0
What else can I help you with?
Summation of a set of numbers?
That means to add all the numbers together.
Does the set of irrational numbers contain the set of real numbers?
Yes. If its irrational it just means that it continues forever with no real pattern. It can still have real numbers
What is complement of a set means?
The complement of a set refers to the elements that are not included in that set but are part of a larger universal set. For example, if the universal set is all natural numbers and set A consists of even numbers, the complement of set A would be all the odd numbers within the universal set. Mathematically, the complement of set A is often denoted as A'.
Is the image of an open set under a continuous mapping need not be open?
f(x) = x^{2} is a continuous function on the set R of real numbers, and (-1, 1) is an open set in R, but f(-1, 1) = [0, 1), and [0, 1) is not an open set in R. So, f is not an open function on R.
The densest subset of real numbers is the set of fractions?
Your question is ill-posed. I have not come across a comparison dense-denser-densest. The term "dense" is a topological property of a set: A set A is dense in a set B, if for all y in B, there is an open set O of B, such that O and A have nonempty intersection. The rational numbers are indeed dense in the set of real numbers with the standard topology. An open set containing a real number contains always a rational number. Another way of saying it is that every real number can be approximated to any precision by rational numbers. There are denser sets, if you are willing to consider more elements. Suppose you construct a set consisting of the rational numbers plus all algebraic numbers. The set of algebraic numbers is also countable, but adding them, makes it obviously easier to approximate real numbers. Can you perhaps construct a set less dense than the set of rational numbers? Suppose we take the set of rational numbers without the element 0. Is this set still dense in the real numbers? Yes, because 0 can be approximated by 1/n, n>1. In fact, you can remove finite number of rational numbers from the set of rational numbers and the resulting set will still be dense in the set of the real numbers.
Is the set of real numbers is an open set?
Yes.
Summation of a set of numbers?
That means to add all the numbers together.
What does a closed a circle in a number line mean?
A Closed Circle means that that number is INCLUDED in the line of numbers. An OPEN circle means the line of numbers go up to the given number , BUT does NOT include the given number.
What doen mean mean?
mean means the average or all the numbers in the set added together and then divided by the number of numbers in the set of numbers.
Does the set of irrational numbers contain the set of real numbers?
Yes. If its irrational it just means that it continues forever with no real pattern. It can still have real numbers
What does mean in math means?
The mean is the average of a set of numbers Mean/average = sum of the numbers in the set divided by the amount of numbers in the set
Are all numbers whole?
The integers are the set { ...,-3,-2,-1,0,1,2,3,...} where the ... means that the list continues forever. Since this set includes the negative numbers whihc are not whole numbers, the answer would be no. The whole numbers are the set {0,1,2,3,...}
What do you mean by countably infinite and infinite?
Countably infinite means you can set up a one-to-one correspondence between the set in question and the set of natural numbers. It can be shown that no such relationship can be established between the set of real numbers and the natural numbers, thus the set of real numbers is not "countable", but it is infinite.
When space is uncountable?
In mathematics, when a set is uncountable, it means that it has a cardinality greater than that of the set of natural numbers. For example, the set of real numbers is uncountable because there is no bijection between it and the set of natural numbers. It implies that the set is infinite and dense in some sense.
Are all integers whole numbers?
The integers are the set { ...,-3,-2,-1,0,1,2,3,...} where the ... means that the list continues forever. Since this set includes the negative numbers whihc are not whole numbers, the answer would be no. The whole numbers are the set {0,1,2,3,...}
What is the element of the intersection of the set of whole number and the set of natural numbers?
Well, honey, the intersection of the set of whole numbers and the set of natural numbers is the set of all positive integers. In other words, it's the numbers that are both whole and natural, which means it starts from 1 and goes on forever. So, there you have it, the sassy math lesson of the day!
What is the range of something?
If you mean for a set of numbers in maths then it means the difference between the highest and lowest numbers.
