5.6 – Complex Numbers
... What is a Complex Number??? • A complex number is made up of two parts – a real number and an imaginary number. • Imaginary numbers are defined to be the square root of -1 ...
... What is a Complex Number??? • A complex number is made up of two parts – a real number and an imaginary number. • Imaginary numbers are defined to be the square root of -1 ...
Roundoff Errors and Computer Arithmetic
... Arithmetic • The arithmetic performed by a calculator or computer is different from the arithmetic in algebra and calculus courses. • In our traditional mathematical world we permit numbers with an infinite number of digits. • The arithmetic we use in this world defines as that unique positive numbe ...
... Arithmetic • The arithmetic performed by a calculator or computer is different from the arithmetic in algebra and calculus courses. • In our traditional mathematical world we permit numbers with an infinite number of digits. • The arithmetic we use in this world defines as that unique positive numbe ...
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.