|
|
| (21 intermediate revisions by 3 users not shown) |
| Line 1: |
Line 1: |
| − | [[Category:Glossary]] | + | *[[Distributed Space]] ''- Research on the kind of network space required by [[the project]]'' |
| − | *Organising some notes about spacetime fundamentals from pedia | + | *[[Conceptual Space]] ''- About the space of perceived experience referred to by [[w:Taoism|Taoism]] and [[w:Advaita vedanta|Advaita vedanta]]'' |
| | + | *[[Node Space]] ''- The first attempt at designing a network space for [[the project]]'' |
| | + | *[[Hilbert space]] |
| | + | *[[Space & Time]] |
| | | | |
| − | | + | == See also == |
| − | ;The fundamental theorem of algebra
| + | *[[Sacred geometry]] |
| − | In [[w:mathematics|mathematics]], the [[w:fundamental theorem of algebra|fundamental theorem of algebra]] states that every complex [[w:polynomial|polynomial]] <math>p(z)</math> in one variable and of [[w:degree of a polynomial|degree]] <math>n</math> ≥ <math>1</math> has some complex [[w:root (mathematics)|root]]. In other words, the [[w:field (mathematics)|field]] of [[w:complex number|complex number]]s is [[w:algebraically closed field|algebraically closed]] and therefore, as for any other algebraically closed field, the equation <math>p(z)=0</math> has <math>n</math> roots ([[w:multiple roots of a polynomial|not necessarily distinct]]).
| + | *[http://tetryonics101.com/ Tetryonics] |
| − | | |
| − | The name of the theorem is now considered a [[w:misnomer|misnomer]] by many mathematicians, since it is an instance of [[w:mathematical analysis|analysis]] rather than [[w:algebra|algebra]].
| |
| − | | |
| − | | |
| − | ;Algebraically closed field
| |
| − | In mathematics, a [[w:field (mathematics)|field]] <math>F</math> is said to be [[w:algebraically closed|algebraically closed]] if every polynomial in one variable of degree at least <math>1</math>, with [[w:coefficient|coefficient]]s in <math>F</math>, has a zero ([[w:root (mathematics)|root]]) in <math>F</math>.
| |
| − | | |
| − | | |
| − | ;What is a ''field''?
| |
| − | In [[w:abstract algebra|abstract algebra]], a [[w:field|field]] is an [[w:algebraic structure|algebraic structure]] in which the operations of addition, subtraction, multiplication and [[w:division (mathematics)|division]] (except division by zero) may be performed, and the same rules hold which are familiar from the [[w:arithmetic|arithmetic]] of ordinary [[w:number|number]]s.
| |
| − | | |
| − | The mathematical discipline concerned with the study of fields is called [[w:field theory (mathematics)|field theory]].
| |
