International Journal of Trend in Scientific Research and Development: Applied Mathematics

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Showing posts with label Applied Mathematics. Show all posts
Showing posts with label Applied Mathematics. Show all posts

Saturday 12 December 2020

Formulation of a Class of Standard Quadratic Congruence of Composite Modulus modulo Even Multiple of an Odd Prime

December 12, 2020 0
Formulation of a Class of Standard Quadratic Congruence of Composite Modulus modulo Even Multiple of an Odd Prime

The author here in this paper presented formulation of solutions of a class of standard quadratic congruence of composite modulus modulo an even multiple of an odd prime. The established formula is tested and verified true by solving various numerical examples. The formulation works well and proved time saving. Prof B M Roy "Formulation of a Class of Standard Quadratic Congruence of Composite Modulus modulo Even-Multiple of an Odd Prime"


 

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-1 , December 2020, 

URL: https://www.ijtsrd.com/papers/ijtsrd38228.pdf

Paper URL : https://www.ijtsrd.com/mathemetics/applied-mathematics/38228/formulation-of-a-class-of-standard-quadratic-congruence-of-composite-modulus-modulo-evenmultiple-of-an-odd-prime/prof-b-m-roy

callforpapermathematics, mathematicsjournal, ugcapprovedjournalsinmathemetics

Monday 7 December 2020

A Study on Power Mean Labeling of the Graphs and Vertex Odd Power Mean Labeling of Graphs

December 07, 2020 0
A Study on Power Mean Labeling of the Graphs and Vertex Odd Power Mean Labeling of Graphs

This paper we discuss with power mean labeling of graph and Vertex Odd Power Mean Labeling of Graphs. A graph = , is referred as Power Mean graph with , q , if it is feasible to label the vertices with different elements from 1, 2, 3, ..., 1 in such a way that when each edge = is labeled with f e=uv = f u f v f v f u 1 f u f v In this paper we define Vertex Odd Power Mean labeling and investigate the same for some graphs. We define Vertex Odd Power Mean labeling for the graph G V, E with vertices and q edges, if it is feasible to label the vertices with different labelings f from {1, 3, 5, ..., 2 –  1} in such a way that when each edge = is labeled with f e=uv = f u f v f v f u 1 f u f v or f e=uv = f u f v f v f u 1 f u f v and the edge labeling are distinct. The graph which admits the Vertex Odd Power Mean labeling, is called Vertex Odd Power Mean graph. 


by B. Kavitha | Dr. C. Vimala "A Study on Power Mean Labeling of the Graphs and Vertex Odd Power Mean Labeling of Graphs" 

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-1 , December 2020, 

URL: https://www.ijtsrd.com/papers/ijtsrd38116.pdf

Paper URL : https://www.ijtsrd.com/mathemetics/applied-mathematics/38116/a-study-on-power-mean-labeling-of-the-graphs-and-vertex-odd-power-mean-labeling-of-graphs/b-kavitha

callforpaperchemistry, chemistryjournal, openaccessjournalofchemistry 

Sunday 20 September 2020

Application of Arithmetic Progression in Equilateral Triangle as Mathematics Brain Teaser

September 20, 2020 0
Application of Arithmetic Progression in Equilateral Triangle as Mathematics Brain Teaser

In a classroom situation generally homogeneous teaching goes for heterogeneous groups of students. Mathematically gifted students always require some differentiated instruction from those of other students because they demonstrate an uneven pattern of mathematical understanding and development. Though they are endowed with high computation skills, problem solving strategies, inferential thinking skills, or deductive reasoning and are often able to discern answers with unusual speed and accuracy even smart enough in finding the inter relationships among and between ideas, topics, and concepts without the intervention of formal instruction specifically geared to that particular content, yet several factors never allow them to nourish their creativity as teachers are overloaded, non friendly mathematics curriculum, sometimes lack of parental support. To address this issue a mathematical brain teaser typically designed to stimulate cognitive processes and involves lateral logical thinking of those gifted students in order to solve the teaser for amusement even. Actually in a specially designed equilateral triangle Several equal number of intra parallel lines from each side of triangle with same distance between the parallels produces many triangles, parallelograms, trapeziums, rhombus, and regular hexagons. Gifted students may count those Geometrical figures faster than the others and those answers can be justified by using formulas developed by me. Those formulas are developed with the help of simple concept of arithmetic progression. It would help to develop and improve cognitive functions via logical reasoning of those gifted students. 

by Anunita Das "Application of Arithmetic Progression in Equilateral Triangle as Mathematics Brain Teaser" 

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-6 , October 2020, 

URL: https://www.ijtsrd.com/papers/ijtsrd33347.pdf

Paper Url: https://www.ijtsrd.com/mathemetics/applied-mathematics/33347/application-of-arithmetic-progression-in-equilateral-triangle-as-mathematics-brain-teaser/anunita-das

ugclistedjournals, indexedjournal, paperpublication

Saturday 19 September 2020

RP 56 Reformulation of Solutions of a Standard Quadratic Congruence of Composite Modulus An Eighth Multiple of a Product of Two Odd Primes

September 19, 2020 0
RP 56 Reformulation of Solutions of a Standard Quadratic Congruence of Composite Modulus An Eighth Multiple of a Product of Two Odd Primes

In this paper, the author considered a very general type of standard quadratic congruence of composite modulus an eighth multiple of product of two odd primes for reformulation of its solutions. The author’s first formulation was very simple but readers had to use many formulae for its solutions. Now the reformulation reduces the numbers of formulae for solutions. The discovered formula is justified and verified by using some required suitable numerical examples. The congruence is first time formulated. It is the merit of the paper. The existed method is complicated and time consuming. Now a time saving formulation is obtained. 

by Prof B M Roy "RP-56: Reformulation of Solutions of a Standard Quadratic Congruence of Composite Modulus- An Eighth Multiple of a Product of Two Odd Primes" 

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-6 , October 2020, 

URL: https://www.ijtsrd.com/papers/ijtsrd33407.pdf

Paper Url: https://www.ijtsrd.com/mathemetics/applied-mathematics/33407/rp56-reformulation-of-solutions-of-a-standard-quadratic-congruence-of-composite-modulus-an-eighth-multiple-of-a-product-of-two-odd-primes/prof-b-m-roy

callforpaperarts, artsjournal, peerreviewedjournal 

Sunday 14 June 2020

Learning of Advanced Mathematics by Chinese Liberal Arts Students A Study of Developing Applied Mathematical Ability

June 14, 2020 0
Learning of Advanced Mathematics by Chinese Liberal Arts Students A Study of Developing Applied Mathematical Ability

According to statistics, more than 90 of Chinese universities have offered advanced mathematics for liberal arts students as a general course since 2003 to cultivate their scientific literacy and problem solving ability. This study aims to provide a feasible approach for liberal arts students to accept the value of mathematics and apply mathematical methods to academic research and real world problems solution. In the Applied Probability and Statistics class with the attendance of 154 liberal arts freshmen, this study is designed to discuss and value on the five mathematics application reports as examples. Then liberal arts students were interviewed on evaluating these 5 mathematics application reports. 28 mathematics application reports were completed by 154 students in groups and cooperation, which were analyzed on how mathematics was incorporated into their reports. The qualitative analysis of the interview results found that the discussion and evaluation of these 5 mathematics application reports about applying mathematics and solving social problems can stimulate liberal arts students' interest in mathematics and realize the value of mathematics application. Therefore, peer mathematics application is a way for liberal arts students to realize mathematics value. Through the classification analysis of the 28 mathematics application reports completed by the liberal arts students, their three forms of mathematics application can be summarized as follows applying the regularity of mathematical argument instead of the special case of the practice test in social cognition using data analysis to monitor the probabilities of plausible reasoning developing their applied mathematical ability to solve daily life problems. 


by Jingli Liu | Zhipen Ren ""Learning of Advanced Mathematics by Chinese Liberal Arts Students: A Study of Developing Applied Mathematical Ability""

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-4 , June 2020,

URL: https://www.ijtsrd.com/papers/ijtsrd31618.pdf

Paper Url :https://www.ijtsrd.com/mathemetics/applied-mathematics/31618/learning-of-advanced-mathematics-by-chinese-liberal-arts-students-a-study-of-developing-applied-mathematical-ability/jingli-liu

internationaljournalsinengineering, callforpaperengineering, ugcapprovedengineeringjournal 

Friday 8 May 2020

RP 129 Formulation of a Special Type of Standard Quadratic Congruence of Composite Modulus- a Product of Two Powered Odd Primes

May 08, 2020 0
RP 129 Formulation of a Special Type of Standard Quadratic Congruence of Composite Modulus- a Product of Two Powered Odd Primes

In this current study, a very special type of standard quadratic congruence of composite modulus a product of two powered odd primes is considered for finding solutions. It is studied and solved in different cases. The author's effort made an easy way to find the solutions of the congruence under consideration. Such types of congruence are not formulated earlier. First time the author's effort came in existence. This is the merit of the paper. 


by Prof B M Roy ""RP-129: Formulation of a Special Type of Standard Quadratic Congruence of Composite Modulus- a Product of Two Powered Odd Primes""

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-4 , June 2020,

URL: https://www.ijtsrd.com/papers/ijtsrd30964.pdf

Paper Url :https://www.ijtsrd.com/mathemetics/applied-mathematics/30964/rp129-formulation-of-a-special-type-of-standard-quadratic-congruence-of-composite-modulus%E2%80%93-a-product-of-two-powered-odd-primes/prof-b-m-roy

callforpapermedicalscience, medicalsciencejournal

Sunday 16 February 2020

Solving Differential Equations Including Leguerre Polynomial via Laplace Transform

February 16, 2020 0
Solving Differential Equations Including Leguerre Polynomial via Laplace Transform

engineering application and make differential equations simple to solve. In this paper, we will solve differential equations including Leguerre Polynomial via Laplace Transform Method. 


Dr. Dinesh Verma | Amit Pal Singh ""Solving Differential Equations Including Leguerre Polynomial via Laplace Transform""

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-2 , February 2020,

URL: https://www.ijtsrd.com/papers/ijtsrd30197.pdf

Paper Url : https://www.ijtsrd.com/mathemetics/applied-mathematics/30197/solving-differential-equations-including-leguerre-polynomial-via-laplace-transform/dr-dinesh-verma

ugclistedjournals, indexedjournal, paperpublication

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