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Features
- This ultimate unique application is for all students across the world. It covers 113 topics of Discrete Mathematics in detail. These 113 topics are divided in 5 units.
- Each topic is around 600 words and is complete with diagrams, equations and other forms of graphical representations along with simple text explaining the concept in detail.
- This USP of this application is "ultra-portability". Students can access the content on-the-go from anywhere they like.
- Basically, each topic is like a detailed flash card and will make the lives of students simpler and easier.
- Some of topics Covered in this application are:
- 1. Set Theory
- 2. Decimal number System
- 3. Binary Number System
- 4. Octal Number System
- 5. Hexadecimal Number System
- 6. Binary Arithmetic
- 7. Sets and Membership
- 8. Subsets
- 9. Introduction to Logical Operations
- 10. Logical Operations and Logical Connectivity
- 11. Logical Equivalence
- 12. Logical Implications
- 13. Normal Forms and Truth Table
- 14. Normal Form of a well formed formula
- 15. Principle Disjunctive Normal Form
- 16. Principal Conjunctive Normal form
- 17. Predicates and Quantifiers
- 18. Theory of inference for the Predicate Calculus
- 19. Mathematical Induction
- 20. Diagrammatic Representation of Sets
- 21. The Algebra of Sets
- 22. The Computer Representation of Sets
- 23. Relations
- 24. Representation of Relations
- 25. Introduction to Partial Order Relations
- 26. Diagrammatic Representation of Partial Order Relations and Posets
- 27. Maximal, Minimal Elements and Lattices
- 28. Recurrence Relation
- 29. Formulation of Recurrence Relation
- 30. Method of Solving Recurrence Relation
- 31. Method for solving linear homogeneous recurrence relations with constant coefficients:
- 32. Functions
- 33. Introduction to Graphs
- 34. Directed Graph
- 35. Graph Models
- 36. Graph Terminology
- 37. Some Special Simple Graphs
- 38. Bipartite Graphs
- 39. Bipartite Graphs and Matchings
- 40. Applications of Graphs
- 41. Original and Sub Graphs
- 42. Representing Graphs
- 43. Adjacency Matrices
- 44. Incidence Matrices
- 45. Isomorphism of Graphs
- 46. Paths in the Graphs
- 47. Connectedness in Undirected Graphs
- 48. Connectivity of Graphs
- 49. Paths and Isomorphism
- 50. Euler Paths and Circuits
- 51. Hamilton Paths and Circuits
- 52. Shortest-Path Problems
- 53. A Shortest-Path Algorithm (Dijkstra Algorithm.)
- 54. The Traveling Salesperson Problem
- 55. Introduction to Planer Graphs
- 56. Graph Coloring
- 57. Applications of Graph Colorings
- 58. Introduction to Trees
- 59. Rooted Trees
- 60. Trees as Models
- 61. Properties of Trees
- 62. Applications of Trees
- 63. Decision Trees
- 64. Prefix Codes
- 65. Huffman Coding
- 66. Game Trees
- 67. Tree Traversal
- 68. Boolean Algebra
- 69. Identities of Boolean Algebra
- 70. Duality
- 71. The Abstract Definition of a Boolean Algebra
- 72. Representing Boolean Functions
- 73. Logic Gates
- 74. Minimization of Circuits
- 75. Karnaugh Maps
- 76. Dont Care Conditions
- 77. The Quine MCCluskey Method
- 78. Introduction to Lattices
- 79. The Transitive Closure of a Relation
- 80. Cartesian Product of Lattices
- 81. Properties of Lattices
- 82. Lattices as Algebraic System
- 83. Partial Order Relations on a Lattice
- 84. Least Upper Bounds and Latest Lower Bounds in a Lattice
- 85. Sublattices
- 86. Lattice Isomorphism
- 87. Bounded, Complemented and Distributive Lattices
- 88. Propositional Logic
- 89. Conditional Statements
- 90. Truth Tables of Compound Propositions
- 91. Precedence of Logical Operators and Logic and Bit Operations
- 92. Applications of Propositional Logic
- 93. Propositional Satisfiability
- 94. Quantifiers
- 95. Nested Quantifiers
- 96. Translating from Nested Quantifiers into English
- 97. Inference
- 98. Rules of Inference for Propositional Logic
- 99. Using Rules of Inference to Build Arguments
- 100. Resolution and Fallacies
- 101. Rules of Inference for Quantified Statements
- 102. Introduction to Algebra
- 103. Rings
- 104. Properties of rings
- 105. Subrings
- 106. Homomorphisms and quotient rings
- 107. Groups
- 108. Properties of groups
- 109. Subgroups
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Details were last updated on Oct 30, 2024 07:59 +08.
