# Quick Answer: What Is A Not Well Defined Set In Math?

## What is not well defined set examples?

Example: “The collection of good students at MSUM” is not a set. All these questions indicate the statement is ambiguous, i.e., it is not clear which students are members of this collection, hence, the collection is not well – defined.

## What is meant by well defined?

1: having clearly distinguishable limits, boundaries, or features a well – defined scar. 2: clearly stated or described well – defined policies.

## How do you show well defined?

So to say that something is well – defined is to say that all three things are true. When we write f:X→Y we say three things:

1. f⊆X×Y.
2. The domain of f is X.
3. Whenever ⟨x,y1⟩,⟨x,y2⟩∈f then y1=y2. In this case whenever ⟨x,y⟩∈f we denote y by f(x).

## What is defined set in math?

A set in mathematics is a collection of well defined and distinct objects, considered as an object in its own right. The most basic properties are that a set “has” elements, and that two sets are equal (one and the same) if and only if every element of one is an element of the other.

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## What is a well defined function?

A function is well – defined if it gives the same result when the representation of the input is changed without changing the value of the input. For instance, if f takes real numbers as input, and if f(0.5) does not equal f(1/2) then f is not well – defined (and thus not a function ).

## What is the symbol of an empty set?

Empty Set: The empty set (or null set) is a set that has no members. Notation: The symbol ∅ is used to represent the empty set, { }. Note: { ∅ } does not symbolize the empty set; it represents a set that contains an empty set as an element and hence has a cardinality of one. Equal Sets.

## What is another word for well-defined?

precise, unambiguous, straightforward, distinct, clear-cut, explicit, transparent, apparent, audible, comprehensible, intelligible, legible, lucid, obvious, plain, sharp, understandable, lucent, graspable, spelled out.

## What is a well-defined problem?

Well – defined ( well -structured) problems are those that contain a clear specification of three elements of the problem space: the initial state (the problem situation), the set of operators (rules and strategies) to solve the problem, and the goal state (the solution).

## What is the word for explaining something in a different way?

Some common synonyms of explain are elucidate, explicate, expound, and interpret. While all these words mean “to make something clear or understandable,” explain implies a making plain or intelligible what is not immediately obvious or entirely known.

## How do you prove a function?

To prove a function, f: A → B is surjective, or onto, we must show f(A) = B. In other words, we must show the two sets, f(A) and B, are equal. We already know that f(A) ⊆ B if f is a well-defined function.

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## What is a well defined limit?

A limit is well – defined if and only if both the left-sided limits and the right-sided limits exist and are finite. In this case, the right-sided limit exists and is 0, since as, then the function approaches 0. On the other hand, the left-sided limit does not exist.

## What does Defined mean?

: to explain the meaning of (a word, phrase, etc.): to show or describe (someone or something) clearly and completely.: to show the shape, outline, or edge of (something) very clearly.

## What is proper set example?

A proper subset of a set A is a subset of A that is not equal to A. In other words, if B is a proper subset of A, then all elements of B are in A but A contains at least one element that is not in B. For example, if A={1,3,5} then B={1,5} is a proper subset of A.

## What do you call a set with no elements?

In mathematics, the empty set is the unique set having no elements; its size or cardinality (count of elements in a set ) is zero. Some axiomatic set theories ensure that the empty set exists by including an axiom of empty set, while in other theories, its existence can be deduced.

## How do you describe a set in words?

The Language of Sets A set is a collection of objects. Each of the objects in the set is an element. Two methods of describing sets are the roster method and set -builder notation. Example: B = {1, 2, 3, 4, 5} Example: C = {x| x ∈ N where x > 4} Example: Write B = {1, 4, 9, 16, …} in set builder notation. 