DIFFERENCE EQUATION
\dˈɪfɹəns ɪkwˈe͡ɪʒən], \dˈɪfɹəns ɪkwˈeɪʒən], \d_ˈɪ_f_ɹ_ə_n_s ɪ_k_w_ˈeɪ_ʒ_ə_n]\
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A relation between consecutive elements of asequence. The first difference isD u(n) = u(n+1) - u(n)where u(n) is the nth element of sequence u. The seconddifference isD2 u(n) = D (D u(n))= (u(n+2) - u(n+1)) - (u(n+1) - u(n))= u(n+2) - 2u(n+1) + u(n)And so on. A recurrence relation such asu(n+2) + a u(n+1) + b u(n) = 0can be converted to a difference equation (in this case, asecond order linear difference equation):D2 u(n) + p D u(n) + q u(n) = 0and vice versa. a, b, p, q are constants.
By Denis Howe
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Platidiam
- An inorganic water-soluble platinum complex. After undergoing hydrolysis, it reacts DNA produce both intra interstrand crosslinks. These crosslinks appear to impair replication and transcription of DNA. The cytotoxicity cisplatin correlates with cellular arrest in G2 phase cell cycle.