THE FAIREST VICTOR: PLUTARCH, ARISTIDES AND THE PERSIAN WARS *

Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download "THE FAIREST VICTOR: PLUTARCH, ARISTIDES AND THE PERSIAN WARS *"

Transcript

1 Histos 6 (2012) THE FAIREST VICTOR: PLUTARCH, ARISTIDES AND THE PERSIAN WARS * Abstract: Plutarch s narratives of the Persian Wars assign a place of primary importance to Aristides the Just, and give him an influence not seen in any other source. At Marathon, Salamis and Plataea Aristides is front and centre, not only taking part in the battles, but also and especially offering sage counsel, reconciling differences, and managing the fractiousness of the Athenians and the Greek commanders. This prominent role assigned to Aristides probably results from Plutarch s concern in his own day (as evidenced, for example, in the Political Precepts) with concord and harmony amongst the ruling elite, and Aristides thus becomes for Plutarch an exemplum of how the statesman should conduct himself vis-à-vis his colleagues and the people at large. P lutarch s interest in the Persian Wars can be seen from the many comments he makes about them in both the Moralia and the Lives, especially those of Themistocles, Aristides, Cimon, and even Alexander. By his time, of course, the Persian Wars were ancient history and had long been subjected to a process of mythicisation begun only shortly after the Persians evacuated Greece in 479 BCE. 1 Over the centuries they had been appealed to in a variety of ways, and Plutarch in this sense is no different from his predecessors. Plutarch himself saw the Persian Wars as a high point of Greek history, referring to Marathon, Salamis and Plataea as the fairest, the most glorious and the first of Greek achievements. 2 In his Life of Flamininus, at the point of the proclamation of Greek freedom at the Isthmian games of 196, Plutarch portrays the Greeks themselves as meditating on their history and offering an assessment that must, of course, be Plutarch s own (Flaminin. 11.6): * Earlier versions of this paper were given at the annual meetings of the Classical Association of the Middle West and South in Gainesville, Florida in 2006 and of the Classical Association in Exeter in I am grateful to the audiences at each of these meetings for helpful observations. I thank in particular Christopher Pelling, John Moles, and an anonymous reader for the journal for advice and assistance. The responsibility for what remains is, of course, wholly mine. Translations from Herodotus are those of my Penguin revision of de Sélincourt; those from the Lives are from the Loeb or are modified versions of the Penguin Scott-Kilvert translation; those from the Moralia are adapted from the Loeb versions. 1 There is no single treatment of the entire Persian Wars tradition, but see Kierdorf (1966) and Bridges Hall Rhodes (2007). 2 Plut. Comp. Arist. Cato Maior 5.1: τὰ κάλλιστα καὶ λαµπρότατα καὶ πρῶτα τῶν Ἑλληνικῶν ἔργων ὁ Μαραθών, ἡ Σαλαµίς, αἱ Πλαταιαί. Copyright 2012 John Marincola 6 July 2012

2 92 John Marincola ἀλλ εἰ τὸ Μαραθώνιόν τις ἔργον ἀφέλοι καὶ τὴν ἐν Σαλαµῖνι ναυµαχίαν καὶ Πλαταιὰς καὶ Θερµοπύλας καὶ τὰ πρὸς Εὐρυµέδοντι καὶ τὰ περὶ Κύπρον Κίµωνος ἔργα, πάσας τὰς µάχας ἡ Ἑλλὰς ἐπὶ δουλείᾳ µεµάχηται πρὸς αὑτήν, καὶ πᾶν τρόπαιον αὐτῆς συµφορὰ καὶ ὄνειδος ἐπ αὐτὴν ἕστηκε, τὰ πλεῖστα κακίᾳ καὶ φιλονικίᾳ τῶν ἡγουµένων περιτραπείσης. But with the exception of the battles of Marathon and Salamis and Plataea and Thermopylae, and the deeds of Cimon at the Eurymedon and around Cyprus, all her other battles Greece fought against herself and for her own enslavement, and every trophy stands as her misfortune and reproach, since she was subdued for the most part by the wickedness and competitive zeal of her leading men. A full study of Plutarch s attitude towards the Persian Wars is certainly a desideratum, 3 but the present paper offers only a modest contribution to that study, focusing on the figure of Aristides. The material comes mostly from his Life and that of Themistocles, although reference is also made to Plutarch s remarks scattered throughout the Moralia. I When we look at Plutarch s treatment of the Persian Wars, at least as it can be seen in those Lives that treat the fifth century, it becomes immediately clear that Aristides occupies a position of cardinal importance in every one of the major battles, Marathon, Salamis and Plataea, and Plutarch (uniquely) places him at all three of those great victories of the war. Moreover, although Plutarch realises that Aristides was not the chief commander in any of the battles, 4 Aristides nevertheless plays an important, indeed one might say decisive, role in each of them. This is rather a far cry from his portrayal in Herodotus history and in other sources, and it may be worthwhile to ask what Plutarch found so compelling about the figure of Aristides. 5 Before we get to the Persian Wars, however, it will be useful to say something about Aristides portrayal in the early chapters of Plutarch s Life. 6 After an opening discussion about the extent of Aristides wealth, Plutarch notes I hope to provide such a treatment in a forthcoming work. Comp. Arist. C. Maior 56(2).2:ἐν οὐδενὶ τῶν κατορθωµάτων γέγονε πρῶτος. Aristides is mentioned thrice in Herodotus, twice at Salamis and once at Plataea (see below). For his role in the Aristotelian Atheniaion Politeia see below, n For the structure of these opening chapters see, most recently, Duff (2011b)

3 The Fairest Victor: Plutarch, Aristides and the Persian Wars 93 that Aristides was an associate of Cleisthenes, but admired and modelled himself on Lycurgus of Sparta. 7 The first observation may be no more than Plutarch s usual procedure trying to tie together the great leaders of Athens in an unbroken string. 8 The admiration for Lycurgus alerts the reader at the outset to several of Aristides Spartan characteristics, especially his lack of concern with wealth and his dedication to the unity of the state. 9 Once the lengthy discussion of Aristides wealth or poverty is concluded, Plutarch immediately introduces Themistocles as a foil for Aristides from their childhood days not surprising, of course, since the two had been coupled in history and popular imagination from the fifth century onwards. 10 The characterisation of the two here redounds, not surprisingly, to Aristides credit (Arist. 2.2): ἔνιοι µὲν οὖν φασιν παῖδας ὄντας αὐτοὺς καὶ συντρεφοµένους ἀπ ἀρχῆς ἐν παντὶ καὶ σπουδῆς ἐχοµένῳ καὶ παιδιᾶς πράγµατι καὶ λόγῳ διαφέρεσθαι πρὸς ἀλλήλους, καὶ τὰς φύσεις εὐθὺς ὑπὸ τῆς φιλονικίας ἐκείνης ἀνακαλύπτεσθαι, τὴν µὲν εὐχερῆ καὶ παράβολον καὶ πανοῦργον οὖσαν καὶ µετ ὀξύτητος ἐπὶ πάντα ῥᾳδίως φεροµένην, τὴν δ ἱδρυµένην ἐν ἤθει βεβαίῳ καὶ πρὸς τὸ δίκαιον ἀτενῆ, ψεῦδος δὲ καὶ βωµολοχίαν καὶ ἀπάτην οὐδ ἐν παιδιᾶς τινι τρόπῳ προσιεµένην. Some writers say that these two, even when they were children and pupils together, invariably opposed each other in their words and actions, not only in serious matters but even in play, and that this rivalry quickly revealed their respective natures, Themistocles being unscrupulous, resourceful, daring, and ready to dash impetuously into any undertaking, while Aristides was founded upon a steadfast character, which was intent on justice and incapable of any falsehood, vulgarity, or trickery even in jest. 7 Arist. 2.1; for Cleisthenes as Aristides political tutor, see also Mor. 791A and 805F. 8 See Marincola (2010) 134 5; this linkage of leaders, of course, goes back at least to Ath. Pol ; on Aristides place there see Rhodes (1981) Sympathy for Sparta was a mark of Athenian conservative statesmen (Levi (1955) 61 2), but the unlikely joining of Cleisthenes the democrat with Lycurgus may be meant to illustrate that Aristides was above party (see below). 10 The joining of the two is already evident in the contemporary poem of Timocreon of Rhodes (PMG 727 = Plut. Them. 21.4). Pelling (2002) 302 points out that Stesimbrotus of Thasos (not cited in the Arist. but cited several times in the Them.) was much interested in the childhoods of Themistocles, Cimon, and Pericles: might he have been the one to retroject their later political differences onto their youth?

4 94 John Marincola The fixedness of Aristides is, of course, meant to contrast with the wiliness and adaptability of Themistocles, which, while somewhat admired in the Themistocles, is clearly out of place in the Aristides. In addition, the avoidance of deception, chicanery and deceit on the part of Aristides marks him out as a politician who will not engage in the kinds of actions that most politicians must follow if they are to remain in the good graces of the people. Separate, but related, to this are the remarks later is Plutarch s observation that Aristides refused to join any political party (Arist. 2.6): Ἀριστείδης δὲ καθ ἑαυτὸν ὥσπερ ὁδὸν ἰδίαν ἐβάδιζε διὰ τῆς πολιτείας, πρῶτον µὲν οὐ βουλόµενος συναδικεῖν τοῖς ἑταίροις ἢ λυπηρὸς εἶναι µὴ χαριζόµενος, ἔπειτα τὴν ἀπὸ τῶν φίλων δύναµιν οὐκ ὀλίγους ἰδὼν ἐπαίρουσαν ἀδικεῖν ἐφυλάττετο, µόνῳ τῷ χρηστὰ καὶ δίκαια πράττειν καὶ λέγειν ἀξιῶν θαρρεῖν τὸν ἀγαθὸν πολίτην. Aristides, by contrast, avoided any attachments in political life and chose to follow his own path. This was, in the first place, because he did not want to be drawn by political associates into committing injustices, nor again to vex them by denying their requests, and, secondly, because he saw that many men were encouraged to do wrong by the power they derived from their friends, and he was anxious to guard against this, believing as he did that the only true security for the good citizen lay in words and actions that were right and just. Aristides commitment to doing and saying what is right and just suggests that in a very important sense he transcends party politics, and this gives him a vantage point denied to all the others, Themistocles included: Aristides is in the system but not of it. This vantage point, as will become clear in the narrative of the Persian Wars, is absolutely essential in allowing Aristides to see beyond the petty squabbles of the various leaders and city-states and focus instead on the most important goal, that of the unity of the Greeks in their common effort of defeating the Persians. To the extent that Aristides enters the rough and tumble word of politics, he does so because he is compelled (ἠναγκάζετο, 3.1) in order to check the power of Themistocles and to protect himself as well, since Themistocles, Plutarch tells us, was working against Aristides in every way. Yet even here, Aristides already is portrayed as someone for whom the greater good was more important than a personal victory. Plutarch gives a series of illustrations of this: for example, Aristides makes a witty remark that recognises the corrosive nature of his enmity with Themistocles, and Plutarch says that Aristides once withdrew his own proposal before the people when he recognised that it would not be good for the city; he even on several occasions had

5 The Fairest Victor: Plutarch, Aristides and the Persian Wars 95 his own proposal introduced in someone else s name, so that Themistocles would not be automatically opposed to it (Arist ). Plutarch emphasises that Aristides conducted himself in public life in the cause of justice not only without favouritism and partisanship but also without vengefulness or personal enmity (οὐ µόνον δὲ πρὸς εὔνοιαν καὶ χάριν, ἀλλὰ καὶ πρὸς ὀργὴν καὶ πρὸς ἔχθραν, 4.1). His great virtue was his εὐστάθεια, his steadfastness and self-control, which meant that he was not elated in success nor depressed in failure. He did not see his public service as enriching himself or increasing his renown (3.4): καὶ ὁµοίως ἡγουµένου χρῆναι τῇ πατρίδι παρέχειν ἑαυτὸν οὐ χρηµάτων µόνον, ἀλλὰ καὶ δόξης προῖκα καὶ ἀµισθὶ πολιτευόµενον. and he believed it his duty to give his services to his country at all times freely and without reward, not merely in terms of money, but also of reputation. These three chapters, then, brief though they are, set the stage: Aristides is fixed, resolute, a fighter on behalf of justice, beyond party, incorruptible, not beholden to personal vendetta or vengefulness and equally inoculated against favouritism and partisanship. These characteristics will all play out in Aristides performances in the great battles of the Persian Wars. II We begin with Marathon. Plutarch says that at the time of Marathon, Miltiades was the general held in the greatest renown, while Aristides was second in reputation and influence. 11 Before the battle, the ten generals are portrayed, as in Herodotus, as divided in their counsels, but Aristides shared Miltiades view of the situation, and so (5.2): ὡς περιῆλθεν εἰς αὐτὸν ἡ ἀρχή, παρέδωκε Μιλτιάδῃ, διδάσκων τοὺς συνάρχοντας ὅτι τὸ πείθεσθαι καὶ ἀκολουθεῖν τοῖς εὖ φρονοῦσιν οὐκ αἰσχρόν, ἀλλὰ σεµνόν ἐστι καὶ σωτήριον. when Aristides turn arrived, he handed over his authority to Miltiades, thereby demonstrating to his colleagues that it is both salu- 11 Plut. Arist. 5.1: µέγιστον µὲν εἶχεν ἀξίωµα Μιλτιάδης, δόξῃ δὲ καὶ δυνάµει δεύτερος ἦν Ἀριστίδης.

6 96 John Marincola tary and dignified and certainly no disgrace to obey and follow those who are best qualified to command. Aristides action causes each of the other generals immediately to entrust their commands to Miltiades; and in this way the winning strategy carried the day. 12 In doing so Aristides allayed their contentiousness (πραΰνας τὴν φιλονικίαν, 5.3) and inspired them to pursue a single, advantageous policy, and thereafter each of the generals no longer agreed to hold the daily command but treated Miltiades as their commander. The role of teacher (διδάσκων) is one that we shall see recur at Plataea. There is only a very short vignette of the battle itself, where Plutarch says that the Athenian centre was hardest pressed, and that this part of the line was held by the tribes Leontis and Antiochis. It was there, he notes, that Themistocles and Aristides fought brilliantly side-by-side (ἠγωνίσαντο λαµπρῶς, 5.4) since one was a Leontid, the other an Antiochid. 13 Only Plutarch puts both men at Marathon, and while almost certainly not historical, the appearance of Aristides here presages the cooperation between him and Themistocles at Salamis, and in much the same way: a second in command, Aristides inevitably both recognises the right policy and proves to be crucial in ensuring that that policy prevails. One final note: after the battle, when the rest of the Athenians hurry off to Athens to save the city from the Persian fleet which is sailing there, Aristides tribe is left behind to guard the prisoners and booty. Not surprisingly, and in keeping with everything we know of him up to this point, Aristides displays perfect integrity of character, neither himself taking any of the booty nor allowing anyone else to do so In Table Talk 628E Glaucius follows the Herodotean line ( ) that it was Callimachus who was most responsible after Miltiades for the victory. Strictly speaking, Plutarch s account in the Aristides is not in contradiction with that of Herodotus, since Herodotus says only that Miltiades won from Callimachus approval for his strategy of quick attack; one can imagine that, since Herodotus says that all the generals on their particular day handed over their command to Miltiades once this decision had been made, Plutarch envisioned Aristides as going first and thus showing the way. But the spirit of Plutarch s account seems rather different from that of Herodotus. 13 Arist. 5.4: ἐν δὲ τῇ µάχῃ µάλιστα τῶν Ἀθηναίων τοῦ µέσου πονήσαντος καὶ πλεῖστον ἐνταῦθα τῶν βαρβάρων χρόνον ἀντερεισάντων κατὰ τὴν Λεωντίδα καὶ τὴν Ἀντιοχίδα φυλήν, ἠγωνίσαντο λαµπρῶς τεταγµένοι παρ ἀλλήλους ὅ τε Θεµιστοκλῆς καὶ ὁ Ἀριστείδης. 14 Arist. 5.6: ἐν δὲ Μαραθῶνι µετὰ τῆς ἑαυτοῦ φυλῆς Ἀριστείδης ἀπολειφθεὶς φύλαξ τῶν αἰχµαλώτων καὶ τῶν λαφύρων οὐκ ἐψεύσατο τὴν δόξαν, ἀλλὰ χύδην µὲν ἀργύρου καὶ χρυσοῦ παρόντος, ἐσθῆτος δὲ παντοδαπῆς καὶ χρηµάτων ἄλλων ἀµυθήτων ἐν ταῖς σκηναῖς καὶ τοῖς ἡλωκόσι σκάφεσιν ὑπαρχόντων, οὔτ αὐτὸς ἐπεθύµησε θιγεῖν οὔτ ἄλλον εἴασε, πλὴν εἴ τινες ἐκεῖνον λαθόντες ὠφελήθησαν. One wonders whether Aristides self-restraint here is meant

7 The Fairest Victor: Plutarch, Aristides and the Persian Wars 97 III For the battle of Salamis we have both the Themistocles and the Aristides, and, not surprisingly, there are some differences between the two. 15 Before Salamis Aristides is in exile, having been ostracised, and Plutarch notes that although some suspected that he might collude with the Persians, in fact during his whole time in exile he kept urging the Hellenes to win their freedom. 16 Aristides, then, was recalled and here Plutarch notes that he assisted Themistocles, who had been chosen στρατηγὸς αὐτοκράτωρ, and gave him all the aid he could both in advice and in action, and he helped his bitterest enemy to become the most famous of men, and he did this, Plutarch explains, for the sake of the safety of all. 17 This action of Aristides points to an important aspect of Aristides character, one that has already been hinted at, namely, his lack of concern with his own interests and honours where the public good was at stake. The circumstances surrounding the battle are told somewhat differently in each life. In the Themistocles, Themistocles sends the false message to Xerxes that the Greeks are intending to sail away, as a result of which the King gives orders for his fleet to surround the Greeks. Aristides is the first to perceive the situation, and comes to the tent of Themistocles with the information that the Greeks are surrounded. Themistocles admires Aristides καλοκαγαθία, especially since they are enemies, and he asks Aristides to use the greater credit he has with the leading men to help him persuade the Greeks to do battle in the narrows. Aristides, in turn, praises Themistocles for his stratagem and he goes to the other generals to incite them to battle. 18 In the Aristides we are not told the circumstances by which the Greeks are encircled, only that they are, and that Eurybiades was planning to sail to parallel that of Pausanias after the victory at Plataea, which Herodotus had highlighted: see Hdt with Flower and Marincola (2002) ad loc. 15 Cf. Duff (2011a) 73 4 on the way that the Parallel Lives as a whole offer multiple presentations of the same periods from very different angles In fact the whole collection of Parallel Lives can be regarded as a fabric of overlapping narratives, each presenting history from a slightly different angle 16 Arist. 8.1: ὅς [sc. Ἀριστείδης] γε καὶ πρὸ τοῦ δόγµατος τούτου διετέλει προτρέπων καὶ παροξύνων τοὺς Ἕλληνας ἐπὶ τὴν ἐλευθερίαν, κτλ. 17 Arist. 8.1: Θεµιστοκλέους στρατηγοῦντος αὐτοκράτορος, πάντα συνέπραττε καὶ συνεβούλευεν, ἐνδοξότατον ἐπὶ σωτηρίᾳ κοινῇ ποιῶν τὸν ἔχθιστον. 18 Themist : ὁ δὲ τήν τ ἄλλην καλοκαγαθίαν τοῦ ἀνδρὸς εἰδὼς καὶ τῆς τότε παρουσίας ἀγάµενος λέγει τὰ περὶ τὸν Σίκιννον αὐτῷ καὶ παρεκάλει τῶν Ἑλλήνων συνεπιλαµβάνεσθαι καὶ συµπροθυµεῖσθαι πίστιν ἔχοντα µαλλον, ὅπως ἐν τοῖς στενοῖς ναυµαχήσωσιν. ὁ µὲν οὖν Ἀριστείδης ἐπαινέσας τὸν Θεµιστοκλέα τοὺς ἄλλους ἐπῄει στρατηγοὺς καὶ τριηράρχους, ἐπὶ τὴν µάχην παροξύνων.

8 98 John Marincola away. Aristides is the first to realise the situation, and, although on Aegina, he runs the risk of sailing through the Persian line without regard for his personal safety (παραβόλως, 8.2) in order to bring the message to the Greeks. He goes immediately by night to Themistocles tent and calls him forth alone, and he gives a speech in which he urges Themistocles to join him, rather than the other way around as in the Themistocles (Arist ): εἰ σωφρονοῦµεν, ἤδη τὴν κενὴν καὶ µειρακιώδη στάσιν ἀφέντες ἀρξώµεθα σωτηρίου καὶ καλῆς φιλονικίας πρὸς ἀλλήλους, ἁµιλλώµενοι σῶσαι τὴν Ελλάδα, σὺ µὲν ἄρχων καὶ στρατηγῶν, ἐγὼ δ ὑπούργων καὶ συµβουλεύων ἐπεὶ καὶ νῦν σε πυνθάνοµαι µόνον ἅπτεσθαι τῶν ἀρίστων λογισµῶν, κτλ. If we have any sense, let us now stop this vain and childish feud of ours, and begin a more honourable kind of contest to save Greece, with yourself in command and with me to advise and help you. I see already that you are the only man who has grasped what is the best course for us, etc. Themistocles responds equally nobly (Arist. 8.5): οὐκ ἂν ἐβουλόµην ὦ Ἀριστείδη σε κατὰ τοῦτο κρείσσονά µου γενέσθαι, πειράσοµαι δὲ πρὸς καλὴν ἀρχὴν ἁµιλλόµενος ὑπερβαλέσθαι τοῖς ἔργοις. I would not have chosen to be outdone by you, Aristides. But I admire the example you have set me and I shall try to follow it and to exceed it in my deeds. It is at this point that he tells Aristides of his trick against the Persians, and then asks Aristides to use his influence and to persuade Eurybiades that they could not prevail without a battle at sea, which Aristides does in the ensuing council of war. The minor differences between the two accounts ought not to obscure the fact that the accounts largely agree, and that in each one the role of Aristides is the same. (That this is spelled out at greater length in the Aristides is, of course, not surprising.) In each account one can see echoes of Aristides behaviour at Marathon. Just as at Marathon Aristides threw in his lot with Miltiades, so likewise at Salamis he uses his influence to advance the plan of Themistocles, which he recognises as offering the best hope of victory. He even clearly states his secondary role as advisor with the words σὺ µὲν ἄρχων καὶ στρατηγῶν, ἐγὼ δ ὑπούργων καὶ συµβουλεύων, and, as we have seen, he counsels an end to their personal differences that had gone back to

9 The Fairest Victor: Plutarch, Aristides and the Persian Wars 99 childhood. 19 His extraordinary actions then elicit from Themistocles equally noble sentiments, both leaders rising to the occasion and offering Plutarch the opportunity to accentuate the common effort made by the great statesmen who united against the common enemy. Indeed for Salamis one might say that the enemy is two-fold: on the one hand, the Persians themselves, of course; but, on the other hand, the rest of the Greeks with their wrongheaded strategy. Aristides selfless commitment to what was right, already seen in incidents that now seem trivial by comparison, is able at the great testing time of the Greek world to have profound consequences on the entire course of history. Now much of this, of course, is based on Herodotus, who likewise has Aristides sail through the Persian lines to his own peril and then call Themistocles forth from his tent. Herodotus too comments on the fact that Aristides and Themistocles were enemies, and he also gives him a speech in which he urges an end to their political differences ( ): συνεστηκότων δὲ τῶν στρατηγῶν, ἐξ Αἰγίνης διέβη Ἀριστείδης ὁ Λυσι- µάχου, οὗτος ὡνὴρ στὰς ἐπὶ τὸ συνέδριον ἐξεκαλέετο Θεµιστοκλέα, ἐόντα µὲν ἑωυτῷ οὐ φίλον ἐχθρὸν δὲ τὰ µάλιστα ὑπὸ δὲ µεγάθεος τῶν παρεόντων κακῶν λήθην ἐκείνων ποιεύµενος ἐξεκαλέετο, θέλων αὐτῷ συµµεῖξαι προακηκόεε δὲ ὅτι σπεύδοιεν οἱ ἀπὸ Πελοποννήσου ἀνάγειν τὰς νέας πρὸς τὸν Ἰσθµόν. ὡς δὲ ἐξῆλθέ οἱ Θεµιστοκλέης, ἔλεγε Ἀριστείδης τάδε. ἡµέας στασιάζειν χρεόν ἐστι ἔν τε τῷ ἄλλῳ καιρῷ καὶ δὴ καὶ ἐν τῷδε περὶ τοῦ ὁκότερος ἡµέων πλέω ἀγαθὰ τὴν πατρίδα ἐργάσεται. λέγω δέ τοι ὅτι ἴσον ἐστὶ πολλά τε καὶ ὀλίγα λέγειν περὶ ἀποπλόου τοῦ ἐνθεῦτεν Πελοποννησίοισι. ἐγὼ γὰρ αὐτόπτης τοι λέγω γενόµενος ὅτι νῦν οὐδ ἢν θέλωσι Κορίνθιοί τε καὶ αὐτὸς Εὐρυβιάδης οἷοί τε ἔσονται ἐκπλῶσαι περιεχόµεθα γὰρ ὑπὸ τῶν πολεµίων κύκλῳ. ἀλλ ἐσελθών σφι ταῦτα σήµηνον. While the generals dispute was still at its height, Aristides came over in a boat from Aegina. Arrived at Salamis, Aristides went to where the conference was being held and, standing outside, called for Themistocles. Themistocles was no friend of his; indeed he was his most determined enemy; but Aristides was willing, in view of the magnitude of the danger which threatened them, to forget old quarrels in his desire to communicate with him. He was already aware of the anxiety of the Peloponnesian commanders to withdraw to the Isthmus; as soon, therefore, as Themistocles came out of the conference in answer to his 19 One wonders whether τὴν µειρακιώδη στάσιν is an oblique reference to their original quarrel over the µειράκιον Stesilaus.

10 100 John Marincola call, he said, At this moment, more than ever before, you and I should be rivals to see which of us can do most good to our country. First, let me tell you that the Peloponnesians may talk as much or as little as they please about withdrawing from Salamis it will make not the least difference. What I tell you, I have seen with my own eyes: they cannot now get out of here, however much the Corinthians or Eurybiades himself may wish to do so, because our surrounded. So go in and tell them that. Yet although there are clear similarities here to Plutarch s account, the differences, while subtle, are important. First, whereas in Herodotus Aristides says that they should be rivals to see who can do more good for their country, in Plutarch Aristides emphasises that now they must end their rivalry. 20 Second, Herodotus says that Aristides was willing to forget their previous rivalry in view of the gravity of the situation, whereas in Plutarch Aristides tries actively to move Themistocles beyond their rivalry, towards a better and more cooperative behaviour. Third, there is no suggestion in Herodotus that Aristides envisions himself as a counsellor only to Themistocles, willing to take a back seat while Themistocles runs the show; indeed, his suggestion that they be rivals in striving to do good for their country suggests that Aristides envisions himself as Themistocles equal. 21 Finally, Themistocles in Herodotus does not respond with any kind of noble sentiment suggesting that he has taken up Aristides call to better behaviour; on the contrary, he is delighted only because Aristides confirms that the situation engineered by himself has been successful (Hdt ). When we turn to the battle itself, the Themistocles proceeds in one way, the Aristides in another. The former has the spotlight clearly on Themistocles and the naval battle, and Aristides does not feature here at all. By contrast, in the Aristides, again in keeping with the focus on the subject himself, Aristides takes a more active role. In this case he sees that the island of Psyttaleia is full of Persians, so he takes the most ardent and warlike of the citizens and makes a landing, joins battle with the barbarians, and slays them all, 20 See Stadter s excellent treatment (2011) of competition in the Lives; he notes in particular that Aristides competitive nature develops in a positive direction, and his suggestion to Themistocles here is still between two politicians, but the motive is not personal honour or anger, but the freedom of Greece (250 1). 21 This division of labour, so to speak, may have been inspired by the Aristotelian Athenaion Politeia, which calls both Aristides and Themistocles προστάται τοῦ δήµου κατὰ τούτους τοὺς καιρούς and notes ὁ µὲν τὰ πολέµια ἀσκῶν, ὁ δὲ τὰ πολιτικὰ δεινὸς εἶναι <δοκῶν> (AP 23.3). For the (at times contradictory) portrait of Aristides in the Ath. Pol. both Themistocles rival and his ally see Rhodes (1981) 292 3, Plutarch may have been inspired by such treatment to give Aristides a similar dual role.

11 The Fairest Victor: Plutarch, Aristides and the Persian Wars 101 save for a few distinguished men who are taken alive. So far this is nothing more than a slight expansion of Herodotus brief account of Aristides actions in the battle (8.95). Plutarch, however, adds another aspect (9.3 4): τὴν δὲ νησῖδα τοῖς ὅπλοις πανταχόθεν ὁ Ἀριστείδης περιστέψας ἐφήδρευε τοῖς ἐκφεροµένοις πρὸς αὐτήν, ὡς µήτε τῶν φίλων τινὰ διαφθαρῆναι µήτε τῶν πολεµίων διαφυγεῖν. ὁ γὰρ πλεῖστος ὠθισµὸς τῶν νεῶν καὶ τῆς µάχης τὸ καρτερώτατον ἔοικε περὶ τὸν τόπον ἐκεῖνον γενέσθαι διὸ καὶ τρόπαιον ἕστηκεν ἐν τῇ Ψυτταλείᾳ. Aristides then lined the beaches of the island all round with his infantry, to watch for anybody who might be washed up, so that none of the Greeks should lose their lives and none of the Persians escape. Indeed, the main clash between the two fleets and the heaviest fighting of the whole battle seems to have taken place near this spot, and for this reason the trophy stands on Psyttaleia. In Plutarch s reconstruction, Aristides on Psytalleia becomes an integral part of the naval battle in a way that he is not in Herodotus account. 22 This is emphasised by the remark that the greater part of the naval engagement took place there just as at Marathon the greatest fighting took place where Aristides was stationed and confirmed by the observation that this is where the trophy was set up. 23 There are some slight differences as well in the accounts of Themistocles plan after the battle to attack the Persians by destroying the bridges at the Hellespont and penning them up within Europe. In the Themistocles he confides in Aristides, who makes an impassioned speech explaining that they should do everything they can to get the Persians out of Greece. In the Aristides, Aristides cries out aloud and is given a short speech in indirect discourse. Despite these small differences, Themistocles in each case immediately accedes to Aristides idea, and says that the best thing would be to get the Persians out of Europe as quickly as possible Herodotus mentions him after the main narrative of the naval action (8.95) and says only that he and the Athenians with him killed the Persians who had been stationed on the island. 23 There has been much controversy over this trophy on Psyttaleia, but a full survey of bibliography would serve little purpose here; for representative divergent views see Fornara (1966) and Wallace (1969). Plutarch s use of ἕστηκεν ( stands ) suggests autopsy, though it cannot, of course, guarantee it. 24 Themist ; Arist

12 102 John Marincola In the winter between Salamis and Plataea, Mardonius, acting for Xerxes, offers, as in Herodotus, to give the Athenians special treatment if they will come over to the Persian side; as in Herodotus, the Spartans hear this and are alarmed and send a delegation to Athens offering to assist the Athenians. Whereas in Herodotus all of this is the work of unnamed Athenians and Spartans, in Plutarch it is Aristides who puts forward a decree and gives an admirable response (ἀπεκρίναντο θαυµαστὴν ἀπόκρισιν, 10.4) to the Spartans in which he extols Athenian valour and dedication, while to the men sent by Mardonius he gives the Herodotean speech about Athenian resolve remaining the same so long as the sun keeps its present course. 25 In the spring, Plutarch says that Aristides went to Sparta to urge the Spartans to send men to Boeotia, although having narrated an account of Aristides actions at Sparta, he then says that according to the decree that Aristides himself proposed, Aristides was not one of the ambassadors who went on this trip. 26 IV It is at Plataea that Aristides finally comes into his own. He is now the commander-in-chief of the Athenians, and no longer a second in command who must play the role of counsellor to the man of action. At the same time, however, Plutarch was aware that Plataea was a Spartan victory even Aeschylus had had to admit that and Pausanias, not Aristides, was commander-in-chief of the Greek forces. Thus the Athenians could not play the leading role against the Persians in this battle, and Aristides was again consigned to the position of second-in-command. The challenge, then, was to carve out a place for Aristides and the Athenian actions in the battle, and give both a role in the overall victory, a victory that Herodotus after all had called the fairest of all those of which we know (9.64.1). Plutarch was aware that although named by Herodotus as general of the Athenians at Plataea (9.28.6), Aristides played no role at all in Herodotus account of the actual battle. Plutarch, therefore, decided (or will have found in his sources) that those events in Herodotus attributed to the Athenians without further 25 Arist ~ Hdt Plutarch has omitted Herodotus middle-man, Alexander of Macedon, in this incident no doubt because he did not wish to countenance the belief that the Macedonians had taken the side of the Persians; and he may have thought such behaviour contradicted by Alexander s later secret message to the Greeks before the Persian attack (15.3 5). 26 Sansone (1989) points out that the story, probably taken from Idomeneus of Lampsacus, is meant to demonstrate Aristides straightforward character in contrast with the well-known post-war duplicity of Themistocles at Sparta.

13 The Fairest Victor: Plutarch, Aristides and the Persian Wars 103 specification were actually those of Aristides himself or those done on his orders. 27 Even so, Plutarch follows Herodotus account rather closely, adding details or putting a particular interpretation on this or that incident. 28 This is supplemented, however, with a number of actions not known from Herodotus (or elsewhere, in some cases) but which are likely to have come to Plutarch through local histories or earlier biographies which treated Aristides. Plutarch notes that the Spartans and the Greeks in general had as their diviner Teisamenos of Elis, who had forecast victory if the Greeks did not begin the hostilities (Arist ~ Hdt. 9.36), but he then adds that Aristides sent to Delphi from which he received a response indicating where the battle should take place, and Plutarch then tells the story of how the Athenians and Plataeans finally figured out where the right spot was. Plutarch includes here a Plataean general, Arimnestus (a figure known from Herodotus), 29 who has a dream in which Zeus Soter appears to him. The incident culminates in a grand gesture by the Plataeans, whereby they move their boundary stones so that, in accordance with the oracles, the contest for the freedom of Greece might take place in the Athenians own territory (Arist. 11.8), and Plutarch rounds this story off with an analepsis to the time of Alexander the Great, who rewarded the Plataeans for their heroism and unselfishness. The origins of this story cannot now be known, 30 but it is clear that Plutarch wishes to set up a significant role for the Athenians here, who have their own connection to Delphi, receive an all-important prophecy about where the actual battle is to take place, 31 and can then claim that the battle took place in their own territory. 27 This is a common technique in Plutarch s work: see Russell (1966) That Herodotus is Plutarch s main source for most of the incidents at Plataea in the Aristides is clear from a comparison with Diodorus ( ). Diodorus account has nothing about the delay due to the seers prophecies, nothing of secret messages by night, nor of the Spartan delay while the Persians attack; instead, the Greeks throughout are the initiators of action (see, e.g., ; on Diodorus sources for these events see Haillet (2001) x-xi, xvii-xix). It is significant that Plutarch, with a rather more rousing narrative at his disposal, still chose in the main to follow Herodotus. I shall treat Plutarch s rewriting of Herodotus narrative here in a future article See Hdt with Flower and Marincola (2002) ad loc. See Calabi Limentani (1964) 52; Prandi (1985) believes the second part of the prophecy, the site of the plain of Demeter and the yielding of territory to the Athenians, to be authentic. 31 The exact place has an important role in Plutarch: see earlier in the Aristides (10.1), where Mardonius denigrated the naval victory at Salamis and emphasised that the Boeotian plain would be the better indicator of the abilities of Persians and Greeks.

14 104 John Marincola The next incident is known from Herodotus, the struggle over who would hold the left wing opposite the Spartans. The Tegeans rehearse their great deeds (though in Plutarch only in indirect discourse), and this angers the Athenians. Aristides then comes forth and is given a speech in direct discourse (Arist ), largely modelled on the speech of the anonymous Athenians in Herodotus, in which he says to the Spartans that the Athenians will fight wherever they are told to, since behaviour, not position, in battle confers honour (Arist. 12.3): ἥκοµεν γὰρ οὐ τοῖς συµµάχοις στασιάσοντες, ἀλλὰ µαχούµενοι τοῖς πολεµίοις, οὐδ ἐπαινεσόµενοι τοὺς πατέρας, ἀλλ αὑτοὺς ἄνδρας ἀγαθοὺς τῇ Ἑλλάδι παρέξοντες. For we have come not to be at odds with our allies but to fight with our enemy, not to praise our fathers but to show ourselves brave men in the service of Greece. The slightly different emphasis here the Athenians in Herodotus say that they have come not to make speeches but to fight the enemy is crucial for the point Plutarch wishes to make, and the phrase οὐ τοῖς συµµάχοις στασιάζοντες shows Aristides defending the panhellenic ideal. The next incident is again unique to Plutarch. Some men of wealth and nobility hold a clandestine meeting in which they plot to destroy the democracy because they have lost their fortunes in the war and because upstarts now hold positions of power and authority. They were prepared as well, should they fail in this endeavour, to ally with the Persians. Aristides learns of the situation, but realising the delicacy of the situation and the fact that he does not know how many are involved, proceeds with caution. He has eight men arrested, of whom two immediately flee into exile; the remaining six he does not prosecute, because he wishes to give those undetected an opportunity to redeem themselves, and so he tells them that the coming war is a great tribunal in which they can disprove their guilt by showing their good intentions towards their country (Arist ). There has been a good deal of discussion concerning the authenticity of this incident, 32 but the important point for us here is that it affords Plutarch the opportunity to highlight the ability of Aristides to encourage unity amongst the Athenians themselves, just as he reminds the Greeks at large of their duty towards panhellenism. Aristides shows a pragmatic side here as well, in his ability to motivate the 32 See Calabi Limentani (1964) L LI, who gives references to earlier discussions; Harvey (1984); Sansone

15 The Fairest Victor: Plutarch, Aristides and the Persian Wars 105 men who only just before had been plotting against the state to now go and fight on behalf of that state. 33 The bravery of the Athenians is again on display in the next incident. When the Megarians are hard pressed by the Persians and send to Pausanias for help, all the other Greeks hesitate, but Aristides undertook the mission in the name of the Athenians, dispatching Olympiodorus and three hundred of the elite corps, who then beat back the Persians and kill the handsome Masistius (Arist ). This is largely based on Herodotus (9.20 4), with Aristides substituting for the Athenians, 34 as happens also in the next incident, where Alexander of Macedon comes by night to give the message that the Persians will attack in the morning, and he asks to speak specifically to Aristides (in Herodotus it is simply the Athenian commanders ). 35 Then follows the odd incident whereby Pausanias wishes the Athenians to switch wings with the Spartans. In Herodotus Pausanias tells the Athenians that their superior knowledge of the Persians is the motivating factor for his wish to place them opposite the Persians and the Athenians gladly accept. In Plutarch, by contrast, the Athenians react angrily to Pausanias proposal, grumbling that they are being treated like helots and that they will face the greater onslaught against the Persians. It is Aristides who must recall them to their earlier desire to display their bravery, telling them that they are failing to see the singular honour involved here and that they can now face off against the barbarians rather than fellow Greeks. The Athenians are thus won over, and with eager hearts look forward to the battle. 36 For the battle itself Plutarch gives many of the incidents as in Herodotus, with some additions here and there, but following generally Herodotus approach. The only matter not to be found in Herodotus concerns Aristides and the medising Greeks. When word comes to the Athenians that the battle has begun and they seek to go to the aid of the Spartans, they are blocked by the Greeks, especially the Thebans, who are allies of the Persians. Aristides reaction is swift and decisive (Arist. 18.6): 33 Cf. Calabi Limentani (1964) 58: la condotta di A. appare qui improntata a una astuzia che non gli è caratteristica; preferire l utile al giusto. 34 Diod also names Aristides as the one sending the corps of Athenians to the Megarians aid, but the context is entirely different: the incident occurs during a night battle in which each of the Greek contingents defeat the barbarians opposed to them except for the Megarians who faced the best of the cavalry and thus needed reinforcements to defeat them. So it is clear that Diodorus or his source play no role in Plutarch s reconstruction. 35 Arist ~ Hdt Arist ~ Hdt

16 106 John Marincola Ἀριστείδης δὲ πρῶτον µέν, ὡς εἶδε, πολὺ προελθὼν ἐβόα, µαρτυρόµενος Ἑλληνίους θεούς, ἀπέχεσθαι µάχης καὶ µὴ σφίσιν ἐµποδὼν εἶναι µηδὲ κωλύειν ἐπαµύνοντας τοῖς προκινδυνεύουσιν ὑπὲρ τῆς Ἑλλάδος, ἐπεὶ δ ἑώρα µὴ προσέχοντας αὐτῷ καὶ συντεταγµένους ἐπὶ τὴν µάχην, οὕτω τῆς ἐκεῖ βοηθείας ἀποτραπόµενος συνέβαλε τούτοις περὶ πεντακισµυρίους οὖσιν. as soon as Aristides caught sight of them, he went on far ahead and called out in a loud voice, appealing to them in the name of the gods of Greece to stay out of the battle and not oppose or hinder those on their way to help men who were risking their lives for the sake of Greece. However, when he saw that they were taking no notice, but had already formed up for battle, he turned aside from the attempt to relieve the Spartans and engaged these men, who numbered some fifty thousand. There is something quite Homeric in Aristides behaviour here, going far ahead and crying out in a loud voice, and his message is one that by now is familiar: Greeks should be united in the face of the Persian threat. And if the medisers cannot renounce the Persians, they could at least not hinder those of the Greeks going to fight against the enemy. The Athenians then finally defeat the Thebans, and join up with the Spartans to assail those who had taken refuge within the walls of their camp, finally expelling them, killing some and putting others to flight (Arist ). The threat of disunity reveals itself again immediately after the successful conclusion of the battle. Plutarch says that the Athenians would not allow the Spartans either to receive the aristeia or to erect a trophy. The Greek cause would have collapsed then and there, he says, in civil strife, had not Aristides exerted himself and taught the same word, διδάσκων, as is used of his action at Marathon his fellow generals that the decision should be referred to the Greeks (Arist. 20.1). When a Megarian proposed that the aristeia be given to some third city and Cleocritus of Corinth proposed Plataea, Aristides immediately agreed on behalf of the Athenians, after which Pausanias agreed on behalf of the Lacedaemonians; thus reconciled, the Greeks awarded the booty and made their dedications to the gods (Arist ). Later, at a general assembly of the Greeks, Aristides proposed that delegates from Greece assemble every year in Plataea and every fourth year

17 The Fairest Victor: Plutarch, Aristides and the Persian Wars 107 games be celebrated, and that a Greek force be levied to prosecute the war against the barbarian (Arist ). 37 At Plataea, therefore, Aristides role, while greater, is of the same nature as before. Although he is given a command and he does perform well in combat, it is off the battlefield that his major influence is felt. He is always on the alert for anything that will destroy the unity of the Athenians or of the Greeks at large, and he constantly reminds all parties of the greater good to which they should be committed. As at Marathon, where he gave up his command to Miltiades, and as at Salamis, where he worked together with his bitterest enemy, Themistocles, so too at Plataea Aristides considers first and foremost not his own glory or power, but rather that of the Greek cause itself, and if that requires him or the Athenians at times to take a subservient role, so be it: as he himself says, it is behaviour that brings renown. V Aristides is thus a very busy man according to Plutarch s account of the Persian Wars, having a hand in all of the major business of the three great Greek victories. He plays nowhere near so important a role in Herodotus nor indeed even in Diodorus, whose account may reflect Ephorus. 38 Whence, then, comes the importance of Aristides for Plutarch? The answer or, perhaps to be more accurate, one answer is to be found in the Political Precepts, a treatise whose importance for the Lives has long been recognised by scholars. 39 In this work, addressed to Menemachus of Sardis and, by extension, all the Greeks of Plutarch s time who were men of importance in their individual city-states, Plutarch goes through a number of things that make for successful governing in a Greece ruled by Rome. He emphasises, for example, that the ruler must learn the nature of the people he rules (Praec. Ger. 3, 799B C): τρέπεσθαι χρὴ πρὸς κατανόησιν τοῦ ἤθους τῶν πολιτῶν, ὃ µάλιστα συγκραθὲν ἐκ πάντων ἐπιφαίνεται καὶ ἰσχύει. 37 Like several of the incidents in this Life, the authenticity of this one has been disputed: see the references in Calabi Limentani (1964) XXXI XXXII, 89, and Sansone (1989) See above, n. 28. On the Praecepta see the editions of Valgiglio (1976) and Caiazza (1993); there is a great deal of scholarship on the work: I have found most helpful Jones (1971) ; Carrière (1977); Swain (1996) ; Duff (1999) 293 8; and Desideri (2011).

18 108 John Marincola statesmen must apply themselves to the understanding of the character of the citizens, which shows itself as in the highest degree a compound of all their individual characters and is powerful. The leader must then not ape the people s character but use his knowledge in such a way that he can lead the people towards right behaviour both by the force of his character and by persuasion (Praec. Ger. 3-4, 800A B): τῷ δὲ πολιτικῷ µιµεῖσθαι µὲν οὐ προσήκει τοῦ δῆµου τὸν τρόπον, ἐπίστασθαι δὲ καὶ χρῆσθαι πρὸς ἕκαστον, οἷς ἁλώσιµός ἐστιν τὸ µὲν οὖν τῶν πολιτῶν ἦθος ἰσχύοντα δεῖ καὶ πιστευόµενον ἤδη πειρᾶσθαι ῥυθµίζειν ἀτρέµα πρὸς τὸ βέλτιον ὑπάγοντα καὶ πράῳς µεταχειριζόµενον ἐργώδης γὰρ ἡ µετάθεσις τῶν πολλῶν. For the statesman it is fitting not to imitate the character of his people, but to understand it and to employ for each type those means by which it can be brought under his control. So, then, the statesman who already has attained to power and won the people s confidence should try to train the character of the citizens, leading them gently towards that which is better and treating them with mildness; for it is a difficult task to change the multitude. And in this enterprise, oratory plays an important role, for speech is not the creator of persuasion but its co-worker (µὴ δηµιουργὸν ἀλλά τοι συνεργὸν εἶναι πειθοῦς, Praec. Ger. 5, 801C). Overriding everything, however, in the Political Precepts are the notions of harmony and freedom from strife. This harmony and concord is, not coincidentally, the most characteristic feature of Plutarch s portrayal of the Persian Wars, and it manifests itself in three different ways: first, harmony amongst the members of the ruling elite; second, harmony between leaders and the common people; and third, pan-hellenic harmony, the united Greek front of individual city-states against Persia. Aristides is key to all three. 40 He is the model of elite co-operation: we noted at the outset his willingness to yield the command to Miltiades at Marathon, and his cooperation with Themistocles is of the utmost importance to the victory at Salamis, as well as to the good deliberations that preceded and followed the battle. He is respected and obeyed by the people be- 40 This is not to say, however, that only he exhibits the ability to instil harmony: note Them. 6.5 where Themistocles greatest contribution to the war effort was his reconciliation of the Greek cities to the cause, or Them. 11.1, where Themistocles engineers the recall of Aristides from ostracism because of the importance of the struggle before them.

19 The Fairest Victor: Plutarch, Aristides and the Persian Wars 109 cause of his intrinsic qualities: he persuades the troops out of their anger and frustration not once but twice, and is able to channel their dissatisfaction with others into effort and behaviour that makes them fight to the best of their ability in battle. Even his attempt to persuade the medising Greeks not to attack the forces going to Pausanias aid, though it is a failure, nevertheless shows the responsible leadership that was, Plutarch suggests, characteristic of the Greek victory over Persia. Finally, Aristides is the force behind common Hellenic striving both at Salamis (where his authority persuades the rest of the Greeks, many of whom distrusted Themistocles) and especially at Plataea, where in the aftermath he brokers a compromise between Athenian and Spartan claims to be best, and then proposes a panhellenic force and festival that will commemorate the great achievements made there. Now it is probably not the case that Plutarch is responsible for the panhellenic cast of the narrative of the Persian Wars; that already appears in Diodorus which very likely goes back to Ephorus. But the emphasis on harmony amongst leaders must certainly be due to Plutarch himself, and this is (again) a theme close to his heart in the Political Precepts. He even uses there the example of Themistocles and Aristides (Praec. Ger. 14, 809B): οἱ µὲν οὖν πολλοὶ τὸν Θεµιστοκλέα καὶ τὸν Ἀριστείδην ἐπαινοῦσιν ἐπὶ τῶν ὅρων τὴν ἔχθραν ἀποτιθεµένους, ὁσάκις ἐπὶ πρεσβείαν ἢ στρατηγίαν ἐξίοιεν, εἶτα πάλιν ἀναλαµβάνοντας. The majority praise Themistocles and Aristides because they laid down their enmity at the frontier whenever they went on an embassy or took up a command, and resumed it only when they returned home. Elsewhere in this work he has harsh words for those in his own time who referred all matters great and small to the Roman governor, thereby forcing him to be more involved in the affairs of the city than he himself wanted; the reason this happens, he says, is especially the greed and ambition of the leading men. 41 Holding office, Plutarch says, is a sacred and serious thing, which the holder must especially respect, and this respect lies in harmony (ὁµοφροσύνη) and friendship (φιλία) with one s colleagues (Praec. Ger. 20, 816A): 41 Praec. Ger. 19, 815A: αἰτία δὲ τούτου µάλιστα πλεονεξία καὶ φιλονικία τῶν πρώτων.

20 110 John Marincola ἱερὸν δὲ χρῆµα καὶ µέγα πᾶσαν ἀρχὴν οὖσαν καὶ ἄρχοντα δεῖ µάλιστα τιµᾶν, τιµὴ δ ἀρχῆς ὁµοφροσύνη καὶ φιλία πρὸς συνάρχοντας πολὺ µᾶλλον ἢ στέφανοι καὶ χλαµὺς περιπόρφυρος. And deeming every public office to be something great and sacred, we must also pay the highest honour to one who holds an office; but the honour of an office resides in concord and friendship with one s colleagues much more than in crowns and a purple-bordered robe. And at the conclusion of the work, Plutarch remarks that there remains for the statesman one thing which is second to none of good things (Praec. Ger. 32, 824D): λείπεται δὴ τῷ πολιτικῷ µόνον ἐκ τῶν ὑποκειµένων ἔργων, ὃ µηδενὸς ἔλαττόν ἐστι τῶν ἀγαθῶν, ὁµόνοιαν ἐµποιεῖν καὶ φιλίαν ἀεὶ τοῖς συνοικοῦσιν, ἔριδας δὲ καὶ διχοφροσύνας καὶ δυσµένειαν ἐξαιρεῖν ἅπασαν. There remains, then, for the statesman, of those activities which fall within his province, only this and it is the equal of any of the other blessings: always to instil concord and friendship in those who dwell together with him and to remove strifes, discords, and all enmity. This ensuring of concord (ὁµονοία) 42 and friendship among one s fellows, and the elimination of all kinds of strife, dissension (διχοφροσύνη) and enmity in political dealings is, for Plutarch, the statesman s highest goal and the thing that brings him more renown than anything else. VI What all of this leads to is a portrait of the Persian-War victories very much in keeping with Plutarch s constant concerns both in the Lives and the Moralia. The war is won not so much on the battlefield as in the hearts and minds of the leaders and combatants. In the Cimon, Plutarch explicitly commends the virtue of the leaders of that time (Cim. 17.9): 42 Cf. Sheppard (1984 6) for the importance of ὁµονοία in Greek cities under the Roman empire.

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

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

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

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

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

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 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

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

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

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

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

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

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

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

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

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

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

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

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

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

Διαβάστε περισσότερα

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 3β: Types of Speeches & Strong Language Ιφιγένεια Μαχίλη Άδειες Χρήσης Το παρόν εκπαιδευτικό υλικό υπόκειται σε άδειες χρήσης Creative

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

ΙΑΤΜΗΜΑΤΙΚΟ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥ ΩΝ ΣΤΗ ΙΟΙΚΗΣΗ ΕΠΙΧΕΙΡΗΣΕΩΝ. ιπλωµατική Εργασία. της ΘΕΟ ΟΣΟΠΟΥΛΟΥ ΕΛΕΝΗΣ ΜΣ:5411

ΙΑΤΜΗΜΑΤΙΚΟ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥ ΩΝ ΣΤΗ ΙΟΙΚΗΣΗ ΕΠΙΧΕΙΡΗΣΕΩΝ. ιπλωµατική Εργασία. της ΘΕΟ ΟΣΟΠΟΥΛΟΥ ΕΛΕΝΗΣ ΜΣ:5411 Παρακίνηση εργαζοµένων: Ο ρόλος του ηγέτη στην παρακίνηση των εργαζοµένων. ΙΑΤΜΗΜΑΤΙΚΟ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥ ΩΝ ΣΤΗ ΙΟΙΚΗΣΗ ΕΠΙΧΕΙΡΗΣΕΩΝ ιπλωµατική Εργασία της ΘΕΟ ΟΣΟΠΟΥΛΟΥ ΕΛΕΝΗΣ ΜΣ:5411 ΠΑΡΑΚΙΝΗΣΗ

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

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

The Simply Typed Lambda Calculus

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

Διαβάστε περισσότερα

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

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

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

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

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

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

Η ΨΥΧΙΑΤΡΙΚΗ - ΨΥΧΟΛΟΓΙΚΗ ΠΡΑΓΜΑΤΟΓΝΩΜΟΣΥΝΗ ΣΤΗΝ ΠΟΙΝΙΚΗ ΔΙΚΗ

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

Διαβάστε περισσότερα

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

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

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

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

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ανοικτά Ακαδημαϊκά Μαθήματα στο ΤΕΙ Ιονίων Νήσων ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ενότητα 3: Phrases to use in business letters and e-mails Το περιεχόμενο του μαθήματος διατίθεται

Διαβάστε περισσότερα

9.09. # 1. Area inside the oval limaçon r = cos θ. To graph, start with θ = 0 so r = 6. Compute dr

9.09. # 1. Area inside the oval limaçon r = cos θ. To graph, start with θ = 0 so r = 6. Compute dr 9.9 #. Area inside the oval limaçon r = + cos. To graph, start with = so r =. Compute d = sin. Interesting points are where d vanishes, or at =,,, etc. For these values of we compute r:,,, and the values

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

«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

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

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

Διαβάστε περισσότερα

Example Sheet 3 Solutions

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

Διαβάστε περισσότερα

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

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

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ανοικτά Ακαδημαϊκά Μαθήματα στο ΤΕΙ Ιονίων Νήσων ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ενότητα 11: The Unreal Past Το περιεχόμενο του μαθήματος διατίθεται με άδεια Creative Commons

Διαβάστε περισσότερα

Assalamu `alaikum wr. wb.

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

Διαβάστε περισσότερα

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

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

ΟΡΟΛΟΓΙΑ - ΞΕΝΗ ΓΛΩΣΣΑ

ΟΡΟΛΟΓΙΑ - ΞΕΝΗ ΓΛΩΣΣΑ ΟΡΟΛΟΓΙΑ - ΞΕΝΗ ΓΛΩΣΣΑ Ενότητα 2: TIPS FOR A SUCCESFULL INTERVIEW Σταυρούλα Ταβουλτζίδου ΜΗΧ/ΚΩΝ ΠΕΡΙΒΑΛ.&ΜΗΧ/ΚΩΝ ΑΝΤΙΡ.ΤΕ-ΜΗΧ/ΚΩΝ ΑΝΤΙΡΡΥΠΑΝΣΗΣ Άδειες Χρήσης Το παρόν εκπαιδευτικό υλικό υπόκειται σε άδειες

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

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

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

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

ΟΙ ΑΞΙΕΣ ΤΗΣ ΖΩΗΣ THE VALUES OF LIFE Η ΥΠΕΥΘΥΝΟΤΗΤΑ..THE RESPONSIBILITY ΔΗΜΗΤΡΑ ΚΩΝΣΤΑΝΤΙΝΟΥ

ΟΙ ΑΞΙΕΣ ΤΗΣ ΖΩΗΣ THE VALUES OF LIFE Η ΥΠΕΥΘΥΝΟΤΗΤΑ..THE RESPONSIBILITY ΔΗΜΗΤΡΑ ΚΩΝΣΤΑΝΤΙΝΟΥ ΟΙ ΑΞΙΕΣ ΤΗΣ ΖΩΗΣ THE VALUES OF LIFE Η ΥΠΕΥΘΥΝΟΤΗΤΑ..THE RESPONSIBILITY ΔΗΜΗΤΡΑ ΚΩΝΣΤΑΝΤΙΝΟΥ ΜΑΘΗΜΑΤΑ ΥΠΕΥΘΥΝΟΤΗΤΑΣ/ LESSONS ABOUT RESPONSIBILITY Μάθημα 1: Νιώθω υπερήφανος όταν.../ I feel proud when.

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

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

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

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

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

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

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

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

Στο εστιατόριο «ToDokimasesPrinToBgaleisStonKosmo?» έξω από τους δακτυλίους του Κρόνου, οι παραγγελίες γίνονται ηλεκτρονικά.

Στο εστιατόριο «ToDokimasesPrinToBgaleisStonKosmo?» έξω από τους δακτυλίους του Κρόνου, οι παραγγελίες γίνονται ηλεκτρονικά. Διαστημικό εστιατόριο του (Μ)ΑστροΈκτορα Στο εστιατόριο «ToDokimasesPrinToBgaleisStonKosmo?» έξω από τους δακτυλίους του Κρόνου, οι παραγγελίες γίνονται ηλεκτρονικά. Μόλις μια παρέα πελατών κάτσει σε ένα

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

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

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

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

Διαβάστε περισσότερα

ΣΟΡΟΠΤΙΜΙΣΤΡΙΕΣ ΕΛΛΗΝΙΔΕΣ

ΣΟΡΟΠΤΙΜΙΣΤΡΙΕΣ ΕΛΛΗΝΙΔΕΣ ΕΛΛΗΝΙΔΕΣ ΣΟΡΟΠΤΙΜΙΣΤΡΙΕΣ ΕΚΔΟΣΗ ΤΗΣ ΣΟΡΟΠΤΙΜΙΣΤΙΚΗΣ ΕΝΩΣΗΣ ΕΛΛΑΔΟΣ - ΤΕΥΧΟΣ Νο 110 - Δ ΤΡΙΜΗΝΟ 2014 Το πρώτο βραβείο κέρδισε η Ελλάδα για την φωτογραφία Blue + Yellow = Green στον διαγωνισμό 2014 του

Διαβάστε περισσότερα

Πανεπιστήμιο Πειραιώς Τμήμα Πληροφορικής Πρόγραμμα Μεταπτυχιακών Σπουδών «Πληροφορική»

Πανεπιστήμιο Πειραιώς Τμήμα Πληροφορικής Πρόγραμμα Μεταπτυχιακών Σπουδών «Πληροφορική» Πανεπιστήμιο Πειραιώς Τμήμα Πληροφορικής Πρόγραμμα Μεταπτυχιακών Σπουδών «Πληροφορική» Μεταπτυχιακή Διατριβή Τίτλος Διατριβής Επίκαιρα Θέματα Ηλεκτρονικής Διακυβέρνησης Ονοματεπώνυμο Φοιτητή Σταμάτιος

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

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

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

Διαβάστε περισσότερα

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

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ανοικτά Ακαδημαϊκά Μαθήματα στο ΤΕΙ Ιονίων Νήσων ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ενότητα 2: A Business Letter Το περιεχόμενο του μαθήματος διατίθεται με άδεια Creative Commons

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

Block Ciphers Modes. Ramki Thurimella

Block Ciphers Modes. Ramki Thurimella Block Ciphers Modes Ramki Thurimella Only Encryption I.e. messages could be modified Should not assume that nonsensical messages do no harm Always must be combined with authentication 2 Padding Must be

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

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *6301456813* GREEK 0543/03 Paper 3 Speaking Role Play Card One 1 March 30

Διαβάστε περισσότερα

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

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

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

Srednicki Chapter 55

Srednicki Chapter 55 Srednicki Chapter 55 QFT Problems & Solutions A. George August 3, 03 Srednicki 55.. Use equations 55.3-55.0 and A i, A j ] = Π i, Π j ] = 0 (at equal times) to verify equations 55.-55.3. This is our third

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ. Πτυχιακή Εργασία

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ. Πτυχιακή Εργασία ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ Πτυχιακή Εργασία ΣΤΑΣΕΙΣ ΚΑΙ ΣΥΜΠΕΡΙΦΟΡΕΣ ΝΟΣΗΛΕΥΤΩΝ ΚΑΙ ΦΟΙΤΗΤΩΝ ΝΟΣΗΛΕΥΤΙΚΗΣ ΣΕ ΣΧΕΣΗ ΜΕ ΤΟ ΣΤΙΓΜΑΤΙΣΜΟ ΑΣΘΕΝΩΝ ΜΕ HIV Μιλτιάδους Γιώργος Λεμεσός

Διαβάστε περισσότερα

Test Data Management in Practice

Test Data Management in Practice Problems, Concepts, and the Swisscom Test Data Organizer Do you have issues with your legal and compliance department because test environments contain sensitive data outsourcing partners must not see?

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

LESSON 28 (ΜΑΘΗΜΑ ΕΙΚΟΣΙ ΟΚΤΩ) REF : 201/033/28. 2 December 2014

LESSON 28 (ΜΑΘΗΜΑ ΕΙΚΟΣΙ ΟΚΤΩ) REF : 201/033/28. 2 December 2014 LESSON 28 (ΜΑΘΗΜΑ ΕΙΚΟΣΙ ΟΚΤΩ) REF : 201/033/28 2 December 2014 Place/Seat Right (noun) I am right I am not right It matters It does not matter The same (singular) The same (Plural) Η θέση Το δίκιο Έχω

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

Στην παθητική φωνή η έμφαση δίνεται στην πράξη όχι στο ποιος την διέπραξε.

Στην παθητική φωνή η έμφαση δίνεται στην πράξη όχι στο ποιος την διέπραξε. THE PASSIVE VOICE ΠΑΘΗΤΙΚΗ ΦΩΝΗ Στην παθητική φωνή η έμφαση δίνεται στην πράξη όχι στο ποιος την διέπραξε. Είναι επίσης πιθανό είτε κάποιος να αγνοεί το άτομο που έκανε κάτι (το ποιητικό αίτιο agent) είτε

Διαβάστε περισσότερα

Review 4n.1: Vowel stems of the third declension: πόλις, πρέσβυς

Review 4n.1: Vowel stems of the third declension: πόλις, πρέσβυς Review 4n.1: Vowel stems of the third declension: πόλις, πρέσβυς We review side by side a model of stems ending in ι: πόλις, πόλεως, ἡ = city-state and a masculine model of stems ending in υ: πρέσβυς,

Διαβάστε περισσότερα

ICTR 2017 Congress evaluation A. General assessment

ICTR 2017 Congress evaluation A. General assessment ICTR 2017 Congress evaluation A. General assessment -1- B. Content - 2 - - 3 - - 4 - - 5 - C. Speakers/ Presentations/ Sessions - 6 - - 7 - D. Posters/ Poster sessions E. Organisation and coordination

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

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

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

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

Διαβάστε περισσότερα

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

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

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

Terabyte Technology Ltd

Terabyte Technology Ltd Terabyte Technology Ltd is a Web and Graphic design company in Limassol with dedicated staff who will endeavour to deliver the highest quality of work in our field. We offer a range of services such as

Διαβάστε περισσότερα

Door Hinge replacement (Rear Left Door)

Door Hinge replacement (Rear Left Door) Door Hinge replacement (Rear Left Door) We will continue the previous article by replacing the hinges of the rear left hand side door. I will use again the same procedure and means I employed during the

Διαβάστε περισσότερα

ΜΕΤΑΠΤΥΧΙΑΚΗ ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ «ΘΕΜΑ»

ΜΕΤΑΠΤΥΧΙΑΚΗ ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ «ΘΕΜΑ» ΠΑΝΕΠΙΣΤΗΜΙΟ ΑΙΓΑΙΟΥ ΣΧΟΛΗ ΑΝΘΡΩΠΙΣΤΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΤΜΗΜΑ ΕΠΙΣΤΗΜΩΝ ΤΗΣ ΠΡΟΣΧΟΛΙΚΗΣ ΑΓΩΓΗΣ ΚΑΙ ΤΟΥ ΕΚΠΑΙΔΕΥΤΙΚΟΥ ΣΧΕΔΙΑΣΜΟΥ Π.Μ.Σ. «ΠΕΡΙΒΑΛΛΟΝΤΙΚΗ ΕΚΠΑΙΔΕΥΣΗ» ΜΕΤΑΠΤΥΧΙΑΚΗ ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ «ΘΕΜΑ» «Εφαρμογή

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