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110年 - 110 國立臺灣大學_碩士班招生考試_部分系所:材料科學(A)#100703
> 申論題
7. How the flexibility of polymer material affects its glass transition temperature and melting point? Why? (10%)
相關申論題
8. For the load-time cycle in figure (a), sketch schematic responses strain-versus-time for atactic poly(methy! methacrylate) at 0℃ and explain. (10%)
#421516
9. Please describe and compare the fundamental properties and the applications in devices for the following semiconductor materials (i) siticon (Si), (ii) gallium arsenide (GaAs), (iii) silicon carbide (SiC), and (iv) gallium nitride (GaN). Please explain the reasons.(12%)
#421517
10. What is the complex refractive index of materials? Please explain how the complex refractive index affects the surface reflection, transmission, and absorption of the materials with a thickness of d. (8%)
#421518
1. (25%) Show that the equation is exact, and obtain its general solution. Also, find the particular solution corresponding to the given initial condition as well.
#421519
(a) x'=y,y'=-x
#421520
(b) x'=xy, y'=-x
#421521
(a) (1,3,2,0),(4,1,-2,-2),(0,2,0,3),(4,7,1,2)
#421522
(b) (2,0,1.-1,0),(1,2.0.3.D),(4,-4.3.-9,-2)
#421523
4. (20%) It is known that the nxn tridiagonal matrixhas eigenvalues for j=1,2,... ..,n. (A is called tridiagonal because all elements are zero except for those on the main diagonal and the two adjacent diagonals.) Verify Bquation (1) by calculating the eigenvalues for n = 1 and n = 2.
#421524
(a) Is it possible for a matrix to have no eigenvalues? Explain.
#421525
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