Methods for the Statistical Analysis of Narrative Texts
Identifieur interne : 001202 ( Main/Exploration ); précédent : 001201; suivant : 001203Methods for the Statistical Analysis of Narrative Texts
Auteurs : A. T. Fomenko [Russie]Source :
English descriptors
- Teeft :
- Abbreviated form, Abbreviation, Absolute maximum, Additional relation measure, Akademicheskaya letopis, Alberic, Alexandrian date, Ancient event, Ancient greece, Ancient map, Ancient text, Anjou, Anomalously, Antoninus pius, Approximate form, Arcadius, Assyria, Astronomical date, Augustus, Authentic datum, Authentic event, Authentic history, Average shift, Avignon, Avignon exile, Babylonian, Babylonian captivity, Basic date, Basic feature, Basic parallel, Basic shift, Basil, Bell son, Biblical chronology, Biblical event, Biblical israeli rule, Biblical king, Biblical kingdom, Biblical name, Black triangle, Byzantine, Byzantine date, Byzantine empire, Byzantine history, Captivity, Carolingian, Certain frequency histogram, Certain part, Chapter generation, Chapter volume, Charles martell, Chlorus, Chronicle, Chronicler, Chronological, Chronological list, Chronological shift, Chronologist, Chronology, Church ruler, Coincident, Column coincident, Common inverse image, Common name, Complete collection, Complete information, Complete list, Complete table, Concrete map, Confusion period, Considerable number, Constantine viii, Constantius, Constantius chlorus, Coronation, Correct chronology, Correct feature, Correct list, Correct order, Corresponding parallelepiped, Cosmas indicopleustes, Creation ofthe world, Date shift, Datum, Dependence direction, Dependent text, Diagonal parallel, Diego ribeiro, Different abbreviation, Different chronicler, Different date, Different epoch, Different name, Different text, Dionysius, Dionysius petavius, Distribution function, Dvinskaya chronicle, Dvinskoy letopisets, Dynastic, Dynastic parallel, Dynastic stream, Dynasty, Eastern empire, Eastern roman empire, Empire, Essential relation, Essential relation matrix, European history, Famous emperor, Fibered chronicle, Figure parallel, Final deck, Finite sample, First basic shift, First battle, First book, First byzantine empire, First half, First letter, First period, First roman, First roman empire, First time, Frequency, Frequency distribution, Frequency distribution statistical parallel, Frequency distribution table, Frequency histogram, General case, General distribution, General machinery, General structure, Genesis, Geographic map, Geographic name, Geographical knowledge, German coronation, Global, Global chronological diagram, Global chronology, Goth, Gothic, Graph, Great emperor, Great greek colonization, Great schism, Greek culture, Gregory, Gregory hildebrand, Hapsburg, Hapsburg empire, Hebrew date, Herodotus, High accuracy, Hildebrand, Histogram, Histogram maximum, Historical datum, Historical event, Historical period, Historical source, Historical table, Historical text, History museum, Holy empire, Holy roman emperor, Holy roman empire, Horizontal axis, Hoshea, Ibid, Incorrect chronology, Incorrect feature, Incorrect list, Independent medieval greece, Independent numerical dynasty, Independent text, Indian ocean, Initial order, Integer part, Jeroboam, Jewish date, Judah, Julia maesa, Julius caesar, Justinian, Large number, Large time interval, Latin letter, Letopis, Letopisets, Literal abbreviation, Local condition, Local maximum, Local relation, Looth year, Lothair, Main parallel, Manfred, Many time, Marcus aurelius, Matrix, Matrix column, Maximum correlation principle, Maximus caesar, Medieval document, Medieval europe, Medieval greece, Medieval history, Medieval papal rome, Medieval roman history, Middle age, Middle year, Minor number, More ancient, More precise, Morozov, Morozov biblical kingdom, Moscow history museum, Mutual disposition, Name first, Name list, Name pair, Naples, Narrative source, Narrative text, Narrative text figure, Narrative text table, Nationality, Nationality first, Nationality list, Natural idea, Neighbourhood, Neighbourhood pair, Nika riot, Normed source, Norming procedure, Nosovsky, Numerical dynasty, Octavianus, Octavianus augustus, Odoacer, Ofthe, Original deck, Original meaning, Other hand, Other independent proof, Other text, Other word, Otto, Ottoman sultanate, Parallel biblical passage, Parallel passage, Parent population, Permutation, Persian gulf, Persian war, Personage, Personal name, Petavius, Philip ghibelline, Poisson distribution, Pope adrian, Pope alexander, Pope gregory, Pope hildebrand, Pope john, Pope ruling, Possible explanation, Povest, Present time, Principal character, Principal definition, Principal diagonal, Probability increase, Probability space, Prophet elisha, Proximity coefficient, Proximity measure, Quantitative characteristic, Random variable, Real number, Rectangular matrix, Rectangular name matrix, Regal, Regal rome, Relation increase, Relation matrix, Relation measure, Relative order, Religious war, Ricimer, Right column, Rigid shift, Rigid shift figure, Roman army commander, Roman coronation, Roman emperor, Roman empire, Roman episcopate, Roman history, Roman king, Roman numeral, Roman pope, Roman pope frequendes, Roman senate, Roman throne, Romulus, Romulus augustulus, Rule duration, Rule variation, Ruler, Russian edition, Sacro bosco, Samaritan date, Same date, Same event, Same horizontal axis, Same method, Same number, Same order, Same result, Same year, Saxon dynasty, Scattering, Schism, Second basic shift, Second book, Second byzantine empire, Second expedition, Second period, Second roman, Second roman empire, Second version, Secondary parallel, Separation sign, Septimius severus, Several deck, Several name, Several ten, Shift value, Shorter version, Similar mechanism, Similar piece, Skazaniye, Skazaniye avraamiya, Small number, Small probability, Small town, Special frequency histogram, Square matrix, Statistical, Statistical analysis, Statistical parallel, Strong relation, Subsequent map, Tarquin, Terrestrial globe, Textual dependence, Theodora, Theodoric, Theodosius, Third basic shift, Third byzantine empire, Third byzantine empire second byzantine empire, Third roman empire, Third roman empire table, Tiberius, Time axis, Time interval, Total number, Total shift, Traditional chronology, Traditional date, Traditional dating, Traditional localization, Trojan, Troy, Typical shift, Tyre, Unique name, Up line, Valens, Valentinian, Variance, Verbal formula, Vertical axis, Vertical line, Volume function, Volume graph, Water reservoir, Weak relation, Western roman empire, Western third roman empire, Whole procedure, Whole series, Xiii, Year count, Year long, Zeroth year, Zhytiye dmitriya.
Abstract
Abstract: The coefficient d(X,Y) permitting us to estimate quantitatively the stability of the maximum principle relative to original data perturbations was introduced in Part 1, Ch. 2, § 4. We give here a short description of it, and recall the basic related concepts. Let t 1(X), ..., t p (X) be the years in the time interval (A, B) in which the volume graph for a narrative text X exhibits splashes (= spikes or peaks). Suppose that the vector T(X) = (t 1(X), ..., t p (X)) is related to the “authentic event” vector T(A, B) where (A, B) is the period described in the text.
Url:
DOI: 10.1007/978-94-017-1413-6_1
Affiliations:
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<profileDesc><textClass><keywords scheme="Teeft" xml:lang="en"><term>Abbreviated form</term>
<term>Abbreviation</term>
<term>Absolute maximum</term>
<term>Additional relation measure</term>
<term>Akademicheskaya letopis</term>
<term>Alberic</term>
<term>Alexandrian date</term>
<term>Ancient event</term>
<term>Ancient greece</term>
<term>Ancient map</term>
<term>Ancient text</term>
<term>Anjou</term>
<term>Anomalously</term>
<term>Antoninus pius</term>
<term>Approximate form</term>
<term>Arcadius</term>
<term>Assyria</term>
<term>Astronomical date</term>
<term>Augustus</term>
<term>Authentic datum</term>
<term>Authentic event</term>
<term>Authentic history</term>
<term>Average shift</term>
<term>Avignon</term>
<term>Avignon exile</term>
<term>Babylonian</term>
<term>Babylonian captivity</term>
<term>Basic date</term>
<term>Basic feature</term>
<term>Basic parallel</term>
<term>Basic shift</term>
<term>Basil</term>
<term>Bell son</term>
<term>Biblical chronology</term>
<term>Biblical event</term>
<term>Biblical israeli rule</term>
<term>Biblical king</term>
<term>Biblical kingdom</term>
<term>Biblical name</term>
<term>Black triangle</term>
<term>Byzantine</term>
<term>Byzantine date</term>
<term>Byzantine empire</term>
<term>Byzantine history</term>
<term>Captivity</term>
<term>Carolingian</term>
<term>Certain frequency histogram</term>
<term>Certain part</term>
<term>Chapter generation</term>
<term>Chapter volume</term>
<term>Charles martell</term>
<term>Chlorus</term>
<term>Chronicle</term>
<term>Chronicler</term>
<term>Chronological</term>
<term>Chronological list</term>
<term>Chronological shift</term>
<term>Chronologist</term>
<term>Chronology</term>
<term>Church ruler</term>
<term>Coincident</term>
<term>Column coincident</term>
<term>Common inverse image</term>
<term>Common name</term>
<term>Complete collection</term>
<term>Complete information</term>
<term>Complete list</term>
<term>Complete table</term>
<term>Concrete map</term>
<term>Confusion period</term>
<term>Considerable number</term>
<term>Constantine viii</term>
<term>Constantius</term>
<term>Constantius chlorus</term>
<term>Coronation</term>
<term>Correct chronology</term>
<term>Correct feature</term>
<term>Correct list</term>
<term>Correct order</term>
<term>Corresponding parallelepiped</term>
<term>Cosmas indicopleustes</term>
<term>Creation ofthe world</term>
<term>Date shift</term>
<term>Datum</term>
<term>Dependence direction</term>
<term>Dependent text</term>
<term>Diagonal parallel</term>
<term>Diego ribeiro</term>
<term>Different abbreviation</term>
<term>Different chronicler</term>
<term>Different date</term>
<term>Different epoch</term>
<term>Different name</term>
<term>Different text</term>
<term>Dionysius</term>
<term>Dionysius petavius</term>
<term>Distribution function</term>
<term>Dvinskaya chronicle</term>
<term>Dvinskoy letopisets</term>
<term>Dynastic</term>
<term>Dynastic parallel</term>
<term>Dynastic stream</term>
<term>Dynasty</term>
<term>Eastern empire</term>
<term>Eastern roman empire</term>
<term>Empire</term>
<term>Essential relation</term>
<term>Essential relation matrix</term>
<term>European history</term>
<term>Famous emperor</term>
<term>Fibered chronicle</term>
<term>Figure parallel</term>
<term>Final deck</term>
<term>Finite sample</term>
<term>First basic shift</term>
<term>First battle</term>
<term>First book</term>
<term>First byzantine empire</term>
<term>First half</term>
<term>First letter</term>
<term>First period</term>
<term>First roman</term>
<term>First roman empire</term>
<term>First time</term>
<term>Frequency</term>
<term>Frequency distribution</term>
<term>Frequency distribution statistical parallel</term>
<term>Frequency distribution table</term>
<term>Frequency histogram</term>
<term>General case</term>
<term>General distribution</term>
<term>General machinery</term>
<term>General structure</term>
<term>Genesis</term>
<term>Geographic map</term>
<term>Geographic name</term>
<term>Geographical knowledge</term>
<term>German coronation</term>
<term>Global</term>
<term>Global chronological diagram</term>
<term>Global chronology</term>
<term>Goth</term>
<term>Gothic</term>
<term>Graph</term>
<term>Great emperor</term>
<term>Great greek colonization</term>
<term>Great schism</term>
<term>Greek culture</term>
<term>Gregory</term>
<term>Gregory hildebrand</term>
<term>Hapsburg</term>
<term>Hapsburg empire</term>
<term>Hebrew date</term>
<term>Herodotus</term>
<term>High accuracy</term>
<term>Hildebrand</term>
<term>Histogram</term>
<term>Histogram maximum</term>
<term>Historical datum</term>
<term>Historical event</term>
<term>Historical period</term>
<term>Historical source</term>
<term>Historical table</term>
<term>Historical text</term>
<term>History museum</term>
<term>Holy empire</term>
<term>Holy roman emperor</term>
<term>Holy roman empire</term>
<term>Horizontal axis</term>
<term>Hoshea</term>
<term>Ibid</term>
<term>Incorrect chronology</term>
<term>Incorrect feature</term>
<term>Incorrect list</term>
<term>Independent medieval greece</term>
<term>Independent numerical dynasty</term>
<term>Independent text</term>
<term>Indian ocean</term>
<term>Initial order</term>
<term>Integer part</term>
<term>Jeroboam</term>
<term>Jewish date</term>
<term>Judah</term>
<term>Julia maesa</term>
<term>Julius caesar</term>
<term>Justinian</term>
<term>Large number</term>
<term>Large time interval</term>
<term>Latin letter</term>
<term>Letopis</term>
<term>Letopisets</term>
<term>Literal abbreviation</term>
<term>Local condition</term>
<term>Local maximum</term>
<term>Local relation</term>
<term>Looth year</term>
<term>Lothair</term>
<term>Main parallel</term>
<term>Manfred</term>
<term>Many time</term>
<term>Marcus aurelius</term>
<term>Matrix</term>
<term>Matrix column</term>
<term>Maximum correlation principle</term>
<term>Maximus caesar</term>
<term>Medieval document</term>
<term>Medieval europe</term>
<term>Medieval greece</term>
<term>Medieval history</term>
<term>Medieval papal rome</term>
<term>Medieval roman history</term>
<term>Middle age</term>
<term>Middle year</term>
<term>Minor number</term>
<term>More ancient</term>
<term>More precise</term>
<term>Morozov</term>
<term>Morozov biblical kingdom</term>
<term>Moscow history museum</term>
<term>Mutual disposition</term>
<term>Name first</term>
<term>Name list</term>
<term>Name pair</term>
<term>Naples</term>
<term>Narrative source</term>
<term>Narrative text</term>
<term>Narrative text figure</term>
<term>Narrative text table</term>
<term>Nationality</term>
<term>Nationality first</term>
<term>Nationality list</term>
<term>Natural idea</term>
<term>Neighbourhood</term>
<term>Neighbourhood pair</term>
<term>Nika riot</term>
<term>Normed source</term>
<term>Norming procedure</term>
<term>Nosovsky</term>
<term>Numerical dynasty</term>
<term>Octavianus</term>
<term>Octavianus augustus</term>
<term>Odoacer</term>
<term>Ofthe</term>
<term>Original deck</term>
<term>Original meaning</term>
<term>Other hand</term>
<term>Other independent proof</term>
<term>Other text</term>
<term>Other word</term>
<term>Otto</term>
<term>Ottoman sultanate</term>
<term>Parallel biblical passage</term>
<term>Parallel passage</term>
<term>Parent population</term>
<term>Permutation</term>
<term>Persian gulf</term>
<term>Persian war</term>
<term>Personage</term>
<term>Personal name</term>
<term>Petavius</term>
<term>Philip ghibelline</term>
<term>Poisson distribution</term>
<term>Pope adrian</term>
<term>Pope alexander</term>
<term>Pope gregory</term>
<term>Pope hildebrand</term>
<term>Pope john</term>
<term>Pope ruling</term>
<term>Possible explanation</term>
<term>Povest</term>
<term>Present time</term>
<term>Principal character</term>
<term>Principal definition</term>
<term>Principal diagonal</term>
<term>Probability increase</term>
<term>Probability space</term>
<term>Prophet elisha</term>
<term>Proximity coefficient</term>
<term>Proximity measure</term>
<term>Quantitative characteristic</term>
<term>Random variable</term>
<term>Real number</term>
<term>Rectangular matrix</term>
<term>Rectangular name matrix</term>
<term>Regal</term>
<term>Regal rome</term>
<term>Relation increase</term>
<term>Relation matrix</term>
<term>Relation measure</term>
<term>Relative order</term>
<term>Religious war</term>
<term>Ricimer</term>
<term>Right column</term>
<term>Rigid shift</term>
<term>Rigid shift figure</term>
<term>Roman army commander</term>
<term>Roman coronation</term>
<term>Roman emperor</term>
<term>Roman empire</term>
<term>Roman episcopate</term>
<term>Roman history</term>
<term>Roman king</term>
<term>Roman numeral</term>
<term>Roman pope</term>
<term>Roman pope frequendes</term>
<term>Roman senate</term>
<term>Roman throne</term>
<term>Romulus</term>
<term>Romulus augustulus</term>
<term>Rule duration</term>
<term>Rule variation</term>
<term>Ruler</term>
<term>Russian edition</term>
<term>Sacro bosco</term>
<term>Samaritan date</term>
<term>Same date</term>
<term>Same event</term>
<term>Same horizontal axis</term>
<term>Same method</term>
<term>Same number</term>
<term>Same order</term>
<term>Same result</term>
<term>Same year</term>
<term>Saxon dynasty</term>
<term>Scattering</term>
<term>Schism</term>
<term>Second basic shift</term>
<term>Second book</term>
<term>Second byzantine empire</term>
<term>Second expedition</term>
<term>Second period</term>
<term>Second roman</term>
<term>Second roman empire</term>
<term>Second version</term>
<term>Secondary parallel</term>
<term>Separation sign</term>
<term>Septimius severus</term>
<term>Several deck</term>
<term>Several name</term>
<term>Several ten</term>
<term>Shift value</term>
<term>Shorter version</term>
<term>Similar mechanism</term>
<term>Similar piece</term>
<term>Skazaniye</term>
<term>Skazaniye avraamiya</term>
<term>Small number</term>
<term>Small probability</term>
<term>Small town</term>
<term>Special frequency histogram</term>
<term>Square matrix</term>
<term>Statistical</term>
<term>Statistical analysis</term>
<term>Statistical parallel</term>
<term>Strong relation</term>
<term>Subsequent map</term>
<term>Tarquin</term>
<term>Terrestrial globe</term>
<term>Textual dependence</term>
<term>Theodora</term>
<term>Theodoric</term>
<term>Theodosius</term>
<term>Third basic shift</term>
<term>Third byzantine empire</term>
<term>Third byzantine empire second byzantine empire</term>
<term>Third roman empire</term>
<term>Third roman empire table</term>
<term>Tiberius</term>
<term>Time axis</term>
<term>Time interval</term>
<term>Total number</term>
<term>Total shift</term>
<term>Traditional chronology</term>
<term>Traditional date</term>
<term>Traditional dating</term>
<term>Traditional localization</term>
<term>Trojan</term>
<term>Troy</term>
<term>Typical shift</term>
<term>Tyre</term>
<term>Unique name</term>
<term>Up line</term>
<term>Valens</term>
<term>Valentinian</term>
<term>Variance</term>
<term>Verbal formula</term>
<term>Vertical axis</term>
<term>Vertical line</term>
<term>Volume function</term>
<term>Volume graph</term>
<term>Water reservoir</term>
<term>Weak relation</term>
<term>Western roman empire</term>
<term>Western third roman empire</term>
<term>Whole procedure</term>
<term>Whole series</term>
<term>Xiii</term>
<term>Year count</term>
<term>Year long</term>
<term>Zeroth year</term>
<term>Zhytiye dmitriya</term>
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<front><div type="abstract" xml:lang="en">Abstract: The coefficient d(X,Y) permitting us to estimate quantitatively the stability of the maximum principle relative to original data perturbations was introduced in Part 1, Ch. 2, § 4. We give here a short description of it, and recall the basic related concepts. Let t 1(X), ..., t p (X) be the years in the time interval (A, B) in which the volume graph for a narrative text X exhibits splashes (= spikes or peaks). Suppose that the vector T(X) = (t 1(X), ..., t p (X)) is related to the “authentic event” vector T(A, B) where (A, B) is the period described in the text.</div>
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