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للمحاكاة بعض التجارب في الفيزياء MATLAB توظيف برامج

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ﺔﻴﺒﻌﺸﻝﺍ ﺔﻴﻁﺍﺭﻘﻤﻴﺩﻝﺍ ﺔﻴﺭﺌﺍﺯﺠﻝﺍ ﺔﻴﺭﻭﻬﻤﺠﻝﺍ ﺔﻴﺒﻌﺸﻝﺍ ﺔﻴﻁﺍﺭﻘﻤﻴﺩﻝﺍ ﺔﻴﺭﺌﺍﺯﺠﻝﺍ ﺔﻴﺭﻭﻬﻤﺠﻝﺍ

ﺓﺭﻜﺫﻤ ﺝﺭﺨﺘ

ﺓﺩﺎﻬﺸ لﻴﻨﻝ ﺃ

ﺫﺎﺘﺴ ﻡﻴﻠﻌﺘﻝﺍ ﻁﺴﻭﺘﻤﻝﺍ

لﻭﺤ :

دا إ : ذ ا فا إ

:

ب أ

ر زر

م يو "

ﺠﻝ ـ ﺔﻨ ﺸﻗﺎﻨﻤﻝﺍ ــ

ﺔ :

ﺫﺎﺘﺴﻷﺍ

ﺕﺎﻌﻴﺒﺼﻭﺒ ﺩﻤﺤﻤ

: ...

...

...

. ....

....

ﺎﺴﻴﺌﺭ

ﺫﺎﺘﺴﻷﺍ

ﺀﺎﻴﺭﻜﺯ

:

لﺎﻜﻭﺘ

. . . ...

..

. ...

...

..

ﺎﻨﺤﺘﻤﻤ

ﺫﺎﺘﺴﻷﺍ

ﺘ ﻲﻗﺯﺭ

:

ﺕﺴﻴﺭﺩ

...

. ..

ﺎﻓﺭﺸﻤ

#$ ار %ا #& %ا :

/

نا " #)*د م

Ministère de l'enseignement Supérieur

et de la recherche Scientifique +,)%ا - .%او % )%ا /$,) %ا ةرازو ة1 2% $,)%ا # ر +%ا

#+ 3%ا #.3%ا )

5ا67%ا (

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ﺱﺭﻬﻔﻝﺍ

ﺔﻤﺩﻘﻤﻝﺍ ...

...

ﻔﻝﺍ ـــ لﻭﻷﺍ لﺼ

ﻘﺘ ـ ﻨﺭﺒ ﻡﻴﺩ ـ

ﺞﻤﺎ MATLAB

ﺔﻤﺩﻘﻤ

………

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-I . ﺏﻼﺘﺎﻤﻝﺍ ﺞﻤﺎﻨﺭﺒ ﻑﻴﺭﻌﺘ ...

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-I . ﺏﻼﺘﺎﻤﻝﺍ ﻡﺎﻅﻨ ...

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-I - . ﺏﻼﺘﺎﻤﻝﺍ ﺔﻐﻝ ...

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-I - . ﺏﻼﺘﺎﻤﻝﺍ لﻤﻋ ﺔﺌﻴﺒ ...

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-I - . ﺕﺎﻤﻭﺴﺭﻝﺍ ﻊﻤ لﻤﺎﻌﺘﻝﺍ ...

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-I - . ﺔﻴﻀﺎﻴﺭﻝﺍ ﻑﺌﺎﻅﻭﻠﻝ ﺏﻼﺘﺎﻤﻝﺍ ﺔﺒﺘﻜﻤ ...

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-I . ﺞﻤﺎﻨﺭﺒﻝﺍ ﺔﻬﺠﺍﻭ ...

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-I - . ﺭﻤﺍﻭﻷﺍ ﺓﺫﻓﺎﻨ :

Command Window ...

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-I - . لﻤﻌﻝﺍ ﺔﻘﻁﻨﻤ :

Workspace ...

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-I - . ﺭﻤﺍﻭﻷﺍ ﺦﻴﺭﺎﺘ :

Command History ...

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-I - . ﺃﺩﺒﺍ ﺔﻤﺌﺎﻗ :

Start ...

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-I - . ﻑﻠﻤ ﺔﻤﺌﺎﻗ :

...File ...

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-I - . لﻴﺩﻌﺘﻝﺍ ﺔﻤﺌﺎﻗ

:

... Edit ...

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-I - . ﺔﻤﺌﺎﻗ Debug ...

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-I - . ﺔﻤﺌﺎﻗ Desktop ...

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-I - . ﺔﻤﺌﺎﻗ Window ...

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-I - . ﺔﻤﺌﺎﻗ ...Help

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-I - . M-File ...

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-I . ﺏﻼﺘﺎﻤﻝﺍ ﺞﻤﺎﻨﺭﺒﺒ ﺔﺼﺎﺨﻝﺍ ﺭﻤﺍﻭﻷﺍ ﺽﻌﺒ ...

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-I - . ﺔﻴﺴﺎﺴﻷﺍ ﻑﺌﺎﻅﻭﻝﺍ ...

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-I - . ﺔﻴﻀﺎﻴﺭﻝﺍ لﺍﻭﺩﻝﺍ ...

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-I - . ﺔﻴﺜﻠﺜﻤﻝﺍ لﺍﻭﺩﻝﺍ ...

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-I - . ﺔﺒﻜﺭﻤﻝﺍ ﺩﺍﺩﻋﻷﺍ لﺍﻭﺩ ...

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-I - . ﺕﺎﻓﻭﻔﺼﻤﻝﺍ لﺍﻭﺩ ...

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-I . ﺕﺎﻬﺠﺘﻤﻝﺍ ﻭ ﺕﺎﻓﻭﻔﺼﻤﻝﺍ ﻰﻠﻋ ﺕﺎﻴﻠﻤﻌﻝﺍ ...

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-I - . ﺏﻼﺘﺎﻤﻝﺍ ﺞﻤﺎﻨﺭﺒ ﻲﻓ ﺕﺎﻓﻭﻔﺼﻤﻝﺍ ﺔﺒﺎﺘﻜ ﺔﻴﻔﻴﻜ ...

...

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-I

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- ﺕﺎﻬﺠﺘﻤﻝﺍ ﻭ ﺕﺎﻓﻭﻔﺼﻤﻝﺍ ﻥﻴﺒ ﻕﺭﻔﻝﺍ ...

...

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-I

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- ﺕﺎﻬﺠﺘﻤﻝﺍ ﻰﻠﻋ ﺔﻌﺌﺎﺸﻝﺍ ﺕﺎﻴﻠﻤﻌﻝﺍ ....

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-I

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- ﺕﺎﻓﻭﻔﺼﻤﻝﺍ ﻰﻠﻋ ﺔﻌﺌﺎﺸﻝﺍ ﺕﺎﻴﻠﻤﻌﻝﺍ ...

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-I . ﺭﻤﺍﻭﻷﺍ ﺽﻌﺒ ﺏﻼﺘﺎﻤﻝﺍ ﻲﻓ ﺔﻤﺎﻬﻝﺍ

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-I - . Linspace ...

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-I - . Logspace ...

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-I - . Randint ....

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-I - . Input ...

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-I - . ...Diff

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-I - . ﻥﻴﺒ ﻕﺭﻔﻝﺍ String

ﻭ Character ...

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-I . ﺏﻼﺘﺎﻤﻝﺍ ﻲﻓ ﻡﺴﺭﻝﺍ :

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-I - . ﺩﺎﻌﺒﻷﺍ ﻲﺌﺎﻨﺜ ﻡﺴﺭﻝﺍ D ploting 2

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-I - . ﺕﺎﻤﻭﺴﺭﻝﺍ ﻰﻝﺇ ﺹﺌﺎﺼﺨ ﺔﻓﺎﻀﺇ ....

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-I - . ﻡﺴﺭﻝﺍ ﻰﻠﻋ ﺔﻜﺒﺸ ﻊﻀﻭ ﺔﻴﻠﻤﻋ ...

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-I - . ﺔﻠﺼﻔﻨﻤ ﺫﻓﺍﻭﻨ ﻲﻓ ﺕﺎﻤﻭﺴﺭﻝﺍ ﻊﻀﻭ ﺔﻴﻠﻤﻋ ...

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-I - . ﺓﺩﺤﺍﻭ ﺓﺫﻓﺎﻨ ﻲﻓ ﺔﻠﺼﻔﻨﻤ ﺕﺎﻤﻭﺴﺭ ﺀﺎﺸﻨﺇ ...

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-I - . ﺤﻤﻝﺍ ﺔﻴﻤﺴﺘ ﺎ

ﺭﻭ ...

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-I - . ﻡﺴﺭﻝﺍ ﻰﻠﻋ ﺕﺎﻨﺎﻴﺒ ﻊﻀﻭ ...

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-I - . ﺱﻭﺎﻤﻝﺍ لﻼﺨ ﻥﻤ ﻁﺎﻘﻨﻝﺍ لﺎﺨﺩﺇ ﺔﻴﻔﻴﻜ ...

...

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ﺔﻤﺘﺎﺨ ...

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ﻔﻝﺍ ــ ﺜﻝﺍ لﺼ ـ

ﻲﻨﺎ

ﻔﻤ ـ ﻴﻫﺎ ـ ﻤﻋﻭ ﻡ ـ ﻴﻤﻭ ـ ﺕﺎ

ﺔﻤﺩﻘﻤ . ...

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-II . لﺎﺠﻤ ﻙﻴﻨﺎﻜﻴﻤﻝﺍ ...

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-II - . ﻲﻝﺎﻁﻌﻝﺍ ﻡﻠﻌﻤﻝﺍ ...

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-II - . ﺔﻴﻜﻴﻨﺎﻜﻴﻤﻝﺍ ﺔﻠﻤﺠﻝﺍ ...

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-II - . لﺎﻘﺘﻨﻹﺍ ﻉﺎﻌﺸﻭ ﻊﻀﻭﻤﻝﺍ ﻉﺎﻌﺸ ...

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-II - . ﺔﻋﺭﺴﻝﺍ ﻉﺎﻌﺸ ...

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-II - - . ﺔﻁﺴﻭﺘﻤﻝﺍ ﺔﻋﺭﺴﻝﺍ ...

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-II - - . ﺔﻋﺭﺴﻝﺍ ﺔﻴﻅﺤﻠﻝﺍ

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-II - . ﻉﺭﺎﺴﺘﻝﺍ ﻉﺎﻌﺸ ...

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-II - - . ﻁﺴﻭﺘﻤﻝﺍ ﻉﺭﺎﺴﺘﻝﺍ ...

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-II - - . ﻲﻅﺤﻠﻝﺍ ﻉﺭﺎﺴﺘﻝﺍ ...

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-II - . ﺔﻴﻨﺤﻨﻤﻝﺍ ﺔﻠﺼﺎﻔﻝﺍ ...

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-II - . ﻥﺘﻭﻴﻨ ﻥﻴﻨﺍﻭﻗ ...

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-II - - . لﻭﻷﺍ ﻥﻭﻨﺎﻘﻝﺍ ...

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-II - - . ﻲﻨﺎﺜﻝﺍ ﻥﻭﻨﺎﻘﻝﺍ ...

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-II - - . ﺙﻝﺎﺜﻝﺍ ﻥﻭﻨﺎﻘﻝﺍ ...

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-II - . ﺓﻭﻗ لﻤﻋ ...F

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-II - . ﺔﻴﻜﺭﺤﻝﺍ ﺔﻗﺎﻁﻝﺍ ...

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-II - . ﺔﻴﻜﺭﺤﻝﺍ ﺔﻗﺎﻁﻝﺍ ﺔﻴﺭﻅﻨ ...

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-II - . ﺔﻨﻤﺎﻜﻝﺍ ﺔﻗﺎﻁﻝﺍ ...

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-II - . ﺔﻗﺎﻁﻝﺍ ﺔﻴﻜﻴﻨﺎﻜﻴﻤﻝﺍ

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-II . لﺎﺠﻤ ﻴﻨﻭﺭﺘﻜﻝﻹﺍ ﻙ

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-II - . ﺭﺎﻴﺘﻝﺍ ﻊﺒﺎﻨﻤ ﻭ ﺩﻬﺠﻝﺍ ﻊﺒﺎﻨﻤ ...

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-II - - . ﺭﻤﺘﺴﻤﻝﺍ ﺩﻬﺠﻝﺍ ﻊﺒﻨﻤ ...

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-II - - . ﺭﻤﺘﺴﻤﻝﺍ ﺭﺎﻴﺘﻝﺍ ﻊﺒﻨﻤ ...

...

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II - - - . ﻥﻴﻴﻘﻴﻘﺤ ﺭﺎﻴﺘ ﻊﺒﻨﻤ ﻭ ﺩﻬﺠ ﻊﺒﻨﻤ ﻥﻴﺒ ﺅﻓﺎﻜﺘﻝﺍ ...

II - - - . ﻤ ﻑﻴﻴﻜﺘ ﻊﺒﻨﻤﻝﺍ ﻊﻤ ﺔﻝﻭﻤﺤﻝﺍ ﺔﻤﻭﺎﻘ

...

-II - . ﺭﻤﺘﺴﻤﻝﺍ ﻊﺒﻨﻤﻝﺍ ﻪﺘﺎﻨﻭﻜﻤ ﻭ

...

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-II - . ﺕﺎﻨﻭﻜﻤ ﺭﻤﺘﺴﻤﻝﺍ ﻊﺒﻨﻤﻝﺍ

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-II - - . لﻭﺤﻤﻝﺍ ...

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-II - - . ﻡﻭﻘﻤﻝﺍ ...

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-II - - . ﺓﺎﻔﺼﻤﻝﺍ ﻭﺃ ﺢﺸﺭﻤﻝﺍ ...

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-II - - . ﺔﻴﺭﺍﺭﻘﺘﺴﻻﺍ ...

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ﺔﻤﺘﺎﺨ . ...

ﻔﻝﺍ ــ ﺜﻝﺍ لﺼ ـ

ﻝﺎ ـ ﺙ

ﺤﻤ ـ ﻜﺎ ـ ﻌﺒ ﺓﺎ ـ ﺠﺘﻝﺍ ﺽ ـ

ﺏﺭﺎ

ﺔﻤﺩﻘﻤ ...

...

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-III . ﺭﺩ ﺔﺒﺭﺠﺘ ﺓﺎﻜﺎﺤﻤﻭ ﺔﺴﺍ :

ﺔﻔﻴﺫﻗ ﺔﻜﺭﺤ ﺔﺴﺍﺭﺩ .

...

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-III . ﺔﺒﺭﺠﺘ ﺓﺎﻜﺎﺤﻤ ﻭ ﺔﻴﺍﺭﺩ :

ﺔﻗﺎﻁﻝﺍ لﻘﻨﻝ ﺔﻴﻨﺎﻴﺒ ﺔﺴﺍﺭﺩ .

...

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-III . ﺔﺒﺭﺠﺘ ﺓﺎﻜﺎﺤﻤﻭ ﺔﺴﺍﺭﺩ :

ﺭﺎﻴﺘﻝﺍ ﻊﺒﺎﻨﻤ ﻭ ﺩﻬﺠﻝﺍ ﻊﺒﺎﻨﻤ ...

.

-III . ﺔﺴﺍﺭﺩ ﻪﺘﺎﻨﻭﻜﻤ ﻭ ﺭﻤﺘﺴﻤﻝﺍ ﻊﺒﻨﻤﻝﺍ ﺔﺒﺭﺠﺘ ﺓﺎﻜﺎﺤﻤ ﻭ

. ...

ﺔﻤﺘﺎﺨ . ...

ﺔﻤﺘﺎﺨﻝﺍ .

...

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ﻊﺠﺍﺭﻤﻝﺍ ..

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ﻕﺤﻼﻤﻝﺍ ...

...

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ﺔﻣﺪﻘﻣ

ﺔﻴﺴﺎﺴﻷﺎﺒ ﺎﻬﻔﺼﻭ ﻥﻜﻤﻴ ﻲﺘﻝﺍ ﻡﻭﻠﻌﻝﺍ ﺭﺜﻜﺃ ﻥﻤ ﻲﺒﻴﺭﺠﺘ ﻡﻠﻋ ﺀﺎﻴﺯﻴﻔﻝﺍ ﻪـﺠﺌﺎﺘﻨ ﺱـﺴﺅﻴ ،

ﺔﻘﻴﻗﺩﻝﺍ ﺕﺎﺴﺎﻴﻘﻝﺍ ﻭ ﺔﻅﺤﻼﻤﻝﺍ ﻰﻝﺇ ﺍﺩﻨﺘﺴﻤ ﻰﻠﻋ ﺎﻨﺩﻋﺎﺴﺘ ﻲﺘﻝﺍ ﺕﺎﻴﺭﻅﻨﻝﺍ ﻭ ﻥﻴﻨﺍﻭﻘﻝﺍ ﻁﺎﺒﻨﺘﺴﻻ

ﺭﻫﺍﻭﻅﻝﺍ ﻡﻬﻓ لﻤﻌﻝﺍ ﻕﻴﻘﺤﺘ ﻥﺎﻜ ﺎﻤﻝ ﻭ ،ﺔﻴﻌﻴﺒﻁﻝﺍ

ﻝﺍ ﺎﻬﻬﺠﺍﻭﻴ ﻲﺘﻝﺍ ﺕﺎﺒﻭﻌﺼﻝﺍ ﻡﻫﺃ ﻥﻤ ﻲﺒﻴﺭﺠﺘ

ﺓﺫﺘﺎﺴﻷﺍ ﺎﺴﻭ ﺔﻠﻘﻝ ﻭﺃ ﻪﺘﺭﻭﻁﺨﻝ ﺀﺍﻭﺴ ،ﺕﻻﺎﺠﻤﻝﺍ ﻑﻠﺘﺨﻤ ﻲﻓ

ﻥﻭﺜﺤﺎﺒﻝﺍ ﻊﻓﺩﻨﺍ ،ﻪﻠﺌ لﺎـﺠﻤ ﻲﻓ

ﺔﻴﻀﺍﺭﺘﻓﺍ ﺔﻴﻤﻴﻠﻌﺘ ﺔﺌﻴﺒ ﺙﺍﺩﺤﺇ ﻰﻝﺇ ﻡﻴﻠﻌﺘﻝﺍ ﺎﻴﺠﻭﻝﻭﻨﻜﺘ ﺔـﻴﻨﺎﻜﻤﺇ ﻥـﻤ ﺓﺩﺎﻔﺘـﺴﻻﺍ لﻼـﺨ ﻥﻤ ،

ﺫﻴﻤﻼﺘﻝﺍ ﺏﻴﺭﻘﺘ ﺩﺼﻗ ﺽﺭﻌﻝﺍ ﻙـﻝﺫ ﻲـﻓ ﻥﻴﻨﻴﻌﺘﺴﻤ ،ﻩﺭﻓﻭﺘ ﺏﻌﺼﻴ ﻱﺫﻝﺍ ﻲﻌﻗﺍﻭﻝﺍ ﻡﻝﺎﻌﻝﺍ ﻥﻤ

ﻹﺍ ﺕﺍﻭﺩﺄﺒ لﻼﺨ ﻥﻤ ﻲﻝﻵﺍ ﻡﻼﻋ

ﺔﺠﻤﺭﺒ ﺕﺎﻐﻝ ﺓﺩﻌﺒ ﺏﺘﻜﺘ ﺔﻴﻠﻋﺎﻔﺘ ﺔﻴﻤﻠﻋ ﺞﻤﺍﺭﺒ ﺎـﻤ ﺍﺫﻫ ﻭ ،

ﺔﻴﻘﻴﻘﺤ ﺓﺍﺩﻷ ﺩﻴﻠﻘﺘ ﺔﻴﻠﻤﻋ ﺩﻌﺘ ﻲﺘﻝﺍ ﺓﺎﻜﺎﺤﻤﻝﺎﺒ ﻰﻤﺴﻴ ﺔﻴﻭﻴﺤ ﻭﺃ ﺔﻴﺌﺎﻴﺯﻴﻓ ﺔﻴﻠﻤﻋ ﻭﺃ ،

.

ﺕﻻﺎﺠﻤﻝﺍ لﻜ ﻲﻓ ﺔﻴﻭﺒﺭﺘﻝﺍ ﺞﻤﺍﺭﺒﻝﺍ ﻰﻠﻋ ﺃﺭﻁ ﻱﺫﻝﺍ ﺱﻭﻤﻠﻤﻝﺍ ﺭﻴﻐﺘﻠﻝ ﺍﺭﻅﻨ ﺔﻤﺎﻋ

ﻲﻓ ﻭ

ﺔﺼﺎﺨ ﺀﺎﻴﺯﻴﻔﻝﺍ -

ﺍﺭﻭﻁﺘ ﺕﺩﻬﺸ ﺙﻴﺤ ﻴﻭﺘﺴﻤﻝﺍ ﻊﻴﻤﺠ ﻲﻓ ﺍﺭﻴﺒﻜ

ﺔﻴﻤﻴﻠﻌﺘﻝﺍ ﺕﺎ -

ﺎﻨﺴـﻔﻨﺃ ﺩﺠﻨ

ﻥﻴﻤﻏﺭﻤ لﻼﺨ ﻥﻤ ﻙﻝﺫ ﻭ ،ﻪﻘﻴﻘﺤﺘ ﻲﻓ ﺔﻜﺭﺎﺸﻤﻝﺍ ﻭ ﺭﻭﻁﺘﻝﺍ ﺍﺫﻫ ﺔﺒﻜﺍﻭﻤ ﻰﻠﻋ

ﺀﻲـﺸ ﻡـﻠﻌﺘ

ﺎﻬﻝﺎﻤﻌﺘﺴﺍ ﻰﻠﻋ ﻥﻴﻠﺒﻘﻤ ﺎﻨﻨﻭﻜ ﺞﻤﺍﺭﺒﻝﺍ ﻩﺫﻫ ﻥﻋ ﺩﻴﺩﺠ ﻥﺎـﻜ ﻥﺇ ﺎـﻨﻨﺍﻭﺨﻹ ﺎـﻬﻤﻴﻠﻌﺘ ﻻ ﺎﻤﻝ ﻭ ،

ﺎﻨﺭﻭﺩﻘﻤﺒ ﻙﻝﺫ لﻌﻓ

.

ﺔﻨﺴ ﻥﺴﻨ ﻭ ﺎﻨﺘﻤﺼﺒ ﻲﻘﺒﻨ ﻭ ﺓﺩﺌﺎﻔﻝﺍ ﻡﻤﻌﻨ ﻰﺘﺤ ﻭ ﺔﻨﺴﺤ

ﺫـﻤ ﺎـﻨﺭﺘﺨﺍ ﺎﻨﺘﺭﻜ

"

ﻑـﻴﻅﻭﺘ

ﺞﻤﺎﻨﺭﺒ MATLAB

ﻤﻝ ﺀﺎﻴﺯﻴﻔﻝﺍ ﻲﻓ ﺏﺭﺎﺠﺘﻝﺍ ﺽﻌﺒ ﺓﺎﻜﺎﺤ

"

ﺎﻨﺘـﺴﺭﺩﻤ ﺀﺎﻴﺯﻴﻓ ﺩﺼﻘﻨ ﻭ ، ﻱﺃ ،

ﻥﻭﻜﻨﻝ ،ﺎﻬﻝ ﺓﺎﻜﺎﺤﻤ ﺀﺍﺭﺠﺇ ﺩﺼﻗ ﺎﻨﺘﺴﺭﺩﻤ ﻥﻤ ﺏﺭﺎﺠﺘ ﺭﺎﺘﺨﻨﺴ ﺎﻨﻨﺃ ﺎﻨﺩﻋﺎـﺴ ﺩـﻗ

ﻼـﻜ ﻥـﻤ

ﺎﻨﺘﺫﺘﺎﺴﺃ -

لﻤﻌﻝﺍ ﺍﺫﻬﺒ ﻡﺎﻴﻘﻝﺍ لﺎﻘﺜﺃ ﻡﻬﻴﻠﻋ ﻥﻴﻠﻤﺎﺤ -

ﺔﺒﻠﻁﻝﺍ ﺎﻨﻨﺍﻭﺨﺇ ﻭ -

ﺎـﻤ ﻡـﻬﻝ ﻥﻴﺤﻀﻭﻤ

ﻲﻔﺨ ﻥﻤ ﻡﻬﻴﻠﻋ ﻲﻘﻴﺒﻁﺘﻝﺍ لﻤﻌﻝﺍ ﺀﺎﻨﺜﺃ ﺏﺭﺎﺠﺘﻝﺍ ﻩﺫﻫ

-

، ﻥـﻤ ﺎﻨﺘﻗﻼﻁﻨﺍ ﻥﻭﻜﺘ ﻥﺃ ﺎﻨﻠﻀﻓ ﺙﻴﺤ

ﻭ ،ﺔﻴﻘﺒﺘﻤﻝﺍ ﺏﺭﺎﺠﺘﻝﺍ ﺓﺎﻜﺎﺤﻤ ﺔﻠﺴﻠﺴﻝ ﺎﻌﺠﺭﻤ ﻥﻭﻜﺘ ﺎﻬﻠﻌﻝ ﺔﻴﻨﺎﺜﻝﺍ ﺔﻨﺴﻝﺍ ﻭ ﻰﻝﻭﻷﺍ ﺔﻨﺴﻝﺍ ﻁﺒﻀﻝﺎﺒ

ﺔﻴﻨﺎﺜﻝﺍ ﺔﻨﺴﻠﻝ ﻙﻴﻨﻭﺭﺘﻜﻝﻹﺍ ﻭ ﻰﻝﻭﻷﺍ ﺔﻨﺴﻠﻝ ﻙﻴﻨﺎﻜﻴﻤﻝﺍ ﻱﺭﺒﺨﻤ .

لﻭﺼﻓ ﺔﺜﻼﺜ ﻲﻓ ﻙﻝﺫ لﻭﺎﻨﺘﻨﺴ ﻭ :

- لﻭﻷﺍ لﺼﻔﻝﺍ ﻪﻴﻓ ﻭ :

ﺞﻤﺎﻨﺭﺒﻝ ﻡﻴﺩﻘﺘ MATLAB

ﻑـﻴﺭﻌﺘ ،ﻪـﻔﻴﺭﻌﺘ لﻼﺨ ﻥﻤ ﺕﺎـﻨﻭﻜﻤ

ﺘﻬﺠﺍﻭ

،ﻪ ﺀﺎﻁﻋﺇ ﻝﺍ ﺽﻌﺒ

ﻓ ﺎﻫﺅﺍﺭﺠﺇ ﻥﻜﻤﻴ ﻲﺘﻝﺍ ﺔﻴﺴﺎﺴﻷﺍ ﺕﺎﻴﻠﻤﻌ ﻴ

ﺎـﻤ ﻰـﻠﻋ ﺭﺼﺘﻘﻨﺴ ﺫﺇ ﻪ

ﺎﻨﺩﻋﺎﺴﻴ ﺽﻌﺒ ﻰﻠﻋ ﺝﺭﻌﻨ ﻡﺜ ﺓﺎﻘﺘﻨﻤﻝﺍ ﺎﻨﺒﺭﺎﺠﺘﻝ ﺓﺎﻜﺎﺤﻤ ﺀﺍﺭﺠﺇ ﻲﻓ

ﺔـﻴﻔﻴﻜ ﻭ ﻡـﺴﺭﻝﺍ ﺭـﻤﺍﻭﺃ

ﺎﻬﻝﺎﻤﻌﺘﺴﺍ .

(7)

- ﻲﻨﺎﺜﻝﺍ لﺼﻔﻝﺍ ﻭ :

ﻔﻤﻝﺍ ﺽﻌﺒ ﻰﻠﻋ ﻱﻭﺘﺤﻴ

،ﺕﺎﻴﻤﻭﻤﻌﻝﺍ ﻭ ﻡﻴﻫﺎ ﺫﺇ

ﺎـﺒﻨﺎﺠ لﺼﻔﻝﺍ ﺍﺫﻫ ﺭﺒﺘﻌﻴ

ﺭﻴﺨﻷﺍ لﺼﻔﻠﻝ ﺎﻴﺭﻅﻨ لـﺜﻤ ﻙـﻴﻨﺎﻜﻴﻤﻝﺍ ﻲﻓ ﻡﻴﻫﺎﻔﻤﻝﺍ ﺽﻌﺒ ﺀﺎﻁﻋﺈﺒ ﻡﻭﻘﻨﺴ ﺙﻴﺤ ،

: ﺔـﻠﻤﺠﻝﺍ

،ﻊﻀﻭﻤﻝﺍ ﻉﺎﻌﺸ ﻭ لﺎﻘﺘﻨﻻﺍ ﻉﺎﻌﺸ ،ﻲﻝﺎﻁﻌﻝﺍ ﻡﻠﻌﻤﻝﺍ ﻭ ﺔﻴﻜﻴﻨﺎﻜﻴﻤﻝﺍ ﻝﺍ

ﻥﻴﻨﺍﻭﻗ ،ﻉﺭﺎﺴﺘﻝﺍ ﻭ ﺔﻋﺭﺴ

ﻜﻝﻹﺍ ﻲﻓ ﻭ ،ﺕﺎﻗﺎﻁﻝﺍ ﻭ ﻥﺘﻭﻴﻨ ﺎﻨﻤﻬﻴ ﺎﻤ ﻰﻠﻋ ﺭﺼﺘﻘﻨﺴ ﻙﻴﻨﻭﺭﺘ

ﺎـﻨﻤﻝﺍ ﻉﺍﻭﻨﺃ لﺜﻤ ﻊﺒ

) ﻊﺒﺎـﻨﻤ

ﺭﺎﻴﺘﻝﺍ ﻊﺒﺎﻨﻤ ﻭ ﺩﻬﺠﻝﺍ (

ﻰـﻝﺇ ﻕﺭـﻁﺘﻨ ﻡﺜ لﻴﻐﺸﺘﻝﺍ ﺔﻁﻘﻨ ﻭ ﺎﻤﻬﻨﻴﺒ ﺅﻓﺎﻜﺘﻝﺍ ،ﺎﻤﻬﻨﻤ لﻜ ﺹﺍﻭﺨ ،

ﻪﺘﺎﻨﻭﻜﻤ ﺱﺭﺩﻨ ﻭ ﺭﻤﺘﺴﻤﻝﺍ ﻊﺒﻨﻤﻝﺍ لﺤﺍﺭﻤ ﻭ

ﺴﺍ ﻭ ﺢﻴﺸﺭﺘ ﻭ ﻡﻴﻭﻘﺘ ﻥﻤ ﻪﻴﻓ لﻴﻭﺤﺘﻝﺍ ﺔﻴﺭﺍﺭﻘﺘ

.

- ﺙﻝﺎﺜﻝﺍ لﺼﻔﻝﺍ :

ﻪﻴﻓ ﺓﺎﻜﺎﺤﻤ ﻝ

،ﺏﺭﺎﺠﺘﻝﺍ ﺽﻌﺒ ﺒﺭﺃ ﺭﺎﺘﺨﻨـﺴ ﺙﻴﺤ ﻲﻘﻴﺒﻁﺘ لﺼﻓ ﻭﻫﻭ

ﺔـﻌ

ﺍ ﻭ ﻙﻴﻨﺎﻜﻴﻤﻝﺍ ﺭﺒﺨﻤ ﻥﻤ ﻥﻴﻨﺜﺍ ،ﺏﺭﺎﺠﺘ ﺭﺎﺘﺨﻨـﺴ ﻙﻴﻨﺎﻜﻴﻤﻝﺍ ﻥﻤﻓ ،ﻙﻴﻨﻭﺭﺘﻜﻝﻹﺍ ﺭﺒﺨﻤ ﻥﻤ ﻥﻴﻨﺜ

ﺭﺤ ﺔﺴﺍﺭﺩ ﺔﺒﺭﺠﺘ ﺎﻤﻬﺘﺴﺍﺭﺩ لﻭﺎﺤﻨﺴ ﻭ ﺔﻗﺎﻁﻝﺍ لﻘﻨﻝ ﺔﻴﻨﺎﻴﺒﻝﺍ ﺔﺴﺍﺭﺩﻝﺍ ﺔﺒﺭﺠﺘ ﻭ ﺔﻔﻴﺫﻗ ﺔﻜ

ﻡـﺜ

ﺞﻤﺎﻨﺭﺒ ﺔﻁﺴﺍﻭﺒ ﺎﻤﻬﻝ ﺓﺎﻜﺎﺤﻤ ﺀﺍﺭﺠﺇ MATLAB

ﻊﺒﺎـﻨﻤ ﺔﺒﺭﺠﺘ ﺭﺎﺘﺨﻨﺴ ﻙﻴﻨﻭﺭﺘﻜﻝﻹﺍ ﻥﻤ ﻭ ،

ﺍ ﻊﺒﺎﻨﻤ ﻭ ﺩﻬﺠﻝﺍ ﺘﺎﻨﻭﻜﻤ ﻭ ﺭﻤﺘﺴﻤﻝﺍ ﻊﺒﻨﻤﻝﺍ ﺔﺒﺭﺠﺘ ﻭ ﺭﺎﻴﺘﻝ

ﺀﺍﺭﺠﺇ ﻡﺜ ﺎﻤﻬﺘﺍﺭﻴﻐﺘﻤ ﺔﺴﺍﺭﺩ ﺩﺼﻗ ﻪ

ﺎﻤﻬﻝ ﺓﺎﻜﺎﺤﻤ ﻕﻴﻓﻭﺘﻝﺍ ﻲﻝﻭ ﷲﺍ ﻭ ،

.

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ﻕـﻁﻨﻤ ﻥﻤ ﻙﻟﺫ ﻭ ﻥﺎﺴﻨﻹﺍ ﻕﻭﻘﺤ ﺔﻴﺎﻤﺤ ﻭ ﺔﻴﻗﺭﺘ لﺠﺃ ﻥﻤ ﻰﻌﺴﺘ ﺔﻟﻭﺩﻟﺍ ﻥﺃ ،ﺭﺌﺍﺯﺠﻟﺍ ﻲﻓ ﻥﺎﺴﻨﻹﺍ ﻕﻭﻘﺤﻟ ﻯﻭﺘـﺴﻤﻟﺍ ﻰـﻠﻋ ﺍﺫـﻫ ،ﻥﺎﺴﻨﻹﺍ ﻕﻭﻘﺤ ﻡﺍﺭﺘﺤﺍ ﻲﺴﺎﺴﻷﺍ ﺎﻬﻤﺍﻭﻗ ﺔﻴﻁﺍﺭﻘﻤﻴﺩﻟﺍ ﻭ ﻥﻭﻨﺎﻘﻟﺍ

[r]

ﺭﻟﺍ ﻥﻤ ﻡﻬﺒﻭﻠﻗ ﻪﻴﻠﻋ ﺕﻭﻁﻨﺍ ﺎﻤﻟ ﻕﻌﺼﻴﻟ ﺔﻠﻤﺎﺠﻤﻟﺍ ﻭ ﺔﻗﺎﻴ ﺔﻋﻭﻴﻤ ﻥﻤ ﻡﻬﺤﺍﻭﺭﺃ ﻭ ،لﻴﺠﺩﺘ ﻥﻤ ﻡﻫﺭﺎﻜﻓﺃ ﻭ ،ﺀﺎﻴ. ﺭﻟﺍ

[r]

ﻡﻟ ﻪﻨﺃ ﻻﺇ ﻲﻘﻓﺭﻤﻟﺍ ﺄﻁﺨﻟﺍ ﻭ ﻲﺼﺨﺸﻟﺍ ﺄﻁﺨﻟﺍ ﻥﻴﺒ ﺔﻗﺭﻔﺘﻟﺍ ﺓﺭﻜﻔﻟ ﻱﺭﺌﺍﺯﺠﻟﺍ ﻉﺭﺸﻤﻟﺍ ﻙﻟﺫ ﻭﻫ ﻲﻘﻓﺭﻤﻟﺍ ﺄﻁﺨﻟﺍ ﻥﺃ ﺭﻴﺭﻘﺘﻟﺎﺒ ﻰﻔﺘﻜﺍﻭ ﻙﻟﺫ ﻲﻓ ﻪﻴﻠﻋ ﺩﺎﻤﺘﻋﻻﺍ ﻥﻜﻤﻴ ﻱﺫﻟﺍ ﺭﺎﻴﻌﻤﻟﺍ

ﻙﻟﺫﺒ ﻥﻭﻜﻴ ،ﺎﻬﻀﻌﺒ ﻲﻓ ﺔﺠﻤﺩﻤﻟﺍ لﻤﺠﻟﺍ ﺱﺭﺩﻴ ﺎﻤﺩﻨﻋ ﻪﻨﺈﻓ ،ﺔﻠﻤﺠﻟﺍ ﺔﺴﺍﺭﺩ ﻭﺤﻨ ﺱﺎﺴﻷﺍ ﻯﻭﺘﺴﻤ ﻰﻟﺇ ﺔﻠﻤﺠﻟﺍ ﻯﻭﺘﺴﻤ ﻥﻤ ﺍﻭﺭﻤﻴ ﻥﺃ ﺔﻠﻤﺠﻟﺍ ﻭﺤﻨ ﻱﺭﻅﻨﻤﻟ ﺔﺒﺴﻨﻟﺎﺒ لﺎﺠﻤﻟﺍ ﺢﺘﻓ ﺩﻗ ﺹﻨﻟﺍ ﻭﺤﻨ