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Introduction to Sets. Forget everything you know about numbers. In fact, forget you even know what a number is. In sets it does not matter what order the elements are in. Example: {1,2,3,4} is the same set as {3,1,4,2} When we say

The act or process of setting.

Introduction to Sets. Forget everything you know about numbers. In fact, forget you even know what a number is. In sets it does not matter what order the elements are in. Example: {1,2,3,4} is the same set as {3,1,4,2} When we say
SET, QUIDDLER, FIVE CROWNS, KARMA, SET CUBED, MINI ROUND, AMERICA'S FAVORITE CARD GAMES, Triple Matching Mania, The Family Game of Visual Perception, For the Fun of Words, The Short Word Game, The Game Isn't Over 'Til the Kings Go Wild, What Goes Around Comes Around!, Where the END is just the BEGINNING, and the KARMA and SET logos are.
Recent Examples on the Web: Adjective. But those two Apple shows have not exactly set American popular culture on fire. — Daniel Arkin /, NBC News,
Cabinet has made an in-principle decision to implement four proposals and asked officials to work on how they will be developed and implemented in the ETS over the next few years so there will not be immediate changes.
SET, QUIDDLER, FIVE CROWNS, KARMA, SET CUBED, MINI ROUND, AMERICA'S FAVORITE CARD GAMES, Triple Matching Mania, The Family Game of Visual Perception, For the Fun of Words, The Short Word Game, The Game Isn't Over 'Til the Kings Go Wild, What Goes Around Comes Around!, Where the END is just the BEGINNING, and the KARMA and SET logos are.
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Introduction to Sets. Forget everything you know about numbers. In fact, forget you even know what a number is. In sets it does not matter what order the elements are in. Example: {1,2,3,4} is the same set as {3,1,4,2} When we say

Let's sit here in the shade. Its past tense and past participle are sat: They sat at the table for nearly two hours. Have they sat down yet? Related Words for set setting , scene , series , array , lot , collection , batch , locate , head , prepare , fix , introduce , turn , settle , lay , install , put , apply , post , establish.

Contemporary Examples of set When cities started adding chlorine to their water supplies, in the early s, it set off public outcry. Historical Examples of set I certainly did need you to come along right now and set me straight. The Spenders Harry Leon Wilson. The Armourer's Prentices Charlotte M. Brave and Bold Horatio Alger. See also set about , set against , set aside , set back , set down , set forth , set in , set off , set on , set out , set to , set up , set upon.

C14 in the obsolete sense: Many disparate senses collect under this word because of the far-flung meanings assigned to the verb: To put in a specified position; place. To put into a specified state. To put into a stable position.

To fix firmly or in an immobile manner. To become fixed or hardened; coagulate. To bring the bones of a fracture back into a normal position or alignment. The act or process of setting. The condition resulting from setting. A permanent firming or hardening of a substance. The carriage or bearing of a part of the body.

A particular psychological state, usually of anticipation or preparedness. Published by Houghton Mifflin Company. A collection of distinct elements that have something in common. In addition to the idioms beginning with set set about set against set an example set apart set a precedent set aside set at set at rest set back set back on one's heels set back the clock set by set down set eyes on set fire to set foot set forth set forward set in set in motion set in one's ways, be set off set on set on a pedestal set one back set one back on one's feet set one's back up set one's cap for set one's face against set one's heart on set one's mind at rest set one's mind on set one's seal on set one's sights on set one's teeth on edge set on fire set out set right set sail set store by set straight set the pace set the record straight set the scene for set the table set the wheels in motion set the world on fire set to set tongues wagging set to rights set up set up housekeeping set upon set up shop also see: Nearby words for set sestertius sestet sestina sesto san giovanni sestos set.

Test Your Knowledge - and learn some interesting things along the way. Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free! A look at its gassy origins.

Smart advice on modifying adjectives. If you need a reminder. And is one way more correct than the others? The story of an imaginary word that managed to sneak past our editors and enter the dictionary. How to use a word that literally drives some people nuts. The awkward case of 'his or her'. Words to improve your Scrabble game.

Can you spell these 10 commonly misspelled words? Do you know the person or title these quotes describe? Verb concrete , congeal , firm up , freeze , harden , indurate , solidify Synonyms: Noun body , bunch , circle , clan , clique , community , coterie , coven , crowd , fold , gang , lot , network , pack , ring Synonyms: Adjective bent on or upon , bound , decisive , determined , do-or-die , firm , hell-bent on or upon , intent , out , purposeful , resolute , resolved , single-minded Antonyms: Verb liquefy also liquify , soften Antonyms: Adjective faltering , hesitant , indecisive , irresolute , undetermined , unresolved , vacillating , wavering , weak-kneed Visit the Thesaurus for More.

Examples of set in a Sentence Verb We need to set some extra chairs around the table. He set the ladder against the wall and walked away. I remember setting my bag right here. They set the bricks along the walkway. The jeweler can set the stone several different ways. The power set of an infinite either countable or uncountable set is always uncountable. Moreover, the power set of a set is always strictly "bigger" than the original set in the sense that there is no way to pair every element of S with exactly one element of P S.

There is never an onto map or surjection from S onto P S. The cardinality of the empty set is zero. For example, the set of all three-sided squares has zero members and thus is the empty set. Though it may seem trivial, the empty set, like the number zero , is important in mathematics. Indeed, the existence of this set is one of the fundamental concepts of axiomatic set theory.

Some sets have infinite cardinality. The set N of natural numbers , for instance, is infinite. Some infinite cardinalities are greater than others. For instance, the set of real numbers has greater cardinality than the set of natural numbers. However, it can be shown that the cardinality of which is to say, the number of points on a straight line is the same as the cardinality of any segment of that line, of the entire plane , and indeed of any finite-dimensional Euclidean space.

There are some sets or kinds of sets that hold great mathematical importance and are referred to with such regularity that they have acquired special names and notational conventions to identify them. Many of these sets are represented using blackboard bold or bold typeface.

Special sets of numbers include. Each of the above sets of numbers has an infinite number of elements, and each can be considered to be a proper subset of the sets listed below it. The primes are used less frequently than the others outside of number theory and related fields.

Two sets can be "added" together. A new set can also be constructed by determining which members two sets have "in common". Two sets can also be "subtracted". In certain settings all sets under discussion are considered to be subsets of a given universal set U.

An extension of the complement is the symmetric difference , defined for sets A , B as. The power set of any set becomes a Boolean ring with symmetric difference as the addition of the ring with the empty set as neutral element and intersection as the multiplication of the ring.

A new set can be constructed by associating every element of one set with every element of another set. Let A and B be finite sets; then the cardinality of the Cartesian product is the product of the cardinalities:. Set theory is seen as the foundation from which virtually all of mathematics can be derived. For example, structures in abstract algebra , such as groups , fields and rings , are sets closed under one or more operations. One of the main applications of naive set theory is constructing relations.

Given this concept, we are quick to see that the set F of all ordered pairs x , x 2 , where x is real, is quite familiar. It has a domain set R and a codomain set that is also R , because the set of all squares is subset of the set of all real numbers. The reason these two are equivalent is for any given value, y that the function is defined for, its corresponding ordered pair, y , y 2 is a member of the set F.

Although initially naive set theory , which defines a set merely as any well-defined collection, was well accepted, it soon ran into several obstacles.

A set is a well-defined collection of distinct objects. The objects that make up a set (also known as the set's elements or members) can be anything: numbers, people, letters of the alphabet, other sets, and so on. Georg Cantor, one of the founders of set theory, gave the following definition of a set at the beginning of his Beiträge zur Begründung der transfiniten Mengenlehre. Introduction to Sets. Forget everything you know about numbers. In fact, forget you even know what a number is. In sets it does not matter what order the elements are in. Example: {1,2,3,4} is the same set as {3,1,4,2} When we say "order" in sets we mean the size of the set. The GRE General Test Featuring question types that closely reflect the kind of thinking you'll do in today's demanding graduate-level programs, the GRE ® General Test lets you show schools you are ready to succeed.