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109年 - 109 國立臺灣大學_碩士班招生考試_資訊工程學研究所:數學(含線性代數和離散數學)#105828
> 申論題
2. (5%) What is the number of functions from {1,2....n}
m
to{1,2...，i}
j
?
相關申論題
3. (10%) Consider x1+x2+⋯+xn<r, where xi≥0 for 1 ≤i≤n. What is its number of nonnegative integer when n=4 and r=8?
#450913
4. (10%) Derive the solution for an that satisfies the recurrence equation
#450914
5. (10%) The generating function in partial fraction decomposition for the above recurrence equation is___________ .(Note that expressions like are not partial fraction decompositions.)
#450915
6. (10%) Prove the following inequality: where 2≤n.
#450916
7. (10%) If the polynomial function f(x) = ax4 + bx3+ cx2 + dx+ e satisfies, then a,6, c, d,e are______，_______ ，_________，________，_________， respectively.
#450917
8.(10%) The nullities of the matrices BBT - λ I for λ = 0,1,2,3,4 are______，_______ ，_________，________，_________， respectively.
#450918
9.(10%) Let Let The numbers of elements -2, -1,0, 1, 2 in a matrix B with are______，_______ ，_________，________，_________， respectively.
#450919
10. (10%) Ifthen the numbers of elements -2, -1 0, 1, 2 in a matrix B withare______，_______ ，_________，________，_________， respectively.
#450920
11. (10%) The numbers of elements 0, 1, 2, 3, 4 in a Jordan normal form of the matrixare______，_______ ，_________，________，_________， respectively.
#450921
4.4 With regard to the code in Problem 4.3, explain what the forwarding unit is doing during the sixth cycle of execution. If any comparisons are bcing made, mention them.
#450922
相關試卷
110年 - 110 國立臺灣大學_碩士班招生考試_資訊工程學研究所:數學(含線性代數、離散數學)#102151
110年 · #102151
109年 - 109 國立臺灣大學_碩士班招生考試_資訊工程學研究所:數學(含線性代數和離散數學)#105828
109年 · #105828
108年 - 108 國立臺灣大學_碩士班招生考試_資訊工程學研究所:數學(含線性代數和離散數學)#106050
108年 · #106050
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