Transcendental number - Revision history

Mark at 10:22, 24 March 2014

2014-03-24T10:22:52Z

Mark at 10:21, 24 March 2014

2014-03-24T10:21:19Z

Mark: Created page with "A single transcendental number has the complexity to represent an itofazpath. The Transcendental number and real numbers that can do this are called epistemol..."

2014-03-24T10:18:52Z

Created page with "A single transcendental number has the complexity to represent an itofazpath. The Transcendental number and real numbers that can do this are called epistemol..."

New page

A single [[transcendental number]] has the complexity to represent an [[itofazpath]]. The [[Transcendental number]] and [[real number]]s that can do this are called epistemological numbers. A conversion algorithm is frequently needed to convert the transcendental number into a more useful form of knowledge. This process can be done in the same way that a digital (binary) form of number is converted into sound and video from a CD.

In mathematics, a transcendental number is a (possibly complex) number that is not algebraic—that is, it is not a root of a non-zero polynomial equation with rational coefficients. The most prominent examples of transcendental numbers are π and e. Though only a few classes of transcendental numbers are known (in part because it can be extremely difficult to show that a given number is transcendental), transcendental numbers are not rare. Indeed, almost all real and complex numbers are transcendental, since the algebraic numbers are countable while the sets of real and complex numbers are both uncountable. All real transcendental numbers are irrational, since all rational numbers are algebraic. The converse is not true: not all irrational numbers are transcendental; e.g., the square root of 2 is irrational but not a transcendental number, since it is a solution of the polynomial equation x2 − 2 = 0. http://en.wikipedia.org/wiki/Transcendental_number

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−	A single [[transcendental number]] has the complexity to represent an [[itofazpath]]. The [[~~Transcendental~~ number]] and [[real number]]s that can do this are called epistemological numbers. A conversion algorithm is frequently needed to convert the transcendental number into a more useful form of knowledge. This process can be done in the same way that a digital (binary) form of number is converted into sound and video from a CD.	+	A single [[transcendental number]] has the complexity to represent an [[itofazpath]]. The [[transcendental number]] and [[real number]]s that can do this are called [[epistemological numbers]]. A conversion algorithm is frequently needed to convert the transcendental number into a more useful form of knowledge. This process can be done in the same way that a digital (binary) form of number is converted into sound and video from a CD.


	In mathematics, a transcendental number is a (possibly complex) number that is not algebraic—that is, it is not a root of a non-zero polynomial equation with rational coefficients. The most prominent examples of transcendental numbers are π and e. Though only a few classes of transcendental numbers are known (in part because it can be extremely difficult to show that a given number is transcendental), transcendental numbers are not rare. Indeed, almost all real and [[complex number]]s are transcendental, since the [[algebraic number]]s are countable while the sets of real and [[complex number]]s are both uncountable. All real [[transcendental number]]s are irrational, since all rational numbers are algebraic. The converse is not true: not all [[irrational number]]s are transcendental; e.g., the square root of 2 is irrational but not a transcendental number, since it is a solution of the polynomial equation x2 − 2 = 0. http://en.wikipedia.org/wiki/Transcendental_number		In mathematics, a transcendental number is a (possibly complex) number that is not algebraic—that is, it is not a root of a non-zero polynomial equation with rational coefficients. The most prominent examples of transcendental numbers are π and e. Though only a few classes of transcendental numbers are known (in part because it can be extremely difficult to show that a given number is transcendental), transcendental numbers are not rare. Indeed, almost all real and [[complex number]]s are transcendental, since the [[algebraic number]]s are countable while the sets of real and [[complex number]]s are both uncountable. All real [[transcendental number]]s are irrational, since all rational numbers are algebraic. The converse is not true: not all [[irrational number]]s are transcendental; e.g., the square root of 2 is irrational but not a transcendental number, since it is a solution of the polynomial equation x2 − 2 = 0. http://en.wikipedia.org/wiki/Transcendental_number

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−	In mathematics, a transcendental number is a (possibly complex) number that is not algebraic—that is, it is not a root of a non-zero polynomial equation with rational coefficients. The most prominent examples of transcendental numbers are π and e. Though only a few classes of transcendental numbers are known (in part because it can be extremely difficult to show that a given number is transcendental), transcendental numbers are not rare. Indeed, almost all real and complex ~~numbers~~ are transcendental, since the algebraic ~~numbers~~ are countable while the sets of real and complex ~~numbers~~ are both uncountable. All real transcendental ~~numbers~~ are irrational, since all rational numbers are algebraic. The converse is not true: not all irrational ~~numbers~~ are transcendental; e.g., the square root of 2 is irrational but not a transcendental number, since it is a solution of the polynomial equation x2 − 2 = 0. http://en.wikipedia.org/wiki/Transcendental_number	+	In mathematics, a transcendental number is a (possibly complex) number that is not algebraic—that is, it is not a root of a non-zero polynomial equation with rational coefficients. The most prominent examples of transcendental numbers are π and e. Though only a few classes of transcendental numbers are known (in part because it can be extremely difficult to show that a given number is transcendental), transcendental numbers are not rare. Indeed, almost all real and [[complex number]]s are transcendental, since the [[algebraic number]]s are countable while the sets of real and [[complex number]]s are both uncountable. All real [[transcendental number]]s are irrational, since all rational numbers are algebraic. The converse is not true: not all [[irrational number]]s are transcendental; e.g., the square root of 2 is irrational but not a transcendental number, since it is a solution of the polynomial equation x2 − 2 = 0. http://en.wikipedia.org/wiki/Transcendental_number