13 Ἐν τῇ ἡμέρᾳ ἐκείνῃ ἐξελθὼν ὁ Ἰησοῦς τῆς οἰκίας ἐκάθητο παρὰ τὴν θάλασσαν

Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download "13 Ἐν τῇ ἡμέρᾳ ἐκείνῃ ἐξελθὼν ὁ Ἰησοῦς τῆς οἰκίας ἐκάθητο παρὰ τὴν θάλασσαν"

Transcript

1 13 Ἐν τῇ ἡμέρᾳ ἐκείνῃ ἐξελθὼν ὁ Ἰησοῦς τῆς οἰκίας ἐκάθητο παρὰ τὴν θάλασσαν In the day that having gone out the Jesus of the house was sitting by the sea; 2 καὶ συνήχθησαν πρὸς αὐτὸν ὄχλοι πολλοί, ὥστε αὐτὸν εἰς πλοῖον ἐμβάντα and were gathered together with him crowds many, so that him into a boat having stepped καθῆσθαι, καὶ πᾶς ὁ ὄχλος ἐπὶ τὸν αἰγιαλὸν εἱστήκει. to have sat down, and all the crowd upon the shore had stood. 3 καὶ ἐλαλησεν αὐτοῖς πολλὰ ἐν παραβολαῖς λέγων, Ἰδοὺ ἐξῆλθεν ὁ σπείρων And he spoke to them many things in parables saying, Behold went out the sower τοῦ σπείρειν. the to sow. 4 καὶ ἐν τῷ σπείρειν αὐτὸν ἃ μὲν ἔπεσεν παρὰ τὴν ὁδόν, καὶ ἐλθόντα τὰ πετεινὰ and in the to sow him which indeed fell beside the road, and came the birds κατέφαγεν αὐτά. ate up them. 5 ἀλλὰ δὲ ἔπεσεν ἐπὶ τὰ πετρώδη ὅπου οὐκ εἶχεν γῆν πολλήν, καὶ εὐθέως others and fell upon the rocky areas where not it was having earth much, and immediately ἐξανέτειλενδιὰ τὸ μὴ ἔχειν βάθος γῆς it sprang up the not to have depth of earth; 6 ἡλίου δὲ ἀνατείλαντος ἐκαυματίσθη καὶ διὰ τὸ μὴ ἔχειν ῥίζαν ἐξηράνθη. Sun but having risen it was scorched and through the not to have a root it was dried up. 7 ἄλλα δὲ ἔπεσεν ἐπὶ τὰς ἀκάνθας, καὶ ἀνέβησαν αἱ ἄκανθαι καὶ ἀπέπνιξαν αὐτά. others and fell upon the thorns, and came up the thorns and choked them. 8 ἄλλα δὲ ἔπεσεν ἐπὶ τὴν γῆν τὴν καλὴν καὶ ἐδίδου καρπόν, ὃ μὲν ἑκατόν, others but fell upon the earth the good and was giving fruit, which indeed a hundredfold, ὃ δὲ ὲξήκοντα, ὃ δὲ τριάκοντα. which and sixty fold, which but thirty fold. 9 ὁ ἔχων ὦτα ἀκούετω. He having ears let him hear. The Purpose of Parables Mk. 4:10-12; Lk Καὶ προσελθόντες οἱ μαθηταἱ εἶπαν αὐτῷ, Διὰ τί ἐν παραβολαῖς λαλεῖς αὐτοῖς; And having come near the disciple said to him, Why in parables you speak to them? 11 ὁ δὲ ἀποκριθεὶς εἶπεν, Ὅτι ὑμῖν δέδοται γνῶναι τὰ μυστήρια τῆς βασιλείας He and answering said, Because to you it has been given to know the mysteries of the kingdom τῶν οὐρανῶν, ἐκείνοις δὲ οὐ δέδοται. of the heavens, to those but not it has been given. 12 ὅστις γὰρ ἔχει, δοθήσεται αὐτῷ καὶ περισσευθήσεται Whoever for has, it shall be given to same and he shall have more than enough; ὅστις δὲ οὐκ ἔχει, καὶ ὅ ἔχει ἀρθήσεται ἀπ αὐτοῦ. whoever but not he has, and what he has shall be taken up from of him. 13 διὰ τοῦτο ἐν παραβολαῖς αὐτοῖς λαλῶ, ὅτι βλέποντες οὐ βλέπουσιν καὶ On account of this in parables to them I speak, for seeing not they see and 1

2 ἀκούοντες οὐκ ἀκούουσιν οὐδὲ συνίουσιν, hearing not they hear nor understand, 14 καὶ ἀναπληροῦται αὐτοῖς ἡ προφητεία Ἠσαΐου ἡ λέγουσα, and is fulfilled in the the prophecy of Isaiah the saying Ἀκοῇ ἀκούσετε καὶ οὐ μὴ συνῆτε, Hearing you shall hear and by no means may you understand, καὶ βλέποντες βλέψετε καὶ οὐ μὴ ἴδητε. and seeing you shall see and certainly not should you perceive. 15 ἐπαχύνθη γὰρ ἡ καρδία τοῦ λαοῦ τούτου, was fattened for the heart of the people of this, καὶ τοῖς ὠσὶν βαρέως ἤκουσαν, and with the ears heavily they heard, καὶ τοὺς ὀφθαλμοὺς αὐτῶν ἐκάμμυσαν, and the eyes of them they closed, μήποτε ἴδωσιν τοῖς ὀφθαλμοῖς lest they might see with the eyes καὶ τοῖς ὠσὶν ἀκούσωσιν and with the ears they might hear καὶ τῇ καρδίᾳ συνῶσιν καὶ ἐπιστρέψωσιν and with the heart they should understand and should turn about καὶ ἰάσομαι αὐτούς. and I shall heal them ὑμῶν δὲ μακάριοι οἱ ὀφθαλμοὶ ὅτι βλέπουσιν, καὶ τὰ ὦτα [ὑμῶν] ὅτι ἀκούουσιν. Of you but fortunate the eyes because tey see, and the ears [of you] because they hear. 17 ἀμὴν γὰρ λέγω ὑμῖν ὅτι πολλοὶ προφῆται καὶ δίκαιοι ἐπεθύμησαν ἰδεῖν ἃ βλέπετε Truly for I tell you that many prophets and righteous ones desired to see what you see καὶ οὐκ εἶδαν, καὶ ἀκοῦσαι ἃ ἀκούετε καὶ οὐκ ἤκουσαν. and not saw, and to hear which you hear and not heard. Explanation of the Parable of the Sower Mk. 4:13-20; Lk. 8: Ὑμεῖς οὐν ἀκούσατε τὴν παραβολὴν τοῦ σπείραντος. You then let you hear the parable of the having sown. 19 παντὸς ἀκούοντος τὸν λόγον τῆς βασιλείας καὶ μὴ συνιέντος ἔρχεται ὁ πονηρὸς καὶ Everyone hearing the word of the kingdom and not understanding comes the evil one and ἁρπάζει τὸ ἐσπαρμένον ἐν τῇ καρδίᾳ αὐτοῦ, οὗτος ἐστιν ὁ παρὰ τὴν ὁδὸν seizes the having been sown in the heart of him, this one is the by the road σπαρείς. having been sown. 20 ὁ δὲ ἐπὶ τὰ πετρώδη σπαρείς, οὗτος ἐστιν ὁ τὸν λόγον ἀκούων καὶ εὐθὺς The and upon the rocky areas having been sown, this one is the the word hearing and immediately μετὰ χαρᾶς λαμβάνων αὐτόν, with joy receiving it, 21 οὐκ ἔχει δὲ ῥίζαν ἐν ἑαυτῷ ἀλλὰ πρόσκαιρος ἐστιν, γενομένης δὲ θλίψεως ἢ not he has but a root in himself but temporary he is, having happened but affliction or 1 Isaiah 6:9,10. 2

3 διωγμοῦ διὰ τὸν λόγον εὐθὺς σκανδαλίζεται. persecution on account of the word immediately he is caused to fall away. 22 ὁ δὲ εἰς τὰς ἀκάνθας σπαρείς, οὗτος ἐστιν ὁ τὸν λόγον ἀκούων, καὶ ἡ μέριμνα τοῦ He but into the thorns having been sown, this one is he the word hearing, and the anxiety of the αἰῶνος καὶ ἡ ἀπάτη τοῦ πλούτου συμπνίγει τὸν λόγον, καὶ ἄκαρπος γίνεται. age and the deceit of the riches chokes out the word, and unfruitful it becomes. 23 ὁ δὲ ἐπὶ τὴν καλὴν γῆν σπαρείς, οὗτος ἐστιν ὁ τὸν λόγον ἀκούων καὶ He but upon the good earth having been sown, this one is he the word is hearing and συνιείς, ὃς δὴ καρποφορεῖ καὶ ποιεῖ ὃ μὲν ἑκατόν, is understanding, who indeed bears fruit and makes which on one hand a hundredfold, ὃ δὲ ἑξήκοντα, ὃ δὲ τριάκοντα. which on another hand eighty fold, which but thirty fold. Three Parables of Growth 1. Cheats (Darnel, see end note.) 24 Ἄλλην παραβολὴν παρέθηκεν αὐτοῖς λέγων, Ὡμοιώθη ἡ βασιλεία τῶν οὐρανῶν Another parable he set before them saying, Was likened the kingdom of the heavens ἀνθρώπῳ σπείραντι καλὸν σπέρμα ἐν τῷ ἀγρῷ αὐτοῦ. a man sowing good seed in the field of him. 25 ἐν δὲ τῷ καθεύδειν τοὺς ἀνθρώπους ἦλθεν αὐτοῦ ὁ ἐχθρὸς καὶ ἐπέσπειρεν ζιζάνια 2 ἀνὰ In but the to sleep of the men came of him the enemy and were sowing cheats into μέσον τοῦ σίτου καὶ ἀπῆλθεν. midst of the wheat and went away. 26 ὅτε δὲ ἐβλάστησεν ὁ χόρτος καὶ καρπὸν ἐποίησεν, τότε ἐφάνη καὶ τὰ ζιζάνια. When but sprouted the herbage and fruit produced, then appeared also the cheats. 27 προσελθόντες δὲ οὶ δοῦλοι τοῦ οἰκοδεσπότου εἶπον αὐτῷ, Κύριε, οὐχὶ καλὸν σπέρμα Having come near and the slaves of the householder said to him, Master, not good seed ἔσπειρας ἐν τῷ σῷ ἀγρῷ; πόθεν οὐν ἔχει ζιζάνια; you sowed in the your field? Whence then has it cheats? 28 ὁ δὲ ἔφη αὐτοῖς, Ἐχθρὸς, ἄνθρωπος, τοῦτο ἐποίησεν. οἱ δὲ αὐτῷ λέγουσιν, Θέλεις οὖν He and said to them, An enemy, a man, this did. The and to him they say, Wish you then ἀπελθόντες συλλέξωμεν αὐτά; having gone away we should gather up them? 29 ὁ δὲ φησιν, Οὔ, μήποτε συλλέγοντες τὰ ζιζάνια ἐκριζώσητε ἅμα αὐτοῖς He but says, No, in case gathering up the cheats you should uproot together with them τὸν σῖτον. the wheat. 30 ἄφετε συναυξάνεσθαι ἀμφότερα ἕως τοῦ θερισμοῦ, καὶ ἐν καιρῷ τοῦ θερισμοῦ Let you allow them to increase both until the harvest, and in season of the harvest ἐρῶ τοῖς θερισταῖς, Συλλέξατε πρῶτον τὰ ζιζάνια καὶ δήσατε αὐτὰ [εἰς] δέσμας I will say to the reapers, Let you gather up first the cheats and let you bind them [into]a bundle 3 2 ζιζάνια, n.n. darnel, cheat, weed, A Matthaean word here and 13:26, 27, 29, 30, 36, 38, 40. A plant which resembles wheat until harvest time when the ears turn black. Always used in the plural. It is poisonous to humans. The word is believed to be of Arabic origin. See end note. 3 δέσμας, n.f. bundle, - only here in the NT. 3

4 πρὸς τὸ κατακαῦσαι αὐτά, τὸν δὲ σῖτον συνάγετε εἰς τὴν ἀποθήκην μου. unto the to burn them, the but wheat let you gather up into the granary of me. 2. Mustard Seed Mk. 4:30-32; Lk. 13: Ἄλλην παραβολὴν παρέθηκεν αὐτοῖς λέγων, Ὁμοία ἐστιν ἡ βασιλεία τῶν οὐρανῶν κόκκῳ Another parable he set before them saying, Like is the kingdom of the heavens to a grain σινάπεως 4, ὃν λαβὼν ἄνθρωπος ἔσπειρεν ἐν τῷ ἀγρῷ αὐτοῦ of mustard, which having taken a man sowed in the field of him; 32 ὃ μικρότερον μέν ἐστιν πάντων τῶν σπερμάτων, ὅταν δὲ αὐξηθῇ μεῖζον which lesser indeed is of all of the seeds, whenever but it should be grown greater τῶν λαχάνων ἐστιν καὶ γίνεται δένδρον, ὥστε ἐλθεῖν τὰ πετεινὰ τοῦ οὐρανοῦ καὶ of herbage it is and it becomes a tree, so as to come the birds of the heaven and κατασκηνοῦν ἐν τοῖς κλάδοις αὐτοῦ. lodge in the branches of it. 3. Yeast. 33 Ἄλλην παραβολὴν [ἐλάλησεν αὐτοῖς], Ὁμοία ἐστὶν ἡ βασιλεία τῶν οὐρανῶν ζύμῃ, ἣν Another parable [ he told to them], Like it is the kingdom of the heavens to yeast, which λαβοῦσα γυνὴ ἐνέκρυψεν εἰς ἀλεύρου σάτα τρία ἕως οὖ ἐζυμώθη ὅλον. having taken a woman hid in wheat meal measures three until which was leavened whole. The Purpose of Parables Mk. 4: Ταῦτα πάντα ἐλάλησεν ὁ Ἰησοῦς ἐν παραβολαῖς τοῖς ὄχλοις, καὶ χωρις παραβολῆς These things all spoke the Jesus in parables to the crowds, and without of a parable οὐδὲν ἐλάλει αὐτοῖς, nothing he spoke to them, 35 ὅπως πληρωθῇ τὸ ῥηθὲν διὰ τοῦ προφήτου λέγοντος, so as should be fulfilled the having been spoken through the prophet saying, Ἀνοίξω ἐν παραβολαῖς τὸ στόμα μου, I shall open in parables the mouth of me ἐρεύξομαι κεκρυμμένα ἀπὸ καταβολῆς. I will belch out 5 having been hidden from of foundation. 6 An Explanation of the Parable of the Cheats 36 Τότε ἀφεὶς τοὺς ὄχλους ἦλθεν εἰς τὴν οἰκίαν. καὶ προσῆλθον αὐτῷ οἱ μαθηταὶ Then having sent away the crouds he came into the house. and approached him the disciples αὐτοῦ λέγοντες, Διασάφησον ἡμῖν τὴν παραβολὴν τῶν ζιζανίων τοῦ ἀγροῦ. of him saying, Let you explain to us the parable of the cheats of the field. 37 ὁ δὲ ἀποκριθεὶς εἶπεν, Ὁ σπείρων τὸ καλὸν σπέρμα ἐστὶν ὁ υἱὸς τοῦ ἀνθρώπου, He and answering said, The sowing the good seed is the Son of the Man, 4 σινάπεως, n.n., mustard. Here and 17:20; Mk. 4:31; Lk. 13:19, 17:6. Probably black mustard Brassica (sinapis) nigra see end note. 5 ἐρεύξομαι, v., belch out, spew out, spit out, declare, future, middle, indicative, - only here in the NT. 6 Psalm 78:2. 4

5 38 ὀ δὲ ἀγρός ἐστιν ὁ κόσμος, τὸ δὲ καλὸν σπέρμα οὗτοι εἰσιν οἱ υἱοὶ τῆς βασιλείας τὰ δὲ The and field is the world, the and good seed these are the sons of the kingdom, the but ζιζάνια εἰσιν οἱ υἱοὶ τοῦ πονηροῦ, cheats are the sons of the evil one, 39 ὁ δὲ ἐχθρὸς ὁ σπείρας αὐτά ἐστιν ὁ διάβολος, ὁ δὲ θερισμὸς συντέλεια αἰῶνος ἐστιν. οἱ δὲ the and enemy the sowing them is the Devil, the and harvest completion of age it is, the and θερισταὶ ἄγγελοι εἰσιν. reapers angels are. 40 ὥσπερ οὖν συλλέγεται τὰ ζιζάνια καὶ πυρὶ κατακαίεται, οὕτως ἐσται ἐν τῇ συντελείᾳ just as therefore is gathered up the cheats and in fire burned up, thus it will be in the completion τοῦ αἰῶνος of the age; 41 ἀποστελεῖ ὁ υἱὸς τοῦ ἀνθρώπου τοὺς ἀγγέλους αὐτοῦ, καὶ συλλέξουσιν ἐκ shall send forth the Son of the Man the angels of him, and shall gather together from τῆς βασιλείας αὐτοῦ πάντα τὰ σκάνδαλα καὶ τοὺς ποιοῦντας τὴν ἀνομίαν of the kingdom of him all the entrapping and the perpetrating the lawlessness 42 καὶ βαλοῦσιν αὐτοὺς εἰς τὴν κάμινον τοῦ πυρός ἐκεῖ ἔσται ὁ κλαυθμὸς καὶ ὁ and they shall throw them into the furnace of the fire; where there shall be the weeping and the βρυγμὸς τῶν ὀδόντων. gnashing of the teeth. 43 τότε οἱ δίκαιοι ἐκλάμψουσιν ὡς ὁ ἥλιος ἐν τῇ βασιλείᾳ τοῦ πατρὸς αὐτῶν. Then the righteous shall shine forth as the sun in the kingdom of the Father of them. 7 ὁ ἔ χων ὦτα ἀκουέτω. The having ears let him hear. Three Further Parables 1. Treasure. 44 Ὁμοία ἐστὶν ἡ βασιλεία τῶν οὐρανῶν θησαυρῷ κεκρυμμένῳ ἐν τῷ ἀγρῷ, Like is the kingdom of the heavens to a treasure having been hidden in the field, ὃν εὑρὼν ἄνθρωπος ἔκρυψεν, καὶ ἀπὸ τῆς χαρᾶς αὐτοῦ ὑπάγει καὶ πωλεῖ which having found a man hid, and from of the joy of it he goes and sells ὅσα ἔχει καὶ ἀγοράζει τὸν ἀγρὸν ἐκεῖνον. as much as he has and he buys the field that. 2. The Pearl. 45 Πάλιν ὁμοία ἐστὶν ἡ βασιλεία τῶν οὐρανῶν ἐμπόρῳ ζητοῦντι καλοὺς μαργαρίτας Again like is the kingdom of the heavens a merchant seeking fine pearls; 46 εὑρὼν δὲ ἕνα πολύτιμον μαργαρίτην ἀπελθὼν πέπρακεν πάντα ὅσα having found and one very valuable pearl having gone forth he has sold all as much as εἶχεν καὶ ἠγόρασεν αὐτόν. he was holding and bought it. 3. The Net. 47 Πάλιν ὁμοία ἐστὶν ἡ βασιλεία τῶν οὐρανῶν σαγήνῃ βληθείσῃ εἰς τὴν θάλασσαν Again like is the kingdom of the heavens to a net having been cast into the sea καὶ ἐκ παντὸς γένους συναγαγούσῃ and from every stock having gathered together; 7 Daniel 12:3. 5

6 48 ἣν ὅτε ἐπληρώθη ἀναβιβάσαντες ἐπὶ τὸν αἰγιαλὸν καὶ καθίσαντες which when it was filled it they having drawn up 8 upon the beach and having sat down συνέλεξαν τὰ καλὰ εἰς ἄγγη, τὰ δὲ σαπρὰ ἔξω ἔβαλον. gathered together the good into pails, the but rotten out they threw. 49 οὕτως ἔσται ἐν τῇ συντελείᾳ τοῦ αἰῶνος ἐξελεύσονται οἱ ἄγγελοι καὶ ἀφοριοῦσιν τοὺς Thus it shall be in the completion of the age; shall come forth the angels and shall separate the πονηροὺς ἐκ μέσου τῶν δικαίων evil from midst of the righteous 50 καὶ βαλοῦσιν αὐτοὺς εἰς τὴν κάμινον τοῦ πυρός ἐκεῖ ἔσται ὁ κλαυθμὸς καὶ and they shall throw out them into the furnace of the fire; where there shall be the weeping and ὁ βρυγμὸς τῶν ὀδόντων. the gnashing of the teeth. Treasures New and Old 51 Συνήκατε ταῦτα πάντα; λεγουσιν αὐτῳ, Ναί. Understood you these things all? They say to him, Yes. 52 ὁ δὲ εἶπεν αὐτοῖς, Διὰ τοῦτο πᾶς γραμματεὺς μαθητευθεὶς τῇ βασιλείᾳ τῶν He and said to them, Therefore every scribe having been instructed to the kingdom of the οὐρανῶν ὅμοιος ἐστιν ἀνθρώπῳ οἰκοδεσπότῃ, ὅστις ἐκβάλλει ἐκ τοῦ θησαυροῦ heavens like is a man a householder, who brings forth from of the treasures αὐτοῦ καινὰ καὶ παλαιά. of him new and old. Jesus Rejected at Nazareth Mk. 6:1-6; Lk. 4: Καὶ ἐγένετο ὅτε ἐτέλεσεν ὁ Ἰησοῦς τὰς παραβολὰς ταύτας, μετῆρεν ἐκεῖθεν. And it came to pass when completed the Jesus the parables these, he removed from there. 54 καὶ ἐλθὼν εἰς τὴν πατρίδα αὐτοῦ ἐδίδασκεν αὐτοὺς ἐν τῇ συναγωγῇ αὐτῶν, And having come into the home town of him he was teaching them in the synagogue of them, ὥστε ἐκπλήσσεσθαι αὐτοὺς καὶ λέγειν, Πόθεν τούτῳ ἡ σοφία αὕτη καὶ αἱ so as to astound them and to say, From where to this one the wisdom this and the δυνάμεις; mighty works? 55 οὐχ οὗτος ἐστιν ὁ τοῦ τέκτονος υἱός; οὐχ ἡ μήτηρ αὐτοῦ λέγεται Μαριὰμ καὶ Not this one is the of the carpenter a son? Not the mother of him called Mary and οἱ ἀδελφοὶ αὐτοῦ Ἰάκωβος καὶ Ἰωσὴφ καὶ Σίμων καὶ Ἰούδας; the brothers of him James and Joses and Simon and Judas? 56 καὶ αἱ ἀδελφαὶ αὐτοῦ οὐχὶ πᾶσαι πρὸς ἡμᾶς εἰσιν; πόθεν οὖν τούτῳ ταῦτα πάντα; And the sisters of him not all with us are? From where then to this one these things all? 57 καὶ ἐσκανδαλίζοντο ἐν αὐτῷ. ὁ δὲ Ἰησοῦς εἶπεν αὐτοῖς, Οὐκ ἔστιν προφήτης ἄτιμος And they were offended by him. The but Jesus said to them, Not is a prophet without honour εἰ μὴ ἐν τῇ πατρίδι καὶ ἐν τῇ οἰκίᾳ αὐτοῦ. except in the home town and in the house of him. 8 ἀναβιβάσαντες, v., draw or drag nets ashore, aorist, active, participle, - only here in the NT. 6

7 58 καὶ οὐκ ἐποίησεν ἐκεῖ δυνάμεις πολλὰς διὰ τὴν ἀπιστίαν αὐτῶν. And not he did there mighty work many because of the unbelief of them. CHEATS Tares, Weeds, Darnel, Cheats are words used to translate 'zizanion' which appears in Matthew 13:25 and verses following (always in the plural). The word is not used by any Greek author and may derive from the Arabic 'ziwan' darnel or Lolium temulentum, which is a rye grass which grows with and appears identical to wheat until ready for harvesting then the ears turn black. When ears of cheats are contained in any quantity of wheat, wholesale poisoning occurs in those who consume it. Symptoms include loss of consciousness and vertigo, however, the seeds could be used for chicken feed and the whole plant burnt as fuel. It is the similarity to wheat while growing and the poisonous nature of the seeds at harvest time and not any connotation of a troublesome weed that is the sense conveyed by the parable. Virgil (c70-21 BC) calls the plant Infelix lolium in his Georgics [i. 154] and so the damaging properties had long been known, but it is uncertain whether or not the poison derives from an alkaloid in the plant itself or from a parasitic fungus specific to it. Nor is there any understanding of the soil pest Ervum. It appears that enemies ruining each others crops by secretly setting cheats was a feature of society when Jesus was relating this parable since sowing cheats in revenge or for material gain (if unadulterated wheat was in short supply the the pure variety would be worth more) was punishable under Roman Law. A light infiltration of cheats could be dealt with but since its roots were much more vigorous than ordinary wheat then a considerable amount of good grain would be lost when the invader was pulled up. The burning of the unwanted plants would also be understood by Jesus' hearers since, in the absence of wood, it was used as fuel. ( The word 'cheat' I found in Arndt & Gingrich's Greek-English Lexicon. Since this is an English version of Bauer's Greek-German Lexicon it may have originated as a German word. In any case it seems appropriate to label things which are not as they appear to be, 'cheats') Mustard Mustard This may not be the mustard of our country but a supposed Salvadora persica- the seed of which had the same properties and was used for the same purposes as mustard and had the Arabic name of khardal. It was said to have grown up to two metres high in Palestine and in profusion around Galilee. Modern botanists identify it as black mustard, Brassica nigra (Koch), Sinapis nigra (Linnaeus) which is known to grow now in Israel to a height of 3.7m (12ft). Although not a tree in the botanical sense, nevertheless it is a herb of considerable size. It appears that Jesus was paraphrasing passages from the OT likening the growth of a tree to the development of a great empire and the protection and accommodation a tree and an empire give. Ezekiel 17:23; 31:3 9; Daniel 4:10 12,

The Parable of the Sower. Mark 4:1-9. 4:1 Καὶ πάλιν ἤρξατο διδάσκειν. καὶ συνάγεται. πλεῖστος, 4:2 καὶ ἐδίδασκεν. ἐν παραβολαῖς πολλὰ. σπεῖραι.

The Parable of the Sower. Mark 4:1-9. 4:1 Καὶ πάλιν ἤρξατο διδάσκειν. καὶ συνάγεται. πλεῖστος, 4:2 καὶ ἐδίδασκεν. ἐν παραβολαῖς πολλὰ. σπεῖραι. The Parable of the Sower Matthew 13:1-9 13:1 Ἐν τῇ ἡµέρᾳ ἐκείνῃ ἐξελθὼν ὁ Ἰησοῦς τῆς οἰκίας ἐκάθητο παρὰ τὴν θάλασσαν 13:2 καὶ συνήχθησαν πρὸς αὐτὸν ὄχλοι πολλοί, ὥστε αὐτὸν εἰς πλοῖον ἐµβάντα καθῆσθαι,

Διαβάστε περισσότερα

παρὰ τὴν θάλασσαν ἐν τῇ θαλάσσῃ καθῆσθαι ἦσαν

παρὰ τὴν θάλασσαν ἐν τῇ θαλάσσῃ καθῆσθαι ἦσαν OpenText.org lause nnotation of Mark 4 v1. Mar.c4_1 πάλιν ἤρξατο Mar.c4_2 διδάσκειν παρὰ τὴν θάλασσαν Mar.c4_3 c4_1 συνάγεται πρὸς αὐτὸν ὄχλος πλεῖστος Mar.c4_4 c4_3 ὥστε αὐτὸν Mar.c4_5 εἰς πλοῖον ἐμβάντα

Διαβάστε περισσότερα

Matthew 13. LGNT - August 18, 2019 Page 1. Book Chapter Verse. Word # in Matt. # of words. Interlinear English. Numeric value. # of letters.

Matthew 13. LGNT - August 18, 2019 Page 1. Book Chapter Verse. Word # in Matt. # of words. Interlinear English. Numeric value. # of letters. Book Chapter Verse Interlinear English Word # in Matt Greek # of letters # of words Numeric value 011301 in 06995 ΕΝ 2 55 011301 the 06996 ΤΗΙ 3 318 011301 day 06997 ΗΜΕΡΑΙ 6 164 011301 that 06998 ΕΚΕΙΝΗΙ

Διαβάστε περισσότερα

Matthew Mark Luke Greek Reconstruction Hebrew Reconstruction

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

Διαβάστε περισσότερα

I am. Present indicative

I 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 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

Mark The Growing Seed

Mark The Growing Seed Mark 4.26-29 The Growing Seed 26 Καὶ ἔλεγεν οὕτως ἐστὶν ἡ βασιλεία τοῦ θεοῦ ὡς ἄνθρωπος βάλῃ τὸν σπόρον ἐπὶ τῆς γῆς NAU And He was saying, "The kingdom of God is like a man who casts seed upon the soil;

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

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

Revelation 10. LGNT - September 7, 2019 Page 1. Book Chapter Verse. Word # Rev. Interlinear English. Numeric value. # of words. # of letters.

Revelation 10. LGNT - September 7, 2019 Page 1. Book Chapter Verse. Word # Rev. Interlinear English. Numeric value. # of words. # of letters. Book Chapter Verse Interlinear English Word # Rev Greek # of letters # of words Numeric value 271001 and 03876 ΚΑΙ 3 31 271001 I saw 03877 ΕΙΔΟΝ 5 139 271001 another 03878 ΑΛΛΟΝ 5 181 271001 [mighty] angel

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

ΦωτίστεΤονΚόσμο. ΠΡΩΤΟΒΟΥΛΙΑ ΧΡΙΣΤΟΥΓΕΝΝΩΝ Νοεμβρίου Δεκεμβρίου 2017

ΦωτίστεΤονΚόσμο. ΠΡΩΤΟΒΟΥΛΙΑ ΧΡΙΣΤΟΥΓΕΝΝΩΝ Νοεμβρίου Δεκεμβρίου 2017 ΦωτίστεΤονΚόσμο ΠΡΩΤΟΒΟΥΛΙΑ ΧΡΙΣΤΟΥΓΕΝΝΩΝ 2017 24 Νοεμβρίου -- 25 Δεκεμβρίου 2017 ΘΕΜΑ «Καθώς ακολουθούμε το παράδειγμα του Σωτήρος και ζούμε όπως ζούσε Εκείνος και όπως δίδασκε, αυτό το φως θα καίει μέσα

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

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

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

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 26 (ΜΑΘΗΜΑ ΕΙΚΟΣΙ ΕΞΙ) REF : 102/030/26. 18 November 2014

LESSON 26 (ΜΑΘΗΜΑ ΕΙΚΟΣΙ ΕΞΙ) REF : 102/030/26. 18 November 2014 LESSON 26 (ΜΑΘΗΜΑ ΕΙΚΟΣΙ ΕΞΙ) REF : 102/030/26 18 November 2014 But Weekend I love The song I sing I smile I laugh Greek (thing) Greek(people) Greek (man) αλλά (το) Σαββατοκύριακο αγαπώ (το) τραγούδι τραγουδώ

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

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

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

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

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

Chapter 2 * * * * * * * Introduction to Verbs * * * * * * *

Chapter 2 * * * * * * * Introduction to Verbs * * * * * * * Chapter 2 * * * * * * * Introduction to Verbs * * * * * * * In the first chapter, we practiced the skill of reading Greek words. Now we want to try to understand some parts of what we read. There are a

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

If You Build It, They May Come Parable of the Tower Builder

If You Build It, They May Come Parable of the Tower Builder If You Build It, They May Come Parable of the Mark Vitalis Hoffman www.crossmarks.com Τίς γὰρ ἐξ ὑµῶν θέλων πύργον οἰκοδοµῆσαι οὐχὶ πρῶτον καθίσας ψηφίζει τὴν δαπάνην, εἰ ἔχει εἰς ἀπαρτισµόν; doesn't first

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

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

Notes are available 1

Notes are available 1 Notes are available 1 Galatians 2:15 4.12 2 3:15, 3:19 interpretational contradiction LAW cannot be and was added Promise 3 Gal.3:19 4 Mt 6:27 Which of you by taking thought can add one cubit unto

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

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

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

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

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

«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

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

Notes on the Greek New Testament Week 143 Matthew 13:10-43

Notes on the Greek New Testament Week 143 Matthew 13:10-43 Notes on the Greek New Testament Week 143 Matthew 13:10-43 Day 711: Matthew 13:10-17 Verse 10 Καὶ προσελθόντες οἱ µαθηταὶ εἶπαν αὐτῷ, ιὰ τί ἐν παραβολαῖς λαλεῖς αὐτοῖς; προσερχοµαι come or go to µαθητης,

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

Strain gauge and rosettes

Strain gauge and rosettes Strain gauge and rosettes Introduction A strain gauge is a device which is used to measure strain (deformation) on an object subjected to forces. Strain can be measured using various types of devices classified

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

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

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

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

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

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

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

Διαβάστε περισσότερα

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

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

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

Ἀκούσας δὲ ὁ Ἰησοῦς ἀνεχώρησεν ἐκεῖθεν ἐν πλοίῳ εἰς ἔρημον τόπον κατ ἰδίαν καὶ ἀκούσαντες οἱ ὄχλοι ἠκολούθησαν αὐτῷ πεζῇ ἀπὸ τῶν πόλεων.

Ἀκούσας δὲ ὁ Ἰησοῦς ἀνεχώρησεν ἐκεῖθεν ἐν πλοίῳ εἰς ἔρημον τόπον κατ ἰδίαν καὶ ἀκούσαντες οἱ ὄχλοι ἠκολούθησαν αὐτῷ πεζῇ ἀπὸ τῶν πόλεων. Matthew 14.13-21 13 Ἀκούσας δὲ ὁ Ἰησοῦς ἀνεχώρησεν ἐκεῖθεν ἐν πλοίῳ εἰς ἔρημον τόπον κατ ἰδίαν καὶ ἀκούσαντες οἱ ὄχλοι ἠκολούθησαν αὐτῷ πεζῇ ἀπὸ τῶν πόλεων. Now when Jesus heard about John, He withdrew

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

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

ΣΟΡΟΠΤΙΜΙΣΤΡΙΕΣ ΕΛΛΗΝΙΔΕΣ

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

Διαβάστε περισσότερα

13:31 38 Intro to farewell discourse. Jesus is going

13:31 38 Intro to farewell discourse. Jesus is going South Central Gospel Partnership Day Conference THESE THINGS I HAVE SAID TO YOU John 14-16 If running a discipleship group/course, what topics would you want to cover? Purpose clauses in John 14-16 ταῦτα

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

ΘΕΙΑΣ ΑΝΑΛΗΨΕΩΣ. Greek Orthodox Church. Ελληνική Ορθόδοξη Εκκλησία. Ecumenical Patriarchate Greek Orthodox Metropolis of New Jersey ASCENSION

ΘΕΙΑΣ ΑΝΑΛΗΨΕΩΣ. Greek Orthodox Church. Ελληνική Ορθόδοξη Εκκλησία. Ecumenical Patriarchate Greek Orthodox Metropolis of New Jersey ASCENSION Ecumenical Patriarchate Greek Orthodox Metropolis of New Jersey ASCENSION Greek Orthodox Church FAIRVIEW - NEW JERSEY Weekly Bulletin Sunday June 1 st, 2014 Fathers of the 1st Ecumenical Council Οικουμενικόν

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

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

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

the total number of electrons passing through the lamp.

the total number of electrons passing through the lamp. 1. A 12 V 36 W lamp is lit to normal brightness using a 12 V car battery of negligible internal resistance. The lamp is switched on for one hour (3600 s). For the time of 1 hour, calculate (i) the energy

Διαβάστε περισσότερα

Parable of the Sower Mark 4:1-25. Koiné Greek II. by Thor F. Carden

Parable of the Sower Mark 4:1-25. Koiné Greek II. by Thor F. Carden Parable of the Sower Mark 4:1-25 Koiné Greek II by Thor F. Carden In hopes that you, the student, may better understand and enjoy God's Beautiful Bible. Page 2 Mark 4:1-25 Koiné Greek II Copyright 2016

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

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

Present 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 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 περισσότερα

Ephesians. Wayne Stewart

Ephesians. Wayne Stewart Ephesians Wayne Stewart 1 Shadows of a ministry independent of Jerusalem and the 12 Taken from CH Welch 2 Acts 28:25 25 (AV) And when they agreed not among themselves, they departed, after that Paul had

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

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

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

On a four-dimensional hyperbolic manifold with finite volume

On a four-dimensional hyperbolic manifold with finite volume BULETINUL ACADEMIEI DE ŞTIINŢE A REPUBLICII MOLDOVA. MATEMATICA Numbers 2(72) 3(73), 2013, Pages 80 89 ISSN 1024 7696 On a four-dimensional hyperbolic manifold with finite volume I.S.Gutsul Abstract. In

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

Calculating the propagation delay of coaxial cable

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

Διαβάστε περισσότερα

Capacitors - Capacitance, Charge and Potential Difference

Capacitors - Capacitance, Charge and Potential Difference Capacitors - Capacitance, Charge and Potential Difference Capacitors store electric charge. This ability to store electric charge is known as capacitance. A simple capacitor consists of 2 parallel metal

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

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

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

Διαβάστε περισσότερα

Ordinal Arithmetic: Addition, Multiplication, Exponentiation and Limit

Ordinal Arithmetic: Addition, Multiplication, Exponentiation and Limit Ordinal Arithmetic: Addition, Multiplication, Exponentiation and Limit Ting Zhang Stanford May 11, 2001 Stanford, 5/11/2001 1 Outline Ordinal Classification Ordinal Addition Ordinal Multiplication Ordinal

Διαβάστε περισσότερα

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

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

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

Mark 4. LGNT - August 19, 2019 Page 1

Mark 4. LGNT - August 19, 2019 Page 1 Book Chapter Verse Interlinear English Word # in Mark Greek # of letters # of words Numeric value 020401 and 01788 ΚΑΙ 3 31 020401 again 01789 ΠΑΛΙΝ 5 171 020401 He began 01790 ΗΡΞΑΤΟ 6 539 020401 to teach

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

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

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

1st and 2nd Person Personal Pronouns

1st and 2nd Person Personal Pronouns 1st and 2nd Person Personal Pronouns Case First Person Second Person I You () Nominative ἐγώ σύ Accusative ἐμέ or με σέ Genitive ἐμοῦ or μου σοῦ Dative ἐμοί or μοι σοί We You () Nominative ἡμεῖς ὑμεῖς

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

Nuclear Physics 5. Name: Date: 8 (1)

Nuclear Physics 5. Name: Date: 8 (1) Name: Date: Nuclear Physics 5. A sample of radioactive carbon-4 decays into a stable isotope of nitrogen. As the carbon-4 decays, the rate at which the amount of nitrogen is produced A. decreases linearly

Διαβάστε περισσότερα

Homework 3 Solutions

Homework 3 Solutions Homework 3 Solutions Igor Yanovsky (Math 151A TA) Problem 1: Compute the absolute error and relative error in approximations of p by p. (Use calculator!) a) p π, p 22/7; b) p π, p 3.141. Solution: For

Διαβάστε περισσότερα

b. Use the parametrization from (a) to compute the area of S a as S a ds. Be sure to substitute for ds!

b. Use the parametrization from (a) to compute the area of S a as S a ds. Be sure to substitute for ds! MTH U341 urface Integrals, tokes theorem, the divergence theorem To be turned in Wed., Dec. 1. 1. Let be the sphere of radius a, x 2 + y 2 + z 2 a 2. a. Use spherical coordinates (with ρ a) to parametrize.

Διαβάστε περισσότερα

ΑΤΕΙ ΙΟΝΙΩΝ ΝΗΣΩΝ ΤΜΗΜΑ ΔΗΜΟΣΙΩΝ ΣΧΕΣΕΩΝ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑΣ ΑΡΓΟΣΤΟΛΙ ΚΕΦΑΛΗΝΙΑΣ

ΑΤΕΙ ΙΟΝΙΩΝ ΝΗΣΩΝ ΤΜΗΜΑ ΔΗΜΟΣΙΩΝ ΣΧΕΣΕΩΝ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑΣ ΑΡΓΟΣΤΟΛΙ ΚΕΦΑΛΗΝΙΑΣ ΑΤΕΙ ΙΟΝΙΩΝ ΝΗΣΩΝ ΤΜΗΜΑ ΔΗΜΟΣΙΩΝ ΣΧΕΣΕΩΝ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑΣ ΑΡΓΟΣΤΟΛΙ ΚΕΦΑΛΗΝΙΑΣ 2014 Η ΜΕΤΑΒΑΣΗ ΑΠΟ ΤΗ ΣΤΑΘΕΡΗ ΣΤΗ ΚΙΝΗΤΗ ΤΗΛΕΦΩΝΙΑ ΚΑΙ ΟΙ ΕΠΙΔΡΑΣΕΙΣ ΤΗΣ ΣΤΗΝ ΕΠΙΚΟΙΝΩΝΙΑΚΗ ΣΥΜΠΕΡΙΦΟΡΑ ΕΠΙΒΛΕΠΩΝ ΚΑΘΗΓΗΤΗΣ:

Διαβάστε περισσότερα

Κ Υ Ρ Ι Α Κ Η Τ Ο Υ Λ Ο Υ Κ Α

Κ Υ Ρ Ι Α Κ Η Τ Ο Υ Λ Ο Υ Κ Α ΙΕΡΑ ΜΗΤΡΟΠΟΛΗ ΜΕΣΟΓΑΙΑΣ ΚΑΙ ΛΑΥΡΕΩΤΙΚΗΣ ΙΕΡΟΣ ΝΑΟΣ ΑΓΙΟΥ ΝΙΚΟΛΑΟΥ ΜΑΡΚΟΠΟΥΛΟΥ ΜΕΣΟΓΑΙΑΣ Κ Υ Ρ Ι Α Κ Η Τ Ο Υ Λ Ο Υ Κ Α «ΟΓΜΑ» ΚΑΙ ΖΩΗ Μητροπολίτου Κορωνείας Παντελεήµονος (Καθρεπτίδη) ΧΑΡ. ΝΙΚΟΛΑΟΥ & Α.

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

The challenges of non-stable predicates

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

Διαβάστε περισσότερα

6.1. Dirac Equation. Hamiltonian. Dirac Eq.

6.1. Dirac Equation. Hamiltonian. Dirac Eq. 6.1. Dirac Equation Ref: M.Kaku, Quantum Field Theory, Oxford Univ Press (1993) η μν = η μν = diag(1, -1, -1, -1) p 0 = p 0 p = p i = -p i p μ p μ = p 0 p 0 + p i p i = E c 2 - p 2 = (m c) 2 H = c p 2

Διαβάστε περισσότερα

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

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

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

Διαβάστε περισσότερα

John 14. LGNT - August 23, 2019 Page 1. Book Chapter Verse. Word # in John. # of words. Interlinear English. Numeric value. # of letters.

John 14. LGNT - August 23, 2019 Page 1. Book Chapter Verse. Word # in John. # of words. Interlinear English. Numeric value. # of letters. Book Chapter Verse Interlinear English Word # in John Greek # of letters # of words Numeric value 041401 do not 10682 ΜΗ 2 48 041401 be troubled 10683 ΤΑΡΑΣΣΕΣΘΩ 10 1816 041401 of you 10684 ΥΜΩΝ 4 1290

Διαβάστε περισσότερα

Matthew 1.1 >< Mark 1.1. Matthew vs. Mark. Matthew 1:23 דוד א ב ג ד ה ו Ἀρχὴ τοῦ εὐαγγελίου

Matthew 1.1 >< Mark 1.1. Matthew vs. Mark. Matthew 1:23 דוד א ב ג ד ה ו Ἀρχὴ τοῦ εὐαγγελίου Matthew vs. Mark Matthew 1.1 >< Mark 1.1 http://www.kabbalah.com/k/index.php/p=zohar/zohar&vol=1&sec=6 Βίβλος γενέσεως Ἰησοῦ Χριστοῦ υἱοῦ Δαυὶδ υἱοῦ Ἀβραάμ. An account of the genealogy of Jesus the Messiah,

Διαβάστε περισσότερα

2007 Classical Greek. Intermediate 2 Translation. Finalised Marking Instructions

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

Διαβάστε περισσότερα

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