SOCIETY OF BIBLICAL LITERATURE SEPTUAGINT AND COGNATE STUDIES SERIES. Edited by Harry M. Orlinsky

Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download "SOCIETY OF BIBLICAL LITERATURE SEPTUAGINT AND COGNATE STUDIES SERIES. Edited by Harry M. Orlinsky"

Transcript

1 SOCIETY OF BIBLICAL LITERATURE SEPTUAGINT AND COGNATE STUDIES SERIES Edited by Harry M. Orlinsky Number 14 A LEXICAL STUDY OF THE SEPTUAGINT VERSION OF THE PENTATEUCH by J. A. L. Lee

2 A LEXICAL STUDY OF THE SEPTUAGINT VERSION OF THE PENTATEUCH by J. A. L. Lee Scholars Press Chico, California

3 A LEXICAL STUDY OF THE SEPTUAGINT VERSION OF THE PENTATEUCH by J. A. L. Lee 1983 The Society of Biblical Literature Library of Congress Cataloging in Publication Data I.ce. J. A. I. A lexical study of the Septuagint version of the Pentateuch. (Septuagint and cognate studies ; no. 14) (ISSN ) Includes index. 1 Bible. O.T. Pentateuch. Greek Versions Septuagint. 2. Bible. O.T. Pentateuch Criticism, Textual. I.Title. II.Series. BS744.L43 222' ISBN AACR2 Printed in the United States of America

4 PREFACE The present work was submitted as a doctoral dissertation at the University of Cambridge in 1970, and the text is reproduced here without revision, apart from the addition of indexes. I am conscious of the drawbacks this entails. No subject, not even that of LXX lexicography, stands still for ten years: references to more recent work could certainly be added. addition, like most dissertations, this would in any case benefit from revision or expansion in a number of places. Nevertheless I believe it has a useful contribution to make in its present form, and to delay publication until a thoroughrevision could be undertaken seemed certain to mean that it would remain unpublished. In two places the existing discussion has been superseded by a fuller treatment I have published elsewhere: αποσκευή (pp ) is dealt with in JTS XXIII (1972) 430-7, and μέρος (pp. 72-6) in Antichthon VI (1972) It remains to repeat the thanks expressed in my original preface, first to those scholars in Cambridge who so readily welcomed and advised an unknown Australian with out-of-the-way interests: Barnabas Lindars S.S.F., my supervisor, patiently guided me throughout; Dr. J. Chadwick gave valuable advice on many matters, especially lexicographical methods; Dr. S.P. Brock kindly shared with me his unrivalled knowledge of the LXX; and Mr. S.J. Papastavrou gave assistance with Modern Greek. Thanks are due also to Pembroke College, for general support and encouragement during my years in Cambridge. Finally I owe my greatest debt to the late Professor G.P. Shipp ( ), of the University of Sydney. He set me an example of scholarship which, though an unattainable goal, has been constantly before me. In More especially, it was he who, in 1964, introduced me to Koine Greek and provided the basis of all my later work. J.A.L. LEE University of Sydney December, 19 81

5

6 CONTENTS ABBREVIATIONS page ix I INTRODUCTORY 1 II THE NATURE OF LXX GREEK 11 III THE VOCABULARY OF THE PENTATEUCH: A GENERAL SURVEY 31 IV NEW SEMANTIC DEVELOPMENTS IN OLD WORDS 53 V NEW FORMATIONS 85 VI NEW WORDS 114 VII INNOVATION AND OBSOLESCENCE 118 VIII LEXICAL EVIDENCE FOR THE DATE OF THE PENTATEUCH TEXT 12 9 IX CONCLUSION 14 5 APPENDIX I 150 APPENDIX II 152 BIBLIOGRAPHY 155 INDEXES: GREEK 161 HEBREW AND ARAMAIC 167 SUBJECTS 169

7

8 ABBREVIATIONS ΆΕ Le χ Μέγα "Αγγλο-' Ελληνικόν Λεξικόν, Αθήναι, [1968], ed. Θ.Ν. Τσαβεας. An Ζ, Sabsidia Η. Anz, Subsidia ad cognoscendum Graecorum sermonem vulgarem e Pentateuchi versione Alexandrina repetita (Diss. Phil. Haienses XII. 2), Halle, Archiν Archiv für Papyrusforschung. Barr, Semantics J. Barr, The Semantics of Biblical Language, Oxford, 1961 Bauer W.F. Arndt & F.W. Gingrich, A Greek- English Lexicon of the New Testament and Other Early Christian Literature (A transi. & adaptation of W. Bauer's Griechisch-Deutsches Wörterbuch zu den Schriften des Neuen Testaments und der übrigen urchristlichen Literatur, 4 ed., 1952), Chicago & Cambridge, BDB Bl.DF F. Brown, S.R. Driver, & CA. Briggs, A Hebrew and English Lexicon of the Old Testament, Oxford, F. Blass, A. Debrunner, & R.W. Funk, A Greek Grammar of the New Testament and Other Early Christian Literature, Cambridge & Chicago, BP CD. Buck & W. Peterson, Reverse Index of Greek Nouns and Adjectives, Chicago, Brooke-McLean A.E. Brooke & Ν. McLean, The Old Testament in Greek, Cambridge, BZAW Beihefte zur ZAW. Chantraine, Formation P. Chantraine, La formation des noms en grec ancien, Paris, 1933.

9 Daniel, Recherches S. Daniel, Recherches sur le vocabulaire du culte dans le Septante (Etudes et Commentaires LXI), Paris, Deissmann, BS Deissmann, LAE G.A. Deissmann, Bible studies (transi, by A. Grieve of Bibelstudien, 1895, & «eue Bibelstudien, 1897), 2 ed., Edinburgh, G.A. Deissmann, Light from the Ancient East (transi, by L.R.M. Strachan of Licht vom Osten, 4 ed., 1923), New York, ET The Expository Times. Frisk J.I.H. Frisk, Griechisches Etymologisches Wörterbuch, Heidelberg, HOB Dictionary of the Bible by J. Hastings, 2nd ed., revised by F.C. Grant & H.H. Rowley, Edinburgh, Helbing, G ramm. R. Helbing, Grammatik der LXX: Lautund Wortlehre, Göttingen, Helbing, Ka s u s s y ntax R. Helbing, Die Kasussyntax der Verba bei den Septuaginta, Göttingen, H TR Harvard Theological Review. HUCA Hebrew Union College Annual. ICC International Critical Commentary. Jannaris A.N. Jannaris, A Concise Dictionary of the English and Modern Greek Languages as Actually Written and Spoken, London, JAOS Journal of the American Oriental Society. JBL Journal of Biblical Literature. Jellicoe, S. Jellicoe, The Septuagint and Modern Study, Oxford, χ

10 JNES Journal of Near Eastern Studies. Johannessohn, Präpositionen M. Johannessohn, Der Gebrauch der Präpositionen in der Septuaginta (MSU III.3), Berlin, J TS Journal of Theological Studies. KB L. Koehler & W. Baumgartner, Lexicon in Veteris Testament! Libros, Leiden, Kiessling E. Kiessling, Wörterbuch der griechischen Papyrusurkunden IV: 1, Berlin, 1944; 2, 3 Marburg, 1958, Kiessling Suppl. E. Kiessling, Wörterbuch der griechischen Papyrusurkunden Suppl. I ( ), Amsterdam, Lex. Pr. Λεξικόν της "Ελληνικής γλώσσης (Published by Athens newspaper 'Πρωια'), Athens, LSJ LS J Suppl. H.G. Liddell, R. Scott, & H.S. Jones, A Greek-English Lexicon, 9 ed., Oxford, H.G. Liddell, R. Scott, & H.S. Jones, A Greek-English Lexicon: A Supplement, ed. E.A. Barber, Oxford, Mayser, Gramm. E. Mayser, Grammatik der griechischen Papyri aus der Ptolemaerzeit, Berlin- Leipzig, MM J.H. Moulton & G. Milligan, The vocablary of the Greek Testament Illustrated from the Papyri and Other Non- Literary Sources, London, Moule, Idiom Book C.F.D. Moule, An Idiom Book of New Testament Greek, Cambridge, Moulton, Proleg. J.H. Moulton, Grammar of New Testament Greek: I Prolegomena, 3 ed., Edinburgh, 1908.

11 Moulton-Howard, Gramm. II Moulton-Turner, Gramm. III J.H. Moulton & W.F. Howard, Grammar of New Testament Greek: II Accidence & Word-Formation, Edinburgh, Ν. Turner, Grammar of New Testament Greek: III Syntax, Edinburgh, MSU Mitteilungen des Septuaginta-Unternehmens der Akademie der Wissenschaften in Gottingen. MT Massoretic Text. Ν TS New Testament Studies. OLD Oxford Latin Dictionary, Oxford, PAAJR Proceedings of the American Academy for Jewish Research. Palmer, Gramm. L.R. Palmer, Grammar of the Post-Ptolemaic Papyri: Part I The Suffixes, London, Preisigke F. Preisigke (& E. Kiessling), Wörterbuch der griechischen Papyrusurkunden I-III, Berlin, Psichari, Essai J. Psichari, 'Essai sur le grec de la Septante', Revue des Études juives LV (1908) Rahlfs A. Rahlfs, Septuaginta, Stuttgart, REG Revue des Etudes grecques. Schleusner J.Fr. Schleusner, Novus Thesaurus phi lo 1ogicocriticus, sive Lexicon in LXX, Londini, Schnebel, Landwirtschaft M. Schnebel, Die Landwirtschaft im heileni sti sehen Ägypten: Bd. I Der Betrieb der Landwirtschaft, München, Schwyzer, Gramm. E. Schwyzer, Griechische Grammatik, München,

12 SOED W. Little, H.W. Fowler, J. Coulson, & C.T. Onions, The Shorter Oxford English Dictionary, 3 ed., Oxford, Swanson D.C. Swanson, Vocabulary of Modern Spoken Greek, Minneapolis, Swete, Introd. H.B. Swete, An Introduction to the Old Testament in Greek, Cambridge, Thackeray, Gramm. K.St.J. Thackeray, A Grammar of the Old Testament in Greek according to the Septuagint: I Introduction, Orthography and Accidence, Cambridge, Thumb, Hellenismus A. Thumb, Die griechische Sprache im Zeitalter des Hellenismus, Strassburg, Th. Ζ Theologische Zeitschrift. TWNT Theologisches Wörterbuch zum Neuen Testament, ed. G. Kittel & G. Friedrich, Stuttgart, Cited by vol. & p. of Engl, transi, by G.W. Bromiley & F.F. Bruce, Michigan, VT Vetus Testamentum. ZAW Zeitschrift für die A111es ta ment1iche Wissenschaft. ZNW Zeitschrift für die Νeu te s tarnen11iche Wissenschaft. Names of ancient authors and their works, books of the LXX and NT, and titles of papyrological and epigraphical publications are abbreviated as in LSJ and Suppl., with a few minor variations. Attention may be drawn to one or two of LSJ's abbreviations that are perhaps liable to confusion, or not easily recognized: A. = Aeschylus, Ar. = Aristophanes, Arist. = Aristotle; Hdt. = Herodotus, Herod. = Herodas; Hp. = Hippocrates, Hyp. = Hyperides. ppetr. is mostly cited by volume and text

13 number, not, as in LSJ, by volume and page number. In references to PCair.zen. the digits 59(00) are omitted, as in LSJ: thus 2 = In references to papyri and inscriptions the following are to be noticed: (i) The line cited for a given word is usually that in which the word itself occurs or begins, though the passage actually quoted may extend over a number of surrounding lines (as MM, p. xxx). (ii) Dates given to texts are strictly those assigned by the editors. (iii) Symbols used in the published text (brackets, dots, etc.) are not always reproduced in full: I have omitted them where the reading seems beyond doubt or where they have no bearing on the point under discussion. For these symbols see E.G. Turner, Greek Papyri In giving dates, lower-case Roman numerals indicate the century, Arabic numerals the year: e.g. iii B.C. = the third century B.C. The LXX text cited and quoted is that of Rahlfs (Stuttgart, 1935). Rahlfs' numeration alone is given. Rahlfs is followed in the matter of accents and breathings on proper names. In giving the original Hebrew the sign '=' has been avoided. Occasionally the swung dash (~) is used, as an abbreviation for 'corresponds to 1. The portion of MT quoted is usually only that to which the Greek word under discussion corresponds, not the whole MT passage corresponding to the whole LXX passage quoted.

14 CHAPTER I INTRODUCTORY The chief purpose of this study is to demonstrate as far as possible the affinities, in the sphere of vocabulary, between the language of the Septuagint version of the Pentateuch and the vernacular Koine Greek of its time. It is intended that in so doing it should form a contribution specifically towards (i) the solution of the general problem of LXX language, i.e. the question of its relation to the Greek language proper; and (ii) the lexicography of the LXX. The language of the LXX is plainly not normal Greek in many places. The question whether it is nevertheless to be regarded as belonging to the main stream of the Greek language has still not been satisfactorily settled. Deissmann, followed by Thumb, Thackeray, Moulton, and other older scholars, considered, and gathered evidence to show, that the language of the LXX translators was essentially the Greek of their time. According to this view the peculiarities of LXX Greek are to be explained chiefly as a result of the translation-techniques employed. This view was and still is accepted by many, probably by most, scholars. It has however been maintained by others that we have in the LXX a specimen of a form of Greek actually spoken by the Jews in Egypt, a Greek so extensively contaminated by Semitic usage as to be an entity separate from the normal Greek of the time. The case for this has recently been argued afresh especially by H.S. Gehman, with support from Ν. Turner. It is to this debate that the present study is designed to contribute, in support of the earlier view. The general question of the nature of LXX Greek will first be discussed in more detail, in Chapter II. There the main arguments already advanced, and certain new points, will be considered. The bulk of the study will consist of a detailed examination of certain portions of the Pentateuch vocabulary. The words and uses selected for study are chiefly those that are new in the Koine and are attested in documents contemporary with the translators.

15 My purpose in examining them will be to support the thesis that the language of the LXX translators was essentially the Greek of their time. The study will thus be in the main a continuation of Deissmann's work and methods. Since his time a large quantity of papyrological evidence has accumulated and has been little explored for the light it throws on LXX vocabulary. present study aims at making the fullest possible use of this material. My main concern will be with the everyday, non-theological vocabulary of the Pentateuch, but in attempting to show affinities between it and the vocabulary of 'secular' Greek I have no wish to deny the distinctive character of some parts of the LXX vocabulary, notably its religious terminology. It is hardly possible to doubt that the translators, and the Alexandrian Jews generally, introduced some novel features into their vocabulary, in all three ways available to them: by borrowing words from Hebrew or Aramaic, by forming new words in Greek, and by giving special significations to some current Greek terms. The Similarly no-one would wish to deny that the translators' Greek has been strongly influenced in every respect by the Hebrew of the original text. As is well known, the lexicography of the LXX is a subject that has been seriously neglected for some time. The only lexicon of the LXX is that of Schleusner, dating from the 1820s. This work, though in some respects still valuable, is now definitely obsolete. The gap is only partially filled by the more modern lexicographical tools, LSJ, Bauer, and MM, which give little more than incidental treatment to the LXX. There have of course been numerous studies in the field of LXX vocabulary apart from what is found in the lexicons, but only a small part of the whole vocabulary has yet been adequately treated. All these studies (of which more will be said 1. I see no reason to disagree with C.F.D. Moule's 'word of caution', idiom Book 3f.: 'The pendulum has swung rather too far in the direction of equating Biblical with "secular" Greek; and we must not allow these fascinating discoveries to blind us to the fact that Biblical Greek still does retain certain peculiarities, due in part to Semitic influence...'.

16 below) have been limited in extent, and the important older ones by Deissmann and Anz are now in need of re-appraisal and supplementing with new evidence. Much recent study has been limited, especially in that it has tended to concentrate on words of theological interest, and then often with the chief object of elucidating the language and ideas of the NT. The evidence of the papyri, although generally recognized as important for LXX lexicography, has yet to be thoroughly investigated. As many of the examples in this study will show, there is still a great deal to be discovered about LXX usage from this source. Much that is important for the LXX vocabulary has not been noted by any of the standard dictionaries. An up-to-date lexicon of the LXX, embodying the results of a thorough re-examination of its vocabulary and taking full account of the papyrological evidence, is clearly a pressing 2 requirement. There is at the present time an increased interest in providing such a work, but the task will be a difficult and lengthy one, and it is clearly desirable that as much preliminary study as possible should be undertaken for it. It is intended that the present study should make a contribution in this direction, not only by its examination of individual words and uses but also by offering a number of observations relevant to LXX lexicography generally. In particular we shall observe how important a full investigation of the non-biblical evidence can be in deciding the meaning of a word in the LXX. In any study of the LXX one encounters at the outset the problem of the uncertainty of our text. We may distinguish three separate questions on which there is still some measure of uncertainty. They are: (i) Is it possible to speak of a single original LXX translation? translation preserved in our MSS? does survive, at what date was it made? (ii) To what extent is an ancient (iii) If such a translation not directly concerned with solving these problems. The present study is It will 2. G.B. Caird JTS XIX (1968) 453, Jellicoe, SMS, 359. Already in 1909 Deissmann spoke of the 'clamant need' of a lexicon, BS 73 η.3.

17 proceed on the hypothesis that it is possible to speak of a single original version of the Pentateuch; that this version is preserved essentially unchanged in our major MSS; and that it dates from around the middle of the third century B.C. The opinion of most scholars today appears to be in agreement with this view. Certainly it is generally accepted that, as Aristeas relates, a translation of the Pentateuch was undertaken in the third century; and on the other points the present position of LXX textual study suggests that there is every likelihood of recovering an original Alexandrian version. This is especially so in the case of the Pentateuch, which presents fewer problems than other parts of the LXX. This study is not, however, seriously affected by these uncertainties. Lexical study of the LXX can, and indeed ought to, proceed alongside of textual study, even though many textual problems remain unsolved. Deissmann was clearly right in saying that 'the knowledge of the lexical conditions is itself a pre- 3 liminary condition of textual criticism'. Nevertheless, lexical study itself affords evidence that may be used to test the age of our text. To begin with, of course, the fact that the Pentateuch is written in Koine Greek is an indication of date. But this allows too wide a span of time to be useful. It is possible however to find evidence for dating within this range by studying particular features of vocabulary. Some of these will be examined in Chapter VIII. The conclusion to which they lead is that our text must be older than about the middle of the second century B.C. Although this is not as narrow an indication of date as we should like,it is nevertheless of some value. Moreover, it is of interest to establish such a method of dating. It could, I believe, be usefully applied to other parts of the LXX. And there is a possibility of making it more accurate by investigating more features of the same kind as those that will be studied here. Rahlfs' text of the LXX will be taken as a basis on which to work. Variant readings (in the notation of Brooke-McLean) 3. BS 73 η.3. Daniel, Recherches 12, makes the same point.

18 will be noticed where they seriously affect the point under discussion. I have however tried as far as possible to avoid using examples that might be vitiated by uncertainty of the text. In the majority of cases the words examined occur without important variants and more than once. If it should turn out that some of my examples must be set aside because of the faultiness of the text used, the bulk of them is nevertheless sufficient to ensure that the general picture is not affected. In some instances the lexical study itself provides evidence that will be helpful in choosing between variants. Previous study of the LXX vocabulary Deissmann. It is natural to begin with the fundamental researches of 4 As is well known, it was he who made the discovery of the similarities between the language of the papyri and that of the Ν τ and LXX, a discovery that has been of the greatest significance for subsequent study. of examples are also valuable today. Deissmann's detailed studies Many of these can be supplemented with papyrus evidence that has since come to light, but in only a few cases does it substantially alter the picture. However, Deissmann dealt with only a small part of the LXX vocabulary. He was concerned more with the NT than the LXX, and in any case was not attempting to examine more than a sample of their vocabulary. most clearly illustrated his point. The examples he considered were those that For the NT vocabulary Deissmann's researches have been taken to their natural conclusion by Moulton and Milligan,^ but no such systematic enquiry into the papyri has so far been 4. G. Adolf Deissmann, Bible studies (transi, by A. Grieve of Bibelstudien 1895 and Neue Bibelstudien 1897), 2 ed., Edinburgh, 1909; Light from the Ancient East (transi, by L.R.M. Strachan of Licht vom Osten 4 ed. 1923), New York, J.H. Moulton and G. Milligan, The Vocabulary of the Greek Testament Illustrated from the Papyri and other Non-literary Sources, London,

19 undertaken for the LXX. One work published before Deissmann's discoveries, that by 7 Anz, is still worth attention today. Anz treated the LXX as a useful source for furthering our knowledge of the Koine generally. He examined 289 verbs in Genesis and Exodus, tracing their occurrences elsewhere in Greek, primarily in order to see what conclusions could be drawn about the origins of the Koine vocabulary and the various elements in it. In carrying out this examination he collected a good deal of useful and accurate material from Koine writers and the limited documentary evidence then available. Other older works are for the most part of little value Q now. Although they may contain useful observations on one point or another, they were unable to take account of the evidence which, as Deissmann discovered and as I hope further to demonstrate, is of such importance for the study of the LXX vocabulary. In the years since Deissmann's work appeared there have been numerous studies of particular words or groups of words in the LXX. Mme Daniel's examination of the cultic vocabulary, which recently appeared, is one of the most important, both for the detailed study of the words and for the general conclusions 9 that emerge. Also important is Repo s exhaustive examination 6. Attention has been drawn to the links between the two by Orsolina Montevecchi, 'Continuité ed evoluzione della lingua Greca nella Settanta e nei papiri', Actes du Χ Congrès Internat, de Papyrologues, 1964, This is a general survey, with extensive lists, but no detailed study of examples. My material has been gathered independently. 7. H. Anz, Subsidia ad cognos cendum Graocorum sermonem vulgarem e Pentateuchi versione Alexandrina repetita (Diss. Phil. Halenses XII.2), Halle, H.A.A. Kennedy, Sources of New Testament Greek, Edinburgh, 1895; E. Hatch, Essays in Biblical Greei,Oxford, 1889; H.Guil.J. Thiersch, De Pentateuchi versione Alexandrina, Erlangae, There is much good sense in F.Guil. Sturz,De dialecto Macedonica et Alexandrina, Lipsiae, 1808 ; even at that early date Sturz made use of the small amount of documentary evidence available. I have been unable to see K. Härtung, septuaginta-studien, Bamberg, 1886, which, according to Helbing, Gramm, p.ii, contains a certain amount of lexical material. 9. S. Daniel, Recherches sur le vocabulaire du culte dans le Septante (Études et Commentaires LXI), Paris, 1966.

20 of ρημα in the Greek of the LXX and WT. 1 0 There are many minor studies, especially of words of theological interest. For example, ιλάσκεσθαι and related words 11 <, 12 have been examined by Dodd, άγιος by Gehman, verbs of praise by Ledogar, 13 ψυχή" and related words by Lys. 1^ In many other instances an investigation of the LXX evidence forms the background to a study of some aspect of the NT vocabulary. The outstanding work of this kind is the well known Theologisches Wörterbuch zum Neuen Testament, edited by G. Kittel.''""' Most of the works just mentioned deal with words that are significant theologically. of studies of the LXX vocabulary. Indeed, this applies to the majority This preoccupation is understandable, but it has meant that much of the ordinary has been neglected. vocabulary Moreover, it is unfortunately true that many studies concerned with theologically significant terms are marred by unsound linguistic methods."^ On the whole, as Mme Daniel remarks, 'les recherches proprement philologiques ont,, ~ 17 ete jusqu 1 a maintenant plutôt négligées'. There are, however, one or two other works to be noticed. There is useful incidental treatment of vocabulary in the studies of Helbing and Huber, and in Thackeray's Grammar. 10. E. Repo, Der Begriff "Rhema" im Biblisch-Griechischen: eine traditionsgeschichtliche und semasiο 1ogis che Untersuchung, 2 vols., Helsinki, 1951 and C.H. Dodd, '"Ιλάσκεσθαι, its Cognates, Derivatives, and Synonyms in the LXX', JTS XXXII (1931) H.S. Gehman, ""Αγιος in the Septuagint, and its Relation to the Hebrew Original', ντ IV (1954) R.J. Ledogar, 'Verbs of Praise in the LXX Translation of the Hebrew Canon', Biblica XLVIII (1967) D. Lys, 'The Israelite Soul according to the LXX', ντ XVI (1966) A recent example of the same type of study is Ό. Hill, Greek Words and Hebrew Meanings, Cambridge, J. Barr's far-reaching criticisms of TWNT in this respect are well known. 17. Ree herc he s R. Helbing, Die Kasussyntax der Verba bei den Septuaginta, Göttingen, Κ. Huber, Untersuchungen über den Sprachcharakter des griechischen Leviticus (Diss. Zürich), Glessen, 1916.

21 Ziegler's examination of the LXX of isaiah includes a compari- 20 son of the book's vocabulary with that of the papyri. Also to be noted is Barr's discussion of words for time, which in- 21 eludes a valuable study of these words in the LXX. In an article published in rextus, Gehman deals briefly 22 with a number of LXX words and uses. The contribution of these notes to LXX lexicography is however very limited. Gehman examines only Hebraistic uses, many of which have been 23 noted before, and the discussion of them is sketchy, and unreliable in some points of detail. Further mention must be made of the standard lexicons, which of course also form contributions to the study of the LXX vocabulary. LSJ includes a large amount of LXX material, but as is 24 mostly well known, is often in error. A particular fault is its tendency to equate the LXX word with the Hebrev; it translates when there is no good reason to do so. In some instances the meaning given seems to be adopted directly from one of the English versions of the οτ. is its frequent omission of important matter. Less obvious, but just as serious, Bauer's excellent lexicon of the NT is of course of great value for the study of the LXX. It can be relied on for accurate and up-to-date treatment of the NT vocabulary, and it also 20. J. Ziegler, Untersuchungen zur Septuaginta des Buches isaias (Alttestamentliche Abhandlungen XII 3), Münster, J. Barr, Biblical Words for Time (Studies in Biblical Theology, 33), London, H.S. Gehman, 'Adventures in Septuagint Lexicography', rextus V (1966) Gehman says, ib. p.125, that he began some years ago to compile a dictionary of Septuagint Greek, with the help of his graduate students, and that most of the work completed is now deposited on microfilm in the Speer Library of the Princeton Theological Seminary. I have no knowledge of this material. Nor have I been able to accompany Gehman on his 'Rambles in Septuagint Lexicography', Ind. Journal of Theology XIV (1965) See e.g. Thackeray, Gramm. 39ff. 24. See G.B. Caird, 'Towards a Lexicon of the Septuagint', I, JTS XIX (1968) ; II, JTS XX (1969) 21-40, chiefly corrections of LSJ's errors in the treatment of LXX vocabulary. The recent Supplement to LSJ, ed. E.A. Barber, Oxford, 1968, contains many similar errors: see my article in GJottaXLVII (1969)

22 gives frequent references to the LXX. However, the vocabulary that the LXX and NT have in common is less than is often supposed. In particular it is to be noted that words common to both often vary considerably in regard to their uses. In the same way MM, although an indispensable of information, does not treat all LXX words and uses. storehouse It can moreover be supplemented even in the case of a number of those it does treat. As to Schleusner, there is little to be added to what was said above. It is true that Schleusner's work is 'sober and 2 5 learned throughout', and from time to time offers suggestions that are still useful today. But from a lexicographical point 2 6 of view it must be regarded as quite obsolete. It is convenient to mention here certain other lexicons and indexes that are not directly concerned with the LXX, but are essential tools for the study of the Greek vocabulary. Preisigke. For the papyri there is the well-known Wörterbuch of 2 7 This work however is out of date, a fact that seems often to be forgotten. The last part appeared in 1927, but it does not cover much papyrological material later than about A supplement by Kiessling, itself rapidly going out of date, reached Eup- in Kiessling has recently published (1969) a further supplement for the whole alphabet in the form of an index, which apparently covers material published between 1940 and Although these works cover the bulk of the material, the only sure way to investigate the papyri is to check the indexes of the individual papyrus publications themselves. I have drawn attention to these points because they may 2 8 not be generally known to students of the LXX, and it is important that none of the available papyrus evidence should be 25. H.M. Orlinsky, HUCA XXVIII (1957) Jellicoe, SMS 335, 359, seems to me to overrate Schleusner. 27. For the full titles of Preisigke and other works mentioned see Abbreviations and Bibliography. 28. Jellicoe, SMS 335, discussing the tools available for lexical study of the LXX, lists Preisigke without comment, and does not mention Kiessling's supplements either there or in the Bibliography.

2 Composition. Invertible Mappings

2 Composition. Invertible Mappings Arkansas Tech University MATH 4033: Elementary Modern Algebra Dr. Marcel B. Finan Composition. Invertible Mappings In this section we discuss two procedures for creating new mappings from old ones, namely,

Διαβάστε περισσότερα

Every set of first-order formulas is equivalent to an independent set

Every set of first-order formulas is equivalent to an independent set Every set of first-order formulas is equivalent to an independent set May 6, 2008 Abstract A set of first-order formulas, whatever the cardinality of the set of symbols, is equivalent to an independent

Διαβάστε περισσότερα

derivation of the Laplacian from rectangular to spherical coordinates

derivation of the Laplacian from rectangular to spherical coordinates derivation of the Laplacian from rectangular to spherical coordinates swapnizzle 03-03- :5:43 We begin by recognizing the familiar conversion from rectangular to spherical coordinates (note that φ is used

Διαβάστε περισσότερα

HOMEWORK 4 = G. In order to plot the stress versus the stretch we define a normalized stretch:

HOMEWORK 4 = G. In order to plot the stress versus the stretch we define a normalized stretch: HOMEWORK 4 Problem a For the fast loading case, we want to derive the relationship between P zz and λ z. We know that the nominal stress is expressed as: P zz = ψ λ z where λ z = λ λ z. Therefore, applying

Διαβάστε περισσότερα

Strain gauge and rosettes

Strain gauge and rosettes Strain gauge and rosettes Introduction A strain gauge is a device which is used to measure strain (deformation) on an object subjected to forces. Strain can be measured using various types of devices classified

Διαβάστε περισσότερα

«ΑΓΡΟΤΟΥΡΙΣΜΟΣ ΚΑΙ ΤΟΠΙΚΗ ΑΝΑΠΤΥΞΗ: Ο ΡΟΛΟΣ ΤΩΝ ΝΕΩΝ ΤΕΧΝΟΛΟΓΙΩΝ ΣΤΗΝ ΠΡΟΩΘΗΣΗ ΤΩΝ ΓΥΝΑΙΚΕΙΩΝ ΣΥΝΕΤΑΙΡΙΣΜΩΝ»

«ΑΓΡΟΤΟΥΡΙΣΜΟΣ ΚΑΙ ΤΟΠΙΚΗ ΑΝΑΠΤΥΞΗ: Ο ΡΟΛΟΣ ΤΩΝ ΝΕΩΝ ΤΕΧΝΟΛΟΓΙΩΝ ΣΤΗΝ ΠΡΟΩΘΗΣΗ ΤΩΝ ΓΥΝΑΙΚΕΙΩΝ ΣΥΝΕΤΑΙΡΙΣΜΩΝ» I ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΣΧΟΛΗ ΝΟΜΙΚΩΝ ΟΙΚΟΝΟΜΙΚΩΝ ΚΑΙ ΠΟΛΙΤΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΤΜΗΜΑ ΟΙΚΟΝΟΜΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΣΤΗΝ «ΔΙΟΙΚΗΣΗ ΚΑΙ ΟΙΚΟΝΟΜΙΑ» ΚΑΤΕΥΘΥΝΣΗ: ΟΙΚΟΝΟΜΙΚΗ

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΨΥΧΟΛΟΓΙΚΕΣ ΕΠΙΠΤΩΣΕΙΣ ΣΕ ΓΥΝΑΙΚΕΣ ΜΕΤΑ ΑΠΟ ΜΑΣΤΕΚΤΟΜΗ ΓΕΩΡΓΙΑ ΤΡΙΣΟΚΚΑ Λευκωσία 2012 ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ

Διαβάστε περισσότερα

CHAPTER 25 SOLVING EQUATIONS BY ITERATIVE METHODS

CHAPTER 25 SOLVING EQUATIONS BY ITERATIVE METHODS CHAPTER 5 SOLVING EQUATIONS BY ITERATIVE METHODS EXERCISE 104 Page 8 1. Find the positive root of the equation x + 3x 5 = 0, correct to 3 significant figures, using the method of bisection. Let f(x) =

Διαβάστε περισσότερα

Συντακτικές λειτουργίες

Συντακτικές λειτουργίες 2 Συντακτικές λειτουργίες (Syntactic functions) A. Πτώσεις και συντακτικές λειτουργίες (Cases and syntactic functions) The subject can be identified by asking ποιος (who) or τι (what) the sentence is about.

Διαβάστε περισσότερα

Modern Greek Extension

Modern Greek Extension Centre Number 2017 HIGHER SCHOOL CERTIFICATE EXAMINATION Student Number Modern Greek Extension Written Examination General Instructions Reading time 10 minutes Working time 1 hour and 50 minutes Write

Διαβάστε περισσότερα

C.S. 430 Assignment 6, Sample Solutions

C.S. 430 Assignment 6, Sample Solutions C.S. 430 Assignment 6, Sample Solutions Paul Liu November 15, 2007 Note that these are sample solutions only; in many cases there were many acceptable answers. 1 Reynolds Problem 10.1 1.1 Normal-order

Διαβάστε περισσότερα

EE512: Error Control Coding

EE512: Error Control Coding EE512: Error Control Coding Solution for Assignment on Finite Fields February 16, 2007 1. (a) Addition and Multiplication tables for GF (5) and GF (7) are shown in Tables 1 and 2. + 0 1 2 3 4 0 0 1 2 3

Διαβάστε περισσότερα

Math 6 SL Probability Distributions Practice Test Mark Scheme

Math 6 SL Probability Distributions Practice Test Mark Scheme Math 6 SL Probability Distributions Practice Test Mark Scheme. (a) Note: Award A for vertical line to right of mean, A for shading to right of their vertical line. AA N (b) evidence of recognizing symmetry

Διαβάστε περισσότερα

Ακαδημαϊκός Λόγος Εισαγωγή

Ακαδημαϊκός Λόγος Εισαγωγή - In this essay/paper/thesis I shall examine/investigate/evaluate/analyze Γενική εισαγωγή για μια εργασία/διατριβή Σε αυτήν την εργασία/διατριβή θα αναλύσω/εξετάσω/διερευνήσω/αξιολογήσω... To answer this

Διαβάστε περισσότερα

14 Lesson 2: The Omega Verb - Present Tense

14 Lesson 2: The Omega Verb - Present Tense Lesson 2: The Omega Verb - Present Tense Day one I. Word Study and Grammar 1. Most Greek verbs end in in the first person singular. 2. The present tense is formed by adding endings to the present stem.

Διαβάστε περισσότερα

4.6 Autoregressive Moving Average Model ARMA(1,1)

4.6 Autoregressive Moving Average Model ARMA(1,1) 84 CHAPTER 4. STATIONARY TS MODELS 4.6 Autoregressive Moving Average Model ARMA(,) This section is an introduction to a wide class of models ARMA(p,q) which we will consider in more detail later in this

Διαβάστε περισσότερα

Instruction Execution Times

Instruction Execution Times 1 C Execution Times InThisAppendix... Introduction DL330 Execution Times DL330P Execution Times DL340 Execution Times C-2 Execution Times Introduction Data Registers This appendix contains several tables

Διαβάστε περισσότερα

ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ ΣΕ ΕΙΔΙΚΑ ΘΕΜΑΤΑ ΔΙΕΘΝΩΝ ΣΧΕΣΕΩΝ & ΟΙΚΟΝΟΜΙΑΣ

ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ ΣΕ ΕΙΔΙΚΑ ΘΕΜΑΤΑ ΔΙΕΘΝΩΝ ΣΧΕΣΕΩΝ & ΟΙΚΟΝΟΜΙΑΣ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ ΣΕ ΕΙΔΙΚΑ ΘΕΜΑΤΑ ΔΙΕΘΝΩΝ ΣΧΕΣΕΩΝ & ΟΙΚΟΝΟΜΙΑΣ Ενότητα 1β: Principles of PS Ιφιγένεια Μαχίλη Τμήμα Οικονομικών Επιστημών Άδειες Χρήσης Το παρόν εκπαιδευτικό υλικό υπόκειται σε άδειες χρήσης

Διαβάστε περισσότερα

ΠΑΡΑΜΕΤΡΟΙ ΕΠΗΡΕΑΣΜΟΥ ΤΗΣ ΑΝΑΓΝΩΣΗΣ- ΑΠΟΚΩΔΙΚΟΠΟΙΗΣΗΣ ΤΗΣ BRAILLE ΑΠΟ ΑΤΟΜΑ ΜΕ ΤΥΦΛΩΣΗ

ΠΑΡΑΜΕΤΡΟΙ ΕΠΗΡΕΑΣΜΟΥ ΤΗΣ ΑΝΑΓΝΩΣΗΣ- ΑΠΟΚΩΔΙΚΟΠΟΙΗΣΗΣ ΤΗΣ BRAILLE ΑΠΟ ΑΤΟΜΑ ΜΕ ΤΥΦΛΩΣΗ ΠΑΝΕΠΙΣΤΗΜΙΟ ΜΑΚΕΔΟΝΙΑΣ ΟΙΚΟΝΟΜΙΚΩΝ ΚΑΙ ΚΟΙΝΩΝΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΤΜΗΜΑ ΕΚΠΑΙΔΕΥΤΙΚΗΣ ΚΑΙ ΚΟΙΝΩΝΙΚΗΣ ΠΟΛΙΤΙΚΗΣ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΠΑΡΑΜΕΤΡΟΙ ΕΠΗΡΕΑΣΜΟΥ ΤΗΣ ΑΝΑΓΝΩΣΗΣ- ΑΠΟΚΩΔΙΚΟΠΟΙΗΣΗΣ ΤΗΣ BRAILLE

Διαβάστε περισσότερα

Ακαδημαϊκός Λόγος Εισαγωγή

Ακαδημαϊκός Λόγος Εισαγωγή - Σε αυτήν την εργασία/διατριβή θα αναλύσω/εξετάσω/διερευνήσω/αξιολογήσω... Γενική εισαγωγή για μια εργασία/διατριβή In this essay/paper/thesis I shall examine/investigate/evaluate/analyze Για να απαντήσουμε

Διαβάστε περισσότερα

ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΕΙΡΑΙΑ ΤΜΗΜΑ ΝΑΥΤΙΛΙΑΚΩΝ ΣΠΟΥΔΩΝ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΣΤΗΝ ΝΑΥΤΙΛΙΑ

ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΕΙΡΑΙΑ ΤΜΗΜΑ ΝΑΥΤΙΛΙΑΚΩΝ ΣΠΟΥΔΩΝ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΣΤΗΝ ΝΑΥΤΙΛΙΑ ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΕΙΡΑΙΑ ΤΜΗΜΑ ΝΑΥΤΙΛΙΑΚΩΝ ΣΠΟΥΔΩΝ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΣΤΗΝ ΝΑΥΤΙΛΙΑ ΝΟΜΙΚΟ ΚΑΙ ΘΕΣΜΙΚΟ ΦΟΡΟΛΟΓΙΚΟ ΠΛΑΙΣΙΟ ΚΤΗΣΗΣ ΚΑΙ ΕΚΜΕΤΑΛΛΕΥΣΗΣ ΠΛΟΙΟΥ ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ που υποβλήθηκε στο

Διαβάστε περισσότερα

Concrete Mathematics Exercises from 30 September 2016

Concrete Mathematics Exercises from 30 September 2016 Concrete Mathematics Exercises from 30 September 2016 Silvio Capobianco Exercise 1.7 Let H(n) = J(n + 1) J(n). Equation (1.8) tells us that H(2n) = 2, and H(2n+1) = J(2n+2) J(2n+1) = (2J(n+1) 1) (2J(n)+1)

Διαβάστε περισσότερα

Section 8.3 Trigonometric Equations

Section 8.3 Trigonometric Equations 99 Section 8. Trigonometric Equations Objective 1: Solve Equations Involving One Trigonometric Function. In this section and the next, we will exple how to solving equations involving trigonometric functions.

Διαβάστε περισσότερα

Lecture 2. Soundness and completeness of propositional logic

Lecture 2. Soundness and completeness of propositional logic Lecture 2 Soundness and completeness of propositional logic February 9, 2004 1 Overview Review of natural deduction. Soundness and completeness. Semantics of propositional formulas. Soundness proof. Completeness

Διαβάστε περισσότερα

Phys460.nb Solution for the t-dependent Schrodinger s equation How did we find the solution? (not required)

Phys460.nb Solution for the t-dependent Schrodinger s equation How did we find the solution? (not required) Phys460.nb 81 ψ n (t) is still the (same) eigenstate of H But for tdependent H. The answer is NO. 5.5.5. Solution for the tdependent Schrodinger s equation If we assume that at time t 0, the electron starts

Διαβάστε περισσότερα

Η ΨΥΧΙΑΤΡΙΚΗ - ΨΥΧΟΛΟΓΙΚΗ ΠΡΑΓΜΑΤΟΓΝΩΜΟΣΥΝΗ ΣΤΗΝ ΠΟΙΝΙΚΗ ΔΙΚΗ

Η ΨΥΧΙΑΤΡΙΚΗ - ΨΥΧΟΛΟΓΙΚΗ ΠΡΑΓΜΑΤΟΓΝΩΜΟΣΥΝΗ ΣΤΗΝ ΠΟΙΝΙΚΗ ΔΙΚΗ ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΝΟΜΙΚΗ ΣΧΟΛΗ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΤΟΜΕΑΣ ΙΣΤΟΡΙΑΣ ΦΙΛΟΣΟΦΙΑΣ ΚΑΙ ΚΟΙΝΩΝΙΟΛΟΓΙΑΣ ΤΟΥ ΔΙΚΑΙΟΥ Διπλωματική εργασία στο μάθημα «ΚΟΙΝΩΝΙΟΛΟΓΙΑ ΤΟΥ ΔΙΚΑΙΟΥ»

Διαβάστε περισσότερα

Section 1: Listening and responding. Presenter: Niki Farfara MGTAV VCE Seminar 7 August 2016

Section 1: Listening and responding. Presenter: Niki Farfara MGTAV VCE Seminar 7 August 2016 Section 1: Listening and responding Presenter: Niki Farfara MGTAV VCE Seminar 7 August 2016 Section 1: Listening and responding Section 1: Listening and Responding/ Aκουστική εξέταση Στο πρώτο μέρος της

Διαβάστε περισσότερα

Math221: HW# 1 solutions

Math221: HW# 1 solutions Math: HW# solutions Andy Royston October, 5 7.5.7, 3 rd Ed. We have a n = b n = a = fxdx = xdx =, x cos nxdx = x sin nx n sin nxdx n = cos nx n = n n, x sin nxdx = x cos nx n + cos nxdx n cos n = + sin

Διαβάστε περισσότερα

Finite Field Problems: Solutions

Finite Field Problems: Solutions Finite Field Problems: Solutions 1. Let f = x 2 +1 Z 11 [x] and let F = Z 11 [x]/(f), a field. Let Solution: F =11 2 = 121, so F = 121 1 = 120. The possible orders are the divisors of 120. Solution: The

Διαβάστε περισσότερα

Chapter 2 * * * * * * * Introduction to Verbs * * * * * * *

Chapter 2 * * * * * * * Introduction to Verbs * * * * * * * Chapter 2 * * * * * * * Introduction to Verbs * * * * * * * In the first chapter, we practiced the skill of reading Greek words. Now we want to try to understand some parts of what we read. There are a

Διαβάστε περισσότερα

Πτυχιακή Εργασία Η ΠΟΙΟΤΗΤΑ ΖΩΗΣ ΤΩΝ ΑΣΘΕΝΩΝ ΜΕ ΣΤΗΘΑΓΧΗ

Πτυχιακή Εργασία Η ΠΟΙΟΤΗΤΑ ΖΩΗΣ ΤΩΝ ΑΣΘΕΝΩΝ ΜΕ ΣΤΗΘΑΓΧΗ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ Πτυχιακή Εργασία Η ΠΟΙΟΤΗΤΑ ΖΩΗΣ ΤΩΝ ΑΣΘΕΝΩΝ ΜΕ ΣΤΗΘΑΓΧΗ Νικόλας Χριστοδούλου Λευκωσία, 2012 ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ

Διαβάστε περισσότερα

Advanced Subsidiary Unit 1: Understanding and Written Response

Advanced Subsidiary Unit 1: Understanding and Written Response Write your name here Surname Other names Edexcel GE entre Number andidate Number Greek dvanced Subsidiary Unit 1: Understanding and Written Response Thursday 16 May 2013 Morning Time: 2 hours 45 minutes

Διαβάστε περισσότερα

Εκδηλώσεις Συλλόγων. La page du francais. Τα γλωσσοψυχο -παιδαγωγικά. Εξετάσεις PTE Δεκεμβρίου 2013

Εκδηλώσεις Συλλόγων. La page du francais. Τα γλωσσοψυχο -παιδαγωγικά. Εξετάσεις PTE Δεκεμβρίου 2013 296 Αύγουστος 2013 ΓΙΑΝΝΗΣ ΜΙΧΑΗΛΙΔΗΣ ΑΠΟΔΕΙΞΑΜΕ ΟΤΙ ΜΕ ΟΜΑΔΙΚΟΤΗΤΑ ΠΕΡΝΑΜΕ ΤΑ ΕΜΠΟΔΙΑ Με την έναρξη της σχολικής χρονιάς βρισκόμαστε στην αφετηρία σε μια δύσκολη κούρσα με τεχνητά εμπόδια, που ακόμη και

Διαβάστε περισσότερα

6.1. Dirac Equation. Hamiltonian. Dirac Eq.

6.1. Dirac Equation. Hamiltonian. Dirac Eq. 6.1. Dirac Equation Ref: M.Kaku, Quantum Field Theory, Oxford Univ Press (1993) η μν = η μν = diag(1, -1, -1, -1) p 0 = p 0 p = p i = -p i p μ p μ = p 0 p 0 + p i p i = E c 2 - p 2 = (m c) 2 H = c p 2

Διαβάστε περισσότερα

Η αλληλεπίδραση ανάμεσα στην καθημερινή γλώσσα και την επιστημονική ορολογία: παράδειγμα από το πεδίο της Κοσμολογίας

Η αλληλεπίδραση ανάμεσα στην καθημερινή γλώσσα και την επιστημονική ορολογία: παράδειγμα από το πεδίο της Κοσμολογίας Η αλληλεπίδραση ανάμεσα στην καθημερινή γλώσσα και την επιστημονική ορολογία: παράδειγμα από το πεδίο της Κοσμολογίας ΠΕΡΙΛΗΨΗ Αριστείδης Κοσιονίδης Η κατανόηση των εννοιών ενός επιστημονικού πεδίου απαιτεί

Διαβάστε περισσότερα

the total number of electrons passing through the lamp.

the total number of electrons passing through the lamp. 1. A 12 V 36 W lamp is lit to normal brightness using a 12 V car battery of negligible internal resistance. The lamp is switched on for one hour (3600 s). For the time of 1 hour, calculate (i) the energy

Διαβάστε περισσότερα

Η ΔΙΑΣΤΡΕΥΛΩΣΗ ΤΗΣ ΕΛΛΗΝΙΚΗΣ ΓΛΩΣΣΑΣ ΜΕΣΩ ΤΩΝ SOCIAL MEDIA ΤΗΝ ΤΕΛΕΥΤΑΙΑ ΠΕΝΤΑΕΤΙΑ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΤΗΣ ΑΝΑΣΤΑΣΙΑΣ-ΜΑΡΙΝΑΣ ΔΑΦΝΗ

Η ΔΙΑΣΤΡΕΥΛΩΣΗ ΤΗΣ ΕΛΛΗΝΙΚΗΣ ΓΛΩΣΣΑΣ ΜΕΣΩ ΤΩΝ SOCIAL MEDIA ΤΗΝ ΤΕΛΕΥΤΑΙΑ ΠΕΝΤΑΕΤΙΑ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΤΗΣ ΑΝΑΣΤΑΣΙΑΣ-ΜΑΡΙΝΑΣ ΔΑΦΝΗ Η ΔΙΑΣΤΡΕΥΛΩΣΗ ΤΗΣ ΕΛΛΗΝΙΚΗΣ ΓΛΩΣΣΑΣ ΜΕΣΩ ΤΩΝ SOCIAL MEDIA ΤΗΝ ΤΕΛΕΥΤΑΙΑ ΠΕΝΤΑΕΤΙΑ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΤΗΣ ΑΝΑΣΤΑΣΙΑΣ-ΜΑΡΙΝΑΣ ΔΑΦΝΗ Τμήμα Δημοσίων Σχέσεων & Επικοινωνίας Τεχνολογικό Εκπαιδευτικό Ίδρυμα Ιονίων

Διαβάστε περισσότερα

Τ.Ε.Ι. ΔΥΤΙΚΗΣ ΜΑΚΕΔΟΝΙΑΣ ΠΑΡΑΡΤΗΜΑ ΚΑΣΤΟΡΙΑΣ ΤΜΗΜΑ ΔΗΜΟΣΙΩΝ ΣΧΕΣΕΩΝ & ΕΠΙΚΟΙΝΩΝΙΑΣ

Τ.Ε.Ι. ΔΥΤΙΚΗΣ ΜΑΚΕΔΟΝΙΑΣ ΠΑΡΑΡΤΗΜΑ ΚΑΣΤΟΡΙΑΣ ΤΜΗΜΑ ΔΗΜΟΣΙΩΝ ΣΧΕΣΕΩΝ & ΕΠΙΚΟΙΝΩΝΙΑΣ Τ.Ε.Ι. ΔΥΤΙΚΗΣ ΜΑΚΕΔΟΝΙΑΣ ΠΑΡΑΡΤΗΜΑ ΚΑΣΤΟΡΙΑΣ ΤΜΗΜΑ ΔΗΜΟΣΙΩΝ ΣΧΕΣΕΩΝ & ΕΠΙΚΟΙΝΩΝΙΑΣ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ Η προβολή επιστημονικών θεμάτων από τα ελληνικά ΜΜΕ : Η κάλυψή τους στον ελληνικό ημερήσιο τύπο Σαραλιώτου

Διαβάστε περισσότερα

Επιβλέπουσα Καθηγήτρια: ΣΟΦΙΑ ΑΡΑΒΟΥ ΠΑΠΑΔΑΤΟΥ

Επιβλέπουσα Καθηγήτρια: ΣΟΦΙΑ ΑΡΑΒΟΥ ΠΑΠΑΔΑΤΟΥ EΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ ΕΚΠΑΙΔΕΥΤΙΚΟ ΤΕΧΝΟΛΟΓΙΚΟ ΙΔΡΥΜΑ ΤΕΙ ΙΟΝΙΩΝ ΝΗΣΩΝ ΤΜΗΜΑ ΔΗΜΟΣΙΩΝ ΣΧΕΣΕΩΝ & ΕΠΙΚΟΙΝΩΝΙΑΣ Ταχ. Δ/νση : Λεωφ. Αντ.Τρίτση, Αργοστόλι Κεφαλληνίας Τ.Κ. 28 100 τηλ. : 26710-27311 fax : 26710-27312

Διαβάστε περισσότερα

F-TF Sum and Difference angle

F-TF Sum and Difference angle F-TF Sum and Difference angle formulas Alignments to Content Standards: F-TF.C.9 Task In this task, you will show how all of the sum and difference angle formulas can be derived from a single formula when

Διαβάστε περισσότερα

Homework 3 Solutions

Homework 3 Solutions Homework 3 Solutions Igor Yanovsky (Math 151A TA) Problem 1: Compute the absolute error and relative error in approximations of p by p. (Use calculator!) a) p π, p 22/7; b) p π, p 3.141. Solution: For

Διαβάστε περισσότερα

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 19/5/2007

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 19/5/2007 Οδηγίες: Να απαντηθούν όλες οι ερωτήσεις. Αν κάπου κάνετε κάποιες υποθέσεις να αναφερθούν στη σχετική ερώτηση. Όλα τα αρχεία που αναφέρονται στα προβλήματα βρίσκονται στον ίδιο φάκελο με το εκτελέσιμο

Διαβάστε περισσότερα

ΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ. ΘΕΜΑ: «ιερεύνηση της σχέσης µεταξύ φωνηµικής επίγνωσης και ορθογραφικής δεξιότητας σε παιδιά προσχολικής ηλικίας»

ΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ. ΘΕΜΑ: «ιερεύνηση της σχέσης µεταξύ φωνηµικής επίγνωσης και ορθογραφικής δεξιότητας σε παιδιά προσχολικής ηλικίας» ΠΑΝΕΠΙΣΤΗΜΙΟ ΑΙΓΑΙΟΥ ΣΧΟΛΗ ΑΝΘΡΩΠΙΣΤΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΤΜΗΜΑ ΕΠΙΣΤΗΜΩΝ ΤΗΣ ΠΡΟΣΧΟΛΙΚΗΣ ΑΓΩΓΗΣ ΚΑΙ ΤΟΥ ΕΚΠΑΙ ΕΥΤΙΚΟΥ ΣΧΕ ΙΑΣΜΟΥ «ΠΑΙ ΙΚΟ ΒΙΒΛΙΟ ΚΑΙ ΠΑΙ ΑΓΩΓΙΚΟ ΥΛΙΚΟ» ΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ που εκπονήθηκε για τη

Διαβάστε περισσότερα

LECTURE 2 CONTEXT FREE GRAMMARS CONTENTS

LECTURE 2 CONTEXT FREE GRAMMARS CONTENTS LECTURE 2 CONTEXT FREE GRAMMARS CONTENTS 1. Developing a grammar fragment...1 2. A formalism that is too strong and too weak at the same time...3 3. References...4 1. Developing a grammar fragment The

Διαβάστε περισσότερα

Η ΠΡΟΣΩΠΙΚΗ ΟΡΙΟΘΕΤΗΣΗ ΤΟΥ ΧΩΡΟΥ Η ΠΕΡΙΠΤΩΣΗ ΤΩΝ CHAT ROOMS

Η ΠΡΟΣΩΠΙΚΗ ΟΡΙΟΘΕΤΗΣΗ ΤΟΥ ΧΩΡΟΥ Η ΠΕΡΙΠΤΩΣΗ ΤΩΝ CHAT ROOMS ΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ ΤΕΧΝΟΛΟΓΙΚΟ ΕΚΠΑΙΔΕΥΤΙΚΟ ΙΔΡΥΜΑ Ι Ο Ν Ι Ω Ν Ν Η Σ Ω Ν ΤΜΗΜΑ ΔΗΜΟΣΙΩΝ ΣΧΕΣΕΩΝ & ΕΠΙΚΟΙΝΩΝΙΑΣ Ταχ. Δ/νση : ΑΤΕΙ Ιονίων Νήσων- Λεωφόρος Αντώνη Τρίτση Αργοστόλι Κεφαλληνίας, Ελλάδα 28100,+30

Διαβάστε περισσότερα

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ανοικτά Ακαδημαϊκά Μαθήματα στο ΤΕΙ Ιονίων Νήσων ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ενότητα 4: English a Language of Economy Το περιεχόμενο του μαθήματος διατίθεται με άδεια

Διαβάστε περισσότερα

ΦΥΛΛΟ ΕΡΓΑΣΙΑΣ Α. Διαβάστε τις ειδήσεις και εν συνεχεία σημειώστε. Οπτική γωνία είδησης 1:.

ΦΥΛΛΟ ΕΡΓΑΣΙΑΣ Α.  Διαβάστε τις ειδήσεις και εν συνεχεία σημειώστε. Οπτική γωνία είδησης 1:. ΦΥΛΛΟ ΕΡΓΑΣΙΑΣ Α 2 ειδήσεις από ελληνικές εφημερίδες: 1. Τα Νέα, 13-4-2010, Σε ανθρώπινο λάθος αποδίδουν τη συντριβή του αεροσκάφους, http://www.tanea.gr/default.asp?pid=2&artid=4569526&ct=2 2. Τα Νέα,

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΕΚΠΑΙΔΕΥΤΙΚΟ ΙΔΡΥΜΑ ΗΡΑΚΛΕΙΟ ΚΡΗΤΗΣ ΣΧΟΛΗ ΔΙΟΙΚΗΣΗΣ ΚΑΙ ΟΙΚΟΝΟΜΙΑΣ ΤΜΗΜΑ ΛΟΓΙΣΤΙΚΗΣ

ΤΕΧΝΟΛΟΓΙΚΟ ΕΚΠΑΙΔΕΥΤΙΚΟ ΙΔΡΥΜΑ ΗΡΑΚΛΕΙΟ ΚΡΗΤΗΣ ΣΧΟΛΗ ΔΙΟΙΚΗΣΗΣ ΚΑΙ ΟΙΚΟΝΟΜΙΑΣ ΤΜΗΜΑ ΛΟΓΙΣΤΙΚΗΣ ΤΕΧΝΟΛΟΓΙΚΟ ΕΚΠΑΙΔΕΥΤΙΚΟ ΙΔΡΥΜΑ ΗΡΑΚΛΕΙΟ ΚΡΗΤΗΣ ΣΧΟΛΗ ΔΙΟΙΚΗΣΗΣ ΚΑΙ ΟΙΚΟΝΟΜΙΑΣ ΤΜΗΜΑ ΛΟΓΙΣΤΙΚΗΣ Π Τ Υ Χ Ι Α Κ Η Ε Ρ Γ Α Σ Ι Α: Ο ΡΟΛΟΣ ΤΗΣ ΣΥΝΑΙΣΘΗΜΑΤΙΚΗΣ ΝΟΗΜΟΣΥΝΗΣ ΣΤΗΝ ΑΠΟΤΕΛΕΣΜΑΤΙΚΗ ΗΓΕΣΙΑ ΕΠΙΜΕΛΕΙΑ

Διαβάστε περισσότερα

ΑΓΓΛΙΚΑ IV. Ενότητα 8: Analysis of Consumerism and Consumers Rights. Ιφιγένεια Μαχίλη Τμήμα Οικονομικών Επιστημών

ΑΓΓΛΙΚΑ IV. Ενότητα 8: Analysis of Consumerism and Consumers Rights. Ιφιγένεια Μαχίλη Τμήμα Οικονομικών Επιστημών Ενότητα 8: Analysis of Consumerism and Consumers Rights Ιφιγένεια Μαχίλη Άδειες Χρήσης Το παρόν εκπαιδευτικό υλικό υπόκειται σε άδειες χρήσης Creative Commons. Για εκπαιδευτικό υλικό, όπως εικόνες, που

Διαβάστε περισσότερα

LESSON 14 (ΜΑΘΗΜΑ ΔΕΚΑΤΕΣΣΕΡΑ) REF : 202/057/34-ADV. 18 February 2014

LESSON 14 (ΜΑΘΗΜΑ ΔΕΚΑΤΕΣΣΕΡΑ) REF : 202/057/34-ADV. 18 February 2014 LESSON 14 (ΜΑΘΗΜΑ ΔΕΚΑΤΕΣΣΕΡΑ) REF : 202/057/34-ADV 18 February 2014 Slowly/quietly Clear/clearly Clean Quickly/quick/fast Hurry (in a hurry) Driver Attention/caution/notice/care Dance Σιγά Καθαρά Καθαρός/η/ο

Διαβάστε περισσότερα

6.3 Forecasting ARMA processes

6.3 Forecasting ARMA processes 122 CHAPTER 6. ARMA MODELS 6.3 Forecasting ARMA processes The purpose of forecasting is to predict future values of a TS based on the data collected to the present. In this section we will discuss a linear

Διαβάστε περισσότερα

Right Rear Door. Let's now finish the door hinge saga with the right rear door

Right Rear Door. Let's now finish the door hinge saga with the right rear door Right Rear Door Let's now finish the door hinge saga with the right rear door You may have been already guessed my steps, so there is not much to describe in detail. Old upper one file:///c /Documents

Διαβάστε περισσότερα

Example Sheet 3 Solutions

Example Sheet 3 Solutions Example Sheet 3 Solutions. i Regular Sturm-Liouville. ii Singular Sturm-Liouville mixed boundary conditions. iii Not Sturm-Liouville ODE is not in Sturm-Liouville form. iv Regular Sturm-Liouville note

Διαβάστε περισσότερα

Assalamu `alaikum wr. wb.

Assalamu `alaikum wr. wb. LUMP SUM Assalamu `alaikum wr. wb. LUMP SUM Wassalamu alaikum wr. wb. Assalamu `alaikum wr. wb. LUMP SUM Wassalamu alaikum wr. wb. LUMP SUM Lump sum lump sum lump sum. lump sum fixed price lump sum lump

Διαβάστε περισσότερα

Ordinal Arithmetic: Addition, Multiplication, Exponentiation and Limit

Ordinal Arithmetic: Addition, Multiplication, Exponentiation and Limit Ordinal Arithmetic: Addition, Multiplication, Exponentiation and Limit Ting Zhang Stanford May 11, 2001 Stanford, 5/11/2001 1 Outline Ordinal Classification Ordinal Addition Ordinal Multiplication Ordinal

Διαβάστε περισσότερα

ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΑΤΡΩΝ ΣΧΟΛΗ ΑΝΘΡΩΠΙΣΤΙΚΩΝ ΚΑΙ ΚΟΙΝΩΝΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΤΜΗΜΑ ΦΙΛΟΛΟΓΙΑΣ

ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΑΤΡΩΝ ΣΧΟΛΗ ΑΝΘΡΩΠΙΣΤΙΚΩΝ ΚΑΙ ΚΟΙΝΩΝΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΤΜΗΜΑ ΦΙΛΟΛΟΓΙΑΣ ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΑΤΡΩΝ ΣΧΟΛΗ ΑΝΘΡΩΠΙΣΤΙΚΩΝ ΚΑΙ ΚΟΙΝΩΝΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΤΜΗΜΑ ΦΙΛΟΛΟΓΙΑΣ Π.Μ.Σ: «Σύγχρονες Προσεγγίσεις στη γλώσσα και στα κείμενα» ΚΑΤΕΥΘΥΝΣΗ ΓΛΩΣΣΟΛΟΓΙΑΣ ΜΕΤΑΠΤΥΧΙΑΚΗ ΔΙΑΤΡΙΒΗ Το φωνηεντικό

Διαβάστε περισσότερα

department listing department name αχχουντσ ϕανε βαλικτ δδσϕηασδδη σδηφγ ασκϕηλκ τεχηνιχαλ αλαν ϕουν διξ τεχηνιχαλ ϕοην µαριανι

department listing department name αχχουντσ ϕανε βαλικτ δδσϕηασδδη σδηφγ ασκϕηλκ τεχηνιχαλ αλαν ϕουν διξ τεχηνιχαλ ϕοην µαριανι She selects the option. Jenny starts with the al listing. This has employees listed within She drills down through the employee. The inferred ER sttricture relates this to the redcords in the databasee

Διαβάστε περισσότερα

Démographie spatiale/spatial Demography

Démographie spatiale/spatial Demography ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΙΑΣ Démographie spatiale/spatial Demography Session 1: Introduction to spatial demography Basic concepts Michail Agorastakis Department of Planning & Regional Development Άδειες Χρήσης

Διαβάστε περισσότερα

Κάθε γνήσιο αντίγραφο φέρει υπογραφή του συγγραφέα. / Each genuine copy is signed by the author.

Κάθε γνήσιο αντίγραφο φέρει υπογραφή του συγγραφέα. / Each genuine copy is signed by the author. Κάθε γνήσιο αντίγραφο φέρει υπογραφή του συγγραφέα. / Each genuine copy is signed by the author. 2012, Γεράσιμος Χρ. Σιάσος / Gerasimos Siasos, All rights reserved. Στοιχεία επικοινωνίας συγγραφέα / Author

Διαβάστε περισσότερα

ω ω ω ω ω ω+2 ω ω+2 + ω ω ω ω+2 + ω ω+1 ω ω+2 2 ω ω ω ω ω ω ω ω+1 ω ω2 ω ω2 + ω ω ω2 + ω ω ω ω2 + ω ω+1 ω ω2 + ω ω+1 + ω ω ω ω2 + ω

ω ω ω ω ω ω+2 ω ω+2 + ω ω ω ω+2 + ω ω+1 ω ω+2 2 ω ω ω ω ω ω ω ω+1 ω ω2 ω ω2 + ω ω ω2 + ω ω ω ω2 + ω ω+1 ω ω2 + ω ω+1 + ω ω ω ω2 + ω 0 1 2 3 4 5 6 ω ω + 1 ω + 2 ω + 3 ω + 4 ω2 ω2 + 1 ω2 + 2 ω2 + 3 ω3 ω3 + 1 ω3 + 2 ω4 ω4 + 1 ω5 ω 2 ω 2 + 1 ω 2 + 2 ω 2 + ω ω 2 + ω + 1 ω 2 + ω2 ω 2 2 ω 2 2 + 1 ω 2 2 + ω ω 2 3 ω 3 ω 3 + 1 ω 3 + ω ω 3 +

Διαβάστε περισσότερα

Jesse Maassen and Mark Lundstrom Purdue University November 25, 2013

Jesse Maassen and Mark Lundstrom Purdue University November 25, 2013 Notes on Average Scattering imes and Hall Factors Jesse Maassen and Mar Lundstrom Purdue University November 5, 13 I. Introduction 1 II. Solution of the BE 1 III. Exercises: Woring out average scattering

Διαβάστε περισσότερα

Τμήμα Πολιτικών και Δομικών Έργων

Τμήμα Πολιτικών και Δομικών Έργων Τμήμα Πολιτικών και Δομικών Έργων Πτυχιακή Εργασία: Τοπογραφικό διάγραμμα σε ηλεκτρονική μορφή κεντρικού λιμένα Κέρκυρας και κτιρίου νέου επιβατικού σταθμού σε τρισδιάστατη μορφή και σχεδίαση με AutoCAD

Διαβάστε περισσότερα

ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΑΤΡΩΝ ΠΟΛΥΤΕΧΝΙΚΗ ΣΧΟΛΗ ΤΜΗΜΑ ΜΗΧΑΝΙΚΩΝ Η/Υ & ΠΛΗΡΟΦΟΡΙΚΗΣ. του Γεράσιμου Τουλιάτου ΑΜ: 697

ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΑΤΡΩΝ ΠΟΛΥΤΕΧΝΙΚΗ ΣΧΟΛΗ ΤΜΗΜΑ ΜΗΧΑΝΙΚΩΝ Η/Υ & ΠΛΗΡΟΦΟΡΙΚΗΣ. του Γεράσιμου Τουλιάτου ΑΜ: 697 ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΑΤΡΩΝ ΠΟΛΥΤΕΧΝΙΚΗ ΣΧΟΛΗ ΤΜΗΜΑ ΜΗΧΑΝΙΚΩΝ Η/Υ & ΠΛΗΡΟΦΟΡΙΚΗΣ ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ ΣΤΑ ΠΛΑΙΣΙΑ ΤΟΥ ΜΕΤΑΠΤΥΧΙΑΚΟΥ ΔΙΠΛΩΜΑΤΟΣ ΕΙΔΙΚΕΥΣΗΣ ΕΠΙΣΤΗΜΗ ΚΑΙ ΤΕΧΝΟΛΟΓΙΑ ΤΩΝ ΥΠΟΛΟΓΙΣΤΩΝ του Γεράσιμου Τουλιάτου

Διαβάστε περισσότερα

ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΒΑΛΕΝΤΙΝΑ ΠΑΠΑΔΟΠΟΥΛΟΥ Α.Μ.: 09/061. Υπεύθυνος Καθηγητής: Σάββας Μακρίδης

ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΒΑΛΕΝΤΙΝΑ ΠΑΠΑΔΟΠΟΥΛΟΥ Α.Μ.: 09/061. Υπεύθυνος Καθηγητής: Σάββας Μακρίδης Α.Τ.Ε.Ι. ΙΟΝΙΩΝ ΝΗΣΩΝ ΠΑΡΑΡΤΗΜΑ ΑΡΓΟΣΤΟΛΙΟΥ ΤΜΗΜΑ ΔΗΜΟΣΙΩΝ ΣΧΕΣΕΩΝ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑΣ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ «Η διαμόρφωση επικοινωνιακής στρατηγικής (και των τακτικών ενεργειών) για την ενδυνάμωση της εταιρικής

Διαβάστε περισσότερα

ΔΙΕΡΕΥΝΗΣΗ ΤΗΣ ΣΕΞΟΥΑΛΙΚΗΣ ΔΡΑΣΤΗΡΙΟΤΗΤΑΣ ΤΩΝ ΓΥΝΑΙΚΩΝ ΚΑΤΑ ΤΗ ΔΙΑΡΚΕΙΑ ΤΗΣ ΕΓΚΥΜΟΣΥΝΗΣ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ

ΔΙΕΡΕΥΝΗΣΗ ΤΗΣ ΣΕΞΟΥΑΛΙΚΗΣ ΔΡΑΣΤΗΡΙΟΤΗΤΑΣ ΤΩΝ ΓΥΝΑΙΚΩΝ ΚΑΤΑ ΤΗ ΔΙΑΡΚΕΙΑ ΤΗΣ ΕΓΚΥΜΟΣΥΝΗΣ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ Πτυχιακή Εργασία ΔΙΕΡΕΥΝΗΣΗ ΤΗΣ ΣΕΞΟΥΑΛΙΚΗΣ ΔΡΑΣΤΗΡΙΟΤΗΤΑΣ ΤΩΝ ΓΥΝΑΙΚΩΝ ΚΑΤΑ ΤΗ ΔΙΑΡΚΕΙΑ ΤΗΣ ΕΓΚΥΜΟΣΥΝΗΣ ΑΝΔΡΕΟΥ ΣΤΕΦΑΝΙΑ Λεμεσός 2012 i ii ΤΕΧΝΟΛΟΓΙΚΟ

Διαβάστε περισσότερα

Chapter 3: Ordinal Numbers

Chapter 3: Ordinal Numbers Chapter 3: Ordinal Numbers There are two kinds of number.. Ordinal numbers (0th), st, 2nd, 3rd, 4th, 5th,..., ω, ω +,... ω2, ω2+,... ω 2... answers to the question What position is... in a sequence? What

Διαβάστε περισσότερα

Matrices and Determinants

Matrices and Determinants Matrices and Determinants SUBJECTIVE PROBLEMS: Q 1. For what value of k do the following system of equations possess a non-trivial (i.e., not all zero) solution over the set of rationals Q? x + ky + 3z

Διαβάστε περισσότερα

Nuclear Physics 5. Name: Date: 8 (1)

Nuclear Physics 5. Name: Date: 8 (1) Name: Date: Nuclear Physics 5. A sample of radioactive carbon-4 decays into a stable isotope of nitrogen. As the carbon-4 decays, the rate at which the amount of nitrogen is produced A. decreases linearly

Διαβάστε περισσότερα

The Simply Typed Lambda Calculus

The Simply Typed Lambda Calculus Type Inference Instead of writing type annotations, can we use an algorithm to infer what the type annotations should be? That depends on the type system. For simple type systems the answer is yes, and

Διαβάστε περισσότερα

Potential Dividers. 46 minutes. 46 marks. Page 1 of 11

Potential Dividers. 46 minutes. 46 marks. Page 1 of 11 Potential Dividers 46 minutes 46 marks Page 1 of 11 Q1. In the circuit shown in the figure below, the battery, of negligible internal resistance, has an emf of 30 V. The pd across the lamp is 6.0 V and

Διαβάστε περισσότερα

ΑΓΓΛΙΚΑ IV. Ενότητα 6: Analysis of Greece: Your Strategic Partner in Southeast Europe. Ιφιγένεια Μαχίλη Τμήμα Οικονομικών Επιστημών

ΑΓΓΛΙΚΑ IV. Ενότητα 6: Analysis of Greece: Your Strategic Partner in Southeast Europe. Ιφιγένεια Μαχίλη Τμήμα Οικονομικών Επιστημών Ενότητα 6: Analysis of Greece: Your Strategic Partner in Southeast Europe Ιφιγένεια Μαχίλη Άδειες Χρήσης Το παρόν εκπαιδευτικό υλικό υπόκειται σε άδειες χρήσης Creative Commons. Για εκπαιδευτικό υλικό,

Διαβάστε περισσότερα

Code Breaker. TEACHER s NOTES

Code Breaker. TEACHER s NOTES TEACHER s NOTES Time: 50 minutes Learning Outcomes: To relate the genetic code to the assembly of proteins To summarize factors that lead to different types of mutations To distinguish among positive,

Διαβάστε περισσότερα

Inverse trigonometric functions & General Solution of Trigonometric Equations. ------------------ ----------------------------- -----------------

Inverse trigonometric functions & General Solution of Trigonometric Equations. ------------------ ----------------------------- ----------------- Inverse trigonometric functions & General Solution of Trigonometric Equations. 1. Sin ( ) = a) b) c) d) Ans b. Solution : Method 1. Ans a: 17 > 1 a) is rejected. w.k.t Sin ( sin ) = d is rejected. If sin

Διαβάστε περισσότερα

ΔΗΜΟΚΡΙΤΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΡΑΚΗΣ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΑΓΩΓΗΣ

ΔΗΜΟΚΡΙΤΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΡΑΚΗΣ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΑΓΩΓΗΣ ΔΗΜΟΚΡΙΤΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΡΑΚΗΣ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΑΓΩΓΗΣ ΤΜΗΜΑ ΕΠΙΣΤΗΜΩΝ ΕΚΠΑΙΔΕΥΣΗΣ ΣΤΗΝ ΠΡΟΣΧΟΛΙΚΗ ΗΛΙΚΙΑ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ Διαπολιτισμική Εκπαίδευση και Θρησκευτική Ετερότητα: εθνικές και θρησκευτικές

Διαβάστε περισσότερα

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ανοικτά Ακαδημαϊκά Μαθήματα στο ΤΕΙ Ιονίων Νήσων ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ενότητα 7: More about gerunds Το περιεχόμενο του μαθήματος διατίθεται με άδεια Creative Commons

Διαβάστε περισσότερα

þÿ»±íº »¹ Áà  : É º±¹ Ä þÿ Á³ Ä Å : ¼¹± ºÁ¹Ä¹º ±À Ä ¼

þÿ»±íº »¹ Áà  : É º±¹ Ä þÿ Á³ Ä Å : ¼¹± ºÁ¹Ä¹º ±À Ä ¼ Neapolis University HEPHAESTUS Repository School of Health Sciences http://hephaestus.nup.ac.cy Master Degree Thesis 2015 þÿ»±íº »¹ Áà  : É º±¹ Ä þÿ Á³ Ä Å : ¼¹± ºÁ¹Ä¹º ±À Ä ¼ þÿ Ä Æ Á Â, Á ÃÄ Â þÿ Á̳Á±¼¼±

Διαβάστε περισσότερα

Notes on the Open Economy

Notes on the Open Economy Notes on the Open Econom Ben J. Heijdra Universit of Groningen April 24 Introduction In this note we stud the two-countr model of Table.4 in more detail. restated here for convenience. The model is Table.4.

Διαβάστε περισσότερα

ΠΑΝΔΠΗΣΖΜΗΟ ΠΑΣΡΩΝ ΣΜΖΜΑ ΖΛΔΚΣΡΟΛΟΓΩΝ ΜΖΥΑΝΗΚΩΝ ΚΑΗ ΣΔΥΝΟΛΟΓΗΑ ΤΠΟΛΟΓΗΣΩΝ ΣΟΜΔΑ ΤΣΖΜΑΣΩΝ ΖΛΔΚΣΡΗΚΖ ΔΝΔΡΓΔΗΑ

ΠΑΝΔΠΗΣΖΜΗΟ ΠΑΣΡΩΝ ΣΜΖΜΑ ΖΛΔΚΣΡΟΛΟΓΩΝ ΜΖΥΑΝΗΚΩΝ ΚΑΗ ΣΔΥΝΟΛΟΓΗΑ ΤΠΟΛΟΓΗΣΩΝ ΣΟΜΔΑ ΤΣΖΜΑΣΩΝ ΖΛΔΚΣΡΗΚΖ ΔΝΔΡΓΔΗΑ ΠΑΝΔΠΗΣΖΜΗΟ ΠΑΣΡΩΝ ΣΜΖΜΑ ΖΛΔΚΣΡΟΛΟΓΩΝ ΜΖΥΑΝΗΚΩΝ ΚΑΗ ΣΔΥΝΟΛΟΓΗΑ ΤΠΟΛΟΓΗΣΩΝ ΣΟΜΔΑ ΤΣΖΜΑΣΩΝ ΖΛΔΚΣΡΗΚΖ ΔΝΔΡΓΔΗΑ Γηπισκαηηθή Δξγαζία ηνπ Φνηηεηή ηνπ ηκήκαηνο Ζιεθηξνιόγσλ Μεραληθώλ θαη Σερλνινγίαο Ζιεθηξνληθώλ

Διαβάστε περισσότερα

Example of the Baum-Welch Algorithm

Example of the Baum-Welch Algorithm Example of the Baum-Welch Algorithm Larry Moss Q520, Spring 2008 1 Our corpus c We start with a very simple corpus. We take the set Y of unanalyzed words to be {ABBA, BAB}, and c to be given by c(abba)

Διαβάστε περισσότερα

forms This gives Remark 1. How to remember the above formulas: Substituting these into the equation we obtain with

forms This gives Remark 1. How to remember the above formulas: Substituting these into the equation we obtain with Week 03: C lassification of S econd- Order L inear Equations In last week s lectures we have illustrated how to obtain the general solutions of first order PDEs using the method of characteristics. We

Διαβάστε περισσότερα

3.4 Αζηίεξ ημζκςκζηήξ ακζζυηδηαξ ζημ ζπμθείμ... 64 3.4.1 Πανάβμκηεξ πνμέθεοζδξ ηδξ ημζκςκζηήξ ακζζυηδηαξ... 64 3.5 οιαμθή ηςκ εηπαζδεοηζηχκ ζηδκ

3.4 Αζηίεξ ημζκςκζηήξ ακζζυηδηαξ ζημ ζπμθείμ... 64 3.4.1 Πανάβμκηεξ πνμέθεοζδξ ηδξ ημζκςκζηήξ ακζζυηδηαξ... 64 3.5 οιαμθή ηςκ εηπαζδεοηζηχκ ζηδκ 2 Πεξηερόκελα Δονεηήνζμ πζκάηςκ... 4 Δονεηήνζμ δζαβναιιάηςκ... 5 Abstract... 6 Πενίθδρδ... 7 Δζζαβςβή... 8 ΘΔΩΡΗΣΙΚΟ ΜΔΡΟ... 12 Κεθάθαζμ 1: Θεςνδηζηέξ πνμζεββίζεζξ βζα ηδκ ακζζυηδηα ζηδκ εηπαίδεοζδ...

Διαβάστε περισσότερα

Econ 2110: Fall 2008 Suggested Solutions to Problem Set 8 questions or comments to Dan Fetter 1

Econ 2110: Fall 2008 Suggested Solutions to Problem Set 8  questions or comments to Dan Fetter 1 Eon : Fall 8 Suggested Solutions to Problem Set 8 Email questions or omments to Dan Fetter Problem. Let X be a salar with density f(x, θ) (θx + θ) [ x ] with θ. (a) Find the most powerful level α test

Διαβάστε περισσότερα

3.4 SUM AND DIFFERENCE FORMULAS. NOTE: cos(α+β) cos α + cos β cos(α-β) cos α -cos β

3.4 SUM AND DIFFERENCE FORMULAS. NOTE: cos(α+β) cos α + cos β cos(α-β) cos α -cos β 3.4 SUM AND DIFFERENCE FORMULAS Page Theorem cos(αβ cos α cos β -sin α cos(α-β cos α cos β sin α NOTE: cos(αβ cos α cos β cos(α-β cos α -cos β Proof of cos(α-β cos α cos β sin α Let s use a unit circle

Διαβάστε περισσότερα

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ανοικτά Ακαδημαϊκά Μαθήματα στο ΤΕΙ Ιονίων Νήσων ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ενότητα 1: Elements of Syntactic Structure Το περιεχόμενο του μαθήματος διατίθεται με άδεια

Διαβάστε περισσότερα

Problem Set 3: Solutions

Problem Set 3: Solutions CMPSCI 69GG Applied Information Theory Fall 006 Problem Set 3: Solutions. [Cover and Thomas 7.] a Define the following notation, C I p xx; Y max X; Y C I p xx; Ỹ max I X; Ỹ We would like to show that C

Διαβάστε περισσότερα

ΑΛΕΞΑΝΔΡΟΣ ΠΑΛΛΗΣ SCHOOLTIME E-BOOKS

ΑΛΕΞΑΝΔΡΟΣ ΠΑΛΛΗΣ SCHOOLTIME E-BOOKS ΟΜΗΡΟΥ ΙΛΙΑΔΑ ΑΛΕΞΑΝΔΡΟΣ ΠΑΛΛΗΣ SCHOOLTIME E-BOOKS www.scooltime.gr [- 2 -] The Project Gutenberg EBook of Iliad, by Homer This ebook is for the use of anyone anywhere at no cost and with almost no restrictions

Διαβάστε περισσότερα

Adjectives. Describing the Qualities of Things. A lesson for the Paideia web-app Ian W. Scott, 2015

Adjectives. Describing the Qualities of Things. A lesson for the Paideia web-app Ian W. Scott, 2015 Adjectives Describing the Qualities of Things A lesson for the Paideia web-app Ian W. Scott, 2015 Getting Started with Adjectives It's hard to say much using only nouns and pronouns Simon is a father.

Διαβάστε περισσότερα

Statistical Inference I Locally most powerful tests

Statistical Inference I Locally most powerful tests Statistical Inference I Locally most powerful tests Shirsendu Mukherjee Department of Statistics, Asutosh College, Kolkata, India. shirsendu st@yahoo.co.in So far we have treated the testing of one-sided

Διαβάστε περισσότερα

ΑΓΓΛΙΚΑ Ι. Ενότητα 7α: Impact of the Internet on Economic Education. Ζωή Κανταρίδου Τμήμα Εφαρμοσμένης Πληροφορικής

ΑΓΓΛΙΚΑ Ι. Ενότητα 7α: Impact of the Internet on Economic Education. Ζωή Κανταρίδου Τμήμα Εφαρμοσμένης Πληροφορικής Ενότητα 7α: Impact of the Internet on Economic Education Τμήμα Εφαρμοσμένης Πληροφορικής Άδειες Χρήσης Το παρόν εκπαιδευτικό υλικό υπόκειται σε άδειες χρήσης Creative Commons. Για εκπαιδευτικό υλικό, όπως

Διαβάστε περισσότερα

Συστήματα Διαχείρισης Βάσεων Δεδομένων

Συστήματα Διαχείρισης Βάσεων Δεδομένων ΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΡΗΤΗΣ Συστήματα Διαχείρισης Βάσεων Δεδομένων Φροντιστήριο 9: Transactions - part 1 Δημήτρης Πλεξουσάκης Τμήμα Επιστήμης Υπολογιστών Tutorial on Undo, Redo and Undo/Redo

Διαβάστε περισσότερα

Lecture 2: Dirac notation and a review of linear algebra Read Sakurai chapter 1, Baym chatper 3

Lecture 2: Dirac notation and a review of linear algebra Read Sakurai chapter 1, Baym chatper 3 Lecture 2: Dirac notation and a review of linear algebra Read Sakurai chapter 1, Baym chatper 3 1 State vector space and the dual space Space of wavefunctions The space of wavefunctions is the set of all

Διαβάστε περισσότερα

Paper Reference. Paper Reference(s) 1776/04 Edexcel GCSE Modern Greek Paper 4 Writing. Thursday 21 May 2009 Afternoon Time: 1 hour 15 minutes

Paper Reference. Paper Reference(s) 1776/04 Edexcel GCSE Modern Greek Paper 4 Writing. Thursday 21 May 2009 Afternoon Time: 1 hour 15 minutes Centre No. Candidate No. Paper Reference(s) 1776/04 Edexcel GCSE Modern Greek Paper 4 Writing Thursday 21 May 2009 Afternoon Time: 1 hour 15 minutes Materials required for examination Nil Paper Reference

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ. Πτυχιακή Εργασία

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ. Πτυχιακή Εργασία ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ Πτυχιακή Εργασία ΣΤΑΣΕΙΣ ΚΑΙ ΓΝΩΣΕΙΣ ΤΩΝ ΝΟΣΗΛΕΥΤΩΝ ΓΙΑ ΤΟΝ ΕΓΚΕΦΑΛΙΚΟ ΘΑΝΑΤΟ ΚΑΙ ΤΗ ΔΩΡΕΑ ΟΡΓΑΝΩΝ Μαρία Χάννα Λεμεσός 2012 ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ

Διαβάστε περισσότερα

ST5224: Advanced Statistical Theory II

ST5224: Advanced Statistical Theory II ST5224: Advanced Statistical Theory II 2014/2015: Semester II Tutorial 7 1. Let X be a sample from a population P and consider testing hypotheses H 0 : P = P 0 versus H 1 : P = P 1, where P j is a known

Διαβάστε περισσότερα

ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ "ΠΟΛΥΚΡΙΤΗΡΙΑ ΣΥΣΤΗΜΑΤΑ ΛΗΨΗΣ ΑΠΟΦΑΣΕΩΝ. Η ΠΕΡΙΠΤΩΣΗ ΤΗΣ ΕΠΙΛΟΓΗΣ ΑΣΦΑΛΙΣΤΗΡΙΟΥ ΣΥΜΒΟΛΑΙΟΥ ΥΓΕΙΑΣ "

ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΠΟΛΥΚΡΙΤΗΡΙΑ ΣΥΣΤΗΜΑΤΑ ΛΗΨΗΣ ΑΠΟΦΑΣΕΩΝ. Η ΠΕΡΙΠΤΩΣΗ ΤΗΣ ΕΠΙΛΟΓΗΣ ΑΣΦΑΛΙΣΤΗΡΙΟΥ ΣΥΜΒΟΛΑΙΟΥ ΥΓΕΙΑΣ ΤΕΧΝΟΛΟΓΙΚΟ ΕΚΠΑΙΔΕΥΤΙΚΟ ΙΔΡΥΜΑ ΚΑΛΑΜΑΤΑΣ ΣΧΟΛΗ ΔΙΟΙΚΗΣΗΣ ΟΙΚΟΝΟΜΙΑΣ ΤΜΗΜΑ ΜΟΝΑΔΩΝ ΥΓΕΙΑΣ ΚΑΙ ΠΡΟΝΟΙΑΣ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ "ΠΟΛΥΚΡΙΤΗΡΙΑ ΣΥΣΤΗΜΑΤΑ ΛΗΨΗΣ ΑΠΟΦΑΣΕΩΝ. Η ΠΕΡΙΠΤΩΣΗ ΤΗΣ ΕΠΙΛΟΓΗΣ ΑΣΦΑΛΙΣΤΗΡΙΟΥ ΣΥΜΒΟΛΑΙΟΥ

Διαβάστε περισσότερα

Κατανοώντας και στηρίζοντας τα παιδιά που πενθούν στο σχολικό πλαίσιο

Κατανοώντας και στηρίζοντας τα παιδιά που πενθούν στο σχολικό πλαίσιο Κατανοώντας και στηρίζοντας τα παιδιά που πενθούν στο σχολικό πλαίσιο Δρ. Παναγιώτης Πεντάρης - University of Greenwich - Association for the Study of Death and Society (ASDS) Περιεχόµενα Εννοιολογικές

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΕΚΠΑΙ ΕΥΤΙΚΟ Ι ΡΥΜΑ ΚΡΗΤΗΣ ΣΧΟΛΗ ΙΟΙΚΗΣΗΣ ΚΑΙ ΟΙΚΟΝΟΜΙΑΣ ΤΜΗΜΑ ΙΟΙΚΗΣΗΣ ΕΠΙΧΕΙΡΗΣΕΩΝ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ

ΤΕΧΝΟΛΟΓΙΚΟ ΕΚΠΑΙ ΕΥΤΙΚΟ Ι ΡΥΜΑ ΚΡΗΤΗΣ ΣΧΟΛΗ ΙΟΙΚΗΣΗΣ ΚΑΙ ΟΙΚΟΝΟΜΙΑΣ ΤΜΗΜΑ ΙΟΙΚΗΣΗΣ ΕΠΙΧΕΙΡΗΣΕΩΝ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΤΕΧΝΟΛΟΓΙΚΟ ΕΚΠΑΙ ΕΥΤΙΚΟ Ι ΡΥΜΑ ΚΡΗΤΗΣ ΣΧΟΛΗ ΙΟΙΚΗΣΗΣ ΚΑΙ ΟΙΚΟΝΟΜΙΑΣ ΤΜΗΜΑ ΙΟΙΚΗΣΗΣ ΕΠΙΧΕΙΡΗΣΕΩΝ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ Το franchising ( δικαιόχρηση ) ως µέθοδος ανάπτυξης των επιχειρήσεων λιανικού εµπορίου

Διαβάστε περισσότερα

Περίληψη (Executive Summary)

Περίληψη (Executive Summary) 1 Περίληψη (Executive Summary) Η παρούσα διπλωματική εργασία έχει ως αντικείμενο την "Αγοραστική/ καταναλωτική συμπεριφορά. Η περίπτωση των Σπετσών" Κύριος σκοπός της διπλωματικής εργασίας είναι η διερεύνηση

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ Πτυχιακή Εργασία "Η ΣΗΜΑΝΤΙΚΟΤΗΤΑ ΤΟΥ ΜΗΤΡΙΚΟΥ ΘΗΛΑΣΜΟΥ ΣΤΗ ΠΡΟΛΗΨΗ ΤΗΣ ΠΑΙΔΙΚΗΣ ΠΑΧΥΣΑΡΚΙΑΣ" Ειρήνη Σωτηρίου Λεμεσός 2014 ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ

Διαβάστε περισσότερα