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ﻥﺎﺘﺴﻧﺎﻐﻓﺍ                      ﺕﺎﻳﻻﻭ                ﯽﻓﺮﻌﻣ








                                                                                              .    ﻝﺑﺍﺯ  ﻳ ﺕ    ﻻﻭ
                                                          ډ ﻩ .    ﻧﻭ ﻭﻧﺎﻳﻠﺑﺍﺯ ﻭﺍ ﻝﺑﺍﺯﺩ ﻲﮐ ﺦﻳﺭﺎﺗ ﻲﻧﻭﻏﺭﻟ ﻪﭘ ﻥﺎﺗﺳﻧﺎﻐﻓﺍ  ﺩ
                                                                               ﻱﺭﻭﺎﺑ ﻝﻭﺳﺭ ﻝﺍﻭﻧﻫﻭﭘ     :  ﻝﺍﻭﮑﻳﻟ
                        ﻭﻳﻭﻟ   ﻭﺭﻭﻠ $  ﻭﺍ ﻭﻧﻭﺗﻳﻻﻭ   ﻭﺭﻭﻠ $  ﺭﭘ     ټ ﺳﻧﺑ ﺭﭘ ﻥﻭﻧﺎﻗ ﻲﺳﺎﺳﺍ ﺩ ﻝﺎﮐ  ږ ﺩ    ﻳﺯ   ١٩٢١   ﺩ  ﻥﺎﺗﺳﻧﺎﻐﻓﺍ
                ﻝﺭﻳﻣﺷﻭ   ﺩﻧﻭ ړ ﺍ ﻱﺭﻭﭘ ﺕﻳﻻﻭ ﺭﺎﻫﺩﻧﮐ ﻪﭘ ﻝﺎﻬﻣ ﻪﻐﻫ ﺩ ﺕﻳﻻﻭ  +    ﻧﺳﻭﺍ ﻝﺑﺍﺯ ﺩ ﻲﭼ ، ﻭﺷ ﻝﺷﻳﻭﻭ ﻭﻧﻭﺗﻣﻭﮑﺣ
                ﻝﭘﺧﺩ ﻡﻫ  ﻝﺑﺍﺯ ﻲﭼ،ﻭﺷ ﻝﺷﻳﻭﻭ ﻭﻧﻭﺗﻣﻭﮑﺣ ﻭﻳﻭﻟ ﻭﺍ  ﻭﻧﻭﺗﻳﻻﻭ   ٢٩  ﻪﭘ ﻥﺎﺗﺳﻧﺎﻐﻓﺍ ﻝﺎﮐ  ږ ﺩ    ﻳﺯ   ١٩٦٤  ﻪﭘ  . ﻭﺷ
                  ﻱﻭﻧ ﻱﺭﺩ ﻩﻭﺳ ﻩﻭﺩ ﻩﺭﺯ ﺱﻟﻭﺍ      (  ١٧٢٩٣  )  ﺕﻳﻻﻭ ﻝﺑﺍﺯ ﺩ  . ﻭﺷ  ړ    ﻭﻟ ﻪﺗ ﻡﺎﻘﻣ ﺕﻳﻻﻭ ﺩ ﻲﺧﻣ ﻪﻟ  ﺕ    3 ﺯﺭﺍ
                  ﯥ    ﺩ  ﻳ ﺯﮐﺭﻣ ﺕﻳﻻﻭ ﺩ  ﻭﺍ ،    ﻱ ږ ﻳﺳﺭ ﻪﺗ ﻭﺳﻟ    ﯥ ﻳ ﺭﻳﻣﺷ ﻭﻧﻭﺩﺣﺍﻭ ﻱﺭﺍﺩﺍ ﺩ ، ﻱﺭﻟ ﺎﻳﺗﺧﺍﺭﭘ  ﻊﺑﺭﻣ ﻩﺭﺗﻣﻭﻠﻳﮐ
                >    ﻳﺩﻳﻭﻟ ،  3 ﻪ    ﺭﮐ   ﻱﺩ ﺣ ﺭﺳ ﻪﺗ ﻝﻳﻬﺳ ، ﺕﻳﻻﻭ   ﻥﺎ = ﺯﻭﺭ ﺩ ﻪﺗﺭﻭﻟ ﻝﺎﻣﺷ ﺕﻳﻻﻭ  ې    ﺩ ﺩ  ﺭﺎ   ﺩ ۍ    .  3 ﻭﺗﻣﺎﻧ   ﺕﻼﮐ
                ﺩ  ﻱﺭﻭﻟ  ﻪﻟ  >    ﻳﺗﺧ ﻝﻳﻬﺳ ﺩ ﺕﻳﻻﻭ ﺍﺩ ،  ۍ    ﺩ ﺕﻭﺭﭘ ﺕﻳﻻﻭ ﻲﻧﺯﻏ ﺩ  ﯥ    ﻳ ﻪﺗ  >    ﻳﺗﺧ ﻭﺍ ﺕﻳﻻﻭ ﺭﺎﻫﺩﻧﮐ ﺩ  ﯥ    ﻳ ﻪﺗ
                                                               . .     ﻱﺭﻟ   ﺏﻭﺗﻳ ډ ﻧﻭﺎ  ډ   ﺍﻭ ? ﻥ   =  ﻧﻟ ﻩﻭﻳ ﺩ  ﻡﻫ ﻩﺭﺳ ﺎﮑﻳﺗﮑﭘ
                ﺩ ﻭﺧ ، ﻱﺭﻟ    ﻲﮐﺭﭘ  ﻱ   $  ړB ﻧﺎ A  ﻭﺍ ﻪﻧﻭﮑﻳﻟﺭﺳ  ړ    ﺎﻳﻭ ﺩ ﻭﺍ  ﯥ    ﻧﺎ  >   ﻧ 3  ﻳﺭﺎﺗ ﻲﻧﻭﻏﺭﻟ ﺩ ﻪﻣﻳﺳ ﺭﻫ ﺩﺍﻭﻳﻫ ﺩ  ږ    ﻭﻣﺯ
                  ﻭﻳ    ړ ﻳﭘ  ﻲﺧﻳﺭﺎﺗ ﻭﻳﻧﺳﻭﺍ ﺩ ﻭﺍ    ﻭﻳﻧ A ﻧﻣ ،   ﻭﻧﻭﻏﺭﻟ ﻪﭘ ﺩﺍﻭﻳﻫ ﺩ  ږ    ﻭﻣ ﺯ ﻲﻣﺎﻧﺭﺎﮐ ﻲﺧﻳﺭﺎﺗ ﻭﺍ   ﻲﻧ ړ ﺎﻳﻭ ﻝﺑﺍﺯ
                 ﻲﮐ ﻭﻧﻭﺗﻣ  ﯥ    ﻳﺎﺗ ﺳﻭﺍ ﻭﺍ ﻱﺩﻳﻭ ﻪﭘ   .  ﻱﺩ ﻪﻧﻭﻠﺻﻓ ﻥﻳﺭﺯ  ﺦﻳﺭﺎﺗ ﻲﻠﻣﺩ ﺩﺍﻭﻳﻫ ﻭ  ږ    ﻭﻣﺯﻭﺍ ﻪﻧﻭﮑﻳﻟﺭﺳ ﺭﺗﺳ ﻲﮐ
                  ﻭﺭﺎﺛﺍ ﻪﭘ ﻭﻧﻳﺧﺭﻭﻣ ﻭﺗﺎﻳﺯ ﺩ ﻝﺎﻬﻣﺭﭘ ﻭﻳ ﻧﻣﮐﺍﻭ ﻲﻠﺑﺍﺯ ﻭﺍ ﻲﻧﺎﺷﻭﮐ ﺩ ، ﻭﻧﻻﺍﻭﮑﻳﻟ  ﺭﻳﭘ ﻱﺭﺗﺧﺎﺑ  _  ﻭﻧﺎﻧﻭﻳ ﺩ ،
                ﻭﻐﻫ ﺩ ﻪﺧﻭﻣ ﻲﻧﮑﻳﻟ  ې    ﺩ ﺩ  .  ﻪﺗﺳ ﻲﻣﺎﻧﺭﺎﮐ   ﻭﻧﺩﻧ 3 ﺭﺳ ﻭﺍ ﺕﻣﻭﺎﻘﻣ ﺩ ﺎﻳ ﻭﺍ  ﯥ    ﺑﺩﺑﺩ ﻭﺍ ﻡﺭﺑ ﺩ  ﯥ    ﻳ ﻲﮐ ﻭﻧﻭﮑﻳﻟ ﻭﺍ
                 ، ﻱﺭﻟ ﻲﮐ ﻝﺎﻬﻣ   ږ ﺩ    ﻭﺍ ﻪﭘ ﺦﻳﺭﺎﺗ ﺩ  ﯥ    ﻳ ﻝﺑﺍﺯ ﻲﭼ ﻱﺩ ﻪﻧ  ړ ﻝ    ﭘﺳ ﻭﺍ ﻝﻭﺩﺎﻳ ﺍﺭ  ﻭﻧ    ړ ﺎﻳﻭ ﻭﺍ  3 ﻭ    ﻳﭘ ﻲﺧﻳﺭﺎﺗ   ﻭﻟﻭ ?
                 ﻪﭘ ﻥﺎﺗﺳﻧﺎﻐﻓﺍ ﺩ  ﻲﭼ ﻭﺩﺎﻳ ﺍﺭ  ﻲ    B  ﻱ   ﻠﻳﺑ  ړB ﻧﺎ A  ﻪﻐﻫ ﺦﻳﺭﺎﺗ ﻲﻧﻭﻏ ﺭﻟ ﺩ ﻝﺑﺍﺯ ﺩ ﻲﮐ ﻪﻧﮑﻳﻟ  ې   ﻧﻟ ډ ﻩ    ﺩ ﻪﭘ ﻱﺯﺍﻭﻳ
                                                                . .     ﻱﺩﻳﻭﺷ  ﻝ    E=  ﻪﻧﻭﮑﻳﻟﺭﺳ   ﻲﻟ ړ ﺎﻳﻭ ﻲﮐ ﺦﻳﺭﺎﺗ  ﻲﻠﻣ
                     ې    ﺩﻣﻫ ﺭﭘ ﺩﺍﻭﻳﻫ ﺩ ﻲﺳﻳﻫﺍﺭ ﻭﻧﺎﻣﺯ ﻭﻳﻧﺍﻭﺧﭘ   ﻭﺭﻳ ډ  ﻪﻟ ﻡﻭﻧﺍﺩ ،  ړ ﻭ    ﮐ ﻝﻳﭘ ﺍﺭ   ﻪﺧ $  ﻡﻭﻧ ﺩ ﻝﺑﺍﺯ ﺩ ﻪﺑ   ﻩﺭﺑﺧ
                ﺎﺷﻧﺍ ﻭﺍ ﻼﻣﺍ ﺩ  ﻡﻭﻧ ﺍﺩ،  ۍ    ﺩﻳﻭﺷ ﻝﺩﻧژﻳﭘ ﻭﺍ  ۍ    ﻭﺷ   ﻝﺩﻭ 3 ﻳﺍ ﻭﻧژﻳﭘ ﻡﻭﻧ ﻪﭘ ﺕﻳﻻﻭ ﻝﺑﺍﺯ ﺩ  ﯥ    ﻳ ﺱﻭﺍ ﻲﭼ ﻲﺧﺭﺑ
                    ﻱﺩﻧﻻ  ﯥ    ﮑﻟﻭ   ﺭﺗ  ﯥ    ﻳ ﻲﻣﻳﺳ  ﻲﺗﺎﻳﺯ ﻲﭼ  = ﻪ    ﻭﺗ ﻪﭘ ﺩﺍﻭﻳﻫ کﺍﻭﻠﭘﺧ ﻩﻭﻳ ﺩ ﻪﻠﮐ ﻥﻭﻟﺩﺑ   ﺭﻳ ډ  ﻭﺍ  ږ    ﻟ ﻪﭘ ﻲﺧﻣ ﻪﻟ
                   ﻲﮐ  E ﻭ    ﺎﭘ ﻪﭘ ﺦﻳﺭﺎﺗ ﺩ   ﻝﻭ ډ  ﻪﭘ ﻲﻣﻳﺳ ﻱﺩﻭﺩﺣﻣ  ې    ﻭﻳ ﻭﺍ ﺕﻳﻻﻭ ﻩﻭﻳ ﺩ ﻡﻫ ﻪﻠﮐ ﻭﺍ  ۍ    ﺩﻳﻭﺷ ﻝﻭﺭﺎﮐ ، ﻱﺩﻭﻟﺭﺩ
                    ﻩﻭﺳﻭﺍ ﻭﺍ ﺭﺯ ﻭﻳ   ١٧٠٠  ږ ﻩ    ﻟ ﺭﺗ  ږ    ﻟ  ﻡﻭﻧ ﻝﺑﺍﺯ ﺩ ﻩﺭﻅﻧ ﻪﻟ  B ﻭ    ﻧﻭ  $ ﻳ ړ   ﺭﻳﻣﺷﻭﻳ ﺩ  ۍ    .  ﺩﻳﻭﺷ ﻝﮑﻳﻟ ﻭﺍ ﺕﺑﺛ
                ﻪﺗﺳﺭﻣ ﻪﭘ ﻭﮑﻧﻭﺩﻧژﻳﭘ   ﻭﺭﻭﺗﺳ  ﺩ ﻥﺎﻣﺗﻧﻳﭘﺳ ﺎﻳ ﺕﺷﺩﺯﺭﺩ    + ﭼ  ،  ۍ    ﺩﻳﻭﺷ ﺩﺎﻳ ﺕﺧﻭ ﻪﻐﻫ  ږ ﺩ    ﻳﺯ ﺭﺗ ﺍﻭﺧﻭﭘ ﻪﻟﺎﮐ
                  ﻲﻧﺳﻭﺍ ﺩ     ﻳ ﯥ    ﻝﻭ  ې   ډ  ﺩ ﻪﭘ ﻭﺍ  ،  ړ ﻩ    ﮐﻭ ﻩﺩﺍﺭﺍ   ﻭﻠﮐﺎ ?  ﺩ ﻭﻣﻳﺳ ﺩ ﺕﻳﻧ ﻪﭘ ﻭﻟﺩﻧژﻳﭘ ﻭﺍ   ﻭﻟﻭ 3  ﺩ ﻭﻧﻭﻠﺻﻓ ﺩ ﻝﺎﮐ ﺩ
                  ﻱﻭﺳﺭ   ﻥﺎ A   ﻪﺗ   +   $ ﻧ ډ ﻱ    ﻧﻟﺭﺳﭘ   ﻪﺧ $     $ ﻧ ډ ﻱ    ﻲﻧﻣژ  ﻪﻟ ﺭﻣﻟ ﻝﺎﮐ ﺩ ﻲﭼ  ۍ    ﺩﻭ  +   ﻭ 3  ? ﺎ ? ﺑﻭ   ﻪﻐﻫ ﻪﻣﻳﺳ ﻝﺑﺍﺯ
                                                                               ړ   . .    ﮐﺭﻭ ﻡﻭﻧ ﻝﺑﺍﺯ ﺩ  ﯥ    ﻳ ﻪﺗ ﻪﻐﻫ ،
                ﻭﺭﺎﺛﺍ ﻭﺍ ﻭﻟﺎﺳﺭ ﺭﻳﻣﺷﻭﻳ ﻪﭘ ﻡﻫ  ﯥ    ﻳﺭﻅﻧ ﻭﺍ ﻪﻧﻭﺩﻧﺍ   ﻭﮑﻧﻭ  $ ﻳ ړ   ﻭﺭﻭﻧﺭﻳﻣﺷﻭﻳ ﺩ  ړ ﻩ    ﺍ ﻪﭘ   ﯥ3 ﻳﺭ ﻭﺍ ﻡﻭﻧ ﺩ ﻝﺑﺍﺯ  ﺩ
                      ﻭﺭﻭﻧ ﺩ ﻩﺭﺎﭘﻟ ﻲﺣﺭﻁ  +    ﻧﺗﺭﻭﭘ ﺩ ﻭﺧ ،  ړ ﻭ    ﮐﻭ ﻪﻧﻭﺩﺎﻳ  ﯥ    ﻳ ﻪﺑ ﻪﺗﺳﺭﻭ ﻲﭼ  ﻱﺩﻳﻭﺷ ﻝﻘﻧ ﺍﺭ ﻭﺍ ﻪﺗﺷ ﻲﮐ
                    ﻪﭘ ﻝﺑﺍﺯ  ﺩ     ﻲﭼ ﺍﺩ  ﻪﻐﻫ ﻭﺍ  :  ﻭﺩﺎﻳ ﺍﺭ ﻝﻳﻟﺩ   ﻥﻣﺗ 3 ﺯﺭﺍ    ﻭﻟﻭ ?  ﺭﺗ  = ﻪ    ﻭﺗ ﻪﭘ  ﻲ    B ﻠﻳﺑ ﺩ    K  $ ﻧ   ﺭﺗ ﻭﻧﻭﺩﻧﻭﺳﻻ
                    ﻭﻳﻧﺍﻭﺧﭘ   ﻭﺭﻳ ډ  ﻪﻟ ﺩﺑﻌﻣ ﺭﺗﺳ   ﻭﻟﻭ ?  ﺭﺗ   ﻲﻧ A ﻧﺎﻣﻧ ﺭﻣﻟ ﺩ ﻡﻭﻧ ﻪﭘ    (   ﻥﻭﺯ    ) ﺩ ﻲﮐ ﻭﺧﺭﺑ   ﻭﺩﻧﻭ ړ ﺍ ﻭﺍ ﻪﻣﻳﺳ
                   ﻭﺗﺷﻳﻣ ﺩ ﻲﮐ ﻪﻣﻳﺳ ﻪﭘ  = ﻪ     ﻭﺗ ﻪﭘ    A ﺎ ی    ﺕﺩﺎﺑﻋ ﻩﻭﻳ ﺩ ﻱﺭﻭﭘ  +    ﻧﻣﮐﺍﻭ ﺭﺗ   ﻭﺭﮑ 3 ﻟ ﻲﻣﻼﺳﺍ ﺩ ﺎﻳﺑ   ﻪﺧ $  ﻭﻧﺎﻣﺯ
                    ﺩ ،   ﻩﻭﺎﮐ  ﺕﺩﺎﺑﻋ  ﯥ    ﻳ ﻪﺗ ﻪﻐﻫ ﺩ ﻭﺍ  ۍ    ﺩﻳﮐ ﻝﺗﺎﺳ  ﺕ    3 ﻧﺭﺩ ﻪﭘ ﻱﺭﻭﻟ ﻪﻟ ﻭﻧﺎﻧﻣﮐﺍﻭ ﻲﻠﺑﺍﺯ ﺩ ﻡﻫ ﻭﺍﻭ  ﻭ    ړ= ﻭ
                ﻪﻧﺎﺧ ﺭﻳﺧ ﻪﭘ ﻝﺑﺎﮐ ﺩ ﻭﺍ  ې    .  ﻭ ﻱﺩﻧﻻ  ﯥ    ﮑﻟﻭ ﺭﺗ ﻭﻧﻣﮐﺍﻭ ﻝﺑﺍﺯ ﺩ ﻲﻣﻳﺳ ﺍﻭﺧ ﻭﺍ ﺎﺷ ﺩﺑﻌﻣ ﻪﻐﻫ ﺩ ﻭﺍ ﺩﺑﻌﻣ ﻥﻭﺯ
                                                        ۍ   ﺩ ۍ    .  ﺩﻧﻭﺳﻻ   ﻥﻣ  ډ ﺍ ډ   ﺎﻧﻳﻭ  ې    ﺩ ﺩ ﻡﻫ ﻝﺩﻳﮐ ﺍﺩﻳﭘ ﺩﺑﻌﻣ ﺎﻳﺭﻭﺳ ﺩ ﻲﮐ
                                                                            ﻪﻣﺳﺟﻣ ﺎﻳﺭﻭﺳ ﺩ  ﻝﺗﻭﮐ  +    ﻧﺎﺧ ﺭﻳﺧ ﺩ
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