Yahoo Αναζήτηση Διαδυκτίου

Αποτελέσματα Αναζήτησης

1. michael-franke.github.io › 01-handouts › 01-handout_sets-relations-functionsSets, relations, functions, and proofs - GitHub Pages

   michael-franke.github.io › 01-handouts › 01-handout_sets-relations-functions

   Basic notions of (naïve) set theory; sets, elements, relations between and operations on sets; relations and their properties; functions and their properties. Examples of informal proofs: direct, indirect and counterexamples. set is a collection of entities. We use notation with curly braces “f : : :g” to represent such a collection.

2. scholar.harvard.edu › files › yxiangSet theory, relations, and functions (II) - Scholars at Harvard

   scholar.harvard.edu › files › yxiang

   Set theory, relations, and functions (II) Review: set theory – Principle of Extensionality – Special sets: singleton set, empty set – Ways to define a set: list notation, predicate notation, recursive rules – Relations of sets: identity, subset, powerset – Operations on sets: union, intersection, difference, complement – Venn diagram

3. www3.cs.stonybrook.edu › ~kifer › CoursesRelational Algebra and SQL - Stony Brook University

   www3.cs.stonybrook.edu › ~kifer › Courses

   Set Operators • Relation is a set of tuples, so set operations should apply: ∩, ∪, −(set difference) • Result of combining two relations with a set operator is a relation => all its elements must be tuples having same structure • Hence, scope of set operations limited to union compatible relations

4. www.inf.ed.ac.uk › teaching › coursesDiscrete Mathematics, Chapters 2 and 9: Sets, Relations and...

   www.inf.ed.ac.uk › teaching › courses

   Subsets and Set Equality Definition Set A is a subset of set B iff every element of A is also an element of B. Formally: A B $8x(x 2A !x 2B) In particular, ; S and S S for every set S. Definition Two sets A and B are equal iff they have the same elements. Formally: A = B $A B ^B A. E.g., f1;5;5;5;3;3;1g= f1;3;5g= f3;5;1g.

5. people.umass.edu › partee › NZ_2006Basic Concepts of Set Theory, Functions and Relations - UMass

   people.umass.edu › partee › NZ_2006

   Set Theory Basics.doc 1.4. Subsets A set A is a subset of a set B iff every element of A is also an element of B. Such a relation between sets is denoted by A ⊆ B. If A ⊆ B and A ≠ B we call A a proper subset of B and write A ⊂ B. (Caution: sometimes ⊂ is used the way we are using ⊆.) Both signs can be negated using the slash ...

6. pages.cs.wisc.edu › ~dbbook › openAccessRelational Algebra - University of Wisconsin–Madison

   pages.cs.wisc.edu › ~dbbook › openAccess

   – Selection ( ) Selects a subset of rows from relation. – Projection ( ) Deletes unwanted columns from relation. – Cross-product ( ) Allows us to combine two relations.

7. www.cl.cam.ac.uk › teaching › 1213Sets and Logic - University of Cambridge

   www.cl.cam.ac.uk › teaching › 1213

   In it we study the structure on subsets of a set, operations on subsets, the relations of inclusion and equality on sets, and the close connection with propositional logic. set (or class) is an (unordered) collection of objects, called its elements or members. We write a 2 X when a is an element of the set X.