训诫 发表于 2025-3-26 21:10:34
Curves,curve with the curve mapping itself. The parametric representation of (the graph of) a space curve is not unique. The circle above can also be represented by .(.) = (1 −. .)/(l + .) and .(.) = 2./(l + .) for −∞ < h ≤ ∞; this follows by introducing tan(./2) for ..Memorial 发表于 2025-3-27 03:13:31
http://reply.papertrans.cn/48/4727/472678/472678_32.png外科医生 发表于 2025-3-27 08:46:09
http://reply.papertrans.cn/48/4727/472678/472678_33.png伟大 发表于 2025-3-27 10:08:03
http://reply.papertrans.cn/48/4727/472678/472678_34.pngtendinitis 发表于 2025-3-27 17:23:26
http://reply.papertrans.cn/48/4727/472678/472678_35.pngmaverick 发表于 2025-3-27 19:52:16
http://reply.papertrans.cn/48/4727/472678/472678_36.png咆哮 发表于 2025-3-28 01:43:59
Mathematical Preliminaries,inner product (also known as the dot product) and vector cross product operations. Although this episodic material is no substitute for previous exposure, it may be helpful to have some basic results presented here.等待 发表于 2025-3-28 02:43:31
Curves,y .(.) = cos(.) and .(.) = sin(.) for −π < . ≤ π; the argument . is called the . of the curve mapping .. The graph of . is thus (.(.),.(.)) | .(.) = cos(.), .(t) = sin(t), −π < t ≤ π. In general, a . is a mapping from some interval [.,.] , . into .. A . is a mapping from some interval [.,.],. into .TAIN 发表于 2025-3-28 08:20:12
http://reply.papertrans.cn/48/4727/472678/472678_39.pngEvocative 发表于 2025-3-28 12:45:36
Function and Space Curve Interpolation, .,…,. . in . or ., perhaps along given associated directions ., .,…, . ., with |.| ≠ 0 for . = 1, 2,…, .. Indeed, we could elaborate the interpretation of the direction vectors, .…, ., so that . = 0 would be taken to specify a sharp corner or . at ..