# 間時間表 3

Pure Maths 10

 30 minutes Pure Maths: Assignment 10 30 minutes Pure Maths: Assignment 10 30 minutes Pure Maths: Assignment 10 30 minutes Pure Maths: Assignment 10 __________ _________________________ 30 minutes Pure Maths: Assignment 2 30 minutes Pure Maths: Assignment 2

（LWT：不是呀。有一個問題，就是就算只做最新的一份功課，也沒有足夠的時間。那何來有時間「歸還」以前的功課呢？）

— Me@2010.04.30

2010.04.30 Friday (c) All rights reserved by ACHK

# Fractional calculus

Nature of the fractional derivative

An important point is that the fractional derivative at a point x is a local property only when a is an integer; in non-integer cases we cannot say that the fractional derivative at x of a function f depends only on the graph of f very near x, in the way that integer-power derivatives certainly do. Therefore it is expected that the theory involves some sort of boundary conditions, involving information on the function further out. To use a metaphor, the fractional derivative requires some peripheral vision.

— Wikipedia on Fractional calculus

2010.04.30 Friday ACHK

# PhD

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Do research in order to get a PhD is a waste of time.

[Instead, you should] Go to study a PhD because you want to know real and practical physicists

in order to do real research and real teachings.

— Me@<2008

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2010.04.30 Friday $copyright ACHK$

# 專家博士（製作特輯）

「我不知道接著會寫什麼」有兩個意思。

— Me@2010.04.28

I think it’s far more important to write well than most people realize. Writing doesn’t just communicate ideas; it generates them. If you’re bad at writing and don’t like to do it, you’ll miss out on most of the ideas writing would have generated.

— Paul Graham

2010.04.29 Thursday (c) All rights reserved by ACHK

# 智者傻瓜

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2010.04.29 Thursday $ACHK$

# 專家博士（失落篇）

▼ February (62)

* 專博同一
* 幻想智力
* 提昇軟智力
* 軟硬智力
* Love
* 蜘蛛俠
* 以專攻博 3
* 以專攻博 2
* 以專攻博
* Chapter A: StoryArc
* 專家博士（目錄）

— Me@2010.04.28

2010.04.28 Wednesday (c) All rights reserved by ACHK

# 間時間表 2

Pure Maths 9

Past papers 23

（LWT：是呀。我上課時，不是在留心聽課，而是在追功課。）

 30 minutes Pure Maths: Assignment 10 30 minutes Pure Maths: Assignment 10 30 minutes Pure Maths: Assignment 10 30 minutes Pure Maths: Assignment 10 __________ _________________________ 30 minutes Pure Maths: Assignment 2 30 minutes Pure Maths: Assignment 2

— Me@2010.04.28

2010.04.28 Wednesday (c) All rights reserved by ACHK

# Second superstring revolution

The second superstring revolution was the intense wave of breakthroughs in string theory that took place approximately between 1994 and 1997.

The different versions of superstring theory were unified, as long hoped, by new equivalences. These are known as S-duality, T-duality, U-duality, mirror symmetry, and conifold transitions. The different theories of strings were also connected to a new 11-dimensional theory called M-theory.

New objects called branes were discovered as inevitable ingredients of string theory. Their analysis – especially the analysis of a special type of branes called D-branes – led to the AdS/CFT correspondence, the microscopic understanding of the thermodynamic properties of black holes, and many other developments.

— Wikipedia on Second superstring revolution

2010.04.28 Wednesday ACHK

# 小國大業：荷蘭

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17世紀，只有150萬人口的荷蘭，成為世界經濟中心和海上第一強國。

— 大國崛起, 維基百科

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2010.04.28 Wednesday $ACHK$

# 水平 4

（安：我曾經將以上「平行宇宙」的講法解釋給另外一個朋友（甲）聽，但是講來講去，他也不明白。）

（安：你這個都是一個很有趣的話題。有機會的話，可以再討論「如何得到這個 level？」）

— Me@2010.04.27

2010.04.27 Tuesday (c) All rights reserved by ACHK

# 間時間表

Pure Maths 8

Past papers 22

Timetable for high school study 4

… 如果你有十份功課習作，九份也未交的話，你應該先做哪一份呢？

（LWT：即是先做最新的一份？）

（LWT：有少少印象。）

 3 hours Pure Maths

 30 minutes Pure Maths 30 minutes Pure Maths 30 minutes Pure Maths 30 minutes Pure Maths __________ _________________________ 30 minutes Pure Maths 30 minutes Pure Maths

 30 minutes Pure Maths: Assignment 10 30 minutes Pure Maths: Assignment 10 30 minutes Pure Maths: Assignment 10 30 minutes Pure Maths: Assignment 10 __________ _________________________ 30 minutes Pure Maths: Assignment 2 30 minutes Pure Maths: Assignment 2

— Me@2010.04.26

2010.04.27 Tuesday (c) All rights reserved by ACHK

# Category theory

Categorical logic is now a well-defined field based on type theory for intuitionistic logics, with applications in functional programming and domain theory, where a cartesian closed category is taken as a non-syntactic description of a lambda calculus. At the very least, category theoretic language clarifies what exactly these related areas have in common (in some abstract sense).

— Wikipedia on Category theory

2010.04.27 Tuesday ACHK

# English language

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In this opposition between falling and rising pitch, which plays a larger role in English than in most other languages, falling pitch conveys certainty and rising pitch uncertainty.

— Wikipedia on English language

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2010.04.27 Tuesday $ACHK$

# 多次元宇宙 17

（廣義）原因 = one of the necessary conditions（先決條件之一）= 因素 = 原因元素

（中義）原因 = sufficient condition（充份條件）= all the necessary conditions（所有先決條件）= 過去

（狹義）原因 = 主要原因 = 主要先決條件

— Me@2010.02.10, 2010.04.20

2010.04.26 Monday (c) All rights reserved by ACHK

# Tomorrow | Today

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Tomorrow will be like today. Life wastes itself whilst we are preparing to live.

— Ralph Waldo Emerson

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2010.04.26 Monday $ACHK$

# 時光機 2

It is possible to affect the past, but not to change it.

The Novikov Principle does not allow a time traveller to change the past in any way, but it does allow them to affect past events in a way that produces no inconsistencies — for example, a time traveller could rescue people from a disaster, and replace them with realistic corpses seconds before it occurs.

— Wikipedia on Novikov self-consistency principle

2010.04.25 Sunday (c) All rights reserved by ACHK

# 背誦製成品 2

Pure Maths 7

Past papers 21

（LWT: 那樣說的話，即是那些 proof（證明）都要自己懂如何做出來？）

（LWT: 即是出得多的，就為之重要？）

— Me@2010.04.25

— Me@2010.05.24

2010.05.24 Monday (c) All rights reserved by ACHK

# 化妝品

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— Me@2010.04.24

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2010.04.25 Sunday $copyright ACHK$

# 時光機

「你乘時光機回去『過去』，改變『過去』」會導致「你就不會乘時光機回去『過去』，改變『過去』」。那就構成邏輯矛盾。「改變過去」不單只是違反科學，更重要的是，它違反邏輯。

— Me@2010.04.23

2010.04.24 Saturday (c) All rights reserved by ACHK