Part 1, below describes this abstract model by spelling out its assumptions.

The Mathematical Appendix presents the rigorous argument, but is best read after Part 1, in order that the assumptions underlying the equations may be explicit.

Part 1 in both volumes is labeled `` Introduction And Tables ''.

Part 2 of Volume 1, and Parts 2 and 3 of Volume 2, contain the crystal descriptions.

The present edition of crystal data was written by J.D.H. Donnay, the Johns Hopkins University, Baltimore, Md. ( Part 2 ) ) and Werner Nowacki, University of Berne, Switzerland ( Part 1 ) ) with the collaboration of Gabrielle Donnay, U. S. Geological Survey, Washington, D. C..

Part 1, of the present edition covers the literature to mid-1948 ; ;

Part 1, deals with the classification of crystalline substances by space groups and is not a numerical data compilation.

References for Part 1, are given at the end and for Part 2, in the tables.

He gave a more complete description in his 1964 publications, " A Formal Theory of Inductive Inference ," Part 1 and Part 2 in Information and Control.

* ( Part 1 ) NASA film on the Apollo 16 mission from the Internet Archive

" The Polls: The Public's Response to the Clinton Scandals, Part 1: Inconsistent Theories, Contradictory Evidence " Presidential Studies Quarterly, Vol.

; ISO 12757-1: 1998: Ball point pens and refills – Part 1: General use

; ISO 14145-1: 1998: Roller ball pens and refills – Part 1: General use

Part 1 The Orkney and Shetland Isles.

If debts are greater than $ 250, 000, the proposal must be filed under Division 1 of Part III of the Bankruptcy and Insolvency Act.

* " Chairman Ben Bernanke Lecture Series Part 1 " Recorded live on March 20, 2012 10: 35am MST at a class at George Washington University

* Recommendation for Key Management — Part 1: general, NIST Special Publication 800-57.

7: The Ming Dynasty, 1368 – 1644, Part 1.

8: The Ming Dynasty, 1368 – 1644, Part 1.

9, Part 1: The Ch ' ing Dynasty to 1800.

Part 1.

III, Part 1 ( 1884 )

And if the foreigners fighting in the Katanga Army are mercenaries then Lafayette and Von Steuben were mercenaries too, as were also the members of the Lafayette Escadrille in the early part of World War 1, and of Chennault's Flying Tigers in the early days of World War 2.

The reasons are obvious: ( 1 ) the state is buying in quantity, and ( 2 ) it has no federal excise or state sales tax to pay.

Taxation of tangible movable property in Rhode Island has been generally of a `` hands off '' nature due possibly to several reasons: ( 1 ) local assessors, in the main, are not well paid and have inadequate office staffs, ( 2 ) the numerous categories of this component of personal property make locating extremely difficult, and ( 3 ) the inexperience of the majority of assessors in evaluating this type of property.

Among the many problems in the taxing of personal property, and of movable tangible property in particular, two are significant: ( 1 ) situs, ( 2 ) fair and equitable assessment of value.

In order to assist the States in maintaining basic vocational rehabilitation services, Section 2 of the amended Act provides that allotments to States for support of such services be based on ( 1 ) need, as measured by a State's population, and ( 2 ) fiscal capacity, as measured by its per capita income.

This claim, as submitted to the District Court and dismissed by it, 126 F.Supp.235, alleged violation not only of 7 of the Clayton Act, but also of 1 and 2 of the Sherman Act.

He claims that he was denied due process of law in violation of the Fifth Amendment, because ( 1 ) at a hearing before a hearing officer of the Department of Justice, he was not permitted to rebut statements attributed to him by the local board, and ( 2 ) at the trial, he was denied the right to have the hearing officer's report and the original report of the Federal Bureau of Investigation as to his claim.

In the event the total of rupees accruing to the Government of the United States of America as a consequence of sales made pursuant to this Agreement is different from the rupee equivalent of $1,276 million, the amounts available for the purposes specified in paragraph 1, Article 2, will be adjusted proportionately.

I have the honor to refer to the Agricultural Commodities Agreement signed today between the Government of the United States of America and the Government of India ( hereinafter referred to as the Agreement ) and, with regard to the rupees accruing to uses indicated under Article 2, of the Agreement, to state that the understanding of the Government of the United States of America is as follows: 1.

With respect to Article 2,, Paragraph 1 ( A ) of the Agreement: ( 1 )

With respect to Article 2,, paragraphs 1 ( B ) and 1 ( C ): Uses of Section 104 ( E ) and Section 104 ( G ) rupees: The Government of India will use the amount of rupees granted or loaned to it by the United States pursuant to paragraphs 1 ( B ) and 1 ( C ) for projects to promote economic development with emphasis upon the agricultural sector including food reserve storage structures and facilities as may from time to time be agreed upon by the authorized representatives of the United States and the authorized representatives of the Government of India, in the following sectors: A.

The Government of India further agrees in cooperation with the Government of the United States, to coordinate the use of grant and loan funds provided for in paragraphs 1 ( B ) and 1 ( C ) of Article 2, with such direct dollar assistance as may be made available by the Government of the United States of America, so that both sources of financing may be channeled to specific and clearly identifiable economic development programs and projects.

With regard to the rupees accruing to uses indicated under Article 2, of the Agreement, the understanding of the Government of the United States of America, with respect to both paragraphs 1 ( B ) and 1 ( C ) of Article 2, is as follows: ( 1 )

Local currency will be advanced or reimbursed to the Government of India for financing agreed projects under paragraphs 1 ( B ) and 1 ( C ) of Article 2, of the Agreement upon the presentation of such documentation as the United States may specify.

Prime numbers of the form 2 < sup > p </ sup >− 1 are known as Mersenne primes, after the seventeenth-century monk Marin Mersenne, who studied number theory and perfect numbers.

In 1644, Marin Mersenne calculated that a pendulum with a length of 39. 1 inches ( 0. 994 m ) would have a period at one standard gravity of precisely two seconds, one second for a swing forward and one second for the return swing, enabling such a pendulum to tick in precise seconds.

* September 1 – Marin Mersenne, French mathematician ( b. 1588 )

Marin Mersenne, Marin Mersennus or le Père Mersenne ( 8 September 1588 – 1 September 1648 ) was a French theologian, philosopher, mathematician and music theorist, often referred to as the " father of acoustics ".

California State Route 1 ( also known as Shoreline Highway and the Pacific Coast Highway ) runs through the Valley and is the road most often used to access western Marin County.

Tomales ( formerly, Tomalles ) is a census-designated place ( CDP ) on State Route 1 in Marin County, California, United States.

In the 1920s there was no bridge spanning the watery expanse between San Francisco and Marin in California, so when the U. S. Post Office issued a postage stamp on May 1, 1923, celebrating The Golden Gate, the issue naturally portrayed the scene without a structure bridging the great span.

As part of both US Highway 101 and California Route 1, it connects the city of San Francisco on the northern tip of the San Francisco Peninsula to Marin County.

KCSM ’ s 1. 5 million watt broadcast signal has a coverage area that includes San Mateo, San Francisco, Santa Clara, Santa Cruz, Alameda, Contra Costa, Marin, Solano, Sonoma and Napa counties.

Marin Academy is an academically focused school, with a student-to-teacher ratio of 9: 1 and an average class size of 15.

In the 2012 spring season, the Girl's Varsity Swim Team set a North Coast Section record in the 200 yard freestyle relay, a first in Marin Academy history with a time of 1: 34. 82.

It is approximately 15 miles ( 25 km ) long and averages nearly 1. 0 miles ( 1. 6 km ) wide, effectively separating the Point Reyes Peninsula from the mainland of Marin County.

He made his return in the 2010 Legg Mason Tennis Classic, where he won the title, his first since 2009 Medibank International Sydney after wins over Rajeev Ram, 6 – 4, 6 – 0, Stanislas Wawrinka, 6 – 3, 6 – 1, Marco Chiudinelli, 6 – 1, 6 – 0, Gilles Simon, 3 – 6, 6 – 2, 6 – 3, and Marin Čilić, 6 – 2, 6 – 2.

* 1 Marin Šego

* Marin Marais Unedited Music from Scottish Manuscripts Volume 1

* Cheech Marin – a convenience store owner ( 1 episode, 1987 )

The Youth National Championship features more than 1, 250 high school athletes competing for titles in the men ’ s and women ’ s eight ( Newport Aquatic Center has won the men's eight back to back in 2008 and 2009, while Marin has won the women's eight in 2008 and 2009 as well ), lightweight eight, quadruple sculls, four with coxswain, lightweight four with coxswain, double sculls, lightweight double sculls and single sculls.

The racial makeup of Marin City was 1, 037 ( 38. 9 %) White, 1, 017 ( 38. 1 %) African American, 15 ( 0. 6 %) Native American, 287 ( 10. 8 %) Asian, 21 ( 0. 8 %) Pacific Islander, 120 ( 4. 5 %) from other races, and 169 ( 6. 3 %) from two or more races.

* Marin ( 4 Directors )-two Directors are elected members of the Board of Supervisors, 1 Director is an elected member of the Council of Mayors and Councilmembers and is appointed by the Board of Supervisors, and 1 Director is a non-elected public member appointed by the Board of Supervisors.