Contents: Thanks for watching. At last, I guess you want an explicit expression of curvature for an arbitrary parametrised curve in plane. Yeah, I give it to you all. A bit early Christmas present from me. The climax is actually at the beginning. That’s to comprehend so-called arc length parameter. If you overcome and get the hand of the idea, the goal is almost there.
平面においてパラメータ曲線の各点の周りを円で近似したい、という動機や物理的には加速度の概念から曲率が導入されます。ここでは理論的に良い筋で紹介します。弧長パラメータの便利ささえわかればよいのですが、、、。
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I usually make videos about mathematics, but any kinds of topics which I find interesting and attractive. All I want to do is just discuss and talk about them, and communicate with people who are into maths, after all. I am afraid to say that I basically speak in Japanese in my videos; however, I am going to try and write things down in the way everyone can comprehend what they are, not without mathematics literacy at least :-).
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