Analytic continuations are unique in the following sense: if V is the connected domain of two analytic functions F1 and F2 such that U is contained in V and for all z in U
F1(z) = F2(z) = f(z),
then
F1 = F2
on all of V. This is because F1 – F2 is an analytic function which vanishes on the open, connected domain U of f and hence must vanish on its entire domain. This follows directly from the identity theorem for holomorphic functions.
— Wikipedia on Analytic continuation
2010.02.12 Friday ACHK
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An old young man, will be a young old man.
— Benjamin Franklin
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年輕時思考成熟，可保證，年老時心境年輕。
— Me@2010.02.08
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2010.02.09 Tuesday
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胸襟百千丈，眼光萬里長。
— 黃霑
level = 境界
境界高低，視乎思考觀點空間的大小，思考觀點時間的長短。
空間：
Level 0: 以自己為自己
…
Level m: 以天下人為自己（基督）
Level m+1: 以天下蒼生為自己（佛祖）
時間：
Level 0: 關心眼前
…
Level n: 關心一生
Level n+1: 關心超過自己個人生命的時間
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Level 無限: 最極致的是斯賓諾莎(Spinoza)的從永恆的觀點看。
Level 無限 + 1: …
— Me@2010.01.27
2010.01.27 Wednesday (c) All rights reserved by ACHK
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The best way to get approval is not to need it.
Don’t try to stand out from the crowd; avoid crowds altogether.
— Hugh MacLeod
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2009.12.28 Monday
PART ONE: The Adventure of the Hero
Chapter I: Departure
* 1. The Call to Adventure
The adventure begins with the hero receiving a call to action, such as a threat to the peace of the community, or the hero simply falls into or blunders into it. The call is often announced to the hero by another character who acts as a “herald”. The herald, often represented as dark or terrifying and judged evil by the world, may call the character to adventure simply by the crisis of his appearance.
* 2. Refusal of the Call
In some stories, the hero initially refuses the call to adventure. When this happens, the hero may suffer somehow, and may eventually choose to answer, or may continue to decline the call.
* 3. Supernatural Aid
After the hero has accepted the call, he encounters a protective figure (often elderly) who provides special tools and advice for the adventure ahead, such as an amulet or a weapon.
* 4. The Crossing of the First Threshold
The hero must cross the threshold between the world he is familiar with and that which he is not. Often this involves facing a “threshold guardian”, an entity that works to keep all within the protective confines of the world but must be encountered in order to enter the new zone of experience.
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Chapter II: Initiation
* 6. The Ultimate Boon
The hero is now ready to obtain that which he has set out, an item or new awareness that, once he returns, will benefit the society that he has left.
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Chapter III: Return
* 1. Refusal of the Return
Having found bliss and enlightenment in the other world, the hero may not want to return to the ordinary world to bestow the boon onto his fellow man.
* 4. The Crossing of the Return Threshold
The hero returns to the world of common day and must accept it as real.
* 5. Master of the Two Worlds
Because of the boon or due to his experience, the hero may now perceive both the divine and human worlds.
* 6. Freedom to Live
The hero bestows the boon to his fellow man.
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— Wikipedia, on The Hero with a Thousand Faces
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2009.05.11 Monday
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中道，簡單而言是不苦不樂（不追求痛苦、不追求快樂）的修行方法。
中道的最初靈感，是佛陀在長期苦行苦修後卻覺得一無所獲，而在近河的地方打坐時，聽到河船上的人唱?：「琴弦太鬆、太緊都無法彈出悅耳的聲音。」佛陀以此進行推思，凡夫俗子追求慾望、快樂，死後將墜入地獄，而苦行僧的森林苦行雖可在死後生為天人，得到比人世間更好的快樂，但福報用盡也依然要離開天界，再次輪迴，因此認為不該在苦樂中計較，以不追求痛苦、不追求快樂的方式修行，才有可能擺脫生老病死與六道輪迴。
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— 維基百科
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2009.05.06 Wednesday
PART ONE: The Adventure of the Hero
Chapter I: Departure
* 1. The Call to Adventure
The adventure begins with the hero receiving a call to action, such as a threat to the peace of the community, or the hero simply falls into or blunders into it. The call is often announced to the hero by another character who acts as a “herald”. The herald, often represented as dark or terrifying and judged evil by the world, may call the character to adventure simply by the crisis of his appearance.
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Chapter III: Return
* 1. Refusal of the Return
Having found bliss and enlightenment in the other world, the hero may not want to return to the ordinary world to bestow the boon onto his fellow man.
* 2. The Magic Flight
When the boon’s acquisition (or the hero’s return to the world) comes against opposition, a chase or pursuit may ensue before the hero returns.
* 3. Rescue from Without
The hero may need to be rescued by forces from the ordinary world. This may be because the hero has refused to return or because he is successfully blocked from returning with the boon. The hero loses his ego.
* 4. The Crossing of the Return Threshold
The hero returns to the world of common day and must accept it as real.
* 5. Master of the Two Worlds
Because of the boon or due to his experience, the hero may now perceive both the divine and human worlds.
* 6. Freedom to Live
The hero bestows the boon to his fellow man.
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— Wikipedia, on The Hero with a Thousand Faces
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2009.04.08 Wednesday
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Feeling follows action.
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— Me
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2001.05.13
Workaround
A workaround is a bypass of a recognized problem in a system. A workaround is typically a temporary fix that implies that a genuine solution to the problem is needed. Frequently workarounds are as creative as true solutions, involving outside the box thinking in their creation.
— Wikipedia
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2008.11.14 Friday
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早上,
肚痛導致頭痛,
沒有溫書.
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下午,
想起明早考試.
唯有利用超能力
令自己復原.
繼續溫書.
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記住,
Physics 能醫百病!
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2008.11.03 Monday
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The greatest and most important problems of life are all fundamentally insoluble. They can never be solved but only outgrown.
— Carl Jung
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人生中最重要的問題往往也是不能解決的.
那唯有把它們忘記, 好好生活.
當我們成長到某個程度, 讓那些問題即使仍在, 也不能再傷到我們.
— Translation by Me
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不能解決 唯有忘記
不能忘記 唯有置之不理
— Translation by Me
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2008.09.11 Thursday
“The accident left him without hands and mostly deaf and blind when he was 19.”
“Heim had to undergo a series of operations after the explosion which resulted in the loss of his arms. He found that intense concentration on the study of Einstein’s relativity theory helped him control the pain in his arms mentally and physically.”
– Wikipedia
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Me: Physics 能醫百病
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2008.08.21 Thursday
If you want to build a ship, don’t drum up the men to gather wood, divide the work and give orders. Instead, teach them to yearn for the vast and endless sea.
— Antoine de Saint-Exupéry
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2008.05.22 Thursday
The most effective time we have is the time when we forget the existence of time and we do not care about the speed of time[7].
The most effective time we have is the timeless time.
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[7] Speed of time with respect to an event is the speed of all other events.
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2008.04.27 Sunday
When you are inspired by some great purpose, some extraordinary project, all your thoughts break their bonds: Your mind transcends limitations, your consciousness expands in every direction, and you find yourself in a new, great, and wonderful world. Dormant forces, faculties and talents become alive, and your discover yourself to be a greater person by far than you ever dreamed yourself to be.
— Yoga Sutras of Patanjali
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2007.11.10 Saturday CHK2
If you love someone,
Set her free…
If she comes back, she’s yours,
If she doesn’t, she never was….
–anon
“It’s the same with your dreams and nightmares. You have to feed them to keep them alive.”
Physics Town 