This document discusses quasi-hyperbolic Kac-Moody algebras, which are a subclass of indefinite Kac-Moody algebras. It begins with background on Kac-Moody algebras and previous work studying different classes. The main results are a classification theorem showing there are 5 * (8C1 + 92C2 + ... + 98C8) possible connected Dynkin diagrams associated with rank 9 quasi-hyperbolic Kac-Moody algebras. It then examines one specific rank 9 quasi-hyperbolic algebra in more detail, providing its generalized Cartan matrix and properties of the root system.
In insight into QAC2(1) : Dynkin diagrams and properties of rootsIRJET Journal
The document discusses properties of quasi affine Kac-Moody algebras QAC2(1). It begins by providing background on Kac-Moody algebras and defining key terms. It then presents a classification theorem stating there are 909 non-isomorphic connected Dynkin diagrams associated with QAC2(1). These diagrams are divided into three cases based on how the fourth vertex connects to the first three vertices of the affine C2(1) diagram. The theorem proves there are 18 diagrams for case i), 162 for case ii), and 729 for case iii), totaling 909 diagrams.
This document discusses Cayley graphs and the relative gain array (RGA) matrix function. Cayley graphs are graphs with a sharply transitive automorphism group defined by a group G and subset S. The RGA of a Cayley graph's adjacency matrix explores how the matrix iterates under the RGA function. There are four possible behaviors: fixed point, convergence to a fixed matrix, chaotic behavior, or becoming the zero matrix if singular. Examples demonstrating the different behaviors are presented. The RGA is also applied to complement graphs and closedness under the Hadamard product is analyzed. GAP is introduced as a system for computational discrete algebra used to study Cayley graphs and RGA iterations.
This document contains a worksheet on sets, relations, and mappings with 24 multiple-choice questions. It provides the name and contact information of Mishal Chauhan, an instructor who teaches advanced mathematics courses. The questions cover topics like set operations, properties of relations such as reflexive, symmetric, transitive, equivalence relations, functions, mappings and their properties like one-to-one, onto. The answers to the questions are provided at the end.
Class xii inverse trigonometric function worksheet (t)Mishal Chauhan
This document contains a worksheet with 38 multiple choice questions related to inverse trigonometric functions for Class XII. The worksheet was created by Sthitpragya Science Classes in Gandhidham and covers topics relevant for engineering entrance exams like JEE, BITSAT, and GUJCET. It is taught by Mishal Chauhan, who has an M.Tech from IIT Delhi. The worksheet provides practice on evaluating inverse trigonometric functions, determining their principal values, and solving equations involving inverse trigonometric functions.
This document contains 48 permutation and combination problems with multiple choice answers. It provides an introduction and contact information for Sthitpragya Science Classes, which offers advanced mathematics preparation courses. The problems cover a range of topics including factorials, permutations, combinations, and arrangements of objects.
This document contains a worksheet with 83 multiple choice questions related to functions. It provides the contact information for Sthitpragya Science Classes in Gandhidham, India, which offers advanced mathematics courses. The questions cover topics such as even and odd functions, periodic functions, inverse functions, and operations on functions.
In this chapter, the authors extend the theory of
the generalized difference Operator ∆L to the generalized
difference operator of the 풏
풕풉kind denoted by ∆L Where L
=푳 = {풍ퟏ,풍ퟐ,….풍풏} of positive reals풍ퟏ,풍ퟐ,….풍풏and obtain some
interesting results on the relation between the generalized
polynomial factorial of the first kind, 풏
풕풉kind and algebraic
polynomials. Also formulae for the sum of the general
partial sums of products of several powers of consecutive
terms of an Arithmetic progression in number theory are
derived.
In insight into QAC2(1) : Dynkin diagrams and properties of rootsIRJET Journal
The document discusses properties of quasi affine Kac-Moody algebras QAC2(1). It begins by providing background on Kac-Moody algebras and defining key terms. It then presents a classification theorem stating there are 909 non-isomorphic connected Dynkin diagrams associated with QAC2(1). These diagrams are divided into three cases based on how the fourth vertex connects to the first three vertices of the affine C2(1) diagram. The theorem proves there are 18 diagrams for case i), 162 for case ii), and 729 for case iii), totaling 909 diagrams.
This document discusses Cayley graphs and the relative gain array (RGA) matrix function. Cayley graphs are graphs with a sharply transitive automorphism group defined by a group G and subset S. The RGA of a Cayley graph's adjacency matrix explores how the matrix iterates under the RGA function. There are four possible behaviors: fixed point, convergence to a fixed matrix, chaotic behavior, or becoming the zero matrix if singular. Examples demonstrating the different behaviors are presented. The RGA is also applied to complement graphs and closedness under the Hadamard product is analyzed. GAP is introduced as a system for computational discrete algebra used to study Cayley graphs and RGA iterations.
This document contains a worksheet on sets, relations, and mappings with 24 multiple-choice questions. It provides the name and contact information of Mishal Chauhan, an instructor who teaches advanced mathematics courses. The questions cover topics like set operations, properties of relations such as reflexive, symmetric, transitive, equivalence relations, functions, mappings and their properties like one-to-one, onto. The answers to the questions are provided at the end.
Class xii inverse trigonometric function worksheet (t)Mishal Chauhan
This document contains a worksheet with 38 multiple choice questions related to inverse trigonometric functions for Class XII. The worksheet was created by Sthitpragya Science Classes in Gandhidham and covers topics relevant for engineering entrance exams like JEE, BITSAT, and GUJCET. It is taught by Mishal Chauhan, who has an M.Tech from IIT Delhi. The worksheet provides practice on evaluating inverse trigonometric functions, determining their principal values, and solving equations involving inverse trigonometric functions.
This document contains 48 permutation and combination problems with multiple choice answers. It provides an introduction and contact information for Sthitpragya Science Classes, which offers advanced mathematics preparation courses. The problems cover a range of topics including factorials, permutations, combinations, and arrangements of objects.
This document contains a worksheet with 83 multiple choice questions related to functions. It provides the contact information for Sthitpragya Science Classes in Gandhidham, India, which offers advanced mathematics courses. The questions cover topics such as even and odd functions, periodic functions, inverse functions, and operations on functions.
In this chapter, the authors extend the theory of
the generalized difference Operator ∆L to the generalized
difference operator of the 풏
풕풉kind denoted by ∆L Where L
=푳 = {풍ퟏ,풍ퟐ,….풍풏} of positive reals풍ퟏ,풍ퟐ,….풍풏and obtain some
interesting results on the relation between the generalized
polynomial factorial of the first kind, 풏
풕풉kind and algebraic
polynomials. Also formulae for the sum of the general
partial sums of products of several powers of consecutive
terms of an Arithmetic progression in number theory are
derived.
IIT JAM MATH 2019 Question Paper | Sourav Sir's ClassesSOURAV DAS
IIT JAM Preparation Strategy
IIT JAM Math Previous Year Question Paper
IIT JAM Math 2019 Question Paper
For full solutions contact us.
Call - 9836793076
IIT JAM MATH 2020 Question Paper | Sourav Sir's ClassesSOURAV DAS
IIT JAM Math Previous Year Question Paper
IIT JAM Math 2020 Question Paper
IIT JAM Preparation Strategy
For full solutions contact us.
Call - 9836793076
Xi trigonometric functions and identities (t) part 1 Mishal Chauhan
This document contains a trigonometry worksheet with 36 multiple choice questions covering trigonometric functions and identities. It provides the contact information for Sthitpragya Science Classes in Gandhidham, India, which offers advanced mathematics courses. The questions cover topics like trigonometric ratios, trigonometric identities, trigonometric equations, and their properties.
Let 퐺 be simple graph of order 푛. 퐴 퐺 is the adjacency matrix of 퐺 of order 푛 × 푛. The matrix 퐴 퐺 is said to graphical if all its diagonal entries should be zero. The graph⎾ is said to be the matrix product (mod-2) of 퐺 and 퐺 푖푓 퐴 퐺 푎푛푑 퐴 퐺 (mod-2) is graphical and ⎾ is the realization of 퐴 퐺 퐴 퐺 (mod-2). In this paper, we are going to study the realization of the Cycle graph 퐺 and any 푘 − regular subgraph of 퐺 . Also some interesting characterizations and properties of the graphs for each the product of adjacency matrix under (mod-2) is graphical.
1. Hash tables are good for random access of elements but not sequential access. When records need to be accessed sequentially, hashing can be problematic because elements are stored in random locations instead of consecutively.
2. To find the successor of a node in a binary search tree, we take the right child. This operation has a runtime complexity of O(1).
3. When comparing operations like insertion, deletion, and searching between different data structures, arrays generally have the best performance for insertion and searching, while linked lists have better performance for deletion and allow for easy insertion/deletion anywhere. Binary search trees fall between these two.
The document discusses various algorithms including dynamic programming, Warshall's and Floyd's algorithms, backtracking, branch and bound, graph coloring, the n-queen problem, Hamiltonian cycles, and the sum of subsets problem. It provides examples and explanations of these algorithms, such as using dynamic programming to solve the 0-1 knapsack problem and backtracking to solve the n-queen problem by trying different placements of queens on a chessboard.
On Fully Indecomposable Quaternion Doubly Stochastic Matricesijtsrd
In traditional years, fully indecomposable matrices have played an vital part in various research topics. For example, they have been used in establishing a necessary condition for a matrix to have a positive inverse also, in the case of simultaneously row and column scaling sub ordinate to the unitarily invariant norms, the minimal condition number diagonalizable, sub stochastic matrices , Kronecker products is achieved for fully indecomposable matrices. In the existence of diagonal matrices D1 and D2 , with strictly positive diagonal elements, such that D1 AD2 is quaternion doubly stochastic, is established for an nXn non negative fully indecomposable matrix A. In a related scaling for fully indecomposable non negative rectangular matrices is also discussed. Dr. Gunasekaran K. | Mrs. Seethadevi R. "On Fully Indecomposable Quaternion Doubly Stochastic Matrices" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-5 , August 2019, URL: https://www.ijtsrd.com/papers/ijtsrd25351.pdfPaper URL: https://www.ijtsrd.com/mathemetics/other/25351/on-fully-indecomposable-quaternion-doubly-stochastic-matrices/dr-gunasekaran-k
Different kind of distance and Statistical DistanceKhulna University
A short brief of distance and statistical distance which is core of multivariate analysis.................you will get here some more simple conception about distances and statistical distance.
In [8] Liang and Bai have shown that the - 4 kC snake graph is an odd harmonious graph for each k ³ 1.
In this paper we generalize this result on cycles by showing that the - n kC snake with string 1,1,…,1 when
n º 0 (mod 4) are odd harmonious graph. Also we show that the - 4 kC snake with m-pendant edges for
each k,m ³ 1 , (for linear case and for general case). Moreover, we show that, all subdivision of 2 k mD -
snake are odd harmonious for each k,m ³ 1 . Finally we present some examples to illustrate the proposed
theories.
This document appears to be the table of contents and problems from Chapter 0 of a mathematics textbook. The table of contents lists 17 chapters and their corresponding page numbers. The problems cover a range of algebra topics including integers, rational numbers, properties of operations, solving equations, and rational expressions. There are over 70 problems presented without solutions for students to work through.
Solving Fuzzy Maximal Flow Problem Using Octagonal Fuzzy NumberIJERA Editor
In this paper a general fuzzy maximal flow problem is discussed . A crisp maximal flow problem can be solved
in two methods : linear programming modeling and maximal flow algorithm . Here I tried to fuzzify the
maximal flow algorithm using octagonal fuzzy numbers introduced by S.U Malini and Felbin .C. kennedy [26].
By ranking the octagonal fuzzy numbers it is possible to compare them and using this we convert the fuzzy
valued maximal flow algorithm to a crisp valued algorithm . It is proved that a better solution is obtained when
it is solved using fuzzy octagonal number than when it is solved using trapezoidal fuzzy number . To illustrate
this a numerical example is solved and the obtained result is compared with the existing results . If there is no
uncertainty about the flow between source and sink then the proposed algorithm gives the same result as in crisp
maximal flow problems.
Determination of Optimal Product Mix for Profit Maximization using Linear Pro...IJERA Editor
This paper demonstrates the use of liner programming methods in order to determine the optimal product mix for
profit maximization. There had been several papers written to demonstrate the use of linear programming in
finding the optimal product mix in various organization. This paper is aimed to show the generic approach to be
taken to find the optimal product mix.
The document discusses functions and graphs in chapter 2 of an introductory mathematical analysis textbook. It introduces key concepts such as functions, domains, ranges, combinations of functions, inverse functions, and graphs in rectangular coordinates. It provides examples of determining equality of functions, finding function values, combining functions, and finding inverses. It also discusses special functions, graphs, symmetry, and intercepts. The chapter aims to define functions and domains, introduce different types of functions and their operations, and familiarize students with graphing equations and basic function shapes.
SOLVING BVPs OF SINGULARLY PERTURBED DISCRETE SYSTEMSTahia ZERIZER
In this article, we study boundary value problems of a large
class of non-linear discrete systems at two-time-scales. Algorithms are given to implement asymptotic solutions for any order of approximation.
This document summarizes Chapter 9 from a textbook on introductory mathematical analysis. Section 9.1 discusses discrete random variables and expected value. Section 9.2 covers the binomial distribution and how it relates to the binomial theorem. Section 9.3 introduces Markov chains and their associated transition matrices. Examples are provided for each topic to illustrate key concepts like calculating expected values, applying the binomial distribution formula, and determining probabilities using Markov chains.
E-Cordial Labeling of Some Mirror GraphsWaqas Tariq
Let G be a bipartite graph with a partite sets V1 and V2 and G\' be the copy of G with corresponding partite sets V1\' and V2\' . The mirror graph M(G) of G is obtained from G and G\' by joining each vertex of V2 to its corresponding vertex in V2\' by an edge. Here we investigate E-cordial labeling of some mirror graphs. We prove that the mirror graphs of even cycle Cn, even path Pn and hypercube Qk are E-cordial graphs.
International Journal of Computational Engineering Research (IJCER) is dedicated to protecting personal information and will make every reasonable effort to handle collected information appropriately. All information collected, as well as related requests, will be handled as carefully and efficiently as possible in accordance with IJCER standards for integrity and objectivity.
Group {1, −1, i, −i} Cordial Labeling of Product Related GraphsIJASRD Journal
Let G be a (p,q) graph and A be a group. Let f : V (G) → A be a function. The order of u ∈ A is the least positive integer n such that un = e. We denote the order of u by o(u). For each edge uv assign the label 1 if (o(u), o(v)) = 1 or 0 otherwise. f is called a group A Cordial labeling if |vf (a) − vf (b)| ≤ 1 and |ef (0) − ef (1)| ≤ 1, where vf (x) and ef (n) respectively denote the number of vertices labeled with an element x and number of edges labeled with n(n = 0, 1). A graph which admits a group A Cordial labeling is called a group A Cordial graph. In this paper we define group {1,−1, i,−i} Cordial graphs and prove that Hypercube Qn = Qn−1 × K2, Book Bn = Sn × K2, n-sided prism Prn = Cn × K2 and Pn × K3 are all group {1,−1, i,−i} Cordial for all n.
A Study on the Root Systems and Dynkin diagrams associated with QHA2(1)IRJET Journal
This document discusses the quasi-hyperbolic Kac-Moody algebra QHA2(1). It begins with an abstract that introduces the algebra and states that the paper aims to classify the Dynkin diagrams associated with QHA2(1) and study properties of strictly and purely imaginary roots. It then provides background on Kac-Moody algebras, roots, and related concepts. The main results are a classification theorem stating there are 212 connected, non-isomorphic Dynkin diagrams for QHA2(1) and a discussion of strictly and purely imaginary roots for this algebra.
We first consider a ternary matrix group related to the von Neumann regular semigroups and to the Artin braid group (in an algebraic way). The product of a special kind of ternary matrices (idempotent and of finite order) reproduces the regular semigroups and braid groups with their binary multiplication of components. We then generalize the construction to the higher arity case, which allows us to obtain some higher degree versions (in our sense) of the regular semigroups and braid groups. The latter are connected with the generalized polyadic braid equation and R-matrix introduced by the author, which differ from any version of the well-known tetrahedron equation and higher-dimensional analogs of the Yang-Baxter equation, n-simplex equations. The higher degree (in our sense) Coxeter group and symmetry groups are then defined, and it is shown that these are connected only in the non-higher case.
The document provides information about a test for candidates applying for an M.Tech in Computer Science. It describes:
1) The test will have two parts - a morning objective test (Test MIII) and an afternoon short answer test (Test CS).
2) The CS test booklet will have two groups - Group A covering analytical ability and mathematics at the B.Sc. pass level, and Group B covering advanced topics in mathematics, statistics, physics, computer science, and engineering at the B.Sc. Hons. and B.Tech. levels.
3) Sample questions are provided for both Group A (mathematical reasoning and basic concepts) and Group B (advanced topics in real analysis
IIT JAM MATH 2019 Question Paper | Sourav Sir's ClassesSOURAV DAS
IIT JAM Preparation Strategy
IIT JAM Math Previous Year Question Paper
IIT JAM Math 2019 Question Paper
For full solutions contact us.
Call - 9836793076
IIT JAM MATH 2020 Question Paper | Sourav Sir's ClassesSOURAV DAS
IIT JAM Math Previous Year Question Paper
IIT JAM Math 2020 Question Paper
IIT JAM Preparation Strategy
For full solutions contact us.
Call - 9836793076
Xi trigonometric functions and identities (t) part 1 Mishal Chauhan
This document contains a trigonometry worksheet with 36 multiple choice questions covering trigonometric functions and identities. It provides the contact information for Sthitpragya Science Classes in Gandhidham, India, which offers advanced mathematics courses. The questions cover topics like trigonometric ratios, trigonometric identities, trigonometric equations, and their properties.
Let 퐺 be simple graph of order 푛. 퐴 퐺 is the adjacency matrix of 퐺 of order 푛 × 푛. The matrix 퐴 퐺 is said to graphical if all its diagonal entries should be zero. The graph⎾ is said to be the matrix product (mod-2) of 퐺 and 퐺 푖푓 퐴 퐺 푎푛푑 퐴 퐺 (mod-2) is graphical and ⎾ is the realization of 퐴 퐺 퐴 퐺 (mod-2). In this paper, we are going to study the realization of the Cycle graph 퐺 and any 푘 − regular subgraph of 퐺 . Also some interesting characterizations and properties of the graphs for each the product of adjacency matrix under (mod-2) is graphical.
1. Hash tables are good for random access of elements but not sequential access. When records need to be accessed sequentially, hashing can be problematic because elements are stored in random locations instead of consecutively.
2. To find the successor of a node in a binary search tree, we take the right child. This operation has a runtime complexity of O(1).
3. When comparing operations like insertion, deletion, and searching between different data structures, arrays generally have the best performance for insertion and searching, while linked lists have better performance for deletion and allow for easy insertion/deletion anywhere. Binary search trees fall between these two.
The document discusses various algorithms including dynamic programming, Warshall's and Floyd's algorithms, backtracking, branch and bound, graph coloring, the n-queen problem, Hamiltonian cycles, and the sum of subsets problem. It provides examples and explanations of these algorithms, such as using dynamic programming to solve the 0-1 knapsack problem and backtracking to solve the n-queen problem by trying different placements of queens on a chessboard.
On Fully Indecomposable Quaternion Doubly Stochastic Matricesijtsrd
In traditional years, fully indecomposable matrices have played an vital part in various research topics. For example, they have been used in establishing a necessary condition for a matrix to have a positive inverse also, in the case of simultaneously row and column scaling sub ordinate to the unitarily invariant norms, the minimal condition number diagonalizable, sub stochastic matrices , Kronecker products is achieved for fully indecomposable matrices. In the existence of diagonal matrices D1 and D2 , with strictly positive diagonal elements, such that D1 AD2 is quaternion doubly stochastic, is established for an nXn non negative fully indecomposable matrix A. In a related scaling for fully indecomposable non negative rectangular matrices is also discussed. Dr. Gunasekaran K. | Mrs. Seethadevi R. "On Fully Indecomposable Quaternion Doubly Stochastic Matrices" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-5 , August 2019, URL: https://www.ijtsrd.com/papers/ijtsrd25351.pdfPaper URL: https://www.ijtsrd.com/mathemetics/other/25351/on-fully-indecomposable-quaternion-doubly-stochastic-matrices/dr-gunasekaran-k
Different kind of distance and Statistical DistanceKhulna University
A short brief of distance and statistical distance which is core of multivariate analysis.................you will get here some more simple conception about distances and statistical distance.
In [8] Liang and Bai have shown that the - 4 kC snake graph is an odd harmonious graph for each k ³ 1.
In this paper we generalize this result on cycles by showing that the - n kC snake with string 1,1,…,1 when
n º 0 (mod 4) are odd harmonious graph. Also we show that the - 4 kC snake with m-pendant edges for
each k,m ³ 1 , (for linear case and for general case). Moreover, we show that, all subdivision of 2 k mD -
snake are odd harmonious for each k,m ³ 1 . Finally we present some examples to illustrate the proposed
theories.
This document appears to be the table of contents and problems from Chapter 0 of a mathematics textbook. The table of contents lists 17 chapters and their corresponding page numbers. The problems cover a range of algebra topics including integers, rational numbers, properties of operations, solving equations, and rational expressions. There are over 70 problems presented without solutions for students to work through.
Solving Fuzzy Maximal Flow Problem Using Octagonal Fuzzy NumberIJERA Editor
In this paper a general fuzzy maximal flow problem is discussed . A crisp maximal flow problem can be solved
in two methods : linear programming modeling and maximal flow algorithm . Here I tried to fuzzify the
maximal flow algorithm using octagonal fuzzy numbers introduced by S.U Malini and Felbin .C. kennedy [26].
By ranking the octagonal fuzzy numbers it is possible to compare them and using this we convert the fuzzy
valued maximal flow algorithm to a crisp valued algorithm . It is proved that a better solution is obtained when
it is solved using fuzzy octagonal number than when it is solved using trapezoidal fuzzy number . To illustrate
this a numerical example is solved and the obtained result is compared with the existing results . If there is no
uncertainty about the flow between source and sink then the proposed algorithm gives the same result as in crisp
maximal flow problems.
Determination of Optimal Product Mix for Profit Maximization using Linear Pro...IJERA Editor
This paper demonstrates the use of liner programming methods in order to determine the optimal product mix for
profit maximization. There had been several papers written to demonstrate the use of linear programming in
finding the optimal product mix in various organization. This paper is aimed to show the generic approach to be
taken to find the optimal product mix.
The document discusses functions and graphs in chapter 2 of an introductory mathematical analysis textbook. It introduces key concepts such as functions, domains, ranges, combinations of functions, inverse functions, and graphs in rectangular coordinates. It provides examples of determining equality of functions, finding function values, combining functions, and finding inverses. It also discusses special functions, graphs, symmetry, and intercepts. The chapter aims to define functions and domains, introduce different types of functions and their operations, and familiarize students with graphing equations and basic function shapes.
SOLVING BVPs OF SINGULARLY PERTURBED DISCRETE SYSTEMSTahia ZERIZER
In this article, we study boundary value problems of a large
class of non-linear discrete systems at two-time-scales. Algorithms are given to implement asymptotic solutions for any order of approximation.
This document summarizes Chapter 9 from a textbook on introductory mathematical analysis. Section 9.1 discusses discrete random variables and expected value. Section 9.2 covers the binomial distribution and how it relates to the binomial theorem. Section 9.3 introduces Markov chains and their associated transition matrices. Examples are provided for each topic to illustrate key concepts like calculating expected values, applying the binomial distribution formula, and determining probabilities using Markov chains.
E-Cordial Labeling of Some Mirror GraphsWaqas Tariq
Let G be a bipartite graph with a partite sets V1 and V2 and G\' be the copy of G with corresponding partite sets V1\' and V2\' . The mirror graph M(G) of G is obtained from G and G\' by joining each vertex of V2 to its corresponding vertex in V2\' by an edge. Here we investigate E-cordial labeling of some mirror graphs. We prove that the mirror graphs of even cycle Cn, even path Pn and hypercube Qk are E-cordial graphs.
International Journal of Computational Engineering Research (IJCER) is dedicated to protecting personal information and will make every reasonable effort to handle collected information appropriately. All information collected, as well as related requests, will be handled as carefully and efficiently as possible in accordance with IJCER standards for integrity and objectivity.
Group {1, −1, i, −i} Cordial Labeling of Product Related GraphsIJASRD Journal
Let G be a (p,q) graph and A be a group. Let f : V (G) → A be a function. The order of u ∈ A is the least positive integer n such that un = e. We denote the order of u by o(u). For each edge uv assign the label 1 if (o(u), o(v)) = 1 or 0 otherwise. f is called a group A Cordial labeling if |vf (a) − vf (b)| ≤ 1 and |ef (0) − ef (1)| ≤ 1, where vf (x) and ef (n) respectively denote the number of vertices labeled with an element x and number of edges labeled with n(n = 0, 1). A graph which admits a group A Cordial labeling is called a group A Cordial graph. In this paper we define group {1,−1, i,−i} Cordial graphs and prove that Hypercube Qn = Qn−1 × K2, Book Bn = Sn × K2, n-sided prism Prn = Cn × K2 and Pn × K3 are all group {1,−1, i,−i} Cordial for all n.
A Study on the Root Systems and Dynkin diagrams associated with QHA2(1)IRJET Journal
This document discusses the quasi-hyperbolic Kac-Moody algebra QHA2(1). It begins with an abstract that introduces the algebra and states that the paper aims to classify the Dynkin diagrams associated with QHA2(1) and study properties of strictly and purely imaginary roots. It then provides background on Kac-Moody algebras, roots, and related concepts. The main results are a classification theorem stating there are 212 connected, non-isomorphic Dynkin diagrams for QHA2(1) and a discussion of strictly and purely imaginary roots for this algebra.
We first consider a ternary matrix group related to the von Neumann regular semigroups and to the Artin braid group (in an algebraic way). The product of a special kind of ternary matrices (idempotent and of finite order) reproduces the regular semigroups and braid groups with their binary multiplication of components. We then generalize the construction to the higher arity case, which allows us to obtain some higher degree versions (in our sense) of the regular semigroups and braid groups. The latter are connected with the generalized polyadic braid equation and R-matrix introduced by the author, which differ from any version of the well-known tetrahedron equation and higher-dimensional analogs of the Yang-Baxter equation, n-simplex equations. The higher degree (in our sense) Coxeter group and symmetry groups are then defined, and it is shown that these are connected only in the non-higher case.
The document provides information about a test for candidates applying for an M.Tech in Computer Science. It describes:
1) The test will have two parts - a morning objective test (Test MIII) and an afternoon short answer test (Test CS).
2) The CS test booklet will have two groups - Group A covering analytical ability and mathematics at the B.Sc. pass level, and Group B covering advanced topics in mathematics, statistics, physics, computer science, and engineering at the B.Sc. Hons. and B.Tech. levels.
3) Sample questions are provided for both Group A (mathematical reasoning and basic concepts) and Group B (advanced topics in real analysis
The document describes a test for candidates applying for an M.Tech. in Computer Science. [The test consists of two parts - an objective test in the morning and a short answer test in the afternoon. The short answer test has two groups - Group A covers analytical ability and mathematics at the B.Sc. level, while Group B covers additional topics in mathematics, statistics, physics, computer science, or engineering depending on the candidate's choice.] The document provides sample questions testing concepts in mathematics including algebra, calculus, number theory, and logic.
Algorithmic Aspects of Vertex Geo-dominating Sets and Geonumber in GraphsIJERA Editor
In this paper we study about x-geodominating set, geodetic set, geo-set, geo-number of a graph G. We study the
binary operation, link vectors and some required results to develop algorithms. First we design two algorithms
to check whether given set is an x-geodominating set and to find the minimum x-geodominating set of a graph.
Finally we present another two algorithms to check whether a given vertex is geo-vertex or not and to find the
geo-number of a graph.
Algorithmic Aspects of Vertex Geo-dominating Sets and Geonumber in GraphsIJERA Editor
In this paper we study about x-geodominating set, geodetic set, geo-set, geo-number of a graph G. We study the
binary operation, link vectors and some required results to develop algorithms. First we design two algorithms
to check whether given set is an x-geodominating set and to find the minimum x-geodominating set of a graph.
Finally we present another two algorithms to check whether a given vertex is geo-vertex or not and to find the
geo-number of a graph.
Solving Fuzzy Maximal Flow Problem Using Octagonal Fuzzy NumberIJERA Editor
In this paper a general fuzzy maximal flow problem is discussed . A crisp maximal flow problem can be solved
in two methods : linear programming modeling and maximal flow algorithm . Here I tried to fuzzify the
maximal flow algorithm using octagonal fuzzy numbers introduced by S.U Malini and Felbin .C. kennedy [26].
By ranking the octagonal fuzzy numbers it is possible to compare them and using this we convert the fuzzy
valued maximal flow algorithm to a crisp valued algorithm . It is proved that a better solution is obtained when
it is solved using fuzzy octagonal number than when it is solved using trapezoidal fuzzy number . To illustrate
this a numerical example is solved and the obtained result is compared with the existing results . If there is no
uncertainty about the flow between source and sink then the proposed algorithm gives the same result as in crisp
maximal flow problems.
This document summarizes an article from the International Journal of Computer Engineering and Technology. The article discusses decomposing complete graphs into circulant graphs. It presents two theorems: 1) A complete graph K2m+1 can be decomposed into m edge-disjoint circulant graphs C2m+1(j) for m ≥ 2. 2) K2m+1 can be decomposed into edge-disjoint circulant graphs when 2m+1 is prime, equals 3⋅3n for n ≥ 1, or equals 3s for s ≥ 5 prime. The article also discusses an algorithm for decomposing the complete graph and applying it to the traveling salesman problem.
The document is an academic paper that discusses odd harmonious labelings of cyclic snake graphs. It contains the following key points:
1) It generalizes previous results by showing that the -nkC snake graph with a string of all 1s is odd harmonious when n is congruent to 0 modulo 4.
2) It proves that the -4kC snake graph with m pendant edges attached to each vertex, for m ≥ k, is odd harmonious for both the linear and general cases.
3) It shows that all subdivisions of the 2kmΔ snake graph are odd harmonious for m ≥ k. Examples are provided to illustrate the theories.
The document discusses eigenvalues and eigenvectors. It defines an eigenvalue problem as finding scale constants (λ) and nonzero vectors (X) such that when a square matrix (A) multiplies a vector (X), it produces a vector in the same direction but scaled by λ. The characteristic polynomial is used to find the eigenvalues by setting its determinant equal to 0. Once the eigenvalues are obtained, the corresponding eigenvectors can be found by solving the homogeneous system (A - λI)X = 0. Examples are provided to demonstrate finding the eigenvalues and eigenvectors of different matrices.
This document summarizes research into the properties of hypercube graphs. It defines key graph theory concepts such as distance regular graphs and adjacency matrices. It then presents results about hypercube characteristics, such as the structure of their adjacency matrices and structure matrices. Several conjectures are posed about hypercube eigenvalues and the idempotent matrix E_n-2. Questions are raised for further research, such as determining if an algorithm for E_n-2 is true and if all hypercubes are self-dual.
1. Representation theory studies how algebraic structures like groups, algebras, and Lie algebras can be represented by linear transformations on vector spaces. Quiver representations assign vector spaces to vertices and linear maps to arrows of a quiver.
2. Hall algebras were introduced to study representations of quivers. The document outlines representation theory, quivers, Hall algebras, and connections between quivers, Lie theory, and quantum groups.
3. Representation theory has applications in many areas of mathematics including algebra, analysis, algebraic geometry, and topology. Dynkin diagrams classify semisimple Lie algebras and Kac-Moody algebras. Quantum groups are quantized enveloping algebras generalizing the structure of universal enveloping algebras.
This document contains a sample question paper for Class XII Mathematics. It has 5 sections (A-E). Section A contains 18 multiple choice questions and 2 assertion-reason questions worth 1 mark each. Section B has 5 very short answer questions worth 2 marks each. Section C contains 6 short answer questions worth 3 marks each. Section D has 4 long answer questions worth 5 marks each. Section E contains 3 case study/passage based questions worth 4 marks each with internal subparts. The document provides sample questions on topics including trigonometry, calculus, matrices, probability, linear programming and more.
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This document studies module-algebra structures of the quantum universal enveloping algebra Uq(sl(m+1)) on the coordinate algebra of quantum n-dimensional vector spaces Aq(n). The main results are:
1) A complete classification is given of Uq(sl(m+1)) module-algebra structures on Aq(3) when m ≥ 2 and ki acts as an automorphism of Aq(3).
2) All module-algebra structures of Uq(sl(m+1)) on Aq(2) are characterized with the same method.
3) The module-algebra structures of Uq(sl(m+1)) on Aq(n)
(α ψ)- Construction with q- function for coupled fixed pointAlexander Decker
This document presents a theorem to prove the existence of coupled fixed points for contractive mappings in partially ordered quasi-metric spaces. It begins with definitions of key concepts such as mixed monotone mappings, coupled fixed points, quasi-metric spaces, and Q-functions. It then states and proves a coupled fixed point theorem for mappings that satisfy an (α-Ψ)-contractive condition in a partially ordered, complete quasi-metric space with a Q-function. The theorem shows that if such a mapping F has the mixed monotone property and satisfies the contractive inequality, then F has at least one coupled fixed point.
The document discusses matrices and their applications in engineering mathematics. It presents five theorems regarding properties of matrices such as:
1) The eigenvectors of a matrix corresponding to distinct eigenvalues are orthogonal.
2) The characteristic polynomial of the adjoint of a matrix is equal to the characteristic polynomial of the original matrix with the eigenvalues replaced by their reciprocals.
3) The eigenvalues of an orthogonal matrix have absolute value of 1.
4) If the eigenvalue of an orthogonal matrix is not ±1, then the associated eigenvector is the zero vector.
5) The eigenvectors corresponding to distinct eigenvalues of a symmetric matrix are orthogonal.
It also provides examples of finding the eigenvalues and eigenvectors of specific matrices.
This document summarizes Chris Swierczewski's general exam presentation on computational applications of Riemann surfaces and Abelian functions. The presentation covered the geometry and algebra of Riemann surfaces, including bases of cycles, holomorphic differentials, and period matrices. Applications discussed include using Riemann theta functions to find periodic solutions to integrable PDEs like the Kadomtsev–Petviashvili equation. The talk also discussed linear matrix representations of algebraic curves and the constructive Schottky problem of realizing a Riemann matrix as the period matrix of a curve.
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On the Odd Gracefulness of Cyclic Snakes With Pendant EdgesGiselleginaGloria
Graceful and odd gracefulness of a graph are two entirely different concepts. A graph may posses one or both of these or neither. We present four new families of odd graceful graphs. In particular we show an odd graceful labeling of the linear 4 1 kC snake mK − e and therefore we introduce the odd graceful labeling of 4 1 kC snake mK − e ( for the general case ). We prove that the subdivision of linear 3 kC snake − is odd graceful. We also prove that the subdivision of linear 3 kC snake − with m-pendant edges is odd graceful. Finally, we present an odd graceful labeling of the crown graph P mK n 1 e .
Similar to IRJET- Classification of Dynkin diagrams & imaginary roots of Quasi hyperbolic Kac Moody algebras of rank 9 (20)
TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...IRJET Journal
1) The document discusses the Sungal Tunnel project in Jammu and Kashmir, India, which is being constructed using the New Austrian Tunneling Method (NATM).
2) NATM involves continuous monitoring during construction to adapt to changing ground conditions, and makes extensive use of shotcrete for temporary tunnel support.
3) The methodology section outlines the systematic geotechnical design process for tunnels according to Austrian guidelines, and describes the various steps of NATM tunnel construction including initial and secondary tunnel support.
STUDY THE EFFECT OF RESPONSE REDUCTION FACTOR ON RC FRAMED STRUCTUREIRJET Journal
This study examines the effect of response reduction factors (R factors) on reinforced concrete (RC) framed structures through nonlinear dynamic analysis. Three RC frame models with varying heights (4, 8, and 12 stories) were analyzed in ETABS software under different R factors ranging from 1 to 5. The results showed that displacement increased as the R factor decreased, indicating less linear behavior for lower R factors. Drift also decreased proportionally with increasing R factors from 1 to 5. Shear forces in the frames decreased with higher R factors. In general, R factors of 3 to 5 produced more satisfactory performance with less displacement and drift. The displacement variations between different building heights were consistent at different R factors. This study evaluated how R factors influence
A COMPARATIVE ANALYSIS OF RCC ELEMENT OF SLAB WITH STARK STEEL (HYSD STEEL) A...IRJET Journal
This study compares the use of Stark Steel and TMT Steel as reinforcement materials in a two-way reinforced concrete slab. Mechanical testing is conducted to determine the tensile strength, yield strength, and other properties of each material. A two-way slab design adhering to codes and standards is executed with both materials. The performance is analyzed in terms of deflection, stability under loads, and displacement. Cost analyses accounting for material, durability, maintenance, and life cycle costs are also conducted. The findings provide insights into the economic and structural implications of each material for reinforcement selection and recommendations on the most suitable material based on the analysis.
Effect of Camber and Angles of Attack on Airfoil CharacteristicsIRJET Journal
This document discusses a study analyzing the effect of camber, position of camber, and angle of attack on the aerodynamic characteristics of airfoils. Sixteen modified asymmetric NACA airfoils were analyzed using computational fluid dynamics (CFD) by varying the camber, camber position, and angle of attack. The results showed the relationship between these parameters and the lift coefficient, drag coefficient, and lift to drag ratio. This provides insight into how changes in airfoil geometry impact aerodynamic performance.
A Review on the Progress and Challenges of Aluminum-Based Metal Matrix Compos...IRJET Journal
This document reviews the progress and challenges of aluminum-based metal matrix composites (MMCs), focusing on their fabrication processes and applications. It discusses how various aluminum MMCs have been developed using reinforcements like borides, carbides, oxides, and nitrides to improve mechanical and wear properties. These composites have gained prominence for their lightweight, high-strength and corrosion resistance properties. The document also examines recent advancements in fabrication techniques for aluminum MMCs and their growing applications in industries such as aerospace and automotive. However, it notes that challenges remain around issues like improper mixing of reinforcements and reducing reinforcement agglomeration.
Dynamic Urban Transit Optimization: A Graph Neural Network Approach for Real-...IRJET Journal
This document discusses research on using graph neural networks (GNNs) for dynamic optimization of public transportation networks in real-time. GNNs represent transit networks as graphs with nodes as stops and edges as connections. The GNN model aims to optimize networks using real-time data on vehicle locations, arrival times, and passenger loads. This helps increase mobility, decrease traffic, and improve efficiency. The system continuously trains and infers to adapt to changing transit conditions, providing decision support tools. While research has focused on performance, more work is needed on security, socio-economic impacts, contextual generalization of models, continuous learning approaches, and effective real-time visualization.
Structural Analysis and Design of Multi-Storey Symmetric and Asymmetric Shape...IRJET Journal
This document summarizes a research project that aims to compare the structural performance of conventional slab and grid slab systems in multi-story buildings using ETABS software. The study will analyze both symmetric and asymmetric building models under various loading conditions. Parameters like deflections, moments, shears, and stresses will be examined to evaluate the structural effectiveness of each slab type. The results will provide insights into the comparative behavior of conventional and grid slabs to help engineers and architects select appropriate slab systems based on building layouts and design requirements.
A Review of “Seismic Response of RC Structures Having Plan and Vertical Irreg...IRJET Journal
This document summarizes and reviews a research paper on the seismic response of reinforced concrete (RC) structures with plan and vertical irregularities, with and without infill walls. It discusses how infill walls can improve or reduce the seismic performance of RC buildings, depending on factors like wall layout, height distribution, connection to the frame, and relative stiffness of walls and frames. The reviewed research paper analyzes the behavior of infill walls, effects of vertical irregularities, and seismic performance of high-rise structures under linear static and dynamic analysis. It studies response characteristics like story drift, deflection and shear. The document also provides literature on similar research investigating the effects of infill walls, soft stories, plan irregularities, and different
This document provides a review of machine learning techniques used in Advanced Driver Assistance Systems (ADAS). It begins with an abstract that summarizes key applications of machine learning in ADAS, including object detection, recognition, and decision-making. The introduction discusses the integration of machine learning in ADAS and how it is transforming vehicle safety. The literature review then examines several research papers on topics like lightweight deep learning models for object detection and lane detection models using image processing. It concludes by discussing challenges and opportunities in the field, such as improving algorithm robustness and adaptability.
Long Term Trend Analysis of Precipitation and Temperature for Asosa district,...IRJET Journal
The document analyzes temperature and precipitation trends in Asosa District, Benishangul Gumuz Region, Ethiopia from 1993 to 2022 based on data from the local meteorological station. The results show:
1) The average maximum and minimum annual temperatures have generally decreased over time, with maximum temperatures decreasing by a factor of -0.0341 and minimum by -0.0152.
2) Mann-Kendall tests found the decreasing temperature trends to be statistically significant for annual maximum temperatures but not for annual minimum temperatures.
3) Annual precipitation in Asosa District showed a statistically significant increasing trend.
The conclusions recommend development planners account for rising summer precipitation and declining temperatures in
P.E.B. Framed Structure Design and Analysis Using STAAD ProIRJET Journal
This document discusses the design and analysis of pre-engineered building (PEB) framed structures using STAAD Pro software. It provides an overview of PEBs, including that they are designed off-site with building trusses and beams produced in a factory. STAAD Pro is identified as a key tool for modeling, analyzing, and designing PEBs to ensure their performance and safety under various load scenarios. The document outlines modeling structural parts in STAAD Pro, evaluating structural reactions, assigning loads, and following international design codes and standards. In summary, STAAD Pro is used to design and analyze PEB framed structures to ensure safety and code compliance.
A Review on Innovative Fiber Integration for Enhanced Reinforcement of Concre...IRJET Journal
This document provides a review of research on innovative fiber integration methods for reinforcing concrete structures. It discusses studies that have explored using carbon fiber reinforced polymer (CFRP) composites with recycled plastic aggregates to develop more sustainable strengthening techniques. It also examines using ultra-high performance fiber reinforced concrete to improve shear strength in beams. Additional topics covered include the dynamic responses of FRP-strengthened beams under static and impact loads, and the performance of preloaded CFRP-strengthened fiber reinforced concrete beams. The review highlights the potential of fiber composites to enable more sustainable and resilient construction practices.
Survey Paper on Cloud-Based Secured Healthcare SystemIRJET Journal
This document summarizes a survey on securing patient healthcare data in cloud-based systems. It discusses using technologies like facial recognition, smart cards, and cloud computing combined with strong encryption to securely store patient data. The survey found that healthcare professionals believe digitizing patient records and storing them in a centralized cloud system would improve access during emergencies and enable more efficient care compared to paper-based systems. However, ensuring privacy and security of patient data is paramount as healthcare incorporates these digital technologies.
Review on studies and research on widening of existing concrete bridgesIRJET Journal
This document summarizes several studies that have been conducted on widening existing concrete bridges. It describes a study from China that examined load distribution factors for a bridge widened with composite steel-concrete girders. It also outlines challenges and solutions for widening a bridge in the UAE, including replacing bearings and stitching the new and existing structures. Additionally, it discusses two bridge widening projects in New Zealand that involved adding precast beams and stitching to connect structures. Finally, safety measures and challenges for strengthening a historic bridge in Switzerland under live traffic are presented.
React based fullstack edtech web applicationIRJET Journal
The document describes the architecture of an educational technology web application built using the MERN stack. It discusses the frontend developed with ReactJS, backend with NodeJS and ExpressJS, and MongoDB database. The frontend provides dynamic user interfaces, while the backend offers APIs for authentication, course management, and other functions. MongoDB enables flexible data storage. The architecture aims to provide a scalable, responsive platform for online learning.
A Comprehensive Review of Integrating IoT and Blockchain Technologies in the ...IRJET Journal
This paper proposes integrating Internet of Things (IoT) and blockchain technologies to help implement objectives of India's National Education Policy (NEP) in the education sector. The paper discusses how blockchain could be used for secure student data management, credential verification, and decentralized learning platforms. IoT devices could create smart classrooms, automate attendance tracking, and enable real-time monitoring. Blockchain would ensure integrity of exam processes and resource allocation, while smart contracts automate agreements. The paper argues this integration has potential to revolutionize education by making it more secure, transparent and efficient, in alignment with NEP goals. However, challenges like infrastructure needs, data privacy, and collaborative efforts are also discussed.
A REVIEW ON THE PERFORMANCE OF COCONUT FIBRE REINFORCED CONCRETE.IRJET Journal
This document provides a review of research on the performance of coconut fibre reinforced concrete. It summarizes several studies that tested different volume fractions and lengths of coconut fibres in concrete mixtures with varying compressive strengths. The studies found that coconut fibre improved properties like tensile strength, toughness, crack resistance, and spalling resistance compared to plain concrete. Volume fractions of 2-5% and fibre lengths of 20-50mm produced the best results. The document concludes that using a 4-5% volume fraction of coconut fibres 30-40mm in length with M30-M60 grade concrete would provide benefits based on previous research.
Optimizing Business Management Process Workflows: The Dynamic Influence of Mi...IRJET Journal
The document discusses optimizing business management processes through automation using Microsoft Power Automate and artificial intelligence. It provides an overview of Power Automate's key components and features for automating workflows across various apps and services. The document then presents several scenarios applying automation solutions to common business processes like data entry, monitoring, HR, finance, customer support, and more. It estimates the potential time and cost savings from implementing automation for each scenario. Finally, the conclusion emphasizes the transformative impact of AI and automation tools on business processes and the need for ongoing optimization.
Multistoried and Multi Bay Steel Building Frame by using Seismic DesignIRJET Journal
The document describes the seismic design of a G+5 steel building frame located in Roorkee, India according to Indian codes IS 1893-2002 and IS 800. The frame was analyzed using the equivalent static load method and response spectrum method, and its response in terms of displacements and shear forces were compared. Based on the analysis, the frame was designed as a seismic-resistant steel structure according to IS 800:2007. The software STAAD Pro was used for the analysis and design.
Cost Optimization of Construction Using Plastic Waste as a Sustainable Constr...IRJET Journal
This research paper explores using plastic waste as a sustainable and cost-effective construction material. The study focuses on manufacturing pavers and bricks using recycled plastic and partially replacing concrete with plastic alternatives. Initial results found that pavers and bricks made from recycled plastic demonstrate comparable strength and durability to traditional materials while providing environmental and cost benefits. Additionally, preliminary research indicates incorporating plastic waste as a partial concrete replacement significantly reduces construction costs without compromising structural integrity. The outcomes suggest adopting plastic waste in construction can address plastic pollution while optimizing costs, promoting more sustainable building practices.
Software Engineering and Project Management - Introduction, Modeling Concepts...Prakhyath Rai
Introduction, Modeling Concepts and Class Modeling: What is Object orientation? What is OO development? OO Themes; Evidence for usefulness of OO development; OO modeling history. Modeling
as Design technique: Modeling, abstraction, The Three models. Class Modeling: Object and Class Concept, Link and associations concepts, Generalization and Inheritance, A sample class model, Navigation of class models, and UML diagrams
Building the Analysis Models: Requirement Analysis, Analysis Model Approaches, Data modeling Concepts, Object Oriented Analysis, Scenario-Based Modeling, Flow-Oriented Modeling, class Based Modeling, Creating a Behavioral Model.
Applications of artificial Intelligence in Mechanical Engineering.pdfAtif Razi
Historically, mechanical engineering has relied heavily on human expertise and empirical methods to solve complex problems. With the introduction of computer-aided design (CAD) and finite element analysis (FEA), the field took its first steps towards digitization. These tools allowed engineers to simulate and analyze mechanical systems with greater accuracy and efficiency. However, the sheer volume of data generated by modern engineering systems and the increasing complexity of these systems have necessitated more advanced analytical tools, paving the way for AI.
AI offers the capability to process vast amounts of data, identify patterns, and make predictions with a level of speed and accuracy unattainable by traditional methods. This has profound implications for mechanical engineering, enabling more efficient design processes, predictive maintenance strategies, and optimized manufacturing operations. AI-driven tools can learn from historical data, adapt to new information, and continuously improve their performance, making them invaluable in tackling the multifaceted challenges of modern mechanical engineering.
artificial intelligence and data science contents.pptxGauravCar
What is artificial intelligence? Artificial intelligence is the ability of a computer or computer-controlled robot to perform tasks that are commonly associated with the intellectual processes characteristic of humans, such as the ability to reason.
› ...
Artificial intelligence (AI) | Definitio
Electric vehicle and photovoltaic advanced roles in enhancing the financial p...IJECEIAES
Climate change's impact on the planet forced the United Nations and governments to promote green energies and electric transportation. The deployments of photovoltaic (PV) and electric vehicle (EV) systems gained stronger momentum due to their numerous advantages over fossil fuel types. The advantages go beyond sustainability to reach financial support and stability. The work in this paper introduces the hybrid system between PV and EV to support industrial and commercial plants. This paper covers the theoretical framework of the proposed hybrid system including the required equation to complete the cost analysis when PV and EV are present. In addition, the proposed design diagram which sets the priorities and requirements of the system is presented. The proposed approach allows setup to advance their power stability, especially during power outages. The presented information supports researchers and plant owners to complete the necessary analysis while promoting the deployment of clean energy. The result of a case study that represents a dairy milk farmer supports the theoretical works and highlights its advanced benefits to existing plants. The short return on investment of the proposed approach supports the paper's novelty approach for the sustainable electrical system. In addition, the proposed system allows for an isolated power setup without the need for a transmission line which enhances the safety of the electrical network
Embedded machine learning-based road conditions and driving behavior monitoringIJECEIAES
Car accident rates have increased in recent years, resulting in losses in human lives, properties, and other financial costs. An embedded machine learning-based system is developed to address this critical issue. The system can monitor road conditions, detect driving patterns, and identify aggressive driving behaviors. The system is based on neural networks trained on a comprehensive dataset of driving events, driving styles, and road conditions. The system effectively detects potential risks and helps mitigate the frequency and impact of accidents. The primary goal is to ensure the safety of drivers and vehicles. Collecting data involved gathering information on three key road events: normal street and normal drive, speed bumps, circular yellow speed bumps, and three aggressive driving actions: sudden start, sudden stop, and sudden entry. The gathered data is processed and analyzed using a machine learning system designed for limited power and memory devices. The developed system resulted in 91.9% accuracy, 93.6% precision, and 92% recall. The achieved inference time on an Arduino Nano 33 BLE Sense with a 32-bit CPU running at 64 MHz is 34 ms and requires 2.6 kB peak RAM and 139.9 kB program flash memory, making it suitable for resource-constrained embedded systems.
Use PyCharm for remote debugging of WSL on a Windo cf5c162d672e4e58b4dde5d797...shadow0702a
This document serves as a comprehensive step-by-step guide on how to effectively use PyCharm for remote debugging of the Windows Subsystem for Linux (WSL) on a local Windows machine. It meticulously outlines several critical steps in the process, starting with the crucial task of enabling permissions, followed by the installation and configuration of WSL.
The guide then proceeds to explain how to set up the SSH service within the WSL environment, an integral part of the process. Alongside this, it also provides detailed instructions on how to modify the inbound rules of the Windows firewall to facilitate the process, ensuring that there are no connectivity issues that could potentially hinder the debugging process.
The document further emphasizes on the importance of checking the connection between the Windows and WSL environments, providing instructions on how to ensure that the connection is optimal and ready for remote debugging.
It also offers an in-depth guide on how to configure the WSL interpreter and files within the PyCharm environment. This is essential for ensuring that the debugging process is set up correctly and that the program can be run effectively within the WSL terminal.
Additionally, the document provides guidance on how to set up breakpoints for debugging, a fundamental aspect of the debugging process which allows the developer to stop the execution of their code at certain points and inspect their program at those stages.
Finally, the document concludes by providing a link to a reference blog. This blog offers additional information and guidance on configuring the remote Python interpreter in PyCharm, providing the reader with a well-rounded understanding of the process.
Introduction- e - waste – definition - sources of e-waste– hazardous substances in e-waste - effects of e-waste on environment and human health- need for e-waste management– e-waste handling rules - waste minimization techniques for managing e-waste – recycling of e-waste - disposal treatment methods of e- waste – mechanism of extraction of precious metal from leaching solution-global Scenario of E-waste – E-waste in India- case studies.
An improved modulation technique suitable for a three level flying capacitor ...IJECEIAES
This research paper introduces an innovative modulation technique for controlling a 3-level flying capacitor multilevel inverter (FCMLI), aiming to streamline the modulation process in contrast to conventional methods. The proposed
simplified modulation technique paves the way for more straightforward and
efficient control of multilevel inverters, enabling their widespread adoption and
integration into modern power electronic systems. Through the amalgamation of
sinusoidal pulse width modulation (SPWM) with a high-frequency square wave
pulse, this controlling technique attains energy equilibrium across the coupling
capacitor. The modulation scheme incorporates a simplified switching pattern
and a decreased count of voltage references, thereby simplifying the control
algorithm.