Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Agama, Theophilus"'
Autor:
Gensel, Berndt, Agama, Theophilus
In this paper, we further develop the theory of circles of partition by introducing the notion of complex circles of partition. This work generalizes the classical framework, extending from subsets of the natural numbers as base sets to partitions de
Externí odkaz:
http://arxiv.org/abs/2304.13371
Autor:
Agama, Theophilus
In this note, we prove some new inequalities. To facilitate this proof, we introduce the notion of the local product on a sheet and associated space.
Comment: 6 pages; revised; this note introduced the notion of the local product on a sheet and
Comment: 6 pages; revised; this note introduced the notion of the local product on a sheet and
Externí odkaz:
http://arxiv.org/abs/2212.00071
Autor:
Agama, Theophilus
In this note we study the flint hill series of the form \begin{align} \sum \limits_{n=1}^{\infty}\frac{1}{(\sin^2n) n^3}\nonumber \end{align}via a certain method. The method works essentially by erecting certain pillars sufficiently close to the term
Externí odkaz:
http://arxiv.org/abs/2109.00295
Autor:
Agama, Theophilus
In this paper, we develop some new classes of methods to study the Scholz conjecture on addition chains. It turns out that the exponents of numbers of the form $2^n-1$ largely determine the length of the shortest addition chain for number producing $
Externí odkaz:
http://arxiv.org/abs/2108.07720
Autor:
Agama, Theophilus
In this paper we show that the number of points that can be placed in the grid $n\times n\times \cdots \times n~(d~times)=n^d$ for all $d\in \mathbb{N}$ with $d\geq 2$ such that no three points are collinear satisfies the lower bound \begin{align} \g
Externí odkaz:
http://arxiv.org/abs/2106.15621
Autor:
Agama, Theophilus
In this paper we give alternate proofs of some well-known matrix inequalities. In particular, we show that under certain conditions the inequality holds \begin{align}\sum \limits_{\lambda_i\in \mathrm{Spec}(ab^{T})}\mathrm{min}\{\log |t-\lambda_i|\}_
Externí odkaz:
http://arxiv.org/abs/2107.05360
Autor:
Agama, Theophilus
Motivated by Gilbreath's conjecture, we develop the notion of the gap sequence induced by any sequence of numbers. We introduce the notion of the path and associated circuits induced by an originator and study the conjecture via the notion of the tra
Externí odkaz:
http://arxiv.org/abs/2104.05258
Autor:
Agama, Theophilus
Publikováno v:
Int. J. Pur. and App. Math. Res. 1(1) (2021) 1-7
In this paper we introduce and develop the notion of simple close curve magnetization. We provide an application to Bellman's lost in the forest problem assuming special geometric conditions between the hiker and the boundary of the forest.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/2101.00120
Autor:
Agama, Theophilus, Gensel, Berndt
In this paper we introduce and develop the circle embedding method. This method hinges essentially on a Combinatorial structure which we choose to call circles of partition. We provide applications in the context of problems relating to deciding on t
Externí odkaz:
http://arxiv.org/abs/2012.01329
Autor:
Agama, Theophilus
Motivated by the Pierce-Birkhoff conjecture, we launch an extension program for single variable expansivity theory. We study this notion under tuples of polynomials belonging to the ring $\mathbb{R}[x_1,x_2,\ldots,x_n]$. As an application we develop
Externí odkaz:
http://arxiv.org/abs/2011.03523