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The Modeling of Chikungunya Using Lagrange Method and Lagrange Method by Matlab
Abdel Radi Abdel Rahman Abdel Gadir,
Subhi Abdalazim Aljily,
Neama Yahia Mohammed
Issue:
Volume 9, Issue 1, February 2021
Pages:
1-9
Received:
26 July 2020
Accepted:
5 December 2020
Published:
12 January 2021
Abstract: Chikungunya virus (CHIKV) is a mosquito-transmitted alphavirus that causes acute fever and acute and chronic musculoskeletal pain in humans, there is currently no vaccine, cure or specific treatment for Chikungunya. Chikungunya originated in Africa and has since spread across the entire globe causing large numbers of epidemics that have infected millions of people in Asia, Indian subcontinent, Europe, the Americas, and Pacific Islands. Adequate coordinated efforts comprising active surveillance, early detection, vector control and public awareness at local, national and international level need to be adopted in endemic areas for the effective control of Chikungunya virus infection. There is a risk that the virus will be imported to new areas by infected travelers. There is no vaccine to prevent or medicine to treat chikungunya virus infection. Travelers can protect themselves by preventing mosquito bites. The aims of this paper is to study Chikungunya virus and to illustrate the possibility of its modeling by Lagrange method using Matlab. Also we made modeling of results of tests for patients with Chikungunya numerically using Lagrange interpolating method and using Lagrange interpolating method by Matlab which is one of the most famous mathematical programs in the mathematical modeling of mathematical problems. We followed the numerical method and applied mathematical method using Matlab. We found that the modeling using Lagrange interpolating method by Matlab is more accuracy and speed than the numerical method were we explained this fact that we have reached in three figures which proves the aptitude the usage of Matlab in mathematical modeling.
Abstract: Chikungunya virus (CHIKV) is a mosquito-transmitted alphavirus that causes acute fever and acute and chronic musculoskeletal pain in humans, there is currently no vaccine, cure or specific treatment for Chikungunya. Chikungunya originated in Africa and has since spread across the entire globe causing large numbers of epidemics that have infected mi...
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Students' Conception on Multiple Integrals of a Function of Several Variables: A Case of Adama Science and Technology University
Eyasu Gemechu,
Amanuel Mogiso,
Yusuf Hussein,
Gedefa Adugna
Issue:
Volume 9, Issue 1, February 2021
Pages:
10-15
Received:
1 February 2021
Accepted:
11 March 2021
Published:
17 March 2021
Abstract: The study was conducted at Adama Science and Technology University to investigate students' conceptual understanding in learning Applied Mathematics II in general and multiple integrals in particular. A case study research design was employed on a Mechanical engineering group one student. This group was randomly selected through simple random sampling techniques. The number of students involved in this study was 50. Qualitative data were collected through reasoning part of the multiple choice items of the pre-test and interview items of the post-test were analyzed using APOS analysis based on proposed genetic decompositions. These tools were intended to investigate the conceptual understanding of students and the way they justify their answers. The study shows that the majority of the students' conception of multiple integrals could be categorized under action level whereas a few students were categorized under process conception. Students' conceptual understanding on multiple integrals of a function of two variables is a straight forward as that of a function of a single variable, which reveals that students have not developed a new schema for a function of two variables, as different from a function of a single variable. The majority of the respondents was poor at extending previous concepts to the new concept and had difficulty to represent multiple integrals using graph. Thus; the researchers recommended the utilization of an appropriate instructional approach in order to scaffold students' conceptual understanding of multiple integrals.
Abstract: The study was conducted at Adama Science and Technology University to investigate students' conceptual understanding in learning Applied Mathematics II in general and multiple integrals in particular. A case study research design was employed on a Mechanical engineering group one student. This group was randomly selected through simple random sampl...
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A Class of Generalized Operator Quasi-Equilibrium Problems
Abdul Raouf,
Rajesh Kumar Gupta,
Shivani Sharma
Issue:
Volume 9, Issue 1, February 2021
Pages:
16-19
Received:
24 January 2021
Accepted:
15 February 2021
Published:
26 March 2021
Abstract: In this work, introduce and study a generalized operator quasi-equilibrium problems (in short, OQEP) in the setting of topological vector spaces. We prove some new existence results for the solution of this problem by applying C(f)-quasiconvex, escaping sequence in Hausdörff topological vector spaces. The results of this paper can generalize and unify previously known corresponding results of this area.
Abstract: In this work, introduce and study a generalized operator quasi-equilibrium problems (in short, OQEP) in the setting of topological vector spaces. We prove some new existence results for the solution of this problem by applying C(f)-quasiconvex, escaping sequence in Hausdörff topological vector spaces. The results of this paper can generalize and un...
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Reviving the Sphinx by Means of Constants - Codes in a Creative Space
Issue:
Volume 9, Issue 1, February 2021
Pages:
20-30
Received:
2 March 2021
Accepted:
22 March 2021
Published:
30 March 2021
Abstract: This paper deals with ancient codes embedded in world famous artefacts like the Sphinx and pyramids on the plateau of Giza. The same spatial codes are to be found materialized in the most ancient processed gold on Earth – the treasure trove of Varna Necropolis (4600 – 4200 BC). Amazing is the match found between those two groups of artefacts, bearing in mind that the gold from Varna Necropolis is at least 2000 years older than the pyramids. But the prototype of their sacred measure – the so called royal cubit – emerges in the system of measures related to the famous Varna Necropolis. It is there that I have been able to identify the prototypes of universal constants like the Golden ratio and Pi. The synergy of those two constants is there for us to uncover – for instance Pi times the Golden ratio. It is the simplest one in an array of complex proportions which come into effect in regard to primeval gold artefacts as well as pyramids. Surprisingly, the synergy of Pi with an exotic variant of the Golden ratio allows for the inference of a specific number, which matches the Inverse Fine structure constant. For this inference the ratio between the Planck-length and the Light second will be a starting point. On the one hand is the minimum span in the Space-time continuum (the Planck length), and on the other hand - the distance covered by light in vacuum within one second of time (the Light second). The sacred measure of pyramids is the royal cubit comprised of 28 equal parts called “fingers”. The length of the Great Sphinx comprises 140 royal cubits. It can be viewed as a super-measure from which the sizes of the three main pyramids on the plateau of Giza obtain. Suppose we were to divide this super-measure (the Sphinx-length) in 28 equal parts by analogy with the royal cubit being divided in 28 fingers. The result would be a span of 5 royal cubits. I maintain that (the Planck-length) times (10 to the power of 35) times (the Golden ratio number) yields 5 royal cubits, slightly longer than 0.523 meters each. Wishing to get closer to the actual length of the Sphinx, we might as well use a variant of the Golden ratio – the square root of (13/8 x 21/13) whereby 8, 13, 21 are consecutive Fibonacci numbers.
Abstract: This paper deals with ancient codes embedded in world famous artefacts like the Sphinx and pyramids on the plateau of Giza. The same spatial codes are to be found materialized in the most ancient processed gold on Earth – the treasure trove of Varna Necropolis (4600 – 4200 BC). Amazing is the match found between those two groups of artefacts, beari...
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A Künneth Formula for the Embedded Homology
Issue:
Volume 9, Issue 1, February 2021
Pages:
31-37
Received:
8 March 2021
Accepted:
Published:
10 April 2021
Abstract: Hypergraph is an important model for complex networks. A hypergraph can be regarded as a virtual simplicial complex with some faces missing and it is the key hub to connect the simplicial complex in topology and graph in combinatorics. The embedded homology groups of hypergraphs are new developments in mathematics in recent years, and the embedded homology groups of hypergraphs can reflect the topological and geometric characteristics of complex network which can not be reflected by the associated simplicial complex of hypergraphs. Künneth formulas describe the homology or cohomology of a product space in terms of the homology or cohomology of the factors. In this paper, we prove that the infimum chain complex of tensor products of free R-modules generated by hypergraphs is isomorphic to the tensor product of their respective infimum chain complexes, and give an analogues of Künneth formula for hypergraphs by classical algebraic Künneth formula based on the embedded homology groups of hypergraphs, which provides a theoretical basis for further study of cohomology theory of hypergraphs. In fact, the Künneth formula here can be extended to the Künneth formula of embedded homology of graded abelian groups of chain complexes, which can be used to extend the Künneth formula for digraphs with coefficients in a field.
Abstract: Hypergraph is an important model for complex networks. A hypergraph can be regarded as a virtual simplicial complex with some faces missing and it is the key hub to connect the simplicial complex in topology and graph in combinatorics. The embedded homology groups of hypergraphs are new developments in mathematics in recent years, and the embedded ...
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