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... labelled one for each of the natural numbers 1,2, ... ,n, .... A set X is countable if its elements are counted in some order as we count the natural numbers. A set which is not countable is said to be uncountable. Uncountable sets are obviously infinitelntuitively speaking, among infinite sets, cou ...
... labelled one for each of the natural numbers 1,2, ... ,n, .... A set X is countable if its elements are counted in some order as we count the natural numbers. A set which is not countable is said to be uncountable. Uncountable sets are obviously infinitelntuitively speaking, among infinite sets, cou ...
Introduction to Integers
... If two numbers have the same sign, they are on the same side of zero. If two numbers have the opposite signs, they are on the opposite sides of zero. -3 and -4.5 = Same side ...
... If two numbers have the same sign, they are on the same side of zero. If two numbers have the opposite signs, they are on the opposite sides of zero. -3 and -4.5 = Same side ...
Representing Integers
... You can graph positive and negative numbers on a number line. On a number line, opposites are the same distance from 0 but on different sides of 0. Integers are the set of all whole numbers and their opposites. Opposites ...
... You can graph positive and negative numbers on a number line. On a number line, opposites are the same distance from 0 but on different sides of 0. Integers are the set of all whole numbers and their opposites. Opposites ...
Complex Numbers
... So now our definition of numbers needs to include fractions…this is the set of rational numbers How about trying to take a square root of a number like 2? This means numbers has to include radicals….these are irrational numbers ...
... So now our definition of numbers needs to include fractions…this is the set of rational numbers How about trying to take a square root of a number like 2? This means numbers has to include radicals….these are irrational numbers ...
Infinity
Infinity (symbol: ∞) is an abstract concept describing something without any limit and is relevant in a number of fields, predominantly mathematics and physics.In mathematics, ""infinity"" is often treated as if it were a number (i.e., it counts or measures things: ""an infinite number of terms"") but it is not the same sort of number as natural or real numbers. In number systems incorporating infinitesimals, the reciprocal of an infinitesimal is an infinite number, i.e., a number greater than any real number; see 1/∞.Georg Cantor formalized many ideas related to infinity and infinite sets during the late 19th and early 20th centuries. In the theory he developed, there are infinite sets of different sizes (called cardinalities). For example, the set of integers is countably infinite, while the infinite set of real numbers is uncountable.