User contributions for Espen180
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24 October 2009
23 October 2009
- 05:5105:51, 23 October 2009 diff hist +106 Definition talk:Inner Product No edit summary
- 05:5005:50, 23 October 2009 diff hist +58 Definition talk:Inner Product No edit summary
- 05:4805:48, 23 October 2009 diff hist +44 Cartesian Metric is Rotation Invariant No edit summary
- 05:4605:46, 23 October 2009 diff hist 0 Factor Matrix in the Inner Product No edit summary
- 05:4505:45, 23 October 2009 diff hist +29 Factor Matrix in the Inner Product No edit summary
- 05:4405:44, 23 October 2009 diff hist +40 User:Espen180 No edit summary
- 05:4305:43, 23 October 2009 diff hist +582 N Factor Matrix in the Inner Product Created page with '==Theorem== <math><A\mathbf{u},\mathbf{v}>=<\mathbf{u},A^T\mathbf{v}></math>, where <math>\mathbf{u}</math> and <math>\mathbf{v}</math> are both <math>1\times n</math> column …'
22 October 2009
- 22:4722:47, 22 October 2009 diff hist +30 User:Espen180 No edit summary
- 22:4622:46, 22 October 2009 diff hist +16 Definition:Outer Product No edit summary
- 22:4522:45, 22 October 2009 diff hist +1,123 N Definition:Outer Product Created page with '==Definition== Given two vectors <math>U=(u_1,u_2,...,u_m)</math> and <math>V=(v_1,v_2,...,v_n)</math>, their outer product <math>U\otimes V</math> is defined as <math>U\otimes…'
- 22:2522:25, 22 October 2009 diff hist +66 N Definition talk:Inner Product Created page with 'Maybe there is need for a proof that <math><Ax,y>=<x,A^Ty></math>?'
15 October 2009
- 22:2622:26, 15 October 2009 diff hist +105 Cartesian Metric is Rotation Invariant Added notes
- 17:5817:58, 15 October 2009 diff hist +36 User:Espen180 No edit summary
- 16:2416:24, 15 October 2009 diff hist +16 Definition:Vector Length No edit summary
- 16:2116:21, 15 October 2009 diff hist +26 Definition:Vector Length No edit summary
- 16:2016:20, 15 October 2009 diff hist +192 N Definition:Vector Length Created page with 'A vector <math>V</math> has components <math>V_i</math>, <math>1\leq i \leq n</math>, <math>i\in\mathbb{N}</math>. Then it's length is defined as <math>||V||=\sqrt{\sum_{i=1}^n …'
- 13:1713:17, 15 October 2009 diff hist 0 User:Espen180 No edit summary
14 October 2009
- 21:5821:58, 14 October 2009 diff hist +170 N User:Espen180 Created page with 'List of proofs, for own reference: Angular bisector vector Cartesian metric is rotation invariant Edges of Polyhedra have no Curvature Thales'_Theorem'
- 21:2921:29, 14 October 2009 diff hist +36 Edge of Polyhedron has no Curvature No edit summary
- 21:2921:29, 14 October 2009 diff hist +1,695 N Edge of Polyhedron has no Curvature Created page with '==Theorem== The edges of polyhedra have no curvature. ==Proof== Image:Curvature.png Let <math>X</math> and <math>Y</math> be two separate faces of a polyhedron separated …'
- 21:2821:28, 14 October 2009 diff hist 0 N File:Curvature.png No edit summary current
13 October 2009
- 20:4120:41, 13 October 2009 diff hist +19 Mathematician:Thales of Miletus No edit summary
- 20:2220:22, 13 October 2009 diff hist +27 Thales' Theorem No edit summary
- 20:2020:20, 13 October 2009 diff hist +1,566 N Thales' Theorem Created page with '==Theorem== If <math>A</math> and <math>B</math> are two points on opposite sides of a circle, and <math>C</math> is another point of the circle such that <math>C\neq A,B</math>…'
- 20:0920:09, 13 October 2009 diff hist +33 N File:Thales theorem.jpg Used in proof of Thales' Theorem. current
- 19:5219:52, 13 October 2009 diff hist +29 Cartesian Metric is Rotation Invariant No edit summary
12 October 2009
- 21:1521:15, 12 October 2009 diff hist +785 N Cartesian Metric is Rotation Invariant Created page with '==Theorem== The cartesian metric does not change under rotation. ==Proof== Let the cartesian metric be <math>\delta _{ij}=<e_i,e_j></math>. Also, let <m…'
7 October 2009
- 22:1022:10, 7 October 2009 diff hist +121 Talk:Angle Bisector Vector →Geometrical proof 2: new section
27 September 2009
- 14:4014:40, 27 September 2009 diff hist 0 Talk:Angle Bisector Vector No edit summary
- 14:4014:40, 27 September 2009 diff hist −2 Talk:Angle Bisector Vector No edit summary
- 14:3914:39, 27 September 2009 diff hist −3 Talk:Angle Bisector Vector No edit summary
- 14:3914:39, 27 September 2009 diff hist +167 Talk:Angle Bisector Vector No edit summary
26 September 2009
- 16:1916:19, 26 September 2009 diff hist +42 N File:Angular Bisector Vector Diagram.png Diagram for angular bisector vector proof.
30 April 2009
- 18:4318:43, 30 April 2009 diff hist +1,363 N Area of Circle New page: The area of a circle can be calculated by integration and use of trigonometric identities. '''NOTE: There is a fault somewhere in the integration. Without this fault, the correct fulmula ...
18 April 2009
- 17:0517:05, 18 April 2009 diff hist +345 Area of Square Added proof using integration of area,