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7 – ar
ﮫﺑ ﺔﯾﺎﻧﻌﻟاو زﺎﮭﺟﻟا فﯾظﻧﺗ
مﺎھ ﮫﯾﺑﻧﺗ
لﻛﺷﺑ بﻛرﻣ رﯾﻏ وأ اررﺿﺗﻣ مﺎﻛﺣﻹا رﺻﻧﻋ نﺎﻛ اذإ
.لﺋﺎﺳﻟا برﺳﺗﯾ دﻘﻓ ﺢﯾﺣﺻ
ءﺎﻋو ﻲﻓ (p / q) نﯾﻛﺳﻟا تﺑﺛﻣ بﻛر
سﻛﻋ ﮫﻔﻠﺑ ﮫطﺑرﺑ مﻗو ،مادﺧﺗﺳﻻا ﺔﻋوﻧﺗﻣﻟا ﺔﻋﺎطﻘﻟا
ﻲﻓ رﻣﺗﺳا لﻗﻷا ﻰﻠﻋ .(m) ﺔﻋﺎﺳﻟا برﺎﻘﻋ هﺎﺟﺗا
ةدوﺟوﻣﻟا ﺔﻣﻼﻌﻟا ﻊﻣ مﮭﺳﻟا ﮫﺟاوﺗﯾ ﻰﺗﺣ ةرادﻹا
.طﻼﺧﻟا ءﺎﻧإ ﻰﻠﻋ
نﯾﻛﺳﻟا تﺑﺛﻣ) مادﺧﺗﺳﻻا ﺔﻋوﻧﺗﻣﻟا ﺔﻋﺎطﻘﻟا فﻠﺑ مﻗ
.(لﻔﺳﻷا وﺣﻧ
نﺎﻛﻣﻟا ﻲﻓ مادﺧﺗﺳﻻا ﺔﻋوﻧﺗﻣﻟا ﺔﻋﺎطﻘﻟا بﻛر
ﻰﻠﻋ دﺟاوﺗﻣﻟا مﮭﺳﻟا ﻲﻗﻼﺗ ﻰﻟإ ﮫﺑﺗﻧا) ﺎﮭﻟ ددﺣﻣﻟا
مﺛ (. زﺎﮭﺟﻟا ﻰﻠﻋ ةدﺟاوﺗﻣﻟا ﺔطﻘﻧﻟا ﻊﻣ ءﺎﻧﻹا
برﺎﻘﻋ نارود ﺎھﺎﺟﺗا ﻲﻓ ﮫﺗرادﺈﺑ ﺎﮭﺗﯾﺑﺛﺗ مﺎﻛﺣﺈﺑ مﻗ
.(,) ﺔﯾﺎﮭﻧﻟا ﻰﺗﺣ ﺔﻋﺎﺳﻟا
.سﺑﻘﻣﻟا ﻲﻓ زﺎﮭﺟﻟا سﺑﺎﻗ لﺧدأ
.ﺔﺑوﻠطﻣﻟا لﯾﻐﺷﺗﻟا ﺔﺟرد ﻰﻠﻋ راودﻟا حﺎﺗﻔﻣﻟا طﺑﺿا
لوطأ ةرﺗﻔﻟ زﺎﮭﺟﻟا لﯾﻐﺷﺗ مﺗ ﺎﻣﻠﻛ :ﮫﯾﺑﻧﺗ
.ﺔﻣوﻌﻧ رﺛﻛأ ﺔﻌطﻘﻣﻟا داوﻣﻟا تﺣﺑﺻأ
تﺎﻘﺣﻠﻣﻟا مادﺧﺗﺳا نﺄﺷﺑ تﺎﯾﺻوﺗ ﻰﻠﻋ لوﺻﺣﻟا نﻛﻣﯾ
.«رﯾﺿﺣﺗﻟا ﺔﻘﯾرط/تﺎﻧوﻛﻣ/تﺎﻔﺻو» لﺻﻔﻟا نﻣ
لﻣﻌﻟا نﻣ ءﺎﮭﺗﻧﻻا دﻌﺑ
.0/off ﻊﺿوﻟا ﻰﻠﻋ راّودﻟا حﺎﺗﻔﻣﻟا طﺑﺿ مﺗﯾ
.ﻲﺋﺎﺑرﮭﻛﻟا رﺎﯾﺗﻟا لﺻﻓ مﺗﯾ
هﺎﺟﺗا سﻛﻋ ﻲﻓ مادﺧﺗﺳﻻا ﺔﻋوﻧﺗﻣﻟا ﺔﻋﺎطﻘﻟا ردأ
.ﺎﮭﺟرﺧأو ﺔﻋﺎﺳﻟا برﻘﻋ نارود
نﯾﻛﺳﻟا تﺑﺛﻣ) مادﺧﺗﺳﻻا ﺔﻋوﻧﺗﻣﻟا ﺔﻋﺎطﻘﻟا فﻠﺑ مﻗ
.(ﻰﻠﻋﻷا وﺣﻧ
ﺔﻋﺎﺳﻟا برﺎﻘﻋ نارود هﺎﺟﺗا ﻲﻓ نﯾﻛﺳﻟا تﺑﺛﻣ ردأ
ﺔﻋوﻧﺗﻣﻟا ﺔﻋﺎطﻘﻟا ءﺎﻋو نﻋ ﮫﻠﺻﻓا مﺛ (l) ﮫﻛﻔﻟ
.مادﺧﺗﺳﻻا
.ءﺎﻋوﻟا ﻎﯾرﻔﺗﺑ مﻗ
فﯾظﻧﺗ» لﺻﻓ ﻰﻠﻋ ةرظﻧ ِ
ﻖﻟأ .ءازﺟﻷا رﺋﺎﺳ فظﻧ
.«ﮫﺑ ﺔﯾﺎﻧﻌﻟاو زﺎﮭﺟﻟا
ﮫﺑ ﺔﯾﺎﻧﻌﻟاو زﺎﮭﺟﻟا فﯾظﻧﺗ
لﻔﻛﯾ دﯾﺟﻟا فﯾظﻧﺗﻟا !ﺔﻧﺎﯾﺻ ﻰﻟإ ﺔﺟﺎﺣ ﻲﻓ سﯾﻟ زﺎﮭﺟﻟا
.رارﺿﻷا نﻣ زﺎﮭﺟﻟا ﻲﻣﺣﯾو لوطأ لﯾﻐﺷﺗ رﻣﻋ ةدﻣ
ءازﺟﻷا فﯾظﻧﺗ نﺄﺷﺑ ﺔﻣﺎﻋ ةرظﻧ ﻰﻠﻋ لوﺻﺣﻟا نﻛﻣﯾ
.G ةروﺻﻟا نﻣ
W !ﻲﺋﺎﺑرﮭﻛﻟا رﺎﯾﺗﻟﺎﺑ ﻖﻌﺻﻠﻟ ضرﻌﺗﻟا رطﺧ
زﺎﮭﺟﻟا رﻣﻐﺑ لاوﺣﻷا نﻣ لﺎﺣ يﺄﺑ مﺎﯾﻘﻟا مدﻋ بﺟﯾ
نﻣ بﺎﺳﻧﻣ ءﺎﻣ تﺣﺗ ﮫﻌﺿوﺑ ﻻو ،ءﺎﻣﻟا ﻲﻓ ﻲﺳﺎﺳﻷا
.روﺑﻧﺻﻟا
!ﮫﺑﺗﻧا
مدﻋ بﺟﯾ ،فﻠﺗﻠﻟ ﺔﺿرﻌﻣ نوﻛﺗ ﺔﯾﺟرﺎﺧﻟا ﺢطﺳﻷا
.ﺔﻧﺷﺧ وأ ﺔﻛﺎﺣ فﯾظﻧﺗ داوﻣ يأ مادﺧﺗﺳا
ﺔﯾﺋاذﻏ داوﻣ نﻣ ﺔﻣﻌطأ دادﻋإ نﻋ مﺟﻧﯾ :ﺔظﺣﻼﻣ
ﻰﻠﻋ أرطﯾ نوﻠﺗ ثودﺣ رﻣﺣﻷا بﻧرﻛﻟا وأ رزﺟﻟﺎﻛ
ﻊﺿﺑ مادﺧﺗﺳﺎﺑ ﮫﺗﻟازإ نﻛﻣﯾ ﺔﯾﻛﯾﺗﺳﻼﺑﻟا ءازﺟﻷا
.مﺎﻌطﻟا توﯾز دﺣأ نﻣ تارطﻗ
ﻲﺳﺎﺳﻷا زﺎﮭﺟﻟا فﯾظﻧﺗ
ﺔﯾذﻐﺗﻟا سﺑﻘﻣ ﻲﻓ زﺎﮭﺟﻟا سﺑﺎﻗ جارﺧإ مﺗﯾ
.ءﺎﺑرﮭﻛﻟﺎﺑ
تﺿﺗﻗا اذإو .ﺔﻠﻠﺑﻣ ﺔطوﻔﺑ ﻲﺳﺎﺳﻷا زﺎﮭﺟﻟا ﺢﺳﻣا
دﺣأ نﻣ ًﻼﯾﻠﻗ ًﺎﺋﯾﺷ مادﺧﺗﺳا نﻛﻣﯾﻓ ةرورﺿﻟا
.تﺎﻔظﻧﻣﻟا
ﺔطوﻓ كﻟذ ﻲﻓ ًﺎﻣدﺧﺗﺳﻣ زﺎﮭﺟﻟا فﯾﻔﺟﺗﺑ كﻟذ دﻌﺑ مﻗ
ﺔﯾﻓﺎﺿإ تﺎﻘﺣﻠﻣﺑ زﮭﺟﻣﻟا ءﺎﻋوﻟا فﯾظﻧﺗ .ﺔﻓﺎﺟ
ﺔﯾﻓﺎﺿإ تﺎﻘﺣﻠﻣﺑ زﮭﺟﻣﻟا ءﺎﻋوﻟا فﯾظﻧﺗ
W !دﺎﺣﻟا نﯾﻛﺳﻟا لﻌﻔﺑ حورﺟﺑ ﺔﺑﺎﺻﻹا رطﺧ
مادﺧﺗﺳﻻا ﺔﻋوﻧﺗﻣﻟا نﯾﻛﺳﻟا فاوﺣ اًدﺑأ سﻣﻠﺗ ﻻ
ﺔﻋوﻧﺗﻣﻟا نﯾﻛﺳﻟا مادﺧﺗﺳا مدﻋ دﻧﻋ .نﯾﺗدرﺟﻣ كﯾدﯾﺑ
ﻲﻗاو ﻲﻓ ﺎﮭﯾﻠﻋ ظﺎﻔﺣﻟا ﺎﻣﺋاد بﺟﯾ ﮫﻧﺈﻓ مادﺧﺗﺳﻻا
.فﯾظﻧﺗﻟا ءارﺟﻹ ةﺎﺷرﻓ مادﺧﺗﺳا بﺟﯾ .نﯾﻛﺳﻟا
ءزﺟﻟا دﻧﻋ ﺎﮭﻔﺻﺗﻧﻣ نﻣ ﻻإ صارﻗﻷا كﺳﻣﺗ ﻻو
.ﻲﻛﯾﺗﺳﻼﺑﻟا
!ﺔﻓﺎﺣﻟا نﻣ ﻻإ صارﻗﻷا كﺳﻣﺗ ﻻ
.ﻲﻧاوﻷا ﺔﻟﺎﺳﻏ ﻲﻓ لﯾﺳﻐﻠﻟ ةﺄﯾﮭﻣ ءازﺟﻷا ﺔﻓﺎﻛ نإ
ﮫﻧأ ثﯾﺣ كﯾﺗﺳﻼﺑﻟا نﻣ ﺔﻌﻧﺻﻣﻟا ءازﺟﻷا رﺷﺣ بﻧﺟﺗ
.ﺎﮭﺗﺋﯾھ ﻰﻠﻋ رﯾﯾﻐﺗ كﻟذ ءارﺟ نﻣ أرطﯾ دﻗ
ﺔﻋوﻧﺗﻣﻟا ﺔﻋﺎطﻘﻟا / طﻼﺧﻟا فﯾظﻧﺗ
مادﺧﺗﺳﻻا
W !دﺎﺣﻟا نﯾﻛﺳﻟا لﻌﻔﺑ حورﺟﺑ ﺔﺑﺎﺻﻹا رطﺧ
.نﯾﺗدرﺟﻣ كﯾدﯾﺑ نﯾﻛﺳﻟا تﺑﺛﻣ فاوﺣ اًدﺑأ سﻣﻠﺗ ﻻ
.فﯾظﻧﺗﻟا ءارﺟﻹ ةﺎﺷرﻓ مادﺧﺗﺳا بﺟﯾ
ﻊﻣﻘﻟاو ءﺎطﻐﻟاو (نﯾﻛﺳﻟا تﺑﺛﻣ نودﺑ) طﻼﺧﻟا ءﺎﻋو
.ﻲﻧاوﻷا ﺔﻟﺎﺳﻏ ﻲﻓ مﮭﻠﺳﻏ نﻛﻣﯾ
49


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