“数字孪生 Digital Twin”的一些参考文献 (1) 数字孪生_百度百科 https://baike.baidu.com/item/%E6%95%B0%E5%AD%97%E5%AD%AA%E7%94%9F (2) 2019-06-30, Digital Twins: where we are where we go – II – IEEE Future Directions, https://cmte.ieee.org/futuredirections/2019/06/30/digital-twins-where-we-are-where-we-go-ii/ (2-2)2019-06-29, Digital Twins: where we are where we go – I – IEEE Future Directions, https://cmte.ieee.org/futuredirections/2019/06/29/digital-twins-where-we-are-where-we-go/ (3) 能源互联网数字孪生及其应用 ,全球能源互联网,2020,3(1):1-13 http://g.wanfangdata.com.cn/details/detail.do?_type=perioid=qqnyhlw202001001 http://mall.cnki.net/magazine/Article/QNYW202001001.htm (4) 当智能电网遇到数字孪生 ,科技纵览,2019,(11):69-72 http://info.cqvip.com/Qikan/Article/Detail?id=7100847244 http://g.wanfangdata.com.cn/details/detail.do?_type=perioid=kjzl201911023 (5) 数字孪生与平行系统:发展现状、对比及展望 ,自动化学报,2019,45(11):2001-2031 http://www.cnki.com.cn/Article/CJFDTotal-MOTO201911001.htm http://qikan.cqvip.com/Qikan/Article/Detail?id=7100491914 (6) 数字孪生技术综述与展望 ,仪器仪表学报,2018,39(11):1-10 http://www.cqvip.com/qk/94550x/201811/6100113556.html http://www.cnki.com.cn/Article/CJFDTotal-YQXB201811002.htm (7) 数字孪生应用及安全发展综述 ,系统仿真学报,2019,31(3):385-392 http://www.cqvip.com/QK/96569X/20193/88847090504849574851484852.html http://www.cnki.com.cn/Article/CJFDTotal-XTFZ201903004.htm (8) 数字孪生标准体系 ,计算机集成制造系统,2019,25(10):2405-2418 http://www.cqvip.com/qk/97749x/201910/7100324854.html (9) Make more digital twins ,NATURE,2019,573(7775): 490-491 https://www.nature.com/articles/d41586-019-02849-1 (10) Digital Twin in industry: state-of-the-art ,IEEE Transactions on Industrial Informatics,2019,15(4):2405-2415 https://ieeexplore.ieee.org/document/8477101 (11) Architecting smart city digital twins: combined semantic model and machine learning approach ,Journal of Management in Engineering,2020,36(4):04020026 https://ascelibrary.org/doi/10.1061/%28ASCE%29ME.1943-5479.0000774 一点个人猜想(在此存照): “数字孪生 digital twin”概念,对于人工设计的工业生产系统应用前景较为明朗。但是,对于天气预报这样大自然系统,估计一时难以达到实用化的程度。 记忆: 2010-08-27,11年前的记忆:人脑复杂性的估计及其哲学意义 http://blog.sciencenet.cn/blog-107667-356704.html 杨正瓴. 人脑有多复杂?《百科知识》,1997, 7(总第216期): 39 – 40. http://www.cnki.com.cn/Article/CJFDTotal-BKZS199707022.htm 杨正瓴,林孔元. 人类智能模拟的“第2类数学(智能数学)”方法的哲学研究,《哲学研究》,1999, (4): 44 – 50. http://www.cqvip.com/QK/80454X/19994/1002190349.html http://www.cnki.com.cn/Article/CJFDTotal-ZXYJ199904005.htm 感谢您的指教! 感谢您指正以上任何错误! 感谢您提供更多的相关资料!
孪生素数:相关介绍和链接 《中国大百科全书》第二版 中文名称:孪生素数 外文名称:twin primes 正 文: 相差为2的一对素数 。例如{3,5},{5,7},{11,13},及{17,19}等。猜想有无限多对这样的素数,这就是著名的孪生素数猜想,至今未被证明。最好的理论结果属于陈景润(1973),他证明:存在无穷多个素数p,使得p+2是素数或是两个素数的乘积。设不超过正数x的孪生素数个数为π2(x)。G.H.哈代和J.E.李特尔伍德(1923)还进一步猜测渐近公式是, 式中C2为一常数。大量数值计算均支持这一猜测。已经找到的最大孪生素数是有51,780位的100,314,512,544,015·2171,960±1(2006)。人们还知道,所有孪生素数的倒数组成的级数是收敛的。 一般地,设b是任意给定的大于1的正整数,相差为2b的一对素数称为广义孪生素数。例如,当素数p=3,7,13,19,37,43,67,79时,p+4均为素数;当素数p=5,7,11,13,17,23,31,37时,p+6均为素数;当素数p=3,5,11,23,29, 53,59,71时,p+8均为素数;当素数p=3, 7,13,19,31,37,43,61时,p+10均为素数;当素数p=5,7,11,17,19,29,31,41时,p+12均为素数。对给定的b,猜想有无限多对这样的素数,这就是广义孪生素数猜想,至今尚未被证明。同样,若猜想成立,哈代和李特尔伍德 (1922)猜测也将有相应的渐近公式成立。大量的数值计算均支持这一猜测。 http://dbk2.chinabaike.org/indexengine/entry_browse.cbs?valueid=%C2%CF%C9%FA%CB%D8%CA%FDdataname=dbk2%40C%3A%5CProgram+Files%5Cdbk%5Cdbkdms%5Cdata%5Cbook2%5Cdbk2.tbfindexvalue=%B3%C2%BE%B0%C8%F3 Twins - Encyclopedia of Mathematics Two primes the difference between which is 2. http://www.encyclopediaofmath.org/index.php/Twins The twin prime conjecture: There are infinitely many primes p such that p + 2 is also prime. http://www.princeton.edu/~achaney/tmve/wiki100k/docs/Twin_prime_conjecture. html Twin Primes - Wolfram It is conjectured that there are an infinite number of twin primes (this is one form of the twin prime conjecture) http://mathworld.wolfram.com/TwinPrimes.html Twin prime - Wikipedia, the free encyclopedia Are there infinitely many twin primes? http://en.wikipedia.org/wiki/Twin_prime 孪生素数猜想 - 维基百科,自由的百科全书 存在无穷多个素数p,与p + 2都是素数。 http://zh.wikipedia.org/wiki/%E5%AD%AA%E7%94%9F%E7%B4%A0%E6%95%B0%E7%8C%9C%E6%83%B3 请您提供更多链接! 以便大家更准确地理解张益唐老师的成果。
TP英文,推进.doc 1) The paper is published in Journal of XinKeJi, Vol 15, (2012) Journal of XinKeJi translate to Journal of Front Science and Techlogy. 2) The students in senior high school can read and understand the paper. Matrix formula of non prime odd number ----- Distribution of twin prime on number axis Ke-An Feng Institute of Physics, Chinese Academy o f Science , Beijing100080 Abstract: The distribution of the primes and twin primes is an interesting problem on the number axis. In this short paper , the distribution of the primes and twin primes can be obtained. Odd numbers can be separated two parts: whole prime except 2 and non prime odd number. Although there is no distributed regularity of the prime on the number axis, but the distributed regularity of the non prime odd number can be written as a set of matrix: 7 + 12m 1,2 ; 11 + 12m 3 ,4 ; 1+ 12m 5,6 ; 5+12m 7,8 ; 3+12(n+1); 9 + 12n where n= 0,1,2,3,4,5….; m 1,2 indicate the matrix m 1 and m 2。 . The expression of the eight matrix m 1 , m 2 。。。。 m 8 Please You click the flie.doc, then if you click the key of 直接打开, you can read the paper. if you click the key of 下载,you can get(down load)the paper TP英文,推进.doc The Rejected Notice of Scichina (math) is wrong comment. Whymy paper cannot publish in Scichina(math)? Please give an answer to me. (2012/12/24) SCIENCE CHINA Rejected Notice(初筛退稿) 发件人: sender@scichina.org ; 时 间: 2011年07月15日 09:19 (星期五) 收件人: fengkean@126.com ; Dear 姓名 , This message is sent out by the system. No reply is required. If you have any question, please contact the managing editor(email:zhangry@scichina.org). Your manuscript entitled "Distribution of the Twin Primes on the Number Axis" submitted to SCIENCE CHINA Mathematics Register Number:012011-526 Title:Distribution of the Twin Primes on the Number Axis Author(s):作者列表(* for corresponding author) has been received. We have a prescreening process that examines the received manuscripts to determine whether they fit into the scope and meet the standard requirements of the journal. In this process, it has been decided that your manuscript referenced above should be returned to you without being sent for review. This decision has no implication on the scientific quality and merits of your research. The prescreening process is only a measure that is used to reduce the number of manuscripts received and sent for review and to avoid possible delay with the review and publication of certain manuscripts. Nevertheless, I would like to take this opportunity to once again thank you for submitting your work to SCIENCE CHINA Mathematics. Yours sincerely, SCIENCE CHINA Mathematics 2011-07-15 Chinese Version: 冯克安先生/女士: 您好! 谢谢您的来稿。经初步审查,来稿反映了所在研究领域的新成果,有一定的科学意义。遗憾的是,我刊版面有限,我们只能选择刊登一些对本领域和相关领域的研究有较大促进作用的稿件。因此,您的来稿不适合于我刊,建议改投有关专业性期刊。 感谢您对中国科学 数学的支持和信任。欢迎有新的研究成果时再选择中国科学 数学! 中国科学 数学编辑部 2011-07-15 此邮件从系统邮箱送出,请不要直接回复,如有疑问请与张睿燕编辑联系(email:zhangry@scichina.org)。
题材如下,写议论文。 美国老师以为大多会选择继续手术,因为上英语课的多是东亚几个非英语国家的学生。 确实算不错的论题。 你是怎么想的呢? ----------- The Twin Problem... You are a highly skilled surgeon with a flourishing practice. You know you are very good at what you do and have earned the respect of your patients. ne day a Mr. and Mrs. Waterhouse come to see you. They are obviously very upset, and tell you they have a problem of life and death and need your help. The Waterhouses explain that they are the parents of 14-year-old twin girls named Irene and Meg. Some years ago Irene contracted a disease of the kid- neys, and she has been seriously ill ever since. Her kidneys are now so badly damaged that unless she receives a kidney transplant she will surely die within three months. Irene is a charming and open girl, full of vitality and intelligence. She is studying piano, and is so good that her teacher feels sure she will have a most successful professional career—if she lives. The parents tell you—as you already know—that the only kidney transplant which will be successful is one from Irene’s identical twin. All other kidney transplants are universally unsuccessful because of rejection by the recipients of the “foreign” tissue. Only Meg’s kidney can save Irene’s life. You also know that a kidney transplant between twins is a relatively safe operation. There is some risk, of course, as there is with any major surgery, but it is minimal. Both the donor and the recipient can get along on one kidney apiece. The obvious solution is for you to transplant one of Meg’s kidneys to Irene, and that is what Mr. and Mrs. Waterhouse ask you to do. But, they tell you, there is a serious problem. Meg has flatly refused to agree to the operation. Unlike her sister, Meg is depressed, socially backward, and shy. Her parents have focused on Irene’s illness and her musical achievements, and Meg feels profoundly rejected. Meg’s parents have told her about the urgent need for the transplant. They have explained that Irene will die unless she is given one of Meg’s kidneys. But Meg says she has always hated Irene, who has received much more love and attention than she has, and she—Meg—will certainly do nothing whatsoever to prevent Irene from dying. Every possible device has been used to make Meg change her mind, including extensive psychiatric treatment, but without success. In desperation, say the Waterhouses, they have come to you for help. In the state in which you practice you are permitted to operate on a person under the age of 18 if his or her parents consent to the operation. The patient, as a minor, has no legal rights in the matter. Mr. and Mrs. Waterhouse say they have decided to ask you to go ahead and perform the operation over Meg’s objections in order to save Irene’s life. They know you are the best possible surgeon, and say they will do whatever you decide—but they plead with you to decide to operate.