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【段考】國二歷史上學期
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111年 - 暑期輔導歷史科第二堂:三代與先秦時期#110520
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#473367
1. (7%) Find the Laurent series representation of a function with center at z = j in the domain 1 ＜|z -j|＜ 2, j=.
#473369
2.(8%) Evaluate the following integral: where C denotes a counterclockwise simple closed contour |z| =3.
#473370
3. (15%) Compute the Fourier transformdt of a signum function f(t) detined as Each calculation step is required for obtaining the credit.
#473371
(a) (4%) If, where N denotes the set of all positive integers, then find positive integers β and such that {a1, a2, a3} is a linearly dependent set.
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(b) (4%) If a e N, find real β and γ such that{a1, a2, a3} is a linearly dependent set.
#473373
(C) (6%) Now let a = 2,β = -1, γ = -5, and let x be a nonzero vector in the null space N(A) of A. Find the value of k to satisfy ||x||1 + 2||x||∞ + k||x||2 = 0.
#473374
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