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

• 本日Maki's Lab 學習完成情況?

1. 完成Ayumu 微積分004，對應筆記

2. 完成Ayumu 微積分005，對應筆記

3. 完成Ayumu 微積分006，對應筆記

4. 完成Ayumu 微積分007，對應筆記

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 學習完成情況

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)