2. Sigla: the group including the primary manuscripts, B, C and D the group including the primary manuscripts, P, T and W

Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download "2. Sigla: the group including the primary manuscripts, B, C and D the group including the primary manuscripts, P, T and W"

Transcript

1 Abstract Methodologically applying Pasquali s proposal in textual criticism, recentiores, non deteriores, and by inspecting digital and microfilm reproductions, I newly collate some later, mainly 15 th to 16 th century, manuscripts of the Platonic First Alcibiades and, as a result, propose hypotheses on their textual interrelations in the transmission of the work. Key Words: textual criticism; the First Alcibiades; Plato; Parisinus gr. 1814; Neapolitanus gr. 337 (III E 15); Neapolitanus gr. 340 (III E 18); Angelicus gr. 107; Monacensis gr. 408; Palatinus gr. 175; Codex Bodmer 136; Conventi Soppressi 180; Vindobonensis suppl. gr. 55; Sitavianus MSS A2. 1. Introduction Whether or not the text of a work diverges so much the more from the original each time another copy is made from a copy is not a priori true but is true empirically, as Pasquali suggests. 1 Establishing this truth depends on the collation of the work s manuscripts. If scribes use a single exemplar and try to faithfully transcribe the text there, one more handwritten copying of a given copy in transmission will very likely add some more handwritten specific errors to the textual transmission, but whether all the scribes have done this is not known until what each has done is described by collation. Hence for the recension of the Platonic First Alcibiades its whole textual transmission must be described beforehand. Following this methodology, I have proposed hypotheses on some of the First Alcibiades later manuscripts, Florentines (Laurentiani Plut. 59.1, Plut. 85.6, Plut and Plut ), Venetians (Veneti gr. 590, 189 (S), 186 and 184 (Ξ)) and a Coislan (Coislianus 155), and on hypothetically supposed manuscripts which Ficino used in his translation and editors used in 16 th century printed editions of Plato s Works. 2 In addition to these hypotheses, I propose in what follows hypotheses on some more of the later manuscripts, Parisinus gr. 1814, saec

2 XVI, Neapolitanus gr. 337 (III E 15), saec. XIII, Neapolitanus gr. 340 (III E 18), saec. XV, Romanus, Angelicus gr. 107, saec. XIV, Monacensis gr. 408, anno 1490, Palatinus gr. 175, saec. XV, Codex Bodmer 136, saec. XIV XV, Fiorentinus, Conventi Soppressi 180, saec. XV, Vindobonensis suppl. gr. 55, saec. XV, and Sitavianus MSS A2, saec. XV. 2. Sigla: the group including the primary manuscripts, B, C and D β: the B group: BV C DΨ B: Bodleianus E.D. Clarke 39, 895 CE (B) V: Vaticanus gr. 225, saec. XIII C: Tubingensis gr. Mb 14, saec. XI D: Venetus gr. 185, saec. XII Ψ: Scorialensis Ψ i. 1, saec. XVI the group including the primary manuscripts, P, T and W P: Palatinus gr. 173, saec. X W: Vindobonensis suppl. phil. gr. 7, saec. XI L: Lobcowicz VI Fa 1, saec. XII XIII, descriptus ex W o: Vaticanus gr. 228, saec. XIV, descriptus ex L R: Vaticanus gr. 1029, saec. XIV, descriptus ex L T: Venetus App. Cl. IV, 1, saec. X Γ: Coislianus 155, saec. XIV, descriptus ex T d: Laurentianus Plut , saec. XIV, descriptus ex T Pa 08 : Parisinus gr. 1808,?saec. XIII Sc: Scorialensis Y. I. 13, saec. XIII Pa 11 : Parisinus gr. 1811, saec. XIV s: Vaticanus gr. 1030, n.d

3 Pa 12 : Parisinus gr. 1812, saec. XIV b: Laurentianus Plut. 85.6, saec. XIII Bdm: Bodmer 136, saec. XIV XV Ld: Etwall s text (Etwall 1771) for Bodleianus Laud. 16, saec. XV Pa 09 : Parisinus gr. 1809, saec. XV M: Caesenas Malatestianus 28.4, saec. XIII XV Y: Vindobonensis phil. gr. 21, saec. XIII XV (103a1 119e1 καταφρο : scriba primus; 119e1 νηθέντας 135e8: scriba secundus) a: Laurentianus Plut. 59.1, saec. XIV N: Neapolitanus gr. 340 (III E 18), saec. XV c: Laurentianus Plut. 85.9, saec. XV V 590 : Venetus gr. 590, saec. XIV S: Venetus gr. 189, saec. XIV V 186 : Venetus gr. 186, saec. XV Ξ: Venetus gr. 184, saec. XV τ: T Pa 08 Pa 09 M Sc Pa 11 s Pa 12 Ld Y a N c V 590 S V 186 Ξ P W L o R The later manuscripts I inspect for this article Pa 14 : Parisinus gr. 1814, saec. XVI (prima tria folia (103a1 107b7) continens), descendens ex Ang N 340 : Neapolitanus gr. 340 (III E 18), saec. XV, descendens ex a N 337 : Neapolitanus gr. 337 (III E 15), saec. XIII (post locum 116a6 altera manu, quam N nomino, in singulo columno exaratus) Mo: Monacensis gr. 408, anno 1490, gemellus cum Z Pal: Palatinu gr. 175, saec. XV, gemellus cum CS 180 Bdm: Codex Bodmer 136, saec. XIV XV, descendens ex Sc Ang: Romanus, Angelicus gr. 107, saec. XIV, descendens ex Pa 08 CS 180 : Fiorentinus, Conventi Soppressi 180, saec. XV, descendens ex Y W 55 : Vindobonensis suppl. gr. 55, saec. XV, descendens ex Y Z: Sitavianus MSS A2, saec. XV, descendens ex Y

4 2. 4. Some other sigla X ac : lectio ante correctionem X pc : lectio post correctionem s.l. vel sl: supra lineam i.m.: in margine i.t.: in textu i.r.: in rasura om.: omisit vel omiserunt add.: addidit vel addiderunt scrips.: scripsit vel scripserunt supp.: supplevit vel suppleverunt ] : post hoc signum lectionem falsam cum eius codicibus significo codd.: cuncti codices quos inspexi cet.codd.: ceteri codices quos inspexi 3. Hyptheses on the Textual Interrelations Codex Parisinus gr and its relative texts Hypothesis 1 1: Ang descends from Pa 08, not T. At 110c8, Ang agrees with T and Pa 08 against all the others or the Y subgroup and has a better reading with T and Pa 08 against the Y subgroup there (for this subgroup see 3.9). 110c8: οὖν β Τ Γ Pa 08 Ang Pa 09 Μ Sc cet.codd.: γοῦν Y Z Mo CS 180 Pal a N 340 c V 590 S V 186 Ξ This conjunction is corroborated by the following two variants in breathing. 105a4 ἢ cet.codd.: ἦ V T Pa 08 Ang Pa 14 Sc 106a3 ἢ cet.codd.: ἦ T Pa 08 Ang However, Pa 08 and Ang agree in omission against T at 109c1. δεινὸν τοῦτό γε... τις... πράττοντας πολεμεῖν scrips. T Γ d W 55 M pc (s.l. altera manu πολεμεῖν) s Ld Ξ δεινὸν τοῦτό γε... τι... πράττοντας πολεμεῖν Bdm πολεμεῖν Pa 12ac (δεινὸν τοῦτό γε... πράττοντας om. Pa 12ac et i.m. post πολεμεῖν altera manu δεινὸν τοῦτό γε... τι...πολεμεῖν supplev. Pa 12pc δεινὸν τοῦτό γε... τις... πράττοντας (om. πολεμεῖν) Pa 08 Ang Pa 09 M ac Sc b N 337 Pa 11 δεινὸν τοῦτό γε... πράττοντας in exemplo, in quo πολεμεῖν forte omittitur, causa τὰ δίκαια πράττοντας homoeoteleuti om. Y Z Mo CS 180 Pal a ac N 340 V 590 S V 186ac

5 δεινὸν τοῦτο...πολεμεῖν supplev. i.m. altera manu a pc et altro atramento V 186pc (exemplo aliquo praeter Pa 08 Pa 09 M ac W mg (δεινόν γε τοῦτο)) δεινὸν το ὁμολογήσειεν c ac (extra lineam (το )ῦτό γε... πράττοντας οὐκ ἂν om. c ac et altera manu altro atramento supplev. c pc ) Moreover, at 111a8 Pa 08 and Ang in the reading before and after their scribes correction agree in error against T. αὐτὰ β T Γ W 55ac Sc N 337 Pa 11 s Pa 12 Ld Bdm V 186pc (altera manu α in ους inposuit) Ξ: αὐτὸ P W L o R W 55pc (altera manu ο fecit) Pa 08ac Ang ac Y ac αὐτοὺς Pa 08pc (in textu eadem manu υς) Ang pc (ligatura ου pro ο refecto σ add.) Pa 09 M Y pc (s.l. eadem manu υς) Z Mo CS 180 Pal a N 340 c b V 590 S V 186ac περὶ αὐτὰ secl. Ficinus (quod bonos decet praeceptores habere) This separation is corroborated by the variants at 106c9 and in the scholium ad 106a c9 ἢ cet.codd. Ang pc (spiritu atque accentu refecto) Pa 14 : ἦ Pa 08 Ang ac (ut videtur) scholion ad 106a2 ἀτοπώτερος: παραδοξότερος θαυμασιώτερος T(παραcompendio in forma ut πε viso)( ) Pa 09 Μ W: θαυμασιώτερος παραδοξότερος Sc Pa 11 s: περιδοξότερος θαυμασιώτερος Pa 08 (περι compendio, ε supra π scripto, falso ex παρα compendio in T) Ang περιδοξότερος (περι compendio, ε supra π scripto) V 186 i.m. (altera manu): om. B LoR Pa 14 W 55 Y Z Mo CS 180 Pal a N 340 c V 590 S V 186 Ξ b N 337 Pa 12 Bdm Hypothesis 1 2: Neither Ang nor Pa 14 descends directly from any of the Y subgroup. The Y subgroup agree in error and elision against Ang and Pa b5 δ β T Pa 08 Γd W 55 Ang Pa 14 Pa 09 M Sc Pa 11 s b N 337 Pa 12 P W L o R Bdm: δὲ Y Z Mo CS 180 Pal a N 340 c V 590 S V 186 Ξ 105c2 δοκεῖς cet.codd.: δοκῆς C Y Z Mo CS 180 Pal a c V 590 S W 55 W L o R δοκοῖς N 337 Hypothesis 1 3: Ang and Pa 14 descend from Pa 08 and not with the ordering reversed. Ang and Pa 14 agree in omission and error against all or most of the other manuscripts. 104d1 τοι cet. codd. venerat enim in animum mihi, vertit Ficinus: τι Ang Pa 14 ; τοι om. V 186ac et nigriore atramento altera manu supplev. V 186pc 105c3 ἐμπλήσεις] ἐμπλήσης Ang Pa c9 ἀποκρίναιο cet.codd. quid responderes ad haec, vertit Ficinus] ἀποκρίναι Ang Pa 14 Ang does not descend direcltly from Pa 09 or Y

6 130d6: ἡμῶν αὐτῶν M pc (altera manu s.l. αὐτῶν) V 186pc (altera manu s.l. αὐτῶν) Ξ pc (altera manu s.l. αὐτῶν) a N 340 c CS 180 Pal cet.codd.: αὐτῶν ἡμῶν P αὐτῶν om. Pa 09 M ac Y Z Mo V 590 S V 186ac Ξ ac ; Hypothesis 1 4: None of Pa 08, Pa 09, Y and M descends direcltly from Ang. scholium ad 103a4 προσηγόρευσα Pa 08 Pa 09 Y M: om. Ang Hypothesis 1 5: Ang does not descend directly from Pa 14. Pa 14 has an omission or error against Ang. numerus operis: ΙΓ(=13) Ang om. Pa 14 scholia: Ang om. Pa c5 ἥντιν ἔχων ἐλπίδα T Γd P 08 Ang pc (altera manu ν s.l.) Pa 09 Y Z Mo CS 180 Pal a pc (altera manu ν i.t.) N 340 V 590 S M V 186 Ξ W 55 Pa 11 s pc (s.l. ν ead. manu) b pc (altera manu ν i.t.)pa 12 Ld Bdm P W L o R: ἥντινα ἔχων ἐλπίδα β: ἥντιν ἔχω ἐλπίδα Ang ac Pa 14 a ac c Sc s ac b ac N 337 quamve spem de te conceperim, qui caeteris fugientibus ego omnium solus perstiti,vertit Ficinus 103b4 ἔσχες] ἔχ Pa 14 ες supra ἔχ scripsit Pa d5 δύναμιν ἔχειν homoeoarcti causa iteravit Pa 14ac et punctis notavit Pa 14pc Codex Scorialensis Y. I. 13 and its relative texts Hypothesis 2 1: Sc, b, N 337, s, Pa 11, Pa 12, Ld and Bdm form a subgroup descendant from T, not Pa 08. Sc, b, N 337, s, Pa 11, Pa 12, Ld and Bdm agree in one word omission against the other manuscripts. 106e5 δὴ cet.codd. : om. Sc Pa 11 s b N 337 Pa 12 Bdm Ld This group agree in addition or omission against the other manuscripts, although sometimes with the exception of some members: in one word addition, except Ld, at 107b1, in multi word omission, except b and N 337, at 122e5, in one word omission, except b and N 337, at 118c5, 119d1, and 123d5, in one word omission, except Pa 11pc, b pc, Bdm and Ld, at 115b3, and in multi word omission, except b, N 337, Bdm and Ld, at 126a7 (see below). 107b1 ναί cet.codd. b pc (nigro atramento ναί alterum delevit): ναί; ναί. Sc Pa 11 s b ac N 337 Pa 12 Bdm Ld 115b3 ἀπῆλθον b pc Pa 11pc Bdm Ld cet.codd.: om. Sc s b ac N 337 Pa 11ac Pa

7 118c5 νῦν ἔτι τηλικοῦτος b N 337 cet.codd.: νῦν τηλικοῦτος Sc s Pa 11 Pa 12 Bdm Ld 119d1 γε scrips. Pa 08 b N 337 cet.codd.: om. Sc Pa 11 s Pa 12 Bdm Ld 122e5 ἐκ τῶν b N 337 cet.codd.: om. Sc Pa 11 s Pa 12 Bdm Ld 123d5 νῦν ἐπιχειρεῖ b N 337 cet.codd.: lacuna Sc om. Pa 11 s Pa 12 Bdm Ld 126a7 διοικεῖται σῶμα καὶ σώιζεται / σώζεται β Pa 11pc Bdm Ld ἄμεινον διοικεῖται σώματα Pa 12pc διοικεῖσθαι σώματα καὶ σώιζεσθαι / σώζεσθαι cet.codd. Z Mo b N ὥσπερ ἂν εἰ (126a6)... ἀπογιγνομένου (a8) causa homoeoteleuti om. Sc s Pa 11ac Pa 12ac CS 180 Pal et altero atramento supp. i.m. Pa 11pc ; ὥσπερ ἂν εἰ παραγιγνομένου ἢ ἀπογιγνομένου ἄμεινον διοικεῖται σώματα eadem manu falso supp. Pa 12pc This group, although sometimes with the exception of some member, agree in error against the other manuscripts. 105c2 μοι δοκεῖς/δοκῆς] δοκεῖς μοι Sc Pa 11 b N 337 s Pa 12 Ld Bdm 105c6 ἔχεις ταύτην τὴν ἐλπίδα cet. codd. et Ang Pa 14 Z N 340 CS 180 Pal W 55 Mo: ταύτην τὴν ἐλπίδα ἔχεις Sc Pa 11 s b N 337 Pa 12 Ld Bdm 105e3 οὔτε cet.codd.: οὔτ Γ d Sc Pa 11 s b N 337 Pa 12 Ld Bdm 106d7 μήτε...μήτε/μήτ s pc (duabus litteris erasis) b pc (nigro atramento πο erasit) Bdm cet.codd.: μήποτε... μήποτε... Sc Pa 11 s ac (ut videtur) b ac N 337 Pa a9 πολύ γε cet.codd.: πολλή γε Sc Pa 11 s Pa 12 Ld πολλύ γε Bdm Hypothesis 2 2: This group, called the Sc subgroup below, descends from T, not Pa 08, Pa 09, Y or M. Hypothesis 2 2 1: None of Pa 08, Pa 09, Y and M descends from Sc. For the evidence see the variants at the scholium ad 103a4 in 3.1., Hypothesis 1 4. Hypothesis 2 2 2: Neither the Sc nor the Y subgroup descends directly from Pa b8 εὐρώπηι/εὐρώπῃ/εὐρώπη] ἐρώπη Pa e7 ὡς ἐμοὶ δοκεῖ BV D Ψ TΓ Pa 08 Ang Pa 14 Y Z a N 340 c V 590 S M V 186pc (ν eraso) Ξ W 55 CS 180 Pal Mo Sc Pa 11 s b N 337 Pa 12 Ld Bdm d P W L ὡς ἐμοὶ δοκεῖν C Pa 09 V 186ac post θεὸς transposuerunt o R Hypothesis 2 2 3: None of the Sc subgroup descends direcltly from Y or Pa b2 post κιθαρίζειν, causa homoeoteleuti, πρὸς τὴν ᾠδὴν κιθαρίζειν iteraverunt Pa 09 Y a N 340 c V 590 CS 180 ; non iteraverunt Z Mo Pal

8 Hypothesis 2 2 4: The Sc subgroup agree with T in a better reading against Pa 08, Pa 09, M or Y (for the evidence see the variants at 111a8 in 3.1., Hypothesis 1 1). Hypothesis 2 2 5: The Sc subgroup do not descend from any member of the Y subgroup. 105b6 ἐν pr. scrips. cet.codd. V 186pc Ξ pc W 55 : om. Y Z Mo CS 180 Pal a N 340 c V 590 S V 186ac Ξ ac N 337 o R et s.l. supp. V 186pc et altro atramento Ξ pc 105d1 διὸ β T Γ Pa 08 Ang ac Pa 09 M W 55 Sc b N 337 Pa 11 s Pa 12 Bdm P WLoR d: δι ὃν Pa 08mg (eadem manu γρ δι ὃν) Ang pc (altera manu s.l. ὃν) Pa 14 Pa 09mg (eadem manu, ut videtur, γρ δι ὃν) Y Z Mo CS 180 Pal a N 340 c V 590 S V 186 Ξ M mg (γρ.) b 2 (s.l. ν) Ld 106a3 γε scrips. cet.codd. W 55 maxime, vertit Ficinus: om. Y Z Mo CS 180 Pal a N 340 c V 590 S V 186 Ξ 107b9 10 Εἰδότος γὰρ οἶμαι... πλουτοῦντος. Πῶς γὰρ οὔ; scrips. V 186pc cet.codd.; causa homoeoteleuti πῶς γὰρ οὔ om. Bdm Y Z Mo a N 340 c V 590 S V 186ac CS 180 Pal. 109a6 εἰρήνην τε ἄγειν V 186pc (s.l. altro atramento τε) Ξ pc (s.l. altro atramento τε) cet.codd.: εἰρήνην ἄγειν Y Z Mo CS 180 Pal a N 340 c V 590 S V 186ac Ξ ac 114d4 νῦν cet.codd.: τοίνυν δὴ νῦν Y Z Mo CS 180 Pal a N 340 c V 590 S V 186 Ξ See also the variants at 110c8 in 3.1., Hypothesis 1 1 and at 105b5 and 105c2 in 3.1., Hypothesis 1 2. Hypothesis 2 2 6: Sc is relatively more ascendant among the Sc subgroup. 123d6 γεγονὼς Sc ac b N 337 Bdm Ld cet.codd. γεγονώς ἐστι Sc pc (altera manu s.l. ἐστι) s Pa 11 (sicut ἔτι) γεγονὼς ἔτι Pa 12 V 590mg (γεγονὼς ἐτὴ) 127a14 πράττουσιν (127a14)... τὰ αὐτῶν: (127b3) causa τὰ αὑτῶν homeoteleuti iterav. Sc ac Pa 11ac, Pa 12ac et οὐδ ἄρα... οὐκ ἔοικεν delev. Pa 11pc φιλοῦνται... οὔ delev. Sc pc lineis inferioribus notav. Pa 12pc See also the variants in the scholion ad 106a2 in 3.1., Hypothesis 1 1 and at 123d5 in 3.2., Hypothesis Codici Laurentianus Plut and Neapolitanus gr. 337 (III E 15) Hypothesis 3 1: b and N 337 in part descend from some manuscripts other than the other members of the Sc subgroup. numerus operis: ΙΓ(=13) Sc mg b mg N 337 om. Pa 11 s Pa 12 titulus: ἀλκιβιάδης α Sc b N 337 : ἀλκιβιάδης πρῶτος Pa 11 s Pa 12 Ld 127b10 καὶ scrips. Pa 11pc (s.l. καί) b N 337 Bdm Ld cet.codd.: om. Sc s Pa 11ac Pa

9 130a9 ἢ συναμφότερον/ξυναμφότερον τὸ ὅλον τοῦτο b N cet.codd.: ἢ καὶ ξυναμφότερον τὸ ὅλον τοῦτο Sc Pa 11 s Pa 12 Ld Bdm See also the variants at 118a9, 119d1, 122e5 and 126a7 in 3.2, Hypothesis 2 1. Hypothesis 3 2: Among the Sc subgroup, no other member descends directly from b or N b5 ὑπὸ] ἀπὸ b N a1 ὧι/ᾧ/ὧ cet.codd. ὦ Mo Pal om. b N b6 ἐν om. b N b8 προσθήσω] προθήσω b N d1 με] μ b N e6 εἰ μὲν b 2 N 337pc (altero atramento ι add.) cet.codd.: ε*μεν b N 337ac 104e7 σε b 2 (altero atramento σ fecit) cet.codd.: τε b 1 N e7 νυνδὴ B T W: νῦν δὴ V C DΨ Γ Pa 08 Ang Pa 14 Pa 09 Y Z Mo CS 180 Pal a N 340 c V 590 S V 186 Ξ W 55 Sc Pa 11 s Pa 12 Bdm Ld: νῦν M b N 337 P L o R d 105b7 εἴποι cet.codd. Serrano, si idem tibi diceret deus, vertente : εἴπη Pa 09 M Y Z Mo CS 180 Pal a N 340 c V 590 S V 186 Ξ b N 337 P R concesserit, vertit Ficinus 105b8 δυναστεύει scripsit b N 337 et ν s.l. add. b 2 105e4 οὔτ ] οὔτε N 337 b Hypothesis 3 3: No other member of the Sc subgroup descends from N a1 οἶμαί] εἶναί N a6 πεύσηι/πεύσῃ/πεύση cet.codd.: πεύσει B D ac T P πτεύσει V πνεύσῃ N b2 ἐναντιώσεσθαι cet.codd.: ἐναντιώσασθαι D ἐναντιώμεθα N b3 κατανένοηκα] κατενενόηκα N b5 ξανθίππου] ξανθίπου N c4 ταυτοῦ scripsit b et ταῦτ οὐ rescripsit b 2 τ αὐτοῦ N d1 ἐν νῷ/νῶ cet.codd. Pal pc (s.l. ν): ἐν ῷ N 337 ἐνῶ Pal ac 104d2 αὐτὰ ταῦτ β N 340 : ταὐτὰ ταῦτ cet.codd. haec eadem, vertit Ficinus ταῦ τοὺς ταῦτ N a1 δ ἕτερ αὖ β: δὲ ἕτερα αὖ cet.codd. δὲ ἕτερα οὖν N a2 αὐτὸν ** scripsit b et αὐτὸν σέ scripsit b 2 αὐτὸν δὲ N b5 ἐν τοῖς ἄλλοις Ἕλλησι] ἕλλησι om. Sc Pa 11ac b s Ld et s.l. supplev. altera manu Pa 11pc ἕλλησι τοῖς ἄλλοις N c2 αὖ om. N d2 δεινομάχης T Pa 08 Pa 09 M Ang Pa 14 Y Z Mo a c N 340 V 590 Sc Pa 11 b s Pa 12 Bdm W

10 L o R: δεινομάχου N 337 δεινομένης BV C(δεινομάχης C mg ) Γ d P T sl Pa 08sl Pa 09sl Y sl a sl c sl V 590sl M sl L sl Sc sl W sl o sl R sl V 186pc (altera manu in margine ἢ δεινομένης) dinomachis, vertit Ficinus δεινομενάχης S V 186ac Ξ; δεινομένχης CS 180 Pal δεινονμάχης scrips. W 55ac et punctis μ notato δεινομάχης fecit W 55pc 105d6 ἐάσει ] ἐάσῃ N 337 ἐάση P (verbum voce activa falso ut atticismum refecerunt) Γ d See also the variants at 105c2 in 3.1., Hypothesis 1 2 and at 105b6 in 3.2., Hypothesis Hypothesis 3 4: No other member of the Sc subgroup descends direcltly from b. 103a2 μόνος b pc (altera manu) cet.codd.: μόνως b ac (ut videtur) 104c7 γε scrips. N 337 cet.codd.: om. b 104d1 πρότερος] πρότερον DΨ b Pa d5 *ε scripsit b et μ inposuit b 2 See also the variants at 111a8 in 3.1., Hypothesis Codex Vaticanus gr (s) Hypothesis 4 1: s in part with Ld descends from some manuscripts other than the other members of the Sc subgroup. For the evidence see 3.1., Hypothesis 1 1. Hypothesis 4 2: No other member of the Sc subgroup descends direcltly from s. 104b5 ἐπίτροπον κατέλιπε] κατέλιπεν ἐπίτροπον s 106a1 νῦν δ ἐφῆκεν om. s Codex Parisinus gr Hypothesis 5 1: None of the Sc subgroup descends direcltly from Pa b3 ὡς] εἰ Pa b5 σοί] σόν Pa b6 ὅτι om. Pa 12 ἅ Pa 12 mg (γρ. ἅ) 104c5 ποτε] τοτε Pa d4 σὸν] σου Pa e8 πάλαι] πάλιν Pa 12ac (πάλαι Pa 12pc i.m. ) 105a2 γνώσηι/γνώσῃ/γνώση cet.codd.: γνώσει BV DΨ T Pa 12 d 105a4 νῦν om. Pa b6 τοῖς om. Pa 12 o R

11 105c3 ὀνόματος ] ὀνόματι Pa c7 οὖν scrips. cet. codd. et Ficinus, qui vertit, forte etiam et tu confiteberis: om. Pa 12 V 186ac et supp. altera manu s.l. V 186pc 105d4 ἐγὼ δύναμιν οἶμαι β: ἐγὼ οἶμαι δύναμιν cet.codd. οἶδα ἐγὼ δύναμιν Pa e1 παντὸς] πάντα Pa e6 οὖν om. Pa b5 εὖ post οἰκοῦνται add. Pa 12pc (altera manu s.l.) 127b8 Πῶς λέγεις, φιλίας μὴ παρούσης, ἧς ἔφαμεν ἐγγιγνομένης parvis litteris rescripsit Pa 12pc 127b9 εὖ οἰκεῖσθαι τὰς πόλεις, ἄλλως δ οὔ om. Pa 12ac et i.m. altera manu, in 127b8 reficiente, supp. Pa 12pc See also the variants at 104d1 in 3.3., Hypothesis 3 4. Hypothesis 5 2: Some errors in Pa 12 come from Pa 11, not from the other members of the Sc subgroup (for the evidence, see the variants at 123d6 in 3.2., Hypothesis 2 2 6) Etwall s text (Etwall 1771) for Bodleianus Laud. 16, saec. XV Hypothesis 6 1: No other member of the Sc subgroup descends direcltly from Ld. 105a3 δοκεῖς] δοκεῖ Ld 121e6 οἱ ἄρσιτοι δόξαντες] δόξαντες οἱ ἄριστοι Ld Hypothesis 6 2: Ld in part descends from some manuscript other than the other members of the Sc subgroup (for the evidence see the variants at 115b3 in 3.2., Hypothesis 2 1; 123d6 in 3.2., Hypothesis 2 2 6; 127b10 in 3.3., Hypothesis 3 1) Codex Bodmer 136 Hypothesis 7 1: Bdm in part does not descend directly from the other members of the Sc subgroup (for the evidence see the variants at 109c1 in 3.1., Hypothesis 1 1 and at 106d7 in 3.2., Hypothesis 2 1). Hypothesis 7 2: Among the Sc subgroup, no other member descends directly from Bdm. 104a1 ὑπερπεφρόνηκας B C DΨ T Γ d Pa 08 V 186pc (altera manu s.l. πε) Ξ W 55 Sc pc (s.l. πε) Pa 11 s Pa 12 Ld P W L o R: ὑπερφρόνηκας cet.codd. V Sc ac b N 337 Bdm 104c4 οὐ λέληθεν] οὐκ ἐνλέληθεν Bdm pc (altera manu νλε s.l. add.) οὐκ εληθεν Bdm ac

12 104c5 τοῦ iteravit Bdm ac et delevit Bdm pc 105b8 ἐν om. Bdm 105c1 ἐξέσται] ἐξέσθαι Bdm See also the variants at 107b9 10 in 3.2., Hypothesis Hypothesis 7 3: Bdm in part does not descend directly from the Sc subgroup. Bdm comes from β or Pa 11pc. 116d9 δ εἶναι BV CD ac Pa 11pc (altera manu s.l. εἶναι) δὲ εἶναι Bdm: δὲ εἰδέναι D pc (altera manu s.l. δε) Pa 11ac cet.codd. δ εἰδέναι Ψ 119e1 ἀξιοῦν ἀνταγωνίζεσθαι β Γ(ut videtur) Pa 11pc (altro atramento ἀξιοῦν supra συν) συνανταγωνίζεσθαι W pc (altera manu s.l. αντ) cet.codd. W 55 συναγωνίζεσθαι W ac LoR συνταγωνίζεσθαι Pa 12ac ἀνταγωνίζεσθαι Pa 12pc (ἀν s.l.) ἀξιοῦν συνανταγωνίζεσθαι Bdm 124d7 ἀπορρητέον W pc (altera manu s.l. ρ) V 186pc (ρ s.l.) Ξ Pal: ἀπορητέον V 186ac Pa 11ac W ac cet.codd. ἀποκνητέον BCD (partim metathesis inter ρ et ν in typo minusculo) Pa 11pc (κν s.l.) Bdm P 127c1 μὴ β Pa 11pc (μὴ s.l.) Bdm: om. b N 337 Ld cet.codd. 132d7: βλέπειν Stob. β WLoR Γ pc (nigriore atramento ν s.l.) W 55 b pc (altera manu s.l. ν) N 337 s pc (altera manu s.l. ν) Pa 11pc (altera manu s.l. ν) Pa 12 Bdm Ld c V 186 Ξ: βλέπει T Γ ac Pa 08 Ang Pa 09 M Y Z Mo CS 180 Pal a N 340 V 590 S Sc b ac s ac Pa 11ac P See also the variants at 115b3 and 126a7 in 3.2., Hypothesis Some other hypotheses on the subgroup including codex Scorialensis Y. I. 13 Hypothesis 8 1: Among the Sc subgroup, none of s, b, N 337, Ld, and Bdm descends directly from Sc, Pa 11 or Pa a6 δοκεῖς] δοκῆς Sc Pa 11 Pa 12 Hypothesis 8 2: Among the Sc subgroup, neither Pa 11 or Pa 12 descends directly from Sc or N 337 (for the evidence see the variants at 104c5 in 3.1., Hypothesis 1 5). Hypothesis 8 3: Among the Sc subgroup, none of Pa 11, s, Ld and Bdm descends directly from Sc, b, N 337, or Pa

13 105a3 εἴποι β T Γd W 55 Pa 11 s Ld Bdm P W L: εἴπηι Pa 08 o εἴπῃ N 337 εἴπη cet.codd. Sc b Pa 12 R si quis deus dixerit, vertit Ficinus (vide 105b1, Ficino, ascenderis, vertente) 105a7 φράσω β d pc (eadem manu s.l. σω) V 186pc (sigmate C typo in zeta altera manu inposito) Ξ W 55 Pa 11 s Bdm Ld P W L o R aperiam, vertit Ficinus: φράζω cet.codd. d ac V 186ac Sc b N 337 Pa 12 Hypothesis 8 4: Among the Sc subgroup, none of Pa 11, s, Pa 12 and Ld descends directly from b or N 337 (for the evidence see the variants at 104a1 in 3.7., Hypothesis 7 2). Hypothesis 8 5: Pa 11pc and, in part, both Pa 12 and Bdm descend from some other member of the Sc subgroup (for the evidence see the variants at 105b5 in 3.3., Hypothesis 3 3). Hypothesis 8 6: Among the Sc subgroup, none of Sc, Pa 11 and s descends directly from b, N 337, Pa 12 or Bdm (for the evidence see the variants in the scholion ad 106a2 in 3.1., Hypothesis 1 1) Codex Vindobonenis phil. gr. 21 (Y) and its relative texts Hypotheses 9 1: Y, Z, Mo, CS 180, Pal, a, N 340, c, V 590, S, V 186, and Ξ form a subgroup. Y, Z, Mo, CS 180, Pal, a, N 340, c, V 590, S, V 186, and Ξ, although except some of them, agree in omsission or error against the other manuscripts. 112d3 οὐ φαίνεται... εἰδέναι (112d5) scrips. a pc (eadem manu) c pc (altera manu) V 186pc (altera manu) cet.codd.: om. Y Z Mo CS 180 Pal a ac N 340 c ac V 590 S V 186ac See also the variants at 107b9 10 and 109a6 in 3.2., Hypothesis 2 2 5; 110c8 in 3.1., Hypothesis 1 1; 114d4 in 3.2., Hypothesis Hypothesis 9 2: Y descends direcltly from Pa 08 or Pa 09. Pa 08, Y and Pa 09 agree in error. 124c8 ὅσπερ σοι T W 55 a pc (s.l. οι) N 340 c CS 180pc (υ ut videtur eraso οι fecit) Pal V 590mg S pc (eadem manu ο facto ι i.t. addidit) V 186 N cet.codd.: ὅσπερ συ Pa 08 Ang Pa 09 Y Z a ac V 590 S ac CS 180ac Mo pc (altero manu i.m. ὅσπερ συ) ὅς περὶ σύ Mo ac See also the variants at 108b2 in 3.2., Hypothesis Y ac and Pa 08ac agree in a relatively ascendant reading against Pa 09 and M whereas Y pc and

14 the other members with Pa 09 and M agree with Pa 08pc in its derivative errant reading (for the evidence see the variants at 111a8 in 3.1., Hypothesis 1 1). Hypothesis 9 3: Among the Y subgroup, a, c, V 590, S and V 186ac descend from the Y before correction is made whereas Z, Mo, N 340, CS 180, and Pal, from the Y after correction is made. The former agree in error against the latter. 112c2 τανάγραι B T W: τανάγρᾳ Ld. τανάγρα C D Γ W 55 M pc (nigro atramento altera manu τ fecit) Ang pc (atro atramento sub linea aequa lineam rectam unam fecit) Y pc (dextra linearum rectarum sub typo π erasa) Z N 340 CS 180 Pal Mo Sc Pa 11 b ac N 337 s Pa 12 Bdm V 186pc (altera manu τ fecit) Ξ pc (sinistra linearum rectarum sub typo littera π erasa) P L o R Ficinus (Tanagra) πανάγραι Pa 08 πανάγρα M ac Y ac a c V 590 S V 186ac Ξ ac b pc (π fecit) πόναγρα Pa 09 ; Hypothesis 9 4: Among the Y subgroup, Y does not descend directly from Z, Mo, CS 180, Pal, N 340, c, V 590, S, W 55, or Mo. numerus operis: ΙΓ Ξ: ιε (=15) Y mg a V 186mg om. Z Mo N 340 c V 590 S CS 180 Pal W 55 Hypothesis 9 5: Among the Y subgroup, none of Y, a, and c descends directly from Z, W 55, CS 180, Pal, or Mo scholia: Y(eadem manu) a(eadem manu) c(eadem manu): om. Z W 55 CS 180 Pal Mo Hypothesis 9 6: Among the Y subgroup, Y does not descend from a, N, c ac, CS 180 or Pal. 107e1 καὶ τόθ ὁπότε βέλτιον;... ναί (107e1 4) scrips. Y Z Mo c pc (altera manu) Pa 12pc (altera manu) cet.codd.: causa ναί homoeoteleuti om. Pa 12ac Ld a N c ac CS 180 Pal Hypothesis 9 7: Among the Y subgroup, none of the Venetian manuscripts V 590, S, V 186 and Ξ descends directly from Z, W 55, CS 180, Pal, or Mo scholia: V 590 (eadem manu) S(eadem manu) V 186 (partim eadem manu) Ξ(eadem manu): om. Z W 55 CS 180 Pal Mo

15 Codex Laurentianus Plut (a) Hypothesis 10 1: a in part does not descend directly from Y; and N 340 and c in part descends directly from a (for the evidence see the variants at 130d6 in 3.1., Hypothesis 1 3). Hypothesis 10 2: No other member of the Y subgroup descends directly from a except when the scribe emnds its error. 104d1 σοι] σὺ a Hypothesis 10 3: a and CS 180 have a common ancestor derived from Y (for the evidence see the variants at 107e1 in 3.9., Hypothesis 9 6) Codex Laurentianus Plut (c) c has a better reading against the other manuscripts. 134e8 ἂν c: om. cet.codd. Hypothesis 11 1: No other member of the Y subgroup descends directly from c. 105a2 σὰ scrips. cet. codd.: om. c See also the variants at 104c5 in 3.1., Hypothesis 1 5. Hypothesis 11 2: N 340 and c in part descends directly from a, not Y. a pc, N 340, and c have a common better reading against Y and a ac (see the variants at 124c8 in 3.9., Hypothesis 9 2; cf. the variants at 132d7 in 3.7., Hypothesis 7 3) Codex Neapolitanus gr. 340 (III E 18) (N 340 ) Hypothesis 12 1: None of the Y subgroup descends directly from N a3 ἀπο τοῦ σώματος ἀρξάμενα] ἀρξάμενα ἀπὸ τοῦ σώματος N Codices Sitavianus MSS A2 and Monacensis gr. 408 Hypothesis 13 1: No other member of the Y subgroup descends directly from Z 104a1 δὲ] δὲ δὴ Z 104a1 ἐθέλω] ἐθέλωσι Z Hypothesis 13 2: No other member of the Y subgroup descends directly from Mo. 103a1 ὦ om. d Mo 104d7 ὡς om. Mo

16 Hypothesis 13 3: Mo descends directly from Y or Z or a hypothesized ancestor common to Z and Mo other than Y. Z and Mo agree in a one word omission against the others. 105c4 σῆς om. Z Mo Mo s wrong reading comes from Y or Z (see the variants at 124c8 in 3.9., Hypothesis 9 2). Y, Z and Mo have a common better reading against a, N, c ac, CS 180 and Pal (see the variants at 107e1 in 3.9., Hypothesis 9 6). Z, M or their common ancestor corrects Y s multi word dittography (see the variants at 108b2 in 3.2., Hypothesis 2 2 3). Y and Z agree in movable nu. 105c2 πρᾶγμασιν ] πρᾶγμασι Y Z Y, Z and Mo agree in omission against a, N 340, c, CS 180 and Pal (see the variants at 130d6 in 3.1., Hypothesis 1 3) Codices Conventi Soppressi 180 and Palatinus gr. 175 Hypothesis 14 1: a hypothetical common ancestor of CS 180 and Pal descends from Y but in part descends from some manuscripts other than the other members of the Y subgroup. CS 180 and Pal agree in a multi word omission by homoeoteleuton against the other members of the Y subgroup (see the variants at 126a7 in 3.2., Hypothesis 2 1). CS 180 and Pal agree in a one word omission against the other manuscripts. 133d12: τὰ τῶν ἑαυτῶν cet.codd.: τὰ ἑαυτῶν CS 180 Pal CS 180 and Pal agree in error against the others. 105c1 οὐδὲ] οὐδ Γ d CS 180 Pal See also the variants at 105d2 in 3.3., Hypothesis 3 3. Hypothesis 14 2: a and CS 180 have a common ancestor derived from Y (for the evidence see the variants at 107e1 in 3.9., Hypothesis 9 6). Hypothesis 14 3: CS 180 in part does not descend directly from Y; CS 180 and Pal have a common better reading against Y. 105c2 οὐδ B C DΨ Γ d CS 180 Pal: οὐδὲ cet.codd. See also the variants at 130d6 in 3.1., Hypothesis 1 3. Hypothesis 14 4: No other member of the Y subgroup descends directly from CS e9: γε Γ pc cet.codd.: om. β W L o R τε Γ ac CS

17 132a1: διαφθαρῆις/ διαφθαρῇς/ διαφθαρῆς cet.codd.: διαφθαρὴν CS 180 Hypothesis 14 5: No other member of the Y subgroup descends directly from Pal. 103a1 σε] γε Pal 104d2 ἐλπίδα βλέπων cet.codd. Pal pc (α supra ἐλπίδα et β supra βλέπων scrips.): βλέπων ἐλπίδα Pal ac 105a1 διανοήματα... νοῦν δια causa homoeoarcti om. et τέτελεκα scrips. Pal 105a3 τίς σοι] τι σοι Pal 105b2 ἐνδείξεσθαι BV C D d demonstraturum, vertit Ficinus: ἐνδείξασθαιψ τ Γ Ang Pa 14 Z a N 340 c V 590 S V 186 Ξ W 55 Mob N 337 Bdm οὐ δεξασθαι Pal Pal has a better reading than the Y subgroup except V 186pc and Ξ (see the variants at 124d7 in 3.7., Hypothesis 7 3). CS 180pc and Pal have a common better reading than Y, Z, a ac and Mo ac except the Venetians derived from V 590mg (see the variants at 124c8 in 3.9., Hypothesis 9 2). Pal corrects CS 180 s multi word dittography (see the variants at 108b2 in 3.2., Hypothesis 2 2 3) Veneti gr. 590, 189 (S), 186 and 184 (Ξ) Hypothesis 15 1: No other member of the Y subgroup descends directly from any of the later Venetian manuscripts. 115b9 ἕλκη cet.codd.: τὰ ἕλκη β V 590 S V 186 Ξ Hypothesis 15 2: No other member of the Y subgroup descends directly from V 590, S, or V 186ac. V 590, S and V 186ac agree in omission against the other manuscripts. 106b4 ἔχει scrips. V 186pc (s.l. altera manu) cet.codd.: om. V 590 S V 186ac 110b1 σοῦ scrips. V 186pc (s.l. altera manu ου) cet.codd.: om. V 590 S V 186ac Hypothesis 15 3: No other member of the Y subgroup descends directly from S or V 186ac. 109a8 δύναμαι V 186pc (punctis σαι notato μαι s.l. add.) cet.codd.: δύνασαι S V 186ac Hypothesis 15 4: No other member of the Y subgroup descends directly from S, V 186ac or Ξ ac. 133b7 ὦ scrips. V 186pc (altera manu) Ξ pc (altera manu) cet.codd.: om. S V 186ac Ξ ac 133b9 10 εἰς τοῦτον... εἰς ἄλλο scrips. V 186pc (altera manu) Ξ pc (altera manu): om. S V 186ac Ξ ac

18 Hypothesis 15 5: No other member of the Y subgroup descends directly from V 186 or Ξ (for the evidence see the variants at 105c7 in 3.5., Hypothesis 5 1). Hypothesis 15 6: V 186 in part descends from T s close descendant, not T itself or its close ascendant S. V 186 and Ξ have a common better reading against the other members of the Y subgroup. 128d6 σαυτοῦ pr. Γ pc (σ i.t.) V 186 Ξ W 55 : ἑαυτοῦ β αὑτοῦ T P(compendio) αὐτοῦ Γ ac cet.codd. Hypothesis 15 7: No other member of the Y subgroup descends from V a8 οὐκοῦν καὶ cet.codd.: οὐκοῦν γε καὶ V 186 Hypothesis 15 8: V 186pc does not descend directly from T (for the evidence see the variants at 124d7 in 3.7., Hypothesis 7 3) Vindobonensis suppl. gr. 55 (W 55 ) Hypothesis 16 1: W 55 descends from T s close descendant, not Pa 08, Pa 09, M, Y or Sc. W 55 has peculiar errors. epigrapha: ἢ : om. W b8 πολοῖς scrips. W 55ac et compendium λλ fecit altera manu W 55pc 104c1 τούτωι B D T Pa 08 Sc W τούτῳ Ψ Pa 09 Y c V 590 S: τούτω V C Γ d Ang Pa 14 M Z a N 340 V 186 Ξ W 55pc (nigriore atramento accentu reficto ω fecit) CS 180 Pal Mo Pa 11 s b N 337 Pa 12 Bdm o R τούτ P τοῦτο W 55ac 104c3 ἐρστῶν scrips. W 55ac et altera manu α a.l. add. W 55pc 104c3 ἐκκρατήθησαν scrips. W 55ac et altrum kappa punctis notavit W 55pc 104e8 ἀπηλλάγμην] ἀπηλάγμην C ac (λ inseruit C pc ); ἀπηλλάμην scrips. W 55ac et altera manu s.l. γ add. W 55pc 105d3 γάρ... ἐμοῦ om. W 55ac et altera manu in margine supp. W 55pc 105d5 εἰ σὲ scrips. W 55ac et σ post ει altera manu add. W 55pc 105d7 σὺ] σοι W a3 καίτοι cet.codd. W 55pc (altero atramento s.l. οι): καί τι W 55ac 107e6 σὺ ἄμεινον... τρόπον (107e11) causa homoeoteleuti om. W 55ac et altera manu i.m. supp. W 55pc 110a1 τὰ δίκαια... οὐκ ᾤου εἰδέναι causa homoeoteleuti om. W 55ac Pa 12ac et altera

19 manu i.m. supp. W 55pc eadem manu Pa 12pc 110a4 ἀλλ ᾤμην... πέμπτον (110a5) om. W 55ac et altera manu i.m. supp. W 55pc 116c3 φαίνεται...ἀγαθὸν causa homeoteleuti fortasse de καλόν τε καὶ ἀγαθόν om. W 55ac et altera manu i.m. supp. W 55pc 116d6: ὡς ἔοικα... εἴτε (116d8) om. W 55ac et altera manu i.m. supplev. W 55pc 123d1 ὁ Ἀλκιβιάδης οὗτος (123d3) causa homoeoteleuti et homoeoarcti di οὗτος ὁ om. W 55ac et altera manu i.m. supp. W 55pc 125e1: ποιεῖ BCD V 186pc (ν deleto) Ξ s Pa 11 Pa 12 Bdm W L o R Ficinus (docet) : ποιεῖν cet.codd. κοινωνούντων (125e1)... πολιτείας (125e4) om.w 55 ; 126c6 τιν... διὰ (126c8) causa homoeoteleuti om. W 55ac et altera manu i.m. supplev. W 55pc 126c12 ναί... αὐτὸς αὑτῷ ἕκαστος causa homoeoteleuti om. W 55ac et altera manu i.m. supp. W 55pc Hypothesis 16 2: W 55 descends directly from one or some of the manuscripts: DΨ Τ Pa 08 Ang Pa 09 M Sc Pa 11 s Y a c V 590 S V 186 Ξ W and L. 107e6 scholion in margine πυκτίειν ἢ παγκρατιάζειν πρὸς ἕτερον ἄνευ συμπλοκῆς ἢ ὅλως ἄκραις ταῖς χερσὶ μετε ἄλλου γυμνάζεσθαι inter καὶ τίσιν ἀκρο et ἀκροχειρίζεσθαι inseruit W 55ac et ἀκρο bruneo atramento s.l. scripto punctis notavit W 55pc (scholion ad ἀκροχειρίζεσθαι in margine scrips. : πυκτεύειν ἢ παγκρατιάζειν πρὸς ἕτερον ἄνευ συμπλοκῆς ἢ ὅλως ἄκραις ταῖς χερσὶ μετὰ ἄλλου γυμνάζεσθαι DΨ Τ Pa 08 Ang Pa 09 M Sc Pa 11 s Y a c V 590 S V 186 Ξ WL; πυκτεύειν παγκρατίζειν ἄκραις ταῖς χερσὶ μετ ἄλλου γυμνάζεσθαι P; ἄκραις ταῖς χερσὶ μετ ἄλλου γυμνάζεσθαι Mo: non scrips. BV C Γ d b N 337 Pa 12 Bdm Z N 340 CS 180 Pal o R) scholion ad ἀκροχειρίζεσθαι: πυκτεύειν DΨ T Pa 08 Ang Pa 09 M Sc Pa 11 s Y a c V 590 S V 186 Ξ P WL: πυκτίειν W 55 μετὰ DΨ T Pa 08 Ang Pa 09 M Sc Pa 11 s Y a c V 590 S V 186 P WL: μετε W 55 μετ Ξ Mo Hypothesis 16 3: W 55 does not descend directly from any member of the B group. 104b3 τοὺς πρὸς μητρὸς... συμπάντων scrips. W 55 : om. C 107a10 βουλεύωνται C pc (s.l. ευ) W 55 : βούλωνται BV C ac DΨ 110b8 με scrips. W 55 : om. DΨ 113b1 παντὸς W 55 : παντὸς τοῦ λόγου β 115d9 ἔμοιγε... δειλίαι scrips. W 55 : om. C 117b9 ἐγὼ scrips. W 55 : om. β

20 118b1 οἴει W 55 : om. β 119b5 ἂν τὸν W 55 : αὐτὸν τὸν BV CD ac αὐτὴν τὸν D pc (altera manu Ην imposito) αὖ τὸν Ψ 120b5 κολακεύσοντες D pc (altera manu C i.t.)ψ W 55 : κολακεύοντες BV CD ac 121b1 σε δέοι W 55 : δέ σοι C δέοι BV DΨ 122d5 γῆν μὲν C pc D pc Ψ W 55 : τῆν μὲν BV C ac D 123a3 τετραμμένα C pc W 55 : γεγραμμένα BV C ac DΨ 124a1 λεωτυχίδου D pc (λεω inposito)ψ W 55 : λευτύχιδου B pc (λ inposito)v δ ευτυχίδου B ac (δ ut videtur) C D ac (ut videtur) 124e10 ἀλλὰ... ναί (124e14) W 55 : om. C DΨ 130e3 λόγωι/λόγω W 55 : om. BV 131b1 ἅς C pc (altera manu s.l. ας) W 55 : om. B C ac D(haplographia ας)ψ 132b7 ἐφοβούμεθα W 55 : φοβούμεθα β 132c1 τοῦτο δὴ ὅτι Stobaeus: τοῦτο δὲ ὅτι W 55 τοῦτο ἤδη β 132c8 καὶ ἡμᾶς W 55 : ἡμᾶς β 133c1 θειότερον C pc (altera manu s.l. ἢ θειότερον) W 55 : θειότατον Eusebius Theodoretus νοερώτερον BV C ac DΨ 134b4 ἀθλιότητος C pc (altera manu s.l.) D pc (i. m. γρ. ἀθλιότητος)ψ W 55 : ματαιότητος B C ac D ac Ψ pc (s.l. eodem atramento γρ. ματαιότητος) Hypothesis 16 4: W 55 does not descend directly from the W group. 122e3 πόλλας... γενεὰς W 55 : πόλλαις... γενεαὶς β W L o R 130d4: ἀντὶ C D pc (ν fecit) W 55 : ἂν τι W L o R αὐ τι BV αὖ τι D ac ἄντι Ψ 135a2: ἐπιπλήττοι τις W ac L ac R W 55 : ἐπιπλήτη τις C pc (altera manu τον eraso H i.t. et σ s.l. add.) ἐπιπλήττοντι B C ac DΨ ἐπιπλήττη W pc (s.l. Η)L pc (eodem atramento s.l. Η) ἐπιπλήττει o 133e9 πολιτικός L pc (eodem atramento ιτ pro εμ fecit) W 55 : πολεμικός W L ac 105d7 e3 ὤσπερ γὰρ σὺ ἐλπίδας ἔχεις ἐν τῆι πόλει, οὕτω κἀγὼ παρὰ σοὶ ἐλπίζω μέγιστον δυνήσεσθαι ἐνδειξάμενοσ ὅτι... β: ὤσπερ γὰρ σὺ ἐλπίδας ἔχεις ἐν τῆι πόλει ἐνδείξασθαι ὄτι..., ἐνδειξάμενος δὲ... δυνήσεσθαι, οὕτω κἀγὼ παρὰ σοὶ ἐλπίζω μέγιστον δυνήσεσθαι ἐνδειξάμενος ὅτι... W 55 : ὤσπερ γὰρ σὺ ἐλπίδας ἔχεις ἐν τῆι πόλει ἐνδείξασθαι ὄτι..., ἐνδειξάμενος δὲ... δυνήσεσθαι, ἐνδειξάμενος ὅτι... W L o R 122d1 τι W 55 : om. W L o R 132b3 καὶ W pc (altera manu) W 55 : om. W ac L o R

21 See also the variants at 119e1 in 3.7, Hypothesis 7 3. Hypothesis 16 5: W 55 does not descend directly from P. 105c5 ἡγεῖσθαι W 55 : om. P 112a3 νὴ δι W 55 : om. P 113b2 ναί W 55 : om. P 116c14 ναί W 55 : om. P 125d3 γ αὖ πάνυ γε W 55 : om. P 127b1 οὐκ ἔοικεν W 55 : om. P Hypothesis 16 6: W 55 does not descend directly from any of the Sc subgroup. 107b7 ἀγεννής Bdm pc (altera manu s.l. ν) W 55 : ἀγενής Pa 11 Pa 12 Bdm ac N 118b3 κινδυνεύω scrips. Pa 11pc W 55 : om. Sc s Pa 11ac Pa b5 παρελθεῖν Pa 11pc (s.l. εῖν) W 55 : διελθεῖν Syrianus παρελθὼν s Pa 11ac 123d5 ὅτι W 55 : ὡς Sc s Pa 11 Pa c12 ναί scrips. Pa 11pc (s.l. ναί) W 55 : om. Sc s Pa 11ac 127a4 αὖ φαίης/φαιήις ἂν W 55 b: φαίης ἂν Sc Pa 11 s Pa 12 Bdm 129b7 ναί scrips. Pa 11pc W 55 : om. Sc s Pa 11ac 129d6 καὶ χερσίν scrips. Pa 11pc (extra lineam καὶ χερσίν) Pa 12pc (i.m. καὶ χερσίν) W 55 : om. s Pa 11ac Pa 12ac See also the variants at 105a4 and 105d4 in 3.5., Hypothesis 5 1; 115b3 and 123d5 in 3.2., Hypothesis 2 1; 119e1 in 3.7, Hypothesis 7 3; 130a9 in 3.3., Hypothesis 3 1. Hypothesis 16 7: W 55 does not descend directly from Γ or d. 106b11 ἅ φημί σε W 55 : ἀφίημι σοι Γ d 106a6 μοι scrips. W 55 : om. d 106b8 οὐ χαλεπόν scrips. W 55 : om. d; Hypothesis 16 8: W 55 does not descend directly from the Y subgroup. 105d1 λόγον cet.codd. W 55 : τὸν λόγον V 186pc s.l. Ξ 105c7 ἴσως ἂν οὖν cet.codd. W 55 : ἴσως οὖν ἂν Ξ 109a1 συμβουλεύσεις β T ac Γ d V 186pc (altera manu s.l. σ) W 55 P W L o R: συμβουλεύεις T pc (supra sigma puncto notavit) V 186ac cet.codd. 113a4 ἔρωμαι Ol.λ: ἐρῶ καὶ cet.codd. W 55 : ἐρωτῶ καὶ Γ Ξ

22 See also the variants at 104a1 bis in 3.13., Hypothesis 13 1; 105a3 and a7 in 3.8., Hypothesis 8 3; 105b5 in 3.1., Hypothesis 1 2; 108b2 in 3.2., Hypothesis 2 2 3; 105b6, 105d1, 106a3, 107b9 10, 109a6 and 114d4 in 3.2., Hypothesis 2 2 5; 112d3 in 3.9., Hypothesis 9 1; 107e1 in 3.9., Hypothesis 9 6; 105a2 in 3.11., Hypothesis 11 1; 133d12 in 3.14, Hypothesis 14 1; 108e9 and 132a1 in 3.14., Hypothesis 14 4; 106b4 and 110b1 in 3.15., Hypothesis 15 2; 133b7 and 133b9 10 in 3.15., Hypothesis Hypothesis 16 9: W 55 does not descend directly from Pa 08, Pa 09 or M, but rather from V 186 after correction is made or T (for the evidence see the variants at 109c2 (πολεμεῖν at 109c1), 111a8 and 130d6 in 3.1., Hypothesis 1 1; 108b2 in 3.2., Hypothesis 2 2 3; 124c8 in 3.9., Hypothesis 9 2; 112c2 in 3.9., Hypothesis 9 3). Hypothesis 16 10: W 55 does not descend directly from Ang or Pa 14 (for the evidence see the variants at 105c3 and 106c9 in 3.1., Hypothesis 1 3). Hypothesis 16 11: W 55 would less likely descend directly from T. 105e4 ἱκανὸς Γ pc cet.codd. W 55 : ἱκανῶς T Γ ac (ως compendio) 129b3 ὄντες β Pa 08pc (eadem manu ε s.l.) Ang pc (altera manu ε s.l.) Pa 09pc (eadem manu ε s.l.) Y pc (eadem manu ε s.l.) Z a pc (ε s.l.) W 55 : ὄντος T Pa 08ac Ang ac Pa 09ac Y ac a ac cet.codd. See also the variants at 128d6 in 3.15., Hypothesis Hypothesis 16 12: W 55 and Γ pc descend directly from a common ancestor derived from T, not Pa 08. W 55 and Γ pc have a common better reading against T and Γ ac (see the variants at 128d6 in 3.15., Hypothesis 15 6; 132d7 in 3.7., Hypothesis 7 3). The following variants suggest that the exemplar of W 55 belongs to the T group. 116c3 φαίνεται...ἀγαθὸν causa homoeoteleuti in T genere fortasse de καλόν τε καὶ ἀγαθόν om. W 55ac et altera manu i.m. supp. W 55pc ; 123d1 ὁ Ἀλκιβιάδης οὗτος (123d3) causa homoeoteleuti et homoeoarcti di οὗτος ὁ in T genere om. W 55ac et altera manu i.m. supp. W 55pc ; 126c12 ναί... αὐτὸς αὑτῷ ἕκαστος causa homoeoteleuti in T genere om. W 55ac et altera manu i.m. supp. W 55pc However, the omissions without homoeoteleuton do not suggest which manuscript to determine among the T group

23 116d6: ὡς ἔοικα... εἴτε (116d8) om. W 55ac et altera manu i.m. supp. W 55pc In T the word φαίνομαι at 116d6 appears in the second word at fol. 121 v, col. 1, l. 30. In the next line the word Πεπαρηθίοις is not located under the end of the word φαινομαι where the scribe should have read again if he had stopped looking at the exemplar, copied the line up to the word φαίνομαι and then wrongly skipped over one line. Nor is it in Sc (fol. 156 v, ll ), Pa 09 (fol. 165 r, ll ) or M(fol. 179 v, ll ). In contrast, Πεπαρηθίοις in the next line is located just under the end of the word φαίνομαι in Pa 08 (fol. 205 r, ll ), almost just under in Pa 11 (fol. 148 v, ll ) and with both words over the end of the line in V 186 (fol. 232 r, ll ).) Concerning the omission without homoeoteleuton at 105d3, the omission does not cover one line in T, V 186, Pa 11 while it covers almost one line in Pa 08 ; concerning the omission without homoeoteleuton at 110a4, the omission does not cover a line in Pa 08, V 186 or Pa 11, while it covers almost one line in T; concerning the omission at 123d1 d3, the second οὗτος ὁ is located two lines under the end of the first in T (fol. 122 v, ll ) and one line a little rightward under in V 186 (fol. 233 v, ll ), while it is not under in Pa 08 (fol. 207 v, ll ) or Pa 11 (fol. 151 r, ll. 14 5). Bibliography Etwall, G. (1771), Platonis Dialogi III, Oxford. Pasquali, G. ( ), Storia della tradizione e critica del testo, Firenze. Taki, A. (2012), Hypotheses of the Textual Interrelations among Some Medieval Manuscripts of the Platonic Alcibiades I, The Bulletin of the Graduate School of Josai International University [= BGSJIU], 16 (2012) (2014), Some Modern Editors Discrepancies from the Manuscripts in Their apparatus critici of the Platonic First Alcibiades, BGSJIU, 17 (2014) (2015), Hypotheses on the Textual Interrelations of Florentine and Coislian Manuscripts in the Transmission of the Platonic First Alcibiades, BGSJIU, 18 (2015) (2016), Hypotheses on the Textual Interrelations among Some Later Venetian Manuscripts in the Transmission of the Platonic First Alcibiades, BGSJIU, 19 (2016) (2017), Hypotheses on the Textual Transmission of the Platonic First Alcibiades in Ficino's Translation and Four 16th Century Editions of Plato's Works, BGSJIU, 20 (2017)

24 Notes: 1. Pasquali ( ). 2. Taki (2012); (2014); (2015); (2016); (2017). 3. Scholia: B T Pa 08 Pa 09 Y a c V 590 S V 186 Ξ M Sc Pa 11 s W L R: om. V C Ψ Γ d W 55 N Pa 12 b P o. Thanks are due to Professor Peter J. Rhodes for reading my English. This work is supported by JSPS Kakenhi Grant Number and

2. A Review of Previous Scholarly Work

2. A Review of Previous Scholarly Work Abstract Methodologically collating the texts of the work under discussion in order to revise Schanz s overgeneralization from irrelevant samples in a manuscript, I propose on the textual interrelations

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

1. Introduction. Key Words: textual criticism; the First Alcibiades; Plato; Manuzio Aldo; Musurus; Grynaeus; Henri Estienne.

1. Introduction. Key Words: textual criticism; the First Alcibiades; Plato; Manuzio Aldo; Musurus; Grynaeus; Henri Estienne. Abstract Collating the reproductions of most of the medieval manuscripts of the Platonic First Alcibiades with Marsilio Ficino s translation and Manuzio Aldo s edition (1513), the two Basel editions (1534

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

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

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

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

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

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

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

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

Gregorius Nyssenus - De deitate filii et spiritus sancti

Gregorius Nyssenus - De deitate filii et spiritus sancti This text belongs to the Thesaurus Linguae Graecae (TLG ), a Research Center at the University of California, Irvine, which digitized it and owns the relevant Copyright. On May 15, 2008, Prof. M. Pantelia,

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

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

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

πρῶτον μὲν τοῦτον τὸν λόγον ἀναλάβωμεν ὃν σὺ λέγεις περὶ τῶν δοξῶν μέν congr. cmpl. subj. bep. bij bijzinskern

πρῶτον μὲν τοῦτον τὸν λόγον ἀναλάβωμεν ὃν σὺ λέγεις περὶ τῶν δοξῶν μέν congr. cmpl. subj. bep. bij bijzinskern VERTAALHULP BIJ 31.2 πῶς οῦν ἂν μετριώτατα σκοποίμεθα αὐτά; < --predicaat-- > compl. (obj.) πρῶτον μὲν τοῦτον τὸν λόγον ἀναλάβωμεν ὃν σὺ λέγεις περὶ τῶν δοξῶν μέν congr. cmpl. subj. bep. bij bijzinskern

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

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

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

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

ST5224: Advanced Statistical Theory II

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

Διαβάστε περισσότερα

Jesse Maassen and Mark Lundstrom Purdue University November 25, 2013

Jesse Maassen and Mark Lundstrom Purdue University November 25, 2013 Notes on Average Scattering imes and Hall Factors Jesse Maassen and Mar Lundstrom Purdue University November 5, 13 I. Introduction 1 II. Solution of the BE 1 III. Exercises: Woring out average scattering

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

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

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

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

Key Words: textual criticism; Spuria; De iusto; De virtute; Parisinus graecus 1807; Parisinus graecus 1808

Key Words: textual criticism; Spuria; De iusto; De virtute; Parisinus graecus 1807; Parisinus graecus 1808 Abstract On the basis of my collation of the digital reproductions I hypothesize on the textual interrelations of the medieval manuscripts of the two concomitantly transmitted pseudo-platonic works De

Διαβάστε περισσότερα

PARTIAL NOTES for 6.1 Trigonometric Identities

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

Διαβάστε περισσότερα

ΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ. ΘΕΜΑ: «ιερεύνηση της σχέσης µεταξύ φωνηµικής επίγνωσης και ορθογραφικής δεξιότητας σε παιδιά προσχολικής ηλικίας»

ΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ. ΘΕΜΑ: «ιερεύνηση της σχέσης µεταξύ φωνηµικής επίγνωσης και ορθογραφικής δεξιότητας σε παιδιά προσχολικής ηλικίας» ΠΑΝΕΠΙΣΤΗΜΙΟ ΑΙΓΑΙΟΥ ΣΧΟΛΗ ΑΝΘΡΩΠΙΣΤΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΤΜΗΜΑ ΕΠΙΣΤΗΜΩΝ ΤΗΣ ΠΡΟΣΧΟΛΙΚΗΣ ΑΓΩΓΗΣ ΚΑΙ ΤΟΥ ΕΚΠΑΙ ΕΥΤΙΚΟΥ ΣΧΕ ΙΑΣΜΟΥ «ΠΑΙ ΙΚΟ ΒΙΒΛΙΟ ΚΑΙ ΠΑΙ ΑΓΩΓΙΚΟ ΥΛΙΚΟ» ΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ που εκπονήθηκε για τη

Διαβάστε περισσότερα

ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΕΙΡΑΙΑ ΤΜΗΜΑ ΝΑΥΤΙΛΙΑΚΩΝ ΣΠΟΥΔΩΝ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΣΤΗΝ ΝΑΥΤΙΛΙΑ

ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΕΙΡΑΙΑ ΤΜΗΜΑ ΝΑΥΤΙΛΙΑΚΩΝ ΣΠΟΥΔΩΝ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΣΤΗΝ ΝΑΥΤΙΛΙΑ ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΕΙΡΑΙΑ ΤΜΗΜΑ ΝΑΥΤΙΛΙΑΚΩΝ ΣΠΟΥΔΩΝ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΣΤΗΝ ΝΑΥΤΙΛΙΑ ΝΟΜΙΚΟ ΚΑΙ ΘΕΣΜΙΚΟ ΦΟΡΟΛΟΓΙΚΟ ΠΛΑΙΣΙΟ ΚΤΗΣΗΣ ΚΑΙ ΕΚΜΕΤΑΛΛΕΥΣΗΣ ΠΛΟΙΟΥ ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ που υποβλήθηκε στο

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

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *2517291414* GREEK 0543/02 Paper 2 Reading and Directed Writing May/June 2013 1 hour 30 minutes

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

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 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

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

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

ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΤΜΗΜΑ ΟΔΟΝΤΙΑΤΡΙΚΗΣ ΕΡΓΑΣΤΗΡΙΟ ΟΔΟΝΤΙΚΗΣ ΚΑΙ ΑΝΩΤΕΡΑΣ ΠΡΟΣΘΕΤΙΚΗΣ

ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΤΜΗΜΑ ΟΔΟΝΤΙΑΤΡΙΚΗΣ ΕΡΓΑΣΤΗΡΙΟ ΟΔΟΝΤΙΚΗΣ ΚΑΙ ΑΝΩΤΕΡΑΣ ΠΡΟΣΘΕΤΙΚΗΣ ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΤΜΗΜΑ ΟΔΟΝΤΙΑΤΡΙΚΗΣ ΕΡΓΑΣΤΗΡΙΟ ΟΔΟΝΤΙΚΗΣ ΚΑΙ ΑΝΩΤΕΡΑΣ ΠΡΟΣΘΕΤΙΚΗΣ ΣΥΓΚΡΙΤΙΚΗ ΜΕΛΕΤΗ ΤΗΣ ΣΥΓΚΡΑΤΗΤΙΚΗΣ ΙΚΑΝΟΤΗΤΑΣ ΟΡΙΣΜΕΝΩΝ ΠΡΟΚΑΤΑΣΚΕΥΑΣΜΕΝΩΝ ΣΥΝΔΕΣΜΩΝ ΑΚΡΙΒΕΙΑΣ

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

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

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

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

Other Test Constructions: Likelihood Ratio & Bayes Tests

Other Test Constructions: Likelihood Ratio & Bayes Tests Other Test Constructions: Likelihood Ratio & Bayes Tests Side-Note: So far we have seen a few approaches for creating tests such as Neyman-Pearson Lemma ( most powerful tests of H 0 : θ = θ 0 vs H 1 :

Διαβάστε περισσότερα

Advanced Subsidiary Unit 1: Understanding and Written Response

Advanced Subsidiary Unit 1: Understanding and Written Response Write your name here Surname Other names Edexcel GE entre Number andidate Number Greek dvanced Subsidiary Unit 1: Understanding and Written Response Thursday 16 May 2013 Morning Time: 2 hours 45 minutes

Διαβάστε περισσότερα

Πανεπιστήμιο Κρήτης, Τμήμα Επιστήμης Υπολογιστών Άνοιξη 2009. HΥ463 - Συστήματα Ανάκτησης Πληροφοριών Information Retrieval (IR) Systems

Πανεπιστήμιο Κρήτης, Τμήμα Επιστήμης Υπολογιστών Άνοιξη 2009. HΥ463 - Συστήματα Ανάκτησης Πληροφοριών Information Retrieval (IR) Systems Πανεπιστήμιο Κρήτης, Τμήμα Επιστήμης Υπολογιστών Άνοιξη 2009 HΥ463 - Συστήματα Ανάκτησης Πληροφοριών Information Retrieval (IR) Systems Στατιστικά Κειμένου Text Statistics Γιάννης Τζίτζικας άλ ιάλεξη :

Διαβάστε περισσότερα

Congruence Classes of Invertible Matrices of Order 3 over F 2

Congruence Classes of Invertible Matrices of Order 3 over F 2 International Journal of Algebra, Vol. 8, 24, no. 5, 239-246 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/.2988/ija.24.422 Congruence Classes of Invertible Matrices of Order 3 over F 2 Ligong An and

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

Section 7.6 Double and Half Angle Formulas

Section 7.6 Double and Half Angle Formulas 09 Section 7. Double and Half Angle Fmulas To derive the double-angles fmulas, we will use the sum of two angles fmulas that we developed in the last section. We will let α θ and β θ: cos(θ) cos(θ + θ)

Διαβάστε περισσότερα

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

ΠΩΣ ΕΠΗΡΕΑΖΕΙ Η ΜΕΡΑ ΤΗΣ ΕΒΔΟΜΑΔΑΣ ΤΙΣ ΑΠΟΔΟΣΕΙΣ ΤΩΝ ΜΕΤΟΧΩΝ ΠΡΙΝ ΚΑΙ ΜΕΤΑ ΤΗΝ ΟΙΚΟΝΟΜΙΚΗ ΚΡΙΣΗ

ΠΩΣ ΕΠΗΡΕΑΖΕΙ Η ΜΕΡΑ ΤΗΣ ΕΒΔΟΜΑΔΑΣ ΤΙΣ ΑΠΟΔΟΣΕΙΣ ΤΩΝ ΜΕΤΟΧΩΝ ΠΡΙΝ ΚΑΙ ΜΕΤΑ ΤΗΝ ΟΙΚΟΝΟΜΙΚΗ ΚΡΙΣΗ Σχολή Διοίκησης και Οικονομίας Κρίστια Κυριάκου ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΔΙΟΙΚΗΣΗΣ ΚΑΙ ΟΙΚΟΝΟΜΙΑΣ ΤΜΗΜΑ ΕΜΠΟΡΙΟΥ,ΧΡΗΜΑΤΟΟΙΚΟΝΟΜΙΚΩΝ ΚΑΙ ΝΑΥΤΙΛΙΑΣ Της Κρίστιας Κυριάκου ii Έντυπο έγκρισης Παρουσιάστηκε

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

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

DESIGN OF MACHINERY SOLUTION MANUAL h in h 4 0.

DESIGN OF MACHINERY SOLUTION MANUAL h in h 4 0. DESIGN OF MACHINERY SOLUTION MANUAL -7-1! PROBLEM -7 Statement: Design a double-dwell cam to move a follower from to 25 6, dwell for 12, fall 25 and dwell for the remader The total cycle must take 4 sec

Διαβάστε περισσότερα

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education Cambridge International Examinations Cambridge International General Certificate of Secondary Education GREEK 0543/04 Paper 4 Writing For Examination from 2015 SPECIMEN PAPER Candidates answer on the Question

Διαβάστε περισσότερα

*2354431106* GREEK 0543/02 Paper 2 Reading and Directed Writing May/June 2009

*2354431106* GREEK 0543/02 Paper 2 Reading and Directed Writing May/June 2009 UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *2354431106* GREEK 0543/02 Paper 2 Reading and Directed Writing May/June 2009 1 hour 30 minutes

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

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

Second Order Partial Differential Equations

Second Order Partial Differential Equations Chapter 7 Second Order Partial Differential Equations 7.1 Introduction A second order linear PDE in two independent variables (x, y Ω can be written as A(x, y u x + B(x, y u xy + C(x, y u u u + D(x, y

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

Homework 8 Model Solution Section

Homework 8 Model Solution Section MATH 004 Homework Solution Homework 8 Model Solution Section 14.5 14.6. 14.5. Use the Chain Rule to find dz where z cosx + 4y), x 5t 4, y 1 t. dz dx + dy y sinx + 4y)0t + 4) sinx + 4y) 1t ) 0t + 4t ) sinx

Διαβάστε περισσότερα

CRASH COURSE IN PRECALCULUS

CRASH COURSE IN PRECALCULUS CRASH COURSE IN PRECALCULUS Shiah-Sen Wang The graphs are prepared by Chien-Lun Lai Based on : Precalculus: Mathematics for Calculus by J. Stuwart, L. Redin & S. Watson, 6th edition, 01, Brooks/Cole Chapter

Διαβάστε περισσότερα

4.6 Autoregressive Moving Average Model ARMA(1,1)

4.6 Autoregressive Moving Average Model ARMA(1,1) 84 CHAPTER 4. STATIONARY TS MODELS 4.6 Autoregressive Moving Average Model ARMA(,) This section is an introduction to a wide class of models ARMA(p,q) which we will consider in more detail later in this

Διαβάστε περισσότερα

ω ω ω ω ω ω+2 ω ω+2 + ω ω ω ω+2 + ω ω+1 ω ω+2 2 ω ω ω ω ω ω ω ω+1 ω ω2 ω ω2 + ω ω ω2 + ω ω ω ω2 + ω ω+1 ω ω2 + ω ω+1 + ω ω ω ω2 + ω

ω ω ω ω ω ω+2 ω ω+2 + ω ω ω ω+2 + ω ω+1 ω ω+2 2 ω ω ω ω ω ω ω ω+1 ω ω2 ω ω2 + ω ω ω2 + ω ω ω ω2 + ω ω+1 ω ω2 + ω ω+1 + ω ω ω ω2 + ω 0 1 2 3 4 5 6 ω ω + 1 ω + 2 ω + 3 ω + 4 ω2 ω2 + 1 ω2 + 2 ω2 + 3 ω3 ω3 + 1 ω3 + 2 ω4 ω4 + 1 ω5 ω 2 ω 2 + 1 ω 2 + 2 ω 2 + ω ω 2 + ω + 1 ω 2 + ω2 ω 2 2 ω 2 2 + 1 ω 2 2 + ω ω 2 3 ω 3 ω 3 + 1 ω 3 + ω ω 3 +

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

Solutions to Exercise Sheet 5

Solutions to Exercise Sheet 5 Solutions to Eercise Sheet 5 jacques@ucsd.edu. Let X and Y be random variables with joint pdf f(, y) = 3y( + y) where and y. Determine each of the following probabilities. Solutions. a. P (X ). b. P (X

Διαβάστε περισσότερα

Lesson Seven: ADULTERY Matthew 5:27-30

Lesson Seven: ADULTERY Matthew 5:27-30 Lesson Seven: ADULTERY Matthew 5:27-30 LESSON OBJECTIVE: The student demonstrates understanding of the historical and literary meaning of Matthew 5:27-30 and related texts. LESSON INDICATORS: Upon successful

Διαβάστε περισσότερα

Solution Series 9. i=1 x i and i=1 x i.

Solution Series 9. i=1 x i and i=1 x i. Lecturer: Prof. Dr. Mete SONER Coordinator: Yilin WANG Solution Series 9 Q1. Let α, β >, the p.d.f. of a beta distribution with parameters α and β is { Γ(α+β) Γ(α)Γ(β) f(x α, β) xα 1 (1 x) β 1 for < x

Διαβάστε περισσότερα

ΠΑΡΑΜΕΤΡΟΙ ΕΠΗΡΕΑΣΜΟΥ ΤΗΣ ΑΝΑΓΝΩΣΗΣ- ΑΠΟΚΩΔΙΚΟΠΟΙΗΣΗΣ ΤΗΣ BRAILLE ΑΠΟ ΑΤΟΜΑ ΜΕ ΤΥΦΛΩΣΗ

ΠΑΡΑΜΕΤΡΟΙ ΕΠΗΡΕΑΣΜΟΥ ΤΗΣ ΑΝΑΓΝΩΣΗΣ- ΑΠΟΚΩΔΙΚΟΠΟΙΗΣΗΣ ΤΗΣ BRAILLE ΑΠΟ ΑΤΟΜΑ ΜΕ ΤΥΦΛΩΣΗ ΠΑΝΕΠΙΣΤΗΜΙΟ ΜΑΚΕΔΟΝΙΑΣ ΟΙΚΟΝΟΜΙΚΩΝ ΚΑΙ ΚΟΙΝΩΝΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΤΜΗΜΑ ΕΚΠΑΙΔΕΥΤΙΚΗΣ ΚΑΙ ΚΟΙΝΩΝΙΚΗΣ ΠΟΛΙΤΙΚΗΣ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΠΑΡΑΜΕΤΡΟΙ ΕΠΗΡΕΑΣΜΟΥ ΤΗΣ ΑΝΑΓΝΩΣΗΣ- ΑΠΟΚΩΔΙΚΟΠΟΙΗΣΗΣ ΤΗΣ BRAILLE

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

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

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

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

and that among the editors after Bekker, Winckelmann, Hermann and Hirschig used

and that among the editors after Bekker, Winckelmann, Hermann and Hirschig used This is a collection of some modern editors discrepancies from the manuscripts in their apparatus critici of the Platonic First Alcibiades and an appendix listing corrigenda to my last collation of its

Διαβάστε περισσότερα

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 24/3/2007

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 24/3/2007 Οδηγίες: Να απαντηθούν όλες οι ερωτήσεις. Όλοι οι αριθμοί που αναφέρονται σε όλα τα ερωτήματα μικρότεροι του 10000 εκτός αν ορίζεται διαφορετικά στη διατύπωση του προβλήματος. Αν κάπου κάνετε κάποιες υποθέσεις

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

1. Αφετηρία από στάση χωρίς κριτή (self start όπου πινακίδα εκκίνησης) 5 λεπτά µετά την αφετηρία σας από το TC1B KALO LIVADI OUT

1. Αφετηρία από στάση χωρίς κριτή (self start όπου πινακίδα εκκίνησης) 5 λεπτά µετά την αφετηρία σας από το TC1B KALO LIVADI OUT Date: 21 October 2016 Time: 14:00 hrs Subject: BULLETIN No 3 Document No: 1.3 --------------------------------------------------------------------------------------------------------------------------------------

Διαβάστε περισσότερα

ΣΧΕΔΙΑΣΜΟΣ ΔΙΚΤΥΩΝ ΔΙΑΝΟΜΗΣ. Η εργασία υποβάλλεται για τη μερική κάλυψη των απαιτήσεων με στόχο. την απόκτηση του διπλώματος

ΣΧΕΔΙΑΣΜΟΣ ΔΙΚΤΥΩΝ ΔΙΑΝΟΜΗΣ. Η εργασία υποβάλλεται για τη μερική κάλυψη των απαιτήσεων με στόχο. την απόκτηση του διπλώματος ΣΧΕΔΙΑΣΜΟΣ ΔΙΚΤΥΩΝ ΔΙΑΝΟΜΗΣ Η εργασία υποβάλλεται για τη μερική κάλυψη των απαιτήσεων με στόχο την απόκτηση του διπλώματος «Οργάνωση και Διοίκηση Βιομηχανικών Συστημάτων με εξειδίκευση στα Συστήματα Εφοδιασμού

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

Lecture 2: Dirac notation and a review of linear algebra Read Sakurai chapter 1, Baym chatper 3

Lecture 2: Dirac notation and a review of linear algebra Read Sakurai chapter 1, Baym chatper 3 Lecture 2: Dirac notation and a review of linear algebra Read Sakurai chapter 1, Baym chatper 3 1 State vector space and the dual space Space of wavefunctions The space of wavefunctions is the set of all

Διαβάστε περισσότερα

Athanasius Alexandrinus - Magnus - Epistula ad Palladium

Athanasius Alexandrinus - Magnus - Epistula ad Palladium This text belongs to the Thesaurus Linguae Graecae (TLG ), a Research Center at the University of California, Irvine, which digitized it and owns the relevant Copyright. On May 15, 2008, Prof. M. Pantelia,

Διαβάστε περισσότερα

Notes on the Open Economy

Notes on the Open Economy Notes on the Open Econom Ben J. Heijdra Universit of Groningen April 24 Introduction In this note we stud the two-countr model of Table.4 in more detail. restated here for convenience. The model is Table.4.

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

Mean bond enthalpy Standard enthalpy of formation Bond N H N N N N H O O O

Mean bond enthalpy Standard enthalpy of formation Bond N H N N N N H O O O Q1. (a) Explain the meaning of the terms mean bond enthalpy and standard enthalpy of formation. Mean bond enthalpy... Standard enthalpy of formation... (5) (b) Some mean bond enthalpies are given below.

Διαβάστε περισσότερα

HW 13 Due THURSDAY May 3, 2018

HW 13 Due THURSDAY May 3, 2018 Όνομα: Τάξη: Αριθμό# (Greek First and Last name) Name: HW 13 Due THURSDAY May 3, 2018 For My HW 13: - PRINT HW 13 packet and bring to class on THURSDAY May 3, 2018! - Write my name (Greek and English),

Διαβάστε περισσότερα

Approximation of distance between locations on earth given by latitude and longitude

Approximation of distance between locations on earth given by latitude and longitude Approximation of distance between locations on earth given by latitude and longitude Jan Behrens 2012-12-31 In this paper we shall provide a method to approximate distances between two points on earth

Διαβάστε περισσότερα

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education Cambridge International Examinations Cambridge International General Certificate of Secondary Education *4358398658* GREEK 0543/04 Paper 4 Writing May/June 2015 1 hour Candidates answer on the Question

Διαβάστε περισσότερα

Κάθε γνήσιο αντίγραφο φέρει υπογραφή του συγγραφέα. / Each genuine copy is signed by the author.

Κάθε γνήσιο αντίγραφο φέρει υπογραφή του συγγραφέα. / Each genuine copy is signed by the author. Κάθε γνήσιο αντίγραφο φέρει υπογραφή του συγγραφέα. / Each genuine copy is signed by the author. 2012, Γεράσιμος Χρ. Σιάσος / Gerasimos Siasos, All rights reserved. Στοιχεία επικοινωνίας συγγραφέα / Author

Διαβάστε περισσότερα

105 Verses in the Critical Greek Text of the New Testament Without Any Manuscript Support

105 Verses in the Critical Greek Text of the New Testament Without Any Manuscript Support 105 Verses in the Critical Greek Text of the New Testament Without Any Manuscript Support These notes were sent to me by Dr. Maurice Robinson and detail 105 places in the Critical Greek Text of the New

Διαβάστε περισσότερα

Lecture 2. Soundness and completeness of propositional logic

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

Διαβάστε περισσότερα

10 MERCHIA. 10. Starting from standing position (where the SIGN START ) without marshal (self start) 5 minutes after TC4 KALO LIVADI OUT

10 MERCHIA. 10. Starting from standing position (where the SIGN START ) without marshal (self start) 5 minutes after TC4 KALO LIVADI OUT Date: 22 October 2016 Time: 09:00 hrs Subject: BULLETIN No 5 Document No: 1.6 --------------------------------------------------------------------------------------------------------------------------------------

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

Variant Readings in the Main Medieval Manuscripts of the Platonic Alcibiades I, 103a1-116b1

Variant Readings in the Main Medieval Manuscripts of the Platonic Alcibiades I, 103a1-116b1 Variant Readings in the Main Medieval Manuscripts of the Platonic Alcibiades I, 103a1-116b1 Akitsugu Taki This is the first part of a collection of variant readings in the main medieval manuscripts

Διαβάστε περισσότερα

Πτυχιακή Εργασία. Παραδοσιακά Προϊόντα Διατροφική Αξία και η Πιστοποίηση τους

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

Διαβάστε περισσότερα

ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΠΛΗΡΟΦΟΡΙΚΗΣ. ΕΠΛ342: Βάσεις Δεδομένων. Χειμερινό Εξάμηνο Φροντιστήριο 10 ΛΥΣΕΙΣ. Επερωτήσεις SQL

ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΠΛΗΡΟΦΟΡΙΚΗΣ. ΕΠΛ342: Βάσεις Δεδομένων. Χειμερινό Εξάμηνο Φροντιστήριο 10 ΛΥΣΕΙΣ. Επερωτήσεις SQL ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΠΛΗΡΟΦΟΡΙΚΗΣ ΕΠΛ342: Βάσεις Δεδομένων Χειμερινό Εξάμηνο 2013 Φροντιστήριο 10 ΛΥΣΕΙΣ Επερωτήσεις SQL Άσκηση 1 Για το ακόλουθο σχήμα Suppliers(sid, sname, address) Parts(pid, pname,

Διαβάστε περισσότερα

ΠΑΝΕΠΙΣΤΗΜΙΟ ΜΑΚΕΔΟΝΙΑΣ ΤΜΗΜΑ ΒΑΛΚΑΝΙΚΩΝ, ΣΛΑΒΙΚΩΝ & ΑΝΑΤΟΛΙΚΩΝ ΣΠΟΥΔΩΝ

ΠΑΝΕΠΙΣΤΗΜΙΟ ΜΑΚΕΔΟΝΙΑΣ ΤΜΗΜΑ ΒΑΛΚΑΝΙΚΩΝ, ΣΛΑΒΙΚΩΝ & ΑΝΑΤΟΛΙΚΩΝ ΣΠΟΥΔΩΝ ΠΑΝΕΠΙΣΤΗΜΙΟ ΜΑΚΕΔΟΝΙΑΣ ΤΜΗΜΑ ΒΑΛΚΑΝΙΚΩΝ, ΣΛΑΒΙΚΩΝ & ΑΝΑΤΟΛΙΚΩΝ ΣΠΟΥΔΩΝ ΜΕΤΑΠΤΥΧΙΑΚΟ ΠΡΟΓΡΑΜΜΑ ΣΤΗΝ ΟΙΚΟΝΟΜΙΚΗ ΚΑΙ ΠΟΛΙΤΙΚΗ ΔΙΑΚΥΒΕΡΝΗΣΗ ΤΗΣ ΝΟΤΙΟΑΝΑΤΟΛΙΚΗΣ ΕΥΡΩΠΗΣ ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ "Η ΕΛΛΑΔΑ ΚΑΙ ΤΑ

Διαβάστε περισσότερα

SCHOOL OF MATHEMATICAL SCIENCES G11LMA Linear Mathematics Examination Solutions

SCHOOL OF MATHEMATICAL SCIENCES G11LMA Linear Mathematics Examination Solutions SCHOOL OF MATHEMATICAL SCIENCES GLMA Linear Mathematics 00- Examination Solutions. (a) i. ( + 5i)( i) = (6 + 5) + (5 )i = + i. Real part is, imaginary part is. (b) ii. + 5i i ( + 5i)( + i) = ( i)( + i)

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

ΙΩΑΝΝΗΣ ΛΑΣΚΑΡΗΣ, ΠΗΓΩΝΙΤΗΣ Ή ΣΥΡΠΑΓΑΝΟΣ, Ο ΚΑΛΟΜΙΣΙΔΗΣ

ΙΩΑΝΝΗΣ ΛΑΣΚΑΡΗΣ, ΠΗΓΩΝΙΤΗΣ Ή ΣΥΡΠΑΓΑΝΟΣ, Ο ΚΑΛΟΜΙΣΙΔΗΣ ΙΩΑΝΝΗΣ ΛΑΣΚΑΡΗΣ, ΠΗΓΩΝΙΤΗΣ Ή ΣΥΡΠΑΓΑΝΟΣ, Ο ΚΑΛΟΜΙΣΙΔΗΣ Ἀναπάντεχες λεπτομέρειες γιὰ τὸν βίο καὶ τὴν πολιτεία τοῦ Ἰωάννη Λάσκαρη μᾶς εἶναι γνωστὲς ἀπὸ μιὰ σειρὰ ἐγγράφων (ποὺ ἀνακάλυψε στὰ κρατικὰ ἀρχεῖα

Διαβάστε περισσότερα

k A = [k, k]( )[a 1, a 2 ] = [ka 1,ka 2 ] 4For the division of two intervals of confidence in R +

k A = [k, k]( )[a 1, a 2 ] = [ka 1,ka 2 ] 4For the division of two intervals of confidence in R + Chapter 3. Fuzzy Arithmetic 3- Fuzzy arithmetic: ~Addition(+) and subtraction (-): Let A = [a and B = [b, b in R If x [a and y [b, b than x+y [a +b +b Symbolically,we write A(+)B = [a (+)[b, b = [a +b

Διαβάστε περισσότερα