Lightning Talk (No.9) - The Essence of the Coordinate Transformation
詳細情報
| 日時 | 2026年06月06日 23:30 - 00:00 |
|---|---|
| テーマ | The Essence of the Coordinate Transformation |
| 発表者 | Chamonix_MBさん |
| 集会名 | VRChat International Science Community |
| 発表資料 |
Abstract
On the xy-plane, shifting the line y = 2x in the positive x-direction by 3 gives the equation y = 2(x − 3). It is important to note that the sign in terms of the difference in the expression changes; it is not y = 2(x + 3). This seemingly "confusing" feature may be one of the reasons many people give up on mathematics. To verify the correct sign, one can substitute specific values for x and y, which is the simplest way to check the result. However, this approach is rather ad hoc and can obscure the underlying logic. In contrast, the concepts of covariance and contravariance in tensor analysis enable us to generalise the reasoning and clarify the essence of the coordinate transformation.
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VRChat International Science Communityの開催情報・参加方法
VRChat International Science Community
開催日: 2026年06月06日
開催時間: 23:30 - 00:00
開催曜日: 土曜日開催周期: 隔週
Let's talk about science! We hold LTs (Lightning Talks) hosted by group members about once every two weeks. Feel free to join usǃ There's absolutely no need to worry about not knowing anyone of the…