I do not have you employ him from anywhere without the principle of perfection working against Michael Dawsey of the actor who says to become 40 years old, and going well with the circumference. Because I receive an audition of the soap opera which student Sandy of the drama did on the stage of a hospital on one day when there was not work for four months, I arrive, but Sandy is dropped. Michael disguises himself as a woman the next day and passes the audition as "Dorothy Michael's".
It is temporary work for money and practical Michael, but the part of tough hospital manager whom he played receives it and makes a long-term contract and decorates the cover of the various magazine, and it is a star at a bound first.
※The privilege disk which recorded a (approximately 94 minutes) dubbing version for Fuji TV using a picture for HD broadcast is attached to "dubbing foreign film theater" series sixth "トッツィー" "Deluxe Edition Blu-ray of the Sony Pictures entertainment release of the 90th anniversary of Columbia Pictures" separately from a main volume disk. In addition, there was the scene where Dorothy plays a piano at the parents' house of Julie by the first broadcast of Fuji TV, but is cut in Blu-ray.
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References and the source which I can inspect are not shown at all, or this article is insufficient. You add the source, and please cooperate with the reliability improvement of the article. (February, 2014)
The 15th facilities squadron (だいじゅうごしせつちゅうたい, JGSDF 15th Engineer Company) is a subordinate corps of the 15th brigade stationed in the Naha garrison town of Naha-shi, Okinawa. I assume the facilities support for the 15th brigade and brigade direct control corps the main duty.
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Mineral taxonomy [1] based on the chemical composition that German mineralogist curl フーゴ シュツルンツ (German version) wrote the シュツルンツ classification (シュツルンツ ぶんるい, Germany: Systematik der Minerale nach StrunzBritish: Nickel–Strunz classification) in "Mineralogische Tabellen" (mineralogy list) in 1941. Based on mineral composition particularly an anion, I classify it in 10 class (family).
An example: The sphalerite is classified in 2.CB.05a by the sulfide mineral of the 2 group, ten classifications by the composition.
For example, the composition types of the sphalerite are classified in the sulfide mineral of the 2 group which is ZnS (blende). It is done in B department and subclassification as compounds such as zinc, iron, copper, silver as same number sulfuration metal by ten classifications more more by the C gate, and, as for the classification mark, it is in 2.CB.05a (05 2 group C gate B department a system [2]).
Table of contents
Establishment and version up
シュツルンツ which was a curator of the Friedrich Wilhelm University (current Humboldt University Berlin) mineralogy Museum classified mineralogical holdings based on the chemical property of the crystal [1]. In "Mineralogische Tabellen written in 1941," many revision was increased afterwards, and Teru Chris テニゾン participated in editing in 1966, and, the fourth edition, a correction by A S ポヴァレニアク was added in 1966, and English version was published in 1972, and a Russian version came to finally count the ninth edition in 2001. By responsibility of James A フェライオーロ of Mindat.org (English version) [3], the reserve of フーゴ シュツルンツ and the Nicole シュツルンツ mineralogy list by Ernest Henry Nicole (English version) [4] [5] (the unpublished tenth edition) is provided today in webmineral.com [6]. New mineral naming classification committee (IMA/CNMNC) of the association of international mineralogy supports a database of Nicole シュツルンツ [7].
Classification system
An IMA/CNMNC classification mineral group: IMA/CNMNC proposes a hierarchical classification using a mineral group shown by the Nicole シュツルンツ classification tenth edition [8]; [4].
Mineral classification (other than a silicate mineral)
01 group element minerals
Native element group
02 group sulfide mineral and 硫塩鉱物 (a sulfide mineral, selenium a mineral, a telluride mineral, 砒化鉱物, bismuth mineral, 硫亜砒酸塩鉱物, 硫亜 antimony mineral, 硫亜蒼鉛化鉱物)
02.The A gate - 02.G gate: It is a mineral, a telluride mineral group a sulfide mineral, selenium
02.The H gate - 02.M gate: 硫塩鉱物族
03 group halogenation mineral
Halogenation mineral group
04 group oxide mineral (hydroxylated mineral, arsenite mineral, bismuth mineral, sulfite mineral, selenite mineral, tellurite mineral, iodate mineral)
Oxide mineral group
Hydroxylated mineral group
Arsenite mineral group (sub-antimony a mineral, sub-bismuth containing a mineral, a sulfite mineral, a selenite mineral, the tellurite mineral)
A 05 group carbonate mineral and nitric mineral
Carbonate mineral group
Nitric mineral group
06 group borate mineral
Borate mineral group
ネソ borate mineral subtribe
Solo borate mineral subtribe
Cyclo-borate mineral subtribe
Ino borate mineral subtribe
Phyllo borate mineral subtribe
テクト borate mineral subtribe
07 group sulfate mineral, selenate mineral, tellurate mineral
Sulfate mineral, selenate mineral, tellurate mineral group
Chromate mineral group
Molybdate mineral group
Tungstate mineral group
08 group phosphate mineral, arsenate mineral, salt mineral vanadate
Phosphate mineral group
Arsenate mineral group
Salt mineral group vanadate
10 group organic mineral
Organic mineral group
Mineral classification (silicate mineral)
A 09 group silicate mineral and salt mineral germanate
Silicate mineral group
09.The A gate: ネソ silicate mineral subtribe
09.The B gate: Solo silicate mineral subtribe
09.The C gate: Cyclo-silicate mineral subtribe
09.The D gate: Inosilicate mineral subtribe
09.The E gate: Phyllo silicate mineral subtribe
テクト silicate mineral subtribe
09.The F gate: There is no zeolite-related H2O
09.The G gate: There is zeolite-related H2O (zeolite department)
^ abKnobloch, Eberhard (2003) (German/English). The shoulders on which We stand/Wegbereiter der Wissenschaft. Springer. pp. 170–173. ISBN 3540205578.
I assumed a group, series a system in reference to "Iwanami complete works mineral outline" (the second edition) ISBN 9784000211918, 289 pages of ... in course, group in gate, family in family, division in class in ^ Junpei Harada, 1973.
## x: Nicole シュツルンツ mineral number or mineral group number, x are expansion marks
References
Strunz, Hugo; Nickel, Ernest H. (2001). Strunz Mineralogical Tables (9 ed.). Stuttgart: Schweizerbart. pp. 869. ISBN 978-3,510,651,887.
It is 595, 23-34 pages, http://www.gsj.jp/Pub/News/pdf/2004/03/04_03_03.pdf a Yasushi Sakano line, Michiaki Bunno, Masahiro Aoki, Makoto Haruna, March, 2004 "mineral general classification display (1) in the geological feature specimen building" "geological feature news" (industrial research institute geological survey synthesis center)
It is 596, 50-59 pages, http://www.gsj.jp/Pub/News/pdf/2004/04/04_04_08.pdf a Yasushi Sakano line, Michiaki Bunno, Masahiro Aoki, Makoto Haruna, April, 2004 "mineral general classification display (2) in the geological feature specimen building" "geological feature news" (industrial research institute geological survey synthesis center)
It is 431 20th page, http://www.gsj.jp/Pub/News/pdf/1990/07/90_07_04.pdf Michiaki Bunno, July, 1990 "mineral display "geological feature news" of the museum of variety Europe and America of the mineral display" (National Research Institutes geological survey place)
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The appointed area extends over 8,225ha, Kumamoto-shi (including former Ueki-cho), Tamana-shi (former Tensuimachi), Gyokuto-machi. The altitude of Mount Kinpo becomes the double volcano which there are approximately 665 meters in. The Mt. bear ノ is approximately 685 meters. The Mt. three ノ is approximately 681 meters. The altitude of the Mt. Tateda is approximately 152 meters. Tabaruzaka about the Southwestern Rebellion is one, too.
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As a result of having compared it with the original, it becomes clear for this article that there is mistranslation a lot (more than at least five). Please be careful about the use of the information. I find the one that can change translation in a correct phrase.
In mathematics, the singular theorem (Dirichlet's unit theorem) of ディリクレ is a basic result of the algebraic number theory by Peter Gustav ディリクレ (Peter Gustav Dirichlet) [1]. The singular theorem of ディリクレ decides several singlerank (rank) of ring OK of the algebraic integer of algebra body K. It is an equilateral real number to decide how long regulator (regulator) (or it is said with the singular standard) has "density" of the singular.
Table of contents
Singular theorem of ディリクレ
As for the singular theorem of ディリクレ, single several groups are limited generation; rank (rank) (the maximum number of causes that are independent for multiplication)
r = r1 + r2-1
I say that に is equal. r1 is the number of true implantation of K here, and r2 is the number of conjugate pairs of double bare implantation. As for the characterization of this r1 and r2, degree n = [K is based on Q] and じだけあるという way of thinking implantation of K to a complex number body. Because these implantation is one of the implantation to a real number or the implantation to become the pair of the complex conjugate,
n = r1 + 2r2
となる.
If K is Galois expansion on Q, one of r1 and r2 is not 0, but is careful about having possibilities to be 0 with the both sides.
Other methods to decide r1 and r2,
r1 is a number of the origins of conjugate that is a real number of α when I write it as K = Q(α) using a primitive original theorem, and 2r2 is a number of the origins of conjugate that is an imaginary number.
This is the product of the copy of the r1 unit of R and the copy of C of the r2 unit when I write tensor product K⊗QR of the body as the product of the body.
The rank is 1 with the true second body when I assume K the second body as an example, and the rank is 0 with the empty second body. A theory of the true second body is a theory of the Peru equation essentially.
Except Q where a rank is 0 for all several bodies and the empty second body the rank > It is 0. "The size" of the singular is measured generally by the determinant called the regulator (singular standard). The base of the singular can calculate effectively and is practical, and the calculation is very theoretically complicated at n big time.
Several single distortion (torsion) becomes the limited cyclic group with a set of all 1 冪根 of K. In several bodies with at least one true implantation, the distortion should become {1,-1}. Like the empty second body, there are several single several bodies which do not have the true implantation that distortion is {1,-1}.
The total substance is particularly important from the viewpoint of singular. When single several groups of L and single several groups of K do L/K with the same rank as the limited next expansion bigger than 1 a degree, it is the second expansion that is empty with a fruit all-out all-out in L in K. The reverse is also right. (as an example, in the case of the empty second body, several Yuri, L are rank 0 with the both sides K.)
(by future, Claude Chevalley (Claude Chevalley)), the singular theorem were generalized by Helmut Hasse (Helmut Hasse), and the structure of several single group of S-singular (English version) (S-unit) which decided a rank by the localization of the integer ring was described. In addition, it is Galois module structure But, it was decided. [2]
Regulator (singular standard)
u1, ...I do it with the meeting of several single generator which speaks, ur 1, and comes, and assumed a root modulo. If u is an algebraic figure; u1, ...When assume Nj 1, 2 in response to true implantation double bare implantation as implantation to R and C each in, ur+1; each element As for the line of the である r X (r +1), the friendship of which line has a property to be 0, too (a norm is 1, and all singular is because log of the norm is with the friendship of the element of the line). This means that absolute value R of the determinant of the partial line that is made by deleting the one line does not depend on a line. Numerical value R called regulator (regulator) (or a singular standard) of the algebra body (this value does not depend on the choice of ui). This value measures "density" of the singular, and it means that there is many singular that a regulator is small.
The regulator has the following geometric interpretation. It is the element of the line in singular u The representation to pass, and to copy has an image in r dimension subspace of Rr+1, and, from all vectors where the sum becomes 0 of the element, as for the image, it is a lattice in this space by a singular theorem of ディリクレ. The volume of the basic domain of this lattice is R √ (r+1).
In the case of most, the regulator of the algebra body with degree more than 2 has a package of the calculator algebra now, but it is very difficult to usually calculate it. It is easy to calculate product hR which used a regulator in number of the kinds h using a number of the kinds formula, and the main difficulty of the calculation of the number of the kinds of the algebra body is usually to calculate a regulator.
Example
A basic domain of several single logarithmic space of the third Japanese yen fission to be provided by adding a root of f(x) = x3 + x2-2x-1 in Q. When α expresses a root of f(x), the set of the basic singular is {ε 1, ε 2}. It is ε 2 = 2 - α 2 here in ε 1 = α 2 +α-1. Because the area of the basic domain is approximately 0.910114, the regulator of K is approximately 0.525455.
The regulator of the empty second body or the regulator of the Yuri integer body is 1. (saying that the determinant of 0*0 line is 1)
The regulator of the true second body is log of the basic singular. For example, the regulator of Q (√ 5) is log ((√ 5 +1) /2). I do this as follows and understand it. Because the basic singular is /2 (√ 5 +1), and the image of the implantation of two to R is /2 (- √ 5 +1) (√ 5 +1) with /2; the line of r X r +1,
である.
A patrol third body (English version) suffers from the regulator of Q(α) approximately 0.5255 (cyclic cubic field) when I assume α a root of x3 + x2-2x-1. Several single base that assumed べき root modulo is {ε 1, ε 2}. It is ε 1 = α 2 +α-1 here and is ε 2 = 2 - α 2. [3]
Highly advanced regulator
The highly advanced regulator is n > For 1, it is to constitute the function on the algebraic K-group with the role that a classic singular standard made in single several groups. This is group K1. The theory of such a regulator develops, and Arman Borel (Armand Borel) and other people study it. Such a regulator plays, for example, an active part in the bay phosphorus loss expectation (Beilinson conjectures), and it is expected what the L-function with with an integer evaluates in a discussion. [4]
Stark regulator
By formulation of the Stark expectation, Harold Stark (Harold Stark) proposed a thing called Stark regulator (Stark regulator) now. He proposed Stark regulator as a determinant of log of the singular corresponding to any アルティン expression (English version) (Artin representation) as an analog of the classic regulator. [5][6]
p-進 regulator
I assume K several bodies and do it with raw score (prime) P in each fixed Yuri raw score of K and do it when I express local site singular in P in improving it and do it when I express subgroup of the main singular in improving it in U1,P. Furthermore,
I do it when I express a set of global singular ε to represent in U1 through opposite angle implantation of global singular in E in と holder, E1.
Global single several groups which are a limited index of は 大域的単数 (index) rank it as It is の Abelian group. The p-進 regulator (p-adic regulator) is a determinant of the lines formed of p-進対数 of the generator of this group. In expected (English version) (Leopoldt's conjecture) of Leopold
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1982December 1
1983April 16
![{\displaystyle \left[1\times \log \left|{{\sqrt {5}}+1 \over 2}\right|,\quad 1\times \log \left|{-{\sqrt {5}}+1 \over 2}\right|\ \right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c77edd4fd11cf129d531b51dc03173d318c19104)
