347. Dose Distribution with TLSheet-II : Characteristics of LiF(Mg, Cu, P)

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Math 347 Worksheet : Induction Proofs , II — Solutions A

(For convenience, we define F0 = 0; with this definition, the recurrence relation Fn = Fn−1 + Fn−2 holds for all n ≥ 2 and the above matrix is well defined for all n ≥ 1.) Base case: When n = 1, the four entries of the matrix on the right are F2 = 1, F1 = 1, F1 = 1, and F0 = 0, so (∗) holds in this case. Induction step: Let k ∈ N be given and suppose (∗) holds for n = k. Then ( 1 1 1 0 )k+1 = (...

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ژورنال

عنوان ژورنال: Japanese Journal of Radiological Technology

سال: 1991

ISSN: 0369-4305,1881-4883

DOI: 10.6009/jjrt.kj00003324087