Day 621: Introduction to Titus

Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download "Day 621: Introduction to Titus"

Transcript

1 Notes on the Greek New Testament Week 125 Titus 1:1-2:5 Day 621: Introduction to Titus For the historical background and authorship of the Pastoral Epistles, see the introduction to the Pastoral Epistles in Week 121 and also the comment on Titus 3:12 in Week 126. Titus the Man Titus is not mentioned in Acts, but he does play a prominent role in 2 Corinthians. Mounce writes, "According to the traditional theory, Paul paid a 'painful visit' to the Corinthian church (2 Cor 2:1) and wrote a painful letter (2 Cor 2:4), which Titus carried to the church (2 Cor 2:12-13; 7:6). Paul left Ephesus for Troas, hoping to find Titus there, When he did not, he continued on to Macedonia, where he found Titus, who brought an encouraging word about the church's repentance (2 Cor 7:13-15)." Titus had been involved in collecting the offering for the Jerusalem church (2 Cor 8:6; 16-17,23). He was a trusted member of Paul's inner circle. The Letter to Titus Though there are similarities between the contents of Titus and 1 Timothy there are also differences. The letter to Titus seems to relate to the situation of a young church in a pagan environment where the problems arise more from the need for instruction than from opposition. The insistence in 1 Timothy that elders should not be young in the faith is absent from Titus probably because there were none who had been Christians for many years. Mounce writes concerning the purpose of the letter: "There are two basic reasons for Paul's witing to Titus: (1) The first was to ask Titus to remain in Crete and care for the young church for the time being. This care included organisational issues, such as appointing qualified leadership (only five out of forty-six verses) and withstanding the opponents who are already experiencing success. Titus was also to teach the Cretan church basic catechesis, behaviour and beliefs that were derived from the truth of the two core theological formulations around which the epistle is built, Titus 2:11-14 and 3:4-7. One suspects that much of the teaching was intended for the church, not Titus, who already knew it, and as validation of Titus's authority (although this is not as pronounced as in 1 Timothy). The Cretan church did not apparently have the advantage of Paul's extended teaching ministry, as did the Ephesians, and the proverbial character of the Cretans (Titus 1:12) was proving itself true; therefore, Paul had to emphasise more of the basic teaching of theology, how conversion must lead to a life of obedience. (2) The second reason for writing was to ask Titus to encourage Zenus and Apollos, the carriers of the letter, on their way and to urge Titus to winter with Paul in Nicopolis when a replacement arrived." It is uncertain which of the two letters, 1 Timothy or Titus, was written first. Referenced Works Mounce, Willian D Word Biblical Commentary Vol 46: Pastoral Epistles, Nashville, Thomas Nelson, Week 125: Page 1

2 Day 622: Titus 1:1-4 Verse 1 Παῦλος δοῦλος θεοῦ, ἀπόστολος δὲ Ἰησοῦ Χριστοῦ κατὰ πίστιν ἐκλεκτῶν θεοῦ καὶ ἐπίγνωσιν ἀληθείας τῆς κατ εὐσέβειαν δουλος, ου m slave, servant "All people are in slavery to sin (cf. Rom 6:16; Gal 4:3, 8-9; Titus 3:3; cf. John 8:34) without choice. But once redeemed, they joyously become slaves of God (Rom 6:15-18, 20-23; 8:15; 1 Cor 7:22; Gal 4:4-5; cf. John 15:15) and are employed in his service." Mounce πιστις, εως f faith, belief, the Christian faith ἐκλεκτος, η, ον chosen Hendriksen argues that κατα here has the sense of, "in order to further or promote" i.e. is expressive of purpose. Mounce understands κατα here in a similar fashion, stating, "The purpose of Paul's apostleship is to bring God's elect to faith." ἐπιγνωσις, εως f knowledge, recognition "ἐπιγνωσις, 'knowledge,' is not only intellectual apprehension but also a fulness of understanding, in this context the type of understanding that results from experience (cf. εὐσεβεια, 'godliness,' below)." Mounce ἀληθεια, ας f truth, reality εὐσεβεια, ας f godliness, godly life "The goal of Paul's apostleship is the personal response of faith, a faith based on an accurate knowledge of the truth of the gospel, and a faith that naturally and necessarily shows itself in godly behaviour. Paul has encapsulated his answer to the problem of the PE, felt more emphatically in Ephesus but also present in Crete, that Christianity is based on the truth of the gospel and demands the response of faith lived out in a godly life." Mounce Verse 2 ἐπ ἐλπίδι ζωῆς αἰωνίου, ἣν ἐπηγγείλατο ὁ ἀψευδὴς θεὸς πρὸ χρόνων αἰωνίων, ἐπ expressing purpose (as κατα in the previous verse), but also goal. ἐλπις, ιδος f hope ζωη, ης f life αἰωνιος, ον eternal, everlasting ἐπηγγείλατο Verb, aor midd dep indic, 3 s ἐπαγγελλοµαι promise ἀψευδης, ες one who never lies, trustworthy Here alone in the NT. In early Christian literature the word is used of God alone. χρονος, ου m time, period of time αἰωνιος, ον eternal, everlasting God's plans for the salvation of his people were formed before the foundation of the world (cf. Rom 16:25; 1 Cor 2:7; 2 Tim 1:9 also Acts 7:17 and Eph. 1:4). Verse 3 ἐφανέρωσεν δὲ καιροῖς ἰδίοις τὸν λόγον αὐτοῦ ἐν κηρύγµατι ὃ ἐπιστεύθην ἐγω κατ ἐπιταγὴν τοῦ σωτῆρος ἡµῶν θεοῦ, φανεροω make known, reveal καιρος, ου m time, proper time ἰδιος, α, ον one's own Cf. 1 Tim 2:6. τον λογον is here the gospel, cf. 1 Tim 4:5. κηρυγµα, τος n what is preached, message ἐπιστεύθην Verb, aor pass indic, 3 s πιστευω believe (in), pass be entrusted (with) Cf. 1 Tim 1:11; 2:7. ἐπιταγη, ης f command, order, authority here the meaning is 'by order of.' σωτηρ, ηρος m saviour Verse 4 Τίτῳ γνησίῳ τέκνῳ κατὰ κοινὴν πίστιν χάρις καὶ εἰρήνη ἀπὸ θεοῦ πατρὸς καὶ Χριστοῦ Ἰησοῦ τοῦ σωτῆρος ἡµῶν. γνησιος, α, ον genuine, true, loyal τεκνον, ου n child Maybe Titus was converted under Paul's ministry. κοινος, α, ον common, in common May carry the sense of a common faith which now binds together Jew and Gentile, of which Paul and Titus are examples. εἰρηνη, ης f peace Cf. 1 Tim. 1:2; 2 Tim. 1:2. Day 623: Titus 1:5-9 Verse 5 Τούτου χάριν ἀπέλιπόν σε ἐν Κρήτῃ, ἵνα τὰ λείποντα ἐπιδιορθωσῃ καὶ καταστήσῃς κατὰ πόλιν πρεσβυτέρους, ὡς ἐγω σοι διεταξάµην, χαριν prep with gen for the sake of, because of ἀπέλιπόν Verb, aor act indic, 1 s & 3 pl ἀπολειπω leave behind Week 125: Page 2

3 Suggests Paul may have been in Crete ministering with Titus. σε Pronoun, acc s συ λειπω lack, fall short ἐπιδιορθωσῃ Verb, aor midd subj, 2 s ἐπιδιορθοω finish setting in order or set in order και The appointment of elders could be a separate task from the 'remaining things' or the και could be explicative, bearing the sense 'including' or 'especially.' καταστήσῃς Verb, aor act subj, 2 s καθιστηµι and καθιστανω put in charge, appoint In this church planting situation elders had to be appointed rather than be chosen. πολις, εως f city, town πρεσβυτερος, α, ον elder διεταξάµην Verb, aor midd indic, 1 s διατασσω command, give instructions Paul was a team worker, not attempting to do everything himself but delegating tasks to other members of his team. "Paul and Titus possibly had a missionary tour through Crete after Paul's release from the first Roman imprisonment,... but Paul left before he was able to set the Cretan church in order. So Titus stayed to finish the task, which included the appointment of overseers. Titus' job was twofold: to complete the organisation of the church in Crete and to preserve it from doctrinal contamination, the former being the first step towards the latter." Mounce Verse 6 εἴ τίς ἐστιν ἀνέγκλητος, µιᾶς γυναικὸς ἀνήρ, τέκνα ἔχων πιστά, µὴ ἐν κατηγορίᾳ ἀσωτίας ἢ ἀνυπότακτα. "εἰ τις, 'if anyone,' begins a conditional sentence that is never finished, but we can assume an apodosis such as 'let them serve.'" Mounce ἀνεγκλητος, ον beyond reproach, without fault εἱς, µια, ἑν gen ἐνος, µιας, ἑνος one γυνη, αικος f woman, wife ἀνηρ, ἀνδρος m man, husband Cf. 1 Tim 3:2. τεκνον, ου n child πιστος, η, ον faithful, trustworthy, believing The words that follow make it clear that the requirement is not that the children have to be believers but that they are to be faithful, or obedient, to their parents. It is not a requirement that the overseer have children, but only that if he has, they are submissive and not disorderly. On the qualifications for elders, cf 1 Tim 3. κατηγορια, ας charge, accusation ἀσωτια, ας f dissipation, reckless living Cf. 1 Peter 4:3-4, also Lk 15:13. ἠ or ἀνυποτακτος, ον disorderly, disobedient Verse 7 δεῖ γὰρ τὸν ἐπίσκοπον ἀνέγκλητον εἶναι ὡς θεοῦ οἰκονόµον, µὴ αὐθάδη, µὴ ὀργίλον, µὴ πάροινον, µὴ πλήκτην, µὴ αἰσχροκερδῆ, δει impersonal verb it is necessary, must, should ἐπισκοπος, ου m overseer; bishop Note that the elders are to be overseers, they are appointed to perform a task. "The switch from πρεσβυτερος, 'elder' (v 5), to the synonymous ἐπισκοπος, 'overseer,' shows an early date of writing, at a time when the offices and terminology had not yet had time to solidify... The same fluctuation occurs in Acts 20:17, 28 (cf. 1 Pet 5:1-2,5)." Mounce εἶναι Verb, pres infin εἰµι οἰκονοµος, ου m steward, manager Cf. 1 Tim 3: αὐθαδης, ες arrogant, self-willed Cf. 1 Peter 5:1-4 ὀργιλος, η, ον quick-tempered Here alone in the NT. παροινος, ου m drunkard, given to strong drink πληκτης, ου m a quick tempered or violent man αἰσχροκερδης, ες greedy for material gain This appears to have been a problem among Paul's opponents, cf. 1 Tim 3:3,8 also 1 Tim 6:5-10; Titus 1:11. The full time elder should be properly paid for the work he performs (1 Tim 5:17,18), but should not be greedy or grasping or "desire to be rich beyond one's needs." Mounce Verse 8 ἀλλὰ φιλόξενον, φιλάγαθον, σωφρονα, δίκαιον, ὅσιον, ἐγκρατῆ, φιλοξενος, ον hospitable Week 125: Page 3

4 Having an open and welcoming home, cf. 1 Tim 3:2. φιλαγαθος, ον loving of what is good Here alone in the NT. σωφρων, ον gen ονος sensible, selfcontrolled; chaste δικαιος, α, ον righteous, just ὁσιος, α, ον holy, devout Robert Murray McCheyne stated, "My people's greatest need is my personal holiness." ἐγκρατης, ες self-controlled, disciplined Verse 9 ἀντεχόµενον τοῦ κατὰ τὴν διδαχὴν πιστοῦ λόγου, ἵνα δυνατὸς ᾖ καὶ παρακαλεῖν ἐν τῇ διδασκαλίᾳ τῇ ὑγιαινούσῃ καὶ τοὺς ἀντιλέγοντας ἐλέγχειν. ἀντεχοµαι be loyal to, hold firmly to διδαχη, ης f teaching, what is taught κατα την διδαχην implies a body of instruction passed on to Titus and/or the church in Crete by Paul the apostolic teaching. πιστος, η, ον faithful, trustworthy, reliable δυνατος, η, ον possible, powerful, able ᾖ Verb, pres subj, 3s εἰµι παρακαλεω exhort, encourage, urge διδασκαλια, ας f teaching, doctrine ὑγιαινούσῃ Verb, pres act ptc, f dat s ὑγιαινω be sound, be in good health Cf. 1 Tim 1:10. ἀντιλεγω object to, oppose ἐλεγχω show (someone his) fault, convince (someone of his) error, convict He is to build up the believer and to refute those who oppose the Gospel, cf. 1 Tim 3:2; 2 Tim 4:2. Day 624: Titus 1:10-16 Verse 10 Εἰσὶν γὰρ πολλοὶ [καὶ] ἀνυπότακτοι, µαταιολόγοι καὶ φρεναπάται, µάλιστα οἱ ἐκ τῆς περιτοµῆς, "The γαρ, 'for,' shows the relationship between vv and the preceding vv 5-9. Titus must appoint qualified people to church leadership because there are many wicked people in Crete who would destroy the church if they could." Mounce πολυς, πολλη, πολυ gen πολλου, ης, ου much, many και is present in D G I K Ψ TR et al but is omitted from א A C P et al. Metzger comments, "It is difficult to decide whether και was added in accordance with the rhetorical usage known as hendiadys, or whether it was omitted by copyists who, not appreciating such usage, deleted it both as unnecessary and apparently disturbing to the sense." ἀνυποτακτος, ον disorderly, disobedient Rebels against the gospel. µαταιολογος, ου m empty talker Cf. 1 Tim 1:6. φρεναπατης, ου m deceiver Here only in the NT. µαλιστα especially περιτοµη, ης f circumcision, those circumcised, Jews The false teaching was Jewish in origin though it had clear Hellenistic/gnostic elements to it. Verse 11 οὓς δεῖ ἐπιστοµίζειν, οἵτινες ὅλους οἴκους ἀνατρέπουσιν διδάσκοντες ἃ µὴ δεῖ αἰσχροῦ κέρδους χάριν. δει impersonal verb it is necessary, must, should ἐπιστοµιζω silence "Just how this silencing should be done is not indicated in the present passage. See however on 1 Tim 1:3,4; 1:20; 4:7; 2 Tim 2:16, 21, 23; 4:2; Titus 1:13b; 3:10. At first the errorist should be tenderly admonished so that he may be won for the truth. If he refuses, he must be sharply reprimanded and told to desist. The person who persists in his evil ways must be shunned by the church and disciplined." Hendriksen οἵτινες Pronoun, m nom pl ὁστις, ἡτις, ὁ τι who, which ὁλος, η, ον whole, complete, entire οἰκος, ου m house, household ἀνατρεπω overturn, bring ruin to Cf. 2 Tim 2:18. διδασκω teach αἰσχρος, α, ον disgraceful, shameful, dishonest Elsewhere in NT occurs only in the compound αἰσχροκερδης κερδος, ους n gain χαριν prep with gen for the sake of Their concern is for money and prestige. Week 125: Page 4

5 Verse 12 εἶπέν τις ἐξ αὐτῶν, ἴδιος αὐτῶν προφήτης, Κρῆτες ἀεὶ ψεῦσται, κακὰ θηρία, γαστέρες ἀργαί. ἰδιος, α, ον one's own προφητης, ου m prophet The quotation that follows is believed to come from Epimenedes, a poet from Cnossus in northern Crete, who wrote somewhere between 630 and 500 B.C. This is how the character of the Cretans is painted by one of their own number. Κρης, ητος m a Cretan ἀει always, constantly ψευστης, ου m liar κακος, η, ον evil, bad, wrong, harm θηριον, ου n animal, beast γαστηρ, τρος f womb; glutton ἀργος, η, ον idle; lazy; useless Verse 13 ἡ µαρτυρία αὕτη ἐστὶν ἀληθής. δι ἣν αἰτίαν ἔλεγχε αὐτοὺς ἀποτόµως, ἵνα ὑγιαίνωσιν ἐν τῇ πίστει, µαρτυρια, ας f testimony, witness ἀληθης, ες true, truthful, honest Paul adds his authority to the saying. αἰτια, ας f reason, cause ἐλεγχω show (someone his) fault, rebuke ἀποτοµως sharply, severely ὑγιαινω be sound, be in good health The third person plural here surely refers to the Christians in Crete though it could refer to the false teachers who are to be rebuked. πίστει Noun, dat s πιστις, εως f faith Verse 14 µὴ προσέχοντες Ἰουδαϊκοῖς µύθοις καὶ ἐντολαῖς ἀνθρωπων ἀποστρεφοµένων τὴν ἀλήθειαν. προσεχω pay close attention to, hold on to, be devoted to Cf. 1 Tim 1:4. Ἰουδαϊκος, η, ον Jewish µυθος, ου m myth, fanciful story "Refers to stories the opponents had created around minor OT characters, stories that contained their secret knowledge (cf. 1 Tim 1:4)." Mounce ἐντολη, ης f command, order, instruction ἐντολαῖς ἀνθρωπων "Refers in part to the opponents' ascetic teachings (cf. 1 Tim 4:3-5), a ritualism that replaced true worship." Mounce. Cf also Isa 29:13 LXX cited in Matt 15:9; Mk 7:7. ἀποστρεφω turn away; midd turn away from, reject, desert ἀληθεια, ας f truth, reality I.e. the gospel. Verse 15 πάντα καθαρὰ τοῖς καθαροῖς τοῖς δὲ µεµιαµµένοις καὶ ἀπίστοις οὐδὲν καθαρόν, ἀλλὰ µεµίανται αὐτῶν καὶ ὁ νοῦς καὶ ἡ συνείδησις. καθαρος, α, ον pure, clean, innocent In the context of "commandments of men" (v.14) this is probably reference to the Jewish food laws (cf. 1 Tim 4:3). "Paul's opponents were evidently teaching that one could attain ritual purity by following the ascetic laws. Paul asserts, rather, that those who are morally defiled and do not believe cannot be made acceptable to God even by ritual purity because everything about them is unclean." Mounce. µεµιαµµένοις Verb, perf pass ptc, m & n dat pl µιαινω defile, contaminate ἀπιστος, ον unfaithful, unbelieving οὐδεις, οὐδεµια, οὐδεν µεµίανται Verb, perf pass indic, 3 pl µιαινω νους, νοος, νοι, νουν m mind, understanding συνειδησις, εως f Cf. Mark 7:7. no one, nothing conscience Verse 16 θεὸν ὁµολογοῦσιν εἰδέναι, τοῖς δὲ ἔργοις ἀρνοῦνται, βδελυκτοὶ ὄντες καὶ ἀπειθεῖς καὶ πρὸς πᾶν ἔργον ἀγαθὸν ἀδόκιµοι. ὁµολογεω confess, declare εἰδέναι Verb, perf act infin οἰδα (verb perf in form but with present meaning) know ἀρνεοµαι deny, disown Cf. 2 Tim 3:5. βδελυκτος, η, ον detestable, vile Particularly what is detestable to God. ἀπειθεῖς Adjective, m & f, nom/acc pl ἀπειθης, ες disobedient, rebellious ἀγαθος, η, ον good, useful, fitting Cf. Titus 2:14. ἀδοκιµος, ον failing to meet the test, worthless Week 125: Page 5

6 "Titus 1:16 is the hinge verse of the entire epistle. The opponents claimed to know God, but their godless lives showed that they did not, and as a result they were not living out their salvation as God intended, pursuing good works. The essence of the Cretan theology was that they thought that belief and practice could be separated, and Paul spends most of the rest of the letter arguing that God's salvific work and the believer's life of obedience must go hand in hand. Of course, this zeal for good works commended by Paul cannot earn salvation, but it is the necessary corollary to God's salvation and is in line with his original intent." Mounce. Day 625: Titus 2:1-5 Verses 1-10 Verses 1-10 are reminiscent of 1 Tim 5:1-2, addressing groups by age and sex. Verse 1 Σὺ δὲ λάλει ἃ πρέπει τῇ ὑγιαινούσῃ διδασκαλίᾳ. λαλεω speak, talk πρεπει impers verb it is fitting, it is proper ὑγιαινούσῃ Verb, pres act ptc, f dat s ὑγιαινω see 1:13 A key word in these exhortations, cf. vv 2,8, also 1:9. διδασκαλια, ας f teaching, doctrine Christian teaching or doctrine is not simply a set of ideas, it encompasses also a pattern of life which reflects the character of Christ and adorns the gospel we profess. Verse 2 πρεσβύτας νηφαλίους εἶναι, σεµνούς, σωφρονας, ὑγιαίνοντας τῇ πίστει, τῇ ἀγάπῃ, τῇ ὑποµονῇ. πρεσβυτης, ου old man, elderly man νηφαλιος, α, ον temperate, sober Cf. 1 Tim 3:2. εἶναι Verb, pres infin εἰµι σεµνος, η, ον serious; of good character, dignified σωφρων, ον gen ονος sensible, selfcontrolled; chaste, modest (of women) Able to act wisely and in a restrained manner. ὑγιαινω see 1:13 for this phrase ὑποµονη, ης f patience, endurance The definite article included with each of the three virtues mentioned implies that it is not just any old faith, love and patience that Paul has in mind: he is speaking of the Christian faith, Christian love, flowing from a knowledge of the character of God's love to us in Christ, and Christian patience, rooted in the certain hope of glory. The same trilogy occurs in 1 Tim 6:11; 2 Tim 3:10 and 1 Thess 1:3. Verse 3 πρεσβύτιδας ὡσαύτως ἐν καταστήµατι ἱεροπρεπεῖς, µὴ διαβόλους µηδὲ οἴνῳ πολλῷ δεδουλωµένας, καλοδιδασκάλους, πρεσβυτις, ιδος f old or elderly woman A church should consist of people of all types and ages, reflecting the diversity of the people of God. 'Youth churches' are contradictions in terms. The teaching in the church is to reflect that diversity, including instruction for all ages and needs. ὡσαυτως adv in the same way, likewise καταστηµα, τος n behaviour, way of life ἱεροπρεπης, ες reverent Here alone in the NT. It refers to conduct approriate for a temple. "The simple meaning is that we must take seriously the fact that we belong to God." TDNT διαβολος, ον given to malicious gossip Cf. 1 Tim 3:11. Those given to malicious gossip are doing the devil's work. οἰνος, ου m wine πολυς, πολλη, πολυ gen πολλου, ης, ου much, many δεδουλωµένας Verb, perf pass ptc, f acc pl δουλοω enslave καλοδιδασκαλος, ον teaching what is good The word occurs only here in Greek literature and may have been coined by Paul. The meaning is elaborated in the following verses. It refers to informal instruction of the younger women. Verse 4 ἵνα σωφρονίζωσιν τὰς νέας φιλάνδρους εἶναι, φιλοτέκνους, σωφρονιζω train, teach, advise, encourage νεος, α, ον new, fresh, young φιλανδρος loving one's husband "Especially appropriate in a culture where husbands were not chosen by the wife." Mounce εἶναι Verb, pres infin εἰµι φιλοτεκνος, ον loving one's children Week 125: Page 6

7 Verse 5 σωφρονας, ἁγνάς, οἰκουργούς ἀγαθάς, ὑποτασσοµένας τοῖς ἰδίοις ἀνδράσιν, ἵνα µὴ ὁ λόγος τοῦ θεοῦ βλασφηµῆται. σωφρων, ον gen ονος see v.2 ἁγνος, η, ον pure, holy, innocent, chaste οἰκουργος, ον devoted to home duties "Contrasts with the conduct of the younger Ephesian widows who were lazy and ran from house to house (1 Tim 5:13)." Mounce. ἀγαθος, η, ον good, useful, fitting ὑποτασσοµένας Verb, pres pass ptc, f acc pl ὑποτασσω subordinate; pass. be subject, submit to, obey "By specifying ἰδιοις, 'one's own,' Paul emphasisies that the submission is not of one gender to another but of the wife to her husband." Mounce βλασφηµῆται Verb, pres pass subj, 3 s βλασφηµεω speak against, slander, insult Cf. the similar reason given for the conduct sought of younger men (v 8) and slaves (v 10). Week 125: Page 7

Notes on the Greek New Testament Day 299 October 26 th Titus 1:1-16

Notes on the Greek New Testament Day 299 October 26 th Titus 1:1-16 Titus the Man Notes on the Greek New Testament Day 299 October 26 th Titus 1:1-16 Titus is not mentioned in Acts, but he does play a prominent role in 2 Corinthians. Mounce writes, "According to the traditional

Διαβάστε περισσότερα

Leadership Grid. Greek 1 Tim 3:1-7; 5: Tim 3:8-13 Titus 1:6-9 IMPORTANCE. appoint elders in every town, as I directed you

Leadership Grid. Greek 1 Tim 3:1-7; 5: Tim 3:8-13 Titus 1:6-9 IMPORTANCE. appoint elders in every town, as I directed you Greek 1 Tim 3:1-7; 5:17-25 1 Tim -13 Titus -9 IMPORTANCE Nobility of leadership 3:1 5:17 1:5 πιστὸς ὁ λόγος. Εἴ τις ἐπισκοπῆς ὀρέγεται, καλοῦ ἔργου ἐπιθυµεῖ. Οἱ καλῶς προεστῶτες πρεσβύτεροι διπλῆς τιµῆς

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

Leadership Grid. Interpreta(on Greek 1 Tim 3:1-7 1 Tim 3:8-13 Titus 1:6-9

Leadership Grid. Interpreta(on Greek 1 Tim 3:1-7 1 Tim 3:8-13 Titus 1:6-9 Importance Leading is an important task, and therefore elders must be a certain type of person. Εἴ τις ἐπισκοπῆς ὀρέγεται, καλοῦ ἔργου ἐπιθυµεῖ. δεῖ δὲ καὶ Οἱ καλῶς προεστῶτες πρεσβύτεροι διπλῆς τιµῆς

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

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

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

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

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

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

Chapter 29. Adjectival Participle

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

Διαβάστε περισσότερα

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

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

WEEK 21. The Feast of Firstfruits, the Feast of Pentecost, and the Feast of Tabernacles OUTLINE DAY 1

WEEK 21. The Feast of Firstfruits, the Feast of Pentecost, and the Feast of Tabernacles OUTLINE DAY 1 WEEK 21 The Feast of Firstfruits, the Feast of Pentecost, and the Feast of Tabernacles OUTLINE DAY 1 I. The Feast of Firstfruits signifies the resurrected Christ as the firstfruits for our enjoyment as

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Διαβάστε περισσότερα

1999 MODERN GREEK 2 UNIT Z

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

Διαβάστε περισσότερα

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

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

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

ΑΝΑΠΤΥΞΗ ΠΡΟΓΡΑΜΜΑΤΩΝ ΕΚΠΑΙΔΕΥΣΗΣ ΜΕ ΣΤΟΧΟ ΤΗΝ ΠΕΡΙΒΑΛΛΟΝΤΙΚΗ ΕΥΑΙΣΘΗΤΟΠΟΙΗΣΗ ΑΤΟΜΩΝ ΜΕ ΕΙΔΙΚΕΣ ΑΝΑΓΚΕΣ ΚΑΙ ΤΗΝ ΚΟΙΝΩΝΙΚΗ ΤΟΥΣ ΕΝΣΩΜΑΤΩΣΗ

ΑΝΑΠΤΥΞΗ ΠΡΟΓΡΑΜΜΑΤΩΝ ΕΚΠΑΙΔΕΥΣΗΣ ΜΕ ΣΤΟΧΟ ΤΗΝ ΠΕΡΙΒΑΛΛΟΝΤΙΚΗ ΕΥΑΙΣΘΗΤΟΠΟΙΗΣΗ ΑΤΟΜΩΝ ΜΕ ΕΙΔΙΚΕΣ ΑΝΑΓΚΕΣ ΚΑΙ ΤΗΝ ΚΟΙΝΩΝΙΚΗ ΤΟΥΣ ΕΝΣΩΜΑΤΩΣΗ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΙΑΣ ΠΑΙΔΑΓΩΓΙΚΟ ΤΜΗΜΑ ΕΙΔΙΚΗΣ ΑΓΩΓΗΣ ΧΡΙΣΤΙΝΑ Σ. ΛΑΠΠΑ ΑΝΑΠΤΥΞΗ ΠΡΟΓΡΑΜΜΑΤΩΝ ΕΚΠΑΙΔΕΥΣΗΣ ΜΕ ΣΤΟΧΟ ΤΗΝ ΠΕΡΙΒΑΛΛΟΝΤΙΚΗ ΕΥΑΙΣΘΗΤΟΠΟΙΗΣΗ ΑΤΟΜΩΝ ΜΕ ΕΙΔΙΚΕΣ ΑΝΑΓΚΕΣ ΚΑΙ ΤΗΝ ΚΟΙΝΩΝΙΚΗ ΤΟΥΣ

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

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

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

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

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

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

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

ST5224: Advanced Statistical Theory II

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

Διαβάστε περισσότερα

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

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

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

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

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

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

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

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

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

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

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

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

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

Lecture 2. Soundness and completeness of propositional logic

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

Διαβάστε περισσότερα

Croy Lessons Participles

Croy Lessons Participles A Croy Lessons 18-20 Participles Aorist (Act/Mid/Dep Dep) ) Participles Adjectival and Substantive Ω STEM + TENSE + THEME + PTCP CODE + ENDING PARTICIPLE CODES CASE ENDINGS ντ - masc and neut active (and

Διαβάστε περισσότερα

Conditional Sentences

Conditional Sentences Conditional Sentences It all depends! A lesson for the Paideia web-app Ian W. Scott, 2015 What is a conditional sentence? An If then sentence States that something will happen if some condition is fulfilled

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

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

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

«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

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

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

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

ΑΛΕΞΑΝΔΡΟΣ ΠΑΛΛΗΣ SCHOOLTIME E-BOOKS

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

Διαβάστε περισσότερα

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

ΣΤΥΛΙΑΝΟΥ ΣΟΦΙΑ Socm09008@soc.aegean.gr

ΣΤΥΛΙΑΝΟΥ ΣΟΦΙΑ Socm09008@soc.aegean.gr ΠΑΝΕΠΙΣΤΗΜΙΟ ΑΙΓΑΙΟΥ ΣΧΟΛΗ ΚΟΙΝΩΝΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΤΜΗΜΑ ΚΟΙΝΩΝΙΟΛΟΓΙΑΣ ΜΕΤΑΠΤΥΧΙΑΚΟ ΠΡΟΓΡΑΜΜΑ ΣΠΟΥΔΩΝ «ΕΡΕΥΝΑ ΓΙΑ ΤΗΝ ΤΟΠΙΚΗ ΚΟΙΝΩΝΙΚΗ ΑΝΑΠΤΥΞΗ ΚΑΙ ΣΥΝΟΧΗ» ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ Θέμα: Διερεύνηση των απόψεων

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

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

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

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

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

εἶμι, φημί, Indirect Discourse Intensive Classical Greek Prof. Kristina Chew June 28, 2016

εἶμι, φημί, Indirect Discourse Intensive Classical Greek Prof. Kristina Chew June 28, 2016 εἶμι, φημί, Indirect Discourse Intensive Classical Greek Prof. Kristina Chew June 28, 2016 Conditional Relative Clauses relative clauses referring to an indefinite person or thing (whoever, whatever, anyone,

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

Fourier Series. MATH 211, Calculus II. J. Robert Buchanan. Spring Department of Mathematics

Fourier Series. MATH 211, Calculus II. J. Robert Buchanan. Spring Department of Mathematics Fourier Series MATH 211, Calculus II J. Robert Buchanan Department of Mathematics Spring 2018 Introduction Not all functions can be represented by Taylor series. f (k) (c) A Taylor series f (x) = (x c)

Διαβάστε περισσότερα

Στεγαστική δήλωση: Σχετικά με τις στεγαστικές υπηρεσίες που λαμβάνετε (Residential statement: About the residential services you get)

Στεγαστική δήλωση: Σχετικά με τις στεγαστικές υπηρεσίες που λαμβάνετε (Residential statement: About the residential services you get) Νόμος περί Αναπηριών 2006 (Disability Act 2006) Στεγαστική δήλωση: Σχετικά με τις στεγαστικές υπηρεσίες που λαμβάνετε (Residential statement: About the residential services you get) Greek Νόμος περί Αναπηριών

Διαβάστε περισσότερα

The Accusative Case. A Target for the Action. A lesson for the Paideia web-app Ian W. Scott, 2015

The Accusative Case. A Target for the Action. A lesson for the Paideia web-app Ian W. Scott, 2015 The Accusative Case A Target for the Action A lesson for the Paideia web-app Ian W. Scott, 2015 The Accusative Case So far we've seen three noun cases Nominative Genitive Vocative We need one more case

Διαβάστε περισσότερα

Final Test Grammar. Term C'

Final Test Grammar. Term C' Final Test Grammar Term C' Book: Starting Steps 1 & Extra and Friends Vocabulary and Grammar Practice Class: Junior AB Name: /43 Date: E xercise 1 L ook at the example and do the same. ( Κξίηα ηξ παοάδειγμα

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

Living and Nonliving Created by: Maria Okraska

Living and Nonliving Created by: Maria Okraska Living and Nonliving Created by: Maria Okraska http://enchantingclassroom.blogspot.com Living Living things grow, change, and reproduce. They need air, water, food, and a place to live in order to survive.

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

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

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

Διαβάστε περισσότερα

ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ. Τα γνωστικά επίπεδα των επαγγελματιών υγείας Στην ανοσοποίηση κατά του ιού της γρίπης Σε δομές του νομού Λάρισας

ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ. Τα γνωστικά επίπεδα των επαγγελματιών υγείας Στην ανοσοποίηση κατά του ιού της γρίπης Σε δομές του νομού Λάρισας ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΙΑΣ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ ΤΜΗΜΑ ΙΑΤΡΙΚΗΣ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΠΡΩΤΟΒΑΘΜΙΑ ΦΡΟΝΤΙΔΑ ΥΓΕΙΑΣ ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ Τα γνωστικά επίπεδα των επαγγελματιών υγείας Στην ανοσοποίηση

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

ΓΕΩΠΟΝΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΑΘΗΝΩΝ ΤΜΗΜΑ ΕΠΙΣΤΗΜΗΣ ΤΡΟΦΙΜΩΝ ΚΑΙ ΔΙΑΤΡΟΦΗΣ ΤΟΥ ΑΝΘΡΩΠΟΥ

ΓΕΩΠΟΝΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΑΘΗΝΩΝ ΤΜΗΜΑ ΕΠΙΣΤΗΜΗΣ ΤΡΟΦΙΜΩΝ ΚΑΙ ΔΙΑΤΡΟΦΗΣ ΤΟΥ ΑΝΘΡΩΠΟΥ ΓΕΩΠΟΝΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΑΘΗΝΩΝ ΤΜΗΜΑ ΕΠΙΣΤΗΜΗΣ ΤΡΟΦΙΜΩΝ ΚΑΙ ΔΙΑΤΡΟΦΗΣ ΤΟΥ ΑΝΘΡΩΠΟΥ Πρόγραμμα Μεταπτυχιακών Σπουδών «Επιστήμη και Τεχνολογία Τροφίμων και Διατροφή του Ανθρώπου» Κατεύθυνση: «Διατροφή, Δημόσια

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 9: Inversion Το περιεχόμενο του μαθήματος διατίθεται με άδεια Creative Commons εκτός

Διαβάστε περισσότερα

PARTIAL NOTES for 6.1 Trigonometric Identities

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

Διαβάστε περισσότερα

Statistical Inference I Locally most powerful tests

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

Διαβάστε περισσότερα

Dynamic types, Lambda calculus machines Section and Practice Problems Apr 21 22, 2016

Dynamic types, Lambda calculus machines Section and Practice Problems Apr 21 22, 2016 Harvard School of Engineering and Applied Sciences CS 152: Programming Languages Dynamic types, Lambda calculus machines Apr 21 22, 2016 1 Dynamic types and contracts (a) To make sure you understand the

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

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

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

Πτυχιακή Εργασία. Παραδοσιακά Προϊόντα Διατροφική Αξία και η Πιστοποίηση τους

Πτυχιακή Εργασία. Παραδοσιακά Προϊόντα Διατροφική Αξία και η Πιστοποίηση τους ΑΛΕΞΑΝΔΡΕΙΟ ΤΕΧΝΟΛΟΓΙΚΟ ΕΚΠΑΙΔΕΥΤΙΚΟ ΙΔΡΥΜΑ ΣΧΟΛΗ ΤΕΧΝΟΛΟΓΙΑΣ ΤΡΟΦΙΜΩΝ ΚΑΙ ΔΙΑΤΡΟΦΗΣ ΤΜΗΜΑ ΔΙΑΤΡΟΦΗΣ ΚΑΙ ΔΙΑΙΤΟΛΟΓΙΑΣ Πτυχιακή Εργασία Παραδοσιακά Προϊόντα Διατροφική Αξία και η Πιστοποίηση τους Εκπόνηση:

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

ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ - ΤΜΗΜΑ ΠΛΗΡΟΦΟΡΙΚΗΣ ΕΠΛ 133: ΑΝΤΙΚΕΙΜΕΝΟΣΤΡΕΦΗΣ ΠΡΟΓΡΑΜΜΑΤΙΣΜΟΣ ΕΡΓΑΣΤΗΡΙΟ 3 Javadoc Tutorial

ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ - ΤΜΗΜΑ ΠΛΗΡΟΦΟΡΙΚΗΣ ΕΠΛ 133: ΑΝΤΙΚΕΙΜΕΝΟΣΤΡΕΦΗΣ ΠΡΟΓΡΑΜΜΑΤΙΣΜΟΣ ΕΡΓΑΣΤΗΡΙΟ 3 Javadoc Tutorial ΕΡΓΑΣΤΗΡΙΟ 3 Javadoc Tutorial Introduction Το Javadoc είναι ένα εργαλείο που παράγει αρχεία html (παρόμοιο με τις σελίδες στη διεύθυνση http://docs.oracle.com/javase/8/docs/api/index.html) από τα σχόλια

Διαβάστε περισσότερα

Θέμα διπλωματικής εργασίας: «Από το «φρενοκομείο» στη Λέρο και την Ψυχιατρική Μεταρρύθμιση: νομικό πλαίσιο και ηθικοκοινωνικές διαστάσεις»

Θέμα διπλωματικής εργασίας: «Από το «φρενοκομείο» στη Λέρο και την Ψυχιατρική Μεταρρύθμιση: νομικό πλαίσιο και ηθικοκοινωνικές διαστάσεις» ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΣΧΟΛΕΣ ΙΑΤΡΙΚΗΣ & ΟΔΟΝΤΙΑΤΡΙΚΗΣ ΤΜΗΜΑΤΑ ΝΟΜΙΚΗΣ & ΘΕΟΛΟΓΙΑΣ ΔΙΑΤΜΗΜΑΤΙΚΟ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ «ΣΥΓΧΡΟΝΕΣ ΙΑΤΡΙΚΕΣ ΠΡΑΞΕΙΣ: ΔΙΚΑΙΙΚΗ ΡΥΘΜΙΣΗ ΚΑΙ ΒΙΟΗΘΙΚΗ

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

Summer Greek. Lesson 3. NOUNS GENDER (does not refer to fe/male) masculine feminine neuter NUMBER singular plural. NOUNS -Case.

Summer Greek. Lesson 3. NOUNS GENDER (does not refer to fe/male) masculine feminine neuter NUMBER singular plural. NOUNS -Case. A Summer Greek Lesson 3 Ω Parts of Speech NOUN- person, place, thing, quality, idea, or action ARTICLE Indefinite = a / an ; Definite = the ADJECTIVE- describes a noun (includes in/definite articles) PRONOUN-word

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