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4, pp. 599-600 (nos. 157-158). [[4]] Ibid., 64. 3. [[5]] Ibid. 64. 4; SHA, Vita Taciti XIV. 2. Length of reign: 88 days, Chronicle of 354 A. Theodor Mommsen, Monumenta Germaniae Historica, vol. I, Chronica Minora, [Hereafter, Chron. Min. ] [Berlin, 1892]); two months, twenty days, Eutropius, ed. J. Hazard (New York, 1898). PIR dates Florian's reign from June 7, to September 9, 276. See v. Rohden, op. cit. for summary of the sources. [[6]] Brother: SHA Vita Taciti, XIII. 6, XIV. 4; Vita Probi, XI. 3, XIII. Other sources copied the error, e. g., Polemius Silvius, Chron. Min.. 522. Half brother with common mother: SHA, Vita Taciti, XVIII. 4. [[7]] Ronald Syme, Emperors and Biography (1971). Ronald Syme, (1971), p. 246. Syme notes that the Greek sources make no mention of any blood relationship at all between the two. [[8]] CIL XII, 1115; Dessau 593. The Historia Augusta claims that Tacitus had proposed a consulate for Florian but too late in the year; given the unreliability of this life, it is better to trust the inscription.
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For example, a website with a rank of 1 means it is the most popular website on Internet (i. e) and is on the first position of the Alexa global rank. ALEXA PAGEVIEWS Time Range Pageviews (%) Pageviews/User 3 Months 0. 058% ( +120%) 4. 2 ( -3%) 1 Month 0. 041% ( -52%) 3 ( -58%) 7 Days 0. 1% ( +200%) 3 ( +20%) 1 Day 0. 06% 2 Alexa Pageviews (%) is the estimated percent of the pageviews of the analyzed website, in respect to the global pageviews of Internet. For example, a pageviews value of 0. 2% means that on 1000 pageviews on Internet, 2 are related to the website analyzed. ALEXA TRAFFIC GRAPHS ADDITIONAL TOOLS
The following is the primary criterion for diagonalizability. It shows that diagonalizability is an eigenvalue problem. Diagonalization Theorem is diagonalizable if and only if A has n linearly independent eigenvectors. In this case, A for ||| v ··· E I I G λ 0 0 0 0............ 00 F J J H, where v 2,..., are linearly independent eigenvectors, and λ are the corresponding eigenvalues, in the same order. Proof By this fact in Section 5. 1, if an n distinct eigenvalues λ n, then a choice of corresponding eigenvectors v is automatically linearly independent. matrix with n distinct eigenvalues is diagonalizable. In the above example, the (non-invertible) matrix A 4 24 B is similar to the diagonal matrix D 00 02 B. Since A is not invertible, zero is an eigenvalue by the invertible matrix theorem, so one of the diagonal entries of D is necessarily zero. Also see this example below. Here is the procedure we used in the above examples. Recipe: Diagonalization Let A be an n matrix. To diagonalize A: Find the eigenvalues of A using the characteristic polynomial.