Notes on the Greek New Testament Week 71 2 Thessalonians 2:5-3:18
|
|
- Ῥαάβ Ιωαννίδης
- 7 χρόνια πριν
- Προβολές:
Transcript
1 Notes on the Greek New Testament Week 71 2 Thessalonians 2:5-3:18 Day 351: 2 Thessalonians 2:5-12 Verse 5 Οὐ µνηµονεύετε ὅτι ἔτι ὢν πρὸς ὑµᾶς ταῦτα ἔλεγον ὑµῖν; µνηµονευω remember, keep in mind ἐτι still, yet, moreover ελεγον the imperfect suggests repeated teaching on this subject. Verse 6 καὶ νῦν τὸ κατέχον οἴδατε, εἰς τὸ ἀποκαλυφθῆναι αὐτὸν ἐν τῷ ἑαυτοῦ καιρῷ. κατέχον Verb, pres act ptc, n nom/acc s κατεχω hold fast, keep, restrain Conventionaly thought here to mean 'hold back' or 'restrain,' though the verb can also mean 'hold fast.' It is difficult for us to be certain of Paul's meaning. οἰδα know, understand At present there is something that restrains the manifestation of the Man of Lawlessness. It is difficult for us to know what Paul was referring to here though clearly he had told the Thessalonians. It is wise for us to avoid dogmatic assertions since they can only be speculative. ἀποκαλυφθῆναι Verb, aor pass infin ἀποκαλυπτω see v.3 ἑαυτος, ἑαυτη, ἑαυτον him/her/itself καιρος, ου m time, appointed time What is clear is that God is in control. The Man of Lawlessness will only be revealed at the time of God's appointment. Verse 7 τὸ γὰρ µυστήριον ἤδη ἐνεργεῖται τῆς ἀνοµίας µόνον ὁ κατέχων ἄρτι ἕως ἐκ µέσου γένηται. µυστηριον, ου n secret, mystery "The use of the term here reminds us that there are secrets as well as sin. We can never, by our own reasoning, plumb the depths of iniquity, the reason for its existence, or the manner of its working. Paul points out that even as he writes there is a secret activity of lawlessness at work. The explanation of it all is not open to us, but the fact of its being in operation is clear enough." ἠδη adv now, already ἐνεργεω work, be at work (in) ἀνοµια, ας f see v.3 The forces of Satan are clearly already at work in opposition to the work of God, though they are restrained. µονος, η, ον i) adj only, alone; ii) adv µονον only, alone κατεχω see v.6 ἀρτι now, at the present ἑως until µεσος, η, ον middle γένηται Verb, aor subj, 3 s γινοµαι Verse 8 καὶ τότε ἀποκαλυφθήσεται ὁ ἄνοµος, ὃν ὁ κύριος [Ἰησοῦς] ἀνελεῖ τῷ πνεύµατι τοῦ στόµατος αὐτοῦ καὶ καταργήσει τῇ ἐπιφανείᾳ τῆς παρουσίας αὐτοῦ, τοτε then, at that time ἀποκαλυφθήσεται Verb, fut pass indic, 3 s ἀποκαλυπτω see v.3 ἀνοµος, ον lawless, outside the law ἀνελεῖ Verb, fut act indic, 3 s ἀναιρεω do away with, kill, destroy στοµα, τος n mouth, utterance Emphasises the ease with which Christ destroys the final rebellion with a word. καταργεω render ineffective, do away with ἐπιφανεια, ας f appearing, appearance παρουσια, ας see 1 Tess 2:19 What is clear from this passage is the outcome of this final unrestrained rebellion. Verse 9 οὗ ἐστιν ἡ παρουσία κατ ἐνέργειαν τοῦ Σατανᾶ ἐν πάσῃ δυνάµει καὶ σηµείοις καὶ τέρασιν ψεύδους οὑ refers to the lawless one who, in many ways, counterfeits Christ. παρουσια, ας f coming, arrival, presence ἐνεργεια, ας f (supernatural) working, power δυνάµει Noun, dat s δυναµις σηµειον, ου n miraculous sign, sign τερας, ατος n wonder, object of wonder ψευδος, ους n lie, untruth, that which is false/imitation The signs and miracles will be real enough but they are part of a plan of deception, a show designed to lead people astray. Week 71: Page 1
2 Verse 10 καὶ ἐν πάσῃ ἀπάτῃ ἀδικίας τοῖς ἀπολλυµένοις, ἀνθ ὧν τὴν ἀγάπην τῆς ἀληθείας οὐκ ἐδέξαντο εἰς τὸ σωθῆναι αὐτούς. ἀπατη, ης f deception ἀδικια, ας f wrongdoing, evil, sin ἀπολλυµι destroy, kill, lose; midd be lost, perish, die ἀνθ ὡν because, therefore ἀληθεια, ας f truth, reality; ἐν ἀ. truly The truth of the Gospel is not an abstract philosopy but a revelation of the purposes of God to be embraced in love. σωζω save, rescue, heal Verse 11 καὶ διὰ τοῦτο πέµπει αὐτοῖς ὁ θεὸς ἐνέργειαν πλάνης εἰς τὸ πιστεῦσαι αὐτοὺς τῷ ψεύδει, πεµπω send The present tense may express the certainty of the future event or it "may also carry a hint that what will take place on the grand scale when the Man of Lawlessness comes is even now at work in principle in the case of lesser people Whenever people refuse the truth, God sends the working of error." ἐνεργεια, ας see v.9 πλανη, ης f error, deceit, deception ψευδος, ους see v.9 Even in the deception suffered by many, God remains sovereign, yet (v.12) man remains responsible and answerable. "Men start by rejecting the Gospel voluntarily; they then reach the stage when they are unable to tell what is gospel and what is fallacy. This is the powerful 'delusion' which Paul rightly regards as an Act of God." Neil Verse 12 ἵνα κριθῶσιν πάντες οἱ µὴ πιστεύσαντες τῇ ἀληθείᾳ ἀλλὰ εὐδοκήσαντες τῇ ἀδικίᾳ. κριθῶσιν Verb, aor pass subj, 3 pl κρινω judge, pass judgement on, condemn πάντες Adjective, m nom pl πας ἀληθεια, ας f truth, reality εὐδοκήσαντες Verb, aor act ptc, m nom pl εὐδοκεω be pleased, take pleasure in They are not passive agents in the rebellion against God. ἀδικια, ας f wrongdoing, evil, sin "The stark contrast reminds us that ultimately we must belong to one or other of two classes, namely, those who love God's truth and those who take their pleasure in wickedness. Those who begin by failing to accept God's good gift end by setting forward unrighteousness. Notice the way in which they become perverted. These people are not described as sinning through force of circumstance or any form of compulsion. They now find their pleasure in sin. They delight in wrong. For them evil has become good." Day 352: 2 Thessalonians 2:13-17 Verse 13 Ἡµεῖς δὲ ὀφείλοµεν εὐχαριστεῖν τῷ θεῷ πάντοτε περὶ ὑµῶν, ἀδελφοὶ ἠγαπηµένοι ὑπὸ κυρίου, ὅτι εἵλατο ὑµᾶς ὁ θεὸς ἀπαρχὴν εἰς σωτηρίαν ἐν ἁγιασµῷ πνεύµατος καὶ πίστει ἀληθείας, ὀφειλω owe, ought, must εὐχαριστεω thank, give thanks παντοτε always ἠγαπηµένοι Verb, perf pass ptc, m nom pl ἀγαπαω εἵλατο Verb, aor midd indic, 3 s αἱρεοµαι choose ἀπαρχη, ης f firstfruit, first portion The variant readings ἀπ ἀρχης and ἀπαρχην are both well supported in MSS, versions and patristic citations. The UBS committee favoured ἀπαρχην on the grounds that ἀπ ἀρχης occurs nowhere else in Paul who generaly uses ἀρχη in the sense of 'power.' Bruce also favours this reading, understanding it as a title for the church of God., however, believes that transcriptional probabilities favour ἀπ ἀρχης for the very reason that it is not a typical Pauline expression. He adds, "Moreover, while Paul employs the concept of firstfruits on a number of occasions, he never elsewhere connects it with election. On the other hand, he often associates election with some expression rooting it in the beginning. A further point militating against ἀπαρχην is the absence of a qualifying genitive, which, as Frame points out, is usual in Paul's use of that noun." σωτηρια, ας f salvation ἁγιασµος, ου m sanctification, holiness πίστει Noun, dat s πιστις ἀληθεια, ας f truth, reality suggests that the final expression may be intended to highlight the divine and human aspects of salvation. Week 71: Page 2
3 Verse 14 εἰς ὃ [καὶ] ἐκάλεσεν ὑµᾶς διὰ τοῦ εὐαγγελίου ἡµῶν, εἰς περιποίησιν δόξης τοῦ κυρίου ἡµῶν Ἰησοῦ Χριστοῦ. εὐαγγελιον, ου n good news, gospel περιποιησις, εως f obtaining, gaining Verse 15 ἄρα οὖν, ἀδελφοί, στήκετε, καὶ κρατεῖτε τὰς παραδόσεις ἃς ἐδιδάχθητε εἴτε διὰ λόγου εἴτε δι ἐπιστολῆς ἡµῶν. στήκετε Verb, perf act imperat, 2 pl ἱστηµι intrans (in 2 aor, pf & pluperf; all midd & pass) stand, stop, stand firm κρατεω hold, hold fast, sieze, hold back παραδοσις, εως f tradition διδασκω teach εἰτε if, whether ἐπιστολη, ης f letter What Paul had delivered to them, whether in preaching or by letter, had been the word of God. Verse 16 Αὐτὸς δὲ ὁ κύριος ἡµῶν Ἰησοῦς Χριστὸς καὶ [ὁ] θεὸς ὁ πατὴρ ἡµῶν, ὁ ἀγαπήσας ἡµᾶς καὶ δοὺς παράκλησιν αἰωνίαν καὶ ἐλπίδα ἀγαθὴν ἐν χάριτι, Cf. 1 Thess 3: The highest possible position is given to the Lord Jesus Christ. ἀγαπήσας Verb, aor act ptc, m nom s ἀγαπαω It is not clear whether Paul is speaking of both persons or of the Father only. thinks probably the latter. δοὺς Verb, aor act ptc, m nom s διδωµι give παρακλησις, εως f encouragement, comfort ἐλπις, ιδος f hope, ground of hope χάριτι Noun, dat s χαρις, ιτος f grace, unmeritted favour Verse 17 παρακαλέσαι ὑµῶν τὰς καρδίας καὶ στηρίξαι ἐν παντὶ ἔργῳ καὶ λόγῳ ἀγαθῷ. παρακαλεω exhort, encourage, urge I.e. strengthen the whole inner life. στηριζω strengthen, establish "The prayer is for inner strengthening... with a view to faithful Christian service." Day 353: 2 Thessalonians 3:1-5 Verse 1 Τὸ λοιπὸν προσεύχεσθε, ἀδελφοί, περὶ ἡµῶν, ἵνα ὁ λόγος τοῦ κυρίου τρέχῃ καὶ δοξάζηται καθως καὶ πρὸς ὑµᾶς, λοιπος, η, ον rest, remaining, other: (το) λοιπον adv. finally προσευχοµαι pray The verb is in an emphatic position. Cf. 1 Thess 5:25. τρεχω run, exert oneself For the imagery, cf. Ps 147:15. δοξαζω praise, honour, glorify, exalt Paul is writing from Corinth where there was opposition and difficulty. Verse 2 καὶ ἵνα ῥυσθῶµεν ἀπὸ τῶν ἀτόπων καὶ πονηρῶν ἀνθρωπων οὐ γὰρ πάντων ἡ πίστις. ῥυσθῶµεν Verb, aor pass subj, 1 pl ῥυοµαι save, rescue ἀτοπος, ον improper, evil, harmful πονηρος, α, ον evil, bad, wicked "Both the use of the aorist tense in the verb 'delivered' and the article with 'wicked and evil men' point to a definite situation. Paul is not asking for prayer that he might be kept safe in his constant journeys and preachings. He writes in the light of his particular situation. He writes knowing that his friends are aware of his difficulty. He looks to them to join him in prayer that he may be delivered out of it. It seems most natural to understand his enemies as those Jews who opposed his preaching... We know that they dogged his steps at Corinth as they did in other places (Acts 18:5;, 12ff.). His request reminds us of similar words elsewhere (Rom 15:31)." οὐ γὰρ πάντων ἡ πίστις either 'not all people believe' or 'not all have embraced the faith.' The former leads perhaps more naturally to the contrast of the following verse. Verse 3 πιστὸς δέ ἐστιν ὁ κύριος, ὃς στηρίξει ὑµᾶς καὶ φυλάξει ἀπὸ τοῦ πονηροῦ. πιστος, η, ον faithful, reliable The inclusion of ἐστιν is emphatic. στηριζω see v.17 Cf. 1 Thess 3:2. φυλασσω keep, guard, defend πονηρος, α, ον evil, bad, wicked Week 71: Page 3
4 Could be either 'from the evil one' or 'from evil.' Verse 4 πεποίθαµεν δὲ ἐν κυρίῳ ἐφ ὑµᾶς, ὅτι ἃ παραγγέλλοµεν [καὶ] ποιεῖτε καὶ ποιήσετε. πεποίθαµεν Verb, perf act indic, 1 pl πειθω persuade, convince perf act & pass have confidence, be confident παραγγελλω command, instruct "Paul is putting his trust basically in the Lord. But he is expecting the Lord so to work in the lives of his friends that they will respond to the commands laid on them." Verse 5 Ο δὲ κύριος κατευθύναι ὑµῶν τὰς καρδίας εἰς τὴν ἀγάπην τοῦ θεοῦ καὶ εἰς τὴν ὑποµονὴν τοῦ Χριστοῦ. κατευθύναι Verb, aor act opt, 3 s κατευθυνω direct, guide "Paul is about to deal with certain people who are idle and insubordinate. He never shirks an issue, and his directions when he comes to them are blunt enough. But it is not part of his plan to give needless offense, and the reference to the love of God is timely. It reminds them that Paul speaks of one who himself owed everything to the love of God and who loved God himself, and also that they are in the same position. There should be no resentment among people whose thoughts are fixed on God's love. Similarly the reference to 'Christ's perseverance' is in point when people's idleness is about to be rebuked." ὑποµονη, ης f patience, endurance "There is some difficulty in knowing exactly what the following expressions signify. An expression like 'the love of God' might mean in Greek either God's love for us (which NIV chooses) or our love for God... [It is probable that] the primary idea will be that of God's love to us, but there will also be the secondary idea of our love for him. Paul's prayer, then, will be that the inner life of his friends be so concentrated on God's love for them that that this will evoke an aswering love for him. Conformably to this, 'the perseverance of Christ'... will denote first the attitude of Christ, and then the answering attitude on the part of the Thessalonians." Day 354: 2 Thessalonians 3:6-10 Verses 6-13 "In the First Epistle Paul had mentioned that some people would not work but were disorderly (4:11-12; 5:14), but it is evident that his brief exhortations had not produced the desired effect. He felt strongly on the matter, as we see from the fact that in this letter he devotes so much space to this problem." Verse 6 Παραγγέλλοµεν δὲ ὑµῖν, ἀδελφοί, ἐν ὀνόµατι τοῦ κυρίου [ἡµῶν] Ἰησοῦ Χριστοῦ, στέλλεσθαι ὑµᾶς ἀπὸ παντὸς ἀδελφοῦ ἀτάκτως περιπατοῦντος καὶ µὴ κατὰ τὴν παράδοσιν ἣν παρελάβοσαν παρ ἡµῶν. παραγγελλω see v.4 ὀνοµα, τος n name, person, authority στελλοµαι try to guard against, avoid; σ. ἀπο keep away from, shun "In view of verse 15 this does not mean 'abstain from all interaction,' but it stands for the witholding of intimate fellowship." ἀτακτως in idleness, in lazyness Compare 1 Thess 5:14 περιπατεω walk, walk about, live παραδοσις, εως see 2:15 παρελάβοσαν Verb, aor act indic, 3 s παραλαµβανω take, receive, accept The weight of textual evidence is fairly evenly divided between παρελαβοσαν and παρελαβετε. UBS prefers the former as the 'harder' reading and the one more likely to explain the origin of the other. prefers the latter saying that it is possible that the former "arose by what Westcott and Hort call 'an ocular confusion' with the ending παραδοσιν in the corresponding place in the line above." He adds, "Moulton thinks it 'more than doubtful' that παρελαβοσαν can be accepted, since the termination is so very rare at this period." Verse 7 αὐτοὶ γὰρ οἴδατε πῶς δεῖ µιµεῖσθαι ἡµᾶς, ὅτι οὐκ ἠτακτήσαµεν ἐν ὑµῖν πως how(?), in what way(?) δει impersonal verb it is necessary, must, should, ought µιµεοµαι imitate, follow another's example Cf. 1 Thess 1:5-6. ἀτακτεω be lazy, idle Week 71: Page 4
5 Verse 8 οὐδὲ δωρεὰν ἄρτον ἐφάγοµεν παρά τινος, ἀλλ ἐν κόπῳ καὶ µόχθῳ νυκτὸς καὶ ἡµέρας ἐργαζόµενοι πρὸς τὸ µὴ ἐπιβαρῆσαί τινα ὑµῶν οὐδε neither, nor δωρεαν without cost, freely, for nothing ἀρτος, ου m bread, a loaf, food ἐφάγοµεν Verb, aor act indic, 1 pl ἐσθιω and ἐσθω eat, consume "'To eat bread' is evidently a Semitism for 'get a living,' not simply 'get a meal,' or even 'meals' (cf. Gen 3:19; Amos 7:12, etc.). Paul does not mean that he had never accepted a hospitable invitation, but that he had not depended on other people for his means of livelihood." κοπος, ου m work, labour trouble µοχθος, ου m labour, hardship νυξ, νυκτος f night ἐπιβαρῆσαί Verb, aor act infin ἐπιβαρεω be a financial burden Cf. 1 Thess 2:9 Verse 9 οὐχ ὅτι οὐκ ἔχοµεν ἐξουσίαν, ἀλλ ἵνα ἑαυτοὺς τύπον δῶµεν ὑµῖν εἰς τὸ µιµεῖσθαι ἡµᾶς. ἐξουσια, ας f authority, right Compare 1 Corinthians 9:3-14 for a fuller statement concerning the rights of an apostle and Paul's attitude toward such rights. ἑαυτος, ἑαυτη, ἑαυτον him/her/itself τυπος, ου m pattern, example, type Cf. 1 Thess 1:7; 2:8. δῶµεν Verb, aor act subj, 1 pl διδωµι give µιµεοµαι see v.7 Verse 10 καὶ γὰρ ὅτε ἦµεν πρὸς ὑµᾶς, τοῦτο παρηγγέλλοµεν ὑµῖν, ὅτι εἴ τις οὐ θέλει ἐργάζεσθαι µηδὲ ἐσθιέτω. ὁτε conj when, at which time παραγγελλω see v.4 θελω wish, will The injunction applies to those who will not (do not want to) work, not to those who cannot. "Paul is giving the clearest expression to the thought that the Christian cannot be a drone. It is obligatory for him to be a worker." µηδε negative particle nor, neither ἐσθιέτω Verb, pres act imperat, 3 pl ἐσθιω and ἐσθω eat, consume Day 355: 2 Thessalonians 3:11-18 Verse 11 ἀκούοµεν γάρ τινας περιπατοῦντας ἐν ὑµῖν ἀτάκτως, µηδὲν ἐργαζοµένους ἀλλὰ περιεργαζοµένους ἀκουµεν It is not clear how Paul heard this news it may even have been by letter. The present tense could suggest 'we keep hearing' or may simply mean 'we have heard.' τινας Pronoun, m & f acc pl τὶς ἀτακτως see v.6 Cf. 1 Thess 5:14. µηδεις, µηδεµια, µηδεν no one, nothing περιεργαζοµαι be a busybody Perhaps busying themselves in encouraging others also to be idle. Verse 12 τοῖς δὲ τοιούτοις παραγγέλλοµεν καὶ παρακαλοῦµεν ἐν κυρίῳ Ἰησοῦ Χριστῷ ἵνα µετὰ ἡσυχίας ἐργαζόµενοι τὸν ἑαυτῶν ἄρτον ἐσθίωσιν. τοιουτος, αυτη, ουτον correlative pronoun and adjective such, of such kind παραγγελλω see v.4 παρακαλεω exhort, encourage, urge Adds a softer note to the command. ἡσυχια, ας f silence, quietness ἑαυτος, ἑαυτη, ἑαυτον see v.9 ἀρτος, ου see v.8 Verse 13 Ὑµεῖς δέ, ἀδελφοί, µὴ ἐγκακήσητε καλοποιοῦντες. Ὑµεῖς δέ i.e. the majority of the church. ἐγκακήσητε Verb, aor act subj, 2 pl ἐγκακεω become discouraged, tire of καλοποιεω do what is good Part of this doing good is for them to seek to win over the idle. Verse 14 εἰ δέ τις οὐχ ὑπακούει τῷ λόγῳ ἡµῶν διὰ τῆς ἐπιστολῆς, τοῦτον σηµειοῦσθε, µὴ συναναµίγνυσθαι αὐτῷ, ἵνα ἐντραπῇ ὑπακουω obey, be subject to ἐπιστολη, ης f letter σηµειοοµαι take note of συναναµιγνυµι associate with Week 71: Page 5
6 The injunction is to withdraw from close fellowship but (v.15) not to exclude the brother completely. The same verb is used in 1 Cor 5:9-13. ἐντραπῇ Verb, aor pass subj, 3 s ἐντρεπω make ashamed Verse 15 καὶ µὴ ὡς ἐχθρὸν ἡγεῖσθε, ἀλλὰ νουθετεῖτε ὡς ἀδελφόν. ἐχθρος, α, ον enemy, one hated ἡγεοµαι think, regard, consider "Throughout this whole section he aims at having the dissident reclaimed in a spirit of love. The actions enjoined in verse 14 are just as kindly intentioned as those in this verse." νουθετεω instruct, teach, warn Cf. 1 Thess 5:12,14. Paul's words may have been prompted by the uncertainty alluded to in 2:2. Verse 18 ἡ χάρις τοῦ κυρίου ἡµῶν Ἰησοῦ Χριστοῦ µετὰ πάντων ὑµῶν. Not the inclusion of 'all.' χαρις, ιτος f grace Verse 16 Αὐτὸς δὲ ὁ κύριος τῆς εἰρήνης δῴη ὑµῖν τὴν εἰρήνην διὰ παντὸς ἐν παντὶ τρόπῳ. ὁ κύριος µετὰ πάντων ὑµῶν. εἰρηνη, ης f peace δῴη Verb, aor act opt, 3 s διδωµι give διὰ παντὸς 'continually' τροπος, ου m way, manner "Has within it the idea of the manner in which conditions alter. No change in that which is outward can interfere with the Christian's deep-seated peace... The Christian's peace is never independent of the Lord. It is the gift of the Lord, and it is impossible apart from him; indeed, it is the very presence of the Lord. It is only as the Lord is in the heart of the believer day by day that he knows this peace." Verse 17 Ο ἀσπασµὸς τῇ ἐµῇ χειρὶ Παύλου, ὅ ἐστιν σηµεῖον ἐν πάσῃ ἐπιστολῇ οὕτως γράφω. ἀσπασµος, ου m greeting ἐµος, η, ον 1st pers possessive adj my, mine χειρ, χειρος f hand, power Paul's practice would seem to have been to dictate his letters to an amanuensis who wrote them down (see particularly Rom 16:22). Paul would add the closing words of greeting in his own hand. This practice seems to have been not uncommon at that time. σηµειον, ου n sign ἐπιστολη, ης see v.14 Week 71: Page 6
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 περισσότεραChapter 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 περισσότεραChapter 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 περισσότεραderivation 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 περισσότερα1 1 παυλος και σιλουανος και τιμοθεος
2 Tesalonika 1 1 παυλος και σιλουανος και τιμοθεος τη εκκλησια θεσσαλονικεων εν θεω πατρι ημων και κυριω ιησου χριστω 2 χαρις υμιν και ειρηνη απο θεου πατρος ημων και κυριου ιησου χριστου 3 ευχαριστειν
Διαβάστε περισσότεραNotes on the Greek New Testament Day 287 October 14 th 2 Thessalonians 2:1-17. Works frequently referenced in these notes on Thessalonians
Notes on the Greek New Testament Day 287 October 14 th 2 Thessalonians 2:1-17 Works frequently referenced in these notes on Thessalonians John Eadie Leon Morris A Commentary on the Greek Text of the Epistles
Διαβάστε περισσότεραBLOCK DIAGRAM OF SECOND THESSALONIANS
by Lorin L. Cranford BLOCK DIAGRAM OF SECOND THESSALONIANS 1.1 Παῦλος Σιλουανὸς Τιμόθεος τῇ ἐκκλησίᾳ Θεσσαλονικέων ἐν θεῷ πατρὶ ἡμῶν κυρίῳ Ἰησοῦ Χριστῷ, 1.2 χάρις ὑμῖν εἰρήνη ἀπὸ θεοῦ πατρὸς [ἡμῶν] κυρίου
Διαβάστε περισσότεραPhys460.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 περισσότεραΣυντακτικές 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 περισσότεραLESSON 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 περισσότεραSection 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 περισσότεραAdjectives. 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 περισσότεραC.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 περισσότερα2 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 περισσότεραCHAPTER 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 περισσότεραHOMEWORK 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 περισσότεραFinite 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 περισσότερα14 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 περισσότεραI 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 περισσότεραHomework 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 περισσότεραEE512: 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 περισσότεραConcrete 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 περισσότεραCode 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 περισσότεραΑΓΓΛΙΚΗ 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 περισσότεραEvery 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 περισσότερα1 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 περισσότεραΚατανοώντας 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 περισσότεραLESSON 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 περισσότεραΕπιβλέπουσα 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 περισσότεραBECAUSE 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 περισσότεραInstruction 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 περισσότεραANSWERSHEET (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 περισσότεραSection 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 περισσότερα3.4 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 περισσότεραΚΥΠΡΙΑΚΗ 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 περισσότεραMath 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 περισσότεραΕΠΙΧΕΙΡΗΣΙΑΚΗ 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 περισσότεραΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΒΑΛΕΝΤΙΝΑ ΠΑΠΑΔΟΠΟΥΛΟΥ Α.Μ.: 09/061. Υπεύθυνος Καθηγητής: Σάββας Μακρίδης
Α.Τ.Ε.Ι. ΙΟΝΙΩΝ ΝΗΣΩΝ ΠΑΡΑΡΤΗΜΑ ΑΡΓΟΣΤΟΛΙΟΥ ΤΜΗΜΑ ΔΗΜΟΣΙΩΝ ΣΧΕΣΕΩΝ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑΣ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ «Η διαμόρφωση επικοινωνιακής στρατηγικής (και των τακτικών ενεργειών) για την ενδυνάμωση της εταιρικής
Διαβάστε περισσότεραStrain gauge and rosettes
Strain gauge and rosettes Introduction A strain gauge is a device which is used to measure strain (deformation) on an object subjected to forces. Strain can be measured using various types of devices classified
Διαβάστε περισσότεραWriting 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 περισσότεραΤΕΧΝΟΛΟΓΙΚΟ 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 περισσότεραΚΥΠΡΙΑΚΟΣ 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 περισσότεραLESSON TEN: THE ADJECTIVE. Memorization of vocabulary ten
LESSON TEN: THE ADJECTIVE Memorization of vocabulary ten ἀγαθος good ἁγιος holy, set apart ἀλλα but (the regular contrasting particle, with δε used at times) ἀληθεια truth ἀληθινος true/genuine αὐτος he
Διαβάστε περισσότεραWEEK 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 περισσότεραCroy Lesson 18. First Declension. THIRD Declension. Second Declension. SINGULAR PLURAL NOM -α / -η [-ης]* -αι. GEN -ας / -ης [-ου]* -ων
Croy Lesson 18 First Declension SINGULAR PLURAL NOM -α / -η [-ης]* -αι GEN -ας / -ης [-ου]* -ων DAT -ᾳ / -ῃ -αις ACC -αν / -ην -ας VOC -α / -η -αι *Masculine Nouns of First Declension Second Declension
Διαβάστε περισσότεραExample 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 περισσότεραΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ
Ανοικτά Ακαδημαϊκά Μαθήματα στο ΤΕΙ Ιονίων Νήσων ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ενότητα 7: More about gerunds Το περιεχόμενο του μαθήματος διατίθεται με άδεια Creative Commons
Διαβάστε περισσότερα9.09. # 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 περισσότεραST5224: 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 περισσότεραMatrices 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 περισσότερα7 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 περισσότεραΟι 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 περισσότεραΕΠΙΧΕΙΡΗΣΙΑΚΗ 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 περισσότεραΡηματική άποψη. (Aspect of the verb) Α. Θέματα και άποψη του ρήματος (Verb stems and aspect)
15 Ρηματική άποψη (Aspect of the verb) Α. Θέματα και άποψη του ρήματος (Verb stems and aspect) imperfective perfective Verb forms in Modern Greek are based either on the imperfective or the perfective
Διαβάστε περισσότεραforms This gives Remark 1. How to remember the above formulas: Substituting these into the equation we obtain with
Week 03: C lassification of S econd- Order L inear Equations In last week s lectures we have illustrated how to obtain the general solutions of first order PDEs using the method of characteristics. We
Διαβάστε περισσότεραMath221: 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 περισσότεραCroy Lesson 10. Kind of action and time of action. and/or Redup. using the verb λύω
A Lesson 10 Vocabulary Summer Greek Croy Lesson 10 Ω ἄγω αἴρω ἀναβαίνω ἀπέρχοµαι ἀποθνῄσκω ἀποκτείνω καταβαίνω µέλλω ὀφείλω συνάγω ἀπόστολος, ὁ ἱερόν, τό παρά (G,D,A) (+ gen.) from; (+ dat.) beside, with,
Διαβάστε περισσότεραAssalamu `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 περισσότεραΑΓΓΛΙΚΑ 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 περισσότεραVerklarte 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 περισσότεραRight 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 περισσότεραΚΥΠΡΙΑΚΗ 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 περισσότεραΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ
Ανοικτά Ακαδημαϊκά Μαθήματα στο ΤΕΙ Ιονίων Νήσων ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ενότητα 2: A Business Letter Το περιεχόμενο του μαθήματος διατίθεται με άδεια Creative Commons
Διαβάστε περισσότεραLESSON 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 περισσότεραSection 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 περισσότεραThe 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 περισσότεραΣυστήματα 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 περισσότεραFourier 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 περισσότεραThe Apostle Paul, Servant of Christ WELCOME Lorin Cranford
WELCOME Lorin Cranford Page 1 Notes Here: Page 2 Notes here: Session Ninety-two Taken from chapter nine of the book Emphasis on the writing ministry of Paul Learning Goals: 1 Learning what Paul wrote in
Διαβάστε περισσότεραΦΥΛΛΟ ΕΡΓΑΣΙΑΣ Α. Διαβάστε τις ειδήσεις και εν συνεχεία σημειώστε. Οπτική γωνία είδησης 1:.
ΦΥΛΛΟ ΕΡΓΑΣΙΑΣ Α 2 ειδήσεις από ελληνικές εφημερίδες: 1. Τα Νέα, 13-4-2010, Σε ανθρώπινο λάθος αποδίδουν τη συντριβή του αεροσκάφους, http://www.tanea.gr/default.asp?pid=2&artid=4569526&ct=2 2. Τα Νέα,
Διαβάστε περισσότεραPresent Participles. Verbal Adjectives with Present Aspect. A lesson for the Paideia web-app Ian W. Scott, 2015
Present Participles Verbal Adjectives with Present Aspect A lesson for the Paideia web-app Ian W. Scott, 2015 Participles with Present Aspect Participle = a verbal adjective Allows a whole clause to tell
Διαβάστε περισσότεραLecture 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 περισσότεραApproximation 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 περισσότεραConditional 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 περισσότεραHomework 8 Model Solution Section
MATH 004 Homework Solution Homework 8 Model Solution Section 14.5 14.6. 14.5. Use the Chain Rule to find dz where z cosx + 4y), x 5t 4, y 1 t. dz dx + dy y sinx + 4y)0t + 4) sinx + 4y) 1t ) 0t + 4t ) sinx
Διαβάστε περισσότεραεἶμι, 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 περισσότεραEcon 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 περισσότεραΣΟΡΟΠΤΙΜΙΣΤΡΙΕΣ ΕΛΛΗΝΙΔΕΣ
ΕΛΛΗΝΙΔΕΣ ΣΟΡΟΠΤΙΜΙΣΤΡΙΕΣ ΕΚΔΟΣΗ ΤΗΣ ΣΟΡΟΠΤΙΜΙΣΤΙΚΗΣ ΕΝΩΣΗΣ ΕΛΛΑΔΟΣ - ΤΕΥΧΟΣ Νο 110 - Δ ΤΡΙΜΗΝΟ 2014 Το πρώτο βραβείο κέρδισε η Ελλάδα για την φωτογραφία Blue + Yellow = Green στον διαγωνισμό 2014 του
Διαβάστε περισσότερα1999 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 περισσότερα6.1. Dirac Equation. Hamiltonian. Dirac Eq.
6.1. Dirac Equation Ref: M.Kaku, Quantum Field Theory, Oxford Univ Press (1993) η μν = η μν = diag(1, -1, -1, -1) p 0 = p 0 p = p i = -p i p μ p μ = p 0 p 0 + p i p i = E c 2 - p 2 = (m c) 2 H = c p 2
Διαβάστε περισσότεραPARTIAL 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 περισσότεραDémographie spatiale/spatial Demography
ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΙΑΣ Démographie spatiale/spatial Demography Session 1: Introduction to spatial demography Basic concepts Michail Agorastakis Department of Planning & Regional Development Άδειες Χρήσης
Διαβάστε περισσότεραGalatia 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 περισσότεραPotential 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 περισσότεραSection 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 περισσότεραΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΡΗΤΗΣ. Ψηφιακή Οικονομία. Διάλεξη 10η: Basics of Game Theory part 2 Mαρίνα Μπιτσάκη Τμήμα Επιστήμης Υπολογιστών
ΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΡΗΤΗΣ Ψηφιακή Οικονομία Διάλεξη 0η: Basics of Game Theory part 2 Mαρίνα Μπιτσάκη Τμήμα Επιστήμης Υπολογιστών Best Response Curves Used to solve for equilibria in games
Διαβάστε περισσότερα5.4 The Poisson Distribution.
The worst thing you can do about a situation is nothing. Sr. O Shea Jackson 5.4 The Poisson Distribution. Description of the Poisson Distribution Discrete probability distribution. The random variable
Διαβάστε περισσότεραΜηχανική 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 περισσότεραΔΙΠΛΩΜΑΤΙΚΗ 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 περισσότεραProblem Set 3: Solutions
CMPSCI 69GG Applied Information Theory Fall 006 Problem Set 3: Solutions. [Cover and Thomas 7.] a Define the following notation, C I p xx; Y max X; Y C I p xx; Ỹ max I X; Ỹ We would like to show that C
Διαβάστε περισσότεραdepartment 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 περισσότεραI am. Present indicative
εἰμί eimi Present indicative εἰμί εἶ ἐστί(ν) ἐσμέν ἐστέ εἰσί(ν) John 3:28 εἰμὶ ἐγὼ ὁ χριστός eimi ego ho christos John 3:28 εἰμὶ ἐγὼ ὁ χριστός eimi ego ho christos the Christ John 1:19 Σὺτίςεἶ; Su tis
Διαβάστε περισσότεραOther 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 περισσότεραSummer 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 περισσότεραNOM -**- [**] -ες / -εις [-α ] GEN -ος / -ως / -ους -ων. DAT -ι -σι. ACC -α / -ιν [**] -ας / -εις [-α ]
Croy Lesson 18 First Declension SINGULAR PLURAL NOM -α / -η [-ης]* -αι GEN -ας / -ης [-ου]* -ων DAT -ᾳ / -ῃ -αις ACC -αν / -ην -ας VOC -α / -η -αι *Masculine Nouns of First Declension Second Declension
Διαβάστε περισσότεραSubject - Students love Greek.
A Summer Greek 2009 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) VERB
Διαβάστε περισσότεραMain source: "Discrete-time systems and computer control" by Α. ΣΚΟΔΡΑΣ ΨΗΦΙΑΚΟΣ ΕΛΕΓΧΟΣ ΔΙΑΛΕΞΗ 4 ΔΙΑΦΑΝΕΙΑ 1
Main source: "Discrete-time systems and computer control" by Α. ΣΚΟΔΡΑΣ ΨΗΦΙΑΚΟΣ ΕΛΕΓΧΟΣ ΔΙΑΛΕΞΗ 4 ΔΙΑΦΑΝΕΙΑ 1 A Brief History of Sampling Research 1915 - Edmund Taylor Whittaker (1873-1956) devised a
Διαβάστε περισσότεραSummer Greek Lesson 3 - Vocabulary
A Summer Greek 2006 Ω ἀδελφή, ἡ ἀλήθεια, ἡ βασιλεία, ἡ δόξα, ἡ ἐκκλησία, ἡ ἔχω ζωή, ἡ ἡμέρα, ἡ θάλασσα, ἡ καρδία, ἡ φωνή, ἡ ὥρα, ἡ Parts of Speech NOUN - person, place, thing, quality, idea, or action
Διαβάστε περισσότεραthe 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