http://phoenix.sce.fct.unl.pt/modellus

∆Ô ÏÔÁÈÛÌÈÎfi Modellus ‰›ÓÂÈ ÙË ‰˘Ó·ÙfiÙËÙ· Û ̷ıËÙ¤˜ Ó· ηٷÛ΢¿ÛÔ˘Ó Ì·ıËÌ·ÙÈο ÌÔ-Ó٤Ϸ Ì ‰È·ÏÔÁÈÎfi ÙÚfiÔ.

∏ ‰ËÌÈÔ˘ÚÁ›· Î·È Ë ‰ÈÂÚ‡ÓËÛË Ì·ıËÌ·ÙÈÎÒÓ ÌÔÓÙ¤ÏˆÓ Â›Ó·È ÌÈ· ıÂÌÂÏÈ҉˘ ÂÈÛÙËÌÔÓÈ΋ÂÚÁ·Û›·. ªÂ ÙÔ Modellus ÔÈ Ì·ıËÙ¤˜ ·ÔÎÙÔ‡Ó ÚÔÛˆÈ΋ Ì·ıËÛȷ΋ ÂÌÂÈÚ›· ‰ËÌÈÔ˘Ú-ÁÒÓÙ·˜ Ì·ıËÌ·ÙÈο ÌÔÓ٤Ϸ ÛÙÔÓ ËÏÂÎÙÚÔÓÈÎfi ˘ÔÏÔÁÈÛÙ‹ Ì ÙÚfiÔ ‰È·ÏÔÁÈÎfi. ªÔÚÔ‡Ó›Û˘ Ó· ·Ó·Ï‡ÛÔ˘Ó Ù· ÌÔÓ٤Ϸ Î·È Ó· ηٷÛ΢¿ÛÔ˘Ó ÚÔÛÔÌÔÈÒÛÂȘ ÙˆÓ ÌÔÓÙ¤ÏˆÓ ÙÔ˘˜.

√È Ì·ıËÙ¤˜ ÂÈÛ¿ÁÔ˘Ó Ù˘ÈΤ˜ Ì·ıËÌ·ÙÈΤ˜ ÂÍÈÛÒÛÂȘ Î·È ÂÎÊÚ¿ÛÂȘ ÁÈ· Ó· ηٷÛ΢¿ÛÔ˘Ó¤Ó· ÌÔÓÙ¤ÏÔ.

∂Í›ÛÔ˘ ·Ï¿ ηٷÛ΢¿˙ÂÙ·È Î·È Ë ÚÔÛÔÌÔ›ˆÛË ÂÓfi˜ ÌÔÓÙ¤ÏÔ˘: ÂÈϤÁÔÓÙ·È Ù· Û¯ÂÙÈο·ÓÙÈΛÌÂÓ·, fiˆ˜ ÂÈÎfiÓ˜ ‹ ‰È·Ó‡ÛÌ·Ù· Î·È ÔÚ›˙ÔÓÙ·È ÔÈ ÂοÛÙÔÙ ȉÈfiÙËÙ˜ ÙÔ˘˜ fiˆ˜ Ë ı¤-ÛË ‹ ÙÔ Ì¤ÁÂıÔ˜.

¶›Ó·Î˜ Î·È ÁÚ·Ê‹Ì·Ù· ηٷÛ΢¿˙ÔÓÙ·È Ì ÙÔ ¿ÙËÌ· ÂÓfi˜ Ï‹ÎÙÚÔ˘ ¯¿ÚË ÛÙËÓ Ôχ ÊÈ-ÏÈ΋ ‰È·ʋ ‚·ÛÈṲ̂ÓË ÛÙËÓ ÔÈΛ· ‰È·ʋ ÙˆÓ Windows!

ªÔÚ›Ù ӷ ¯ÚËÛÈÌÔÔÈ‹ÛÂÙ ÙÔ Modellus Û·Ó ‰ÈÂÚ¢ÓËÙÈÎfi ÂÚÈ‚¿ÏÏÔÓ ‹ Û·Ó ÂÚÁ·Ï›ÔÛ˘ÁÁÚ·Ê‹˜. ∂ÈÙÚ¤ÂÈ ÙËÓ ·fiÎÚ˘„Ë Î·È ÙËÓ ÚÔÛÙ·Û›· ÙˆÓ ÌÔÓ٤ψÓ. ∆Ô ÏÔÁÈÛÌÈÎfi ‰È·-ı¤ÙÂÈ ¤ÙÔÈÌ· ‰È·ÏÔÁÈο ÌÔÓ٤Ϸ Ù· ÔÔ›· ÂÂÍËÁÔ‡Ó ÔÏϤ˜ ÂÈÛÙËÌÔÓÈΤ˜ ¤ÓÓÔȘ.

∆Ô Modellus ¤¯ÂÈ Û¯Â‰È·ÛÙ› Ì ‚¿ÛË ÙËÓ ÂÈÛÙËÌÔÓÈ΋ Î·È Ì·ıËÌ·ÙÈ΋ ÂÎ·È‰Â˘ÙÈ΋ ¤Ú¢-Ó·. ÀÔÛÙËÚ›˙ÂÈ ÙËÓ ÂÔÈÎÔ‰ÔÌËÙÈ΋ Î·È ‰ÈÂÚ¢ÓËÙÈ΋ ÚÔÛ¤ÁÁÈÛË ÛÙË Ì¿ıËÛË ·Ú¤¯ÔÓÙ·˜ÛÙÔ˘˜ ηıËÁËÙ¤˜ Î·È ÙÔ˘˜ Ì·ıËÙ¤˜ ¤Ó· ÈÛ¯˘Úfi ÂÚÁ·ÏÂ›Ô ÁÈ· ÙËÓ ÂÎÌ¿ıËÛË ÙˆÓ Ì·ıËÌ·ÙÈÎÒÓÎ·È ÙˆÓ Ê˘ÛÈÎÒÓ ÂÈÛÙËÌÒÓ.

ModellusTM

2.5 2002

¢È·ÏÔÁÈ΋ ηٷÛ΢‹ ÌÔÓÙ¤ÏˆÓ Ì¯ڋÛË ª·ıËÌ·ÙÈÎÒÓ

“∏ ‰˘Ó·ÙfiÙËÙ· ÚfiÛ‚·Û˘ Î·È ÙÚÔÔÔ›ËÛ˘ ÙˆÓÂÍÈÛÒÛÂˆÓ (...) ηıÈÛÙÔ‡Ó ÙÔ Modellus ˆ˜ ÙÔ ÈÔ‰˘Ó·ÌÈÎfi ÚfiÁÚ·ÌÌ· Ô˘ ¤¯Ô˘ÌÂ Û˘Ó·ÓÙ‹ÛÂÈ Ì¤¯ÚÈÛ‹ÌÂÚ·.”Denis Donnely, Computers in Physics (Ô ÙÚ¤¯ˆÓÙ›ÙÏÔ˜ ›ӷÈ: Computers in Science and Engineering,10 (6), ÛÂÏ. 536-537, 1996.ŒÎ‰ÔÛË 1.0, µÚ·‚Â›Ô ÙÔ˘ ¢È·ÁˆÓÈÛÌÔ‡ Computersin Physics Educational Software (1997), Computersin Physics, American Institute of Physics.

÷ڷÎÙËÚÈÛÙÈο¶ÔÏϷϤ˜ ∞Ó··Ú·ÛÙ¿ÛÂȘ ÁÈ· Ù· ªÔÓ٤Ϸ Û·˜¶ÔÏϤ˜ ÊÔÚ¤˜ ÔÈ ÁÚ·ÊÈΤ˜ ·Ó··Ú·ÛÙ¿ÛÂȘ ·Ï¿‰ÂÓ ·ÚÎÔ‡Ó ÁÈ· ÙËÓ Ï‹ÚË Î·Ù·ÓfiËÛË ÔχÏÔΈÓÂÓÓÔÈÒÓ! √È Ì·ıËÙ¤˜ Ú¤ÂÈ Ó· ‰Ô˘Ó ÔÏϤ˜ ·Ó··-Ú·ÛÙ¿ÛÂȘ ÙÔ˘ ȉ›Ô˘ ÌÔÓÙ¤ÏÔ˘ ÁÈ· Ó· ηٷÓÔ‹ÛÔ˘ÓÏ‹Úˆ˜ ÙȘ ‚·ÛÈΤ˜ ·Ú¯¤˜ ÙÔ˘. ∆Ô Modellus Â›Ó·È ÙÔ¢¤ÏÈÎÙÔ ÂÚÁ·ÏÂ›Ô Ô˘ ÚÔ‚¿ÏÏÂÈ Ì·ıËÌ·ÙÈο ÌÔ-Ó٤Ϸ Ì ÔÏÏÔ‡˜ ÙÚfiÔ˘˜: ÎÈÓÔ‡ÌÂÓ˜ ÂÈÎfiÓ˜, ÁÚ·-Ê‹Ì·Ù· Î·È ›Ó·Î˜. √È ÌÔÚʤ˜ ·˘Ù¤˜ ÚÔ‚¿ÏÏÔ-ÓÙ·È Ù·˘Ùfi¯ÚÔÓ· ÛÙËÓ ÔıfiÓË ÙÔ˘ ÏÔÁÈÛÌÈÎÔ‡ ÚÔ-ÛʤÚÔÓÙ·˜ ÙË ‰˘Ó·ÙfiÙËÙ· ÁÈ· ¿ÌÂÛË Û‡ÁÎÚÈÛË.

¶ÚÔ‚ÔÏ‹ ¶ÔÏÏ·ÏÒÓ ¶ÂÚÈÙÒÛˆÓ∆Ô Modellus ·Ú·‚¿ÏÏÂÈ Û˘Á¯ÚfiÓˆ˜ ‰È·ÊÔÚÂÙÈΤ˜ÌÔÚʤ˜ ·Ó··Ú·ÛÙ¿ÛÂˆÓ ‰Â‰ÔÌ¤ÓˆÓ ÂÓÒ ÂÈÙÚ¤ÂÈÛÙÔÓ Ì·ıËÙ‹ Ó· ¯ÚËÛÈÌÔÔÈ› Ù·˘Ùfi¯ÚÔÓ· Î·È ÔÏ-Ï·Ï¿ ‰Â‰Ô̤ӷ. °È· ·Ú¿‰ÂÈÁÌ·, ÌÔÚ› Ô Ì·ıËÙ‹˜Ó· ·Ó·Ï‡ÛÂÈ Ù·˘Ùfi¯ÚÔÓ· ÙËÓ ÙÚԯȿ ÂÓfi˜ ‰ÔÚ˘Êfi-ÚÔ˘ Û ¤Ó· Û‡ÛÙËÌ· ·ÍfiÓˆÓ ¯,„, ÁÈ· ÙÚÂȘ ‰È·ÊÔÚÂ-ÙÈΤ˜ ÛÙ·ıÂÚ¤˜ ‚·Ú‡ÙËÙ·˜ Î·È ÙÚÂȘ ‰È·ÊÔÚÂÙÈΤ˜ ÙÈ-̤˜ ÁÈ· ÙË Ì¿˙· ÙÔ˘ ‰ÔÚ˘ÊfiÚÔ˘.

∞ÏÏËÏ›‰Ú·ÛË ÛÙ· ªÔÓ٤Ϸ Û·˜∆ÒÚ· ÌÔÚ›Ù ӷ ÂȉڿÙ ¿Óˆ ÛÙ· ÌÔÓ٤Ϸ Û·˜Î·È Ó· ‚ϤÂÙ ٷ ·ÔÙÂϤÛÌ·Ù· Û ڷÁÌ·ÙÈÎfi ¯Úfi-ÓÔ, ·ÔÎÔÌ›˙ÔÓÙ·˜ ¿ÌÂÛË ÁÓÒÛË ÙˆÓ Ì·ıËÌ·ÙÈÎÒÓÛÙ· ÔÔ›· ÛÙËÚ›˙ÔÓÙ·È. ∆˘Èο Ì·ıËÌ·ÙÈο ÚÔ-ÁÚ¿ÌÌ·Ù· ÏÂÈÙÔ˘ÚÁÔ‡Ó ˆ˜ ·ÚÈıÌÔÌ˯·Ó¤˜, ·ÓÙÈÌÂ-Ùˆ›˙ÔÓÙ·˜ Ù· ÌÔÓ٤Ϸ ˆ˜ ÛÙ·ÙÈΤ˜ ÔÓÙfiÙËÙ˜. ∫·Ù¿ÙË ‰È¿ÚÎÂÈ· ÌÈ·˜ ÚÔÛÔÌÔ›ˆÛ˘ ÔÈ Ì·ıËÙ¤˜ ÌÔ-ÚÔ‡Ó Ó· Â¤Ì‚Ô˘Ó ·ÏÏ¿˙ÔÓÙ·˜ ÌÂÙ·‚ÏËÙ¤˜ ÁÈ· Ó··Ú·ÙËÚ‹ÛÔ˘Ó ÙÔ ·ÔÙ¤ÏÂÛÌ· ¿Óˆ ÛÙȘ ÚÔÛÔÌÔÈ-ÒÛÂȘ, Ù· ÁÚ·Ê‹Ì·Ù· Î·È ÙÔ˘˜ ›Ó·Î˜.

∂˘ÎÔÏ›· ÛÙËÓ ∂ÎÌ¿ıËÛË Î·È ÛÙË ÃÚ‹ÛË∆Ô Modellus Û·˜ ÂÈÙÚ¤ÂÈ Ó· ÂÈÛ¿ÁÂÙ ¤Ó· Ì·ıËÌ·-ÙÈÎfi ÌÔÓÙ¤ÏÔ Ì ÙËÓ ›‰È· ¢ÎÔÏ›· Ô˘ ÁÚ¿ÊÂÙ ¤Ó·Ì·ıËÌ·ÙÈÎfi Ù‡Ô ÛÙÔ ¯·ÚÙ›. ŒÙÛÈ Ô Ì·ıËÙ‹˜ ‰ÂÓ Â›-Ó·È ·Ó·ÁηṲ̂ÓÔ˜ Ó· ÂÂÓ‰‡ÛÂÈ ÔχÙÈÌÔ ¯ÚfiÓÔÛÙËÓ ÂÎÌ¿ıËÛË ÔχÏÔÎˆÓ ‰È·ÁÚ·ÌÌ¿ÙˆÓ ‹ ÛÙȘÂÍÂȉÈÎÂ˘Ì¤Ó˜ ÁÏÒÛÛ˜ ÚÔÁÚ·ÌÌ·ÙÈÛÌÔ‡ Ô˘˘¿Ú¯Ô˘Ó Û ¿ÏÏ· ÚÔÁÚ¿ÌÌ·Ù· ÌÔÓÙÂÏÔÔ›ËÛ˘.

∆Ô ÌÔÓÙ¤ÏÔ Ô˘ ÂÌÊ·Ó›˙ÂÙ·È ÛÙÔ ·Ú¿ı˘ÚÔ“ªÔÓÙ¤ÏÔ” ‚·Û›˙ÂÙ·È Û ÌÂÙÚ‹ÛÂȘ Ù˘ ʈ-ÙÔÁÚ·Ê›·˜. ∏ ÚÔÛÔÌÔ›ˆÛË Ô˘ ηٷÛ΢-¿ÛÙËΠ·fi ÙÔ Ì·ıËÌ·ÙÈÎfi ÌÔÓÙ¤ÏÔ ÚÔ-‚¿ÏÏÂÙ·È ¿Óˆ ÛÙË ÊˆÙÔÁÚ·Ê›·. ∂ÈϤÔÓ,·ÚÔ˘ÛÈ¿˙ÔÓÙ·È Î·È ‰‡Ô ÁÚ·Ê‹Ì·Ù·.

¶ÚԉȷÁڷʤ˜ ™˘ÛÙ‹Ì·ÙÔ˜

Windows(r) 95 ‹ ÌÂÙ·ÁÂÓ¤ÛÙÂÚ·. 16 MB RAM Î·È 44 ªB ‰È·ı¤ÛÈÌÔ˘¯ÒÚÔ˘ ÛÙÔÓ ÛÎÏËÚfi Û·˜ ‰›ÛÎÔ.

Õ‰ÂÈ· ÃÚ‹Û˘

To Modellus ‰È·Ù›ıÂÙ·È ÂχıÂÚ· ÁÈ·ÂÎ·È‰Â˘ÙÈ΋ ¯Ú‹ÛË. ∞·ÁÔÚ‡ÂÙ·ÈË ÒÏËÛË ÙÔ˘, Û οı ÂÚ›ÙˆÛË.

¢È·Ù›ıÂÙ·È ÙÂÎÌËÚ›ˆÛË Î·È ÂΉfiÛÂȘÙÔ˘ ÏÔÁÈÛÌÈÎÔ‡ ÛÙȘ ÂÍ‹˜ ÁÏÒÛÛ˜:∞ÁÁÏÈο, ¶ÔÚÙÔÁ·ÏÈο, ∂ÏÏËÓÈο,√ÏÏ·Ó‰Èο, πÛ·ÓÈο, °ÂÚÌ·ÓÈο,¶ÔψÓÈο, ™ÏÔ‚¿ÎÈη, ƒˆÛÈο.

http://phoenix.sce.fct.unl.pt/modellus

∆Ô ÌÔÓÙ¤ÏÔ ·˘Ùfi ·Ó··ÚÈÛÙ¿ÓÂÈ ¤Ó· ·̷ Î·È ÙÔ˘˜ ‰Â›ÎÙ˜ Ê¿Û˘(phasors) Ô˘ ¯ÚËÛÈÌÔÔÈÔ‡ÓÙ·È ÁÈ· ÙËÓ ÂÚÈÁÚ·Ê‹ ÙÔ˘ ‡ÚÔ˘˜Î·È Ù˘ Ê¿Û˘. ∆Ô ÌÔÓÙ¤ÏÔ ·˘Ùfi Â›Ó·È ¤Ó· ·fi Ù· ÂηÙfi Î·È Ï¤ÔÓÌÔÓ٤Ϸ Ô˘ ηٷÛ΢¿ÛÙËÎ·Ó ÁÈ· ÙË ÛÂÈÚ¿ Ì·ıËÌ¿ÙˆÓAdvancing Physics (AS and A2), ÙÌ‹Ì· ÙÔ˘ ÚÔÁÚ¿ÌÌ·ÙÔ˜Advancing Physics (Institute of Physics ÛÙÔ ∏ӈ̤ÓÔ µ·Û›ÏÂÈÔ). ToModellus ·ÔÙÂÏ› ¤Ó· ·Ó·fiÛ·ÛÙÔ ÂÚÁ·ÏÂ›Ô ÁÈ· ÙË Û˘ÁÎÂÎÚÈ̤-ÓË ÛÂÈÚ¿ Ì·ıËÌ¿ÙˆÓ.

¢ÈÂÚ¢ÓÒÓÙ·˜ ÙË ¯·ÔÙÈ΋ Û˘ÌÂÚÈÊÔÚ¿. ∆Ô ÌÔÓÙ¤ÏÔ ·˘Ùfi ›ӷȤӷ ·fi Ù· ‰Âο‰Â˜ Ô˘ ηٷÛ··Û·Ó ÔÈ Eliane Veit Î·È PauloMors ÛÙÔ Ï·›ÛÈÔ Ì·ı‹Ì·ÙÔ˜ ÙÔ˘ ÚÒÙÔ˘ ¤ÙÔ˘˜ ·ÓÂÈÛÙËÌÈ·ÎÒÓÛÔ˘‰ÒÓ Ô˘ Û˘Ó‰¤ÂÈ ÙË Ì·ıËÌ·ÙÈ΋ ·Ó¿Ï˘ÛË Î·È ÙË Ê˘ÛÈ΋.

ŒÓ· ÌÔÓÙ¤ÏÔ ÁÈ· ÙËÓ ·Ó¿‰ÚÔÌË Î›ÓËÛË Ô˘ ηٷÛ΢¿ÛÙËΠ·fiÌ·ıËÙ‹ Á˘ÌÓ·Û›Ô˘ ÁÈ· Ó· ‰Â›ÍÂÈ ˆ˜ Ô ÕÚ˘ ÌÔÚ› Ó· ÎÈÓ›ٷȷӿԉ·, fiÙ·Ó ·Ú·ÙËÚÂ›Ù·È Ë Î›ÓËÛ‹ ÙÔ˘ ·fi ÙË °Ë.

ModellusTM

2.5 2002

“∏ ‰ËÌÈÔ˘ÚÁ›· ÂÓfi˜ ÎfiÛÌÔ˘ Î·È Ë ·Ú·Ù‹ÚËÛË Ù˘ ÂͤÏÈÍ‹˜ ÙÔ˘ ›ӷÈÌÈ· ÌÔÓ·‰È΋ ÂÌÂÈÚ›·. ª·˜ ‰È‰¿ÛÎÂÈ ÙË ÛËÌ·Û›· ÂÓfi˜ ÌÔÓÙ¤ÏÔ˘ Ù˘ڷÁÌ·ÙÈÎfiÙËÙ·˜, ‰ËÏ·‰‹ Ù˘ ›‰È·˜ Ù˘ ÛΤ„˘. ªÔÚ› Ó· ηٷ‰Â›ÍÂÈfiÛÔ Î·Ï¿, ·ÏÏ¿ Î·È fiÛÔ Ï·Óı·Ṳ̂ӷ ÌÔÚ› Ó· Â›Ó·È Ù· ÌÔÓ٤Ϸ ·˘Ù¿.∫È ÂÓÒ ·˘Ùfi Á›ÓÂÙ·È ¤Ó· „˘¯·ÁˆÁÈÎfi ·È¯Ó›‰È, ÌÔÚ› Ó· ·ÔÙÂϤÛÂÈ ÙËÓ··Ú¯‹ Ù˘ ηı·Ú¿ ıˆÚËÙÈ΋˜ ÛΤ„˘ ÂÚ› ÌÔÚÊ‹˜”. Jon Ogborn.

“√È ÂÈÛÙËÌÔ-ÓÈÎÔ› ˘ÔÏÔ-ÁÈÛÌÔ› ·ÔÙÂ-ÏÔ‡Ó Ï¤ÔÓ·Ó·fiÛ·ÛÙÔÙÌ‹Ì· Ù˘ η-ı Ë Ì Â Ú È Ó ‹ ˜ÂÈÛÙËÌÔÓÈ-΋˜ Î·È Ì˯·-ÓÈ΋˜ Ú·ÎÙÈ-΋˜, Û ٤ÙÔÈÔ‚·ıÌfi ÒÛÙÂÓ· ıˆÚÔ‡-ÓÙ·È Ë ÙÚ›ÙËıÂÌÂÏÈ҉˘ÂÈÛÙËÌÔÓÈ΋ÌÂıÔ‰ÔÏÔÁ›· -

Ì·˙› Ì ٷ ηıÈÂڈ̤ӷ ·Ú·‰Â›ÁÌ·Ù· Ù˘ ÂÈÚ·Ì·ÙÈ΋˜ Î·È ıˆÚËÙÈ΋˜ÂÈÛÙ‹Ì˘.” National Research Council (1989). Everybody counts. √˘¿-ÛÈÓÁÎÙÔÓ: National Academy of Sciences, ÛÂÏ. 36.

∆Ô ÌÔÓÙ¤ÏÔ ÂÓfi˜ÂÎÎÚÂÌÔ‡˜ Ô˘Î·Ù·Û΢¿ÛÙËηfi Ì›· ‚ÈÓÙÂÔ-Ù·ÈÓ›·. ∆Ô CDÙÔ˘ ModellusÂÚÈÏ·Ì‚¿ÓÂÈ159 ‚ÈÓÙÂÔÙ·È-ӛ˜, ¢ÁÂÓ‹ÚÔÛÊÔÚ¿ Ù˘ÂÙ·ÈÚ›·˜ PascoScientific.

∆Ô ÌÔÓÙ¤ÏÔ ÌÈ·˜Ù·Ï¿ÓÙˆÛ˘ Ô˘Î·Ù·Û΢¿ÛÙËηfi ¤Ó· ÁÚ¿ÊË-Ì· Ì ‰Â‰ÔÌ¤Ó·Ô˘ Ï‹ÊıËηӷfi ·ÈÛıËÙ‹Ú˜.∆Ô CD ÙÔ˘Modellus ÂÚÈ-Ï·Ì‚¿ÓÂÈ ÂÚ›-Ô˘ 100 ÁÚ·Ê‹-Ì·Ù· ÁÈ· ÙËÓ·Ó¿Ï˘ÛË ‰Â‰Ô̤-ÓˆÓ.

∆Ô ÌÔÓÙ¤ÏÔ ÌÈ·˜¯ËÌÈ΋˜ ·ÓÙ›-‰Ú·Û˘ Ì ¯Ú‹-ÛË ‰È·ÊÔÚÈ΋˜Â͛ۈÛ˘ ∆ÔModellus ÌÔÚ›ӷ χÛÂÈ Ù· Â-ÚÈÛÛfiÙÂÚ· Û˘-ÛÙ‹Ì·Ù· ÙˆÓ Î·-ÓÔÓÈÎÒÓ ‰È·ÊÔ-ÚÈÎÒÓ ÂÍÈÛÒÛÂ-ˆÓ.

ªÔÓÙ¤ÏÔ Ô˘·Ó··ÚÈÛÙ¿ ÙÔÓ·ÓÙ·ÁˆÓÈÛÌfi ÌÂ-ٷ͇ ıËÙÒÓ Î·ÈıËÚ·Ì¿ÙˆÓ Ì¯ڋÛË Â·Ó·ÏË-ÙÈÎÒÓ ÂÍÈÛÒÛÂ-ˆÓ. ∆Ô ModellusÌÔÚ› Ó· ÂÎÙÂϤ-ÛÂÈ ÙÔ˘˜ ÂÚÈÛ-ÛfiÙÂÚÔ˘˜ ·ӷ-ÏËÙÈÎÔ‡˜ ˘Ô-ÏÔÁÈÛÌÔ‡˜, Û˘-ÌÂÚÈÏ·Ì‚·ÓÔ̤-ÓˆÓ Î·È ÙˆÓ Â·-Ó·Ï‹„ÂˆÓ Ô˘ÂÍËÁÔ‡Ó ÙȘ Û˘-Ó‹ıÂȘ ·ÚÈıÌËÙÈ-Τ˜ ÌÂıfi‰Ô˘˜.