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MDU Mathematical Foundation of Computer Science - Sem I
Unit 1 : Relation(Relations, Properties of Binary relation, Matrix representation of relations, Closures of relations, Equivalence relations, Partial order relation Function Types, Composition of function,Recursively defined function)
1. Types of Relations and Representing Relations Using Matrices and Digraphs(Mathematics) Total View (739)
 
This section deals with the study of concept of binary relation and give you several geometric, computer and algebraic method of representations. Relationship between number, people, sets and any other entities can be formulated in the idea of the binary relation. In this section you will also learn the different properties that a binary relation can posess.
Title: Math 1.4 Discrete Mathematics
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 11
Price: Rs 8.25

2. Relations(Discrete Mathematics) Total View (748)
 
Introduction, Binary relations, Displaying Relations, Some Definitions and Terminology, Arrow Diagram of a Relation, The Inverse of a Relation, n-Ary Relations, Domain and Range of a Relation, Composition of Relations, Properties of Relations, Representing Relations, Partition, Partial Ordered Relations, Digraphs of Posets, Hasse Diagram, Some Definitions, Lattice, Digraph and Emergence of Structu ......
Title: Mathematical Foundations for Computer Science Engineers
Published on: 03/11/14
Author: Jayant Ganguly
Publisher: Sanguine Technical Publishers
Pages: 59
Price: Rs 44.25

3. Matrices of Relation, Transitive Closure and Warshall's Algorithm(Mathematics) Total View (740)
 
Through this unit we discuss about matrix digraphs relation along with transitive closure. Also of interest in how the relation matrix is used in the study of Graph theory.
Title: Math 1.4 Discrete Mathematics
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 15
Price: Rs 11.25

4. Set Theory(Applied Mathematics) Total View (4)
 
One of the most important tools in mathematics is the theory of sets. The notation, terminology and concepts of set theory are helpful in studying any branch of mathematics. Every branch of mathematics can be considered as a study of sets of objects of one kind or another. Further, sets and mathematical logic are now basic to the design of computers and electrical circuits.
Title: Discrete Structures and Graph Theory
Published on: 27/05/15
Author: Bhishma Rao GSS
Publisher: Scitech Publications India Pvt Ltd
Pages: 93
Price: Rs 69.75

5. Relations - II(Discrete Mathematical Structures ) Total View (282)
 
In this chapter we will study the properties of relations, their representation as a matrix or a directed graph. Further we will also discuss about a special kind of relation called partial order.
Title: Discrete Mathematical Structures
Published on: 28/06/14
Author: Jayant Ganguly
Publisher: Sanguine Technical Publishers
Pages: 48
Price: Rs 36

6. Graph Matrices and Applications(Software Testing ) Total View (439)
 
Graph Matrices and Applications, Objectives, Overview, Path Tracing Issues in Graphs and Matrix Representation, Graph and The Matrix of a Graph, Terminology: The Matrix of a Graph, Examples on Matrix Representations, Cyclomatic Complexity, Graph, Relations and Properties of Relations, Transitive Property, Reflexive Property, Symmetric Property, Equivalence Relation, Antisymmetric Relation, Partial ......
Title: Software Testing Techniques & Applications
Published on: 10/06/14
Author: Arunkumar Khannur
Publisher: Sanguine Technical Publishers
Pages: 31
Price: Rs 23.25

7. Partial Ordering and Totally Ordered Set(Mathematics) Total View (738)
 
We shall emphasize the study of a relation on a set A. various properties of relations are developed along with ways to represent finite relation.
Title: Math 1.4 Discrete Mathematics
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 8
Price: Rs 6

8. Equivalence Relation(Computer Science) Total View (205)
 
Naturally we can now ask: Are there relations that simultaneously manifest all three properties? The answer is yes; For instance the relation is logically equivalent to on the set of propositions has all these properties. Such as a relation is an equivalence relation. For example in some programming languages .the names of variables can contain an unlimited number of characters that are checked w ......
Title: MSCS-501 Discrete Mathematics
Published on: 28/09/13
Author: KSOU
Publisher: Karnataka State Open University
Pages: 13
Price: Rs 9.75

9. Groups, subgroups and Lagrange's theorem(Mathematics) Total View (651)
 
Among several algebraic structures that appear in mathematics, groups are the simplest one. Originally groups consisted of only transformation groups and later in 19th century groups appeared in the context of theory of algebraic equations. Later, to be exact in 1882, these were generalized to abstract groups defined by a set of axioms.
Title: Math 1.1 Algebra
Published on: 04/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 17
Price: Rs 0

10. Relations II(Discrete Mathematical Structures ) Total View (363)
 
This chapter is a continuation of Chapter 5. In this chapter, the topic of relations is discussed further. Special types of relations called equivalence relations and partial orders are dealth-with in some detail. The matrix representation of relations and the pictorial representation of relations (known as digraphs) are used to illustrate the concepts and results.
Title: Discrete Mathematical Structures
Published on: 27/06/14
Author: Chandrasekharaiah D S (DSC)
Publisher: Prism Books Pvt Ltd
Pages: 80
Price: Rs 60

11. Additional Topics-A Bird's Eye View(Formal Languages & Automata Theory) Total View (359)
 
Equivalence between Turing Machines and Type-0 languages: For every TM M, we can construct an equivalent grammar G and vice-versa. Equivalence between Context Sensitive Languages and Linear Bounded Automata: Linear Bounded Automata is a nondeterministic TM which does not use any tape space beyond input limits. For every CSG G, there is an equivalent LBAM and vice-versa. A brief outline of space co ......
Title: Formal Languages & Automata Theory
Published on: 03/11/14
Author: Srinivasa Murthy BN
Publisher: Sanguine Technical Publishers
Pages: 16
Price: Rs 12

12. Sets, Relations, and Functions(Mathematics) Total View (1805)
 
• Recapitulation of sets • Cartesian product of two sets • Relations - Types of relations • Functions - Types of functions • Graphs of and
Title: Mathematics I
Published on: 28/10/14
Author: Sampangiram C S
Publisher: Interlinepublishing
Pages: 25
Price: Rs 18.75

13. Relation and its Properties(Computer Science) Total View (208)
 
Relationships between elements of sets occur in many contexts everyday we deal with relations such as the relations of father to son, brother to sisters etc. Relationships between elements of sets are represented using the structure called a relation, which is just a subset of the Cartesian product of the sets. Relations can be used to solve problems such as determining which pairs of cities are l ......
Title: MSCS-501 Discrete Mathematics
Published on: 28/09/13
Author: KSOU
Publisher: Karnataka State Open University
Pages: 9
Price: Rs 6.75

14. Algebraic Structures(Discrete Mathematics) Total View (751)
 
Mathematical Structure (or Algebraic Structures), Binary Operation, Properties of Mathematical Structures, Some Important Theorems, Composition Table, Semigroups, Isomorphism, Groups, Some Special Groups, Integral Powers of an Element, Subgroups, Euler φ-Function, φ(n), Quotient Group, Homomorphism of Groups
Title: Mathematical Foundations for Computer Science Engineers
Published on: 09/06/14
Author: Jayant Ganguly
Publisher: Sanguine Technical Publishers
Pages: 57
Price: Rs 42.75

15. INTRODUCTION(Computer Science) Total View (0)
 
An Algorithm is any well-defined computational procedure that takes some value or set of values as input and produces a set of values or some value as output. Thus algorithm is a sequence of computational steps that transforms the input into the output.
Title: DESIGN AND ANALYSIS OF ALGORITHMS
Published on: 01/10/18
Author:
Publisher:
Pages: 44
Price: Rs 0

16. Introduction to Design & Analysis of algorithms(DESIGN AND ANALYSIS OF ALGORITHMS) Total View (23)
 
As per VTU Syllabus
Title: DESIGN AND ANALYSIS OF ALGORITHMS
Published on: 06/03/17
Author: Narayana H M
Publisher: Interlinepublishing
Pages: 29
Price: Rs 81.525

17. Difference Equations and Generating Functions(Mathematics) Total View (738)
 
After going through this unit we can define and construct generating functions for sequences arising in various types of combination problems. Also we use generating functions to find the number of integer solution to linear equations. We solve recurrence relation using generating functions.
Title: Math 1.4 Discrete Mathematics
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 16
Price: Rs 12

18. Reccurrence Relation(Mathematics) Total View (736)
 
This unit mainly deals with the study of recurrence relation with examples to familiarize with the process of formulating recurrences.
Title: Math 1.4 Discrete Mathematics
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 13
Price: Rs 9.75

19. Lattices(Mathematics) Total View (741)
 
In this section we learn more advanced feature on the relation like partial ordered sets and Lattices. These structures are useful in set theory, algebra, sorting and searching.
Title: Math 1.4 Discrete Mathematics
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 6
Price: Rs 4.5

20. Representation of Forest of Trees(Computer Science) Total View (800)
 
In this unit we shall consider general type of tree there a node can have any number of child nodes. In its most abstract sense, a tree is simply a data structure capable of representing a hierarchical relationship between a parent node and an unlimited number of children nodes.
Title: MSCS-504 Data Structure
Published on: 01/10/13
Author: KSOU
Publisher: Karnataka State Open University
Pages: 4
Price: Rs 3

21. Density Based and Model Based Clustering(Computer Science) Total View (774)
 
Model-based methods hypothesize a model for each of the clusters and find the best fit of the data to the given model. A model- based method hypothesize a model for each of the clusters and find the best fit of the data to the given model A model-based algorithm may locate clusters by constructing a density function that reflects the spatial distribution of the data points.
Title: MSCS-516A Data Mining
Published on: 03/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 14
Price: Rs 10.5

22. Manipulation of Relations(Computer Science) Total View (204)
 
We are very familiar with the concept of relations, operations of relations, properties of relations and equivalence class of relations. In this unit, we also consider the various manipulation , such as union , intersection, compliment and inverse that can be performed on relations. Also we proved the fundamental ideas of partition' and covering.
Title: MSCS-501 Discrete Mathematics
Published on: 28/09/13
Author: KSOU
Publisher: Karnataka State Open University
Pages: 8
Price: Rs 6

23. Introduction to Finite Element Method(Finite Element Method) Total View (5388)
 
Introduction, General Description of the Finite Element Method, List of Steps Involved in the Finite Element Method, Engineering Applications of Finite Element Method, Advantages of the Finite Element Method.
Title: Finite Element Method
Published on: 23/12/14
Author: Murigendrappa S M
Publisher: Interlinepublishing
Pages: 4
Price: Rs 0

24. Fundamental of Analysis of Algorithms(Analysis and Design of Algorithms (ADA)) Total View (1232)
 
◙ Introduction, ◙ Analyzing an Algorithm, ◙ Analysis of Non-recursive Algorithms, ◙ Analysis of Recursive Algorithms, ◙ Exercises, ◙ Solutions for Selected Problems.
Title: Introduction to ADA
Published on: 01/07/13
Author: Mangat J. S.
Publisher: Interlinepublishing
Pages: 12
Price: Rs 9

25. Data Mining Query Language(Computer Science) Total View (726)
 
The feature of the data mining systems is the ability to support ad-hoc and interactive data mining in order to facilitate flexible and effective knowledge discovery. Data mining query languages can be designed to support such a feature. The importance of the design of a good data mining query language can also be seen from observing the history of relational database systems. Relational database ......
Title: MSCS-516A Data Mining
Published on: 10/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 22
Price: Rs 16.5



 
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