{"batchcomplete":"","continue":{"lecontinue":"20240403230647|216","continue":"-||"},"query":{"logevents":[{"logid":226,"ns":0,"title":"Dot product","pageid":105,"logpage":105,"revid":214,"params":{},"type":"create","action":"create","user":"Eric Lengyel","timestamp":"2024-12-25T01:17:21Z","comment":"Redirected page to [[Dot products]]"},{"logid":225,"ns":6,"title":"File:Sphere-dot-sphere.svg","pageid":104,"logpage":104,"revid":211,"params":{},"type":"create","action":"create","user":"Eric Lengyel","timestamp":"2024-08-28T01:55:17Z","comment":""},{"logid":224,"ns":6,"title":"File:Sphere-dot-sphere.svg","pageid":104,"logpage":104,"revid":211,"params":{"img_sha1":"gbykuoop9ca231p0tmvkztl5pitx55b","img_timestamp":"2024-08-28T01:55:17Z"},"type":"upload","action":"upload","user":"Eric Lengyel","timestamp":"2024-08-28T01:55:17Z","comment":""},{"logid":223,"ns":0,"title":"Dot products","pageid":103,"logpage":103,"revid":210,"params":{},"type":"create","action":"create","user":"Eric Lengyel","timestamp":"2024-08-28T01:50:58Z","comment":"Created page with \"The dot products between two unitized objects of the same type are listed in the following table. The vector $$\\mathbf v$$ is the difference between their center positions, and the scalars $$r_1$$ and $$r_2$$ are their radii. In the case of dipoles and circles, the vectors $$\\mathbf n_1$$ and $$\\mathbf n_2$$ correspond to the directions of the carrier lines or the normals of the carrier planes.  {| class=\"wikitable\" ! Type || Dot Product |- | style=\"padding: 12px;\" | Rou...\""},{"logid":222,"ns":0,"title":"Metrics","pageid":102,"logpage":102,"revid":200,"params":{},"type":"create","action":"create","user":"Eric Lengyel","timestamp":"2024-04-13T02:01:40Z","comment":"Created page with \"The ''metric'' used in the 5D conformal geometric algebra over 3D Euclidean space is the $$5 \\times 5$$ matrix $$\\mathfrak g$$ given by  :$$\\mathfrak g = \\begin{bmatrix} 1 & 0 & 0 & 0 & 0 \\\\ 0 & 1 & 0 & 0 & 0 \\\\ 0 & 0 & 1 & 0 & 0 \\\\ 0 & 0 & 0 & 0 & -1 \\\\ 0 & 0 & 0 & -1 & 0\\\\\\end{bmatrix}$$ .  The ''metric exomorphism matrix'' $$\\mathbf G$$, often just called the \"metric\" itself, corresponding to the metric $$\\mathfrak g$$ is the $$32 \\times 32$$ matrix shown below.  Im...\""},{"logid":221,"ns":6,"title":"File:Metric-cga-3d.svg","pageid":101,"logpage":101,"revid":199,"params":{},"type":"create","action":"create","user":"Eric Lengyel","timestamp":"2024-04-13T02:00:03Z","comment":""},{"logid":220,"ns":6,"title":"File:Metric-cga-3d.svg","pageid":101,"logpage":101,"revid":199,"params":{"img_sha1":"qfmu875mc0yni8h0aep1peqc5rn9cbi","img_timestamp":"2024-04-13T02:00:03Z"},"type":"upload","action":"upload","user":"Eric Lengyel","timestamp":"2024-04-13T02:00:03Z","comment":""},{"logid":219,"ns":6,"title":"File:AntiwedgeProduct.svg","pageid":94,"logpage":94,"params":{},"type":"delete","action":"delete","user":"Eric Lengyel","timestamp":"2024-04-03T23:07:11Z","comment":"Deleted old revision 20240403230709!AntiwedgeProduct.svg"},{"logid":218,"ns":6,"title":"File:AntiwedgeProduct.svg","pageid":94,"logpage":94,"revid":197,"params":{"img_sha1":"oqqtsfyev3uty6l714m44l1ctumvm5y","img_timestamp":"2024-04-03T23:07:09Z"},"type":"upload","action":"overwrite","user":"Eric Lengyel","timestamp":"2024-04-03T23:07:09Z","comment":""},{"logid":217,"ns":6,"title":"File:WedgeProduct.svg","pageid":93,"logpage":93,"params":{},"type":"delete","action":"delete","user":"Eric Lengyel","timestamp":"2024-04-03T23:06:50Z","comment":"Deleted old revision 20240403230647!WedgeProduct.svg"}]}}