Evaluation of accident prediction and hazard index formulas for railroad highway crossings : final report /

"Final report July 1998 through July 2000"--Technical report documentation page.

Special study of alternative funding formulas for the distribution of community grants-in-aid : report to the General Assembly pursuant to Public act 86-1013.

"May 1, 1990."

Origines du droit français cherchées dans les symboles et formulas du droit universel.

Mode of access: Internet.

Elements of geometry; : containing the first six books of Euclid, with a supplement on the quadrature of the circle and the geometry of solids; to which are added, Elements of plane and spherical trigonometry. /

"Errata"--P. [xvi]

Elements of geometry: containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids: to which are added, elements of plane and spherical trigonometry,

Mode of access: Internet.

Antiquitates biblicae ex Novo Testamento selectae consuetudines, ritus, formulas ueterum examinantes. cCum indicibus /

Title vignette, engraved.

[Sefer humash], sive, [Biblios katallagēs] : in quo secundum veterum theologorum Hebraeorum : formulas allegandi, & modos interpretandi conciliantur ex V. in N.T. allegata /

Title in Hebrew and Greek at head of t.p. romanized.

Mechanics' and engineers' pocket-book of tables, rules, and formulas pertaining to mechanics, mathematics, and physics.

Mode of access: Internet.

A manual of Bible readings : for public and private occasions, with ecclesiastical formulas, etc. /

Cover title: Pastor's manual.

The estimation of total solids in milk by the use of formulas /

"April 24, 1911."

Higher geometry and trigonometry : being the third part of a series on elementary and higher geometry, trigonomentary and mensuration : containing many valuable discoveries and improvements in mathematical science, especially in relation to the quadrature of the circle, and some other curves, as well as the cubature of certain curvilinear solids : designed as a text-book for collegiate and academic instruction, and as a practical compendium of mensuration /

With: Higher geometry and mensuration / by Nathan Scholfield.

Problems in the calculus, with formulas and suggestions,

Mode of access: Internet.

Royalty payments : hearings before the Committee on Patents, House of Representatives, seventy-seventh Congress, first session, on H.J. Res. 32, H.J. Res. 73 and H.J. Res. 123, joint resolutions to define the principle of international reciprocity in the protection of American patents, trade-marks, secret formulas and processes, and copyrights by providing a method for assuring the payments of amounts due to persons in the United States from users thereof in countries restricting international payments from their territories /

"317522."

Gaussian quantum operator representation for bosons

We introduce a Gaussian quantum operator representation, using the most general possible multimode Gaussian operator basis. The representation unifies and substantially extends existing phase-space representations of density matrices for Bose systems and also includes generalized squeezed-state and thermal bases. It enables first-principles dynamical or equilibrium calculations in quantum many-body systems, with quantum uncertainties appearing as dynamical objects. Any quadratic Liouville equation for the density operator results in a purely deterministic time evolution. Any cubic or quartic master equation can be treated using stochastic methods.

Orientation of biological cells using plane-polarized gaussian beam optical tweezers

Optical tweezers are widely used for the manipulation of cells and their internal structures. However, the degree of manipulation possible is limited by poor control over the orientation of the trapped cells. We show that it is possible to controllably align or rotate disc-shaped cells-chloroplasts of Spinacia oleracea-in a plane-polarized Gaussian beam trap, using optical torques resulting predominantly from circular polarization induced in the transmitted beam by the non-spherical shape of the cells.