무리수와 초월수 - 편집 역사

2021년 2월 17일 (수) 12:43에 Pythagoras0님의 편집

2021-02-17T12:43:28Z

2020-12-28T14:32:30Z

메타데이터: 새 문단

2020-11-13T04:20:13Z

2015-11-02T12:05:59Z

2014-08-30T11:17:06Z

2014-08-04T04:46:29Z

2014-07-11T16:33:05Z

2014-07-11T11:39:32Z

2014-07-11T11:32:51Z

2014-06-16T11:32:49Z

초월수의 예

@@ 140번째 줄: / 140번째 줄: @@
 [[분류:무리수와 초월수]]
-== 메타데이터 ==
+==메타데이터==
 ===위키데이터===
 * ID :  [https://www.wikidata.org/wiki/Q751120 Q751120]

← 이전 판		2020년 12월 28일 (월) 14:32 판
139번째 줄:		139번째 줄:
	* [http://modular.math.washington.edu/swc/aws/08/ Arizona Winter School 2008: Special Functions and Transcendence]		* [http://modular.math.washington.edu/swc/aws/08/ Arizona Winter School 2008: Special Functions and Transcendence]
	[[분류:무리수와 초월수]]		[[분류:무리수와 초월수]]
		+
		+	== 메타데이터 ==
		+
		+	===위키데이터===
		+	* ID : [https://www.wikidata.org/wiki/Q751120 Q751120]

@@ 18번째 줄: / 18번째 줄: @@
 * [[ζ(3)는 무리수이다(아페리의 정리)]]
 * 다음은 미해결 문제
-$$
+:<math>
 \frac{\zeta(3)}{\pi^3} \stackrel{?}{\in}\mathbb{Q}
-$$
+</math>
 ==초월수의 예==

@@ 125번째 줄: / 125번째 줄: @@
 ==관련논문==
 * Buium, Alexandru. “Transcendental Numbers as Solutions to Arithmetic Differential Equations.” arXiv:1408.6188 [math], August 26, 2014. http://arxiv.org/abs/1408.6188.
 * Tretkoff, Paula. 2014. “Transcendence and CM on Borcea-Voisin Towers of Calabi-Yau Manifolds.” arXiv:1407.2611 [math], July. http://arxiv.org/abs/1407.2611.

@@ 125번째 줄: / 125번째 줄: @@
 ==관련논문==
 * Tretkoff, Paula. 2014. “Transcendence and CM on Borcea-Voisin Towers of Calabi-Yau Manifolds.” arXiv:1407.2611 [math], July. http://arxiv.org/abs/1407.2611.
 * Tretkoff, Paula, and Marvin D. Tretkoff. 2013. “A Transcendence Criterion for CM on Some Families of Calabi–Yau Manifolds.” In From Fourier Analysis and Number Theory to Radon Transforms and Geometry, edited by Hershel M. Farkas, Robert C. Gunning, Marvin I. Knopp, and B. A. Taylor, 475–90. Developments in Mathematics 28. Springer New York. http://link.springer.com/chapter/10.1007/978-1-4614-4075-8_23.
 ==관련링크 및 웹페이지==

@@ 67번째 줄: / 67번째 줄: @@
 * http://numbers.computation.free.fr/Constants/Miscellaneous/irrationality.html
 * http://mathandmultimedia.com/2012/01/06/proof-that-log-2-is-irrational-number/
+* [[살렘 수]]

@@ 103번째 줄: / 103번째 줄: @@
 ==관련도서==
+* Transcendental Numbers. 2014. http://www.springer.com/mathematics/numbers/book/978-1-4939-0831-8.
 * [http://books.google.com/books?id=Up-XxkiTtdsC&pg=PA148&lpg=PA148&dq=On+the+Algebraic+Independence+of+Numbers+Yu.V.+Nesterenko&source=bl&ots=yOVhiH5ukL&sig=x0GqVIluMqw-_Iaf3tXtKxam50Q&hl=ko&ei=KIwRTPiwB4rcNcSE8ccF&sa=X&oi=book_result&ct=result&resnum=3&ved=0CCQQ6AEwAg#v=onepage&q=On%20the%20Algebraic%20Independence%20of%20Numbers%20Yu.V.%20Nesterenko&f=false On the Algebraic Independence of Numbers]
 **  Yu.V. Nesterenko, in <em style="line-height: 2em;">A panorama in number theory, or, The view from Baker's garden</em> (by Alan Baker,Gisbert Wüstholz), 2002

← 이전 판		2014년 7월 11일 (금) 11:39 판
126번째 줄:		126번째 줄:
	==관련논문==		==관련논문==
	* Tretkoff, Paula. 2014. “Transcendence and CM on Borcea-Voisin Towers of Calabi-Yau Manifolds.” arXiv:1407.2611 [math], July. http://arxiv.org/abs/1407.2611.		* Tretkoff, Paula. 2014. “Transcendence and CM on Borcea-Voisin Towers of Calabi-Yau Manifolds.” arXiv:1407.2611 [math], July. http://arxiv.org/abs/1407.2611.
		+	* Tretkoff, Paula, and Marvin D. Tretkoff. 2013. “A Transcendence Criterion for CM on Some Families of Calabi–Yau Manifolds.” In From Fourier Analysis and Number Theory to Radon Transforms and Geometry, edited by Hershel M. Farkas, Robert C. Gunning, Marvin I. Knopp, and B. A. Taylor, 475–90. Developments in Mathematics 28. Springer New York. http://link.springer.com/chapter/10.1007/978-1-4614-4075-8_23.

@@ 118번째 줄: / 118번째 줄: @@
-==리뷰논문, 에세이, 강의노트==
+==리뷰, 에세이, 강의노트==
 * 정경훈, [http://navercast.naver.com/science/math/561 무리수이야기], 네이버 오늘의 과학, 2009-6-9
@@ 124번째 줄: / 125번째 줄: @@
 ==관련논문==

@@ 30번째 줄: / 30번째 줄: @@
 ** [[겔폰드-슈나이더 정리]] 참조
 * [[감마함수]]의 유리수에서의 값:<math>\Gamma(\frac{1}{3}),\Gamma(\frac{2}{3}),\Gamma(\frac{1}{4}),\Gamma(\frac{3}{4}),\Gamma(\frac{1}{6}),\Gamma(\frac{5}{6})</math>
-* [[오일러 베타적분(베타함수)]] <math>a,b,a+b \in \mathbb{Q-Z}</math> 이면 <math>B(a,b)</math> 는 초월수이다
+* [[오일러 베타적분(베타함수)]] <math>a,b,a+b \in \mathbb{Q}\backslash \mathbb{Z}</math> 이면 <math>B(a,b)</math> 는 초월수이다
 ==일차독립과 대수적독립==