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2020年3月2日

[Mathematics][Linear Algebra] The Rotation of the Base Vector in 3 dimensions

摘要： Rotation: Provided a vector →S,considering rotating the orthogonal base vectors {^e1,^e2,^e3} into new orthogonal base ve 阅读全文

posted @ 2020-03-02 11:50 RaymondJiang 阅读(139) 评论(0) 推荐(0)

2020年2月4日

[Machine Learning][BP]The Vectorized Back Propagation Algorithm

摘要： Reference: https://www.cs.swarthmore.edu/~meeden/cs81/s10/BackPropDeriv.pdf I spent nearly one hour to deduce the vector form of the back propagation. 阅读全文

posted @ 2020-02-04 00:03 RaymondJiang 阅读(213) 评论(0) 推荐(0)

2020年1月25日

[Mathematics][Fundamentals of Complex Analysis][Small Trick] The Trick on drawing the picture of sin(z), for z in Complex Plane

摘要： Exercises 3.2 21. (a). For ω=sinz, what is the image of the semi-infinite strip S1={x+iy|−π<x<π,y>0} (b). what is the image of the 阅读全文

posted @ 2020-01-25 20:55 RaymondJiang 阅读(129) 评论(0) 推荐(0)

2019年12月11日

[Coursera][计算导论与C语言基础][Week 10]对于“数组应用练习”课后习题的思考题的一些想法

摘要： （首先，关于Honor Code，我咨询过了Help Center，分享课后练习的思考题的想法是可以的（注意不是代码），但要标明引用，引用格式来源于https://guides.lib.monash.edu/citing-referencing/apa-university-course-mater 阅读全文

posted @ 2019-12-11 23:23 RaymondJiang 阅读(281) 评论(0) 推荐(0)

[Mathematics][BJTU][Calculus]Detailed explanations and proofs of the Dirac-Abel Discriminant Methods which deal with the conditional convergence

摘要： So, today we will talk about the conditional convergence and two discriminant methods, namely Dirac-Abel, which help us to decide whether a infinite i 阅读全文

posted @ 2019-12-11 21:25 RaymondJiang 阅读(260) 评论(0) 推荐(0)

2019年10月21日

[Mathematics][MIT 18.02]Detailed discussions about 2-D and 3-D integrals and their connections

摘要： Since it is just a sort of discussion, I will just give the formula and condition without proving them or leaving examples. General: Line integral(Wor 阅读全文

posted @ 2019-10-21 19:09 RaymondJiang 阅读(219) 评论(0) 推荐(0)

2019年10月5日

[Mathematics][MIT 18.03] Detailed Explanation of the Frequency Problems in Second-Order Differential Equation of Oscillation System

摘要： Well, to begin with, I'd like to say thank you to MIT open courses twice. It's their generosity that gives me the priviledge to enjoy the most outstan 阅读全文

posted @ 2019-10-05 21:34 RaymondJiang 阅读(157) 评论(0) 推荐(0)

2019年10月4日

[Mathematics][MIT 18.03] Proof of a Theory about the Solution to Second-order Linear Homogeneous Differential Equation

摘要： Edit: I suddenly found that this theorem is called Abel Identity. And the proof here is exactly the same as what he did. At first, I'd like to say tha 阅读全文

posted @ 2019-10-04 19:07 RaymondJiang 阅读(178) 评论(0) 推荐(0)

2019年8月25日

[ProblemSolving][Ubuntu][LyX] The selected document class ... requires external files that are not available...

摘要： I installed LyX in my Ubuntu(version LTS 18.04), but I just can't make it work. Every time I open any file, I get a message similar to this one: The s 阅读全文

posted @ 2019-08-25 19:28 RaymondJiang 阅读(243) 评论(0) 推荐(0)

2019年8月8日

[Foundation of Machine Learning][Week 2][Guarantee of PLA] the Correctness Verification of PLA

摘要： Conditions: So, let us set ρ=min AND R^{2}= \max |X_{n}|^{2} As a result, we have some inferences. Inferences: Thus, b 阅读全文

posted @ 2019-08-08 22:01 RaymondJiang 阅读(581) 评论(0) 推荐(0)

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