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1. Bianchi Cosmology: homogeneous (but not isotropic)

2. We need the model investigated to be isotropic.

3. Find some special cases for isotropic in Bianchi Cosmology.

4. If we classified the 9 types of Bianchi Cosmology, there are 2 classes:

    Class A: Type I, II, VIII, IX.

    Class B: Type III to VII_{h}

5. Few cases can be isoptropic:

    Bianchi I –> FLRW (k=0)

    Bianchi V(VII_{h}) –> FLRW (k=-1)

    Bianchi IX –> FLRW (k=1)

consumerism curdles(結凍,酸,壞), melancholy days, Groucho Marx, shut-in(關在家裡的人), proportion(程度), won’t go into it(不談), buck(元), rotgut, bender, promptly, grouchy, lactose intolerant, buttermilk, solemn, sardonic, croon, handy(容易), bloodhound(獵犬), write dryly, as president, Ms., …

Name: Nickname/Female

John: Jack/Jackie(Jaqueline(F.))

Richard: Dick

William: Bill/Billie, Willie

Ellizabeth: Liz, Lizzie, Beth, Betty

Charles:  Chuck

Edward:  Ted, Ed, Teddy

Paul/Paula

Randy Newman

American songwriter, arranger, composer, singer and pianist

wiki

RandyNewman Homepage

MacBook Air

MacBook Air 

實在太酷了

有人嘆為觀止,有人指指點點,不論如何,這是一個里程碑。

Idempotents

2008, Jan 3, NCU Relativity and Geometric Physics Group Meeting 討論的主題是由Jim Nester 主講: Spinor’s repesentation: idempotents and projections

Note: I hope I can make a Latex edition for this topic.

The Boston Globe

This article spent 2 times to have the exposotion by Prof. Lee. (2007/12/27 and 2008/01/03 7:00pm) I attended at 1 time(first).

anticipated in(預期), rock history, legendary, tuned, break(/e/) through, barricade, subversive, accused of, adolescence, sonic voyage, once(一旦), traded in(交易), frontman, mine, Arabic ruba’(quarter tone), Persian Koron(neutral third), lay down a tight groove over which the frontmen can let loose, thythm, improviser(即興), soaring minor, embellish(修飾), alluring tracks, lushest, inovative(創新), counterweight(平衡), clashing(衝突), assult(襲擊) .

        2007, Dec 27, NCU Relativity and Geometric Physics Group Meeting 討論的主題是由Teofilo Vargas 主講: P. Davis 的 ”Anthropic Principle”。
        會中提到了:
           Brandon Carter: “Anthropic Principle in Cosmology“ 
           P. Davies: Cosmic Jackpot
           Barrow-Tipler: The Anthropic Cosmological Principle. Oxford Univ. Press. ISBN 0-19-282147-4. 

        這是一個很大的題目,可以用物理學、哲學、形上學各種角度切入,要列舉的參考文獻太多了…

        李淼老師在科學與信仰的博文中評論了P. Davies的文章,從這裡面可以找到很多相關文章。另外,在不只一個世界中也對M. Tegmark的平行宇宙多所著墨。

        這個題目我還沒能有什麼評論,得爬在更多的巨人身上才能看得更遠。

   

   
          

Whose WOOds these ARE i THInk i KNOW.
His HOUse is IN the VILlage THOUGH;
He WIll not SEE me STOpping HERE
To WAtch his WOOds fill UP with SNOW.

My LITtle HORse must THInk it QUEER
To STOp withOUT a FARmhouse NEAR.
BetWEEN the WOOds and FROzen LAKE
The DARkest EVEning OF the YEAR.

He GIves his HARness BElls a SHAKE
To ASk if THERE is SOME misTAKE.
The ONly OTher SOUNd’s the SWEEP
Of EAsy WInd and DOWny FLAKE.

The WOOds are LOVEly, DARK and DEEP.
But I have PROmiSES to KEEP,
And MIles to GO beFORE I SLEEP, 
And MIles to GO beFORE I SLEEP.

Note: Each line has four beats; 1st and 3rd are stronger than 2nd and 4th. 
The rhymes (last word each line) are interesting.
1st line: 1-2-4; then: 3-1-2-4   Last line also 1-2-3-4.

Source:
http://robertfrostoutloud.com/StoppingByWoodsOnASnowyEvening.html
http://www.salon.com/audio/2000/10/05/frost/

aliens(外星人), go off(離去), raspberry Bermuda shorts, pale pink polo shirt, a mane of tawny waves, squint(chin tilted, eyes narrowed), frayed the hems, all of these(這麼多), far-flung, by dusk, wind-up, rake a comb, Del’s, leaning, scratchy(刺人的), thin pale hair, groan, blurt, aloft on, doe-eyed girl, rage, swollen, invade, take up, wire-rimmed glasses, tie-dye, back of my head, buzzed in, yearn, in the middle of nowhere, bewilderment, way up the street, frown, giggle, tinny(不結實的), only then(那時才), by the time(直到), the country mellowed, blissful, wane, for a moment(瞬間).  

This story is about the author who want to find the 13-year-old herself inside, open heart, a belief that something really  wonderful was about to happen at any moment. 

這篇文章的

人:

     aliens around author’s brother, Ann Hood(author), brother, father, one she loved.

物:

      VW Bugs, Del’s, concoction of frozen lemonade, Frisbee, jeans jacket with an American flag sewn on the back.

        2007, Dec 13, NCU Relativity and Geometric Physics Group Meeting 討論的主題是由Teofilo Vargas 主講: M. Tegmark 的 ”On the dimensionality of spacetime”。

        會中提到了3篇文章:

           Barrow-Tipler

           M. Tegmark (C.Q.G. 14 L69, (1997)): ”On the dimensionality of spacetime”

           I. M. Freeman (Am. J. Phys. 37, 1222, (1969)): “Why is space three dimensional? Based on B¨uchel …”

        這是一個有趣的題目…。 

        後來研究了一下 M. Tegmark,他寫了幾篇有趣的文章:”Shut up and calculate“、”Many lives in many worlds“、”The Mathematical Universe “、”On Math, Matter and Mind“。有機會要好好讀讀。

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