DiVA.

Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download "DiVA. http://uu.diva-portal.org"

Transcript

1 DiVA * This is an author produced version of a paper published in Symbolae Osloenses. This paper has been peer-reviewed but does not include the final publisher proof-corrections or journal pagination. Citation for the published paper: Searby, Denis M. Non-Lucian Sources for Demonax with a new collection of fragments Symbolae Osloenses, 2008, Vol. 83, Issue 1: URL: Access to the published version may require subscription.

2 Non-Lucian Sources for Demonax with a new collection of fragments 1 Denis M. Searby (Uppsala University / Stockholm University) Practically everything we can be said to know about Demonax comes from the so-called Vita Demonactis attributed to Lucian. 2 The historicity of Lucian s account has often been questioned, although most scholars today would agree with K. Funk s arguments for historicity in his study of the Vita published in Yet, there still exists some understandable scepticism in this regard. Diskin Clay, for example, makes the following noncommittal statement in a fairly recent article: My purpose in this treatment of Lucian s Demonax is not to mount an argument against the historicity of the great Athenian philosopher. In the course of this discussion it will become apparent that I would not add the name of Demonax to the history of philosophy in the second century AD, nor would I remove it from the histories already written. 4 Noting that both K. Funk and C. P. Jones discovered autobiographical features in the work, Clay goes on to ask, If Demonax is a kind of indirect autobigraphy (Jones words), we are entitled to ask if it still remains a biography. 5 Earlier in his essay, Clay states: Some of the fifty-five apophthegms Lucian records to fill out his life of the philosopher are known from other sources. The sayings of Demonax belong to a fluid 1 This article is based on a paper I delivered at the Hellenism in Cyprus Conference Sept , I am grateful to Prof. Ioannis Taifakos for suggesting this topic to me and for inviting me to such an excellent conference. I am also thankful toward the conference participants who patiently listened to my paper and made suggestions. I would especially thank Prof. Bracht Branham for a rewarding conversation and Prof. Martin L. West for the improvements he suggested in my translations. 2 The text may be found in Luciani opera, vol. 1, ed. M. D. MACLEOD, Oxford 1972 (Clarendon Press), or Lucianus vol. 1, fasc. I ed. N. NILÉN, Teubner/Leipzig K. FUNK, Untersuchungen über die lucianische Vita Demonactis, Philologus Supplementband 10 (1907) See page 3426 in D. CLAY, Lucian of Samosata: Four Philosophical Lives (Nigrinus, Demonax, Peregrinus, Alexander Pseudomantis) in Aufstieg und Niedergang der Römischen Welt (ANRW) II 36.5 (1992) Other works relevant to Demonax and not cited elsewhere in these notes are the following: H. von ARNIM, Demonax in Realencyclopädie der classischen Altertumswissenschaft 5 (1905) ; R. Bracht BRANHAM, Authorizing Humor: Lucian s Demonax and Cynic Rhetoric Semeia 64 (1994), co-author with M-O. GOULET- CAZÉ of The Cynics: The Cynic Movement in Antiquity and Its Legacy (University of California Press 1996); H. CANCIK, Bios und Logos. Formengeschichtliche Untersuchungen zu Lukians Leben des Demonax pp in Markus-Philologie; historische, literargeschichtliche und stilistische Untersuchungen zum 2. Evangelium, Tübingen (Mohr) 1984 (Wiss. Unters. zum N.T. XXXIII); FRANCIS, J. A., Subversive Virtue: Asceticism and Authority in the Second-Century Pagan World, University Park PA, Pennsylvania State University Press 1995; GOULET-CAZÉ, M-O, Démonax de Chypre in Dictionnaire des Philosophes Anciennes (ed. R. GOULET), vol. 2 Paris 1994, pp (no. 74), Demonax von Kypros, Der Neue Pauly 3 (1997) , Le cynisme à l époque impériale, ANRW II 36.4 (1990) ; G. LUCK, Die Weisheit der Hunde. Texte der antiken Kyniker in deutscher Übersetzung mit Erläuterungen. Albert Kröner Verlag, Stuttgart 1997, pp. 377 ff.; R. SOTO RIVERA, De Parménides a Demonacte: hilos de una urdimbre textual para una nueva historia de la filosofía. Bayamón (Puerto Rico) 1999; S. ZETOWSKI, Demonax-Krates Minerva (1922) D. CLAY ANRW II.36.5 (1992) The references are to C. P. JONES, Culture and Society in Lucian, Cambridge/London 1986, p. 98; K. FUNK, Philologus Supplementband 10 (1907), pp. 648 and 672. On Xenophonic models for the Vita Demonactis, noted by Clay and other scholars, see now also O. OVERWIEN, Zwei literarisch-philosophische Vorbilder für Lukian und seinen «Demonax» Gymnasium 110 (2003) On the related topic of the genre of memorabilia, see E. KÖPKE, Ueber die Gattung der Ἀπομνημονεύματα in der griechischen Litteratur. [Programm der Ritter-Akademie zu Brandenburg] (1957) 1-30.

3 and confused tradition of apophthegms and χρεῖαι attributed to the great with no great respect for either originality or paternity. 6 While fully acknowledging that there exists a good deal of confusing fluidity in what I call the Greek gnomological tradition, I would like to present here a more reliable list of non-lucian fragments 7 of Demonax than has previously been available. Although their content may not be particularly remarkable, I would argue that they at least have a bearing on the question of the historicity of Demonax. There are two immediately striking things about these sayings: first of all, that they exist at all, and second, that they are completely independent of the sayings attributed to Demonax by Lucian. With regard to the first point, I would argue that their very existence tends to corroborate Lucian s story. The name Demonax is not common in Greek literature. Apart from the Demonax in Lucian, there are only a few occurrences of the name in other writers from Theognis and Herodotus down to Plutarch and the Greek Anthology. 8 However, we know of no other philosopher or sophist by this name apart from Lucian s Demonax and the Demonax in non-lucian collections of sayings, and I see no cogent reason against identifying the two. With regard to the second point, the total lack of correspondence between the Lucian and the non-lucian sayings may seem problematic to some. On the other hand, there are examples of such a lack of correspondence between sayings and anecdotes attributed to certifiably historical individuals in normal literary sources and those found strictly in gnomological sources, such as, for example, the sayings of Aristotle. 9 Moreover, one must take into account the different nature of each source. The kind of witicisms recorded by Lucian, often with references to specific persons and circumstances, are generally of a different kind than those found in the more sober and moralizing gnomological sources of Late Antiquity and the Middle Ages. There are, for example, no sexual innuendos in the latter sources as are found in Demonax s sayings in Lucian. Whatever Lucian s purpose was in composing his Demonax, it was probably not the same as that of the compilers of collections of useful maxims and sayings. The very fact that these sayings derive from a source or sources wholly independent of Lucian argues for independent knowledge of Demonax historical existence. The Greek gnomologies encompass a tradition going back at least to Hellenistic times and probably earlier and continuing down to and throughout the Middle Ages. I use the expression gnomological tradition as an aggregate term for the tradition of assembling maxims and sayings of well known persons or character types in collections normally arranged either alphabetically by author s name or initial word or in thematic chapters. 6 D. CLAY ANRW II.36.5 (1992) I would note that the formula used by Lucian to introduce the apophthegms is similar to certain formulas used by Diogenes Laertius. Compare Lucian s words, Βούλομαι δὲ ἔνια παραθέσθαι τῶν εὐστόχως τε ἅμα καὶ ἀστείως ὑπ αὐτοῦ λελεγμένων, (Vita Demonactis 12) with Diogenes Laertius 4.47 (πλεῖστά τε καταλέλοιπεν ὑπομνήματα ἀλλὰ καὶ ἀποφθέγματα χρειώδη πραγματείαν περιέχοντα), 5.34 (πολλὰ γὰρ καὶ ἄλλα εἰς αὐτὸν ἀναφέρεται συγγράμματ αὐτοῦ καὶ ἀποφθέγματα, ἀγράφου φωνῆς εὐστοχήματα) and other like passages. (Text of Diogenes Laertius taken from the Oxford Classical Texts edition by Long). 7 In quotation marks because I regard a fragment as coming from a written work, whereas apophthegms and similar material are closer to the oral tradition. It is better simply to regard these sayings as testimonia of some kind. 8 Theognis, Elegiae 1085; Herodotus, Historiae ; Plutarch, Vita Luculli 9.6; Diodorus Siculus, Bibliotheca Historica ; Anthologia Graeca (epigram of Nicarchus). Subsequent references refer either to the Demonax in Lucian or in Herodotus. Andreas Schatzmann, who is currently working on a commentary of the epigrams of Nicarchus, informs me that, despite the name s infrequent occurrence in literature, the documentary evidence in the papyri shows it to have been not uncommon in the Mediterranean area. 9 On this, cf. my dissertation, D. SEARBY, Aristotle in the Greek Gnomological Tradition, Uppsala 1998, especially p The anecdotes and sayings of Aristotle in the strictly biographical tradition do not show up in the gnomological tradition going under his name.

4 Gnomologies (gnomologia) contain normally only gnomic sayings (i.e. γνῶμαι or maxims or sententiae) and brief anecdotes (ἀποφθέγματα or χρεῖαι); anthologies (florilegia) are more comprehensive and contain choice passages of one or more authors and sometimes also sayings material. 10 The material for Demonax in such sources has previously been collected three times as far as I know: first by Mullach in Fragmenta Philosophorum Graecorum 11, later more completely by Fritzsche 12 and finally by Funk. These scholars do not seem to have carried out much source analysis but simply included any sayings they came across associated with the name of Demonax. The most comprehensive of these collections of so-called fragments is that assembled by Funk. However, not even Funk seems to have made use or perhaps even been aware of the latest research on the gnomological sources available at the time in which he wrote, and therefore gave far too much importance to very inferior sources such as the Melissa of Antonius as well as other sacro-profane florilegia which were already in 1907 known to have derived from an earlier, extant source. Funk also gave little thought to the ease with which marginal lemmas indicating authorship get misplaced in the manuscripts or are simply misinterpreted by the reader, nor to how often sayings beginning with the standard formula ὁ αὐτὸς wind up under the wrong name due to omissions. Today we are in a position to do much better than Funk, Fritzsche and Mullach. The earliest source for Demonax after Lucian is the anthology attributed to John of Stobi, who is generally assumed to have flourished in the fifth century. 13 The work of Stobaeus represents the only major pagan thematic anthology to have come down to us more or less intact, despite the complete loss of a considerable number of its many chapters. This invaluable collection is the end result of a long anthological tradition, building on the work of many predecessors, a number of whom are mentioned as sources in the lemmas of the excerpts. It contains both poetry and prose, literary quotations as well as sayings material. Stobaeus was destined to exercise enormous influence on the subsequent history of Greek anthologizing. The edition by Wachsmuth and Hense represents by far the best reconstruction of the arrangement of the original work. There are four excerpts involving Demonax (nos. 1-4 below), two of them apophthegms reflecting themes particularly typical of the Socratic schools (nos. 1 and 3), two of them maxims (nos. 2 and 4), one of which appears to be a gnomic verse (no. 4). This latter has close parallels in the Aesopica (see note ad locum) as well as in the tradition of the monostichoi going under Menander s name, which also turns out to be the case of no. 5 found in a later source. The other gnomic saying from Stobaeus (no. 2) bears the curious heading Δημώνακτος Ὑψαίου καὶ Σωκράτους, 14 and the maxim in question occurs several times in other later sources, generally under the name of Democritus. Nearly the same words are also found in Iamblich s Protrepticus. The curious three-author lemma in Stobaeus implies that the source was a collection of maxims connected somehow with at least 10 On the terminological distinctions, see D. SEARBY Aristotle 13-22, and O. OVERWIEN, Die Sprüche des Kynikers Diogenes in der griechischen und arabischen Überlieferung, Franz Steiner Verlag, Stuttgart (2005) For more generally accessible treatments, one can simply turn to the authors of the progymnasmata on the basic distinction between gnome (maxim, sententia) and chreia (apophthegm); see, for one example, Aelius Theon p. 96 ff. (ed. L. Spengel, Rhetores Graeci, vol. 2. Leipzig: Teubner, 1854; repr. Frankfurt am Main: Minerva, 1966, ); cf. also Aristotle, Rhetorica 1394a 19 ff. (περὶ γνωμολογίας). 11 F. W. A. MULLACH, Fragmenta philosophorum Graecorum (ed. Didot), vol. 2 Paris (1867, repr. Aalen 1968) P. V. FRITZSCHE, De Fragmentis Demonactis Philosophi [Universitäts-Programm] Rostock 1866; see also his incomplete edition Lucianus (Rostock 1882) II, 1,188; III,2, XI ff. On Mullach s collection, see A. ELTER, Γνωμικὰ ὁμοιώματα des Socrates, Plutarch, Demophilus, Demonax, Aristonymus u.a. I [Universitäts- Programm] = Gnomica Homoeomata, Bonn (1900) col. 175 (a characteristically harsh treatment); on Fritzsche, see ibidem col On Stobaeus, cf. H. GÄRTNER, Stobaios, Der Kleine Pauly 5 (1975), coll On this title, see A. ELTER Gnomica Homoeomata cols

5 these three authors. We find a very similar phenomenon in the case of the later gnomology entitled simply Democritus-Isocrates-Epictetus, which, by the way, contains the same maxim. The saying belongs under the name of Democritus in the homoeomata tradition reconstructed by Elter and considered by him to stem originally from the collection of the Hellenistic writer and philosopher Aristo of Chios. The next major non-lucian source for sayings of Demonax is the Corpus Parisinum (CP), a large gnomological collection named for the principal manuscript, codex Parisinus graecus 1168, the only complete manuscript known to Elter and the other scholars of his day. Subsequently, a second complete and independent manuscript was discovered in codex Bodleianus Digby There are also a few other related manuscripts, most notably codex Parisinus supplementum graecum 690. The crucial fact about the Corpus Parisinum in the present context is that it served as the major source for the Loci Communes falsely ascribed to Maximus the Confessor and, hence, for the sacro-profane florilegia deriving from pseudo-maximus. It thus takes precedence over these sources. The Corpus Parisinum is basically a collation of earlier gnomologies. It contains a large section devoted to Judaeo-Christian excerpts, a brief series of Hermetic oracles, and, then, a long section containing maxims and apophthegms as well as some literary excerpts, followed by a substantial block of excerpts from Stobaeus, then a depleted version of the aforementioned Gnomologium Byzantinum of selections from Democritus-Isocrates-Epictetus and other philosophers, and then a substantial alphabetically arranged gnomology primarily related to the so-called Gnomologium Vaticanum. It is important for our context to note that the basic arrangement of the first series of profane selections proceeds by name of author. The compiler first lists maxims and similes associated with the particular author and then adds anecdotes associated with the same author, usually introducing them with the lemma τοῦ αὐτοῦ ἀποφθέγματα. 16 This arrangement can be clearly seen in Demonax sayings five to twenty-one below. It is important to note that the compiler had a number of sources at his disposal in compiling these brief gnomologies for each particular author. Among them, of course, are the very collections that appear in depleted recensions in the rest of the Corpus Parisinum. Thus we find excerpts from Stobaeus, Gnomologium Byzantinum and the Gnomologium Vaticanum tradition in this first series of pagan sayings. However, our compiler also made use of other sources, such as the aforementioned tradition of homoeomata. In fact Anton Elter regarded the Demonax gnomology as evidence for the existence not of a special collection of Demonax sayings but a collection comparable in size to the source of the Socratic homoeomata in Stobaeus, that is, a general collection going by the name of Demonax rather than Socrates or Plutarch or Demophilus as in certain other sources. 17 Although I agree in general with Elter s analysis, I am somewhat sceptical about 15 On the Corpus Parisinum, see D. SEARBY, Corpus Parisinum (cf. list of Fontes below); on Demonax, see vol. 2, p. 626 f. See also: S. IHM, Ps.-Maximus Confessor: Erste kritische Edition einer Redaktion des sacroprofanen Florilegiums Loci communes (Palingenesia LXXIII) Franz Steiner Verlag, Stuttgart (2001) vii-x; and J. GERLACH, Gnomica Democritea. Studien zur gnomologischen Überlieferung der Ethik Demokrits und zum Corpus Parisinum [Serta Graeca. Beiträge zur Erforschung griechischer Texte] Wiesbaden Gerlach disagrees with certain aspects of my views about the development and constitution of the Corpus Parisinum, but this poses no difficulties for the present edition of the sayings of Demonax. 16 It is worth noting that the scribes of our three most important witnesses for this part of Corpus Parisinum do not know the proper genitive form for Demonax, although some of the mss. of Maximus get it right. I should moreover note that a lemma for Menander is missing in the Parisian ms. (not in the others) so that the short series of Menanders sayings, which follow on Demonax, appear in that ms. to be ascribed to Demonax, a fact noted by H. SCHENKL p. 473 in Die epiktetischen Fragmente. Eine Untersuchung zur Ueberlieferungsgeschichte der griechischen Florilegien, Sitzungsberichte der phil.-hist. Classe der Kaiserlichen Akademie der Wissenschaften zu Wien, 115 (1888). It is perhaps significant that Menander is placed right after Demonax in this collection: might this be an indication of their proximity in a much older collection? 17 See A. ELTER Gnomica Homoeomata, especially cols. 45 and 175.

6 the latter claim. As corroborating evidence, Elter cites the three-author lemma mentioned earlier as well as the parallels of sayings of Demonax in the other branches of the homoeomata tradition. Little is clear in such muddy waters, but it seems to me important to underline the fact that there are only seven of the Demonax sayings in Corpus Parisinum made it into Elter s Gnomica homoeomata, so we can assume that the rest came from other traditions. We can at least assume that one of those traditions is Stobaeus, since the first saying occurs in both. Moreover, on the reasonable assumption that Stobaeus was a source for part of this collection, the exact parallel to Corpus Parisinum (my numbering) as found in Stobaeus, where it is attributed to Antiphon and offers a more complete text, seems to me evidence enough to make it the first of our rejected sayings (A). 18 Likewise, the fact that the Corpus Parisinum was the principal source for pseudo-maximus and related florilegia means that we must place priority on its evidence. Thus we can easily discard sayings (B) and (C) below from Funk s list of fragments. And, on the same principle, we can add two new sayings (nos. 10 and 15). An analysis of the contents of the Demonax sayings does not fall within the scope of this paper. However, looking at the sayings from Corpus Parisinum, I would again note that some of them are indeed similes and are included in Elter s collection, whether we regard them as intentionally attributed to Demonax as their author or perhaps even their collector or simply as erroneously accruing to him. The first saying (no. 5) recurs among the gnomes of Menander. In passing, I might note that Gregory of Nazianz seems to be playing with this saying in epistola 190.6, when he writes: ὅτι ἃ κολάζουσι κρίνοντες, ταῦτα ἐπαινοῦσιν ἀκροώμενοι. There is also a minor parallel for n. 9 from the same time, in one of Libanius letters (epistola 37.4): τοὺς μὲν γὰρ ἄλλους ἀλλοτρίοις παραδείγμασι παιδεύομεν, σὺ δὲ ἂν τοῖς σοῖς ἀκολουθήσῃς, πάνθ ἡμῖν εὖ κείσεται. In no. 13, we have a typical image of the ignorant like mute fish being easily caught. 19 Some emendment may be necessary in no. 21, for example, the insertion of οὗτοι before γίνονται, in order not to strain the meaning of the final two adjectives. 20 Our next source, Appendix Vaticana I, is the first of two series of sayings found in codex Vaticanus Graecus 1144 (on ff. 215v-225v) which were edited by Leo Sternbach. He published this series of 371 sayings as though it were a single collection. The first 120 sayings, however, belong to the tradition of Gnomologium Vaticanum, whereas nos represent one of the main sources for Elter s Gnomica Homoeomata. The sayings in-between, nos , are a strange mixture, the first fifteen or so of them having parallels in Gnomologium Byanzantinum and Corpus Parisinum, among others. The remainder seem to be quotations that stem from, among other sources, collections of scholia and similar kinds of reference works. There is a close relationship between Appendix Vaticana I nos and a 18 In rejecting certain sayings, I am not claiming authenticity for the others attributed to Demonax. The rejection of sayings is based here on overall manuscript evidence. If the attribution to Demonax is stable within the relevant tradition, it is included among the sayings of Demonax; if the attribution can easily be seen to be caused by scribal error and the like, it gets rejected, provided a better alternative attribution exists within the same tradition. 19 On this image, see I. M. KONSTANTAKOS, Riddles, Philosophers and Fishes: Aesop and the θαλάσσιον πρόβατον, Eranos 101 (2003) I am grateful to Prof. Eva-Carin Gerö (Stockholm) for this reference. 20 There are a few, somewhat distant parallels for this saying, such as the saying attributed to Plato in Gnomologium Vaticanum 424 (Πλάτων πλείονα ἔφη ὑπὸ τῶν ἐχθρῶν ὠφελεῖσθαι [μᾶλλον] ἢ ὑπὸ τῶν φίλων τοὺς μὲν γὰρ ἐχθροὺς ἁμαρτάνοντι ὀνειδίζοντας δηλοῦν, τοὺς δὲ φίλους πρὸς χάριν λέγοντας εἰς προτροπὴν τῶν κακῶν ἄγειν καὶ πρὸς τὸ ἐξαμαρτάνειν ἕτοιμον ποιεῖν) and more briefly in Appendix Vaticana I.107. On the same theme, see also Plutarch, De capienda ex inimicis utilitate 89B (ὅθεν ὀρθῶς ὁ Ἀντισθένης εἶπεν ὅτι τοῖς μέλλουσι σῴζεσθαι φίλων δεῖ γνησίων ἢ διαπύρων ἐχθρῶν οἱ μὲν γὰρ νουθετοῦντες τοὺς ἁμαρτάνοντας οἱ δὲ λοιδοροῦντες ἀποτρέπουσι). and even Aristophanes Aves 375 ff. On the Plato saying, see K.-H. STANZEL, Dicta Platonica. Die unter Platons Namen überliefertuen Aussprüche, diss. Würzburg/Darmstadt (1987)

7 series of sayings appearing in Codex Neapolitanus graecus II D 22 edited by Sbordone. This latter source is, however, not a gnomology at all, but a text that makes use of a gnomology for the educational purposes. Among other things, the writer in cod. N provides synonyms for words appearing in the sayings. The close relationship between these two sources is easy to see in Demonax sayings 22 to 25 from Appendix Vaticana, three of which are also found in cod. N, none of which have any exact parallels elsewhere that I have been able to locate. We can see how no. 23 gets mistakenly placed under the name of Darius in cod. N, which is a good example of how the formulaic beginning ὁ αὐτὸς leads to confusion when taken out of context. Though these sayings are found in manuscripts from the 15th century, they derive from a tradition going back to the time of Diogenes Laertius or earlier. 21 These should, therefore, be added to our list of non-lucian sayings, given that there are no other strong contenders for authorship. No. 22 is characteristic enough of a Cynic philosopher, although I am not sure about the intended meaning of διαίρεσις is it playing on the grammatical, metrical, logical, medical or some other sense of the word? Sbordone thinks there is an ellipse in saying no. 24 and boldly suggests an emendment. I think he just misunderstood the meaning of τοὺς ἐν ὑπεροχῇ. The writer in cod. N seems to have had no problem with the phrase. According to his usual practice, he merely suggests some synonyms (δόξαζε for τίμα, μὴ ἐκπλήττου for μὴ θαύμαζε) and then paraphrases the last part as τὸ τιμᾶν δίκαιον, τὸ ἐπλήττεσθαι ταπεινόν. Both this saying also fits in well with the Cynic character. Finally, no. 25 offers a standard sentiment that at least agrees with Lucian s portrait of Demonax as prizing friendship. Standard sentiment is also on display in no. 26, the only saying I have retained from the strictly sacro-profane florilegia. The reason for its inclusion is the complete support it enjoys in these florilegia, coupled with its absence from the Corpus Parisinum as we have it today. Its absence is perhaps due either to a simple omission in the extant versions of the corpus or to an interpolation from an independent source. The remaining sayings from the sacro-profane florilegia can be easily discarded by comparing the different sources. Since these sacro-profane sources were so important for the previous collections of the sayings of Demonax, some explanation is necessary. For centuries scholars had to make do with extremely inadequate editions of the Loci Communes falsely ascribed to Maximus the Confessor. It was edited first by Gesner in 1546, then by Combefis in The latter is the edition reprinted in Migne s Patrologia Graeca. 22 We are fortunate in possessing Sibylle Ihm s modern critical edition of this widely disseminated thematic sacro-profane florilegium. Before her edition, scholars had either to turn to the edition in PG or to editions of single mss. or to the mss. themselves. 23 Ihm s edition must now become the standard point of reference until its eventual replacement. There are three branches of the Maximus-tradition, which Ihm terms MaxI, MaxII and MaxU. MaxI is represented in ca seventy mss. as well as in the edition in Migne (vol. 91). The second recension, MaxII, extant in ten mss., appears to be an expanded version of MaxI due to the 21 There exist a number of unedited mss. containing longer or shorter gnomologies. I have looked through some of them for sayings of Demonax without finding any ones not already included (e.g. cod. Ottob. gr. 192). There are certainly other unedited mss. containing sayings material of which I am ignorant, some of which may contain parallels to Demonax sayings or others. 22 There is no need to go into the details of how these editions came about. See S. IHM Ps.-Maximus, pp. C-CII; D. GUTAS, Greek Wisdom Literature in Arabic Translation [American Oriental Society Series 60] New Haven CT 1975, pp Coincidently, Sargologos published an edition of Ps.-Maximus (MaxI) the very same year in which Ihm s edition came out. However, his edition has proven extremely difficult to order either from any library or from the publishers themselves. E. Amato s review of it can at present be found online at the following address: Dr. Amato was kind enough to lend me his copy of the book for my edition of the Corpus Parisinum, but I have made use only of Ihm for the purposes of this article.

8 large number of additional excerpts drawn from a handful of sources, among them Plutarch, Diodorus Siculus, Dio Cassius and certain Church Fathers. It was long thought that MaxII simply derives from MaxI, but Ihm argues convincingly that there existed an Ur-Max of which both MaxI and MaxII represent independent versions. The U in MaxU, the third and least disseminated recension, stands for Umstellung, so-called because it is an abridged version of MaxII in which the sequence of chapters has been transposed for much of the collection. 24 Curiously, Ihm has produced an edition of this latter branch, which is the least relevant of the three. However, she uses three of the best mss. of MaxI along with the five best mss. of MaxII in order to provide comprehensive information about these other two branches in the critical apparatus. She also includes the selections from MaxI and MaxII not found in MaxU. A glance at her edition suffices in order to be able to purge several sayings from Funk s earlier collection (e.g. rejected sayings D, E, K). The Melissa of Antonius (Ant.Mel.) is a thematically arranged sacro-profane florilegium similar to ps.-maximus. It was edited three times by Gesner (1546, 1555, 1560) along with a Latin translation. The only easily available edition is in Patrologia Graeca 136, This edition merely reproduces the earlier Latin translation and takes the Greek text from the parallels in ps.-maximus. In other words, Antonius remains unedited. At any rate, this work was based on ps.-maximus and the Sacra Parallela and holds little interest in the present context. The Melissa Augustana (Mel.Aug.) is one of the by now traditional names for a large thematic sacro-profane florilegium primarily based on MaxII. The modern editor, Sargologos, simply calls it a spiritual florilegium from manuscript Patmos 6. The Gnomica Basileensia is yet another collection once held in high esteem but now proven by its modern editor (Kindstrand) to derive entirely from the Maximus-tradition (MaxU). Sources such as the Gnomologium Parisinum and Vaticanus Ottobonensis 192 are in part dependent on Maximus, in part derive from earlier collections. The Demonax saying in Vaticanus graecus 96 (ed. Bertini Malgarini) occurs in a series of sayings clearly related to Gnomologium Parisinum, but the exact relationship remains unclear. The rejection of sayings attributed to Demonax in any one of these sources is based on a comparison with the overall tradition, giving greatest weight to the attribution in Corpus Parisinum and then in pseudo-maximus. So much for the available Greek sources. For the record, I should also state that I have searched through some Latin and Arabic collections accessible to me but without finding any mention of Demonax. However, there is at least one Arabic parallel to a saying in Lucian. 25 Although the Greek gnomological tradition is one of constant flux during the course of centuries, I hope to have shown in this paper that it is possible to impose some degree of order on the flotsam and jetsam, at least for the sayings of Demonax, and that this in turn strengthens the case for the historicity of Demonax of Cyprus. In conclusion I would point out that Demonax, like other philosophers of a Cynical bent, may himself have devoted time and effort to collecting apophthegms. 26 After all, on the evidence of Lucian, he not only spouted his own apophthegms but also held up Socrates, Aristippus and Diogenes as role models, all of whom are obviously tremendously 24 To be precise, MaxU is both abridged and expanded, in the sense that it lacks a number of excerpts present in MaxII but has also additions not present in MaxII, apart from cod. A, which is a version of MaxII that shows the same additions as in MaxU but also interpolations from MaxI. 25 I could only search the Arabic collections available in translation to one of the European languages I know. See D. GUTAS, Greek Wisdom Literature p. 456 for the Arabic parallel to the remark in Lucian Dem. 66, Do not fuss the stench will get me buried. 26 See Z. STEWART, Democritus and the Cynics, Harvard Studies in Classical Philology 63 (1958) , on Cynics and the tradition of the sayings of Democritus. See also Gutas discussion of the influence of Cynic compilations of sayings on the gnomological tradition, directly for the Greek, indirectly for the Arabic (D. GUTAS, Greek Wisdom Literature pp ).

9 present in the gnomological tradition. It is not far-fetched to suppose him to have collected their sayings and other choice philosophical anecdotes. If so, then perhaps his remains in the gnomologies not only offer us his own ipse dixits but even a few fragments from his professional activity as well.

10 Sententiae Demonactis ex aliis fontibus praeter Lucianum haustae (1) Fons: Stobaeus = Corpus Parisinum 3.348; ps.-maximus /31; Gnomica Basileensia 284; Melissa Augustana (Δημώνακτος); Antonius Melissa 1192BC (Demonactis); Gnomologium Parisinum 186 Demonax fr. 4 Funk, Demonax fr. 6 FPG II (Mullach) Δημώνακτος. Δημῶναξ ἐξεταζόντων τινῶν, εἰ ὁ κόσμος ἔμψυχος, καὶ αὖθις εἰ σφαιροειδής, Ὑμεῖς, ἔφη, περὶ μὲν τοῦ κόσμου πολυπραγμονεῖτε, περὶ δὲ τῆς αὑτῶν ἀκοσμησίας οὐ φροντίζετε; Inter sententias sub lemmate Δημώνακτος CP cum lemmate Δημώνακτος Ps.-Maximus Δημῶναξ ἐξεταζόντων τινῶν Stob (Δημῶναξ omittunt Stobaei libri FPL) GnPar Ἄλλων δ ἐξεταζόντων CP Ἄλλων ἐξεταζόντων Max Mel.Aug. Ant.Mel. Δημῶναξ ἐξεταζόντων GnBas ἐμφρόνως ante ἔμψυχος addit GnBas et varii mss. Ps.- Maximus, secludit Kindstrand αὖθις] ἄλλων GnPar, omittit GnBas ἔφη] εἶπε Mel.Aug εἶπε Δημώναξ Ant.Mel. αὑτῶν] αὐτῶν Stob (L), CP (codd.) σαυτῶν Stob (F) MaxI ἑαυτῶν (in uno codice), Ant.Mel. ἀκοσμησίας Stob (F P 1 L) ἀκοσμίας Stob cod. P 2 et ceteri Rogationem post φροντίζετε indicat Hense, punctum ponunt ceteri. Anglice: When some people were discussing whether the cosmos had a soul and, again, whether it was spherical, Demonax said, You are very inquisitive about the cosmic order, but you don t give a thought to your own cosmic disorderliness. (2) Fons: Stobaeus Demonax fr. 7 Funk, Demonax fr. 16 FPG II (Mullach) Δημώνακτος Ὑψαίου καὶ Σωκράτους. Τὰς μὲν πόλεις ἀναθήμασι, τὰς δὲ ψυχὰς μαθήμασι κοσμεῖν δεῖ. Δημώνακτος] Δημόνακτος Stob (L) Anglice: From Demonax, Hysaeus and Socrates. One should embellish cities with dedications, souls with educations. = Corpus Parisinum post lemma Δημοκρίτου γνῶμαι; Appendix Vaticana I.250 (anonymi); Gnomologium Byzantinum (Democriti Isocratis Epicteti) 18 (e Florileio Palatino 18; Florilegio Monacensi 17, Flor. Leidensi 20, Gnomologio Barocciano 21); ps.-maximus /44 post lemma Δημοκρίτου; Melissa Augustana (post Democritum); Antonius Melissa 936A (post Democritum); Gnomica Homoeomata 34 (cf. ibidem Appendix 12 ex Iamblicho). Cf. Iamblichi Protrepticum 10.4: κοσμητέον ἱερὸν μὲν ἀναθήμασι, τὴν δὲ ψυχὴν μαθήμασιν. (3) Fons: Stobaeus Demonax fr. 3 Funk, Demonax fr. 8 FPG II (Mullach) Δημῶναξ ἐρωτηθεὶς πότε ἤρξατο φιλοσοφεῖν ὅτε καταγιγνώσκειν, ἔφη, ἐμαυτοῦ ἠρξάμην. Eclogam sine lemmate habunt S Br, addito lemmate δημωνάκτου M A. Δημῶναξ] δημώνακτος A 1 correxit A 2 πότε S πηνίκα M d A Br ἔφη omittit Br Anglice: Demonax, asked when he had begun to study philosophy, replied, When I began to judge myself.

11 = Arsenius 8.91c (4) Fons: Stobaeus Demonax fr. 1 Funk, Demonax fr. 5 FPG II (Mullach) Δημώνακτος. Θνητοὶ γεγῶτες μὴ φρονεῖθ ὑπὲρ θεούς. Eclogam cum lemmate habunt Stobaeus (S M A) δημόνακτος Stobaeus (M d Tr.) Anglice: As mortal beings, presume not to think above gods. Inter poetas tragicos rettulit A. Nauck, Tragicorum Graecorum Fragmenta (ed. 2) fr. 1 p Cf. Menandri Monostichoi 243 apud Meineke (Θνητοὶ γεγῶτες μὴ φρονεῖθ ὑπὲρ θεούς) et Monostichoi 336 apud Jaekel (Θνητὸς πεφυκὼς μὴ φρόνει γ ὑπέρθεα.) = Corpus Parisinum (Θνητὸς γεγονὼς ἄνθρωπος μὴ φρόνει μέγα). Vide etiam Vita G 128.7, Aesopica, ed. B. E. Perry (University of Illinois Press, Urbana 1952): θνητοὶ γεγονότες ὑπὲρ θεοὺς μὴ φρονεῖτε. (5) Fons: Corpus Parisinum = Ps.-Maximus /51 (Δημώνακτος); Melissa Augustana (Δημώνακτος); Gnomica Basileensia 280; cod. Par. gr (Anecdota graeca I p. 118, ed. Boissonade) Demonax fr. 2 Funk, Demonax fr. 2 TrGF I 207 (B. Snell, Tragicorum Graecorum fragmenta, vol. 1. Göttingen: Vandenhoeck Ruprecht, 1971). Κόλαζε κρίνων ἀλλὰ μὴ θυμούμενος. Cum lemmate Δημωνάκτου in CP Δημώναξ ἔφη ante textum addit GnBas. Anglice: Punish when you are judging but not when you are angry. = Gnomologium Byzantinum 254 (anonymus e Gnom. Barocc. 219); cod. Patm. gr. 263 n. 84 (inter Democritea); Antonius Melissa 1133D (Democriti). Eadem sententia recurrit inter monostichos Menandri (n. 429) apud Jaekel. (6) Fons: Corpus Parisinum = Ps.-Maximus 1.64./61 (post Demonactem); Gnomica Basileensia 173 (post Demonactem); Antonius Melissa 796A (post Demonactem); cod. Vat. Ottob. gr. 192 f. 231 r, 2 (post Demonactem) Demonax fr. 13 Funk, Demonax fr. 2 FPG II (Mullach) Αἰσχρὸν μὲν ἐν ἄλλοις ἀποδέχεσθαι τὰς ἀρετάς, ἐν ἑαυτοῖς δὲ ἔχειν τὰς κακίας. Ὁ αὐτὸς ἔφη ante textum addit GnBas μὲν post ἄλλοις ponunt MaxU, GnBas Anglice: It is shameful to accept virtue in others while having vice in oneself. (7) Fons: Corpus Parisinum = Ps.-Maximus 1.63./59 (Δημώνακτος); Gnomica Basileensia 172; Antonius Melissa 796A (post Demonactem); cod. Vat. Ottob. gr. 192 f. 231 r, 1 (Δημωνάκτου) Demonax fr. 12 Funk, Demonax fr. 1 FPG II (Mullach) Τοσοῦτον εἰς ἀρετὴν προσθήσεις, ὅσον ἂν ὑφέλῃς τῶν ἡδονῶν. Δημώναξ ἔφη ante textum addit GnBas. Anglice: You will add to virtue as much as you subtract from your pleasures.

12 (8) Fons: Corpus Parisinum = Ps.-Maximus /47.32 (Δημώνακτος); Gnomica Basileensia 312 Demonax fr. 17 Funk, Demonax fr. 9 FPG II (Mullach) Τοῖς ὠσὶ πλέον ἢ τῇ γλώττῃ χρῶ. Anglice: Use your ears more than your tongue. (9) Fons: Corpus Parisinum = Ps.-Maximus 2.27./27 (Δημώνακτος); Gnomica Basileensia 181; Antonius Melissa 801B (Demonactis); Arsenius 7.16g (Δημώνακτος) Demonax fr. 10 Funk, Demonax fr. 4 FPG II (Mullach) Ἐν ἀλλοτρίοις παραδείγμασι παίδευε σεαυτόν, καὶ ἀπαθὴς τῶν κακῶν ἔσῃ. Δημώναξ ἔφη ante textum addit GnBas σαυτὸν Ant.Mel. Anglice: Educate yourself by the examples of others, and you will be insensible to tribulations. (10) Fons: Corpus Parisinum Οἱ πολλῶν παρὰ καιρὸν ἐφιέμενοι κινδυνεύουσι μηδὲ τῶν ὀλίγων τυγχάνειν. Anglice: People with many inopportune goals run the risk of attaining not even a little. (11) Fons: Corpus Parisinum = Ps.-Maximus /42 (Δημώνακτος); Gnomica Basileensia 274; Melissa Augustana (Δημωνάκτου); Antonius Melissa 984A (Demonactis) Demonax fr. 25 Funk Οὔτε οἱ ἄμουσοι τοῖς ὀργάνοις οὔτε οἱ ἀπαίδευτοι ταῖς τύχαις δύνανται συναρμόσασθαι. Anglice: Like unmusical men with instruments, uneducated people do not know how to adapt harmoniously to their fortunes in life. = Stobaeus (post Socratem = Socratis fr. I C 230 apud G. Giannantoni, Socratis et Socraticorum Reliquiae, Napoli 1990) et Gnomica Homoeomata 12. (12) Fons: Corpus Parisinum = Ps.-Maximus /53 (Δημώνακτος) Demonax fr. 22 Funk Ὁ λόγος ὥσπερ πλάστης ἀγαθὸς τῇ ψυχῇ περιτίθησι σχῆμα. Anglice: Like a good sculptor, reasoning shapes the soul. = Gnomica Basileensia 261 (ὁ αὐτὸς ἔφη post Democritum); Stobaeus (τοῦ αὐτοῦ post Socratem); Gnomica Homoeomata 47a; Gnomologium Byzantinum (Democriti Isocratis Epicteti) n. 104 in cod. Ath. 1070; Appendix Vaticana I.133 (anonymi) et 258 (anonymi). Praeter GnBas addunt ceteri fontes καλὸν ante τῇ ψυχῇ.

13 (13) Fons: Corpus Parisinum = Ps.-Maximus /49 (Δημώνακτος); Gnomica Basileensia 271 Demonax fr. 6 Funk, Demonax fr. 10 FPG II (Mullach) Οἱ ἀπαίδευτοι καθάπερ οἱ ἁλιευόμενοι ἰχθύες ἑλκόμενοι σιγῶσιν. Δημώναξ ἔφη ante textum addit GnBas. Anglice: Like fish being caught, the uneducated have nothing to say while they are being reeled in. = Melissa Augustana (ὁ αὐτὸς post Socratem) cfr sententiam (N) infra; Gnomica Homoeomata 61. (14) Fons: Corpus Parisinum = Ps.-Maximus /54 (post Demonactem); Arsenius 1.60 (Δημώνακτος). Demonax fr. 11 Funk Αἱ μὲν χελιδόνες εὐδίαν ἡμῖν προσημαίνουσιν, οἱ δὲ ἐκ φιλοσοφίας λόγοι ἀλυπίαν. Anglice: As swallows are a sign of fair weather to come, so too philosophical discourse of freedom from sorrow. = Gnomica Basileensia 262 (ὁ αὐτὸς ἔλεγεν post Democritum); Antonius Melissa 929C (post Clitarchum); Appendix Vaticana I.330 (anonymi); Gnomica Homoeomata 128. (15) Fons: Corpus Parisinum Ἐν μὲν εὐδίᾳ σπάνιον τὸ ναυαγῆσαι, ἐν δὲ εὐβουλίᾳ τὸ ἀτυχῆσαι. Anglice: With fair weather shipwreck is rare, with good counsel failure. = Gnomica Homoeomata 146 (16) Fons: Corpus Parisinum = Ps.-Maximus /20 (Δημώνακτος); Melissa Augustana (Δημωνάκτου) Demonax fr. 30 Funk Δεῖ ὥσπερ φορτίον τὴν λύπην ἀναθέμενον μὴ στένοντα φέρειν. Anglice: One must bear sorrow like a load one has taken upon oneself, without groaning. = Gnomica Homoeomata 154a (17) Fons: Corpus Parisinum = Ps.-Maximus /43 (post Demonactem); Gnomica Basileensia 275 (post Demonactem); Melissa Augustana (post Demonactem); Antonius Melissa 984A (post Demonactem). Demonax fr. 15 Funk, Demonax fr. 15 FPG II (Mullach) Δείκνυσιν ἡ μὲν τροπὴ τὸν κατ ἀλήθειαν ἀνδρεῖον, ἡ δὲ ἀτυχία τὸν φρόνιμον. Ὁ αὐτός φησι ὅτι ante textum addit GnBas. κατ ] κατὰ Ps.-Maximus GnBas Mel.Aug. Ant.Mel. Anglice: A rout reveals the truly brave, and misfortune the truly wise. = Gnomica Homoeomata 154b

14 (18) Fons: Corpus Parisinum (post lemma Τοῦ αὐτοῦ ἀποφθέγματα) = Ps.-Maximus /29 (Δημώνακτος); Melissa Augustana (Δημωνάκτου); Antonius Melissa 945B (Demonax) Demonax fr. 16 Funk, Demonax fr. 7 FPG II (Mullach) Τινὸς δὲ σοφιστοῦ αἰτιωμένου αὐτὸν καὶ φήσαντος διὰ τί με κακῶς λέγεις; ὅτι μὴ καταφρονεῖς, ἔφη, τῶν κακῶς λεγόντων. δὲ omittunt Ps.-Maximus Mel.Aug. Ant.Mel. φήσαντος] λέγοντος ΑΜ ἔφη ante ὅτι transposuerunt MaxU MaxII Ant.Mel., omittit MaxI τῶν... λεγόντων] τὸν... λέγοντα ΑΜ Anglice: When a sophist asked him accusingly, Why do you speak badly of me?, he replied, Because you do not scorn those who speak badly of you. = Gnomica Basileensia 234 (ὁ αὐτὸς post Demosth.). (19) Fons: Corpus Parisinum = Ps.-Maximus 1.65./61; Gnomica Basileensia 174 (post Demonactem); cod. Vat. Ottob. gr. 192 f. 231 r, 3 (post Demonactem). Demonax fr. 14 Funk, Demonax fr. 3 FPG II (Mullach) Τοὺς δὲ τῶν μὲν σωμάτων ἐπιμελουμένους, ἑαυτῶν δὲ ἀμελοῦντας ὠνείδιζεν, ὡς τῶν μὲν οἴκων ἐπιμελουμένους, τῶν δ ἐνοίκων ἀμελοῦντας. ὁ αὐτὸς ante textum addit GnBas τοὺς δὲ τῶν μὲν] τοὺς Ps.-Maximus, GnBas, Ottob. ὠνείδιζε(ν) ante τοὺς ponit GnBas. Anglice: He used to reproach those people who took care of their bodies but were negligent with their own selves as taking care of the houses while neglecting the residents. (20) Fons: Corpus Parisinum = Ps.-Maximus /21 (post Demonactem); Melissa Augustana (Δημώνακτος) Demonax fr. 26 Funk Ἔλεγε δὲ ὅτι οἱ ἄνθρωποι τάφους μὲν κατασκευάζονται καὶ ἐντάφια ὥσπερ μέλλοντες αὐτοῖς χρῆσθαι, ἀφοβίαν δὲ καὶ ἀλυπίαν τὴν περὶ τοῦ θανάτου ᾗ χρήσονται οὐ παρασκευάζονται. ἔλεγε δὲ ὅτι omittunt Ps.-Maximus Mel.Aug. Anglice: He used to say that people get their graves and funeral expenses ready as if they themselves were going to need them, but they do not equip themselves with fearlessness and freedom from sorrow in the face of death which they will be needing. Corpus Parisinum = (1) supra

15 (21) Fons: Corpus Parisinum = Ps.-Maximus 6.83./118 (Δημώνακτος); Gnomica Basileensia 206; Antonius Melissa 853B (Demonactis) Demonax fr. 18 Funk, Demonax fr. 11 FPG II (Mullach) Ἐλάσσω οἱ ἄνθρωποι κακῶς πάσχουσιν ὑπὸ τῶν ἐχθρῶν ἢ ὑπὸ τῶν φίλων τοὺς μὲν γὰρ ἐχθροὺς δεδιότες φυλάσσονται, τοῖς δὲ φίλοις ἀνεῳγμένοι εἰσὶ καὶ γίνονται σφαλεροὶ καὶ ἐπιβούλευτοι. Δημώναξ εἴρηκεν ante textum addit GnBas οἱ... πάσχουσιν] κακὰ πάσχουσιν οἱ ἄνθρωποι Ps.-Maximus GnBas Ant.Mel. ἐχθρῶν... φίλων CP MaxI (in uno codice) Ant.Mel. φίλων... ἐχθρῶν cett. codd. Ps.- Maximus, codd. GnBas ἐπιβούλευτοι] εὐεπιβούλευτοι ΑΜ Anglice: People suffer less ill-treatment from their enemies than from their friends, because, in their fear of their enemies, they are on their guard, but leave themselves open for their friends and become vulnerable to supplantation and plotting. Cfr. Appendix Vaticana Ser. I n. 107 et Gnomologium Vaticanum 424 (Platonis). Corpus Parisinum = A infra (22) Fons: Appendix Vaticana ser. I n. 58 Δημῶναξ ὁρῶν πλῆθος ἑπόμενον ἑταιριζούσῃ γυναικί διαίρεσις, ἔφη, ἀνθρωπίνη ἐστὶ τόδε τὸ γύναιον οἱ μὲν γὰρ ἄγονται, οἱ δὲ παράγονται, οἱ δὲ ἐξάγονται. Anglice: Upon seeing a crowd following a professional courtesan about, Demonax said, This little woman is a human divider: some men are being led on, some led astray, and some led off the scene. (23) Fons: Appendix Vaticana ser. I n. 59 Οὗτος ἐρωτηθείς, τί ἐστι μνήμη μήτηρ, ἔφη, μαθημάτων. Anglice: Asked to define memory, he said, the mother of learning. = cod. Neapol. gr. II D 22 f. 43 v (n. 70 apud Sbordone) ubi verba ὁ αὐτὸς (pro οὗτος) post Δαρεῖος vitiose ponuntur. (24) Fons: Appendix Vaticana ser. I n. 60 = Codex Neapolitanus graecus II D 22 f. 44 r (n. 71 apud Sbordone) Οὗτος ἔφη τίμα τοὺς ἐν ὑπεροχῇ καὶ μὴ θαύμαζε τὸ μὲν γὰρ νόμιμον, τὸ δὲ ταπεινόν. Verba δι ἀρετῆς ἀριστεύοντας, τοὺς δὲ διὰ τύχης seu alia similia post τίμα τοὺς inserere vellet Sbordone. Anglice: He said: Show honour to those in authority but do not stand in awe of them, for the former attitude conforms to custom, but the latter is abasing. (25) Fons: Appendix Vaticana ser. I n. 61 = Codex Neapolitanus graecus II D 22 f. 44 r (n. 72 apud Sbordone) Οὗτος, πειρῶ, ἔφη, ποιεῖν τὰς μὲν ἔχθρας ὀλιγοχρονίους, τὰ δὲ φιλίας πολυχρονίους. Anglice: He said, Try to make your enmities short-lasting and your friendships long-lasting.

16 (26) Fons: Ps.-Maximus 6.30./38 = Gnomica Basileensia 198; Melissa Augustana (Δημωνάκτου); Gnomologium Parisinum 103 Demonax fr. 21 Funk Αἰτιωμένου τινὸς τῶν ἑταίρων αὐτὸν καὶ φήσαντος οὐκ ἐχρῆν σε τῷ ἐχθρῷ μου φίλον εἶναι σὲ μὲν οὖν, ἔφη, οὐκ ἐχρῆν τῷ φίλῳ μου ἐχθρὸν εἶναι. Eclogam habunt MaxII, MaxU; omittit MaxI. Δημώναξ ante textum addit GnBas Δημώνακτα ante textum addit GnPar αἰτιωμένου MaxII GnPar καταιτιωμένου MaxU GnBas αὐτὸν MaxII, omittit GnPar αὐτῷ MaxU (inter cruces ponit Ihm) GnBas (in αὐτὸν emendat Kindstrand) σὲ μὲν... εἶναι] ἀλλ οὐδὲ σὲ ἔφη τῷ φίλῳ μου ἐχθρὸν γενέσθαι GnPar Anglice: When one of his companions said to him accusingly, You ought not to be a friend to my enemy, he said, No, it s you who ought not to be an enemy to my friend. = Gnomologium Parisinum 1 (27) Fons: Cod. Vat. gr. 96 n. 2 Δημῶναξ, ἀξιούντων τινῶν προτιμᾶσθαι διὰ τὴν τῶν προγόνων εὐγένειαν, γελοῖον ἔφη ἀλεκτρυόνας μὲν οὐκ ἀπὸ τῶν προγόνων δοκιμάζεσθαι γενναίους ἢ ἀγεννεῖς ἀλλ ἀφ ἑαυτῶν, τοὺς δὲ ἀνθρώπους ἀξιοῦν ἀπὸ τῶν προγόνων ἀλλ οὐκ ἀφ ἑαυτῶν δοκιμάζεσθαι. γενναίους ἢ ἀγεννεῖς] [εἰ εὑγενεῖς] εἰ γενναῖοι GnPar Anglice: When some people were expecting to be preferred because of their noble ancestry, Demonax said, It would be ridiculous not to assess the excellence of cocks by their parentage rather than their own qualities, yet to presume to judge people by their ancestry rather than their personal qualities. = Ps.-Maximus */105 Demonax fr. 5 Funk, Demonax fr. 14 FPG II (Mullach) SENTENTIAE REIECTAE (A) Fons: Corpus Parisinum Εἰσί τινες οἳ τὸν μὲν παρόντα βίον οὐ ζῶσιν, ἀλλὰ παρασκευάζονται πολλῇ σπουδῇ ὡς ἕτερον βίον βιωσόμενοι, οὐ τὸν παρόντα. = Stobaeus : Ἀντιφῶντος. Εἰσί τινες... οὐ τὸν παρόντα καὶ ἐν τούτῳ παραλειπόμενος ὁ χρόνος οἴχεται. Anglice: There are people who do not live in the present but prepare themselves assiduously as though they were to live some other life, not the present one. Demonax fr. 8 Funk (B) Fons: Ps.-Maximus 6.90./125 post lemma ad Ps.-Maximus 6.89./124 Ἐκ τοῦ Ἐπικτήτου Ἰσοκράτους καὶ Δημωνάκτος (sic) Ἡ τῶν περιστάσεων ἀνάγκη τοὺς μὲν φίλους δοκιμάζει, τοὺς δὲ ἐχθροὺς ἐλέγχει. = Corpus Parisinum 5.49 (Gnomologium Byzantinum, Democriti Isocrati Epicteti); Gnomica Basileensia 453b (Epicteti); Melissa Augustana (post lemma Democriti Isocratis Epicteti ); Antonius Melissa 852A (post Epictetum). Anglice: Trying circumstances prove who our friends are and show us our enemies. Demonax fr. 9 Funk (C) Fons: Ps.-Maximus 2.26./26 (Κλειτάρχου ante Δημώνακτος) Ἡ ἰσχὺς τοῦ σώματος μὴ γινέσθω τῆς ψυχῆς ἀσθένεια ἰσχὺν δὲ ψυχῆς φρόνησιν νόμιζε. = Corpus Parisinum (Clitarchi). Anglice: Do not let the strength of the body become the weakness of your soul. Regard practical wisdom as the soul s strength.

17 (D) Fons: Antonius Melissa 853BC (post Demonactem) Demonax fr. 19 Funk, Demonax fr. 12 FPG II (Mullach) Μυστήριον ἐν φιλίᾳ ἀκούσας ὕστερον ἐχθρὸς γενόμενος μὴ ἐκφάνῃς ἀδικεῖς γὰρ οὐ τὸν ἐχθρόν, ἀλλὰ τὴν φιλίαν. = Ps.-Maximus 6.95./130 (Σέξτου); Melissa Augustana (Sexti). Anglice: If you have learnt someone s secret when you are friends, do not reveal it later if you become his enemy, for you wrong not your enemy: you wrong friendship. (E) Fons: Antonius Melissa 853C (post Demonactem) Demonax fr. 20 Funk, Demonax fr. 13 FPG II (Mullach) Μὴ κτῆσαι φίλον, ᾧ μὴ πάντα πιστεύεις. = Ps.-Maximus 6.96./131 (post Sextum); Melissa Augustana (post Sextum). Anglice: Do not become friends with someone to whom you cannot entrust everything. (F) Fons: Demonax fr. 23 Funk Πλοῦτος ἀπὸ κακῆς ἐργασίας ἐπιγιγνόμενος ἐπιφανέστερον ὄνειδος κέκτηται. = Corpus Parisinum (Democriti); Ps.-Maximus /24 (Democriti); Melissa Augustana (Democriti); Antonius Melissa 885A (post Chilonem apud Migne, cum lemmate Demonactis apud Gesner) et 900C (Democriti). Anglice: Wealth gained from wrongdoing earns a man but a manifest burden. (G) Fons: Demonax fr. 24 Funk Χρήματα πορίζειν μὲν οὐκ ἀχρεῖον, ἐξ ἀδικίας δὲ πάντων κάκιον. = Corpus Parisinum (inter Democritea); ps.-maximus /25 (post Democriti); Gnomica Basileensia 286 (Democriti); Melissa Augustana (post Democritum); Antonius Melissa 877D (post dictum Thespidae) et I C (post Democritum) Anglice: Money-making is not unsuitable, but unjust money-making is worse than anything. Ἔνιοι πόλεων μὲν δεσπόζουσι, γυναιξὶ δὲ δουλεύουσιν. (H) Fons: Demonax fr. 27 Funk = Corpus Parisinum 4.38 (Democriti) e Stobaeo (Democriti); ps.-maximus 3.39./36 (Democriti); Gnomica Basileensia 188 (Democriti) Anglice: Some rule over cities but are slaves to women. Demonax fr. 28 Funk (I) Fons: Ps.-Maximus (PG) 828D (Δημώνακτ.) Ὁ αὐτὸς ἐρωτηθεὶς τίς αὐτοῦ διδάσκαλος γεγονὼς εἴη τὸ τῶν Ἀθηναίων, ἔφη, βῆμα ἐμφαίνων ὅτι ἡ διὰ τῶν πραγμάτων ἐμπειρία κρείττων πάσης σοφιστικῆς διδασκαλίας ἐστίν. = Corpus Parisinum (Demadis) e Stobaeo (eiusdem); ps.-maximus /82 (eiusdem); Gnomica Basileensia 273 (eiusdem). Anglice: The same man, asked who his teacher was, said: The Athenian courtroom, emphasizing thus that practical experience is better than any sophistical education. Demonax fr. 29 Funk (J) Fons: Ps.-Maximus (PG) 853A (Δημόνακτ.) Ὑγιαίνων νοσεῖ πᾶς περίεργος ὁ τὰ ἀλλότρια πολυπραγμονῶν. = Corpus Parisinum (anonymi); ps.-maximus /30 (post Euclidum); Gnomica Basileensia 407 (Euclidi); Melissa Augustana (post Aristot.); Antonius Melissa 1192B (Euclidi ante Demonactis sententiam 1 supra). Anglice: Sick while healthy is every inquistive type who sticks his nose into other people s business. Demonax fr. 31 Funk (brevius) (K) Fons: Ps.-Maximus (PG) 949A (Δημονάκτ.) Τοῖς Ἀσκληπιάδαις μείζων ὀφείλεται χάρις ἐπερχομένην ἀναστέλλουσι νόσον ἢ παραπεσοῦσαν ἰασαμένοις, τοῦ γὰρ ἀπηλλάχθαι κακοῦ τὸ μὴ πάσχειν αἱρετώτερον. = ps.-maximus 43.-./50.19 (Demadis); Antonius Melissa 953A (eiusdem).

18 Anglice: Greater thanks is due the physicians (Asclepiads) who prevent a disease from coming on than to those who heal a disease already contracted, for not suffering is preferable to being relieved of pain. (L) Fons: Antonius Melissa 796A (Demonactis) Βούλου τὰς τῆς ἀρετῆς εἰκόνας ὑπομνήματα μᾶλλον ἢ τοῦ σώματος καταλιπεῖν. = Corpus Parisinum (Isocrat.) ex Isocratis Ad Demonicum 24; ps.-maximus 1.54./51; Gnomica Basileensia 527. Anglice: Leave behind as memorials images of your virtuous character rather than of your body. (M) Fons: Antonius Melissa 945BC Πελοπίδου ἀνδρείου στρατιώτου διαβληθέντος τῷ Δημώνακτι [al. αὐτῷ], ὡς βλασφημοῦτος αὐτόν, Ἐγὼ τὰ μὲν ἔργα, ἔφη, αὐτοῦ βλέπω, τὸν δὲ λόγον οὐκ ἤκουσα. = Corpus Parisinum (Pelopidas de milite incognito); ps.-maximus /33; Melissa Augustana Anglice: When accusations reached him about a courageous general on the grounds that he had spoken evil of him, Pelopidas said, I have seen his deeds, but I have not heard his words. (Ν) Fons: Melissa Augustana (lemma Δημώνακτος haud recte addit Sargologos, cfr 13 supra) Τί ἡ γῆ βαρύτερον βαστάζει; ἔφη Ἄνθρωπον ἀπαίδευτον. = Corpus Parisinum (fortasse Diogenis); = Ps.-Maximus /50, Διογένους; = Stob , post Diogenem. Post hoc dictum sequitur aliud (cum ὁ αὐτὸς incipiens) apud Sargologos quod in ceteris fontibus ad Cleanthem tribuitur (= Corpus Parisinum 4.23 = Stobaeus = Ps.-Maximus 17.44/53.) Anglice: Asked what the heaviest thing on earth was, he said, An uncultivated human being. Χρόνος δὲ φευγέτω σε μηδὲ εἷς ἀργός. (O) Fons: Arsenius 18.41d cum lemmate Δημώνακτος = Stobaeus (Hipponactis). Anglice: Let not even a single idle moment escape you. (cf. Loeb Classical Library, Theophrastus Characters. Herodes, Cercidas, Choliambic Poets, J. M. Edmonds, A. D. Knox, Cambridge MA 1967, introduction to Hipponax and Ananius, p. 6).

19 FONTES Antonius Melissa Loci Communes, Patrologia Graeca (Migne) vol. 136 coll Appendix Vaticana L. Sternbach, Appendix Vaticana Serya I, e cod. Vat. gr. 1144, Rozprawy Akademii Umiejętności, Wydział Filologiczny, Serya II, Tom V, Krakow 1894, ; Arsenius Corpus paroemiographorum Graecorum, vol. 2, ed. E.L. Leutsch, Göttingen 1851 (Hildesheim 1958). Cod. Ath. Vide Odorico infra. Cod. N Codex Neapolitanus Graecus II D 22. Cfr F. Sbordone, Sentenze di filosofi e detti celebri d antichi spartani (excerpta e codd. Neapol. gr. II D 22; Neapol. gr. II C 37), Rivista Indo-Greco-Italica di Filologia e Antichità Classiche (1935) 1-18 [113]-[130] = Scritti di varia filologia, Napoli (1971) Cod. Ottob. Codex Vaticanus Ottobonianus Graecus 192 ff. 207 r -239 r. Cod. Patm. 263 A. Bertini-Malgarini, ΑΡΧΑΙΩΝ ΦΙΛΟΣΟΦΩΝ ΓΝΩΜΑΙ ΚΑΙ ΑΠΟΦΘΕΓΜΑΤΑ in un manoscritto di Patmos Elenchos 5 (1984) Cod. Vat. gr. 96 A. Bertini Malgarini, Alcuni detti di Diogene Cinico del cod. Vat. gr. 96 in Studi per Riccardo Ribuoli. Scritti di filologia, musicologia, storia [Edizioni di Storia e Letteratura]. Rome 1986, pp Corpus Parisinum (CP) D. Searby, The Corpus Parisinum: A critical edition of the Greek text, with commentary and English, Lewiston NY 2007 (The Edwin Mellen Press). From codices Parisino graeco 1168, Bodleiano Digby 6. Gnomica Homoeomata A. Elter, Γνωμικὰ ὁμοιώματα des Socrates, Plutarch, Demophilus, Demonax, Aristonymus u.a. I Univ.-Progr. Bonn, Fritzsche De fragmentis Demonactis philosophi... (Univ. Prog.) Rostock 1866; Gesner, G. Sententiarum sive capitum theologicorum praecipue ex sacris et profanis libris tomi tres per Antonium et Maximum monachos olim collecti, Zürich, Gnomica Basileensia J. F. Kindstrand, Gnomica Basileensia [Studia Byzantina Upsaliensia 2], Uppsala Gnomologium Byzantinum C. Wachsmuth, Gnomologium Byzantinum ἐκ τῶν Δημοκρίτου Ἰσοκράτους Ἐπικτήτου e variis codicum exemplis restitutum, Studien zu den griechischen Florilegien (Berlin, 1882; Osnabrück, 1971) Utitur codicibus Barocciano 50 (Gnomologium Baroccianum), Parisino graeco 1168 (corpus Parisinum), Vossiano graeco Q 13 (Florilegium Leidense), Monacensi graeco 8 (Florilegium Monacense), Palatino Heidelbergensi 356 (Florilegium Palatinum). Gnomologium Parisinum Gnomologium Parisinum Ineditum, ed. L. Sternbach in Rozprawy Akademii Umiejętności, Wydział Filologiczny, Serya II, Tom V, Krakow 1894, pp Vide etiam D. Searby, The Sources of the So-Called Gnomologium Parisinum, Revue d histoire des textes 29 (1999) Gnomologium Vaticanum G. P. Landmann, Gnomologium Vaticanum e codice Vaticano Graeco 743 edidit Leo STERNBACH. [Texte und Kommentar 2] Berlin 1963 (De Gruyter & Co.). Melissa Augustana E. Sargologos, Un traité de vie spirituelle et morale du XI e siècle: le florilège sacro-profane du manuscrit 6 de Patmos: Introduction, texte critique, notes et tables. Thessalonique Monostichoi S. Jaekel, Menandri Sententiae, Leipzig (Teubner) Vide etiam Fragmenta Comicorum Graecorum vol. 4 Berlin 1841 (repr. De Gruyter 1970), pp (Γνῶμαι μονόστιχοι) ed. A. Meineke. Mullach, F. W. A. F. W. A. Mullach, Fragmenta philosophorum Graecorum (ed. DIDOT), vol. 2 Paris 1867 (Aalen 1968) Odorico P. Odorico, Lo Gnomologium Byzantinum e la recensione del Cod. Bibl. Nat. Athen. 1070, Rivista di Studi Bizantini e Slavi 2 (1982) (= Misc. Agost. Pertus. Tom. II). Ps.-Maximus S. Ihm, Ps.-Maximus Confessor: Erste kritische Edition einer Redaktion des sacroprofanen Florilegiums Loci communes (Palingenesia LXXIII). Stuttgart (Franz Ps.-Maximus (PG) Steiner) Fr. Combefis, Maximus Confessor, Loci Communes, Patrologia Graeca (Migne) vol. 91 coll Stat MaxI pro versione breviore, MaxII pro versione longiore, MaxU pro versione abbreviata e MaxII derivata. Stobaeus Ioannis Stobaei Anthologium, 1-4 (5 voll.), et Appendix, ed. C. Wachsmuth, O. Hense. Berlin (Zürich, 1958). E e codd. F (Farnesinus graecus 299), P (Parisinus graecus 2129), L (Laurentianus graecus 8.22), S (Vindobonensis

20 philosophicus et philologicus graecus 67), M (Escurialensis Mendozae), M d (Escurialensis collatio Dindorfiana), A (Parisinus graecus 1984), Br (Excerpta Bruxellensia), T (Trincavelliana Florilegii editio Venetiana).

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

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

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

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

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

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

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

LESSON 6 (ΜΑΘΗΜΑ ΕΞΙ) REF : 201/045/26-ADV. 10 December 2013

LESSON 6 (ΜΑΘΗΜΑ ΕΞΙ) REF : 201/045/26-ADV. 10 December 2013 LESSON 6 (ΜΑΘΗΜΑ ΕΞΙ) REF : 201/045/26-ADV 10 December 2013 I get up/i stand up I wash myself I shave myself I comb myself I dress myself Once (one time) Twice (two times) Three times Salary/wage/pay Alone/only

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

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

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

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

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

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

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

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

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

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

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

The Nottingham eprints service makes this work by researchers of the University of Nottingham available open access under the following conditions.

The Nottingham eprints service makes this work by researchers of the University of Nottingham available open access under the following conditions. Luevorasirikul, Kanokrat (2007) Body image and weight management: young people, internet advertisements and pharmacists. PhD thesis, University of Nottingham. Access from the University of Nottingham repository:

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

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

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

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

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

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

Galatia SIL Keyboard Information

Galatia SIL Keyboard Information Galatia SIL Keyboard Information Keyboard ssignments The main purpose of the keyboards is to provide a wide range of keying options, so many characters can be entered in multiple ways. If you are typing

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

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

1999 MODERN GREEK 2 UNIT Z

1999 MODERN GREEK 2 UNIT Z STUDENT NUMBER CENTRE NUMBER HIGHER SCHOOL CERTIFICATE EXAMINATION 1999 MODERN GREEK 2 UNIT Z (55 Marks) Time allowed Two hours (Plus 5 minutes reading time) DIRECTIONS TO CANDIDATES Write your Student

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

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

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

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

5.4 The Poisson Distribution.

5.4 The Poisson Distribution. The worst thing you can do about a situation is nothing. Sr. O Shea Jackson 5.4 The Poisson Distribution. Description of the Poisson Distribution Discrete probability distribution. The random variable

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

Other Test Constructions: Likelihood Ratio & Bayes Tests

Other Test Constructions: Likelihood Ratio & Bayes Tests Other Test Constructions: Likelihood Ratio & Bayes Tests Side-Note: So far we have seen a few approaches for creating tests such as Neyman-Pearson Lemma ( most powerful tests of H 0 : θ = θ 0 vs H 1 :

Διαβάστε περισσότερα

PARTIAL NOTES for 6.1 Trigonometric Identities

PARTIAL NOTES for 6.1 Trigonometric Identities PARTIAL NOTES for 6.1 Trigonometric Identities tanθ = sinθ cosθ cotθ = cosθ sinθ BASIC IDENTITIES cscθ = 1 sinθ secθ = 1 cosθ cotθ = 1 tanθ PYTHAGOREAN IDENTITIES sin θ + cos θ =1 tan θ +1= sec θ 1 + cot

Διαβάστε περισσότερα

Section 7.6 Double and Half Angle Formulas

Section 7.6 Double and Half Angle Formulas 09 Section 7. Double and Half Angle Fmulas To derive the double-angles fmulas, we will use the sum of two angles fmulas that we developed in the last section. We will let α θ and β θ: cos(θ) cos(θ + θ)

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

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

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

Writing for A class. Describe yourself Topic 1: Write your name, your nationality, your hobby, your pet. Write where you live.

Writing for A class. Describe yourself Topic 1: Write your name, your nationality, your hobby, your pet. Write where you live. Topic 1: Describe yourself Write your name, your nationality, your hobby, your pet. Write where you live. Χρησιμοποίησε το and. WRITE your paragraph in 40-60 words... 1 Topic 2: Describe your room Χρησιμοποίησε

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

[1] P Q. Fig. 3.1

[1] P Q. Fig. 3.1 1 (a) Define resistance....... [1] (b) The smallest conductor within a computer processing chip can be represented as a rectangular block that is one atom high, four atoms wide and twenty atoms long. One

Διαβάστε περισσότερα

Main source: "Discrete-time systems and computer control" by Α. ΣΚΟΔΡΑΣ ΨΗΦΙΑΚΟΣ ΕΛΕΓΧΟΣ ΔΙΑΛΕΞΗ 4 ΔΙΑΦΑΝΕΙΑ 1

Main source: Discrete-time systems and computer control by Α. ΣΚΟΔΡΑΣ ΨΗΦΙΑΚΟΣ ΕΛΕΓΧΟΣ ΔΙΑΛΕΞΗ 4 ΔΙΑΦΑΝΕΙΑ 1 Main source: "Discrete-time systems and computer control" by Α. ΣΚΟΔΡΑΣ ΨΗΦΙΑΚΟΣ ΕΛΕΓΧΟΣ ΔΙΑΛΕΞΗ 4 ΔΙΑΦΑΝΕΙΑ 1 A Brief History of Sampling Research 1915 - Edmund Taylor Whittaker (1873-1956) devised a

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

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

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

Section 9.2 Polar Equations and Graphs

Section 9.2 Polar Equations and Graphs 180 Section 9. Polar Equations and Graphs In this section, we will be graphing polar equations on a polar grid. In the first few examples, we will write the polar equation in rectangular form to help identify

Διαβάστε περισσότερα

The challenges of non-stable predicates

The challenges of non-stable predicates The challenges of non-stable predicates Consider a non-stable predicate Φ encoding, say, a safety property. We want to determine whether Φ holds for our program. The challenges of non-stable predicates

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

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

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

LESSON 12 (ΜΑΘΗΜΑ ΔΩΔΕΚΑ) REF : 202/055/32-ADV. 4 February 2014

LESSON 12 (ΜΑΘΗΜΑ ΔΩΔΕΚΑ) REF : 202/055/32-ADV. 4 February 2014 LESSON 12 (ΜΑΘΗΜΑ ΔΩΔΕΚΑ) REF : 202/055/32-ADV 4 February 2014 Somewhere κάπου (kapoo) Nowhere πουθενά (poothena) Elsewhere αλλού (aloo) Drawer το συρτάρι (sirtari) Page η σελίδα (selida) News τα νέα (nea)

Διαβάστε περισσότερα

Οι αδελφοί Montgolfier: Ψηφιακή αφήγηση The Montgolfier Βrothers Digital Story (προτείνεται να διδαχθεί στο Unit 4, Lesson 3, Αγγλικά Στ Δημοτικού)

Οι αδελφοί Montgolfier: Ψηφιακή αφήγηση The Montgolfier Βrothers Digital Story (προτείνεται να διδαχθεί στο Unit 4, Lesson 3, Αγγλικά Στ Δημοτικού) Οι αδελφοί Montgolfier: Ψηφιακή αφήγηση The Montgolfier Βrothers Digital Story (προτείνεται να διδαχθεί στο Unit 4, Lesson 3, Αγγλικά Στ Δημοτικού) Προσδοκώμενα αποτελέσματα Περιεχόμενο Ενδεικτικές δραστηριότητες

Διαβάστε περισσότερα

ΑΓΓΛΙΚΑ ΙΙΙ. Ενότητα 12b: The Little Prince. Ζωή Κανταρίδου Τμήμα Εφαρμοσμένης Πληροφορικής

ΑΓΓΛΙΚΑ ΙΙΙ. Ενότητα 12b: The Little Prince. Ζωή Κανταρίδου Τμήμα Εφαρμοσμένης Πληροφορικής Ενότητα 12b: The Little Prince Τμήμα Εφαρμοσμένης Πληροφορικής Άδειες Χρήσης Το παρόν εκπαιδευτικό υλικό υπόκειται σε άδειες χρήσης Creative Commons. Για εκπαιδευτικό υλικό, όπως εικόνες, που υπόκειται

Διαβάστε περισσότερα

Calculating the propagation delay of coaxial cable

Calculating the propagation delay of coaxial cable Your source for quality GNSS Networking Solutions and Design Services! Page 1 of 5 Calculating the propagation delay of coaxial cable The delay of a cable or velocity factor is determined by the dielectric

Διαβάστε περισσότερα

Approximation of distance between locations on earth given by latitude and longitude

Approximation of distance between locations on earth given by latitude and longitude Approximation of distance between locations on earth given by latitude and longitude Jan Behrens 2012-12-31 In this paper we shall provide a method to approximate distances between two points on earth

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

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

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

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

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

FINAL TEST B TERM-JUNIOR B STARTING STEPS IN GRAMMAR UNITS 8-17

FINAL TEST B TERM-JUNIOR B STARTING STEPS IN GRAMMAR UNITS 8-17 FINAL TEST B TERM-JUNIOR B STARTING STEPS IN GRAMMAR UNITS 8-17 Name: Surname: Date: Class: 1. Write these words in the correct order. /Γράψε αυτέσ τισ λέξεισ ςτη ςωςτή ςειρά. 1) playing / his / not /

Διαβάστε περισσότερα

7 Present PERFECT Simple. 8 Present PERFECT Continuous. 9 Past PERFECT Simple. 10 Past PERFECT Continuous. 11 Future PERFECT Simple

7 Present PERFECT Simple. 8 Present PERFECT Continuous. 9 Past PERFECT Simple. 10 Past PERFECT Continuous. 11 Future PERFECT Simple A/ Ονόματα και ένα παράδειγμα 1 Present Simple 7 Present PERFECT Simple 2 Present Continuous 8 Present PERFECT Continuous 3 Past Simple (+ used to) 9 Past PERFECT Simple she eats she is eating she ate

Διαβάστε περισσότερα

Nowhere-zero flows Let be a digraph, Abelian group. A Γ-circulation in is a mapping : such that, where, and : tail in X, head in

Nowhere-zero flows Let be a digraph, Abelian group. A Γ-circulation in is a mapping : such that, where, and : tail in X, head in Nowhere-zero flows Let be a digraph, Abelian group. A Γ-circulation in is a mapping : such that, where, and : tail in X, head in : tail in X, head in A nowhere-zero Γ-flow is a Γ-circulation such that

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

TMA4115 Matematikk 3

TMA4115 Matematikk 3 TMA4115 Matematikk 3 Andrew Stacey Norges Teknisk-Naturvitenskapelige Universitet Trondheim Spring 2010 Lecture 12: Mathematics Marvellous Matrices Andrew Stacey Norges Teknisk-Naturvitenskapelige Universitet

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

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

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 6/5/2006

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 6/5/2006 Οδηγίες: Να απαντηθούν όλες οι ερωτήσεις. Ολοι οι αριθμοί που αναφέρονται σε όλα τα ερωτήματα είναι μικρότεροι το 1000 εκτός αν ορίζεται διαφορετικά στη διατύπωση του προβλήματος. Διάρκεια: 3,5 ώρες Καλή

Διαβάστε περισσότερα

ΚΥΠΡΙΑΚΟΣ ΣΥΝΔΕΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY 21 ος ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ Δεύτερος Γύρος - 30 Μαρτίου 2011

ΚΥΠΡΙΑΚΟΣ ΣΥΝΔΕΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY 21 ος ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ Δεύτερος Γύρος - 30 Μαρτίου 2011 Διάρκεια Διαγωνισμού: 3 ώρες Απαντήστε όλες τις ερωτήσεις Μέγιστο Βάρος (20 Μονάδες) Δίνεται ένα σύνολο από N σφαιρίδια τα οποία δεν έχουν όλα το ίδιο βάρος μεταξύ τους και ένα κουτί που αντέχει μέχρι

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

Πώς μπορεί κανείς να έχει έναν διερμηνέα κατά την επίσκεψή του στον Οικογενειακό του Γιατρό στο Ίσλινγκτον Getting an interpreter when you visit your

Πώς μπορεί κανείς να έχει έναν διερμηνέα κατά την επίσκεψή του στον Οικογενειακό του Γιατρό στο Ίσλινγκτον Getting an interpreter when you visit your Πώς μπορεί κανείς να έχει έναν διερμηνέα κατά την επίσκεψή του στον Οικογενειακό του Γιατρό στο Ίσλινγκτον Getting an interpreter when you visit your GP practice in Islington Σε όλα τα Ιατρεία Οικογενειακού

Διαβάστε περισσότερα

ANSWERSHEET (TOPIC = DIFFERENTIAL CALCULUS) COLLECTION #2. h 0 h h 0 h h 0 ( ) g k = g 0 + g 1 + g g 2009 =?

ANSWERSHEET (TOPIC = DIFFERENTIAL CALCULUS) COLLECTION #2. h 0 h h 0 h h 0 ( ) g k = g 0 + g 1 + g g 2009 =? Teko Classes IITJEE/AIEEE Maths by SUHAAG SIR, Bhopal, Ph (0755) 3 00 000 www.tekoclasses.com ANSWERSHEET (TOPIC DIFFERENTIAL CALCULUS) COLLECTION # Question Type A.Single Correct Type Q. (A) Sol least

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

«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

LESSON 16 (ΜΑΘΗΜΑ ΔΕΚΑΕΞΙ) REF : 102/018/16-BEG. 4 March 2014

LESSON 16 (ΜΑΘΗΜΑ ΔΕΚΑΕΞΙ) REF : 102/018/16-BEG. 4 March 2014 LESSON 16 (ΜΑΘΗΜΑ ΔΕΚΑΕΞΙ) REF : 102/018/16-BEG 4 March 2014 Family η οικογένεια a/one(fem.) μία a/one(masc.) ένας father ο πατέρας mother η μητέρα man/male/husband ο άντρας letter το γράμμα brother ο

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

Policy Coherence. JEL Classification : J12, J13, J21 Key words :

Policy Coherence. JEL Classification : J12, J13, J21 Key words : ** 80%1.89 2005 7 35 Policy Coherence JEL Classification : J12, J13, J21 Key words : ** Family Life and Family Policy in France and Germany: Implications for Japan By Tomoko Hayashi and Rieko Tamefuji

Διαβάστε περισσότερα

Modbus basic setup notes for IO-Link AL1xxx Master Block

Modbus basic setup notes for IO-Link AL1xxx Master Block n Modbus has four tables/registers where data is stored along with their associated addresses. We will be using the holding registers from address 40001 to 49999 that are R/W 16 bit/word. Two tables that

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

Chapter 29. Adjectival Participle

Chapter 29. Adjectival Participle Chapter 29 Adjectival Participle Overview (29.3-5) Definition: Verbal adjective Function: they may function adverbially or adjectivally Forms: No new forms because adverbial and adjectival participles

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

2nd Training Workshop of scientists- practitioners in the juvenile judicial system Volos, EVALUATION REPORT

2nd Training Workshop of scientists- practitioners in the juvenile judicial system Volos, EVALUATION REPORT 2nd Training Workshop of scientists- practitioners in the juvenile judicial system Volos, 26-6-2016 Can anyone hear me? The participation of juveniles in juvenile justice. EVALUATION REPORT 80 professionals

Διαβάστε περισσότερα

Μηχανική Μάθηση Hypothesis Testing

Μηχανική Μάθηση Hypothesis Testing ΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΡΗΤΗΣ Μηχανική Μάθηση Hypothesis Testing Γιώργος Μπορμπουδάκης Τμήμα Επιστήμης Υπολογιστών Procedure 1. Form the null (H 0 ) and alternative (H 1 ) hypothesis 2. Consider

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

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

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

2007 Classical Greek. Intermediate 2 Translation. Finalised Marking Instructions

2007 Classical Greek. Intermediate 2 Translation. Finalised Marking Instructions 2007 Classical Greek Intermediate 2 Translation Finalised Marking Instructions Scottish Qualifications Authority 2007 The information in this publication may be reproduced to support SQA qualifications

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

Fractional Colorings and Zykov Products of graphs

Fractional Colorings and Zykov Products of graphs Fractional Colorings and Zykov Products of graphs Who? Nichole Schimanski When? July 27, 2011 Graphs A graph, G, consists of a vertex set, V (G), and an edge set, E(G). V (G) is any finite set E(G) is

Διαβάστε περισσότερα

Πρόβλημα 1: Αναζήτηση Ελάχιστης/Μέγιστης Τιμής

Πρόβλημα 1: Αναζήτηση Ελάχιστης/Μέγιστης Τιμής Πρόβλημα 1: Αναζήτηση Ελάχιστης/Μέγιστης Τιμής Να γραφεί πρόγραμμα το οποίο δέχεται ως είσοδο μια ακολουθία S από n (n 40) ακέραιους αριθμούς και επιστρέφει ως έξοδο δύο ακολουθίες από θετικούς ακέραιους

Διαβάστε περισσότερα

Uniform Convergence of Fourier Series Michael Taylor

Uniform Convergence of Fourier Series Michael Taylor Uniform Convergence of Fourier Series Michael Taylor Given f L 1 T 1 ), we consider the partial sums of the Fourier series of f: N 1) S N fθ) = ˆfk)e ikθ. k= N A calculation gives the Dirichlet formula

Διαβάστε περισσότερα

Congruence Classes of Invertible Matrices of Order 3 over F 2

Congruence Classes of Invertible Matrices of Order 3 over F 2 International Journal of Algebra, Vol. 8, 24, no. 5, 239-246 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/.2988/ija.24.422 Congruence Classes of Invertible Matrices of Order 3 over F 2 Ligong An and

Διαβάστε περισσότερα

BECAUSE WE REALLY WANT TO KNOW WHAT YOU THINK ABOUT SCHOOL AND YOUR GARDEN. Fairly true If I decide to learn something hard, I can.

BECAUSE WE REALLY WANT TO KNOW WHAT YOU THINK ABOUT SCHOOL AND YOUR GARDEN. Fairly true If I decide to learn something hard, I can. BECAUSE WE REALLY WANT TO KNOW WHAT YOU THINK ABOUT SCHOOL AND YOUR GARDEN Name GRADE Science Teacher A. What do I think about School? bit I try hard to do well in school. I look forward to coming to school.

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

Αναερόβια Φυσική Κατάσταση

Αναερόβια Φυσική Κατάσταση Αναερόβια Φυσική Κατάσταση Γιάννης Κουτεντάκης, BSc, MA. PhD Αναπληρωτής Καθηγητής ΤΕΦΑΑ, Πανεπιστήµιο Θεσσαλίας Περιεχόµενο Μαθήµατος Ορισµός της αναερόβιας φυσικής κατάστασης Σχέσης µε µηχανισµούς παραγωγής

Διαβάστε περισσότερα