Unit 16: Verbs, Indirect Statement, & Others. φημί, to say, affirm, assert. φημί: Present Indicative Active. φημί: Imperfect Indicative Active

Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download "Unit 16: Verbs, Indirect Statement, & Others. φημί, to say, affirm, assert. φημί: Present Indicative Active. φημί: Imperfect Indicative Active"

Transcript

1 Unit 16: Verbs,, & Others In this unit, we ll cover a number of topics: φημί, to say, affirm, assert γιγνώσκω, to perceive, recognize, know This verb has a root aorist, ἔγνων The future optative The future infinitive Indirect statement Three types Other grammatical topics, including a new adjective and a new noun. φημί, to say, affirm, assert We learned most of the -μι verbs back in Unit 12, but there are still a few to learn. φημί is only used in the active, and is athematic in the present and imperfect tenses. It is conjugated almost exactly like ἵστημι, but: Like εἰμί, all forms in the present indicative active are enclitic except for the 2 nd singular Like other -μι verbs, φημί has a long- and a short-vowel grade stem: Long-vowel grade: φη- Short-vowel grade: φα- In the present and imperfect indicatives active, the long-vowel grade is used in the singular, and the short-vowel grade in the plural. Other tenses and moods use the short-vowel grade, as usual. 1 2 φημί: Present Indicative Active Let s look at the present indicative active. sg. pl. 1 φημί φαμέν φημί: Imperfect Indicative Active The imperfect indicative active and other tenses are not enclitic only the present indicative active (with the exception of 2 sg.) 2 φῄς φατέ 3 φησί(ν) φᾱσί(ν) 3 4

2 φημί: Imperfect Indicative Active sg. pl. 1 ἔφην ἔφαμεν 2 ἔφησθα/ἔφης ἔφατε 3 ἔφη ἔφασαν (For the first form of 2 sg., cf. ἦσθα from εἰμί) φημί: Present Subjunctive Active sg. pl. 1 φῶ (<*φέω) φῶμεν (<*φέωμεν) 2 φῇς (<*φέῃς) φῆτε (<*φέητε) 3 φῇ (<*φέῃ) φῶσι(ν) (<*φέωσι[ν]) Like other -μι verbs, φημί forms its subjunctive by contracting the stem vowel (in this case, the stem is φε-) when thematic subjunctive endings are added on. 5 6 φημί: Present Optative Active The present optative active is formed very similarly to -μι optatives we have previously seen, and uses the short-vowel grade of the stem. φημί: Present Optative Active sg. pl. 1 φαίην φαῖμεν/φαίημεν 2 φαίης φαῖτε/φαίητε 3 φαίη φαῖεν/φαίησαν 7 8

3 φημί: Present Imperative Active The present imperative active looks very similar to the aorist imperative active of ἵστημι, and uses the short-vowel grade of the stem. sg. pl. 2 φάθι φάτε 3 φάτω φάντων φημί: Present Infinitive Active & Participles The present infinitive active of φημί is similar to that of other -μι verbs: φάναι The present active participles are as follows: M. φάς, φάντος (stem φαντ-) F. φᾶσα, φάσης (stem φασ-) N. φάν, φάντος (stem φαντ-) Note that the masc. & neut. gen. pl., φάντων, is identical to the present imperative active 3 pl. In Attic prose, participial forms from φάσκω, to say, are used instead of these forms, however: e.g., φάσκων, φάσκουσα, φάσκον γιγνώσκω s Athematic Aorist System Now that we ve seen φημί and its quirks, we must look at another verb, γιγνώσκω. It is regular in other systems, but the aorist is athematic: ἔγνων Just as with ἵστημι, which also has a root aorist, there is no aorist middle system for γιγνώσκω. The aorist active stem comes in two forms: Long-vowel grade: γνω- Short-vowel grade: γνο- The long-vowel grade is used for the indicative, imperative, and infinitive; the short-vowel grade is used for the subjunctives and optatives, as well as the participial stems in the masc. & neut. γιγνώσκω: Aorist Systems For the aorist indicative active, we will conjugate it exactly like ἔστην (from ἵστημι), by adding the following endings to the augmented long-vowel grade of the stem: -ν, -ς, (none), -μεν, -τε, -σαν For the aorist subjunctive active, de-augment the stem, and we will conjugate it just like the equivalent forms in δίδωμι: γνῶ (<*γνόω), γνῷς (<*γνόῃς), γνῷ (<*γνόῃ), γνῶμεν (<*γνόωμεν), γνῶτε (<*γνόητε), γνῶσι(ν) (<*γνόωσι[ν]) The aorist optative active will add to the unaugmented short-vowel grade of the stem the endings -ιην, -ιης, -ιη, -ῖμεν/ιημεν, -ῖτε/ιητε, -ῖεν/ιησαν 11 12

4 γιγνώσκω: Aorist Systems The aorist imperative active is also formed very similarly to that of ἵστημι: 2 sg. γνῶθι, 2 pl. γνῶτε; 3 sg. γνώτω, 3 pl. γνόντων The aorist infinitive active is γνῶναι (cf. στῆναι from ἔστην) The participles are as follows: M. γνούς, γνόντος (stem γνοντ-) F. γνοῦσα, γνούσης (stem γνουσ-) N. γνόν, γνόντος (stem γνοντ-) Note the ο in γνόντων (rather than *γνώντων; cf. στάντων not *στήντων) Future Optatives The future optative system is used, among other things, to stand in place of a future indicative in one kind of indirect statement (which we ll talk about a little later). Thankfully, the future optatives are relatively easy to conjugate, since you all already know the endings Future Optatives The future optative active: Get the future active/middle stem: remove -ω or -ομαι from the 2 nd principal part Add the thematic present optative active endings: e.g., γράψοιμεν from γράφω For verbs with contracted futures, form them as if they were the present optative active of ποιέω or τιμάω. e.g., for μένω: μενοῖμεν/μενοίημεν (<*μενέοιμεν) ἐλαύνω s future is ἐλῶ (<*ἐλάω), conjugated like τιμάω: ἐλῷμεν (<*ἐλάοιμεν)/ἐλῴημεν (<*ἐλαοίημεν) (cf. Unit 17) Future Optatives The future optative middle: Get the future active/middle stem: remove -ω or -ομαι from the 2 nd principal part Add the thematic present optative middle/passive endings: e.g., γράψοιτο from γράφω For verbs with contracted futures, form them as if they were the present optative middle/passive of ποιέω or τιμάω. e.g., for μένω: μενοῖο (<*μενέοιο) ἐλαύνω s future is ἐλῶ (<*ἐλάω), conjugated like τιμάω: ἐλῴμεθα (<*ἐλαοίμεθα) 15 16

5 Future Optatives The future optative passive: Get the future passive stem: de-augment the 6 th principal part, remove -ην, and add -ησ- i.e., ἐβλήθην (< βάλλω) βληθησ- Add thematic present middle/passive optative endings to the stem: e.g., βληθήσοισθε from βάλλω Future Infinitives The future infinitive can stand in for a future indicative in one type of indirect statement, among other functions. The infinitives are relatively easy to form: Future active infinitive: add -ειν to the future active/middle stem. Recessive accent. e.g. φυλάξειν For verbs with contracted futures, form the infinitive like the present active infinitive of ποιέω or τιμάω: μενεῖν (<*μενέειν) Future middle infinitive: add -εσθαι to the future active/middle stem. Recessive accent; -αι counts as short for purposes of accentuation: κελεύσεσθαι For verbs with contracted futures, form the infinitive like the present middle/passive infinitive of ποιέω or τιμάω: μενεῖσθαι (<*μενέεσθαι) Future passive infinitive: add -εσθαι to the future passive stem. Recessive accent w/short -αι: δοθήσεσθαι (fr. δίδωμι) Generally, we speak in direct speech, or see things directly quoted, as in: He said, They were sacrificing goats to the gods. However, we also often encounter indirect speech, also called indirect statement (sometimes reported speech ). (Lat. oratio obliqua, lit. slanting speech vs. oratio recta, lit. upright/straight speech ) He said that they were sacrificing goats to the gods. Note that this is indirect because it is not a direct quotation from him, but what he reportedly said. The equivalent in direct speech would be: He said, They were sacrificing goats to the gods This is precisely what he said indirectly above. Greek has three formulae for indirect statement: Finite verb + ὅτι/ὡς Infinitive + Subject Accusative Participle + Subject Accusative 19 20

6 We ll start by talking about the first, finite verb + ὅτι/ὡς. Finite verb + ὅτι/ὡς + indirect statement The verb after ὅτι/ὡς depends on the sequence of the main clause. If the main verb is in a primary tense, the verbs in the indirect statement keep their original moods and tenses, and are translated accordingly. If the main verb is in a secondary tense, all verbs in the indirect statement change from indicative to optative of the same tense as the original statement. Negatives undergo no changes in either case. A verb of saying/speaking such as λέγω can introduce this type of indirect statement. Here are some examples: λέγομεν ὅτι οἱ γέροντες τοῖς ἄρχουσιν ἕπονται We are saying that the old men are following the archons. λέξεθ ὅτι τῶν ἄθλων ἀνάξιοι ἦμεν You all will say that we were unworthy of the prizes. εἶπες ὡς ὁ βασιλεὺς οὐ τιμῷτο ὑπὸ τοῦ δήμου. You said that the king was not being honored by the people (pres. opt.) εἶπον ὅτι ἡ φάλαγξ τὴν γέφυραν οὐ φυλάξειεν. I said that the phalanx did not guard the bridge (aor. opt.) Note that, when in secondary sequence, the tense of the optative should reflect the original tense of the verb if it were in direct speech. i.e., if the original verb was aorist, use aorist optative; if the original verb was present, use present optative. That said, if we want to express time subsequent to that of the main verb, we will use the future optative: εἶπεν ὅτι οἱ θεοὶ τοὺς ἀνθρώπους οὐ βλάψοιεν. He said that the gods would not harm humans Perfect indicative is represented in indirect statement by the perfect optative (cf. pp , 666); it is a rare occurrence. Sometimes, in secondary sequence, the verb in indirect statement is not changed to an optative. This is called a retained indicative. Makes the indirect statement more vivid Retained indicative is also used to represent imperfect and pluperfect in indirect statement. εἶπες ὅτι οἱ νεανίαι χρυσόν τε καὶ ἄργυρον ἔκλεπτον You said that the young men were stealing gold and silver. (impf.) 23 24

7 With this kind of indirect statement, the optative, when used in secondary sequence, can express relative time as well as aspect. Present optative: simultaneous with main verb Aorist optative: prior to main verb Future optative: subsequent to main verb The second kind of indirect statement is infinitive + subject accusative (accusative + infinitive, for short, if you like) In this kind, the indicative verb of the original statement in direct speech is replaced by an infinitive of the same tense. The subject of the original statement is shifted from the nominative to the accusative, and serves as the accusative subject of the infinitive. No introductory conjunction like ὅτι/ὡς The infinitive can show time as well as aspect: Present infinitive: simultaneous with main verb Aorist infinitive: prior to main verb Future infinitive: subsequent to main verb Perfect infinitive: completed action The imperfect and pluperfect can be represented by the present and perfect infinitives, if necessary. The verb νομίζω, to consider, think, believe, among others, can introduce infinitive + subject accusative indirect statement. νομίζομεν τοὺς ἄρχοντας τὰ χρήματα τοῦ δήμου κλέπτειν, we think that the archons are stealing the money of the people νομίζετε τὸν αἰσχρὸν βασιλέα τὰς ὑμετέρας οἰκίας λῦσαι, You all think that the shameful king destroyed your houses ἐνόμιζε τὸν διδάσκαλον τοὺς ἑαυτοῦ παῖδας εὖ διδάξαι, He thought that the teacher taught his (own) children well An easy way to visualize how this construction works is to translate quite literally: we think the archons to be stealing... ; you all think the shameful king to destroy (aor.)... ; he thought the teacher to teach (aor.)... It s fine to conceptualize it in this way, but don t translate like this

8 If the subject of the main verb and that of the infinitive are the same, do not use a subject accusative: ἐνόμισα τὸ ἆθλον νικήσειν, I thought that I would win the prize Note that the subject accusative must appear if the subject of the main verb and that of the indirect statement differ. Cf. ἐνόμισα αὐτὴν τὸ ἆθλον νικήσειν, I thought that she would win the prize While it is technically possible, it would not make sense to translate the first as I thought that the prize would win If there is a predicate adjective, it will agree with the accusative subject of the indirect statement: νομίζουσι τὴν ἀγορὰν καλὴν εἶναι, They think that the marketplace is beautiful However, if the subject of the main verb and that of the infinitive are the same as before, do not use a separate subject accusative: νομίζω εὐδαίμων εἶναι, I think that I am fortunate Cf. νομίζω τὸν ἐμαυτοῦ φίλον εὐδαίμον εἶναι, I think that my (own) friend is fortunate The third type of indirect statement involves a participle + subject accusative. This type is used with verbs such as ἀκούω, ἀγγέλλω, and αἰσθάνομαι The original indicative of the indirect statement is replaced by a participle of the same tense, and the subject of that original verb is shifted from the nominative to the accusative (hence participle + acc.) For example: I announce that the generals destroyed the bridge (indirect statement) I announce, The generals destroyed the bridge. (direct speech) The generals destroyed the bridge is what the subject is announcing, but it is not a direct quotation, hence indirect statement. As with infinitive + accusative, if the subject of the participle is the same as that of the main verb, the participle agrees with the subject of the main verb (= nominative). If the subject of the participle is different, it must appear in the accusative. Some examples with ἀγγέλλω: ἀγγέλλομεν τὸν δῆμον τὴν πόλιν λείποντα, We announce that the people are abandoning the city (pres.) ἀγγέλλετε τοὺς διδασκάλους χρυσὸν πᾶσι δόντας, You all announce that the teachers gave gold to all (aor.) ἤγγειλα Δημοσθένη τὴν ῥητορικὴν οὐ γιγνώσκοντα, I announced that Demosthenes did not understand rhetoric (pres. = same time as main vb. [aor.]) 31 32

9 Some examples with αἰσθάνομαι: αἰσθάνεται τὴν πόλιν ἀδικῶν, He perceives that he is doing wrong to the city (subj. of main vb. & part. = the same) αἰσθανόμεθ αὐτὰς τιμῆς ἀξίας οὔσας, We perceive that they are worthy of honor (other people) Some examples with ἀκούω: ἀκούεις τοὺς ἄρχοντας αἰσχρῶς βλαβέντας, You hear that the archons were shamefully harmed (aor. pass.) However, ἀκούω can also take its normal object in the genitive, paired with a participle, to point out something that was physically perceived (vs. intellectually, as with ἀκούω + indir. st.): ἤκουσα Δημοσθένους αἰσχρὰ λέγοντος, I heard Demosthenes speaking shameful things (heard with my own ears, not heard from someone else) Do make sure to note the list on p. 470 of verbs which introduce indirect statement. This will be a helpful list of guidelines when trying to determine what type of indirect statement is being used after what verb Retained Subjunctive Sometimes, for the sake of vividness, purpose and fear clauses can retain their subjunctive in secondary sequence, rather than changing it to an optative. This is called retained subjunctive. Example: ἐφοβεῖσθε μὴ τοὺς ἡμετέρους φίλους ὁρῶμεν, You all feared that we might/would see our friends (not ὁρῷμεν or ὁρῴημεν opt.) πολύς, πολλή, πολύ πολύς is a hybrid sort of adjective meaning much (sg.) or many (pl.) It has forms from the 1 st, 2 nd, and 3 rd declensions The masc. & neut. nom. & acc. sg. are from the 3 rd declension, and are built off the stem πολυ- The rest of the forms are like -ος, -η, -ον adjectives, and are built from the stem πολλ

10 πολύς, πολλή, πολύ Let s look at the forms: sg. (masc.) pl. N πολύς πολλοί G πολλοῦ πολλῶν D πολλῷ πολλοῖς Ac πολύν πολλούς πολύς, πολλή, πολύ Let s look at the forms: sg. (fem.) pl. N πολλή πολλαί G πολλῆς πολλῶν D πολλῇ πολλαῖς Ac πολλήν πολλάς πολύς, πολλή, πολύ Let s look at the forms: sg. (neut.) pl. N πολύ πολλά G πολλοῦ πολλῶν D πολλῷ πολλοῖς Ac πολύ πολλά ναῦς, νεώς, ἡ ship We need to look at a noun which has some irregular and idiosyncratic forms, ναῦς, the word for ship. The genitive was originally νηός, but underwent quantitative metathesis (cf. βασιλέως from *βασιλῆος, πόλεως from *πόληος), switching the quantity of each vowel from long short or vice versa. The νη- stem only survives in the dat. sg. and nom./voc. pl.; the rest are νε- or ναυ

11 ναῦς, νεώς, ἡ ship Let s go through the forms of ναῦς: sg. pl. N ναῦς νῆες G νεώς νεῶν D νηί ναυσί(ν) Ac ναῦν ναῦς V ναῦ νῆες Note that nom. sg. & acc. pl. are identical. 41

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

22.1: Root Aorist (Athematic Long-Vowel Aorist)

22.1: Root Aorist (Athematic Long-Vowel Aorist) 22.1: Root Aorist (Athematic Long-Vowel Aorist) A THIRD AORIST? In previous lessons you learned the following types of active aorist conjugations: ἔπαυσα First aorist (Lesson 9). A regular tense that we

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

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

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

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

Croy 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. 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 περισσότερα

d. Case endings (Active follows declension patterns, Middle follows declension patterns)

d. Case endings (Active follows declension patterns, Middle follows declension patterns) Mounce 8 Handout: Aorist-stem PTCs Dr. Phillip Marshall. st Aorist Active and Middle PTC formations: a. Use Aorist Active stem, UN-augmented (not indicative!) b. Tense formative: -σα- c. Participle morpheme:

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

Mounce Handout: Introduction to Participles (PTCs), Present-stem PTCs Dr. Phillip Marshall

Mounce Handout: Introduction to Participles (PTCs), Present-stem PTCs Dr. Phillip Marshall Mounce 26-27 Handout: Introduction to Participles (PTCs), Present-stem PTCs Dr. Phillip Marshall What are PTCs?. Participles are verbal adjectives!! They have verbal characteristics (can be marked in Greek

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

VERBS: memory aids through lesson 9 ACTIVE PRESENT AND IMPERFECT IMPERATIVE

VERBS: memory aids through lesson 9 ACTIVE PRESENT AND IMPERFECT IMPERATIVE Verbs. thr.less9, p1 moods tenses INDICATIVE VERBS: memory aids through lesson 9 ACTIVE PRESENT AND IMPERFECT present present stem + / primary person endings present stem + / ending of infinitive I stop

Διαβάστε περισσότερα

Croy Lesson 10. Kind of action and time of action. and/or Redup. using the verb λύω

Croy 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 περισσότερα

GREEK GRAMMAR I Future Active and Middle-Deponent Indicative Tense Dr. Marshall

GREEK GRAMMAR I Future Active and Middle-Deponent Indicative Tense Dr. Marshall GREEK GRAMMAR I Future Active and Middle-Deponent Indicative Tense Dr. Marshall I. Future Active Indicative A. Basics: Stem: The Greek future tense uses the Future Active Stem (sometimes the same as the

Διαβάστε περισσότερα

Summer Greek. Lesson 10 Vocabulary. Greek Verbs using the verb λύω. Greek Verbs. Greek Verbs: Conjugating. Greek Verbs: Conjugating.

Summer Greek. Lesson 10 Vocabulary. Greek Verbs using the verb λύω. Greek Verbs. Greek Verbs: Conjugating. Greek Verbs: Conjugating. 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) ὑπέρ (G,A) TENSE => KIND of action

Διαβάστε περισσότερα

NOM -**- [**] -ες / -εις [-α ] GEN -ος / -ως / -ους -ων. DAT -ι -σι. ACC -α / -ιν [**] -ας / -εις [-α ]

NOM -**- [**] -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 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

Summer Greek. Greek Verbs -TENSE ASPECT. Greek Verbs. Greek Verbs. Greek Verbs. Greek Verbs. Croy Lesson 9. KINDof action.

Summer Greek. Greek Verbs -TENSE ASPECT. Greek Verbs. Greek Verbs. Greek Verbs. Greek Verbs. Croy Lesson 9. KINDof action. A -TENSE ASPECT Summer Greek Croy Lesson 9 Ω KINDof action CONTINUING (ongoing, linear) COMPLETED (with result or ongoing effect) SIMPLE (affirmation of action w/out regard to duration or completion) TIME

Διαβάστε περισσότερα

Summer Greek. Greek Verbs - TENSE ASPECT. Greek Verbs. Greek Verbs. Greek Verbs. Greek Verbs. Croy Lesson 9

Summer Greek. Greek Verbs - TENSE ASPECT. Greek Verbs. Greek Verbs. Greek Verbs. Greek Verbs. Croy Lesson 9 A - TENSE ASPECT Summer Greek Croy Lesson 9 Ω KIND of action CONTINUING (ongoing, linear) COMPLETED (with result or ongoing effect) SIMPLE (affirmation of action w/out regard to duration or completion)

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

Summer Greek. Lesson 10 Vocabulary. Greek Verbs. Greek Verbs. Greek Verbs: Conjugating. Greek Verbs: Conjugating. Croy Lesson 10

Summer Greek. Lesson 10 Vocabulary. Greek Verbs. Greek Verbs. Greek Verbs: Conjugating. Greek Verbs: Conjugating. Croy Lesson 10 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 περισσότερα

Perfect Participles. A lesson for the Paideia web-app Ian W. Scott, 2015

Perfect Participles. A lesson for the Paideia web-app Ian W. Scott, 2015 Perfect Participles A lesson for the Paideia web-app Ian W. Scott, 2015 Remember the Components of a Participle Stem Tense marker Connecting vowel Voice indicator Case ending Resulting form λυ σ α ντ ος

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

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

Passive and Middle Voices. A lesson for the Paideia web-app Ian W. Scott, 2015

Passive and Middle Voices. A lesson for the Paideia web-app Ian W. Scott, 2015 Passive and Middle Voices A lesson for the Paideia web-app Ian W. Scott, 2015 The Passive Voice So far all of our Greek verbs have been in the active voice Subject performs the verbal action "Clare is

Διαβάστε περισσότερα

Croy Lessons Second Declension. First Declension PARTICIPLES. THIRD Declension. -αι -ας. -ον. -οι. -ος. / -ης. -ων. -ου. -αν. / -ον.

Croy Lessons Second Declension. First Declension PARTICIPLES. THIRD Declension. -αι -ας. -ον. -οι. -ος. / -ης. -ων. -ου. -αν. / -ον. Croy Lessons 18-20 Greek Verb Formation Αug Redp STEM Tense Theme Ending PRES ACT -- STEM -- o/ε PRES M/P/D -- STEM -- o/ε IMPF ACT ἐ STEM -- o/ε ΙΜPF M/P ἐ STEM -- o/ε FUT ACT -- STEM σ o/ε FUT M/D --

Διαβάστε περισσότερα

Subject - Students love Greek.

Subject - 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 περισσότερα

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

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

Διαβάστε περισσότερα

Croy Lesson 9. => Kind of action and time of action. using the verb λύω

Croy Lesson 9. => Kind of action and time of action. using the verb λύω A - TENSE ASPECT Summer Greek 2009 Croy Lesson 9 Ω KIND of action CONTINUING (ongoing, linear) COMPLETED (with result or ongoing effect) SIMPLE (affirmation of action w/out regard to duration or completion)

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

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

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

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

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

LESSON TEN: THE ADJECTIVE. Memorization of vocabulary ten

LESSON 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 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

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

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

Διαβάστε περισσότερα

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

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

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

Ρηματική άποψη. (Aspect of the verb) Α. Θέματα και άποψη του ρήματος (Verb stems and aspect)

Ρηματική 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 περισσότερα

Summer Greek Lesson 3 - Vocabulary

Summer 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 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

Passive and Middle Voices. A lesson for the Paideia web-app Ian W. Scott, 2015

Passive and Middle Voices. A lesson for the Paideia web-app Ian W. Scott, 2015 Passive and Middle Voices A lesson for the Paideia web-app Ian W. Scott, 2015 The Passive Voice So far all of our Greek verbs have been in the active voice Subject performs the verbal action "Clare is

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

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

ΦΥΛΛΟ ΕΡΓΑΣΙΑΣ Α. Διαβάστε τις ειδήσεις και εν συνεχεία σημειώστε. Οπτική γωνία είδησης 1:.

ΦΥΛΛΟ ΕΡΓΑΣΙΑΣ Α.  Διαβάστε τις ειδήσεις και εν συνεχεία σημειώστε. Οπτική γωνία είδησης 1:. ΦΥΛΛΟ ΕΡΓΑΣΙΑΣ Α 2 ειδήσεις από ελληνικές εφημερίδες: 1. Τα Νέα, 13-4-2010, Σε ανθρώπινο λάθος αποδίδουν τη συντριβή του αεροσκάφους, http://www.tanea.gr/default.asp?pid=2&artid=4569526&ct=2 2. Τα Νέα,

Διαβάστε περισσότερα

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

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

Διαβάστε περισσότερα

Instruction Execution Times

Instruction Execution Times 1 C Execution Times InThisAppendix... Introduction DL330 Execution Times DL330P Execution Times DL340 Execution Times C-2 Execution Times Introduction Data Registers This appendix contains several tables

Διαβάστε περισσότερα

Declension of the definite article

Declension of the definite article Greek alphabet Α α Alpha Ν ν Nu Β β Beta Ξ ξ Xi Γ γ Gamma Ο ο Omicron Δ δ Delta Π π Pi Ε ε Epsilon Ρ ρ Rho Ζ ζ Zeta Σ σ ς Sigma Η η Eta Τ τ Tau Θ θ Theta Υ υ Upsilon Ι ι Iota Φ φ Phi Κ κ Kappa Χ χ Khi

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

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

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

Διαβάστε περισσότερα

Croy Lesson 19 PARTICIPLE CODES AORIST PARTICIPLES AORIST PARTICIPLES

Croy Lesson 19 PARTICIPLE CODES AORIST PARTICIPLES AORIST PARTICIPLES A Croy Lesson 19 Ω PARTICIPLES STEM + TENSE + THEME + PTCP CODE + ENDING PARTICIPLE CODES CASE ENDINGS ντ - masc and neut active (and AOR pass) 3rd τ - masc and neut PF active 3rd σ -fem active (and AOR

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

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

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

Διαβάστε περισσότερα

Croy Lesson 9. => Kind of action and time of action. using the verb λύω

Croy Lesson 9. => Kind of action and time of action. using the verb λύω A - TENSE ASPECT Summer Greek Croy Lesson 9 Ω KIND of action CONTINUING (ongoing, linear) COMPLETED (with result or ongoing effect) SIMPLE (affirmation of action w/out regard to duration or completion)

Διαβάστε περισσότερα

Croy Lessons PARTICIPLES PARTICIPLES PARTICIPLES PARTICIPLES PARTICIPLES. >> CIRCUMSTANTIAL (ADVERBIAL) Under the circumstance of (UTC )

Croy Lessons PARTICIPLES PARTICIPLES PARTICIPLES PARTICIPLES PARTICIPLES. >> CIRCUMSTANTIAL (ADVERBIAL) Under the circumstance of (UTC ) Croy Lessons 18-20 Greek Verb Formation Αug Redp STEM Tense Theme Ending PRES ACT -- STEM -- o/ε PRES M/P/D -- STEM -- o/ε IMPF ACT ἐ STEM -- o/ε ΙΜPF M/P ἐ STEM -- o/ε FUT ACT -- STEM σ o/ε FUT M/D --

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

PERSON PRIMARY. Aorist. Present Future Perfect (Subjunctive) Aorist. Passive. Future SECONDARY. Passive. Imperfect Aorist Pluperfect (Optative)

PERSON PRIMARY. Aorist. Present Future Perfect (Subjunctive) Aorist. Passive. Future SECONDARY. Passive. Imperfect Aorist Pluperfect (Optative) Croy Lesson 8 PERSON Who is acting NUMBER Endings: and S/P Greek Verbs Kind (and with Indic, Time) of action TENSE Imperfect Manner in which action is regarded by subject MOOD Indicative Infinitive Imperative

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

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

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

Croy Lessons GEN GEN. Αug Redp STEM Tense Theme Ending. *Masculine Nouns of First Declension

Croy Lessons GEN GEN. Αug Redp STEM Tense Theme Ending. *Masculine Nouns of First Declension Croy Lessons 18-20 Greek Verb Formation Αug Redp STEM Tense Theme Ending PRES ACT -- STEM -- o/ε PRES M/P/D -- STEM -- o/ε IMPF ACT ἐ STEM -- o/ε ΙΜPF M/P ἐ STEM -- o/ε FUT ACT -- STEM σ o/ε FUT M/D --

Διαβάστε περισσότερα

1 Definite Article. 2 Nouns. 2.1 st Declension

1 Definite Article. 2 Nouns. 2.1 st Declension 1 Definite Article m. f. n. s. n. ὁ ἡ το a. τον την το g. του της του d. τῳ τῃ τῳ pl. n. οἱ αἱ τα a. τους τας τα g. των των των d. τοις ταις τοις 2 Nouns 2.1 st Declension f. s. n. τιμ η χωρ α θαλασσ α

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

Παρελθόν. (Past) Formation. past imperfective. past perfective. active forms Α / Β Α Β

Παρελθόν. (Past) Formation. past imperfective. past perfective. active forms Α / Β Α Β 12 Παρελθόν (Past) In Greek there are three different sets of forms (both active and medio-passive), which refer to the past: the past perfective (αόριστος), the past imperfective (παρατατικός) and the

Διαβάστε περισσότερα

Section 1: Listening and responding. Presenter: Niki Farfara MGTAV VCE Seminar 7 August 2016

Section 1: Listening and responding. Presenter: Niki Farfara MGTAV VCE Seminar 7 August 2016 Section 1: Listening and responding Presenter: Niki Farfara MGTAV VCE Seminar 7 August 2016 Section 1: Listening and responding Section 1: Listening and Responding/ Aκουστική εξέταση Στο πρώτο μέρος της

Διαβάστε περισσότερα

Concrete Mathematics Exercises from 30 September 2016

Concrete Mathematics Exercises from 30 September 2016 Concrete Mathematics Exercises from 30 September 2016 Silvio Capobianco Exercise 1.7 Let H(n) = J(n + 1) J(n). Equation (1.8) tells us that H(2n) = 2, and H(2n+1) = J(2n+2) J(2n+1) = (2J(n+1) 1) (2J(n)+1)

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

21. δεινός: 23. ἀγορά: 24. πολίτης: 26. δοῦλος: 28. σῶμα: 31. Ἑλλας: 32. παῖς: 34. ὑπέρ: 35. νύξ: 39. μῶρος: 40. ἀνήρ:

21. δεινός: 23. ἀγορά: 24. πολίτης: 26. δοῦλος: 28. σῶμα: 31. Ἑλλας: 32. παῖς: 34. ὑπέρ: 35. νύξ: 39. μῶρος: 40. ἀνήρ: Vocabulary: Give one English meaning and nothing more. 1. ἔτος: 2. τότε: 3. θάνατος: 4. ἐλαύνω: 5. γυνή: 6. ὑπό: 7. λείπω: 8. περί: 9. πόλις: 10. ἄστυ: 11. νομίζω: 12. ἀπάγω: 13. τεῖχος: 14. ὀλίγος: 15.πίπτω:

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

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

Greek 12: Plato s Apology

Greek 12: Plato s Apology Greek 12: Plato s Apology Rick Griffiths FTGRIFFITHS@ / x 5355 Earth Science 306 Office Mon. 2-4, Wed. 1-2 or by appt. Texts: Reading Greek: Text and Vocabulary (TV) (JACT) Reading Greek: Grammar and Exercises

Διαβάστε περισσότερα

BECAUSE WE REALLY WANT TO KNOW WHAT YOU THINK ABOUT SCHOOL AND YOUR GARDEN. Fairly true If I decide to learn something hard, I can.

BECAUSE WE REALLY WANT TO KNOW WHAT YOU THINK ABOUT SCHOOL AND YOUR GARDEN. Fairly true If I decide to learn something hard, I can. BECAUSE WE REALLY WANT TO KNOW WHAT YOU THINK ABOUT SCHOOL AND YOUR GARDEN Name GRADE Science Teacher A. What do I think about School? bit I try hard to do well in school. I look forward to coming to school.

Διαβάστε περισσότερα

Croy Lessons Participles

Croy Lessons Participles A Croy Lessons 1820 Aorist Passive Perfect Ω How is studying functioning? I was studying Greek. >> PERIPHRASTIC (SUPPL.) Studying Greek, I sometimes want to scream. >> (ADV.) VERBAL ADJECTIVES The seminarian

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

Midterm test Study Guide. A) Nominative, Genitive and Accusative endings and use. Nominative WHO does the action

Midterm test Study Guide. A) Nominative, Genitive and Accusative endings and use. Nominative WHO does the action Midterm test Study Guide A) Nominative, Genitive and Accusative endings and use Nominative WHO does the action Ο όροφος Ο βασιλιάς Ο υπηρέτης Η δασκάλα Η λίμνη Το παιδί Το γράμμα Το δώρο Οι όροφοι Οι βασιλιάδες

Διαβάστε περισσότερα

Croy Lessons Second Declension. First Declension PARTICIPLES. THIRD Declension SINGULAR PLURAL SINGULAR PLURAL. NOM -α / -η [-ης]* -αι

Croy Lessons Second Declension. First Declension PARTICIPLES. THIRD Declension SINGULAR PLURAL SINGULAR PLURAL. NOM -α / -η [-ης]* -αι Croy Lessons 18-20 Greek Verb Formation Αug Redp STEM Tense Theme Ending PRES ACT -- STEM -- o/ε PrimAct PRES M/P/D -- STEM -- o/ε PrimMP IMPF ACT ἐ STEM -- o/ε SecAct ΙΜPF M/P ἐ STEM -- o/ε SecMP FUT

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

Section 9.2 Polar Equations and Graphs

Section 9.2 Polar Equations and Graphs 180 Section 9. Polar Equations and Graphs In this section, we will be graphing polar equations on a polar grid. In the first few examples, we will write the polar equation in rectangular form to help identify

Διαβάστε περισσότερα

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

Croy Lesson 23. Greek Verbs. Greek Verbs. Greek Verbs. TENSE => KIND of action. VOICE => relation of subject to action

Croy Lesson 23. Greek Verbs. Greek Verbs. Greek Verbs. TENSE => KIND of action. VOICE => relation of subject to action A Croy Lesson 23 TENSE => KIND of action CONTINUING (ongoing, linear) COMPLETED (with result or ongoing effect) SIMPLE (affirmation of action w/out regard to duration or completion) Ω and TIME of action

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

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

TMA4115 Matematikk 3

TMA4115 Matematikk 3 TMA4115 Matematikk 3 Andrew Stacey Norges Teknisk-Naturvitenskapelige Universitet Trondheim Spring 2010 Lecture 12: Mathematics Marvellous Matrices Andrew Stacey Norges Teknisk-Naturvitenskapelige Universitet

Διαβάστε περισσότερα

Guide to Principal Parts of Regular Verbs

Guide to Principal Parts of Regular Verbs Guide to Principal Parts of Regular Verbs 1. Preliminary Remarks. (a) (b) Irregular Patterns. For a great many verbs in ancient Greek it is necessary to memorize all available principal parts, as they

Διαβάστε περισσότερα

Aorist Participles. Verbal Adjectives. A lesson for the Paideia web-app Ian W. Scott, 2015

Aorist Participles. Verbal Adjectives. A lesson for the Paideia web-app Ian W. Scott, 2015 Aorist Participles Verbal Adjectives A lesson for the Paideia web-app Ian W. Scott, 2015 Getting Started with Participles Participles are the fourth verbal mood we have learned Indicative (ordinary verbs)

Διαβάστε περισσότερα

Herodian and the Greek language: rules of thumb for accenting Greek enclitics. Stephanie Roussou (a joint project with Philomen Probert)

Herodian and the Greek language: rules of thumb for accenting Greek enclitics. Stephanie Roussou (a joint project with Philomen Probert) Herodian and the Greek language: rules of thumb for accenting Greek enclitics Stephanie Roussou (a joint project with Philomen Probert) What are enclitics? Enclitics are small words forming close-knit

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

Solutions to the Schrodinger equation atomic orbitals. Ψ 1 s Ψ 2 s Ψ 2 px Ψ 2 py Ψ 2 pz

Solutions to the Schrodinger equation atomic orbitals. Ψ 1 s Ψ 2 s Ψ 2 px Ψ 2 py Ψ 2 pz Solutions to the Schrodinger equation atomic orbitals Ψ 1 s Ψ 2 s Ψ 2 px Ψ 2 py Ψ 2 pz ybridization Valence Bond Approach to bonding sp 3 (Ψ 2 s + Ψ 2 px + Ψ 2 py + Ψ 2 pz) sp 2 (Ψ 2 s + Ψ 2 px + Ψ 2 py)

Διαβάστε περισσότερα

Example of the Baum-Welch Algorithm

Example of the Baum-Welch Algorithm Example of the Baum-Welch Algorithm Larry Moss Q520, Spring 2008 1 Our corpus c We start with a very simple corpus. We take the set Y of unanalyzed words to be {ABBA, BAB}, and c to be given by c(abba)

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

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

Chapter 14-α Grammar Material, + End of CH13-β Review

Chapter 14-α Grammar Material, + End of CH13-β Review Chapter 14-α Grammar Material, + End of CH13-β Review 1. Quiz-Quote φείδεο τῶν νεῶν μηδὲ ναυμαχίην ποιεῦ οἱ γὰρ ἄνδρες τῶν σῶν ἀνδρῶν κρέσσονες τοσοῦτό εἰσι κατὰ θάλασσαν ὅσον ἄνδρες γυναικῶν. 2. COMPARISON

Διαβάστε περισσότερα

Code Breaker. TEACHER s NOTES

Code Breaker. TEACHER s NOTES TEACHER s NOTES Time: 50 minutes Learning Outcomes: To relate the genetic code to the assembly of proteins To summarize factors that lead to different types of mutations To distinguish among positive,

Διαβάστε περισσότερα

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

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

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

Διαβάστε περισσότερα

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