ᠻᠸᠠᠨ᠍ᠲ ᠲᠣᠭᠠᠴᠠᠯᠠᠯ хуудасны эх кодыг харах

ᠻᠸᠠᠨ᠍ᠲ᠋ᠤᠮ ᠲᠣᠭᠠᠴᠠᠭᠠᠯᠠᠯ ᠨᠢ ᠻᠸᠠᠨ᠍ᠲ  ᠤᠨ ᠹᠢᠽᠢᠻ  ᠤᠨ  ᠳᠠᠪᠬᠤᠴᠠᠯ᠂ ᠬᠣᠯᠪᠤᠭ᠎ᠠ ᠭᠡᠬᠦ ᠴᠢᠨᠠᠷ  ᠤᠳ  ᠢ ᠠᠰᠢᠭᠯᠠᠨ ᠲᠣᠭᠠᠴᠠᠯᠠᠯ ᠬᠢᠬᠦ ᠠᠷᠭ᠎ᠠ ᠶᠤᠮ᠃ ᠡᠨᠡᠬᠦ ᠰᠠᠨᠠᠭ᠎ᠠ ᠨᠢ 1980 ᠣᠨ  ᠤ ᠡᠬᠢ ᠪᠡᠷ ᠫᠠᠸᠯ ᠪᠧᠨᠢᠣᠹᠹ  ᠤᠨ ᠲᠠᠯᠪᠢᠭᠰᠠᠨ Turing Machine  ᠤ ᠻᠸᠠᠨ᠍ᠲ᠋ᠤᠮ ᠵᠠᠭᠪᠤᠷᠢ ᠡᠴᠡ ᠡᠭᠦᠳᠡᠯᠲᠡᠢ᠃ ᠻᠸᠠᠨ᠍ᠲ᠋ᠤᠮ ᠲᠣᠭᠠᠴᠠᠯᠠᠯ ᠬᠢᠳᠡᠭ ᠪᠠᠭᠠᠴᠢ  ᠢᠢ ᠻᠸᠠᠨ᠍ᠲ᠋ᠤᠮ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ ᠭᠡᠳᠡᠭ᠃

==ᠻᠶᠦ᠋ᠪᠢᠲ==
ᠪᠢᠳᠡᠨ  ᠤ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ ᠲᠣᠭᠠᠴᠠᠯᠠᠯ ᠬᠢᠬᠦ  ᠳᠡᠭᠡᠨ ᠪᠢᠲ ᠪᠤᠶᠤ ᠴᠡᠨᠡᠭ ᠲᠡᠢ ᠡᠰᠡᠪᠡᠯ ᠴᠡᠨᠡᠭ ᠦᠭᠡᠢ ᠲᠷᠠᠨ᠍ᠽᠢᠰᠲ᠋ᠣᠷ ᠠᠰᠢᠭᠯᠠᠳᠠᠭ ᠪᠣᠯ ᠻᠸᠠᠨ᠍ᠲ᠋ᠤᠮ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ ᠻᠶᠦ᠋ᠪᠢᠲ ᠠᠰᠢᠭᠯᠠᠳᠠᠭ᠃ ᠻᠶᠦ᠋ᠪᠢᠲ ᠭᠡᠳᠡᠭ ᠨᠢ ᠡᠯᠧᠻᠲ᠋ᠷᠣᠨ ᠡᠰᠡᠪᠡᠯ ᠫᠾᠣᠲ᠋ᠣᠨ ᠭᠡᠬᠦ ᠮᠡᠲᠦ ᠵᠦᠢᠯᠡᠰ ᠪᠠᠢᠢᠵᠤ ᠪᠣᠯᠤᠨ᠎ᠠ᠃ ᠵᠢᠱᠢᠢ᠎ᠡ ᠨᠢ ᠡᠯᠧᠻᠲ᠋ᠷᠣᠨ  ᠤ ᠡᠷᠭᠡᠯᠳᠦᠬᠦ ᠬᠥᠳᠡᠯᠭᠡᠭᠡᠨ ᠵᠦᠭ (ᠳᠡᠭᠡᠭᠰᠢ ᠡᠰᠡᠪᠡᠯ ᠳᠣᠭᠤᠭᠰᠢ)  ᠶᠢᠠᠷ ᠻᠶᠦ᠋ᠪᠢᠲ  ᠤᠨ ᠤᠳᠬ᠎ᠠ  ᠢ ᠢᠯᠡᠷᠬᠡᠶᠢᠯᠡᠵᠦ ᠪᠣᠯᠤᠨ᠎ᠠ᠃
ᠻᠶᠦ᠋ᠪᠢᠲ ᠬᠣᠶᠠᠷ ᠲᠦᠯᠦᠪ ᠲᠤᠷ ᠵᠡᠷᠭᠡ ᠪᠠᠢᠢᠬᠤ ᠪᠣᠯᠣᠮᠵᠢᠲᠠᠢ᠃ ᠤᠴᠢᠷ ᠨᠢ ᠻᠸᠠᠨ᠍ᠲ᠋ᠤᠮ ᠳᠠᠪᠬᠤᠴᠠᠯ ᠭᠡᠳᠡᠭ ᠴᠢᠨᠠᠷ ᠲᠤᠷ ᠠᠯᠢᠪᠠ ᠪᠢᠢ᠎ᠡ ᠠᠵᠢᠭᠯᠠᠭ᠎ᠠ ᠦᠭᠡᠢ ᠦᠢ᠎ᠡ ᠳ᠋ᠤᠷ ᠲᠦᠯᠦᠪ ᠨᠢ ᠲᠣᠳᠤᠷᠬᠠᠶ ᠪᠢᠰᠢ ᠪᠠᠢᠢᠳᠠᠭ᠃ ᠦᠭᠡᠷ᠎ᠡ ᠪᠡᠷ ᠪᠣᠯ ᠴᠡᠨᠡᠭᠲᠡᠢ ᠪᠦᠭᠡᠳ ᠴᠡᠨᠡᠭ ᠦᠭᠡᠢ ᠬᠣᠶᠤᠯ᠃  ᠬᠠᠷᠢᠨ ᠬᠡᠷᠡᠭᠯᠡᠭᠴᠢ  ᠶᠢᠨ ᠥᠭᠭᠦᠭᠳᠡᠯ ᠡᠴᠡ ᠬᠠᠮᠢᠶᠠᠷᠠᠨ ᠬᠡᠷᠡᠭᠴᠡᠭᠡᠲᠡ ᠤᠳᠬ᠎ᠠ ᠰᠢᠭᠤᠳ ᠭᠠᠷᠤᠨ᠎ᠠ᠃ ᠻᠸᠠᠨ᠍ᠲ᠋ᠤᠮ ᠬᠣᠯᠪᠤᠭ᠎ᠠ ᠡᠴᠡ ᠡᠭᠦᠳᠡᠨ ᠬᠣᠯᠪᠤᠭ᠎ᠠ ᠲᠠᠢ ᠻᠶᠦ᠋ᠪᠢᠲ  ᠦᠳ  ᠤᠨ ᠤᠳᠬ᠎ᠠ ᠨᠢᠭᠡᠨ  ᠢᠢ ᠪᠠᠨ ᠳᠠᠭᠠᠨ ᠦᠭᠡᠷᠡᠴᠢᠯᠡᠭᠳᠡᠨ᠎ᠡ᠃

==ᠻᠢᠪᠧᠷ ᠠᠶᠤᠯ ᠦᠭᠡᠢ ᠪᠠᠢᠢᠳᠠᠯ ᠪᠠ ᠻᠸᠠᠨ᠍ᠲ᠋ᠤᠮ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ==
ᠻᠸᠠᠨ᠍ᠲ᠋ᠤᠮ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ ᠭᠠᠷᠴᠤ ᠢᠷᠡᠭᠰᠡᠨ  ᠶᠢᠠᠷ ᠪᠢᠳᠡᠨ  ᠤ ᠮᠡᠳᠡᠭᠡᠯᠡᠯ  ᠤᠨ ᠠᠶᠤᠯ ᠦᠭᠡᠢ ᠪᠠᠢᠢᠳᠠᠯ ᠦᠭᠡᠢ ᠪᠣᠯᠤᠨ᠎ᠠ᠃ ᠪᠢᠳᠡᠨ  ᠤ ᠮᠡᠳᠡᠭᠡᠯᠡᠯ  ᠶᠢᠠᠨ ᠨᠢᠭᠤᠴᠠᠯᠠᠬᠤ ᠳᠤᠷ ᠠᠰᠢᠭᠯᠠᠳᠠᠭ ᠲᠦᠯᠬᠢᠭᠦᠷ ᠨᠢ ᠬᠣᠶᠠᠷ ᠠᠩᠬᠠᠨ  ᠤ ᠲᠣᠭ᠎ᠠ  ᠶᠢᠨ ᠦᠷᠡᠵᠢᠪᠦᠷᠢ ᠪᠠᠢᠢᠳᠠᠭ ᠪᠦᠭᠡᠳ ᠲᠣᠭ᠎ᠠ  ᠶᠢ ᠣᠯᠬᠤ  ᠳᠤᠷ ᠣᠳᠤ  ᠶᠢᠨ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ ᠮᠠᠰᠢ ᠶᠡᠬᠡ ᠬᠤᠭᠣᠴᠠᠭ᠎ᠠ  ᠶᠢ ᠵᠠᠷᠤᠴᠠᠭᠤᠯᠬᠤ ᠶᠤᠮ᠃ ᠬᠠᠷᠢᠨ ᠻᠸᠠᠨ᠍ᠲ᠋ᠤᠮ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ  ᠣᠳᠤ  ᠶᠢᠨ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ ᠬᠢᠬᠦ n ᠦᠢᠡᠯᠳᠦᠯ  ᠢ √n ᠦᠢᠯᠡᠳᠤᠯ ᠬᠢᠬᠦ ᠬᠤᠷᠳᠤ ᠪᠠᠷ ᠬᠢᠳᠡᠭ ᠪᠦᠭᠡᠳ ᠪᠢᠳᠡᠨ  ᠤ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ  ᠤᠨ 100 ᠵᠢᠯ ᠲᠠᠢᠢᠯᠠᠬᠤ ᠻᠣᠳ᠋  ᠢ ᠬᠡᠳᠦᠬᠡᠨ ᠡᠳᠦᠷ ᠲᠤᠷ ᠲᠠᠢᠢᠯᠵᠤ ᠴᠢᠳᠠᠨ᠎ᠠ᠃ ᠭᠡᠪᠴᠢ ᠣᠳᠤ ᠪᠠᠷ ᠪᠢᠳᠡ ᠻᠸᠠᠨ᠍ᠲ᠋ᠤᠮ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ  ᠢ ᠬᠡᠷᠡᠭᠯᠡᠭᠡᠨ  ᠳᠤᠷ ᠠᠰᠢᠭᠯᠠᠬᠤ ᠡᠴᠡ ᠬᠣᠯ ᠪᠠᠢᠢᠨ᠎ᠠ᠃

==ᠣᠳᠤ ᠪᠢᠳᠡᠨ  ᠳᠤᠷ ᠪᠤᠢ ᠻᠸᠠᠨ᠍ᠲ᠋ᠤᠮ ᠻᠣᠮᠫᠦᠢ᠋ᠲ᠋ᠧᠷ==
ᠳᠡᠯᠡᠬᠡᠢ   ᠶᠢᠨ ᠬᠠᠮᠤᠭ  ᠤᠨ ᠬᠦᠴᠦᠷᠬᠡᠭ ᠻᠸᠠᠨ᠍ᠲ᠋ᠤᠮ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ ᠪᠣᠯ ᠭᠦ᠋ᠦ᠋ᠭ᠌ᠯ  ᠤᠨ ᠵᠣᠬᠢᠶᠠᠭᠰᠠᠨ ᠰᠢᠻᠠᠮᠣᠷ ᠶᠤᠮ᠃ ᠲᠡᠳᠡ ᠡᠨᠡᠬᠦ 53 ᠻᠶᠦ᠋ᠪᠢᠲ ᠲᠡᠢ ᠻᠸᠠᠨ᠍ᠲ᠋ᠤᠮ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ  ᠶᠢᠠᠷ  ᠶᠢᠠᠨ ᠡᠩ  ᠤᠨ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ 10000 ᠵᠢᠯ ᠬᠢᠬᠦ ᠲᠣᠭᠠᠴᠠᠯᠠᠯ  ᠢ 200 ᠣᠷᠴᠢᠮ ᠰᠧᠻᠦ᠋ᠨ᠍ᠳ᠋ ᠲᠤᠷ ᠬᠢᠭᠰᠡᠨ ᠪᠠᠢᠢᠨ᠎ᠠ᠃ ᠡᠨᠡ ᠨᠢ 1.5 ᠲᠷᠢᠯᠯᠢᠣᠨ ᠳᠠᠬᠢᠨ ᠶᠡᠬᠡ ᠬᠤᠷᠳᠤ ᠶᠤᠮ᠃