واجب منزلي رقم 1 في الرياضيات للسنة الثانية متوسط

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‫‪How Do Court Reporters Keep Straight‬‬ ‫‪Faces Clipart‬‬ ‫اﻟﻌﺪﻟﺔ "ﻛﯿﻔﯿﮫ اﻧﺸﺎء ﺣﺴﺎب ﻋﻠﻰ ﻣﺘﺠﺮ ﺑﻼي اﻣﺮﯾﻜﻲ\"" ﻣﻮاﺿﯿﻊ اﻟﻠﻐﺔ ‪How do court reporters keep straight faces clipart 8 Hours‬‬ ‫‪\"". How do court reporters keep straight faces clipart‬اﻻﻧﺠﻠﯿﺰﯾﺔ ﻟﻠﺼﻒ اﻟﺴﺎﺑﻊ ﻓﻲ ﺳﻮرﯾﺎ "ﻧﻤﺎذج اﻟﺴﯿﺮه اﻟﺬاﺗﯿﮫ ﺑﺎﻟﻌﺮﺑﻲ واﻻﻧﺠﻠﯿﺰي‬ ‫ﻣﻮﻗﻊ ‪ DFC,‬راﺟﻤﺎت اﻟﺼﻮارﯾﺦ اﻟﺮوﺳﯿﺔ ‪ Congregation of Christian Brothers ,‬ﻛﯿﻔﯿﺔ زﯾﺎدة ﻋﺪد اﻟﻤﺸﺘﺮﻛﯿﻦ اﻟﯿﻮﺗﯿﻮب""\" ‪12 Hours‬‬ ‫ﻛﯿﻔﯿﮫ ﺗﻜﺒﯿﺮ ‪ admission essay Abu Dhabi how do court reporters keep straight faces clipart 24 Hours‬اﻟﻜﺘﺎﺑﺔ ﺑﺎﻟﺸﻤﻊ‬ ‫‪ sym jet 4" How do court reporters keep straight faces‬اﻟﻤﺆﺧﺮة واﻻرداف" ‪ ,‬ﻛﯿﻒ اﻛﺘﺐ اﻧﺠﻠﯿﺰي ﺑﺪون اﺧﻄﺎء" ﺳﻜﻮﺗﺮ‬ ‫‪.‬ﻣﺤﻤﺪ اﻟﺼﺎﻓﻲ ﻣﺒﺎﺷﺮ اﻻﻧﻮار" ‪clipart 24 Hours‬‬

‫‪How Do Court Reporters Keep Straight Faces‬‬ ‫‪Clipart 3 Hours‬‬ ‫‪ How do court‬ﻟﻠﻜﺘﺎﺑﺔ دﺑﻲ ‪ word 2021‬ﺗﺤﻤﯿﻞ ﺑﺮﻧﺎﻣﺞ ‪ annotated bibliography‬ﺗﻔﻌﯿﻞ اﻟﺘﺪﻗﯿﻖ اﻻﻣﻼﺋﻲ ﻓﻲ اﻟﻮورد ‪New York 2021‬‬ ‫‪\"".‬ﻋﻠﻢ اﻟﻤﺎﻧﯿﺎ اﻟﺸﺮﻗﯿﺔ" ‪ Hili Fun City‬ﻣﺮدف‪" ,‬ﺑﺮﻧﺎﻣﺞ ﯾﻮﻣﻲ ﻟﺰﯾﺎدة اﻟﻮزن ‪reporters keep straight faces clipart‬‬

‫اﻟﻣﻌﻠوﻣﺎت اﻟﻣطﻠوﺑﺔ أدﻧﺎه‬

‫‪https://PaperHelp.space‬‬ ‫<<<اﻧﻘر ھﻧﺎ>>>‬ ‫ش )‪Orange County Community College (SUNY Orange‬‬ ‫ﻣﺮﺣﺒﺎ ً اﯾﮭﺎ اﻟﻌﺎﻟﻢ‪ ,‬ادﻋﻰ "ﻛﺎري آن" واھﻼ ﺑﻜﻢ ﻓﻲ ﻋﻠﻮم اﻟﻜﻤﺒﯿﻮﺗﺮ ﻣﻦ "ﻛﺮا ​‬ ‫واﻟﺒﺎﯾﺖ‪ ,‬اﻟﺘﺮاﻧﺴﯿﺴﺘﻮر واﻟﺒﻮاﺑﺎت اﻟﻤﻨﻄﻘﯿﺔ‪ ,‬وﺻﻮﻻ اﻟﻰ أﻧﻈﻤﺔ اﻟﺘﺸﻐﯿﻞ‪ ,‬اﻟﻮاﻗﻊ ‪bits‬ﻛﻮرس" ﺧﻼل اﻟﺤﻠﻘﺔ اﻟﺪراﺳﯿﺔ ﻣﻦ ھﺬه اﻟﺴﻠﺴﻠﺔ‪ ,‬ﺳﻨﺒﺪأ ﻣﻦ اﻟـ‬ ‫اﻻﻓﺘﺮاﺿﻲ واﻟﺮوﺑﻮت‪ .‬ﺳﻨﺘﻜﻠﻢ ﻋﻦ اﻟﻜﺜﯿﺮ‪ ,‬ﻓﻘﻂ ﻟﻠﺘﻮﺿﯿﺢ‪ ..‬ﻟﻦ ﻧﻌﻠﻤﻜﻢ ﻛﯿﻒ ﺗﺒﺮﻣﺠﻮن‪ .‬ﺑﺪﻻ ﻋﻦ ذﻟﻚ‪ ,‬ﺳﻨﺴﺘﻜﺸﻒ ﻣﺠﻤﻮﻋﺔ ﻣﻦ ﻣﻮاﺿﯿﻊ اﻟﺤﻮﺳﺒﺔ‬ ‫ﻗﻮاﻋﺪﯾﺎ ً و ﺗﻜﻨﻮﻟﻮﺟﯿﺎ ً‪ .‬اﻟﺤﻮاﺳﯿﺐ ھﻲ اﻵن ﺷﺮﯾﺎن اﻟﻌﺎﻟﻢ‪ .‬ﻓﺈذا ﺟﻤﯿﻌﮭﺎ ﺗﻮﻗﻔﺖ اﻵن‪ ,‬ﻛﻞ ﻣﺤﻄﺎت اﻟﺘﻐﺬﯾﺔ اﻟﻜﮭﺮﺑﺎﺋﯿﺔ ﺳﺘﺘﻮﻗﻒ ﻋﻦ اﻟﻌﻤﻞ‪ ,‬اﻟﺴﯿﺎرات‬ ‫ﺳﺘﺼﻄﺪم ﺑﺒﻌﻀﮭﺎ‪ ,‬اﻟﻄﺎﺋﺮات ﺳﺘﺴﻘﻂ‪ ,‬ﻣﺤﻄﺎت ﻣﻌﺎﻟﺠﺔ اﻟﻤﯿﺎه ﺳﺘﺘﻮﻗﻒ‪ ,‬أﺳﻮاق اﻷﺳﮭﻢ ﺳﺘﺘﺠﻤﺪ‪ ,‬ﺷﺎﺣﻨﺎت اﻟﻄﻌﺎم ﻟﻦ ﺗﻌﻠﻢ وﺟﮭﺔ اﻟﺘﻮﺻﯿﻞ‪,‬‬ ‫واﻟﻤﻮظﻔﯿﻦ ﻟﻦ ﯾﺘﻢ اﻟﺪﻓﻊ ﻟﮭﻢ‪ .‬ﺣﺘﻰ اﻷﺷﯿﺎء اﻟﺘﻲ ﻻ ﻋﻼﻗﺔ ﻟﮭﺎ ﺑﺎﻟﻜﻤﺒﯿﻮﺗﺮ ﻛـ اﻟﻘﻤﺼﺎن و اﻟﻜﺮﺳﻲ اﻟﺬي ﺟﺎﻟﺴﺔ ﻋﻠﯿﮫ اﻵن ﺻﻨﻌﺖ ﻓﻲ ﻣﺼﺎﻧﻊ ﺗﺪار‬ ‫ﺑﺎﻟﺤﻮاﺳﯿﺐ‪ .‬إن اﻟﺤﻮﺳﺒﺔ ﺣﻮﻟﺖ ﺑﺎﻟﻔﻌﻞ ﻛﻞ ﻧﺎﺣﯿﺔ ﺗﻘﺮﯾﺒﺎ ﻣﻦ ﺣﯿﺎﺗﻨﺎ‪ .‬وھﺬه ﻟﯿﺴﺖ اول ﻣﺮة ﻧﺮى ھﺬا اﻟﻨﻮع ﻣﻦ اﻟﺘﻐﯿﺮ اﻟﻌﺎﻟﻤﻲ اﻟﻤﻤﻌﺘﻤﺪ ﻋﻠﻰ‬ ‫اﻟﺘﻜﻨﻮﻟﻮﺟﯿﺎ‪ .‬اﻟﺘﻘﺪم ﻓﻲ اﻟﺼﻨﺎﻋﺔ ﺧﻼل اﻟﺜﻮرة اﻟﺼﻨﺎﻋﯿﺔ ﻗﺪﻣﺖ ﻣﺮﺗﺒﺔ ﺟﺪﯾﺪة ﻓﻲ اﻟﺤﻀﺎرة اﻹﻧﺴﺎﻧﯿﺔ‪ -‬ﻓﻲ اﻟﺰراﻋﺔ‪ ,‬اﻟﺼﻨﺎﻋﺔ‪ ,‬واﻟﺤﯿﺎة اﻟﻤﻨﺰﻟﯿﺔ‪ .‬اﻟﻤﻜﻨﻨﺔ‬ ‫)ﺗﺤﻮﯾﻞ ﻛﻞ ﺷﻲ اﻟﻰ آﻟﺔ( ﻗﺪﻣﺖ ﻣﺤﺎﺻﯿﻞ ﻓﺎﺋﻘﺔ و طﻌﺎم اﻛﺜﺮ‪ ,‬ﺑﻀﺎﺋﻊ ﻣﻨﺘﺠﺔ ﺑﻜﻤﯿﺎت ھﺎﺋﻠﺔ‪ ,‬ﺗﻮاﺻﻞ وﺗﻨﻘﻞ اﺳﺮع وارﺧﺺ‪ ,‬و ﺣﯿﺎة ﺑﺠﻮدة اﻓﻀﻞ‬ ‫ﺑﺸﻜﻞ ﻋﺎم‪ .‬و اﻟﺤﻮﺳﺒﺔ ﺗﻘﻮم اﻵن ﺑﻨﻔﺲ اﻟﺸﻲء ‪ -‬ﻣﻦ اﻟﺰراﻋﺔ اﻵﻟﯿﺔ اﻟﻰ اﻟﻤﻌﺪات اﻟﻄﺒﯿﺔ‪ ,‬اﻟﻰ اﻹﺗﺼﺎﻻت اﻟﻌﺎﻟﻤﯿﺔ واﻟﻔﺮص اﻟﺘﻌﻠﯿﻤﯿﺔ‪ ,‬وﺣﺪود ﺟﺪﯾﺪة‬ ‫ﺗﻤﺎﻣﺎ ً ﻛـ اﻟﻮاﻗﻊ اﻻﻓﺘﺮاﺿﻲ واﻟﺴﯿﺎرات ذاﺗﯿﺔ اﻟﻘﯿﺎدة‪ .‬ﻧﺤﻦ ﻧﻌﯿﺶ ﺑﺰﻣﻦ ﺳﯿﺘﻢ اﻹﺷﺎرة ﻟﮫ ﻋﻠﻰ اﻻﻏﻠﺐ "ﺑﺎﻟﻌﺼﺮ اﻻﻟﻜﺘﺮوﻧﻲ"! ﻣﻊ وﺟﻮد ﻣﻠﯿﺎرات‬ ‫اﻟﺘﺮاﻧﺴﺰﺗﻮرات ﻓﻲ ھﺎﺗﻔﻚ اﻟﺬﻛﻲ‪ ,‬اﻟﺤﻮاﺳﯿﺐ ﺗﺒﺪو ﻣﻌﻘﺪة ﻗﻠﯿﻼ‪ ,‬ﻟﻜﻦ ﻓﻌﻠﯿﺎ ً‪ ,‬إﻧﮭﺎ ﻣﺠﺮد آﻻت ﺗﻘﻮم ﺑﺄﻋﻤﺎل ﻣﻌﻘﺪة ﺧﻼل طﺒﻘﺎت ﻋﺪﯾﺪة اﻟﺘﺠﺮﯾﺪ )اﻻﻓﻜﺎر‬ ‫اﻟﻤﺒﺴﻄﺔ( وﺑﮭﺬه اﻟﺴﻠﺴﻠﺔ‪ ,‬ﺳﻨﻔﻜﻚ ھﺬه اﻟﻄﺒﻘﺎت‪ ,‬وﻧﺮﺗﻘﻲ ﻣﻦ اﻻﺻﻔﺎر واﻟﻮاﺣﺪات اﻟﺒﺴﯿﻄﺔ اﻟﻰ اﻟﻮﺣﺪات اﻟﻤﻨﻄﻘﯿﺔ‪ ,‬وﺣﺪات اﻟﻤﻌﺎﻟﺠﺔ‬ ‫اﻟﻤﺮﻛﺰﯾﺔ)اﻟﻤﻌﺎﻟﺠﺎت(‪ ,‬اﻧﻈﻤﺔ اﻟﺘﻐﺸﯿﻞ‪ ,‬اﻻﻧﺘﺮﻧﺖ ﺑﻜﺎﻣﻠﮫ‪ ..‬وﻣﺎ ﺑﻌﺪھﺎاا ﻻ ﺗﻘﻠﻖ‪ ,‬ﺑﻨﻔﺲ اﻟﻄﺮﯾﻘﺔ اﻟﺘﻲ ﺗﻌﻨﻲ ان اﻟﺸﺨﺺ اﻟﺬي ﯾﺸﺘﺮي ﻗﻤﺼﺎن ﻣﻦ ﺻﻔﺤﺔ‬ ‫ﻣﺎ ﻋﻠﻰ اﻟﻮﯾﺐ ﻟﯿﺲ ﻣﺠﺒﺮاً ان ﯾﻌﺮف ﻛﯿﻒ ﺗﻤﺖ ﺑﺮﻣﺠﺔ ھﺬه اﻟﺼﻔﺤﺔ‪ ,‬ﺣﺘﻰ ﻣﺼﻤﻢ اﻟﻮﯾﺐ ﻻ ﯾﺘﺤﺎج ان ﯾﻌﺮف ﻛﯿﻒ ﻛﻞ ھﺬه اﻟﺮزم ﺗﻢ ﺗﻮﺟﯿﮭﮭﺎ‪ ,‬وﺣﺘﻰ‬ ‫ﻣﮭﻨﺪﺳﻲ اﻟﻤﻮﺟﮭﺎت)اﻟﺮاوﺗﺮات( ﻻ ﺗﺤﺘﺎج ان ﺗﻌﺮف ﻣﻨﻄﻖ اﻟﺘﺮاﻧﺰﺳﺘﻮر‪ ,‬ﺳﺘُﺒﻨﻰ ھﺬه اﻟﺴﻠﺴﻠﺔ ﻋﻠﻰ ﺣﻠﻘﺎت ﺳﺎﺑﻘﺔ وﻟﻜﻦ ﻟﻦ ﺗﻌﺘﻤﺪ ﻋﻠﯿﮭﺎ‪ .‬ﻓﻲ ﻧﮭﺎﯾﺔ ھﺬه‬ ‫اﻟﺴﻠﺴﻠﺔ‪ ,‬اﺗﻤﻨﻰ ان ﺗﺼﺒﺢ اﻓﻀﻞ ﺑﻮﺿﻊ إطﺎر دور اﻟﺤﺎﺳﻮب ﻓﻲ ﺣﯿﺎﺗﻚ اﻟﺸﺨﺼﯿﺔ واﻟﻤﺠﺘﻤﻊ ﻋﻠﻰ ﺣﺪ ﺳﻮاء‪ ,‬وﺗﻌﻠﻢ ﻛﯿﻒ ان اﻋﻈﻢ اﺧﺘﺮاع ﻟﻠﺒﺸﺮﯾﺔ‬ ‫ھﻮ ﻓﻲ ﻣﺮﺣﻠﺘﮫ اﻟﻄﻔﻮﻟﯿﺔ وﺗﺄﺛﯿﺮاﺗﮫ اﻟﻌﻈﯿﻤﺔ آﺗﯿﺔ‪ .‬ﻟﻜﻦ ﻗﺒﻞ اﻟﺒﺪء ﺑﻜﻞ ھﺬا‪ ,‬ﯾﺠﺐ ﻋﻠﯿﻨﺎ اﻟﺒﺪء ﺑﺄﺻﻞ اﻟﺤﻮﺳﺒﺔ ﻷﻧﮫ ﻋﻠﻰ اﻟﺮﻏﻢ ﻣﻦ ان اﻟﺤﻮاﺳﺐ‬


‫اﻻﻟﻜﺘﺮوﻧﯿﺔ ھﻲ ﺣﺪﯾﺜﺔ ﻧﺴﺒﯿﺎ‪ ,‬اﻟﺤﺎﺟﺔ ﻟﻠﺤﻮﺳﺒﺔ ﻟﯿﺴﺖ ﻛﺬﻟﻚ‪ .‬أﻗﺪم ﺟﮭﺎز ﻣﻌﺮف ﻟﻠﺤﻮﺳﺒﺔ ﻛﺎن اﻟﻌﺪاد‪ ,‬ﺗﻢ اﺧﺘﺮاﻋﮫ ﻓﻲ "ﻣﯿﺴﻮﺑﻮﺗﺎﻣﯿﺎ" ﻓﻲ ﺣﻮاﻟﻲ ‪2500‬‬ ‫ﻗﺒﻞ اﻟﻤﯿﻼد‪ .‬أﺳﺎﺳﯿﺎ ً ھﻲ ﺣﺎﺳﺒﺔ ﻣﺪارة ﺑﺎﻟﯿﺪ ﺗﺴﺎﻋﺪ ﻓﻲ ﺟﻤﻊ وطﺮح ارﻗﺎم ﻋﺪﯾﺪة وأﯾﻀﺎ ﺗﺨﺰن اﻟﺤﺎﻟﺔ اﻵﻧﯿﺔ ﻟﮭﺬه اﻟﻌﻤﻠﯿﺔ‪ ,‬ﺗﺸﺒﮫ ﻣﺎ ﯾﻔﻌﻠﮫ اﻟﯿﻮم اﻟﻘﺮص‬ ‫اﻟﺼﻠﺐ ﻓﻲ ﺟﮭﺎزك‪ .‬ﺗﻢ اﺧﺘﺮاع اﻟﻌﺪاد ﻷن ﺣﺠﻢ اﻟﻤﺠﺘﻤﻊ اﺻﺒﺢ اﻛﺒﺮ ﻣﻦ اﺳﺘﻄﺎﻋﺔ ﺷﺨﺺ واﺣﺪ أن ﯾﺤﺼﯿﮭﻢ وﯾﻌﺎﻟﺠﮭﻢ ﻓﻲ ﻋﻘﻠﮫ‪ .‬ﻣﻦ اﻟﻤﻤﻜﻦ وﺟﻮد‬ ‫آﻻف اﻻﺷﺨﺎص ﻓﻲ ﻗﺮﯾﺔ او ﻋﺸﺮات اﻵﻻف ﻓﻲ ﻣﺎﺷﯿﺔ ﻣﺎ‪ .‬ھﻨﺎك ﺗﻨﻮﻋﺎت ﻋﺪﯾﺪة ﻣﻦ اﻟﻌﺪاد‪ ,‬ﻟﻜﻦ ﻟﻨﻠﻘﻲ ﻧﻈﺮة ﻋﻠﻰ اﻟﻨﺴﺨﺔ اﻟﺒﺴﯿﻄﺔ ﻣﻨﮫ ﺣﯿﺚ ﻛﻞ‬ ‫ﺻﻒ ﯾﻤﺜﻞ ﻗﻮة ﻣﺨﺘﻠﻒ ﻣﻦ اﻟﻌﺸﺮة ﻟﺬا ﻛﻞ ﺣﺒﺔ ﻋﻠﻰ اﻟﺼﻒ اﻟﺴﻔﻠﻲ ﺗﻤﺜﻞ وﺣﺪة واﺣﺪة‪ ,‬ﻓﻲ اﻟﺼﻒ اﻟﺬي ﺑﻌﺪه ﯾﻤﺜﻠﻮن ‪ ,10‬واﻟﺬي ﻓﻮﻗﮫ ‪..100‬وھﻜﺬا‪.‬‬ ‫ﻟﻨﻘﻮل ان ﻟﺪﯾﻨﺎ ﺛﻼث رؤوس ﻣﻦ اﻟﻤﺎﺷﯿﺔ ﺗُﻤﺜَﻞ ﻓﻲ اﻟﺼﻒ اﻷﺳﻒ ﻋﻠﻰ اﻟﻄﺮف اﻷﯾﻤﻦ ﻓﺈذا اردﻧﺎ ان ﻧﺸﺘﺮي ‪ 4‬ﻣﻮاﺷﻲ اﺧﺮى‪ ,‬ﻓﻘﻂ ﻧﺰﯾﺢ ‪ 4‬ﺣﺒﺎت إﻟﻰ‬ ‫اﻟﯿﻤﯿﻦ ﻟﯿﺼﺒﺢ اﻟﻌﺪد اﻟﻜﻠﻲ ‪ 7‬وﻟﻜﻦ إذا اردﻧﺎ ان ﻧﻀﯿﻒ ‪ 5‬ﻣﻮاﺷﻲ اﺧﺮى ﻓﻮق اﻟـ‪ 3‬اﻷوﻟﻰ ﻓﺴﺘﻨﻔﺬ ﻣﻨﺎ اﻟﺤﺒﺎت‪ ,‬ﻟﺬا ﺳﻨﺰﯾﺢ ﻛﻞ ﺷﻲء ﻟﻠﯿﺴﺎر‪ ,‬وﻧﺰﯾﺢ ﺣﺒﺔ‬ ‫واﺣﺪة ﻣﻦ اﻟﺼﻒ اﻟﺜﺎﻧﻲ ﻟﻠﯿﻤﯿﻦ‪ ,‬واﻟﺘﻲ ﺗﻤﺜﻞ ﻋﺸﺮة‪ ,‬ﺛﻢ ﻧﻀﯿﻒ ﺣﺒﺘﯿﻦ ﻣﻦ اﻟﺼﻒ اﻷﺳﻔﻞ ﻟﯿﺼﺒﺢ اﻟﻌﺪد اﻟﻨﮭﺎﺋﻲ ‪ .12‬ھﺬه اﻟﻄﺮﯾﻘﺔ ﻋﻤﻠﯿﺔ ﻟﻸﻋﺪاد‬ ‫اﻟﻜﺒﯿﺮة‪ .‬ﻓﺈذا اردﻧﺎ ان ﻧﻀﯿﻒ ‪ ,1251‬ﻓﺴﻨﻀﯿﻒ ‪ 1‬ﻟﻠﺼﻒ اﻷﺳﻔﻞ‪ 5 ,‬ﻟﻠﺼﻒ اﻟﺜﺎﻧﻲ ‪ 2‬ﻟﻠﺼﻒ اﻟﺜﺎﻟﺚ‪ ,‬و ‪ 1‬ﻟﻠﺼﻒ اﻟﺮاﺑﻊ‪ ,‬وﺑﮭﺬا ﻻداﻋﻲ ﻷن ﻧﺠﻤﻊ‬ ‫ﻓﻲ ﻋﻘﻮﻟﻨﺎ‪ ..‬اﻟﻌﺪاد ﯾﺨﺰن ﻟﻨﺎ اﻟﻌﺪد اﻟﻜﻠﻲ ‪ .‬ﺧﻼل اﻟـ ‪ 4000‬ﺳﻨﺔ اﻟﺘﻲ ﺗﻠﺖ‪ ,‬طﻮر اﻟﺒﺸﺮ ﻣﺨﺘﻠﻒ اﻷﻧﻮاع ﻣﻦ اﺟﮭﺰة اﻟﺤﺴﺎب‪ ..‬ﻛـ اﻹﺳﻄﺮﻻب‪ ,‬واﻟﺬي‬ ‫ﺳﻤﺢ ﻟﻠﺴﻔﻦ ﺑﺤﺴﺎب ارﺗﻔﺎﻋﮭﻢ ﻓﻲ اﻟﺒﺤﺮ‪ .‬أو اﻟﻤﺴﻄﺮة اﻟﻤﻨﺰﻟﻘﺔ‪ ,‬ﻟﻠﻤﺴﺎﻋﺪة ﻓﻲ اﻟﻀﺮب واﻟﺘﻘﺴﯿﻢ وھﻨﺎك ﺣﺮﻓﯿﺎ ً ﻣﺌﺎت اﻷﻧﻮاع ﻣﻦ اﻟﺴﺎﻋﺎت اﻟﺘﻲ ﯾﻤﻜﻦ‬ ‫اﺳﺘﻌﻤﺎﻟﮭﺎ ﻟﺤﺴﺎب اﻟﺸﺮوق‪ ,‬اﻟﻤﺪ واﻟﺠﺰر‪ ,‬ﻣﻮاﺿﻊ اﻷﺟﺮام اﻟﺴﻤﺎوﯾﺔ وﺣﺘﻰ ﺣﺴﺎب اﻟﻮﻗﺖ ﻓﻘﻂ‪ .‬ﻛﻞ ﻣﻦ ھﺬه اﻷﺟﮭﺰة ﺟﻌﻠﺖ ﺣﺴﺎب اﻟﺸﻲء اﻟﺬي ﻛﺎن‬ ‫ﻓﻲ اﻟﺴﺎﺑﻖ ﻣﺮھﻖ اﺳﺮع‪ ,‬أﺳﮭﻞ‪ ,‬وﻓﻲ ﻣﻌﻈﻢ اﻷﺣﯿﺎن اﻛﺜﺮ دﻗﺔ‪ .‬ﻓﮭﻲ ﺧﻔﻀﺖ ﺣﺎﺟﺰ اﻟﺪﺧﻮل‪ ,‬وﻓﻲ اﻟﻮﻗﺖ ﻧﻔﺴﮫ ﺿﺨﻤﺖ ﻗﺪراﺗﻨﺎ اﻟﻌﻘﻠﯿﺔ‪ .‬ﺳﺠﻞ‬ ‫ﻣﻼﺣﻈﺔ! ھﺬه اﻟﺴﻤﺔ ﺳﻨﻌﺒﺮ ﻋﻠﯿﮭﺎ ﻛﺜﯿﺮا ﺧﻼل اﻟﺴﻠﺴﻠﺔ‪ .‬ﻛـ راﺋﺪ ﻓﻲ اﻟﺤﺎﺳﻮب "ﺗﺸﺎرﻟﺰ ﺑﺎﺑﯿﺞ" ﻗﺎل‪" :‬ﻛﻠﻤﺎ زادت اﻟﻤﻌﺮﻓﺔ و زاد اﺧﺘﺮاع اﻟﺠﺪﯾﺪ‪ ,‬اﻟﻌﻤﺎﻟﺔ‬ ‫اﻟﺒﺸﺮﯾﺔ ﺗﺼﺒﺢ ﻣﺨﺘﺼﺮة‪ ".‬وﻣﻊ ذﻟﻚ‪ ,‬وﻻ ﺟﮭﺎز ﻣﻦ ھﺬه اﻷﺟﮭﺰة ﻟﻘﺒﺖ ﺑﺎﻟـ"ﻛﻤﺒﯿﻮﺗﺮ"‪ .‬اﻗﺪم اﺳﺘﺨﺪام ﻣﺴﺠﻞ ﻟﻜﻠﻤﺔ "ﻛﻤﺒﯿﻮﺗﺮ" ﻛﺎن ﻓﻲ ‪ ,1613‬ﻓﻲ‬ ‫ﻛﺘﺎب ﻟـ "رﯾﺘﺸﺎرد ﺑﺮاﯾﺜﻮاﯾﺖ"‪ .‬وﻟﻢ ﺗﻜﻦ آﻟﺔ ﻋﻠﻰ اﻹطﻼق‪ ,‬ﻓﻘﺪ ﻛﺎن ﻟﻘﺐ ﻋﻤﻞ‪) .‬ﺑﺮاﯾﺜﻮاﯾﺖ( ﻗﺎل‪ " :‬ﻗﺮأت اﺻﺪق ﻛﻤﺒﯿﻮﺗﺮ ﻓﻲ اﻷزﻣﺎن‪ ,‬و أﻓﻀﻞ ﺧﺒﯿﺮ‬ ‫ﻓﻲ ﻋﻠﻢ اﻟﺤﺴﺎب ﺗﻨﻔﺲ‪ ,‬وﯾﻘﻠﺺ ﻋﺪد أﯾﺎﻣﮫ ﻓﻲ أرﻓﺎم ﻗﺼﯿﺮة" ﻓﻲ ﺗﻠﻚ اﻷﯾﺎم‪ ,‬اﻟﻜﻤﺒﯿﻮﺗﺮ ﻛﺎن اﻟﺸﺨﺺ اﻟﺬي ﯾﻘﻮم ﺑﺎﻟﺤﺴﺎب‪ ,‬ﺑﻌﺾ اﻷﺣﯿﺎن ﺑﻤﺴﺎﻋﺪة‬ ‫اﻵﻻت‪ ,‬ﻟﻜﻦ ﻣﻌﻈﻢ اﻷﺣﯿﺎن ﺑﺪوﻧﮭﺎ‪ .‬ﻟﻘﺐ اﻟﻌﻤﻞ ھﺬا اﺳﺘﻤﺮ ﺣﺘﻰ ﻧﮭﺎﯾﺎت اﻟﻘﺮن اﻟﺘﺎﺳﻊ ﻋﺸﺮ‪ ,‬ﺣﯿﺚ ﺑﺪأ ﻣﻌﻨﻰ اﻟﻜﻤﺒﯿﻮﺗﺮ ﺑﺎﻹﺷﺎرة ﻟﻸﺟﮭﺰة‪ .‬اﻟﺠﺪﯾﺮ‬ ‫ﺑﺎﻟﻤﻼﺣﻈﺔ ﻣﻦ ھﺬه اﻷﺟﮭﺰة ﻛﺎن "ﺣﺎﺳﺐ اﻟﺨﻄﻮة" ﺑُﻨِﻲ ﻣﻦ ﻗِﺒﻞ اﻟﻌﺎﻟﻢ اﻷﻟﻤﺎﻧﻲ "ﺟﻮﺗﻔﺮﯾﺪ ﻻﯾﻼﻧﯿﺰ" ﻓﻲ اﻟﻌﺎم ‪ .1694‬ﻻﯾﺒﻨﯿﺰ ﻗﺎل‪ ..":‬إﻧﮭﺎ ﻟﺘﻘﻠﯿﻞ ﻣﻦ‬ ‫ﻛﺮاﻣﺔ اﻟﺮﺟﺎل اﻟﻤﺘﻔﻮﻗﯿﻦ أن ﯾﻀﯿﻌﻮا وﻗﺘﮭﻢ ﺑﺎﻟﺤﺴﺎب ﺑﯿﻨﻤﺎ أي ﻓﻼح ﯾﻤﻜﻦ ان ﯾﻔﻌﻞ اﻟﺸﻲء ﻧﻔﺴﮫ وﺑﻨﻔﺲ اﻟﺪﻗﺔ ﺑﻤﺴﺎﻋﺪة آﻟﺔ‪ ".‬ﻛﺎﻧﺖ ﺗﻌﻤﻞ )ﺣﺎﺳﺐ‬ ‫اﻟﺨﻄﻮة( ﺗﻘﺮﯾﺒﺎ ﺑﻨﻔﺲ ﻣﺒﺪأ ﻋﻤﻞ ﻋﺪاد اﻟﻤﺴﺎﻓﺎت ﻓﻲ ﺳﯿﺎرﺗﻚ‪ ,‬واﻟﺘﻲ ھﻲ ﻣﺠﺮد آﻟﺔ ﺗﻀﯿﻒ ﻋﺪد اﻟﻜﯿﻠﻮﻣﺘﺮات اﻟﺘﻲ ﻗﺪﺗﮭﺎ ﻓﻲ ﺳﯿﺎرﺗﻚ‪ .‬ﻛﺎن ﻟﺪى اﻟﺠﮭﺎز‬ ‫ﺳﻠﺴﻠﺔ ﻣﻦ اﻟﻤﺴﻨﻨﺎت اﻟﺘﻲ ﺗﺪور‪ .‬ﻛﻞ ﻣﺴﻨﻦ ﯾﻤﻠﻚ ﻋﺸﺮة اﺳﻨﺎن‪ ,‬ﻣﻤﺜﻼً اﻻرﻗﺎم ﻣﻦ ‪ 0‬اﻟﻰ ‪ .9‬ﻛﻠﻤﺎ ﻛﺎن اﻟﻤﺴﻨﻦ ﯾﺠﺘﺎز اﻟﺘﺴﻌﺔ‪ ,‬ﯾﻌﻮد ﻣﺠﺪدا ﻟﻠﺼﻔﺮ ﻣﺪﯾﺮاً‬ ‫اﻟﻤﺴﻨﻦ اﻟﻤﺠﺎور ﺳﻦ واﺣﺪ‪ .‬ﺑﺎﻟﻤﺜﻞ ﺗﻘﺮﯾﺒﺎ ً ﻋﻨﺪ اﻟﻮﺻﻮل ﻟﻠﻌﺸﺮة ﻓﻲ اﻟﻌﺪاد اﻟﺒﺴﯿﻂ‪ .‬وھﺬه اﻟﻌﻤﻠﯿﺔ ﺗﻌﻤﻞ ﺑﺎﻟﻌﻜﺲ ﻋﻦ اﻟﻄﺮح‪ .‬ﺑﺒﻌﺾ اﻟﺤﯿﻞ اﻟﻤﯿﻜﺎﻧﯿﻜﯿﺔ‪,‬‬ ‫ﺣﺎﺳﺐ اﻟﺨﻄﻮة ﻛﺎن ﻗﺎدراً اﯾﻀﺎ ً ﻋﻠﻰ ﺿﺮب وﺗﻘﺴﯿﻢ اﻷرﻗﺎم‪ .‬اﻟﻀﺮب واﻟﺘﻘﺴﯿﻢ ھﻲ ﺣﻘﺎ ً ﻣﺠﺮد ﺟﻤﻊ ﻣﺘﻌﺪد و طﺮح ﻣﺘﻌﺪد‪ .‬ﻋﻠﻰ ﺳﺒﯿﻞ اﻟﻤﺜﻼ‪ ,‬إذا اردﻧﺎ‬ ‫ان ﻧﻘﺴﻢ ‪ 15‬ﻋﻠﻰ ‪ ,5‬ﻓﻘﻂ ﻧﻘﻮم ﺑﻄﺮح ‪ 5‬ﺛﻢ ‪ 5‬ﺛﻢ ‪ 5‬ﻣﺮة اﺧﺮى‪ ,‬ﻋﻨﺪھﺎ ﻻ ﯾﻤﻜﻨﻨﺎ ان ﻧﻄﺮح أي ‪ 5‬ﺑﻌﺪ اﻵن‪ ..‬وﺑﺬﻟﻚ ﻧﻌﻠﻢ أن ال ‪ 5‬ﺗﺘﺴﻊ ﺿﻤﻦ ال‪17‬‬ ‫ﺛﻼث ﻣﺮات‪ ,‬ﺑـ ‪ 2‬ﺑﺎﻗﻲ‪ .‬ﺣﺎﺳﺐ اﻟﺨﻄﻮة ﻛﺎن ﻗﺎدراً ﻋﻠﻰ ﻓﻌﻞ ﻧﻔﺲ اﻟﺸﻲء ﺑﻄﺮﯾﻘﺔ آﻟﯿﮫ‪ ,‬وﻛﺎن اﻵﻟﺔ اﻷوﻟﻰ اﻟﻘﺎدرة ﻋﻠﻰ ﻓﻌﻞ ﺟﻤﯿﻊ اﻟﻌﻤﻠﯿﺎت اﻟﺤﺴﺎﺑﯿﺔ‪.‬‬ ‫ھﺬا اﻟﺘﺼﻤﯿﻢ ﻛﺎن ﻧﺎﺟﺤﺎ ً ﺟﺪا وﺗﻢ اﺳﺘﺨﺪاﻣﮫ ﻛﺘﺼﻤﯿﻢ ﻟﻶﻻت اﻟﺤﺎﺳﺒﺔ ﺧﻼل اﻟﺜﻼث ﻗﺮون اﻟﺘﻲ ﺗﻠﺖ ﻟﺴﻮء اﻟﺤﻆ‪ ,‬ﺣﺘﻰ ﺑﻮﺟﻮد اﻟﺤﺎﺳﺒﺎت اﻵﻟﯿﺔ‪ ,‬ﻣﻌﻈﻢ‬ ‫ﻣﺸﺎﻛﻞ اﻟﻮاﻗﻌﯿﺔ ﺗﻄﻠﺒﺖ ﺧﻄﻮات ﺣﺴﺎﺑﯿﺔ ﻋﺪﯾﺪة ﻗﺒﻞ ﺗﺤﺪﯾﺪ اﻹﺟﺎﺑﺔ‪ .‬ﻣﻦ اﻟﻤﻤﻜﻦ ان ﺗﺄﺧﺬ ﺳﺎﻋﺎت او أﯾﺎم ﻟﺘﻨﺘﺞ ﻧﺘﯿﺠﺔ واﺣﺪة‪ .‬ﺣﺘﻰ ھﺬه اﻵﻻت اﻟﻤﺼﻨﻌﺔ‬ ‫ﯾﺪوﯾﺎ ً ﻛﺎﻧﺖ ﻏﺎﻟﯿﺔ‪ ,‬وﻏﯿﺮ ﻗﺎﺑﻞ ﻟﻠﻮﺻﻮل ﻟﻤﻌﻈﻢ اﻟﺴﻜﺎن‪ .‬ﻟﺬا‪ ,‬ﻗﺒﻞ اﻟﻘﺮن اﻟﻌﺸﺮﯾﻦ‪ ,‬ﻣﻌﻈﻢ اﻟﻨﺎس ﺟﺮﺑﺖ اﻟﺤﻮﺳﺒﺔ ﻣﻦ ﺧﻼل اﻟﺠﺪاول اﻟﻤﺤﺴﻮﺑﺔ ﻣﺴﺒﻘﺎ ً‬ ‫واﻟﺘﻲ ﺟﻤﻌﺖ ﻣﻦ ﻗﺒﻞ اﻟـ "اﻟﻜﻤﺒﯿﻮﺗﺮات اﻟﺒﺸﺮﯾﺔ" اﻟﺮاﺋﻌﺔ اﻟﺘﻲ ﺗﻜﻠﻤﻨﺎ ﻋﻨﮭﺎ ﻣﻦ ﻗﺒﻞ‪ .‬ﻓﺈذا اردﻧﺎ ان ﻧﻌﺮف اﻟﺠﺬر اﻟﺘﺮﺑﯿﻌﻲ ﻟـ ‪ 8‬ﻣﻠﯿﻮن و ‪ 675‬اﻟﻒ‬ ‫وﺛﻼﺛﻤﺌﺔ و ﺗﺴﻌﺔ ﺑﺪﻻً ﻣﻦ ﻧﻀﯿﻊ ﯾﻮﻣﺎ ﺑﻜﺎﻣﻠﮫ ﺑﺘﺠﮭﯿﺰ ﺣﺎﺳﺐ اﻟﺨﻄﻮة‪ ..‬ﯾﻤﻜﻦ ان ﺗﺒﺤﺚ اﻟﺠﻮاب ﺧﻼل دﻗﯿﻘﺔ ﺗﻘﺮﯾﺒﺎ ﻓﻲ ﻛﺘﺎب ﯾﻀﻢ ﺟﺪاول ﻟﺠﻤﯿﻊ‬ ‫اﻟﺠﺬور اﻟﺘﺮﺑﯿﻌﯿﺔ‪ .‬اﻟﺴﺮﻋﺔ واﻟﺪﻗﺔ ﻋﻮاﻣﻞ ھﺎﻣﺔ ﺟﺪاً ﻓﻲ ﻣﯿﺪان اﻟﻤﻌﺮﻛﺔ‪ ,‬وﻟﺬﻟﻚ اﻟﻘﻮات اﻟﻌﺴﻜﺮﯾﺔ ﻛﺎن ﻣﻦ اول ﻣﻦ طﺒﻖ اﻟﺤﻮﺳﺒﺔ ﻋﻠﻰ اﻟﻤﺸﺎﻛﻞ اﻟﻤﻌﻘﺪة‪.‬‬ ‫ﻣﺸﻜﻠﺔ ﺑﺎرزة ﻛﺎﻧﺖ اطﻼق اﻟﻤﺪﻓﻌﯿﺔ ﺑﺪﻗﺔ‪ ,‬واﻟﺘﻲ ﺧﻼل اﻟﻘﺮن اﻟﺘﺎﺳﻊ ﻋﺸﺮ ﯾﻤﻜﻦ ان ﺗﻘﻄﻊ اﻛﺜﺮ ﻣﻦ ﻛﯿﻠﻮﻣﺘﺮ )اﻛﺜﺮ ﻣﻦ ﻧﺼﻒ ﻣﯿﻞ ﺗﻘﺮﯾﺒﺎ(‪ .‬ﻣﻀﯿﻔﺎ ً‬ ‫ﻋﻠﻰ ذﻟﻚ ظﺮوف اﻟﺮﯾﺎح اﻟﻤﺘﻐﯿﺮة‪ ,‬اﻟﺤﺮارة‪ ,‬واﻟﻀﻐﻂ اﻟﺠﻮي‪ ,‬ﺣﺘﻰ ﺿﺮب ﺷﻲء ﺿﺨﻢ ﺑﺤﺠﻢ ﺳﻔﯿﻨﺔ ﻛﺎن ﺻﻌﺒﺎ ً ﻋﻠﯿﮭﻢ‪ .‬ﺟﺪاول اﻟﻤﺪى ﺳﻤﺤﺖ‬ ‫ﻟﻠﻤﺼﻮﺑﯿﻦ ﺑﺎﻟﺒﺤﺚ ﻋﻦ اﻟﻈﺮوف اﻟﻤﻨﺎﺧﯿﺔ واﻟﺒﻌﺪ اﻟﺬي ﯾﺮﯾﺪون اﻟﻘﺼﻒ ﻣﻨﮫ‪ ,‬وﯾﻘﻮم اﻟﺠﺪول ﺑﺈﻋﻄﺎﺋﮭﻢ اﻟﺰاوﯾﺔ اﻟﺘﻲ ﯾﺠﺐ ﺿﺒﻄﮭﺎ ﻋﻠﻰ اﻟﻤﺪﻓﻊ‪ .‬ﺟﺪاول‬ ‫اﻟﻤﺪى ھﺬه ﻋﻤﻠﺖ ﺑﺸﻜﻞ ﺟﯿﺪ ﺟﺪاً‪ ,‬ﺣﺘﻰ أن ﺗﻢ اﺳﺘﺨﺪاﻣﮭﻢ ﺧﻼل اﻟﺤﺮب اﻟﻌﺎﻟﻤﯿﺔ اﻟﺜﺎﻧﯿﺔ‪ .‬اﻟﻤﺸﻜﻠﺔ ﻛﺎن‪ ,‬اذا ﻏﯿﺮت ﺗﺼﻤﯿﻢ اﻟﻤﺪﻓﻊ او اﻟﻘﺬﯾﻔﺔ‪ ,‬ﯾﺠﺐ ان ﯾﺘﻢ‬ ‫ﺣﺴﺎب ﺟﺪول ﺟﺪﯾﺪ ﻛﻠﯿﺎ ً‪ ,‬واﻟﺬي ﻛﺎن ﻣﺴﺘﮭﻠﻜﺎ ً ﻟﻠﻮﻗﺖ ﺑﺸﻜﻞ ھﺎﺋﻞ وﺑﻨﮭﺎﯾﺔ اﻟﻤﻄﺎف ﯾﻘﻮد ﻷﺧﻄﺎء‪" .‬ﺗﺸﺎرﻟﺰ ﺑﺎﺑﺒﯿﺞ" ﻋّﺮف ھﺬه اﻟﻤﺸﻜﻠﺔ ﻓﻲ اﻟـ ‪1822‬‬ ‫ﻓﻲ ورﻗﺔ ﻟﻠﻤﺠﺘﻤﻊ اﻟﻤﻠﻜﻲ اﻟﻔﻠﻜﻲ ﺑﻌﻨﻮان ‪ ":‬ﻣﻼﺣﻈﺔ ﻋﻠﻰ اﻟﺘﻄﺒﯿﻖ اﻵﻟﻲ ﺑﺤﺴﺎب اﻟﺠﺪاول اﻟﻔﻠﻜﯿﺔ واﻟﺮﯾﺎﺿﯿﺔ" ﻟﻨﺬھﺐ ﻟﻔﻘﺎﻋﺔ اﻟﻔﻜﺮ‪ .‬ﺗﺸﺎﻟﺰ ﺑﺎﺑﺒﯿﺞ ﻗﺪم‬ ‫ﺟﮭﺎز ﻣﯿﻜﺎﻧﯿﻜﻲ ﺟﺪﯾﺪ ﯾﺪﻋﻰ ﻣﺤﺮك اﻹﺧﺘﻼف‪ ,‬آﻟﺔ ﻣﻌﻘﺪة ﺟﺪاً ﺗﺴﺘﻄﯿﻊ ﺗﻘﺮﯾﺐ ﻣﺘﻌﺪدو اﻟﺤﺪود) ﺑﻮﻟﯿﻨﻮﻣﯿﺎﻟﺲ‪ ,‬ﻣﺼﻄﻠﺢ رﯾﺎﺿﻲ( ﻣﺘﻌﺪدو اﻟﺤﺪود ﺗﺸﺮح‬ ‫اﻟﻌﻼﻗﺔ ﺑﯿﻦ اﻟﻌﺪﯾﺪ ﻣﻦ اﻟﻤﺘﻐﯿﺮات ﻛـ اﻟﻤﺪى و ﺿﻐﻂ اﻟﮭﻮاء‪ ,‬أو ﻛﻤﯿﺔ اﻟﺒﯿﺘﺰا اﻟﺘﻲ ﺗﺄﻛﻞ ﻛﺎري آن و اﻟﺴﻌﺎدة‪ .‬ﯾﻤﻜﻦ اﺳﺘﺨﺪام ﻣﺘﻌﺪدي اﻟﺤﺪود ﻟﺘﻘﺮﯾﺐ‬ ‫اﻟﻤﻌﺎدﻻت اﻟﻠﻮﻏﺎرﺗﻤﯿﺔ واﻟﻤﺜﻠﺜﯿﺔ‪ ,‬وذﻟﻚ ﺻﺮاع ﺑﺤﺪ ذاﺗﮫ ﻟﺤﺴﺎﺑﮭﻢ ﺑﺎﻟﯿﺪ‪ .‬ﺑﺪأ ﺑﺎﺑﺒﺞ ﺑﺎﻟﺒﻨﺎء ﻋﺎم ‪ ,1823‬وﺧﻼل اﻟﻌﻘﺪﯾﻦ اﻟﺘﺎﻟﯿﯿﻦ‪ ,‬ﺣﺎول ﺻﻨﻊ و ﺗﺠﻤﯿﻊ‬ ‫ﻣﺎ ﯾﻘﺎرب ‪ 25000‬ﻗﻄﻌﺔ‪ ,‬ﺑﻮزن ﻛﻠﻲ ‪ 15‬طﻦ ﺗﻘﺮﯾﺒﺎ ً‪ .‬ﻟﺴﻮء اﻟﺤﻆ‪ ,‬اﻟﻤﺸﺮوع ﺗﻢ ھﺠﺮه ﺑﺎﻟﻨﮭﺎﯾﺔ‪ .‬ﻟﻜﻦ ﻓﻲ ‪ ,1991‬اﻧﮭﻰ اﻟﻤﺆرﺧﻮن ﺑﻨﺎء ﻣﺤﺮك‬ ‫اﺧﺘﻼف ﻣﺒﻨﻲ ﻋﻠﻰ رﺳﻮﻣﺎت و ﻛﺘﺎﺑﺎت ﺑﺎﺑﺒﺞ‪ .‬و ﻋﻤﻠﺖ اﻵﻟﺔ ﺑﺎﻟﻔﻌﻞ!! ﻟﻜﻦ اﻷﻛﺜﺮ اھﻤﯿﺔ‪ ,‬ان ﺧﻼل ﺑﻨﺎء ﻣﺤﺮك اﻷﺧﺘﻼف‪ ,‬ﺗﺨﯿﻞ ﺑﺎﺑﺒﺞ آﻟﺔ اﻛﺜﺮ‬ ‫ﺗﻌﻘﯿﺪاً‪ ..‬اﻟﻤﺤﺮك اﻟﺘﺤﻠﯿﻠﻲ‪ .‬ﻋﻠﻰ ﻋﻜﺲ ﻣﺤﺮك اﻻﺧﺘﻼف‪ ,‬ﺣﺎﺳﺐ اﻟﺨﻄﻮة و ﺟﻤﯿﻊ اﻻﺟﮭﺰة اﻟﺤﻮﺳﺒﯿﺔ اﻟﺘﻲ ﺳﺒﻘﺘﮭﺎ‪ ,‬اﻟﻤﺤﺮك اﻟﺘﺤﻠﯿﻠﻲ ﻛﺎن " ﻛﻤﺒﯿﻮﺗﺮ‬ ‫ﻟﻐﺮض ﻋﺎم" ﯾﻤﻜﻦ اﺳﺘﺨﺪاﻣﮫ ﻟﻌﺪﯾﺪ ﻣﻦ اﻷﺷﯿﺎء‪ ,‬ﻟﯿﺲ ﺣﺴﺎب ﺷﻲء ﻣﺤﺪد ﻓﻘﻂ‪ ,‬ﻓﯿﻤﻜﻦ إﻋﻄﺎﺋﮫ ﺑﯿﺎﻧﺎت ﻟﯿﻘﻮم ﺑﻌﻤﻠﯿﺎت ﻋﻠﻰ اﻟﺘﺘﺎﻟﻲ‪ ,‬ﻛﺎن ﯾﻤﻠﻚ ذاﻛﺮة و‬ ‫ﺣﺘﻰ طﺎﺑﻌﺔ ﺑﺪاﺋﯿﺔ‪ .‬و ﻛﻤﺤﺮك اﻻﺧﺘﻼف ﻛﺎن ﺳﺎﺑﻖ ﻋﺼﺮه‪ ,‬وﻟﻢ ﯾﺘﻢ ﺑﻨﺎءه ﻛﻠﯿﺎ ً‪ .‬وﻣﻊ ذﻟﻚ‪ ,‬ﻓﻜﺮة "اﻟﺤﺎﺳﺐ اﻵﻟﻲ" ‪ -‬ﻗﻄﻌﺔ ﺗﺴﺘﻄﯿﻊ ان ﺗﺮﺷﺪ ﻧﻔﺴﮭﺎ‬ ‫ﺧﻼل ﺳﻼﺳﻞ ﻣﻦ اﻟﻌﻤﻠﯿﺎت اﻻﺗﻮﻣﺎﺗﯿﻜﯿﺔ‪ ,‬ﻛﺎﻧﺖ ﺷﻲء ﻛﺒﯿﺮ‪ ,‬وﺗﺒﺸﺮ ﺑﻘﺪوم ﺑﺮاﻣﺞ اﻟﻜﻤﺒﯿﻮﺗﺮ‪ .‬ﻋﺎﻟﻤﺔ اﻟﺮﯾﺎﺿﯿﺎت اﻹﻧﻜﻠﯿﺰﯾﺔ "آدا ﻟﻮﻓﻠﯿﺲ" ﻛﺘﺒﺖ ﺑﺮﻧﺎﻣﺞ‬ ‫اﻓﺘﺮاﺿﻲ ﻟﻠﻤﺤﺮك اﻟﺘﺤﻠﯿﻠﻲ ﻗﺎﺋﻠﺔ‪" :‬ﻟﻐﺔ ﺟﺪﯾﺪة‪ ,‬واﺳﻌﺔ‪ ,‬وﻗﻮﯾﺔ ﻗﺪ طُﻮَرت ﻟﻺﺳﺘﺨﺪام اﻟﻤﺴﺘﻘﺒﻠﻲ ﻟﻠﺘﺤﻠﯿﻞ‪ ".‬وﻟﻌﻤﻠﮭﺎ‪) ,‬آدا( ﺗﻌﺘﺒﺮ أﻏﻠﺐ اﻷوﻗﺎت اﻟﻤﺒﺮﻣﺠﺔ‬ ‫اﻷوﻟﻰ ﻓﻲ اﻟﻌﺎﻟﻢ‪ .‬ﻣﺤﺮك اﻟﺘﺤﻠﯿﻞ ﺳﯿﻠﮭﻢ ﺑﺸﻜﻞ ﺟﺪﻟﻲ‪ ,‬اﻟﺠﯿﻞ اﻷول ﻟﻌﻠﻤﺎء اﻟﻜﻤﺒﯿﻮﺗﺮ واﻟﺬﯾﻦ دﻣﺠﻮ اﻟﻜﺜﯿﺮ ﻣﻦ اﻓﻜﺎر ﺑﺎﺑﺒﺞ ﻓﻲ آﻻﺗﮭﻢ‪ .‬وﻟﺬﻟﻚ اﻋﺘﺒﺮ ﺑﺎﺑﺒﺞ‬ ‫"ب اﻟﺤﻮﺳﺒﺔ"‪ .‬ﺷﻜﺮاً ﻓﻘﺎﻋﺔ اﻟﻔﻜﺮ‪ .‬إذاً وﺑﻨﮭﺎﯾﺔ اﻟﻘﺮن اﻟﺘﺎﺳﻊ ﻋﺸﺮ‪ ,‬اﺟﮭﺰة اﻟﺤﻮﺳﺒﺔ ﻛﺎﻧﺖ ﺗﺴﺘﺨﺪم ﻷﻏﺮاض ﻣﺨﺼﺼﺔ ﻓﻲ اﻟﻌﻠﻢ واﻟﮭﻨﺪﺳﺔ‪ ,‬ﻟﻜﻦ ﻧﺎدراً‬ ‫أ‬ ‫ﻣﺎ ﺗُﺸﺎھَﺪ ﻓﻲ اﻷﻋﻤﺎل‪ ,‬اﻟﺤﻜﻮﻣﺔ‪ ,‬أو اﻟﺤﯿﺎة اﻟﻤﻨﺰﻟﯿﺔ‪ .‬ﻣﻊ ذﻟﻚ‪ ,‬اﻟﺤﻜﻮﻣﺔ اﻷﻣﺮﯾﻜﯿﺔ واﺟﮭﺖ ﻣﺸﻜﻠﺔ ﻛﺒﯿﺮة ﻋﻤﻠﯿﺔ اﻟﺘﻌﺪاد اﻟﺴﻜﺎﻧﻲ ﻋﺎم ‪ 1890‬واﻟﺘﻲ‬ ‫ﺗﻄﻠﺒﺖ ﻧﻮع ﻣﻦ اﻟﻜﻔﺎءة ﻓﻘﻂ اﻟﻜﻤﺒﯿﻮﺗﺮات ﺗﺴﺘﻄﯿﻊ ﺗﻘﺪﯾﻤﮫ‪ .‬اﻟﺪﺳﺘﻮر اﻷﻣﺮﯾﻜﻲ ﯾﻨﺺ أن اﻟﺘﻌﺪاد اﻟﺴﻜﺎﻧﻲ ﯾﺠﺐ ان ﯾﻨﻔﺬ ﻛﻞ ﻋﺸﺮ ﺳﻨﻮات‪ ,‬ﻷﻏﺮاض‬ ‫ﺗﻮزﯾﻊ اﻟﺮﺻﯿﺪ اﻟﻔﺪراﻟﻲ‪ ,‬اﻟﺘﻤﺜﯿﻞ ﻓﻲ اﻟﻜﻮﻧﻐﺮس‪ ,‬واﺷﯿﺎء اﺧﺮى ﺟﯿﺪة ﻛﮭﺬه‪ .‬وﺑﺤﻠﻮل ‪ ,1880‬اﻟﺘﻌﺪاد اﻟﺴﻜﺎﻧﻲ ﻟﻠﻮﻻﯾﺎت اﻟﻤﺘﺤﺪة ﻛﺎن ﯾﺘﻀﺨﻢ ﺑﺸﻜﻞ‬


‫ھﺎﺋﻞ‪ ,‬ﻣﻌﻈﻤﮫ ﺑﺴﺒﺐ اﻟﮭﺠﺮة‪ .‬ﻋﻤﻠﯿﺔ ﺗﻌﺪاد اﻟﺴﻜﺎن ﺗﻠﻚ اﺧﺬت ﺳﺒﻊ ﺳﻨﻮات ﻟﺘﺠﻤﻊ ﯾﺪوﯾﺎ ً و وﻋﻨﺪﻣﺎ اﻛﺘﻤﻠﺖ ﻛﺎﻧﺖ ﻣﻨﺘﯿﮭﺔ اﻟﺼﻼﺣﯿﺔ ﻣﺴﺒﻘﺎ ً‪ .‬وﻗﺪ ﺗﻮﻗﻊ ان‬ ‫ﻋﻤﻠﯿﺔ ﺗﻌﺪاد اﻟﺴﻜﺎن ل ‪ 1890‬ﺳﺘﺄﺧﺬ ‪ 13‬ﺳﻨﺔ ﻟﯿﺘﻢ ﺣﺴﺎﺑﮭﺎ‪ .‬ھﺬه ﻣﻌﻀﻠﺔ ﻋﻨﺪﻣﺎ ﯾﺘﻄﻠﺐ ﻓﻌﻞ ذﻟﻚ ﻛﻞ ﻋﺸﺮ ﺳﻨﻮات‪ .‬ﻟﺠﺄ ﻣﻜﺘﺐ ﺗﻌﺪاد اﻟﺴﻜﺎن ﻟـ ھﺮﻣﺎن‬ ‫ھﻮﻟﺮﯾﺚ‪ ,‬اﻟﺬي ﻗﺪ ﺑﻨﻰ آﻟﺔ ﺗﺼﻨﯿﻒ آﻟﺘﮫ ﻛﺎﻧﺖ "ﻛﮭﺮوﻣﯿﻜﺎﻧﯿﻜﯿﺔ" اﺳﺘﺨﺪﻣﺖ اﻧﻈﻤﺔ ﻣﻜﺎﻧﯿﻜﯿﺔ ﺗﻘﻠﯿﺪﯾﺔ ﻟﻠﻘﯿﺎم ﺑﺎﻟﻌﺪ ﻛـ ﺣﺎﺳﺐ اﻟﺨﻄﻮة ‪ --‬ﻛﻠﻦ وﺻﻞ ھﺬه‬ ‫اﻷﻧﺌﻤﺔ ﺑﻘﻄﻊ ﻣﻐﺬاة ﻛﮭﺮﺑﺎﺋﯿﺎ ً‪ .‬ﻣﺎﻛﻨﯿﺔ ھﻮﻟﺮﯾﺚ اﺳﺘﺨﺪﻣﺖ ﻣﺠﻤﻮﻋﺔ ﻣﻦ اﻟﻜﺮوت واﻟﺘﻲ ﻛﺎﻧﺖ ﻛﺮوت ورﻗﯿﺔ ﺑﺸﺒﻜﺔ ﻣﻦ اﻟﻤﻮاﻗﻊ اﻟﺘﻲ ﯾﻤﻜﻦ ان ﺗﺜﻘﺐ‬ ‫ﻟﺘﻤﺜﻞ ﺑﯿﺎﻧﺎت‪ .‬ﻣﺜﻼً‪ ,‬ﻛﺎن ھﻨﺎك ﺳﻠﺴﺔ ﻣﻦ اﻟﺜﻘﻮب ﻟﻠﺤﺎﻟﺔ اﻟﺰوﺟﯿﺔ‪ .‬ﻓﺈذا ﻛﻨﺖ ﻣﺘﺰوج‪ ,‬ﺳﺘﺜﻘﺐ ﺑﻘﻌﺔ اﻟﻤﺘﺰوج‪ ,‬وﺑﻌﺪھﺎ ﺗﻮﺿﻊ اﻟﺒﻄﺎﻗﺔ ﻓﻲ ﻣﺎﻛﯿﻨﺔ‬ ‫ھﻮﻟﺮﯾﺚ‪ ,‬وﺳﺘﻤﺮ ﺑﻌﺾ اﻹﺑﺮ اﻟﻤﻌﺪﻧﯿﺔ ﻓﻮق اﻟﺒﻄﺎﻗﺔ إذا ﻛﺎﻧﺖ اﻟﺒﻘﻌﺔ ﻣﺜﻘﻮﺑﺔ‪ ,‬ﺳﺘﻤﺮ اﻹﺑﺮة ﺧﻼل اﻟﺜﻘﺐ إﻟﻰ ﻗﻨﯿﻨﺔ ﺻﻐﯿﺮة ﻣﻦ اﻟﺰﺋﺒﻖ‪ ,‬واﻟﺘﻲ ﺑﺪورھﺎ‬ ‫اﻛﻤﻠﺖ اﻟﺪارة‪ .‬اﻵن ھﺬه اﻟﺪارة اﻟﻜﺎﻣﻠﺔ ﻏﺬت ﻣﻮﺗﻮر ﻛﮭﺮﺑﺎﺋﻲ‪ ,‬واﻟﺬي ﯾﺪﯾﺮ ﻣﺴﻨﻦ ﻟﯿﺰﯾﺪ واﺣﺪ‪ ,‬ﺑﮭﺬه اﻟﺤﺎﻟﺔ‪ ,‬ﯾﺰﯾﺪ واﺣﺪ ﻟﻤﺠﻤﻮع اﻟﻤﺘﺰوﺟﯿﻦ‪ .‬ﻣﺎﻛﯿﻨﺔ‬ ‫ھﻮﻟﺮﯾﺚ ﻛﺎﻧﺖ ﺗﻘﺮﯾﺒﺎ ً اﺳﺮع ﺑﻌﺸﺮ ﻣﺮات ﻣﻦ اﻟﺠﺪوﻟﺔ اﻟﯿﺪوﯾﺔ وﻋﻤﻠﯿﺔ اﻟﺘﻌﺪاد أﻛﻠﻤﺖ ﺑﻐﻀﻮن ﺳﻨﺘﯿﻦ وﻧﺼﻒ‪ ,‬ﻣﻮﻓﺮاً ﻟﻤﻜﺘﺐ اﻟﺘﻌﺪاد اﻟﺴﻜﺎﻧﻲ ﻣﻼﯾﯿﻦ‬ ‫اﻟﺪوﻻرات!‪ .‬ﺑﺪأت اﻷﻋﻤﺎل ﺑﺘﻘﺪﯾﺮ اھﻤﯿﺔ اﻟﺤﻮﺳﺒﺔ‪ ,‬ورأت ﻗﺪرﺗﮭﺎ ﻋﻠﻰ ﺗﻀﺨﯿﻢ اﻷرﺑﺎح ﺑﺘﺤﺴﯿﻦ اﻟﻤﮭﺎم اﻟﻜﺜﯿﻔﺔ اﻟﺒﯿﺎﻧﯿﺔ واﻟﻌﻤﺎﻟﯿﺔ‪ ,‬ﻛـ اﻟﻤﺤﺎﺳﺒﺔ‪ ,‬اﻟﺘﺄﻣﯿﻦ‪,‬‬ ‫اﻟﺘﻘﯿﯿﻢ‪ ,‬وإدارة اﻟﺘﺨﺰﯾﻦ‪ .‬وﻟﺘﻠﺒﯿﺔ ھﺬا اﻟﻄﻠﺐ‪ ,‬أﺳﺲ ھﻮﻟﺮﯾﺚ ﺷﺮﻛﺔ آﻟﺔ اﻟﺠﺪوﻟﺔ‪ ,‬واﻟﺘﻲ ﺑﻌﺪھﺎ اﻧﺪﻣﺠﺖ ﻣﻊ ﺻﺎﻧﻌﻲ ﻣﺎﻛﯿﻨﺎت اﺧﺮﯾﻦ ﻓﻲ ‪ 1924‬ﻟﯿﺼﺒﺤﻮا‬ ‫واﻟﺘﻲ ﺳﻤﻌﺘﮭﻢ ﺑﮭﺎ ﻣﻦ ﻗﺒﻞ ﻋﻠﻰ اﻷﻏﻠﺐ‪ .‬ھﺬه اﻵﻻت اﻻﻟﻜﺘﺮوﻣﯿﻜﺎﻧﯿﻜﯿﺔ ﻛﺎﻧﺖ ﻧﺠﺎح ھﺎﺋﻞ‪ ,‬ﻣﺤﻮﻟﺔ اﻟﺘﺠﺎرة ‪ IBM‬ﺷﺮﻛﺔ ﻣﺎﻛﯿﻨﺎت اﻟﻌﻤﻞ اﻟﺪوﻟﯿﺔ او‬ ‫واﻟﺤﻜﻮﻣﺔ‪ ,‬وﺑﻤﻨﺘﺼﻒ اﻟﻘﺮن اﻟﻌﺸﺮﯾﻦ‪ ,‬اﻻﻧﻔﺠﺎر اﻟﺴﻜﺎﻧﻲ اﻟﻌﺎﻟﻤﻲ وﺻﻌﻮد اﻟﺘﺠﺎرة اﻟﻌﺎﻟﻤﯿﺔ‪ ,‬ﺗﻄﻠﺒﺖ ﺣﺘﻰ أدوات اﺳﺮع واﻛﺜﺮ ﻣﺮوﻧﺔ ﻟﻤﻌﺎﻟﺠﺔ‬ ‫‪. Clarkson University.‬اﻟﺒﯿﺎﻧﺎت‪ ,‬ﻣﺠﮭﺰة اﻟﻤﺴﺮع ﻟﻠﻜﻤﺒﯿﻮﺗﺮات اﻟﺮﻗﻤﯿﺔ‪ ,‬واﻟﺘﻲ ﺳﻨﺘﻜﻠﻢ ﻋﻨﮭﺎ اﻷﺳﺒﻮع اﻟﻤﻘﺒﻞ‬


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