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    • Mathematical Logic. Introduction to Propositional Logic. Applications of Propositional Logic. Propositional and Predicate Logic. Propositional Equivalences. Normal and Principle Forms.
    • Sets and Relations. Set Theory. Types of Sets. Set Operations. Rough Set Theory. Functions. Sequence and Summations. Representations of Matrices and Graphs in Relations.
    • Mathematical Induction. Basics of Counting. Pascal’s Identity. Pigeonhole Principle. Permutations and Combinations. Generalized Permutations and Combinations.
    • Boolean Algebra. Boolean Functions. Boolean Algebraic Theorem. Properties of Boolean Algebra. Number of Boolean Functions. Minimization of Boolean Functions.
  1. Symbol Description Location \( P, Q, R, S, \ldots \) propositional (sentential) variables: Paragraph \(\wedge\) logical “and” (conjunction) Item \(\vee\)

  2. discrete. adjective. uk / dɪˈskriːt / us / dɪˈskriːt / Add to word list. clearly separate or different in shape or form: These small companies now have their own discrete identity. Synonyms. independent. separate. Note: Do not confuse with discreet. SMART Vocabulary: related words and phrases. Separateness and isolation in space. apartheid.

  3. What is discrete mathematics? Roughly speaking, it is the study of discrete objects. Here, discrete means “containing distinct or unconnected elements.” Examples include: Determining whether a mathematical argument is logically correct. Studying the relationship between finite sets. Counting the number of ways to arrange objects in a ...

  4. 0.1 What is Discrete Mathematics? 🔗. dis·crete / dis’krët. 🔗. Adjective: Individually separate and distinct. 🔗. Synonyms: separate - detached - distinct - abstract. 🔗. Defining discrete mathematics is hard because defining mathematics is hard. What is mathematics? The study of numbers?

  5. Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous functions).

  6. 2 days ago · Discrete mathematics is the study of mathematical structures that are countable or otherwise distinct and separable. Examples of structures that are discrete are combinations, graphs, and logical statements. Discrete structures can be finite or infinite.