I Enmity in Attic Forensic oratory as heuristic lens: Lysias 1,4, Against Teisis, Demosthenes 54

Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download "I Enmity in Attic Forensic oratory as heuristic lens: Lysias 1,4, Against Teisis, Demosthenes 54"

Transcript

1 Private enmity as social status in Biblical Law SBL Chicago, Nov 19, 2012 Klaus Peter Adam / Lutheran School of Theology at Chicago I Enmity in Attic Forensic oratory as heuristic lens: Lysias 1,4, Against Teisis, Demosthenes 54 Lysias I: On the death of Eratosthenes; defendant: Euphiletos; Lysias, Attic rhetor B.C. Genre: Greek forensic oration [4] O gentlemen, this is up to me to demonstrate: that Eratosthenes committed adultery with my wife, that he corrupted her that there was no prior enmity between us except for this and that I did not do what I did for the sake of money, to become rich instead of poor, nor for any other reward, except for the vengeance permitted by law. [ ] [4] ὦ ἄνδρες, τοῦτό με δεῖν ἐπιδεῖξαι, ὡς ἐμοίχευεν Ἐρατοσθένης τὴν γυναῖκα τὴν ἐμὴν καὶ ἐκείνην τε διέφθειρε καὶ τοὺς παῖδας τοὺς ἐμοὺς ᾔσχυνε καὶ ἐμὲ αὐτὸν ὕβρισεν εἰς τὴν οἰκίαν τὴν ἐμὴν εἰσιών, καὶ οὔτε ἔχθρα ἐμοὶ καὶ ἐκείνῳ οὐδεμία ἦν πλὴν ταύτης, οὔτε χρημάτων ἕνεκα ἔπραξα ταῦτα, ἵνα πλούσιος ἐκ πένητος γένωμαι, οὔτε ἄλλου κέρδους οὐδενὸς πλὴν τῆς κατὰ τοὺς νόμους τιμωρίας. [ ] [43] Seek whether there had ever been any enmity between Eratosthenes and myself, except for this. You will find none. [44] For he had neither subjected me to slanderous impeachment, nor attempted to expel me from the city, nor brought any private suit against me, nor was he privy to any wrongdoing which I was so afraid of being divulged that I was intent on his destruction, nor, should I accomplish this, had I any hope of getting money from anywhere: for there are people who plot each other's death for such purposes. [45] So far, indeed, from either abuse or a drunken brawl or any other quarrel having occurred between us, I had never even seen the man before that night. For what object, then, should I run so grave a risk, unless I had received from him the greatest of injuries? [43] ζητοῦντες εἴ τις ἐμοὶ καὶ Ἐρατοσθένει ἔχθρα πώποτε γεγένηται πλὴν ταύτης. οὐδεμίαν γὰρ εὑρήσετε. [44] οὔτε γὰρ συκοφαντῶν γραφάς με ἐγράψατο, οὔτε ἐκβάλλειν ἐκ τῆς πόλεως ἐπεχείρησεν, οὕτε ἰδίας δίκας ἐδικάζετο, οὔτε συνῄδει κακὸν οὐδὲν ὃ ἐγὼ δεδιὼς μή τις πύθηται ἐπεθύμουν αὐτὸν ἀπολέσαι, οὔτε εἰ ταῦτα διαπραξαίμην, ἤλπιζόν ποθεν χρήματα λήψεσθαι: ἔνιοι γὰρ τοιούτων πραγμάτων ἕνεκα θάνατον ἀλλήλοις ἐπιβουλεύουσι. [45] τοσούτου τοίνυν δεῖ ἢ λοιδορία ἢ παροινία ἢ ἄλλη τις διαφορὰ ἡμῖν γεγονέναι, ὥστε οὐδὲ ἑωρακὼς ἦ τὸν ἄνθρωπον πώποτε πλὴν ἐν ἐκείνῃ τῇ νυκτί. τί ἄν οὖν βουλόμενος ἐγὼ τοιοῦτον κίνδυνον ἐκινδύνευον, εἰ μὴ τὸ μέγιστον τῶν ἀδικημάτων ἦ ὑπ αὐτοῦ ἠδικημένος; 1

2 2. Lysias 4: On a premeditated wounding ερὶ τραύματος ἐκ προνοίας The dispute about whether we were reconciled is a remarkable one, members of the council. It is also remarkable that although he cannot deny giving back the yoke of oxen, the slaves and everything else he had received under the terms of the antidosis, and our reconciliation agreement clearly covered everything, nevertheless he denies the clauses in which we agreed to share the slave girl. 2 Clearly he made the antidosis because of her, and the only reason he can give for having returned what he had received assuming he wishes to tell the truth is that our friends had reconciled us on all these matters. 3 I wish he had not been excluded by lot from serving as a judge at the Dionysia, which would have shown you that he was reconciled to me, and gave his verdict in favor of my tribe. In fact, after writing this on his voting tablet, he was excluded by lot. 4 Philinus and Diocles know that I am speaking the truth about this but they are not allowed to testify because they have not sworn the oath concerning the charge on which I am the defendant. Otherwise you would have known for certain that we were the people who proposed him as judge and that he took his seat because of us. 5 But let us assume, if he wishes, he was my enemy. I grant him that, because it makes no difference. So I went out myself to kill him, or so he claims, and entered his house by force. Then why did I not kill him, since I had him in my hands, and had so overpowered him that I had taken the slave girl as well? Let him explain that to you but he has nothing to say. 6 Moreover, you all realized that he would have died more quickly if struck by a knife than if punched by a fist. But clearly, not even he accuses us of going out armed with anything of that sort. Instead, he says he was struck with a piece of broken Pottery. And yet it is already clear from what he has said that there was no premeditation. 7 If there had been, we would not have gone out like that, because it was unclear whether at his house we would find a piece of broken pottery or anything else with which to kill him, so we would have taken something with us from home. But we θαυμαστόν γε, ὦ βουλή, τὸ διαμάχεσθαι περὶ τούτου, ὡς οὐκ ἐγένοντο ἡμῖν διαλλαγαί, καὶ τὸ μὲν ζεῦγος καὶ τὰ ἀνδράποδα, καὶ ὅσα ἐξ ἀγροῦ κατὰ τὴν ἀντίδοσιν ἔλαβε, 3 μὴ ἂν δύνασθαι ἀρνηθῆναι ὡς οὐκ ἀπέδωκε, φανερῶς δὲ περὶ πάντων διαλελυμένον ἀρνεῖσθαι τὰ περὶ τῆς ἀνθρώπου, μὴ κοινῇ ἡμᾶς χρῆσθαι συγχωρῆσαι. [2] καὶ τὴν μὲν ἀντίδοσιν δι ἐκείνην φανερός ἐστι ποιησάμενος, τὴν δ αἰτίαν δι ἣν ἀπέδωκεν ἃ 4 ἔλαβεν, οὐκ ἂν ἄλλην ἔχοι εἰπεῖν (βουλόμενος τἀληθῆ λέγειν) ἢ ὅτι οἱ φίλοι περὶ πάντων ἡμᾶς τούτων συνήλλαξαν. [3] ἐβουλόμην δ ἂν μὴ ἀπολαχεῖν αὐτὸν κριτὴν Διονυσίοις, ἵν ὑμῖν φανερὸς ἐγένετο ἐμοὶ διηλλαγμένος, κρίνας τὴν τιμὴν φυλὴν νικᾶν: νῦν δὲ ἔγραψε μὲν ταῦτα εἰς τὸ γραμματεῖον, ἀπέλαχε δέ. [4] καὶ ὅτι ἀληθῆ ταῦτα λέγω, Φιλῖνος καὶ Διοκλῆς ἴσασιν: ἀλλ οὐκ ἔστ αὐτοῖς μαρτυρῆσαι μὴ διομοσαμένοις περὶ τῆς αἰτίας ἧς ἐγὼ φεύγω, ἐπεὶ σαφῶς ἔγνωτ ἂν ὅτι ἡμεῖς ἦμεν αὐτὸν οἱ κριτὴν ἐμβαλόντες καὶ ἡμῶν ἕνεκα ἐκαθίζετο. ἀλλ ἦν, εἰ βούλεται, ἐχθρός: [5] δίδωμι γὰρ αὐτῷ τοῦτο: οὐδὲν γὰρ διαφέρει. οὐκοῦν ἦλθον αὐτὸς αὐτὸν ἀποκτενῶν, ὡς οὗτός φησι, καὶ βία εἰς τὴν οἰκίαν εἰσῆλθον. δὶα τί οὖν οὐκ ἀπέκτεινα, ὑποχείριον λαβὼν τὸ σῶμα, καὶ τοσοῦτον κρατήσας ὥστε καὶ τὴν ἄνθρωπον λαβεῖν; φρασάτω πρὸς ὑμᾶς. ἀλλ οὐκ ἔχει εἰπεῖν. [6] καὶ μὴν οὐδείς γε ὑμῶν ἀγνοεῖ ὅτι θᾶττον ἂν ἐγχειριδίῳ πληγεὶς ἀπέθανεν ἢ πὺξ παιόμενος. φαίνεται τοίνυν οὐδ αὐτὸς αἰτιώμενος τοιοῦτόν τι ἔχοντας ἡμᾶς ἐλθεῖν, ἀλλ ὀστράκῳ φησὶ πληγῆναι. καίτοι φανερὸν ἤδη ἐξ ὧν εἴρηκεν, ὅτι οὐ πρόνοια γεγένηται. [7] οὐ γὰρ ἂν οὕτως ἤλθομεν, ἀδήλου ὄντος εἰ παρὰ τούτῳ εὑρήσομεν ὄστρακον ἢ ὅτῳ 5 αὐτὸν ἀποκτενοῦμεν, ἀλλ οἴκοθεν ἔχοντες ἂν ἐβαδίζομεν. νῦν δὲ ὁμολογούμεθα πρὸς παῖδας καὶ αὐλητρίδας καὶ μετ οἴνου ἐλθόντες. ὥστε πῶς 2

3 admit we were going after boys and flute girls, and that we had been drinking; so how can this be premeditation? I certainly do not think it can. 8 My opponent is lovesick in a different way from other people. He wants two things: to retain the slave girl and not to give back the money. He has been aroused by the slave girl, he is prone to drunken violence and too quick with his fists, and one has to defend oneself. As for the slave girl, at one moment she says she prefers me, at another she says she prefers him, because she wants to be loved by both. 9 I have been good natured right from the beginning, and I still am; but he has become so surly that he is not ashamed to call a black eye a wound to be carried around on a litter, and to pretend he is in a terrible condition all for the sake of a slave prostitute, and he could have undisputed control of her if he simply paid me back the money. 10 He claims he has been the victim of terrible plots, and disagrees with us on every point, ταῦτ ἐστὶ πρόνοια; ἐγὼ μὲν γὰρ οἶμαι οὐδαμῶς. [8] ἀλλ οὗτος ἐναντίως τοῖς ἄλλοις δύσερώς ἐστι, καὶ ἀμφότερα βούλεται, τό τε ἀργύριον μὴ ἀποδοῦναι καὶ τὴν ἄνθρωπον ἔχειν. εἶτα ὑπὸ τῆς ἀνθρώπου παρωξυμμένος ὀξύχειρ λίαν καὶ πάροινός ἐστιν, ἀνάγκη δὲ ἀμύνασθαι. ἡ δὲ τοτὲ μὲν ἐμὲ περὶ πολλοῦ τοτὲ δὲ τοῦτόν φησι ποιεῖσθαι, βουλομένη ὑπ ἀμφοτέρων ἐρᾶσθαι. [9] καὶ ἐγὼ μὲν καὶ ἐξ ἀρχῆς εὐκόλως εἶχον καὶ νῦν ἔτι ἔχω: ὁ δ εἰς τοῦτο βαρυδαιμονίας ἥκει, ὥστε οὐκ αἰσχύνεται τραύματ ὀνομάζων τὰ ὑπώπια καὶ ἐν κλίνῃ περιφερόμενος καὶ δεινῶς προσποιούμενος διακεῖσθαι ἕνεκα πόρνης ἀνθρώπου, ἣν ἔξεστιν αὐτῷ ἀναμφισβητήτως ἔχειν ἐμοὶ ἀποδόντι τἀργύριον. [10] καὶ φησὶ μὲν δεινῶς ἐπιβουλευθῆναι καὶ πρὸς ἅπανθ ἡμῖν ἀμφισβητεῖ, Lysias, Against Teisis This man Archippus here, Athenians, practiced at the same wrestling school as Teisis, the defendant in this case. A dispute (orges) arose, and they became involved in insults and argument and echthra and abuse Lysias, fragment 75, Thalheim, T., (ed.), Lysiae orationes, ed. 2 maior corr. Leipzig: Lysias 14,1 I believe, men of the jury, that you need to hear no reason stated by those who want to prosecute Alcibiades: For from the beginning he has led his civic life in such a way that, even if one happens or not to have been privately wronged by him, it is not less fitting, on the basis of his other practices, to consider him an enemy (echthron). Hallmarks of the social status of enmity in Attic Law, selected biblical references Overt act requirement Ps 55:3 4; Ps 56:4 5 Jer 18:18; 20:7b 8a Flexibility and variation: rhetorical and physical dispute settlement Ps 59:3 5,7 8 3

4 Reciprocity and escalation Heritability, (longevity) Transitivity Num 35:16 18; the weapons can indicate a specific intention Ps 55:12 13 friend / enemy 2Sam 21:1 Blood guilt on Saul s house 2Sam 9 David and Mephi Boshet Deut 19:4,6,11 Longevity 1Sam 22:8 Saul s men conspire with David 1Sam 22:13 19 Killing of friends of an enemy II Enmity and conflict settlement procedures in the Covenant Code Exod 23:4 5, Deut 22:1 4, Lev 5:21 22, Exod 22:9 10, Lev 19:15 18 V 5 "If you see the donkey of one who hates you lying under its load, you shall refrain from leaving it to him, you shall surely release (it) i with him. כּ י ת ר א ה ח מ וֹר שׂ נ א ך ר ב ץ תּ ח ת מ שּׂ א וֹ ו ח ד ל ע ז ב תּ ע ז ב ע מּ וֹ תּ מ ע ז ב ל וֹ כּ י ת פ גּ ע שׁ וֹר א י ב ך א וֹ ח מ ר וֹ תּ ע ה ה שׁ ב תּ שׁ יב נּוּ ל וֹ V 4 If you encounter your enemy s ox or donkey going astray, you shall surely return it to him. Deut 22:1,3 4 1 ל א ת 3 ר א ה א ת שׁ וֹר א ח י ך א וֹ א ת שׂ יוֹ נ דּ ח ים ו ה ת ע לּ מ תּ ה שׁ ב תּ שׁ יב ם ל א ח י ך ו כ ן תּ ע שׂ ה ל ח מ ר וֹ ו כ ן תּ ע שׂ ה ל שׂ מ ל תוֹ ו כ ן תּ ע שׂ ה ל כ ל א ב ד ת א ח י ך א שׁ ר תּ אב ד מ מּ נּוּ וּמ צ א ת הּ ל א תוּכ ל ל ה ת ע לּ ם מ ה ם 4 ל א ת ר א ה א ת ח מ וֹר א ח י ך א וֹ שׁוֹרוֹ נ פ ל ים בּ דּ ר ך ו ה ת ע לּ מ תּ ה ק ם תּ ק ים ע מּ וֹ מ ה ם 4

5 Lev 5: To lie to his fellow countryman ע מ ית וֹ) (בּ in the matter of a deposit ( ii פ קּ ד וֹן ) or a pledge שׂ וּמ ת י ד) (ת iii (ג ז ל) or through robbery (ע מ יתוֹ) his fellow countryman (ע שׁ ק) or by defrauding or by finding something lost ב ד ה) (א and lying about it. 22aβb: if he swears falsely regarding any one of the various things that one may do and sin thereby. Exod 22: כּ י י תּ ן א ישׁ א ל ר ע הוּ ח מ וֹר אוֹ שׁ וֹר אוֹ שׂ ה ו כ ל בּ ה מ ה ל שׁ מ ר וּמ ת אוֹ נ שׁ בּ ר אוֹ נ שׁ בּ ה א ין ר א ה "If a man gives his neighbor a donkey, an ox, a sheep, or any animal to keep for him, and it dies or is hurt or is driven away while no one is looking, שׁ ב ע ת י הו ה תּ ה י ה בּ ין שׁ נ יה ם א ם ל א שׁ ל ח י ד וֹ בּ מ ל אכ ת ר ע הוּ ו ל ק ח בּ ע ל יו ו ל א י שׁ לּ ם 10 an oath before YHWH shall be made by the two of them, that he has not laid hands on his neighbor's property; and its owner shall accept it, and he shall not make restitution. Lev 19: You shall do no injustice in judgment; you shall not be partial to the poor nor defer to the great, but you are to judge your fellow countryman מ ית ך) (ע in justice. 16 You shall not go about as a slanderer among your people, ;(ר ע ך) and you are not to stand against the blood of your neighbor I am YHWH. 17 You shall not hate ( (שנא your brother ת א ח י ך) (א in your heart; 5

6 (א ת ע מ ית ך) you may surely reprove your fellow countryman but shall not incur sin because of him. 18 You shall not take vengeance,,(בּ נ י ע מּ ך) nor bear a grudge against the sons of your people but you shall love (אהב) your neighbor ע ך) (ר as yourself; I am YHWH. III Homicide Law Exod 21:12 14, Deut 19:1 12, Num 35:9 34 Deut 19:1 12* 2a שׁ ל וֹשׁ ע ר ים תּ ב דּ יל ל ך 3b ו ה י ה ל נ וּס שׁ מּ ה כּ ל ר צ ח 4a ו ז ה דּ ב ר ה ר צ ח א שׁ ר י נ וּס שׁ מּ ה ו ח י 4b א שׁ ר י כּ ה בּ ב ל י ד ע ת ו ה וּא ל א שׂ נ א ל וֹ א ת ר ע ה וּ מ תּ מ ל שׁ ל שׁ ם 5 ו א שׁ ר י ב א א ת ר ע הוּ ב יּ ע ר ל ח ט ב ע צ ים ו נ דּ ח ה י ד וֹ ב גּ ר ז ן ל כ ר ת ה ע ץ ו נ שׁ ל ה בּ ר ז ל מ ן ה ע ץ וּמ צ א א ת ר ע הוּ ו מ ת ה וּא י נ וּס א ל א ח ת ה ע ר ים ה א לּ ה ו ח י 6 פּ ן י ר דּ ף גּ א ל ה דּ ם א ח ר י ה ר צ ח כּ י י ח ם ל ב בוֹ ו ה שּׂ יג וֹ כּ י י ר בּ ה ה דּ ר ך ו ה כּ הוּ נ פ שׁ ו לוֹ א ין מ שׁ פּ ט מ ו ת כּ י ל א שׂ נ א ה וּא ל וֹ מ תּ מ וֹל שׁ ל שׁ וֹם 11 ו כ י י ה י ה א ישׁ שׂ נ א ל ר ע הוּ ו א רב ל וֹ ו ק ם ע ל יו ו ה כּ הוּ נ פ שׁ ו מ ת ו נ ס א ל א ח ת ה ע ר ים ה א ל INTRODUCTION: POSITIVE COMMAND You shall separate three cities for yourself And it shall be that each slayer can flee there. SUPERSCRIPTION: GENERAL CASE This is the case of the slayer, who flees there in order to survive SUBCASE I PROTASIS who has killed his neighbor without knowledge without hating him ever since. Exemplary case law Namely, one goes with his neighbor in the forest to cut wood, his hand swings the axe in order to cut the wood, and the iron jumps out of the wood (shaft) and it hits his neighbor so that he dies SUBCASE I APODOSIS he shall flee to one of these cities and shall live there. Plausibilisation So that the avenger of blood does not pursue behind the slayer, because his heart is hot to pursue him because the way is long, he slays his throat, even though he has no death sentence, because he (the slayer) is not a hating him, not from ever since. SUBCASE II PROTASIS If there is a person who is hating his neighbor and is lying in wait for him and he overcomes him and he slays his throat and he dies and he then flees to one of these cities, 6

7 12 ו שׁ ל חוּ ז ק נ י ע יר וֹ ו ל ק ח וּ א ת וֹ מ שּׁ ם ו נ ת נ וּ א ת וֹ בּ י ד גּ א ל ה דּ ם ו מ ת SUBCASE II APODOSIS then the elders of his city shall send and shall take him from there, and they shall give him into the hand of the avenger of blood so that he dies. Comparison Exod 21:14/Deut 19:11; Exod 21:13 Deut 19:4 Exod 21,14a ו כ י י ז ד א ישׁ ע ל ר ע הוּ ל ה ר גוֹ ב ע ר מ ה If a man lies in wait against his neighbor to kill him in an ambush Deut 19,11a If there is a man hating his neighbor and is lying in wait for him... ו כ י י ה י ה א ישׁ שׂ נ א ל ר ע הוּ ו א רב לוֹ Exod 21:13 If he has not intended it,... ו א שׁ ר ל א צ ד ה Then I will set a place for you to which the slayer may flee. Deut 19:4 This is the case of a manslayer, who flees there, in order to live, [...] and he is not one who is hating him ever since. ו ה וּא ל א שׂ נ א ל וֹ מ תּ מ ל שׁ ל שׁ ם Numbers 35:15 23* כּ ל מ כּ ה נ פ שׁ בּ שׁ ג ג ה ו א ם בּ כ ל י ב ר ז ל ה כּ הוּ ו יּ מ ת ו א ם בּ א ב ן י ד א שׁ ר י מ וּת בּ הּ א וֹ בּ כ ל י ע ץ י ד א שׁ ר י מ וּת בּ וֹ SUPERSCRIPTION CASE II: everyone who in inadvertence has killed a soul V 15 CASE I: Exclusion from asylum intentional, according to tool/material V if with an iron utensil he slew him dead if with a stone in his hand (he slew) him so that he died from it if with a wooden utensil in his hand (he slew) him so that he died from it 7

8 ו א ם בּ שׂ נ א ה י ה דּ פ נּוּ א וֹ ה שׁ ל י ך ע ל יו בּ צ ד יּ ה ו יּ מ ת א וֹ ב א יב ה ה כּ הוּ ב י דוֹ ו יּ מ ת Specific motivation, mode of action V if in hatred he pushed him or if he throws something at him with intentionality so that he dies or in enmity he slays him with his fist, so that he dies. ו א ם בּ פ ת ע בּ ל א א יב ה ה ד פ וֹ אוֹ ה שׁ ל י ך ע ל יו כּ ל כּ ל י בּ ל א צ ד יּ ה א וֹ ב כ ל א ב ן א שׁ ר י מ וּת בּ הּ בּ ל א ר א וֹת ו יּ פּ ל ע ל יו ו יּ מ ת ו הוּא ל א אוֹי ב ל וֹ ו ל א מ ב קּ שׁ ר ע ת וֹ CASE II: Admittance to asylum spontaneous, erroneous, without intention/long term enmity V to suddenly push him, without enmity to throw any utensil at him, without intentionality or by any (sort of) stone so that he dies through it without seeing it, he lets it fall on him so that he dies without him being his enemy and without being (somebody who) is seeking his evil. i The existence of a root עזב II with to restore/repair/arrange is disputed. References include Neh 3:8, 34; Job 9:27 (face); 1Chr 16:37; Job 10:1; 18:4; 20:19; 39:14. ii See in this sense of something that is given as a deposit Sir 42:7; and maybe also ה ע יר ה פ ק ד Jer 6:6 the delivered city. Akkadian puquddȗ designates a formal transfer or a committed object. In Gen 41:26 it means supply (of food). iii Hapaxlegomenon. 8

Calling and Training Disciples: How to Pray complex: Lord s Prayer 1

Calling and Training Disciples: How to Pray complex: Lord s Prayer 1 Calling and Training Disciples: How to Pray complex: Lord s Prayer 1 Matt Mark Luke Greek Reconstruction Hebrew Reconstruction 1 ו י ה י בּ ה י'ת' 1 11:1 καὶ ἐγένετο ἐν τῷ εἶναι αὐτὸν καὶ ἐγένετο ἐν τῷ

Διαβάστε περισσότερα

Matthew Mark Luke Luke Greek Reconstruction Hebrew Reconstruction. καὶ εὐαγγελιζόμενος τὴν βασιλείαν τοῦ θεοῦ

Matthew Mark Luke Luke Greek Reconstruction Hebrew Reconstruction. καὶ εὐαγγελιζόμενος τὴν βασιλείαν τοῦ θεοῦ Calling and Training Disciples: "Mission of the Twelve" complex: Sending the Twelve: Commissioning 1 1 9:35 καὶ περιῆγεν 6:6b καὶ περιῆγεν [8:1 καὶ ἐγένετο ἐν τῷ καθεξῆς καὶ αὐτὸς διώδευεν And / was going

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

Matthew Mark Luke Greek Reconstruction Hebrew Reconstruction

Matthew Mark Luke Greek Reconstruction Hebrew Reconstruction Passover: Preparations for Eating Passover Lamb (Matt. 26:17-19; Mark 14:12-16; Luke 22:7-13) 1 1 ו יּ ב א י(ם 1 26:17 τῇ δὲ πρώτῃ 14:12 καὶ τῇ πρώτῃ ἡμέρᾳ 22:7 ἦλθεν δὲ ἡ ἡμέρα ἦλθεν δὲ ἡ ἡμέρα on the

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

αὐτόν φέρω αὐτόν τὸ φῶς τὸ φῶς αὐτόν τὸ φῶς ὁ λόγος ὁ κόσμος δι αὐτοῦ ἐγένετο, καὶ ὁ κόσμος αὐτὸν οὐκ ἔγνω αὐτόν

αὐτόν φέρω αὐτόν τὸ φῶς τὸ φῶς αὐτόν τὸ φῶς ὁ λόγος ὁ κόσμος δι αὐτοῦ ἐγένετο, καὶ ὁ κόσμος αὐτὸν οὐκ ἔγνω αὐτόν ἐγένετο ἄνθρωπος, ἀπεσταλμένος παρὰ θεοῦ, ὄνομα αὐτῷ Ἰωάννης οὗτος ἦλθεν εἰς μαρτυρίαν ἵνα μαρτυρήσῃ περὶ τοῦ φωτός, ἵνα πάντες πιστεύσωσιν δι αὐτοῦ. οὐκ ἦν ἐκεῖνος τὸ φῶς, ἀλλ ἵνα μαρτυρήσῃ περὶ τοῦ φωτός.

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

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

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

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

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

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

Verklarte Nacht, Op.4 (Εξαϋλωμένη Νύχτα, Έργο 4) Arnold Schoenberg (1874-1951)

Verklarte Nacht, Op.4 (Εξαϋλωμένη Νύχτα, Έργο 4) Arnold Schoenberg (1874-1951) 1 Verklarte Nacht, Op.4 (Εξαϋλωμένη Νύχτα, Έργο 4) Arnold Schoenberg (1874-1951) Αναγνώσματα από το βιβλίο Η Απόλαυση της Μουσικής (Machlis, Forney), για τους μαθητές που θα μελετήσουν το έργο: «Ο Σαίνμπεργκ

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

«ΨΥΧΙΚΗ ΥΓΕΙΑ ΚΑΙ ΣΕΞΟΥΑΛΙΚΗ» ΠΑΝΕΥΡΩΠΑΪΚΗ ΕΡΕΥΝΑ ΤΗΣ GAMIAN- EUROPE

«ΨΥΧΙΚΗ ΥΓΕΙΑ ΚΑΙ ΣΕΞΟΥΑΛΙΚΗ» ΠΑΝΕΥΡΩΠΑΪΚΗ ΕΡΕΥΝΑ ΤΗΣ GAMIAN- EUROPE «ΨΥΧΙΚΗ ΥΓΕΙΑ ΚΑΙ ΣΕΞΟΥΑΛΙΚΗ» ΠΑΝΕΥΡΩΠΑΪΚΗ ΕΡΕΥΝΑ ΤΗΣ GAMIAN- EUROPE We would like to invite you to participate in GAMIAN- Europe research project. You should only participate if you want to and choosing

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

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

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

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

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

2 Kings 2:1-12 Psalm 50:1-6 2 Corinthians 4:3-6 Mark 9:2-9

2 Kings 2:1-12 Psalm 50:1-6 2 Corinthians 4:3-6 Mark 9:2-9 1 Transfiguration (B) 2 Kings 2:1-12 Psalm 50:1-6 2 Corinthians 4:3-6 Mark 9:2-9 2 Kings 2:1 Now the LORD was going to take Elijah up to heaven in a windstorm, and Elijah and Elisha were leaving Gilgal.

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

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

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

Διαβάστε περισσότερα

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

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

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

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

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

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

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

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

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

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

Οδηγίες Αγοράς Ηλεκτρονικού Βιβλίου Instructions for Buying an ebook

Οδηγίες Αγοράς Ηλεκτρονικού Βιβλίου Instructions for Buying an ebook Οδηγίες Αγοράς Ηλεκτρονικού Βιβλίου Instructions for Buying an ebook Βήμα 1: Step 1: Βρείτε το βιβλίο που θα θέλατε να αγοράσετε και πατήστε Add to Cart, για να το προσθέσετε στο καλάθι σας. Αυτόματα θα

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

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

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

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

Job 1:1, 2:1-10 Psalm 26 // Genesis 2:18-24 Psalm 8 Hebrews 1:1-4, 2:5-12 Mark 10:2-16

Job 1:1, 2:1-10 Psalm 26 // Genesis 2:18-24 Psalm 8 Hebrews 1:1-4, 2:5-12 Mark 10:2-16 1 Twentieth Sunday after Pentecost (B) or 20PentecostB Job 1:1, 2:1-10 Psalm 26 // Genesis 2:18-24 Psalm 8 Hebrews 1:1-4, 2:5-12 Mark 10:2-16 Job 1:1 A man in the land of Uz was named Job. That man was

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

1 Samuel 3:1-10, (11-20) Psalm 139:1-6, Corinthians 6:12-20 John 1:43-51

1 Samuel 3:1-10, (11-20) Psalm 139:1-6, Corinthians 6:12-20 John 1:43-51 1 Second Sunday after Epiphany (B) or 2EpiphanyB 1 Samuel 3:1-10, (11-20) Psalm 139:1-6, 13-18 1 Corinthians 6:12-20 John 1:43-51 1 Samuel 3:1 Now the boy Samuel was serving the LORD under Eli. The LORD's

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

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

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

2 Kings 2:1-12 Psalm 50:1-6 2 Corinthians 4:3-6 Mark 9:2-9 Matthew 16:24-17:8 Psalm 41:7-10 N2

2 Kings 2:1-12 Psalm 50:1-6 2 Corinthians 4:3-6 Mark 9:2-9 Matthew 16:24-17:8 Psalm 41:7-10 N2 1 Transfiguration Sunday (B) 2 Kings 2:1-12 Psalm 50:1-6 2 Corinthians 4:3-6 Mark 9:2-9 Matthew 16:24-17:8 Psalm 41:7-10 N2 2 Kings 2:1 Now when the LORD was about to take Elijah up to heaven by a whirlwind,

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

1 John 5. LGNT - September 6, 2019 Page 1. Book Chapter Verse. Word # 1 John Greek. # of words. Numeric value. Interlinear English.

1 John 5. LGNT - September 6, 2019 Page 1. Book Chapter Verse. Word # 1 John Greek. # of words. Numeric value. Interlinear English. Book Chapter Verse Interlinear English Word # 1 John Greek # of letters # of words Numeric value 230501 everyone 01709 ΠΑΣ 3 281 230501 01710 Ο 1 70 230501 believing 01711 ΠΙΣΤΕΥΩΝ 8 1845 230501 that 01712

Διαβάστε περισσότερα

I haven t fully accepted the idea of growing older

I haven t fully accepted the idea of growing older I haven t fully accepted the idea of growing older 1 Peter Authorship Questions Πέτρος ἀπόστολος Ἰησοῦ Χριστοῦ ἐκλεκτοῖς παρεπιδήμοις διασπορᾶς Πόντου, Γαλατίας, Καππαδοκίας, Ἀσίας 1 Peter Authorship

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

Twentieth Sunday after Pentecost (A) or 20 th Sunday after Pentecost (A)

Twentieth Sunday after Pentecost (A) or 20 th Sunday after Pentecost (A) 1 Twentieth Sunday after Pentecost (A) or 20 th Sunday after Pentecost (A) Exodus 33:12-23 Psalm 99 // Isaiah 45:1-7 Psalm 96:1-9, (10-13) // 1 Thessalonians 1:1-10 Matthew 22:15-22 Exodus 33:12 Moses

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

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

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

1 st Sunday in Lent (C) Deuteronomy 26:1-11 Psalm 91:1-2, 9-16 Romans 10:8b-13 Luke 4:1-13

1 st Sunday in Lent (C) Deuteronomy 26:1-11 Psalm 91:1-2, 9-16 Romans 10:8b-13 Luke 4:1-13 1 1 st Sunday in Lent (C) Deuteronomy 26:1-11 Psalm 91:1-2, 9-16 Romans 10:8b-13 Luke 4:1-13 Deuteronomy 26:1 Once you have entered the land the LORD your God is giving you as an inheritance, and you take

Διαβάστε περισσότερα

Exodus 20:1-17 Psalm 19 1 Corinthians 1:18-25 John 2:13-22

Exodus 20:1-17 Psalm 19 1 Corinthians 1:18-25 John 2:13-22 1 Third Sunday of Lent (B) or 3LentB Exodus 20:1-17 Psalm 19 1 Corinthians 1:18-25 John 2:13-22 Exodus 20:1 Then God spoke all these words: 2 I am the LORD your God who brought you out of Egypt, out of

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

Jeremiah 18:1-11 Psalm 139:1-6, (or) Deuteronomy 30:15-20 Psalm 1 Philemon 1:1-1:21 Luke 14:25-33

Jeremiah 18:1-11 Psalm 139:1-6, (or) Deuteronomy 30:15-20 Psalm 1 Philemon 1:1-1:21 Luke 14:25-33 1 Sixteenth Sunday of Pentecost (C) or Twenty Third Sunday Ordinary (C) Jeremiah 18:1-11 Psalm 139:1-6, 13-18 (or) Deuteronomy 30:15-20 Psalm 1 Philemon 1:1-1:21 Luke 14:25-33 Jeremiah 18:1 The word that

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

Numbers 21:4-9 Psalm 107:1-3, Ephesians 2:1-10 John 3:14-21

Numbers 21:4-9 Psalm 107:1-3, Ephesians 2:1-10 John 3:14-21 1 Fourth Sunday of Lent (B) or 4LentB Numbers 21:4-9 Psalm 107:1-3, 17-22 Ephesians 2:1-10 John 3:14-21 Numbers 21:4 They marched from Mount Hor on the Reed Sea road around the land of Edom. The people

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

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

1 Samuel 2:18-20, 26 Psalm 148 Colossians 3:12-17 Luke 2:41-52 Mark 1:1-20 N (Psalm 91:9-12) N2

1 Samuel 2:18-20, 26 Psalm 148 Colossians 3:12-17 Luke 2:41-52 Mark 1:1-20 N (Psalm 91:9-12) N2 1 First Sunday of Christmas (C) 1 Samuel 2:18-20, 26 Psalm 148 Colossians 3:12-17 Luke 2:41-52 Mark 1:1-20 N (Psalm 91:9-12) N2 1 Samuel 2:18 Samuel was ministering before the LORD, a boy clothed with

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

Genesis 9:8-17 Psalm 25: Peter 3:18-22 Mark 1:9-15

Genesis 9:8-17 Psalm 25: Peter 3:18-22 Mark 1:9-15 1 First Sunday of Lent (B) or 1LentB Genesis 9:8-17 Psalm 25:1-10 1 Peter 3:18-22 Mark 1:9-15 Genesis 9:8 God said to Noah and to his sons with him, 9 "I am now setting up my covenant with you, with your

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

2 Samuel 7:1-11, 16 Luke 1:46b-55 or Psalm 89:1-4, Romans 16:25-27 Luke 1:26-38

2 Samuel 7:1-11, 16 Luke 1:46b-55 or Psalm 89:1-4, Romans 16:25-27 Luke 1:26-38 1 Fourth Sunday of Advent (B) 2 Samuel 7:1-11, 16 Luke 1:46b-55 or Psalm 89:1-4, 19-26 Romans 16:25-27 Luke 1:26-38 2 Samuel 7:1 When the king was settled in his palace, and the LORD had given him rest

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

Deuteronomy 34:1-12 Psalm 90:1-6, // Leviticus 19:1-2, Psalm 1 // 1 Thessalonians 2:1-8 Matthew 22:34-46

Deuteronomy 34:1-12 Psalm 90:1-6, // Leviticus 19:1-2, Psalm 1 // 1 Thessalonians 2:1-8 Matthew 22:34-46 1 Twenty first Sunday after Pentecost (A) or 21 st Sunday of Pentecost (A) Deuteronomy 34:1-12 Psalm 90:1-6, 13-17 // Leviticus 19:1-2, 15-18 Psalm 1 // 1 Thessalonians 2:1-8 Matthew 22:34-46 Deuteronomy

Διαβάστε περισσότερα

ו יּ שׁ ב י ע ק ב בּ א ר ץ מ גוּר י א ב יו בּ א ר ץ כּ נ ע ן 2 א לּ ה תּ ל דוֹת י ע ק ב יוֹס ף

ו יּ שׁ ב י ע ק ב בּ א ר ץ מ גוּר י א ב יו בּ א ר ץ כּ נ ע ן 2 א לּ ה תּ ל דוֹת י ע ק ב יוֹס ף Tenth Sunday after Pentecost (A) Genesis 37:1-4, 12-28 or Psalm 105: 1-6, 16-22, 45b // 1 Kings 19:9-18 Psalm 85:8-13 // Romans 10:5-15 Matthew 14:22-33 Genesis 37:1 Jacob lived in the land of Canaan where

Διαβάστε περισσότερα

Genesis 17:1-7, Psalm 22:23-31 Romans 4:13-25 Mark 8:31-38 or Mark 9:2-9

Genesis 17:1-7, Psalm 22:23-31 Romans 4:13-25 Mark 8:31-38 or Mark 9:2-9 1 Second Sunday of Lent (B) or 2LentB Genesis 17:1-7, 15-16 Psalm 22:23-31 Romans 4:13-25 Mark 8:31-38 or Mark 9:2-9 Genesis 17:1 When Abram was 99 years old, the LORD appeared to Abram and said to him,

Διαβάστε περισσότερα

(C) 2010 Pearson Education, Inc. All rights reserved.

(C) 2010 Pearson Education, Inc. All rights reserved. Connectionless transmission with datagrams. Connection-oriented transmission is like the telephone system You dial and are given a connection to the telephone of fthe person with whom you wish to communicate.

Διαβάστε περισσότερα

Exodus 20:1-4, 7-9, Psalm 19 // Isaiah 5:1-7 Psalm 80:7-15 // Philippians 3:4b-14 Matthew 21:33-46

Exodus 20:1-4, 7-9, Psalm 19 // Isaiah 5:1-7 Psalm 80:7-15 // Philippians 3:4b-14 Matthew 21:33-46 1 Eighteenth Sunday after Pentecost (A) Exodus 20:1-4, 7-9, 12-20 Psalm 19 // Isaiah 5:1-7 Psalm 80:7-15 // Philippians 3:4b-14 Matthew 21:33-46 Exodus 20:1 Then God spoke all these words: 2 I am the LORD

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

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

1 Samuel 1: Samuel 2:1-10 // Daniel 12:1-3 Psalm 16 Hebrews 10:11-14, (15-18), Mark 13:1-8

1 Samuel 1: Samuel 2:1-10 // Daniel 12:1-3 Psalm 16 Hebrews 10:11-14, (15-18), Mark 13:1-8 1 26 th Sunday after Pentecost (B) or 26PentecostB 1 Samuel 1:4-20 1 Samuel 2:1-10 // Daniel 12:1-3 Psalm 16 Hebrews 10:11-14, (15-18), 19-25 Mark 13:1-8 1 Samuel 1:4 Whenever he sacrificed, Elkanah would

Διαβάστε περισσότερα

Matthew Mark Luke Greek Reconstruction Hebrew Reconstruction

Matthew Mark Luke Greek Reconstruction Hebrew Reconstruction Calling and Training Disciples: Cost of Entering the Kingdom of Heaven complex: Rich Man Declines the Kingdom of Heaven 1 1 19:16 καὶ ἰδοὺ 10:17 καὶ 18:18 καὶ [καὶ 1 And / behold And And And 2 ἐκπορευομένου

Διαβάστε περισσότερα

2 Thessalonians 3. Greek

2 Thessalonians 3. Greek Book Chapter Verse Interlinear English Word # in 2 Thess Greek # of letters # of words Numeric value 140301 00548 ΤΟ 2 370 140301 finally 00549 ΛΟΙΠΟΝ 6 310 140301 pray 00550 ΠΡΟΣΕΥΧΕΣΘΕ 11 1674 140301

Διαβάστε περισσότερα

ו יּ ע ן א יּוֹב א ת י הו ה ו יּ אמ ר ) 2 י ד ע תּ ( [י ד ע תּ י] כּ י כ ל תּוּכ ל ו ל א י בּ צ ר מ מּ ך מ ז מּ ה 3 מי א שׁ א ל ך ו הוֹד יע נ י ו א פ ר פ

ו יּ ע ן א יּוֹב א ת י הו ה ו יּ אמ ר ) 2 י ד ע תּ ( [י ד ע תּ י] כּ י כ ל תּוּכ ל ו ל א י בּ צ ר מ מּ ך מ ז מּ ה 3 מי א שׁ א ל ך ו הוֹד יע נ י ו א פ ר פ מּ 1 23 rd Sunday after Pentecost (B) Job 42:1-6, 10-17 Psalm 34:1-8, (19-22) // Jeremiah 31:7-9 Psalm 126 Hebrews 7:23-28 Mark 10:46-52 Job 42:1 Job answered the LORD: 2 I know you can do anything; no

Διαβάστε περισσότερα

Ezekiel 34:11-16, Psalm 100 // Ezekiel 34:11-16, Psalm 95:1-7a // Ephesians 1:15-23 Matthew 25:31-46

Ezekiel 34:11-16, Psalm 100 // Ezekiel 34:11-16, Psalm 95:1-7a // Ephesians 1:15-23 Matthew 25:31-46 1 Christ the King (A) or Reign of Christ (A) Ezekiel 34:11-16, 20-24 Psalm 100 // Ezekiel 34:11-16, 20-24 Psalm 95:1-7a // Ephesians 1:15-23 Matthew 25:31-46 Ezekiel 34:11 The LORD God proclaims: I myself

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

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

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

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

ו יּ ע ן א יּוֹב ו יּ אמ ר 2 גּ ם ה יּוֹם מ ר י שׂ ח י י ד י כּ ב ד ה ע ל א נ ח ת י מ י י תּ ן י ד ע תּי

ו יּ ע ן א יּוֹב ו יּ אמ ר 2 גּ ם ה יּוֹם מ ר י שׂ ח י י ד י כּ ב ד ה ע ל א נ ח ת י מ י י תּ ן י ד ע תּי פ מ 1 21 st Sunday after Pentecost (B) or 21PentecostB Job 23:1-9, 16-17 Psalm 22:1-15 // Amos 5:6-7, 10-15 Psalm 90:12-17 Hebrews 4:12-16 Mark 10:17-31 Job 23:1 Job answered: 2 Today my complaint is again

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

Üzleti élet Rendelés. Rendelés - Megrendelés. Rendelés - Visszaigazolás. Hivatalos, kísérleti

Üzleti élet Rendelés. Rendelés - Megrendelés. Rendelés - Visszaigazolás. Hivatalos, kísérleti - Megrendelés Εξετάζουμε την αγορά... Hivatalos, kísérleti Είμαστε στην ευχάριστη θέση να δώσουμε την παραγγελία μας στην εταιρεία σας για... Θα θέλαμε να κάνουμε μια παραγγελία. Επισυνάπτεται η παραγγελία

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

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

1 Samuel 15:34-16:13 Psalm 20 Ezekiel 17:22-24 Psalm 92:1-4, Corinthians 5:6-10, (11-13), Mark 4:26-34

1 Samuel 15:34-16:13 Psalm 20 Ezekiel 17:22-24 Psalm 92:1-4, Corinthians 5:6-10, (11-13), Mark 4:26-34 1 Fourth Sunday after Pentecost (B) or 4PentecostB 1 Samuel 15:34-16:13 Psalm 20 Ezekiel 17:22-24 Psalm 92:1-4, 12-15 2 Corinthians 5:6-10, (11-13), 14-17 Mark 4:26-34 1 Samuel 15:34 Then Samuel went to

Διαβάστε περισσότερα

Exodus 20:1-17 Psalm 19 1 Corinthians 1:18-25 John 2:13-22 Matthew 22:1-14 N Psalm 45:6-7 N2

Exodus 20:1-17 Psalm 19 1 Corinthians 1:18-25 John 2:13-22 Matthew 22:1-14 N Psalm 45:6-7 N2 1 Third Sunday of Lent (B) Exodus 20:1-17 Psalm 19 1 Corinthians 1:18-25 John 2:13-22 Matthew 22:1-14 N Psalm 45:6-7 N2 Exodus 20:1 And God spoke all these words, saying, 2 "I am the LORD your God, who

Διαβάστε περισσότερα

Η αντίσταση στην ανθρωπιστική ψυχοθεραπεία

Η αντίσταση στην ανθρωπιστική ψυχοθεραπεία Η αντίσταση στην ανθρωπιστική ψυχοθεραπεία Σταλίκας Αναστάσιος, Καθηγητής, Πάντειο Πανεπιστήμιο Γιωτσίδη Βασιλική, Διδάκτωρ Κλινικής Ψυχολογίας, Ψυχοθεραπεύτρια. Χριστίνα Σεργιάννη, Διδάκτωρ Κλινικής Ψυχολογίας,

Διαβάστε περισσότερα

LESSON 9 (ΜΑΘΗΜΑ ΕΝΝΙΑ) REF: 202/053/29-ADV. 14 January 2014

LESSON 9 (ΜΑΘΗΜΑ ΕΝΝΙΑ) REF: 202/053/29-ADV. 14 January 2014 LESSON 9 (ΜΑΘΗΜΑ ΕΝΝΙΑ) REF: 202/053/29-ADV 14 January 2014 Nobody/No-one Κανένας/καμία/κανένα What s the matter?/what s happening? Τι συμβαίνει; (simvenee) All right/ok εντάξει Moment η στιγμή (stigmee)

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

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

Matthew Mark Luke Greek Reconstruction Hebrew Reconstruction

Matthew Mark Luke Greek Reconstruction Hebrew Reconstruction Calling and Training Disciples: Four Types of Hearers complex: Four Soils parable (Matt. 13:1-9; Mark 4:1-9; Luke 8:4-8) 1 1 13:1 ἐν τῇ ἡμέρᾳ ἐκείνῃ καὶ ἐγένετο ἐν τῇ ἡμέρᾳ ἐκείνῃ 1 ו י ה י בּ יּ)ם ה הוּא

Διαβάστε περισσότερα

Jeremiah 31:31-34 Psalm 51:1-12 or Psalm 119:9-16 Hebrews 5:5-10 John 12: Fifth Sunday of Lent (B)

Jeremiah 31:31-34 Psalm 51:1-12 or Psalm 119:9-16 Hebrews 5:5-10 John 12: Fifth Sunday of Lent (B) 1 Fifth Sunday of Lent (B) Jeremiah 31:31-34 Psalm 51:1-12 or Psalm 119:9-16 Hebrews 5:5-10 John 12:20-33 Jeremiah 31:31 The time is coming, declares the LORD, when I will make a new covenant with the

Διαβάστε περισσότερα

2 Samuel 11:26-12:13a Psalm 51:1-12 // Exodus 16:2-4, 9-15 Psalm 78:23-29 Ephesians 4:1-16 John 6:24-35

2 Samuel 11:26-12:13a Psalm 51:1-12 // Exodus 16:2-4, 9-15 Psalm 78:23-29 Ephesians 4:1-16 John 6:24-35 1 Eleventh Sunday after Pentecost (B) 2 Samuel 11:26-12:13a Psalm 51:1-12 // Exodus 16:2-4, 9-15 Psalm 78:23-29 Ephesians 4:1-16 John 6:24-35 2 Samuel 11:26 When Uriah's wife heard that her husband Uriah

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

Jonah 3:1-5, 10 Psalm 62: Corinthians 7:29-31 Mark 1:14-20

Jonah 3:1-5, 10 Psalm 62: Corinthians 7:29-31 Mark 1:14-20 1 Third Sunday after Epiphany (B) or 3EpiphanyB Jonah 3:1-5, 10 Psalm 62:5-12 1 Corinthians 7:29-31 Mark 1:14-20 Jonah 3:1 The LORD's word came to Jonah a second time: 2 "Get up and go to Nineveh, that

Διαβάστε περισσότερα