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109年 - 109 國立中山大學_碩士班招生考試_電機系(乙組):工程數學乙#106088
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題組內容
以下第24題到第25題需要簡明寫出計算過程,答案正確但沒有計算過程,將酌扣分數或不給分。
24. Let x - a be a vector in the vector space C[0,1] with inner product (f, g) =
(c) Find the best least squares approximation to x
2
on the interval [0,1] by a linear function.
其他申論題
4. Calculate the emitter injection efficiency. Assume the following transistor parameters:Doping concentrations in base and emitter are and . Widths of neutral base and enitter are = 0.8 um and = 0.5 pm.Minority carrier diffusion coefficients in base and emitter are = 20 cm2/s and = 10 cm2/s.
#452701
5. Calculate the threshold voltage shift due to short-channel effect. Consider an n-channel MOSFET with , channel length L = 1 um, diffused junction depth = 0.3 μm, oxide thickness , and dielectric constant of oxide is 3.9.
#452702
(a) Find a such that x - a is orthogonal to 1.
#452703
(b) Let S be the subspace of all linear functions in C[0,1]. Find an orthonormal basis {u1(x),u2(x)]for S.
#452704
25. Suppose x(k) = where k is an integer ranging from I to +oo, andCompute x(100).
#452706
沒有 【段考】國二數學下學期 權限,請先開通.
#452707
沒有 【段考】國二數學下學期 權限,請先開通.
#452708
沒有 【段考】國二數學下學期 權限,請先開通.
#452709
沒有 【段考】國二數學下學期 權限,請先開通.
#452710
沒有 【段考】國二數學下學期 權限,請先開通.
#452711