Torat Cohanim / Wayyikra (Leviticus)

Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download "Torat Cohanim / Wayyikra (Leviticus)"

Transcript

1 Torat Cohanim / Wayyikra (Leviticus) Chapter 5 E@ DL@ LEW YTPE Lev5:1 RCI E@ D@X Ÿ E Ÿ Š½ œ- ¹J :Ÿ ¾ ¼ ā ¹Bµ Ÿ-¹ Ÿ š 1. w nephesh ki-thecheta w sham `ah qol alah w hu `ed o ra ah o yada` im-lo yagid w nasa `awono. Lev5:1 Now when a soul sins and hears the voice of swearing and he is a witness, whether he has seen or he has known, if he does not tell it, then he bears his guilt. 5:1 Ἐὰν δὲ ψυχὴ ἁµάρτῃ καὶ ἀκούσῃ φωνὴν ὁρκισµοῦ καὶ οὗτος µάρτυς ἢ ἑώρακεν ἢ σύνοιδεν, ἐὰν µὴ ἀπαγγείλῃ, λήµψεται τὴν ἁµαρτίαν 1 Ean de psych hamartÿ kai akousÿ ph n n horkismou And if a soul should sin, and should hear a voice of conjuring, kai houtos martys he raken synoiden, ean m apaggeilÿ, l mpsetai t n hamartian; and witness this, or see, or be fully conscious of it, if he should not report it, he takes responsibility for his sin. ZLAPA E@ D@NH DIG ZLAPA XAC-LKA RBZ XY@ YTP E@ EPNN UXY ZLAPA E@ D@NH DNDA œµ ƒ¹ A Ÿ Š ͵ œµ ƒ¹ ƒ Ÿ Š š ƒć- A µb¹u š ¼ Ÿ ƒ : Š E EM L¹ µ Š š œµ ƒ¹ A Ÿ Š A 2. o nephesh asher tiga` b kal-dabar tame o b nib lath chayah t me ah o b nib lath b hemah t me ah o b nib lath sherets tame w ne` lam mimenu w hu tame w ashem. Lev5:2 Or when a soul touches any unclean thing, whether a carcass of an unclean beast or the carcass of unclean cattle or a carcass of unclean swarming things, though it is hidden from him and he is unclean, then he shall be guilty. 2 ἢ ψυχή, ἥτις ἐὰν ἅψηται παντὸς πράγµατος ἀκαθάρτου, ἢ θνησιµαίου ἢ θηριαλώτου ἀκαθάρτου ἢ τῶν θνησιµαίων βδελυγµάτων τῶν ἀκαθάρτων ἢ τῶν θνησιµαίων κτηνῶν τῶν ἀκαθάρτων, 2 psych, h tis ean haps tai pantos pragmatos akathartou, thn simaiou th rial tou akathartou That soul which ever should touch any thing unclean, or decaying flesh, or taken by wild beasts that which is unclean, t n thn simai n bdelygmat n t n akathart n t n thn simai n kt n n t n akathart n, or of the decaying flesh of abominations of the unclean, or of the decaying flesh cattle of unclean, XY@ EZ@NH LKL MC@ Z@NHA RBI IK E@ 3 :MY@E EPNN MLRPE DÁ Š¹ š ¼ Ÿœ ºŠ ¾ œµ ºŠ A µb¹ ¹ Ÿ HaMiqraot/The Scriptures Torah/Law Hebrew-Greek-English color coded Interlinear edited by Lanny Mebust page 1

2 : µ E EM L¹ µ 3. o ki yiga` b tum ath adam l kol tum atho asher yit ma bah w ne` lam mimenu w hu yada` w ashem. Lev5:3 Or when he touches human uncleanness, of any of its uncleanness by which he becomes unclean by it, and it is hidden from him, and he know it, then he is guilty. 3 ἢ ἅψηται ἀπὸ ἀκαθαρσίας ἀνθρώπου, ἀπὸ πάσης ἀκαθαρσίας αὐτοῦ, ἧς ἂν ἁψάµενος µιανθῇ, καὶ ἔλαθεν αὐτόν, µετὰ τοῦτο δὲ γνῷ καὶ πληµµελήσῃ, 3 haps tai apo akatharsias anthr pou, apo pas s akatharsias autou, h s an hapsamenos mianthÿ, or should touch of the uncleanness of a man, of any of his uncleanness what ever touching he should be defiled, kai elathen auton, meta touto de gnÿ kai pl mmel sÿ, and he be unaware of it, but after this he should know even he should have trespassed. LKL AIHIDL E@ RXDL RAYZ IK YTP E@ 4 :DL@N ZG@L MY@E RCI-@EDE EPNN MLRPE DRAYA XY@ ¾ ƒ ¹Š Ÿ µš ¹ µœ ā¹ƒ Hµƒ µƒ V¹œ ¹J Ÿ : K œµ µ µ - E EM L¹ µ ºƒ ¹A Hµƒ š ¼ 4. o nephesh ki thishaba` l bate bis phathayim l hara` o l heytib l kol asher y bate ha adam bish bu`ah w ne` lam mimenu w hu -yada` w ashem l achath me eleh. Lev5:4 Or when a soul swears speaking rashly with his lips to do evil or to do good, in whatever a man may speak rashly with an oath, and it is hidden from him, and he know it, then he is guilty in one of these. 4 ἢ ψυχή, ἡ ἂν ὀµόσῃ διαστέλλουσα τοῖς χείλεσιν κακοποιῆσαι ἢ καλῶς ποιῆσαι κατὰ πάντα, ὅσα ἐὰν διαστείλῃ ὁ ἄνθρωπος µεθ ὅρκου, καὶ λάθῃ αὐτὸν πρὸ ὀφθαλµῶν, καὶ οὗτος γνῷ καὶ ἁµάρτῃ ἕν τι τούτων, 4 psych, h an omosÿ diastellousa tois cheilesin kakopoi sai kal s poi sai kata panta, The soul, in what ever he should swear by an oath, drawing apart his lips to do evil or well to do according to all hosa ean diasteilÿ ho anthr pos methí horkou, kai lathÿ auton pro ophthalm n, as much as who should draw apart the man according to an oath, and should be unaware of it from his eyes kai houtos gnÿ kai hamartÿ hen ti tout n, and this one should know and should sin any one of these things XY@ DCEZDE DL@N ZG@L MY@I-IK DIDE 5 : Š š ¼ Ƶ œ¹ K œµ µ µ - ¹ 5. w hayah ki-ye sham l achath me eleh w hith wadah asher chata `aleyah. Lev5:5 So it shall be when he becomes guilty in one of these, that he shall confess that in which he has sinned by it. 5 καὶ ἐξαγορεύσει τὴν ἁµαρτίαν περὶ ὧν ἡµάρτηκεν κατ αὐτῆς, 5 kai exagoreusei t n hamartian peri h n h mart ken katí aut s, then he shall declare openly the sin for which he has sinned by it. HaMiqraot/The Scriptures Torah/Law Hebrew-Greek-English color coded Interlinear edited by Lanny Mebust page 2

3 LR 6 :EZ@HGN ODKD EILR XTKE Z@HGL MIFR ZXIRY-E@ DAYK ¾Qµ - ¹ ƒ Š š ¼ Ÿœ Hµ µ µ Ÿ ¼ -œ ¹ƒ :Ÿœ Hµ ¾Jµ š P¹ œ Hµ ¹F¹ œµš ¹ ā-ÿ Á ā¹j 6. w hebi eth- ashamo layahúwah `al chata tho asher chata n qebah min-hatso n kis bah o-s `irath `izim l chata th w kiper `alayu hakohen mechata tho. Lev5:6 He shall also bring his guilt offering to JWJY for his sin which he has committed, a female from the flock, a lamb or an ewe of the goats as a sin offering. So the priest shall make atonement on his behalf for his sin. 6 καὶ οἴσει περὶ ὧν ἐπληµµέλησεν κυρίῳ, περὶ τῆς ἁµαρτίας, ἧς ἥµαρτεν, θῆλυ ἀπὸ τῶν προβάτων, ἀµνάδα ἢ χίµαιραν ἐξ αἰγῶν, περὶ ἁµαρτίας καὶ ἐξιλάσεται περὶ αὐτοῦ ὁ ἱερεὺς περὶ τῆς ἁµαρτίας αὐτοῦ, ἧς ἥµαρτεν, καὶ ἀφεθήσεται αὐτῷ ἡ ἁµαρτία. 6 kai oisei peri h n epl mmel sen kyriÿ, peri t s hamartias, h s h marten, th ly apo t n probat n, And he shall bring for which he trespassed against YHWH, for the sin of which he sinned, a female from the sheep, amnada chimairan ex aig n, peri hamartias; kai exilasetai peri autou ho hiereus a ewe-lamb or a yearling of the goats for a sin offering. And shall atone for him the priest peri t s hamartias autou, h s h marten, kai apheth setai autÿ h hamartia. for his sin which he sinned, and shall be forgiven him the XY@ DY IC ECI 7 :DLRL CG@E Z@HGL CG@ DEDIL DPEI-IPA IPY-E@ MIXZ IZY Š š ¼ Ÿ ¼ -œ ¹ƒ ā C Ÿ µ ¹Bµœ ¾-¹ ˆ : ¾ œ Hµ µ Ÿ - ƒ -Ÿ ¹š¾œ U 7. w im-lo thagia` yado dey seh w hebi eth- ashamo asher chata sh tey thorim o-sh ney b ney-yonah layahúwah echad l chata th w echad l `olah. Lev5:7 But if his hand cannot reach sufficient for a lamb, then he shall bring to JWJY his guilt offering for that in which he has sinned, two turtledoves or two young pigeons, one for a sin offering and the other for a burnt offering. 7 Ἐὰν δὲ µὴ ἰσχύσῃ ἡ χεὶρ αὐτοῦ τὸ ἱκανὸν εἰς τὸ πρόβατον, οἴσει περὶ τῆς ἁµαρτίας αὐτοῦ, ἧς ἥµαρτεν, δύο τρυγόνας ἢ δύο νεοσσοὺς περιστερῶν κυρίῳ, ἕνα περὶ ἁµαρτίας καὶ ἕνα εἰς ὁλοκαύτωµα. 7 Ean de m ischysÿ h cheir autou to hikanon eis to probaton, oisei peri t s hamartias autou, h s And if is not strong his hand to be fit for bringing the sheep, he shall bring for his sin offering of which h marten, duo trygonas duo neossous perister n kyriÿ, hena peri hamartias kai hena eis holokaut ma. he sinned, two turtle-doves, or two young pigeons to YHWH; one for a sin offering, and one for a whole burnt-offering. DPEY@X Z@HGL XY@-Z@ AIXWDE ODKD-L@ 8 ETXR LENN EY@X-Z@ WLNE Ÿ ¹š œ Hµ µ š ¼ -œ ƒ ¹š ¹ ¾Jµ - œ¾ ¹ƒ HaMiqraot/The Scriptures Torah/Law Hebrew-Greek-English color coded Interlinear edited by Lanny Mebust page 3

4 : ¹C ƒµ ¾ ŸP š EL¹ Ÿ ¾š-œ µ E 8. w hebi otham el-hakohen w hiq rib eth- asher lachata th ri shonah umalaq eth-ro sho mimul `ar po w lo yab dil. Lev5:8 He shall bring them to the priest, who shall offer first that which is for the sin offering and shall nip its head at the front of its neck, but he shall not sever it. 8 καὶ οἴσει αὐτὰ πρὸς τὸν ἱερέα, καὶ προσάξει ὁ ἱερεὺς τὸ περὶ τῆς ἁµαρτίας πρότερον καὶ ἀποκνίσει ὁ ἱερεὺς τὴν κεφαλὴν αὐτοῦ ἀπὸ τοῦ σφονδύλου καὶ οὐ διελεῖ 8 kai oisei auta pros ton hierea, kai prosaxei ho hiereus to peri t s hamartias proteron; And he shall bring them to the priest. And shall bring the priest the one for the sin offering prior. kai apoknisei ho hiereus t n kephal n autou apo tou sphondylou kai ou dielei; And shall pluck off the priest its head from the neck, and shall not divide it. GAFND XIW-LR Z@HGD MCN DFDE 9 :@ED Z@HG GAFND CEQI-L@ DVNI MCA X@YPDE µ A ˆ¹Lµ š ¹ -µ œ Hµ µ µc¹ F¹ Š : E œ Hµ µ A ˆ¹Lµ Ÿ - Ĺ¹ ƵA š ¹Mµ 9. w hizah midam hachata th `al-qir hamiz beach w hanish ar badam yimatseh el-y sod hamiz beach chata th hu. Lev5:9 He shall also sprinkle some of the blood of the sin offering on the side of the altar, while the rest of the blood shall be drained out at the base of the altar: it is a sin offering. 9 καὶ ῥανεῖ ἀπὸ τοῦ αἵµατος τοῦ περὶ τῆς ἁµαρτίας ἐπὶ τὸν τοῖχον τοῦ θυσιαστηρίου, τὸ δὲ κατάλοιπον τοῦ αἵµατος καταστραγγιεῖ ἐπὶ τὴν βάσιν τοῦ θυσιαστηρίου ἁµαρτίας γάρ ἐστιν. 9 kai hranei apo tou haimatos tou peri t s hamartias epi ton toichon tou thysiast riou, And he shall sprinkle from the blood of the one for the sin offering upon the wall of the altar; to de kataloipon tou haimatos katastraggiei epi t n basin tou thysiast riou; hamartias gar estin. but the rest of the blood he shall drop upon the base of the altar an offering on account of sin for it is. EZ@HGN ODKD EILR XTKE HTYNK DLR DYRI IPYD-Z@E 10 :EL Ÿœ Hµ ¾Jµ š P¹ ŠṔ ¹LµJ ¾ ā¼ µ ¹ Vµ -œ :Ÿ µ ¹ Š -š ¼ 10. w eth-hasheni ya`aseh `olah kamish pat w kiper `alayu hakohen mechata tho asher-chata w nis lach lo. Lev5:10 The second he shall then prepare as a burnt offering according to the ordinance. So the priest shall make atonement on his behalf for his sin which he has committed, and it shall be forgiven him. 10 καὶ τὸ δεύτερον ποιήσει ὁλοκαύτωµα, ὡς καθήκει. καὶ ἐξιλάσεται ὁ ἱερεὺς περὶ τῆς ἁµαρτίας αὐτοῦ, ἧς ἥµαρτεν, καὶ ἀφεθήσεται αὐτῷ kai to deuteron poi sei holokaut ma, h s kath kei. And the second one he shall offer for a whole offering as is fit. HaMiqraot/The Scriptures Torah/Law Hebrew-Greek-English color coded Interlinear edited by Lanny Mebust page 4

5 kai exilasetai ho hiereus peri t s hamartias autou, h s h marten, kai apheth setai autÿ. -- And shall atone the priest for his sin which he sinned, and it shall be forgiven him. DPEI-IPA IPYL E@ MIXZ IZYL ECI 11 Z@HGL ZLQ DT@D XY@ :@ED Z@HG IK DPAL DILR OZI-@LE ONY DILR MIYI-@L Ÿ - ƒ ¹ Ÿ ¹š¾œ U ¹ Ÿ ¹Wµœ ¾-¹ œ Hµ œ ¾ œ¹š ¹ā¼ Š š ¼ Ÿ Á š -œ ¹ƒ : ¹ œ Hµ ¹J ¾ƒ U¹ - ¾ ¹ā - ¾ 11. w im-lo thasig yado lish tey thorim o lish ney b ney-yonah w hebi eth-qar bano asher chata `asirith ha ephah soleth l chata th lo -yasim `aleyah shemen w lo -yiten `aleyah l bonah ki chata th hi. Lev5:11 But if his hand cannot reach sufficient for two turtledoves or for two young pigeons, then for his offering for that which he has sinned, he shall bring the tenth of an ephah of fine flour for a sin offering; he shall not put oil on it nor place frankincense on it, for it is a sin offering. 11 ἐὰν δὲ µὴ εὑρίσκῃ αὐτοῦ ἡ χεὶρ ζεῦγος τρυγόνων ἢ δύο νεοσσοὺς περιστερῶν, καὶ οἴσει τὸ δῶρον αὐτοῦ περὶ οὗ ἥµαρτεν, τὸ δέκατον τοῦ οιφι σεµίδαλιν περὶ ἁµαρτίας οὐκ ἐπιχεεῖ ἐπ αὐτὸ ἔλαιον οὐδὲ ἐπιθήσει ἐπ αὐτὸ λίβανον, ὅτι περὶ ἁµαρτίας ἐστίν 11 ean de m heuriskÿ autou h cheir zeugos trygon n duo neossous perister n, And if should not find his hand a pair of turtle-doves, or two young pigeons, kai oisei to d ron autou peri hou h marten, to dekaton tou oiphi semidalin peri hamartias; then he shall bring his gift for which he sinned the tenth of the ephah of fine flour for a sin offering. ouk epicheei epí auto elaion oude epith sei epí auto libanon, hoti peri hamartias estin; He shall not pour upon it olive oil, nor place upon it frankincense, for because it is a sin offering. DZXKF@-Z@ DPNN ODKD UNWE ODKD-L@ D@IADE 12 :@ED Z@HG DEDI IY@ LR DGAFND XIHWDE œ š J ˆµ -œ Ÿ º Ÿ Ḿ L¹ ¾Jµ µ ¾Jµ - D ¹ƒ½ ƒ : ¹ œ Hµ É V¹ µ A ˆ¹Lµ š ¹Š ¹ 12. wehebi ah el-hakohen w qamats hakohen mimenah m lo qum tso eth- az karathah w hiq tir hamiz bechah `al ishey Yahúwah chata th hiw. Lev5:12 He shall bring it to the priest, and the priest shall take his handful of it as its memorial portion and shall burn it as incense on the altar, with the fire offerings of JWJY: it is a sin offering. 12 καὶ οἴσει αὐτὸ πρὸς τὸν ἱερέα. καὶ δραξάµενος ὁ ἱερεὺς ἀπ αὐτῆς πλήρη τὴν δράκα, τὸ µνηµόσυνον αὐτῆς ἐπιθήσει ἐπὶ τὸ θυσιαστήριον τῶν ὁλοκαυτωµάτων κυρίῳ ἁµαρτία ἐστίν. 12 kai oisei auto pros ton hierea. kai draxamenos ho hiereus apí aut s pl r t n draka, And he shall bring it to the priest. And grabbing the priest from it handful of it, to mn mosynon aut s epith sei epi to thysiast rion t n holokaut mat n kyriÿ; hamartia estin. the memorial portion of it shall place upon the altar, upon the whole burnt-offerings to YHWH a sin offering it is. HaMiqraot/The Scriptures Torah/Law Hebrew-Greek-English color coded Interlinear edited by Lanny Mebust page 5

6 ODKD EILR XTKE 13 :DGPNK ODKL DZIDE EL GLQPE K œµ µ Š -š ¼ Ÿœ Hµ -µ ¾Jµ š P¹ : ¹LµJ ¾Jµ œ Ÿ µ ¹ 13. w kiper `alayu hakohen `al-chata tho asher-chata me achath me eleh w nis lach lo w hay thah lakohen kamin chah. Lev5:13 So the priest shall make atonement for him concerning his sin which he has committed from one of these, and it shall be forgiven him; then the rest shall become the priests, like the grain offering. 13 καὶ ἐξιλάσεται περὶ αὐτοῦ ὁ ἱερεὺς περὶ τῆς ἁµαρτίας αὐτοῦ, ἧς ἥµαρτεν, ἐφ ἑνὸς τούτων, καὶ ἀφεθήσεται αὐτῷ. τὸ δὲ καταλειφθὲν ἔσται τῷ ἱερεῖ ὡς ἡ θυσία τῆς σεµιδάλεως. 13 kai exilasetai peri autou ho hiereus peri t s hamartias autou, h s h marten, ephí henos tout n, And shall atone for him the priest for his sin which he sinned against one of these things kai apheth setai autÿ. to de kataleiphthen estai tÿ hierei h s h thysia t s semidale s. and it shall be forgiven him. And the remaining shall be for the priest as a sacrifice of the fine flour. :XN@L DYN-L@ DEDI XACIE 14 :š¾ K ¾ - É š Aµ µ 14. way daber Yahúwah el-mosheh le mor. Lev5:14 Then JWJY spoke to Mosheh, saying, 14 Καὶ ἐλάλησεν κύριος πρὸς Μωυσῆν λέγων 14 Kai elal sen kyrios pros M us n leg n And YHWH spoke to Moses, saying, DEDI IYCWN DBBYA D@HGE LRN LRNZ-IK YTP 15 JKXRA O@VD-ON MINZ LI@ DEDIL :MY@L YCWD-LWYA MILWY-SQK É Ŕ¹ ¹A Š µ µ ¾ ¹œ- ¹J Š J š A ¾Qµ - ¹ ¹ Ú ¹ µ µ Ÿ ¼ -œ ¹ƒ : ¾Rµ - A ¹ - J 15. nephesh ki-thim `ol ma`al w chat ah bish gagah miqad shey Yahúwah w hebi eth- ashamo layahúwah ayil tamim min-hatso n b `er k ak keseph-sh qalim b sheqel-haqodesh l asham. Lev5:15 When a soul acts unfaithfully and sins unintentionally against the holy things of JWJY, then he shall bring his guilt offering to JWJY: a ram without blemish from the flock, according to your valuation in silver by shekels, in terms of the shekel of the sanctuary, for a guilt offering. 15 Ψυχὴ ἐὰν λάθῃ αὐτὸν λήθη καὶ ἁµάρτῃ ἀκουσίως ἀπὸ τῶν ἁγίων κυρίου, καὶ οἴσει τῆς πληµµελείας αὐτοῦ τῷ κυρίῳ κριὸν ἄµωµον ἐκ τῶν προβάτων τιµῆς ἀργυρίου σίκλων, τῷ σίκλῳ τῶν ἁγίων, περὶ οὗ ἐπληµµέλησεν. 15 Psych ean lathÿ auton l th kai hamartÿ akousi s apo t n hagi n kyriou, The soul who ever should be unaware himself with forgetfulness, and should sin unintentionally of the holy things of YHWH, HaMiqraot/The Scriptures Torah/Law Hebrew-Greek-English color coded Interlinear edited by Lanny Mebust page 6

7 kai oisei t s pl mmeleias autou tÿ kyriÿ krion am mon ek t n probat n tim s argyriou sikl n, then he shall bring for his trespass offering to YHWH ram an unblemished of the flocks, of the value of silver of shekels, tÿ siklÿ t n hagi n, peri hou epl mmel sen. in the shekel in the holy place, for what he trespassed. EILR SQEI EZYING-Z@E MLYI XY@ Z@E 16 :EL GLQPE MY@D LI@A EILR XTKI ODKDE ODKL EZ@ OZPE Ÿ Ÿœ¹ ¹ ¼ -œ Kµ ¾Rµ - ¹ Š š ¼ œ ˆŠ :Ÿ µ ¹ A š Pµ ¾Jµ ¾Jµ Ÿœ¾ µœ 16. w eth asher chata min-haqodesh y shalem w eth-chamishitho yoseph `alayu w nathan otho lakohen w hakohen y kaper `alayu b eyl ha asham w nis lach lo. Lev5:16 He shall make restitution for that which he has sinned against the holy thing, and shall add to it its fifth part and give it to the priest. The priest shall then make atonement for him with the ram of the guilt offering, and it shall be forgiven him. 16 καὶ ὃ ἥµαρτεν ἀπὸ τῶν ἁγίων, ἀποτείσαι αὐτὸ καὶ τὸ ἐπίπεµπτον προσθήσει ἐπ αὐτὸ καὶ δώσει αὐτὸ τῷ ἱερεῖ καὶ ὁ ἱερεὺς ἐξιλάσεται περὶ αὐτοῦ ἐν τῷ κριῷ τῆς πληµµελείας, καὶ ἀφεθήσεται αὐτῷ. 16 kai ho h marten apo t n hagi n, apoteisai auto kai to epipempton prosth sei epí auto And what ever he sinned, from the holy things he shall pay, and the fifth part he shall add to it. kai d sei auto tÿ hierei; kai ho hiereus exilasetai peri autou en tÿ kriÿ t s pl mmeleias, And he shall give it to the priest. And the priest shall atone for him by the ram of the trespass offering. kai apheth setai autÿ. And it shall be forgiven him. DEDI ZEVN-LKN ZG@ IK YTP-M@E 17 MY@E RCI-@LE XY@ É œ¾ ¹ - J¹ œµ µ œ ā Š½ œ ¹J -¹ ˆ :Ÿ ¾ ¼ ā µ - ¾ ā œ ¾ š ¼ 17. w im-nephesh ki thecheta w `as thah achath mikal-mits woth Yahúwah asher lo the`aseynah w lo -yada` w ashem w nasa `awono. Lev5:17 Now when a soul sins and does any of all the instructions of JWJY of what should not to be done, though he was unaware, still he is guilty and shall bear his punishment. 17 Καὶ ἡ ψυχή, ἣ ἂν ἁµάρτῃ καὶ ποιήσῃ µίαν ἀπὸ πασῶν τῶν ἐντολῶν κυρίου, ὧν οὐ δεῖ ποιεῖν, καὶ οὐκ ἔγνω καὶ πληµµελήσῃ καὶ λάβῃ τὴν ἁµαρτίαν, 17 Kai h psych, h an hamartÿ kai poi sÿ mian apo pas n t n entol n kyriou, h n ou dei poiein, And the soul who ever should sin, and should commit one trespass from all of the commandments of YHWH, which not must he do, kai ouk egn kai pl mmel sÿ kai labÿ t n hamartian, and does not know, and should trespass, and should take the guilt; ODKD-L@ MY@L JKXRA O@VD-ON MINZ 18 HaMiqraot/The Scriptures Torah/Law Hebrew-Greek-English color coded Interlinear edited by Lanny Mebust page 7

8 :EL EZBBY LR ODKD EILR XTKE ¾Jµ - J š A ¾Qµ - ¹ ¹ Ú ¹ µ ¹ƒ :Ÿ µ ¹ µ - ¾ E -š ¼ Ÿœ ¹ µ ¾Jµ š P¹ 18. w hebi ayil tamim min-hatso n b `er k ak l asham el-hakohen w kiper `alayu hakohen `al shig gatho asher-shagag w hu lo -yada` w nis lach lo. Lev5:18 He shall bring to the priest a ram without blemish from the flock, according to your valuation, for a guilt offering. So the priest shall make atonement for him concerning his error in which he sinned unintentionally and he did not know it, and it shall be forgiven him. 18 καὶ οἴσει κριὸν ἄµωµον ἐκ τῶν προβάτων τιµῆς ἀργυρίου εἰς πληµµέλειαν πρὸς τὸν ἱερέα καὶ ἐξιλάσεται περὶ αὐτοῦ ὁ ἱερεὺς περὶ τῆς ἀγνοίας αὐτοῦ, ἧς ἠγνόησεν καὶ αὐτὸς οὐκ ᾔδει, καὶ ἀφεθήσεται αὐτῷ 18 kai oisei krion am mon ek t n probat n tim s argyriou eis pl mmeleian pros ton hierea; then he shall bring ram an unblemished from out of the flocks, the value of silver for the trespass offering to the priest. kai exilasetai peri autou ho hiereus peri t s agnoias autou, h s gno sen And shall atone for him the priest for his ignorance of which he was ignorant of, kai autos ouk ÿdei, kai apheth setai autÿ; and he did not know. And it shall be forgiven him, :DEDIL MY@ MY@ 19 : µ µ ¾ E Š 19. asham hu ashom asham layahúwah. Lev5:19 It is a guilt offering; he was certainly guilty before JWJY. 19 ἐπληµµέλησεν γὰρ πληµµέλησιν ἔναντι κυρίου. 19 epl mmel sen gar pl mmel sin enanti kyriou. for he has surely been guilty of transgression before YHWH. HaMiqraot/The Scriptures Torah/Law Hebrew-Greek-English color coded Interlinear edited by Lanny Mebust page 8

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) 1. way daber Yahúwah el-mosheh le mor. Lev4:1 Then JWJY spoke to Mosheh, saying, Chapter 4 Shabbat Torah Reading Schedule (23th sidrah) - Leviticus 4-7 :XN@L DYN-L@

Διαβάστε περισσότερα

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) Chapter 3 AIXWN @ED XWAD-ON M@ EPAXW MINLY GAF-M@E Lev3:1 :DEDI IPTL EPAIXWI MINZ DAWP-M@ XKF-M@ ƒ ¹š µ E š Áµ - ¹ ¹ Ÿ Á š ¹ µƒ ˆ-¹ : É ¹ EM ƒ ¹š µ ¹ Ú ƒ -¹ š ˆ-¹ 1.

Διαβάστε περισσότερα

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) Chapter 1 Shabbat Torah Reading Schedule (22th sidrah) - Leviticus 1-3 :XN@L CREN LD@N EIL@ DEDI XACIE DYN-L@ @XWIE Lev1:1 :š¾ Ÿ ¾ É š Aµ µ ¾ - š ¹Iµ 1. wayiq ra el-mosheh

Διαβάστε περισσότερα

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) Chapter 2 EPAXW DIDI ZLQ DEDIL DGPN OAXW AIXWZ-IK YTPE Lev2:1 :DPAL DILR OZPE ONY DILR WVIE Ÿ Á š ¹ œ ¾ µ ¹ µa š ƒ ¹š µœ- ¹J : ¾ƒ µœ µ 1. w nephesh ki-thaq rib qar

Διαβάστε περισσότερα

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) Chapter 6 1. (5:20 in Heb.) way daber Yahúwah el-mosheh le mor. Lev6:1 Then JWJY spoke to Mosheh, saying, :XN@L DYN-L@ DEDI XACIE 20 :š¾ K ¾ - É š Aµ µ 20 Καὶ ἐλάλησεν

Διαβάστε περισσότερα

Torat Cohanim / Wayyikra (Leviticus) Chapter 1. Shabbat Torah Reading Schedule (22th sidrah) - Leviticus 1-3

Torat Cohanim / Wayyikra (Leviticus) Chapter 1. Shabbat Torah Reading Schedule (22th sidrah) - Leviticus 1-3 Torat Cohanim / Wayyikra (Leviticus) Chapter 1 Shabbat Torah Reading Schedule (22th sidrah) - Leviticus 1-3 :XN@L CREN LD@N EIL@ DEDI XACIE DYN-L@ @XWIE Lev1:1 :š¾ Ÿ ¾ É š Aµ µ ¾ - š ¹Iµ 1. wayiq ra el-mosheh

Διαβάστε περισσότερα

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) Chapter 1 Shabbat Torah Reading Schedule (22th sidrah) - Leviticus 1-3 :XN@L CREN LD@N EIL@ DEDI XACIE DYN-L@ @XWIE Lev1:1 :š¾ Ÿ ¾ É š Aµ µ ¾ - š ¹Iµ 1. wayiq ra el-mosheh

Διαβάστε περισσότερα

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) Chapter 7 :@ED MIYCW YCW MY@D ZXEZ Z@FE Lev7:1 : E ¹ ¾ œµšÿu œ ¾ˆ 1. w zo th torath ha asham qodesh qadashim hu. Lev7:1 Now this is the law of the guilt offering; it

Διαβάστε περισσότερα

: É ¹ ƒ š µ ¹ ¹ U ¾ ¹ µ 2. wayo mer el- Aharon qach-l ak `egel ben-baqar l chata th w ayil l `olah t mimim w haq reb liph ney Yahúwah.

: É ¹ ƒ š µ ¹ ¹ U ¾ ¹ µ 2. wayo mer el- Aharon qach-l ak `egel ben-baqar l chata th w ayil l `olah t mimim w haq reb liph ney Yahúwah. Torat Cohanim / Wayyikra (Leviticus) Chapter 9 :L@XYI IPWFLE EIPALE OXD@L DYN @XW IPINYD MEIA IDIE Lev9:1 : š ā¹ ¹ˆ E ƒ E ¾š¼ µ ¾ š ¹ ¹ Vµ ŸIµA ¹ µ 1. way hi bayom hash mini qara Mosheh l Aharon ul banayu

Διαβάστε περισσότερα

: Š ¾ ƒ ˆ- 2. tsaw eth-b ney Yis ra El wishal chu min-hamachaneh kal-tsaru`a w kal-zab w kol tame lanaphesh.

: Š ¾ ƒ ˆ- 2. tsaw eth-b ney Yis ra El wishal chu min-hamachaneh kal-tsaru`a w kal-zab w kol tame lanaphesh. Chamesh hapekudim / Bemidbar (Numbers) Chapter 5 1. way daber Yahúwah el-mosheh le mor. Num5:1 Then JWJY spoke to Mosheh, saying, :XN@L DYN-L@ DEDI XACIE Num5:1 :š¾ K ¾ - É š Aµ µ 5:1 Καὶ ἐλάλησεν κύριος

Διαβάστε περισσότερα

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) Chapter 6 1. (5:20 in Heb.) way daber Yahúwah el-mosheh le mor. Lev6:1 Then DEDI spoke to Moshe, saying, :XN@L DYN-L@ DEDI XACIE 20 :š¾ K ¾ - É š Aµ µ 20 Καὶ ἐλάλησεν

Διαβάστε περισσότερα

Torat Cohanim / Wayyikra (Leviticus) Chapter 1. Shabbat Torah Reading Schedule (22th sidrah) - Leviticus 1-3

Torat Cohanim / Wayyikra (Leviticus) Chapter 1. Shabbat Torah Reading Schedule (22th sidrah) - Leviticus 1-3 Torat Cohanim / Wayyikra (Leviticus) Chapter 1 Shabbat Torah Reading Schedule (22th sidrah) - Leviticus 1-3 :XN@L CREN LD@N EIL@ DEDI XACIE DYN-L@ @XWIE Lev1:1 :š¾ Ÿ ¾ É š Aµ µ ¾ - š ¹Iµ 1. wayiq ra el-mosheh

Διαβάστε περισσότερα

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) Chapter 27 1. way daber Yahúwah el-mosheh le mor. Lev27:1 And JWJY spoke to Mosheh, saying, :XN@L DYN-L@ DEDI XACIE Lev27:1 :š¾ K ¾ - É š Aµ µ 27:1 Καὶ ἐλάλησεν κύριος

Διαβάστε περισσότερα

I am. Present indicative

I am. Present indicative εἰμί eimi Present indicative εἰμί εἶ ἐστί(ν) ἐσμέν ἐστέ εἰσί(ν) John 3:28 εἰμὶ ἐγὼ ὁ χριστός eimi ego ho christos John 3:28 εἰμὶ ἐγὼ ὁ χριστός eimi ego ho christos the Christ John 1:19 Σὺτίςεἶ; Su tis

Διαβάστε περισσότερα

:Eœº ͵ É - ¹ œ ƒ š A

:Eœº ͵ É - ¹ œ ƒ š A Torat Cohanim / Wayyikra (Leviticus) Chapter 16 OXD@ IPA IPY ZEN IXG@ DYN-L@ DEDI XACIE Lev16:1 :EZNIE DEDI-IPTL MZAXWA ¾š¼ µ A œÿ š¼ µ ¾ - É š Aµ µ :Eœº ͵ É - ¹ œ ƒ š A 1. way daber Yahúwah el-mosheh

Διαβάστε περισσότερα

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) Chapter 22 1. way daber Yahúwah el-mosheh le mor. Lev22:1 Then JWJY spoke to Mosheh, saying, :XN@L DYN-L@ DEDI XACIE Lev22:1 :š¾ K ¾ - É š Aµ µ 22:1 Καὶ ἐλάλησεν κύριος

Διαβάστε περισσότερα

Chamesh hapekudim / Bemidbar (Numbers)

Chamesh hapekudim / Bemidbar (Numbers) Chamesh hapekudim / Bemidbar (Numbers) Chapter 6 1. way daber Yahúwah el-mosheh le mor. Num6:1 Again JWJY spoke to Mosheh, saying, :XN@L DYN-L@ DEDI XACIE Num6:1 :š¾ K ¾ - É š Aµ µ 6:1 Καὶ ἐλάλησεν κύριος

Διαβάστε περισσότερα

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) Chapter 14 1. way daber Yahúwah el-mosheh le mor. Lev14:1 Then DEDI spoke to Moshe, saying, :XN@L DYN-L@ DEDI XACIE Lev14:1 :š¾ K ¾ - É š Aµ µ 14:1 Καὶ ἐλάλησεν κύριος

Διαβάστε περισσότερα

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) Chapter 14 1. way daber Yahúwah el-mosheh le mor. Lev14:1 Then JWJY spoke to Mosheh, saying, :XN@L DYN-L@ DEDI XACIE Lev14:1 :š¾ K ¾ - É š Aµ µ 14:1 Καὶ ἐλάλησεν κύριος

Διαβάστε περισσότερα

Chamesh hapekudim / Bemidbar (Numbers)

Chamesh hapekudim / Bemidbar (Numbers) Chamesh hapekudim / Bemidbar (Numbers) Chapter 7 Shabbat Torah Reading Schedule (32th sidrah) - Numbers 7-9 EZ@ GYNIE OKYND-Z@ MIWDL DYN ZELK MEIA IDIE Num7:1 GAFND-Z@E EILK-LK-Z@E EZ@ YCWIE :MZ@ YCWIE

Διαβάστε περισσότερα

:¹ ¹ U ƒ¹ - A ¹ā ƒ J 2. wa`asithem `olah l reyach nichoach layahúwah par ben-baqar echad ayil echad k basim b ney-shanah shib `ah t mimim.

:¹ ¹ U ƒ¹ - A ¹ā ƒ J 2. wa`asithem `olah l reyach nichoach layahúwah par ben-baqar echad ayil echad k basim b ney-shanah shib `ah t mimim. Chamesh hapekudim / Bemidbar (Numbers) Chapter 29 MKL DIDI YCW-@XWN YCGL CG@A IRIAYD YCGAE Num29:1 :MKL DIDI DREXZ MEI EYRZ @L DCAR ZK@LN-LK ¹ ¾ - š ¹ ¾ µ A ¹ ¹ƒ Vµ ¾ µƒe : ¹ Eš U Ÿ Eā¼ µœ ¾ ¾ƒ¼ œ - J

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

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

NOTES: OT Reference. Who offers atonement? Who seeks atonement? Text from NASB:1995

NOTES: OT Reference. Who offers atonement? Who seeks atonement? Text from NASB:1995 NES: 1. 2. 3. 4. 5. 6. 7. 8. Gen 6:14 Gen 32:20 Exod 29:33 Exod 29:36 Exod 29:37 Exod 30:10 Exod 30:15 Exod 30:16 Exod 32:30 Lev 1:4 and shall cover [ἀσφαλτόω [כפר it inside and out with pitch. I will

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

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) Chapter 24 1. way daber Yahúwah el-mosheh le mor. Shabbat Torah Reading Schedule (29th sidrah) - Leviticus 24-27 Lev24:1 Then JWJY spoke to Mosheh, saying, :XN@L DYN-L@

Διαβάστε περισσότερα

ANSWERSHEET (TOPIC = DIFFERENTIAL CALCULUS) COLLECTION #2. h 0 h h 0 h h 0 ( ) g k = g 0 + g 1 + g g 2009 =?

ANSWERSHEET (TOPIC = DIFFERENTIAL CALCULUS) COLLECTION #2. h 0 h h 0 h h 0 ( ) g k = g 0 + g 1 + g g 2009 =? Teko Classes IITJEE/AIEEE Maths by SUHAAG SIR, Bhopal, Ph (0755) 3 00 000 www.tekoclasses.com ANSWERSHEET (TOPIC DIFFERENTIAL CALCULUS) COLLECTION # Question Type A.Single Correct Type Q. (A) Sol least

Διαβάστε περισσότερα

1 John 5. LGNT - September 6, 2019 Page 1. Book Chapter Verse. Word # 1 John Greek. # of words. Numeric value. Interlinear English.

1 John 5. LGNT - September 6, 2019 Page 1. Book Chapter Verse. Word # 1 John Greek. # of words. Numeric value. Interlinear English. Book Chapter Verse Interlinear English Word # 1 John Greek # of letters # of words Numeric value 230501 everyone 01709 ΠΑΣ 3 281 230501 01710 Ο 1 70 230501 believing 01711 ΠΙΣΤΕΥΩΝ 8 1845 230501 that 01712

Διαβάστε περισσότερα

Sefer Yetziat Mitsrayim / Shemot (Exodus)

Sefer Yetziat Mitsrayim / Shemot (Exodus) Sefer Yetziat Mitsrayim / Shemot (Exodus) Chapter 29 ODKL MZ@ YCWL MDL DYRZ-XY@ XACD DFE Ex29:1 :MNINZ MIPY MLI@E XWA-OA CG@ XT GWL IL µ œ¾ Cµ ā¼ µu-š ¼ š ƒćµ ˆ :¹ ¹ U ¹ µ ¹ š Á- A šµp µ ¹ 1. w zeh hadabar

Διαβάστε περισσότερα

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) Chapter 10 Y@ ODA EPZIE EZZGN YI@ @EDIA@E ACP OXD@-IPA EGWIE Lev10:1 :MZ@ DEV @L XY@ DXF Y@ DEDI IPTL EAIXWIE ZXHW DILR ENIYIE ƒ E U¹Iµ ŸœÚ µ ¹ E ¹ƒ¼ µ ƒ ¾š¼ µ - ƒ

Διαβάστε περισσότερα

:œÿš Mµ œµ ƒ¹ Eš ¹ šÿ Ļµ P E - 2. daber el- Aharon w amar at elayu b ha`aloth ak eth-haneroth el-mul p ney ham norah ya iru shib `ath haneroth.

:œÿš Mµ œµ ƒ¹ Eš ¹ šÿ Ļµ P E - 2. daber el- Aharon w amar at elayu b ha`aloth ak eth-haneroth el-mul p ney ham norah ya iru shib `ath haneroth. Chamesh hapekudim / Bemidbar (Numbers) Chapter 8 1. way daber Yahúwah el-mosheh le mor. Num8:1 Then JWJY spoke to Mosheh, saying, :XN@L DYN-L@ DEDI XACIE Num8:1 :š¾ K ¾ - É š Aµ µ 8:1 Καὶ ἐλάλησεν κύριος

Διαβάστε περισσότερα

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) Chapter 21 Shabbat Torah Reading Schedule (28th sidrah) - Leviticus 21-23 OXD@ IPA MIPDKD-L@ XN@ DYN-L@ DEDI XN@IE Lev21:1 :EINRA @NHI-@L YTPL MDL@ ZXN@E ¾š¼ µ A ¹

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

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

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) Chapter 10 Y@ ODA EPZIE EZZGN YI@ @EDIA@E ACP OXD@-IPA EGWIE Lev10:1 :MZ@ DEV @L XY@ DXF Y@ DEDI IPTL EAIXWIE ZXHW DILR ENIYIE ƒ E U¹Iµ ŸœÚ µ ¹ E ¹ƒ¼ µ ƒ ¾š¼ µ - ƒ

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

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

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

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

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

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

Torat Cohanim / Wayyikra (Leviticus)

Torat Cohanim / Wayyikra (Leviticus) Torat Cohanim / Wayyikra (Leviticus) 1. way daber Yahúwah el-mosheh le mor. Chapter 8 Shabbat Torah Reading Schedule (24th sidrah) - Leviticus 8-11 Lev8:1 Then JWJY spoke to Mosheh, saying, :XN@L DYN-L@

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

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

Chamesh hapekudim / Bemidbar (Numbers)

Chamesh hapekudim / Bemidbar (Numbers) Chamesh hapekudim / Bemidbar (Numbers) Chapter 19 :XN@L OXD@-L@E DYN-L@ DEDI XACIE Num19:1 :š¾ ¾š¼ µ - ¾ - É š Aµ µ 1. way daber Yahúwah el-mosheh w el- Aharon le mor. Num19:1 Then JWJY spoke to Mosheh

Διαβάστε περισσότερα

Math221: HW# 1 solutions

Math221: HW# 1 solutions Math: HW# solutions Andy Royston October, 5 7.5.7, 3 rd Ed. We have a n = b n = a = fxdx = xdx =, x cos nxdx = x sin nx n sin nxdx n = cos nx n = n n, x sin nxdx = x cos nx n + cos nxdx n cos n = + sin

Διαβάστε περισσότερα

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

Sefer Bet Melachim (2 Kings)

Sefer Bet Melachim (2 Kings) Sefer Bet Melachim (2 Kings) Chapter 16 EDILNX-OA GWTL DPY DXYR-RAY ZPYA 2Ki16:1 :DCEDI JLN MZEI-OA FG@ JLN E µ š- A µ š ā - µƒ œµ ¹A : E œÿ - A ˆ µ 1. bish nath sh ba`-`es reh shanah l Pheqach ben-r mal

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

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

LESSON 12 (ΜΑΘΗΜΑ ΔΩΔΕΚΑ) REF : 202/055/32-ADV. 4 February 2014

LESSON 12 (ΜΑΘΗΜΑ ΔΩΔΕΚΑ) REF : 202/055/32-ADV. 4 February 2014 LESSON 12 (ΜΑΘΗΜΑ ΔΩΔΕΚΑ) REF : 202/055/32-ADV 4 February 2014 Somewhere κάπου (kapoo) Nowhere πουθενά (poothena) Elsewhere αλλού (aloo) Drawer το συρτάρι (sirtari) Page η σελίδα (selida) News τα νέα (nea)

Διαβάστε περισσότερα

Sefer Yetziat Mitsrayim / Shemot (Exodus)

Sefer Yetziat Mitsrayim / Shemot (Exodus) Sefer Yetziat Mitsrayim / Shemot (Exodus) 1. way daber Yahúwah el-mosheh le mor. Ex40:1 Then JWJY spoke to Mosheh, saying, Chapter 40 :XN@L DYN-L@ DEDI XACIE Ex40:1 :š¾ K ¾ - É š Aµ µ 40:1 Καὶ ἐλάλησεν

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

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

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

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

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

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

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

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

I Feel Pretty VOIX. MARIA et Trois Filles - N 12. BERNSTEIN Leonard Adaptation F. Pissaloux. ι œ. % α α α œ % α α α œ. œ œ œ. œ œ œ œ. œ œ. œ œ ƒ.

I Feel Pretty VOIX. MARIA et Trois Filles - N 12. BERNSTEIN Leonard Adaptation F. Pissaloux. ι œ. % α α α œ % α α α œ. œ œ œ. œ œ œ œ. œ œ. œ œ ƒ. VOX Feel Pretty MARA et Trois Filles - N 12 BERNSTEN Leonrd Adpttion F. Pissloux Violons Contrebsse A 2 7 2 7 Allegro qd 69 1 2 4 5 6 7 8 9 B 10 11 12 1 14 15 16 17 18 19 20 21 22 2 24 C 25 26 27 28 29

Διαβάστε περισσότερα

Policy Coherence. JEL Classification : J12, J13, J21 Key words :

Policy Coherence. JEL Classification : J12, J13, J21 Key words : ** 80%1.89 2005 7 35 Policy Coherence JEL Classification : J12, J13, J21 Key words : ** Family Life and Family Policy in France and Germany: Implications for Japan By Tomoko Hayashi and Rieko Tamefuji

Διαβάστε περισσότερα

Οδηγίες Αγοράς Ηλεκτρονικού Βιβλίου Instructions for Buying an ebook

Οδηγίες Αγοράς Ηλεκτρονικού Βιβλίου Instructions for Buying an ebook Οδηγίες Αγοράς Ηλεκτρονικού Βιβλίου Instructions for Buying an ebook Βήμα 1: Step 1: Βρείτε το βιβλίο που θα θέλατε να αγοράσετε και πατήστε Add to Cart, για να το προσθέσετε στο καλάθι σας. Αυτόματα θα

Διαβάστε περισσότερα

«ΨΥΧΙΚΗ ΥΓΕΙΑ ΚΑΙ ΣΕΞΟΥΑΛΙΚΗ» ΠΑΝΕΥΡΩΠΑΪΚΗ ΕΡΕΥΝΑ ΤΗΣ GAMIAN- EUROPE

«ΨΥΧΙΚΗ ΥΓΕΙΑ ΚΑΙ ΣΕΞΟΥΑΛΙΚΗ» ΠΑΝΕΥΡΩΠΑΪΚΗ ΕΡΕΥΝΑ ΤΗΣ GAMIAN- EUROPE «ΨΥΧΙΚΗ ΥΓΕΙΑ ΚΑΙ ΣΕΞΟΥΑΛΙΚΗ» ΠΑΝΕΥΡΩΠΑΪΚΗ ΕΡΕΥΝΑ ΤΗΣ GAMIAN- EUROPE We would like to invite you to participate in GAMIAN- Europe research project. You should only participate if you want to and choosing

Διαβάστε περισσότερα

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

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

Δημιουργία Λογαριασμού Διαχείρισης Business Telephony Create a Management Account for Business Telephony

Δημιουργία Λογαριασμού Διαχείρισης Business Telephony Create a Management Account for Business Telephony Δημιουργία Λογαριασμού Διαχείρισης Business Telephony Create a Management Account for Business Telephony Ελληνικά Ι English 1/7 Δημιουργία Λογαριασμού Διαχείρισης Επιχειρηματικής Τηλεφωνίας μέσω της ιστοσελίδας

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

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

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

Z L L L N b d g 5 * " # $ % $ ' $ % % % ) * + *, - %. / / + 3 / / / / + * 4 / / 1 " 5 % / 6, 7 # * $ 8 2. / / % 1 9 ; < ; = ; ; >? 8 3 " #

Z L L L N b d g 5 *  # $ % $ ' $ % % % ) * + *, - %. / / + 3 / / / / + * 4 / / 1  5 % / 6, 7 # * $ 8 2. / / % 1 9 ; < ; = ; ; >? 8 3  # Z L L L N b d g 5 * " # $ % $ ' $ % % % ) * + *, - %. / 0 1 2 / + 3 / / 1 2 3 / / + * 4 / / 1 " 5 % / 6, 7 # * $ 8 2. / / % 1 9 ; < ; = ; ; >? 8 3 " # $ % $ ' $ % ) * % @ + * 1 A B C D E D F 9 O O D H

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

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

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

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

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

I haven t fully accepted the idea of growing older

I haven t fully accepted the idea of growing older I haven t fully accepted the idea of growing older 1 Peter Authorship Questions Πέτρος ἀπόστολος Ἰησοῦ Χριστοῦ ἐκλεκτοῖς παρεπιδήμοις διασπορᾶς Πόντου, Γαλατίας, Καππαδοκίας, Ἀσίας 1 Peter Authorship

Διαβάστε περισσότερα

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

:E ¾U D œ¾ AµA 3. kol maph reseth par sah w shosa`ath shesa` p rasoth ma`alath gerah bab hemah othah to kelu.

:E ¾U D œ¾ AµA 3. kol maph reseth par sah w shosa`ath shesa` p rasoth ma`alath gerah bab hemah othah to kelu. Torat Cohanim / Wayyikra (Leviticus) Chapter 11 :MDL@ XN@L OXD@-L@E DYN-L@ DEDI XACIE Lev11:1 : ¼ š¾ ¾š¼ µ - ¾ - É š Aµ µ 1. way daber Yahúwah el-mosheh w el- Aharon le mor alehem. Lev11:1 JWJY spoke again

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

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

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

Mock Exam 7. 1 Hong Kong Educational Publishing Company. Section A 1. Reference: HKDSE Math M Q2 (a) (1 + kx) n 1M + 1A = (1) =

Mock Exam 7. 1 Hong Kong Educational Publishing Company. Section A 1. Reference: HKDSE Math M Q2 (a) (1 + kx) n 1M + 1A = (1) = Mock Eam 7 Mock Eam 7 Section A. Reference: HKDSE Math M 0 Q (a) ( + k) n nn ( )( k) + nk ( ) + + nn ( ) k + nk + + + A nk... () nn ( ) k... () From (), k...() n Substituting () into (), nn ( ) n 76n 76n

Διαβάστε περισσότερα

Ειδικό πρόγραμμα ελέγχου για τον ιό του Δυτικού Νείλου και την ελονοσία, ενίσχυση της επιτήρησης στην ελληνική επικράτεια (MIS 365280)

Ειδικό πρόγραμμα ελέγχου για τον ιό του Δυτικού Νείλου και την ελονοσία, ενίσχυση της επιτήρησης στην ελληνική επικράτεια (MIS 365280) «Ειδικό πρόγραμμα ελέγχου για τον ιό του Δυτικού Νείλου και την ελονοσία, ενίσχυση της επιτήρησης στην ελληνική επικράτεια» Παραδοτέο Π1.36 Έκδοση ενημερωτικών φυλλαδίων Υπεύθυνος φορέας: Κέντρο Ελέγχου

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

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

Torat Cohanim / Wayyikra (Leviticus) Chapter 18. Shabbat Torah Reading Schedule (27th sidrah) - Leviticus 18-20

Torat Cohanim / Wayyikra (Leviticus) Chapter 18. Shabbat Torah Reading Schedule (27th sidrah) - Leviticus 18-20 Torat Cohanim / Wayyikra (Leviticus) Chapter 18 1. way daber Yahúwah el-mosheh le mor. Shabbat Torah Reading Schedule (27th sidrah) - Leviticus 18-20 Lev18:1 Then JWJY spoke to Mosheh, saying, :XN@L DYN-L@

Διαβάστε περισσότερα

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

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

Διαβάστε περισσότερα

Potential Dividers. 46 minutes. 46 marks. Page 1 of 11

Potential Dividers. 46 minutes. 46 marks. Page 1 of 11 Potential Dividers 46 minutes 46 marks Page 1 of 11 Q1. In the circuit shown in the figure below, the battery, of negligible internal resistance, has an emf of 30 V. The pd across the lamp is 6.0 V and

Διαβάστε περισσότερα

MathCity.org Merging man and maths

MathCity.org Merging man and maths MathCity.org Merging man and maths Exercise 10. (s) Page Textbook of Algebra and Trigonometry for Class XI Available online @, Version:.0 Question # 1 Find the values of sin, and tan when: 1 π (i) (ii)

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

Volume of a Cuboid. Volume = length x breadth x height. V = l x b x h. The formula for the volume of a cuboid is

Volume of a Cuboid. Volume = length x breadth x height. V = l x b x h. The formula for the volume of a cuboid is Volume of a Cuboid The formula for the volume of a cuboid is Volume = length x breadth x height V = l x b x h Example Work out the volume of this cuboid 10 cm 15 cm V = l x b x h V = 15 x 6 x 10 V = 900cm³

Διαβάστε περισσότερα

Business Opening. Very formal, recipient has a special title that must be used in place of their name

Business Opening. Very formal, recipient has a special title that must be used in place of their name - Opening Αξιότιμε κύριε Πρόεδρε, Αξιότιμε κύριε Πρόεδρε, Very formal, recipient has a special title that must be used in place of their name Αγαπητέ κύριε, Formal, male recipient, name unknown Αγαπητή

Διαβάστε περισσότερα

ECON 381 SC ASSIGNMENT 2

ECON 381 SC ASSIGNMENT 2 ECON 8 SC ASSIGNMENT 2 JOHN HILLAS UNIVERSITY OF AUCKLAND Problem Consider a consmer with wealth w who consmes two goods which we shall call goods and 2 Let the amont of good l that the consmer consmes

Διαβάστε περισσότερα

Βιβλική Αρχαιολογία - Θεσμολογία

Βιβλική Αρχαιολογία - Θεσμολογία Βιβλική Αρχαιολογία - Ενότητα 3.1: Θωμάς Μαυρομούστακος Θεολογική Σχολή Τμήμα Κοινωνικής Θεολογίας ΘΕΣΜΟΛΟΓΙΑ ΟΙ ΘΡΗΣΚΕΥΤΙΚΟΙ ΘΕΣΜΟΙ ΤΟΥ ΒΙΒΛΙΚΟΥ ΙΣΡΑΗΛ ΤΟ ΙΕΡΑΤΕΙΟ 1 3 ΟΙ ΛΕΥΙΤΕΣ 2 4 ΟΙ ΛΕΥΙΤΕΣ [2] ΜΕΛΗ

Διαβάστε περισσότερα

Sefer Aleph Dibre Hayyamim (Chronicles)

Sefer Aleph Dibre Hayyamim (Chronicles) Sefer Aleph Dibre Hayyamim (Chronicles) Chapter 17 EZIAA CIEC AYI XY@K IDIE 1Chr17:1 MIFX@D ZIAA AYEI IKP@ DPD @IAPD OZP-L@ CIEC XN@IE :ZERIXI ZGZ DEDI-ZIXA OEX@E Ÿœ ƒ A ¹ Ć ƒµ š ¼ µj ¹ µ ¹ˆ š¼ œ ƒ A ƒ

Διαβάστε περισσότερα

ΕΤΟΣ 61 ο Μάρτιος - Απρίλιος 2015 Ἀρ. 608

ΕΤΟΣ 61 ο Μάρτιος - Απρίλιος 2015 Ἀρ. 608 ΕΤΟΣ 61 ο Μάρτιος - Απρίλιος 2015 Ἀρ. 608 ΤΗΣ ΕΛΛΗΝΙΔΟΣ m «25η Μαρτίου. Ἡ διπλή μας ἑορτή» m «Ὁ ρόλος τῆς γυναίκας στὴ σημερινὴ κοινωνία» m «Σωματικὰ καὶ ψυχικὰ ὀφέλη τῆς νηστείας» m «Ἀνατρέφοντας τὰ παιδιά

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

Pg The perimeter is P = 3x The area of a triangle is. where b is the base, h is the height. In our case b = x, then the area is

Pg The perimeter is P = 3x The area of a triangle is. where b is the base, h is the height. In our case b = x, then the area is Pg. 9. The perimeter is P = The area of a triangle is A = bh where b is the base, h is the height 0 h= btan 60 = b = b In our case b =, then the area is A = = 0. By Pythagorean theorem a + a = d a a =

Διαβάστε περισσότερα