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310.cdf (26.0K)
DATE : 2017-10-15 09:31:15
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Created by Wolfram Mathematica 11.1 & Optimized Wolfram CDF Player 11.1.
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(17-04-06 08:15)
ÆçÀÇ ¹æÁ¤½ÄÀ̶õ, x©÷-ny©÷=1À» ¸¸Á·ÇÏ´Â ÀÚ¿¬¼ö n, x, y °ªÀ» ã´Â ºÎÁ¤¹æÁ¤½ÄÀ» ÀǹÌÇÕ´Ï´Ù. Mathematica SW ±âº»±³À°¿¡¼ ¹æÁ¤½ÄÀÇ Çظ¦ ±¸ÇÏ´Â Solve¸¦ ¿¬½ÀÇϴµ¥ ÁÁÀº ¿¹Á¦À̱⿡ Á¦ÀÛÇÏ¿© º¸¾Ò½À´Ï´Ù. ¿ÏÀüÁ¦°ö¼ö°¡ ¾Æ´Ñ n °ª¿¡ ´ëÇÏ¿© Pell's Equation ÀÇ ¸ðµç ÇØ (x,y)¸¦ x/y ¿Í °°ÀÌ ºÐ¼ö·Î ³ªÅ¸³»¾î ³ª¿ÇÑ °ÍÀ» Pell ¼ö¿À̶ó Çϴµ¥, ÀÌ ¼ö¿Àº ¹Ù·Î Root[n]À¸·Î ¼ö·ÅÇÕ´Ï´Ù.
ÆçÀÇ ¹æÁ¤½ÄÀ̶õ, x©÷-ny©÷=1À» ¸¸Á·ÇÏ´Â ÀÚ¿¬¼ö n, x, y °ªÀ» ã´Â ºÎÁ¤¹æÁ¤½ÄÀ» ÀǹÌÇÕ´Ï´Ù. Mathematica SW ±âº»±³À°¿¡¼ ¹æÁ¤½ÄÀÇ Çظ¦ ±¸ÇÏ´Â Solve¸¦ ¿¬½ÀÇϴµ¥ ÁÁÀº ¿¹Á¦À̱⿡ Á¦ÀÛÇÏ¿© º¸¾Ò½À´Ï´Ù. ¿ÏÀüÁ¦°ö¼ö°¡ ¾Æ´Ñ n °ª¿¡ ´ëÇÏ¿© Pell's Equation ÀÇ ¸ðµç ÇØ (x,y)¸¦ x/y ¿Í °°ÀÌ ºÐ¼ö·Î ³ªÅ¸³»¾î ³ª¿ÇÑ °ÍÀ» Pell ¼ö¿À̶ó Çϴµ¥, ÀÌ ¼ö¿Àº ¹Ù·Î Root[n]À¸·Î ¼ö·ÅÇÕ´Ï´Ù.
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