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Lecture 4 Introduction to Spline Curves 4.1 Introduction to parametric spline curves Parametric formulation =r(u),y=y(u), z=2(u) or R=R(u)(vector notation) Usually applications need a finite range for u(e.g. 0
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Lecture 2 Differential geometry of curves 2.1 Definition of curves 2.1.1 Plane curves Implicit curves f(, y)=0 Example:x2+y2=a2 It is difficult to trace implicit curves It is easy to check if a point lies on the curve Multi-valued and closed curves can be represented
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答案1.1 1.(1)(x,y)y=y+(2)(x--)+(y-xy)2=12(3)xy+y=0 x-yiga y (4)(y-xy)(x-)=2a2(5)y-xy=x 提示:过点(x,y)的切线的横截距和纵截距分别为x-和y-xy y
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Probabilistic model Integrate over al!p(x1 Bel(x,)=ap(=;|x,)p(x1a1,=12a1-2,=0) ap(E, x )p(x, Ix, 1,a, p(|x,)p(x,1x1,a1)p(x1)d
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一、基带信号的频谱特性 研究基带信号的频谱结构是十分必要的,通过谱分析,我们可以了解信号需 要占据的频带宽度,所包含的频谱分量,有无直流分量,有无定时分量等。 设二进制的随机脉冲序列如图5-4(a)所示,其中1(t)表示“0”码,g2(t) 表示“1”码,g1(t)和g2(t)在实际中可以是任意的脉冲
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Index absorptance HT-54 cylindrical geometry see non-planar geometry absorption HT-57 adiabatic 0-5.0-9 Diesel cycle 2A-4 adiabatic efficiency see efficiency diffusivity ht-22 adiabatic flame temperature 2C-7 dissipation 1C-10 drag HT-24 Biot number HT-30, HT-36 black body HT-56, HT-63 see also
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1.已知某雷达天线的方位扫描范围为0°-360°,扫描周期为6s,方位波束宽度为2,脉冲 重复周期为12ms。 (1)如果侦察天线采用慢可靠方式搜索该雷达,要在2min内可靠的捕获该雷达的信号 应如何选择侦察天线的波束宽度和检测所需要的信号脉冲数量 (2)如果侦察天线采用快可
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Fourier series: Periodic signals and lti Systems ()=∑H(k k= ak一→H(ko)ak “g Soak-→|H(jkco)lkl H(7k)=1H(k0e∠B(ko) or powers of signals get modified through filter/system ncludes both amplitude phase akeJhwon
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Concept Question Which of the following statements is correct? Uo=U for ALL elastic materials(1 Uo=OijEij-U0 ONLY for linear elastic materials Jo=-ijEii for a nonlinear elastic material Statements(1) and 3)
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利用 Mathcad的内部 maximize和 minimize函数可以求多元函数的条件极值例1求函数u=x-2y+2x在条件x2+y2+2=1下的极值 1定义函数f(x,y,z)=x-2y+2z 2为各个自变量指定猜测值x1y=0z=-1 3将约束条件置于关键字 Given之后,用
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