is true.Furthermore, analysis the even and odd sequences produced by iteration calculation during searching for solution, build a function model, prove it decreases progressively to 0, indicate that this kind of iteration calculation has determined direction, and gradually regularly converges.
Category: General Mathematics
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