2005, ISBN: 9789042914834

Rome: Multigrafica Editrice, 1982. First edition. Softcover. vg. Folio. 42pp. of text followed by 54pp. of plates. Tan wrappers with black and brown lettering on spine and cover. An exc… Meer...

Rome: Multigrafica Editrice, 1982. First edition. Softcover. vg. Folio. 42pp. of text followed by 54pp. of plates. Tan wrappers with black and brown lettering on spine and cover. An excellent catalogue of cuneiform inscriptions and archives. Illustrated with 12 full page plates of black and white photographs. Vol. XI of a larger collection, "Materiali Per Il Vocabolario Neosumerico." In very good condition., Multigrafica Editrice, 1982, 3, Rome: Multigrafica Editrice, 1981. First edition. Softcover. vg. Folio. 76pp. of text followed by 12pp. of plates. Tan wrappers with black and brown lettering on spine and cover. Some creasing to spine and upper left corner of front and back wrapper. An excellent catalogue of cuneiform inscriptions and archives. Illustrated with 12 full page plates of black and white photographs. Vol. X of a larger collection, "Materiali Per Il Vocabolario Neosumerico." In very good condition., Multigrafica Editrice, 1981, 3, Rome: Multigrafica, 1979. First edition. g. Folio. 29pp. of text followed by 90pp. of plates. Tan wrapper with black and brown lettering on spine and cover. Lite foxing to top page edge. Notes in pencil next to many of illustrations on plates possibly useful to others. A very clean catalogue of cuneiform economic texts from the Louvre and the College of France. Vol. VIII of a larger collection, "Materiali Per Il Vocabolario Neosumerico." Text in French and Italian. Overall good+ condition., Multigrafica, 1979, 2.5, Louvan: Peeters, 2005. First edition. Stiff wraps. near fine. Quarto (12" x 8-1/2"). xx, 387 (1)pp. Laminated pictorial red wrappers lettered in white. Profusely illustrated with drawings and photos. An ex-library book with minimal rubber stamps on title page & at bottom of text block, otherwise near fine. Urartians recorded the volumes of jugs, jars and storerooms, using a variety of symbols and words. In this book mathematical and statistical models, both geometric and digital, are examined for evaluating the ratio of the different measures of volume to each other and for finding absolute values for these measures. The presence of full mathematical calculations allows for controls to be made and removes the faith element from this branch of Urartian studies. In doing so, it also provides quantitative techniques that can be used in related archaeological ventures. (Publisher) Contents: Introduction: the Problems: The Scripts Used ; Difficulties Involved in Measuring Volumes -- Chapter 1 The Interrelationship of volume signs: Determining Large and Small in a Series of Units ; The Relationship between Aqarqi and Terusi ; The Relationship between Terusi and Arusi ; The Relationship between Arusi and Terubi ; The Relationship of Aqarqi, Terusi, Arusi and Terubi to Urartian Hieroglyphics: 1) Dots Separated by an Angled Line as Found at Karmir-Blur; 2) Vessel Pictographics; 3) Encircled and Non-encircled, Dots and Arcs as found at Kayahdere ; Multiple Inscriptions ; The Variety of Representation of Volume ; The Relationship between Volume and Length Measurements -- Chapter 2 Measuring containers and estimating accuracy: Problems Relating to Standards of Accuracy in Antiquity ; Calculating Volumes and the Calculation Error ; Finding the Volume of a Rotationally Symmetrical Vessel Geometrically ; Finding the Mean Square Error Involved in Geometrical Calculations of Volume for Rotationally Symmetrical Vessels ; Finding the Mean Square Error of Multiple Results ; Estimating Volume and Error for Rotationally Symmetrical Vessels using their Digitised Cross-Sections ; A Mathematical Model for Estimating Volumes and their Mean Square Errors Digitally ; Benchmark Tests of the Model using Mathematically Defined Containers ; Benchmark Tests of the Model using Real Vessels with a Known Volume -- Chapter 3 The beaker sign and unit: The Litre Equivalent of the Beaker Unit ; Vayman's Jar -- Chapter 4 The Aqarqi, Terusi and Arusi units: Finding the Litre Equivalence of Aqarqi, Terusi and Arusi ; The Adilcevaz Jar (J.B.11) ; The Ankara Jar (J.B.19) ; Kayalidere Jar No. E6-Type 1 (J.J.2) ; Kayalidere Jar No. G9 (J.E.7) ; Kayalidere Jar No. G11-Type 3 (J.J. 13) ; Kayalidere Jar No. G13-Type 6 (J.J.14) ; Kayalidere Jar No. G7-Type 4 (J.J.8) ; The Ayanis Libation Jar (J.E34) ; The Litre Equivalence of Aqarqi, Terusi and Arusi ; The Bronze Urn from Erzincan-Altmtepe (M.B.35) -- Chapter 5 The Kapi unit: The Relationship of Kapi To BANES, Kappi- and Arusi ; Abbreviations and Bibliography -- Catalogue: Signs on ceramic made before firing: C.A. Stamp Impressions: a. Four Leaved Rossettes; b. Rosettes with more than Four Leaves; c. Circles and Ovals; d. Impressions with Oval Surrounds; e. Horseshoe Shapes; f. Crescent Shapes; g. Opposing Double Crescent Shapes; h. Double crescents, one inside the other; j. Tower, Tower + Bird and Tower + Spear Designs; k. Man on Horse Designs; l. Dots; m. Other Impressed Signs ; C.B. Signs Incised Before Firing: a. X Shapes; b. Signs Incorporating an X; c. Star Shapes; d. Ear of Corn Shapes; e. Pitchfork Shapes; f. Circular Signs with Projections; g. Circular Signs; h. Zigzags; j. Other Incised Signs ; Graffiti on ceramic: G.A. Signs Showing Volumes: a. Beaker and Vase Shapes; b. Beaker or Vases with One Dot or Line; c. Beaker or Vases with Two Dots or Lines; d. Beakers with Three Dots or Lines; e. Beakers with Four Dots or Lines; f. Beakers with Five Dots; g. Beakers with Six Dots; h. Beaker or Vases with Seven Dots; j. Beakers with Eight Dots; k. Nine Dots; l. Cuneiform Signs ; G.B. Non-Volume Graffiti: a. Ear of Corn Shapes; b. Star Shapes; c. Pitchfork Shapes; d. X Shapes; e. Wheel Shapes; f. Animal Head Shapes; g. Other Graffiti Signs; h. Parts of Graffiti ; Storage jars with volume inscriptions: J.A. Cuneiform Aqarqi, Terusi and Arusi ; J.B. Cuneiform A, Te MAS and LIS ; J.C. Hittite Hieroglyphics ; J.D. Signs Distinguished by their Relationship to an Angled Line or X ; J.E. Encircled Dots, Dots and Arcs ; J.F. Pictographics ; J.G. Volumes in both Cuneiform Aqarqi and Terusi, and Hieroglyphics ; J.H. Volumes in both Cuneiform A and Ti, and Hieroglyphics ; J.J. Volumes in both Encircled Dots and Pictographics ; J.K. Signs that may not indicate Volumes ; Clay sealing knobs and tablets with volumes or hieroglyphics: K.A. Sealing Knobs with Cuneiform Volumes ; K.B. Sealing Knobs with Hieroglyphic Volumes ; K.C. Sealing Knobs with Non-Volume Hieroglyphics ; K.D. Clay Tablets with Hieroglyphic Signs ; Metal objects with hieroglyphic signs: M.A. Individual Signs: a. Signs in the Form of Animal Heads; b. Crescent Moon, Stars and dUTU Motifs; c. Other Individual Signs ; M.B. Groups of Signs ; Seals with hieroglyphic signs: S.A. Individual Signs: a. Crescent Moon, Stars and dUTU Motifs; b. Other Individual Signs ; S.B. Groups of Signs ; Cuneiform texts on stone that refer to measurements: T.A. Length Measurements ; T.B. Volume Measurements. (OCLC) Supplement 16 of the Peeters series, "Ancient Near Eastern Studies.", Peeters, 2005, 4<

2005, ISBN: 9042914831

pocketboek

[EAN: 9789042914834], Near Fine, [SC: 43.36], [PU: Peeters, Louvan], ANCIENT WEIGHTS & MEASURES, STORAGE JARS, URATU, ARMENIA, Quarto (12" x 8-1/2"). xx, 387 (1)pp. Laminated pictorial re… Meer...

[EAN: 9789042914834], Near Fine, [SC: 43.36], [PU: Peeters, Louvan], ANCIENT WEIGHTS & MEASURES, STORAGE JARS, URATU, ARMENIA, Quarto (12" x 8-1/2"). xx, 387 (1)pp. Laminated pictorial red wrappers lettered in white. Profusely illustrated with drawings and photos. An ex-library book with minimal rubber stamps on title page & at bottom of text block, otherwise near fine. Urartians recorded the volumes of jugs, jars and storerooms, using a variety of symbols and words. In this book mathematical and statistical models, both geometric and digital, are examined for evaluating the ratio of the different measures of volume to each other and for finding absolute values for these measures. The presence of full mathematical calculations allows for controls to be made and removes the faith element from this branch of Urartian studies. In doing so, it also provides quantitative techniques that can be used in related archaeological ventures. (Publisher) Contents: Introduction: the Problems: The Scripts Used ; Difficulties Involved in Measuring Volumes -- Chapter 1 The Interrelationship of volume signs: Determining Large and Small in a Series of Units ; The Relationship between Aqarqi and Terusi ; The Relationship between Terusi and Arusi ; The Relationship between Arusi and Terubi ; The Relationship of Aqarqi, Terusi, Arusi and Terubi to Urartian Hieroglyphics: 1) Dots Separated by an Angled Line as Found at Karmir-Blur; 2) Vessel Pictographics; 3) Encircled and Non-encircled, Dots and Arcs as found at Kayahdere ; Multiple Inscriptions ; The Variety of Representation of Volume ; The Relationship between Volume and Length Measurements -- Chapter 2 Measuring containers and estimating accuracy: Problems Relating to Standards of Accuracy in Antiquity ; Calculating Volumes and the Calculation Error ; Finding the Volume of a Rotationally Symmetrical Vessel Geometrically ; Finding the Mean Square Error Involved in Geometrical Calculations of Volume for Rotationally Symmetrical Vessels ; Finding the Mean Square Error of Multiple Results ; Estimating Volume and Error for Rotationally Symmetrical Vessels using their Digitised Cross-Sections ; A Mathematical Model for Estimating Volumes and their Mean Square Errors Digitally ; Benchmark Tests of the Model using Mathematically Defined Containers ; Benchmark Tests of the Model using Real Vessels with a Known Volume -- Chapter 3 The beaker sign and unit: The Litre Equivalent of the Beaker Unit ; Vayman's Jar -- Chapter 4 The Aqarqi, Terusi and Arusi units: Finding the Litre Equivalence of Aqarqi, Terusi and Arusi ; The Adilcevaz Jar (J.B.11) ; The Ankara Jar (J.B.19) ; Kayalidere Jar No. E6-Type 1 (J.J.2) ; Kayalidere Jar No. G9 (J.E.7) ; Kayalidere Jar No. G11-Type 3 (J.J. 13) ; Kayalidere Jar No. G13-Type 6 (J.J.14) ; Kayalidere Jar No. G7-Type 4 (J.J.8) ; The Ayanis Libation Jar (J.E34) ; The Litre Equivalence of Aqarqi, Terusi and Arusi ; The Bronze Urn from Erzincan-Altmtepe (M.B.35) -- Chapter 5 The Kapi unit: The Relationship of Kapi To BANES, Kappi- and Arusi ; Abbreviations and Bibliography -- Catalogue: Signs on ceramic made before firing: C.A. Stamp Impressions: a. Four Leaved Rossettes; b. Rosettes with more than Four Leaves; c. Circles and Ovals; d. Impressions with Oval Surrounds; e. Horseshoe Shapes; f. Crescent Shapes; g. Opposing Double Crescent Shapes; h. Double crescents, one inside the other; j. Tower, Tower + Bird and Tower + Spear Designs; k. Man on Horse Designs; l. Dots; m. Other Impressed Signs ; C.B. Signs Incised Before Firing: a. X Shapes; b. Signs Incorporating an X; c. Star Shapes; d. Ear of Corn Shapes; e. Pitchfork Shapes; f. Circular Signs with Projections; g. Circular Signs; h. Zigzags; j. Other Incised Signs ; Graffiti on ceramic: G.A. Signs Showing Volumes: a. Beaker and Vase Shapes; b. Beaker or Vases with One Dot or Line; c. Beaker or Vases with Two Dots or Lines; d. Beakers with Three Dots or Lines; e. Beakers with Four Dots or Lines; f. Beakers with Five Dots; g. Beakers with Six Dots; h. Beaker or Vases with Seven Dots; j. Beakers with Eight Dots; k. Nine Dots; l. Cuneiform Signs ; G.B. Non-Volume Graffiti: a. Ear of Corn Shapes; b. Star Shapes; c. Pitchfork Shapes; d. X Shapes; e. Wheel Shapes; f. Animal Head Shapes; g. Other Graffiti Signs; h. Parts of Graffiti ; Storage jars with volume inscriptions: J.A. Cuneiform Aqarqi, Terusi and Arusi ; J.B. Cuneiform A, Te MAS and LIS ; J.C. Hittite Hieroglyphics ; J.D. Signs Distinguished by their Relationship to an Angled Line or X ; J.E. Encircled Dots, Dots and Arcs ; J.F. Pictographics ; J.G. Volumes in both Cuneiform Aqarqi and Terusi, and Hieroglyphics ; J.H. Volumes in both Cuneiform A and Ti, and Hieroglyphics ; J.J. Volumes in both Encircled Dots and Pictographics ; J.K. Signs that may not indicate Volumes ; Clay sealing knobs and tablets with volumes or hieroglyphics: K.A. Sealing Knobs with Cuneiform Volumes ; K.B. Sealing Knobs with Hieroglyphic Volumes ; K.C. Sealing Knobs with Non-Volume Hieroglyphics ; K.D. Clay Tablets with Hieroglyphic Signs ; Metal objects with hieroglyphic signs: M.A. Individual Signs: a. Signs in the Form of Animal Heads; b. Crescent Moon, Stars and dUTU Motifs; c. Other Individual Signs ; M.B. Groups of Signs ; Seals with hieroglyphic signs: S.A. Individual Signs: a. Crescent Moon, Stars and dUTU Motifs; b. Other Individual Signs ; S.B. Groups of Signs ; Cuneiform texts on stone that refer to measurements: T.A. Length Measurements ; T.B. Volume Measurements. (OCLC) Supplement 16 of the Peeters series, "Ancient Near Eastern Studies.", Books<

2005, ISBN: 9042914831

pocketboek

[EAN: 9789042914834], Near Fine, [SC: 32.26], [PU: Peeters, Louvan], ANCIENT WEIGHTS & MEASURES, STORAGE JARS, URATU, ARMENIA, Quarto (12" x 8-1/2"). xx, 387 (1)pp. Laminated pictorial re… Meer...

[EAN: 9789042914834], Near Fine, [SC: 32.26], [PU: Peeters, Louvan], ANCIENT WEIGHTS & MEASURES, STORAGE JARS, URATU, ARMENIA, Quarto (12" x 8-1/2"). xx, 387 (1)pp. Laminated pictorial red wrappers lettered in white. Profusely illustrated with drawings and photos. An ex-library book with minimal rubber stamps on title page & at bottom of text block, otherwise near fine. Urartians recorded the volumes of jugs, jars and storerooms, using a variety of symbols and words. In this book mathematical and statistical models, both geometric and digital, are examined for evaluating the ratio of the different measures of volume to each other and for finding absolute values for these measures. The presence of full mathematical calculations allows for controls to be made and removes the faith element from this branch of Urartian studies. In doing so, it also provides quantitative techniques that can be used in related archaeological ventures. (Publisher) Contents: Introduction: the Problems: The Scripts Used ; Difficulties Involved in Measuring Volumes -- Chapter 1 The Interrelationship of volume signs: Determining Large and Small in a Series of Units ; The Relationship between Aqarqi and Terusi ; The Relationship between Terusi and Arusi ; The Relationship between Arusi and Terubi ; The Relationship of Aqarqi, Terusi, Arusi and Terubi to Urartian Hieroglyphics: 1) Dots Separated by an Angled Line as Found at Karmir-Blur; 2) Vessel Pictographics; 3) Encircled and Non-encircled, Dots and Arcs as found at Kayahdere ; Multiple Inscriptions ; The Variety of Representation of Volume ; The Relationship between Volume and Length Measurements -- Chapter 2 Measuring containers and estimating accuracy: Problems Relating to Standards of Accuracy in Antiquity ; Calculating Volumes and the Calculation Error ; Finding the Volume of a Rotationally Symmetrical Vessel Geometrically ; Finding the Mean Square Error Involved in Geometrical Calculations of Volume for Rotationally Symmetrical Vessels ; Finding the Mean Square Error of Multiple Results ; Estimating Volume and Error for Rotationally Symmetrical Vessels using their Digitised Cross-Sections ; A Mathematical Model for Estimating Volumes and their Mean Square Errors Digitally ; Benchmark Tests of the Model using Mathematically Defined Containers ; Benchmark Tests of the Model using Real Vessels with a Known Volume -- Chapter 3 The beaker sign and unit: The Litre Equivalent of the Beaker Unit ; Vayman's Jar -- Chapter 4 The Aqarqi, Terusi and Arusi units: Finding the Litre Equivalence of Aqarqi, Terusi and Arusi ; The Adilcevaz Jar (J.B.11) ; The Ankara Jar (J.B.19) ; Kayalidere Jar No. E6-Type 1 (J.J.2) ; Kayalidere Jar No. G9 (J.E.7) ; Kayalidere Jar No. G11-Type 3 (J.J. 13) ; Kayalidere Jar No. G13-Type 6 (J.J.14) ; Kayalidere Jar No. G7-Type 4 (J.J.8) ; The Ayanis Libation Jar (J.E34) ; The Litre Equivalence of Aqarqi, Terusi and Arusi ; The Bronze Urn from Erzincan-Altmtepe (M.B.35) -- Chapter 5 The Kapi unit: The Relationship of Kapi To BANES, Kappi- and Arusi ; Abbreviations and Bibliography -- Catalogue: Signs on ceramic made before firing: C.A. Stamp Impressions: a. Four Leaved Rossettes; b. Rosettes with more than Four Leaves; c. Circles and Ovals; d. Impressions with Oval Surrounds; e. Horseshoe Shapes; f. Crescent Shapes; g. Opposing Double Crescent Shapes; h. Double crescents, one inside the other; j. Tower, Tower + Bird and Tower + Spear Designs; k. Man on Horse Designs; l. Dots; m. Other Impressed Signs ; C.B. Signs Incised Before Firing: a. X Shapes; b. Signs Incorporating an X; c. Star Shapes; d. Ear of Corn Shapes; e. Pitchfork Shapes; f. Circular Signs with Projections; g. Circular Signs; h. Zigzags; j. Other Incised Signs ; Graffiti on ceramic: G.A. Signs Showing Volumes: a. Beaker and Vase Shapes; b. Beaker or Vases with One Dot or Line; c. Beaker or Vases with Two Dots or Lines; d. Beakers with Three Dots or Lines; e. Beakers with Four Dots or Lines; f. Beakers with Five Dots; g. Beakers with Six Dots; h. Beaker or Vases with Seven Dots; j. Beakers with Eight Dots; k. Nine Dots; l. Cuneiform Signs ; G.B. Non-Volume Graffiti: a. Ear of Corn Shapes; b. Star Shapes; c. Pitchfork Shapes; d. X Shapes; e. Wheel Shapes; f. Animal Head Shapes; g. Other Graffiti Signs; h. Parts of Graffiti ; Storage jars with volume inscriptions: J.A. Cuneiform Aqarqi, Terusi and Arusi ; J.B. Cuneiform A, Te MAS and LIS ; J.C. Hittite Hieroglyphics ; J.D. Signs Distinguished by their Relationship to an Angled Line or X ; J.E. Encircled Dots, Dots and Arcs ; J.F. Pictographics ; J.G. Volumes in both Cuneiform Aqarqi and Terusi, and Hieroglyphics ; J.H. Volumes in both Cuneiform A and Ti, and Hieroglyphics ; J.J. Volumes in both Encircled Dots and Pictographics ; J.K. Signs that may not indicate Volumes ; Clay sealing knobs and tablets with volumes or hieroglyphics: K.A. Sealing Knobs with Cuneiform Volumes ; K.B. Sealing Knobs with Hieroglyphic Volumes ; K.C. Sealing Knobs with Non-Volume Hieroglyphics ; K.D. Clay Tablets with Hieroglyphic Signs ; Metal objects with hieroglyphic signs: M.A. Individual Signs: a. Signs in the Form of Animal Heads; b. Crescent Moon, Stars and dUTU Motifs; c. Other Individual Signs ; M.B. Groups of Signs ; Seals with hieroglyphic signs: S.A. Individual Signs: a. Crescent Moon, Stars and dUTU Motifs; b. Other Individual Signs ; S.B. Groups of Signs ; Cuneiform texts on stone that refer to measurements: T.A. Length Measurements ; T.B. Volume Measurements. (OCLC) Supplement 16 of the Peeters series, "Ancient Near Eastern Studies.", Books<

2005, ISBN: 9789042914834

Louvan: Peeters, 2005. First edition. Stiff wraps. near fine. Quarto (12" x 8-1/2"). xx, 387 (1)pp. Laminated pictorial red wrappers lettered in white. Profusely illustrated with drawin… Meer...

Louvan: Peeters, 2005. First edition. Stiff wraps. near fine. Quarto (12" x 8-1/2"). xx, 387 (1)pp. Laminated pictorial red wrappers lettered in white. Profusely illustrated with drawings and photos. An ex-library book with minimal rubber stamps on title page & at bottom of text block, otherwise near fine. Urartians recorded the volumes of jugs, jars and storerooms, using a variety of symbols and words. In this book mathematical and statistical models, both geometric and digital, are examined for evaluating the ratio of the different measures of volume to each other and for finding absolute values for these measures. The presence of full mathematical calculations allows for controls to be made and removes the faith element from this branch of Urartian studies. In doing so, it also provides quantitative techniques that can be used in related archaeological ventures. (Publisher) Contents: Introduction: the Problems: The Scripts Used ; Difficulties Involved in Measuring Volumes -- Chapter 1 The Interrelationship of volume signs: Determining Large and Small in a Series of Units ; The Relationship between Aqarqi and Terusi ; The Relationship between Terusi and Arusi ; The Relationship between Arusi and Terubi ; The Relationship of Aqarqi, Terusi, Arusi and Terubi to Urartian Hieroglyphics: 1) Dots Separated by an Angled Line as Found at Karmir-Blur; 2) Vessel Pictographics; 3) Encircled and Non-encircled, Dots and Arcs as found at Kayahdere ; Multiple Inscriptions ; The Variety of Representation of Volume ; The Relationship between Volume and Length Measurements -- Chapter 2 Measuring containers and estimating accuracy: Problems Relating to Standards of Accuracy in Antiquity ; Calculating Volumes and the Calculation Error ; Finding the Volume of a Rotationally Symmetrical Vessel Geometrically ; Finding the Mean Square Error Involved in Geometrical Calculations of Volume for Rotationally Symmetrical Vessels ; Finding the Mean Square Error of Multiple Results ; Estimating Volume and Error for Rotationally Symmetrical Vessels using their Digitised Cross-Sections ; A Mathematical Model for Estimating Volumes and their Mean Square Errors Digitally ; Benchmark Tests of the Model using Mathematically Defined Containers ; Benchmark Tests of the Model using Real Vessels with a Known Volume -- Chapter 3 The beaker sign and unit: The Litre Equivalent of the Beaker Unit ; Vayman's Jar -- Chapter 4 The Aqarqi, Terusi and Arusi units: Finding the Litre Equivalence of Aqarqi, Terusi and Arusi ; The Adilcevaz Jar (J.B.11) ; The Ankara Jar (J.B.19) ; Kayalidere Jar No. E6-Type 1 (J.J.2) ; Kayalidere Jar No. G9 (J.E.7) ; Kayalidere Jar No. G11-Type 3 (J.J. 13) ; Kayalidere Jar No. G13-Type 6 (J.J.14) ; Kayalidere Jar No. G7-Type 4 (J.J.8) ; The Ayanis Libation Jar (J.E34) ; The Litre Equivalence of Aqarqi, Terusi and Arusi ; The Bronze Urn from Erzincan-Altmtepe (M.B.35) -- Chapter 5 The Kapi unit: The Relationship of Kapi To BANES, Kappi- and Arusi ; Abbreviations and Bibliography -- Catalogue: Signs on ceramic made before firing: C.A. Stamp Impressions: a. Four Leaved Rossettes; b. Rosettes with more than Four Leaves; c. Circles and Ovals; d. Impressions with Oval Surrounds; e. Horseshoe Shapes; f. Crescent Shapes; g. Opposing Double Crescent Shapes; h. Double crescents, one inside the other; j. Tower, Tower + Bird and Tower + Spear Designs; k. Man on Horse Designs; l. Dots; m. Other Impressed Signs ; C.B. Signs Incised Before Firing: a. X Shapes; b. Signs Incorporating an X; c. Star Shapes; d. Ear of Corn Shapes; e. Pitchfork Shapes; f. Circular Signs with Projections; g. Circular Signs; h. Zigzags; j. Other Incised Signs ; Graffiti on ceramic: G.A. Signs Showing Volumes: a. Beaker and Vase Shapes; b. Beaker or Vases with One Dot or Line; c. Beaker or Vases with Two Dots or Lines; d. Beakers with Three Dots or Lines; e. Beakers with Four Dots or Lines; f. Beakers with Five Dots; g. Beakers with Six Dots; h. Beaker or Vases with Seven Dots; j. Beakers with Eight Dots; k. Nine Dots; l. Cuneiform Signs ; G.B. Non-Volume Graffiti: a. Ear of Corn Shapes; b. Star Shapes; c. Pitchfork Shapes; d. X Shapes; e. Wheel Shapes; f. Animal Head Shapes; g. Other Graffiti Signs; h. Parts of Graffiti ; Storage jars with volume inscriptions: J.A. Cuneiform Aqarqi, Terusi and Arusi ; J.B. Cuneiform A, Te MAS and LIS ; J.C. Hittite Hieroglyphics ; J.D. Signs Distinguished by their Relationship to an Angled Line or X ; J.E. Encircled Dots, Dots and Arcs ; J.F. Pictographics ; J.G. Volumes in both Cuneiform Aqarqi and Terusi, and Hieroglyphics ; J.H. Volumes in both Cuneiform A and Ti, and Hieroglyphics ; J.J. Volumes in both Encircled Dots and Pictographics ; J.K. Signs that may not indicate Volumes ; Clay sealing knobs and tablets with volumes or hieroglyphics: K.A. Sealing Knobs with Cuneiform Volumes ; K.B. Sealing Knobs with Hieroglyphic Volumes ; K.C. Sealing Knobs with Non-Volume Hieroglyphics ; K.D. Clay Tablets with Hieroglyphic Signs ; Metal objects with hieroglyphic signs: M.A. Individual Signs: a. Signs in the Form of Animal Heads; b. Crescent Moon, Stars and dUTU Motifs; c. Other Individual Signs ; M.B. Groups of Signs ; Seals with hieroglyphic signs: S.A. Individual Signs: a. Crescent Moon, Stars and dUTU Motifs; b. Other Individual Signs ; S.B. Groups of Signs ; Cuneiform texts on stone that refer to measurements: T.A. Length Measurements ; T.B. Volume Measurements. (OCLC) Supplement 16 of the Peeters series, "Ancient Near Eastern Studies.", Peeters, 2005, 4<

2005, ISBN: 9789042914834

Louvan: Peeters, 2005. First edition. Stiff wraps. near fine. Quarto (12" x 8-1/2"). xx, 387 (1)pp. Laminated pictorial red wrappers lettered in white. Profusely illustrated with drawin… Meer...

Louvan: Peeters, 2005. First edition. Stiff wraps. near fine. Quarto (12" x 8-1/2"). xx, 387 (1)pp. Laminated pictorial red wrappers lettered in white. Profusely illustrated with drawings and photos. An ex-library book with minimal rubber stamps on title page & at bottom of text block, otherwise near fine. Urartians recorded the volumes of jugs, jars and storerooms, using a variety of symbols and words. In this book mathematical and statistical models, both geometric and digital, are examined for evaluating the ratio of the different measures of volume to each other and for finding absolute values for these measures. The presence of full mathematical calculations allows for controls to be made and removes the faith element from this branch of Urartian studies. In doing so, it also provides quantitative techniques that can be used in related archaeological ventures. (Publisher) Contents: Introduction: the Problems: The Scripts Used ; Difficulties Involved in Measuring Volumes -- Chapter 1 The Interrelationship of volume signs: Determining Large and Small in a Series of Units ; The Relationship between Aqarqi and Terusi ; The Relationship between Terusi and Arusi ; The Relationship between Arusi and Terubi ; The Relationship of Aqarqi, Terusi, Arusi and Terubi to Urartian Hieroglyphics: 1) Dots Separated by an Angled Line as Found at Karmir-Blur; 2) Vessel Pictographics; 3) Encircled and Non-encircled, Dots and Arcs as found at Kayahdere ; Multiple Inscriptions ; The Variety of Representation of Volume ; The Relationship between Volume and Length Measurements -- Chapter 2 Measuring containers and estimating accuracy: Problems Relating to Standards of Accuracy in Antiquity ; Calculating Volumes and the Calculation Error ; Finding the Volume of a Rotationally Symmetrical Vessel Geometrically ; Finding the Mean Square Error Involved in Geometrical Calculations of Volume for Rotationally Symmetrical Vessels ; Finding the Mean Square Error of Multiple Results ; Estimating Volume and Error for Rotationally Symmetrical Vessels using their Digitised Cross-Sections ; A Mathematical Model for Estimating Volumes and their Mean Square Errors Digitally ; Benchmark Tests of the Model using Mathematically Defined Containers ; Benchmark Tests of the Model using Real Vessels with a Known Volume -- Chapter 3 The beaker sign and unit: The Litre Equivalent of the Beaker Unit ; Vayman's Jar -- Chapter 4 The Aqarqi, Terusi and Arusi units: Finding the Litre Equivalence of Aqarqi, Terusi and Arusi ; The Adilcevaz Jar (J.B.11) ; The Ankara Jar (J.B.19) ; Kayalidere Jar No. E6-Type 1 (J.J.2) ; Kayalidere Jar No. G9 (J.E.7) ; Kayalidere Jar No. G11-Type 3 (J.J. 13) ; Kayalidere Jar No. G13-Type 6 (J.J.14) ; Kayalidere Jar No. G7-Type 4 (J.J.8) ; The Ayanis Libation Jar (J.E34) ; The Litre Equivalence of Aqarqi, Terusi and Arusi ; The Bronze Urn from Erzincan-Altmtepe (M.B.35) -- Chapter 5 The Kapi unit: The Relationship of Kapi To BANES, Kappi- and Arusi ; Abbreviations and Bibliography -- Catalogue: Signs on ceramic made before firing: C.A. Stamp Impressions: a. Four Leaved Rossettes; b. Rosettes with more than Four Leaves; c. Circles and Ovals; d. Impressions with Oval Surrounds; e. Horseshoe Shapes; f. Crescent Shapes; g. Opposing Double Crescent Shapes; h. Double crescents, one inside the other; j. Tower, Tower + Bird and Tower + Spear Designs; k. Man on Horse Designs; l. Dots; m. Other Impressed Signs ; C.B. Signs Incised Before Firing: a. X Shapes; b. Signs Incorporating an X; c. Star Shapes; d. Ear of Corn Shapes; e. Pitchfork Shapes; f. Circular Signs with Projections; g. Circular Signs; h. Zigzags; j. Other Incised Signs ; Graffiti on ceramic: G.A. Signs Showing Volumes: a. Beaker and Vase Shapes; b. Beaker or Vases with One Dot or Line; c. Beaker or Vases with Two Dots or Lines; d. Beakers with Three Dots or Lines; e. Beakers with Four Dots or Lines; f. Beakers with Five Dots; g. Beakers with Six Dots; h. Beaker or Vases with Seven Dots; j. Beakers with Eight Dots; k. Nine Dots; l. Cuneiform Signs ; G.B. Non-Volume Graffiti: a. Ear of Corn Shapes; b. Star Shapes; c. Pitchfork Shapes; d. X Shapes; e. Wheel Shapes; f. Animal Head Shapes; g. Other Graffiti Signs; h. Parts of Graffiti ; Storage jars with volume inscriptions: J.A. Cuneiform Aqarqi, Terusi and Arusi ; J.B. Cuneiform A, Te MAS and LIS ; J.C. Hittite Hieroglyphics ; J.D. Signs Distinguished by their Relationship to an Angled Line or X ; J.E. Encircled Dots, Dots and Arcs ; J.F. Pictographics ; J.G. Volumes in both Cuneiform Aqarqi and Terusi, and Hieroglyphics ; J.H. Volumes in both Cuneiform A and Ti, and Hieroglyphics ; J.J. Volumes in both Encircled Dots and Pictographics ; J.K. Signs that may not indicate Volumes ; Clay sealing knobs and tablets with volumes or hieroglyphics: K.A. Sealing Knobs with Cuneiform Volumes ; K.B. Sealing Knobs with Hieroglyphic Volumes ; K.C. Sealing Knobs with Non-Volume Hieroglyphics ; K.D. Clay Tablets with Hieroglyphic Signs ; Metal objects with hieroglyphic signs: M.A. Individual Signs: a. Signs in the Form of Animal Heads; b. Crescent Moon, Stars and dUTU Motifs; c. Other Individual Signs ; M.B. Groups of Signs ; Seals with hieroglyphic signs: S.A. Individual Signs: a. Crescent Moon, Stars and dUTU Motifs; b. Other Individual Signs ; S.B. Groups of Signs ; Cuneiform texts on stone that refer to measurements: T.A. Length Measurements ; T.B. Volume Measurements. (OCLC) Supplement 16 of the Peeters series, "Ancient Near Eastern Studies., Peeters, 2005, 4<