The set of real numbers is one of the one of the most fundamental objects in mathematics. In order to describe the real numbers we will introduce notation for some related objects. Let Z denote the set of integers. That is, Z =...

A real number line is a familiar way to picture various sets of numbers. For example, the divisions marked on a number line show the integers, which are the counting numbers {1, 2, 3,…}, with their opposites {-1, -2, -3,…}, with the...

Plainly stated, the real number system consists of zero, the positive and negative integers, fractions and the irrational numbers. Any number that can be represented as a point on a number line can be thought of as a real number, while the imaginary...

In mathematics, the real numbers may be described informally as numbers that can be given by an infinite decimal representation, such as 2.4871773339.... The real numbers include both rational numbers, such as 42 and −23/129, and irrational...

Indians at the bottom of India's Hindu caste system are attacked, raped and killed daily due to their status, even though the rigid social hierarchy has been outlawed for decades, an international human rights group said Tuesday.India has a strikingly uneven record of battling discrimination...

The Food and Drug Administration isn't paying enough attention to inspecting the growing amount of drugs produced by foreign manufacturers, say lawmakers who want the agency to update its approach.The head of the FDA is being called before a congressional committee Thursday to explain his...

The Food and Drug Administration isn't paying enough attention to inspecting the growing amount of drugs produced by foreign manufacturers, say lawmakers who want the agency to update its approach.The head of the FDA is being called before a congressional committee Thursday to explain his...

Critics say President Alvaro Uribe's government is manipulating statistics to make Colombia appear safer than it is, casting doubt on achievements that have made him popular both at home and with the U.S. government.One of the leading critics is Cesar Caballero, who said he quit...