2022.03.02 日拱一卒（Maki's Lab学习计划（正式练习生

Least-upper-bound property tells us that the existence is more important than what it is. --Ayumu

• 本日Maki's Lab 学习完成情况 

1. 完成Ayumu 微积分004，对应笔记

2. 完成Ayumu 微积分005，对应笔记

3. 完成Ayumu 微积分006，对应笔记

4. 完成Ayumu 微积分007，对应笔记

1. inverse function

2. mapping, space, operator, functional, function, set, number ring, number field, linear space, linear transformation

3. symmetry (odd, even)

4. periodic

5. monotonic

6. bounded and least-upper-bound property

• 本日非Maki's Lab 学习完成情况

1. discussing the use of the definite and indefinite articles in a sentence of our working paper with co-author A

2. prepare for the proposal (1 page, presicsely speaking, a half page)

3. practicing this 3 times, at the same time, watching Building your English brain by writing, watching movies, using Internet

1. writing means building a precisely English brain

1. you can practice every aspects of English, lisk punctuation, grammer, syntax, specific, explore vocabulary.    

2. there are two ways to watch movies.

1. The passive way is to watch movies with subtitle (even in your language). It just provides an English environment. 

2. The active way is to watch movies without subtitle. You can learn almost every aspect of English, including listening, pronunciation, vocabulary, etc.

3. Internet provides millions materials for English learner. (e.g., Ted, wiki)