# define set in math

Definition: The power set of a set A is the set which consists of all the subsets of the set A. This is a glossary of math definitions for common and important mathematics terms used in arithmetic, geometry, and statistics. In mathematics, a well-defined set clearly indicates what is a member of the set and what is not. Here is a set of clothing items. A set in the plane, which can now be thought of as a set of vectors, is called a convex set if the following holds: Whenever \overrightarrow{u} and \overrightarrow{v} belong to the set, so does \lambd The size of a set (also called its cardinality) is the number of elements in the set. Thus, the set A ∪ B—read “A union B” or “the union of A and B”—is defined as the set that consists of all elements belonging to either set A or set B (or both). A set is a collection of elements that are usually related. c. Set-builder notation: Set 1 and set 4 can be written as { x / x is a letter of the modern English alphabet} and { x / x is a type of sausage} { x / x is a letter of the modern English alphabet} is read, " The set of all x such that x is a letter in the modern English alphabet. An understanding of what subsets are is required before going ahead with Power-set. For example, a set that is identified as "the set of even whole numbers between 1 and 11" is a well-defined set because it is possible to identify the exact members of the set: 2, 4, 6, 8 and 10. Before we get into the definition of an equivalent set, we need to first know what a set is. Set-builder is an important concept in set notation… Illustrated definition of Set: A collection of things (objects or numbers, etc). Set theory, branch of mathematics that deals with the properties of well-defined collections of objects, which may or may not be of a mathematical nature, such as numbers or functions.The theory is less valuable in direct application to ordinary experience than as a basis for precise and adaptable terminology for the definition of complex and sophisticated mathematical concepts. Power Set. Set definition is - to cause to sit : place in or on a seat. How to use set in a sentence. The hyperbola is the set of all points in a plane, the difference of whose distance from two fixed points in the plane is a positive constant. It is denoted by P(A). You never know when set notation is going to pop up. Set theory - Set theory - Operations on sets: The symbol ∪ is employed to denote the union of two sets. For example, the size of the set { 2 , 4 , 6 } \{2, 4, 6 \} { 2 , 4 , 6 } is 3 , 3, 3 , while the size of the set … set, in mathematics, collection of entities, called elements of the set, that may be real objects or conceptual entities. For a set A which consists of n elements, the total … Definition of a Set. Usually, you'll see it when you learn about solving inequalities, because for some reason saying "x < 3" isn't good enough, so instead they'll want you to phrase the answer as "the solution set is { x | x is a real number and x < 3 }".How this adds anything to the student's understanding, I don't know. Purplemath. Set theory not only is involved in many areas of mathematics but has important applications in other fields as well, e.g., computer technology and atomic and nuclear physics.