Search results
Results from the WOW.Com Content Network
the sequence a0,a1,a2,… a 0, a 1, a 2, …. the complete graph on n n vertices. the complete bipartite graph of of m m and n n vertices.
accomplishment of mathematics. After all, what do these symbols “1”, “2”, “3”, actually mean? These numbers can be formally defined in terms of sets. Even more involved is the formal definition of the reals, usually covered in a first mathematical analysis course.
Set Symbols. A set is a collection of things, usually numbers. We can list each element (or "member") of a set inside curly brackets like this: Common Symbols Used in Set Theory. Symbols save time and space when writing. Here are the most common set symbols. In the examples C = {1, 2, 3, 4} and D = {3, 4, 5}
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.
Symbol Description Location \(P, Q, R, S, \ldots\) propositional (sentential) variables: Paragraph \(\wedge\) logical “and” (conjunction) Item \(\vee\)
Let \(d\) = “I like discrete structures”, \(c\) = “I will pass this course” and \(s\) = “I will do my assignments.” Express each of the following propositions in symbolic form: I like discrete structures and I will pass this course. I will do my assignments or I will not pass this course.
Discrete mathematics uses a range of techniques, some of which is sel-dom found in its continuous counterpart. This course will roughly cover the following topics and speci c applications in computer science. 1.Sets, functions and relations 2.Proof techniques and induction 3.Number theory a)The math behind the RSA Crypto system
The title of this section “Discrete Structures” reflects the fact that most, but not all, structures that we meet in the course are discrete (as opposed to continuous) objects. Of course, the word ‘structure’ is not used in the informal everyday sense, but in a technical sense.
This textbook, “Discrete Mathematics: An Open Introduction”, by Oscar Levin, provides a good overview of topics in Discrete Mathematics.
Standard Symbols. Sets that are frequently encountered are usually given symbols that are reserved for them alone. For example, since we will be referring to the positive integers throughout this book, we will use the symbol \(\mathbb{P}\) instead of writing \(\{1, 2, 3, \ldots \}\text{.}\)