Example i. Roman History by Titus Livy, M., 1887-1889, w. 1-6. All graphs K(Q, T) for those parts of History which describe periods of 750-500 b.c. and 510-293 b.c., proved to be virtually identical to the ideal ones, i.e., the overwhelming majority of names appearing in the description of a generation by Titus Livy for the first time were most frequently mentioned by Titus Livy in the description of this particular generation, then gradually lost and forgotten. Consequently, the frequency damping principle is confirmed, and the relative order of "generation chapters" within the parts of History by Titus Livy is most likely chronologically correct. On the contrary, in the comparison of the two indicated parts of the text by Titus Livy with each other, the frequency damping principle turned out to be false, which may indicate that the History by Titus Livy contains duplicates and repetitions.
Example 2. Liber Pontificalis, see , publ. T. Mommsen, Gestorum Pontificum Romanorum, 1898. This is the famous "Book of (Roman) Popes (pontiffs)". Out of this set of texts, let us pick the pieces describing the periods of
All frequency graphs K(Q, T) for indicated texts 1-4 prove to virtually coincide with the ideal one, which confirms the frequency damping principle and the correctness of "chapter" alignment within each of the enumerated historical fragments.
Let us note one of the consequences of this experiment. It turns out that "ancient names were not in fashion" over the course of substantial time intervals, which is by no means obvious. Surely, certain ancient names are still used today, for example, Peter, Mary, etc. But, as we discovered, these names are either not full, or the percentage of such "survived ancient" names is truly minute as compared to the bulk of names that"became extinct". The presence of rare "surviving" names means that over the course of movement from left to right, experimental graphs K(Q, T) decrease to a certain non-zero constant rather than zero.
Example 3. We used the following original sources as text X describing the period of 976-1341 a.d. in the history of Byzantium:
1) Mikhail Psell, Chronography, Moscow, 1987, describing the period of 976-1075.
2) Anna Comnena, An Abridged Legend about the Deeds of Czar Alexis Comnenus (1081-1118), St. Petersburg, 1859.
3) John Kinnam, A Brief Review of the Reign of John and Manuel Comnenus (1118-1180), St. Petersburg, 1859.
4) Nicetas Aconiatus, v. 1, History Beginning from the Reign of John Comnenus (1118-1185), St. Petersburg, 1860.
5) Nicetas Aconiatus, v. 2, History from the Time of Reign of John Comnenus (1186-1206), St. Petersburg, 1862.
6) George Acropolite, Cronicle (1203-1261), St. Petersburg, 1863.
7) George Pachymeres, Story of Michael andAndron-icus Palaeologi (1255-1282), St. Petersburg, 1862.
8) Nicephorus Gregoras, Roman History (1204-1341), St. Petersburg, 1862.
We processed all those texts by selecting all proper names therein, and calculating the frequency allocation of references thereto. Said collection of texts contains several dozen thousand mentions of full names, with multiplicities. All frequency graphs K(Q, T) in the intervals of 976-1200 and 1200-1341 appeared to be virtually identical with the ideal one. Thus, the frequency damping principle proved to be true. On the other hand, it became clear that the chronological order of the texts within each of the time intervals indicated is correct.
Examples E Gregorovius, The History of the City of Rome in the Middle Ages, St. Petersburg, vols. 1-6, 1902-1912. The parts picked out from this text describe
Each of the fragments was divided into "generation chapters". We selected all proper names and traced the frequency of references thereto. The complete reservoir of names contains several dozen thousand references. The frequency damping principle proved to be true, and the enumeration (ordering) of "chapters" in each of the texts 1-4 is chronologically correct.
A similar result is obtained also for Kohlrausch's monograph The History of Germany, Moscow, Volumes 1-2,1860, out of which we picked the pieces describing
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