A treatment of atomic mean square displacement in higher order perturbation theory

A general derivation of the anharmonic coefficients for a periodic lattice invoking the special case of the central force interaction is presented. All of the contributions to mean square displacement (MSD) to order 14 perturbation theory are enumerated. A direct correspondance is found between the high temperature limit MSD and high temperature limit free energy contributions up to and including 0(14). This correspondance follows from the detailed derivation of some of the contributions to MSD. Numerical results are obtained for all the MSD contributions to 0(14) using the Lennard-Jones potential for the lattice constants and temperatures for which the Monte Carlo results were calculated by Heiser, Shukla and Cowley. The Peierls approximation is also employed in order to simplify the numerical evaluation of the MSD contributions. The numerical results indicate the convergence of the perturbation expansion up to 75% of the melting temperature of the solid (TM) for the exact calculation; however, a better agreement with the Monte Carlo results is not obtained when the total of all 14 contributions is added to the 12 perturbation theory results. Using Peierls approximation the expansion converges up to 45% of TM• The MSD contributions arising in the Green's function method of Shukla and Hubschle are derived and enumerated up to and including 0(18). The total MSD from these selected contributions is in excellent agreement with their results at all temperatures. Theoretical values of the recoilless fraction for krypton are calculated from the MSD contributions for both the Lennard-Jones and Aziz potentials. The agreement with experimental values is quite good.

Simultaneous extraction of order parameters and orientational distribution fuctions from 31[superscript]P NMR spectra of magnetically partially oriented phospholipid bilayers

Order parameter profiles extracted from the NMR spectra of model membranes are a valuable source of information about their structure and molecular motions. To al1alyze powder spectra the de-Pake-ing (numerical deconvolution) ~echnique can be used, but it assumes a random (spherical) dist.ribution of orientations in the sample. Multilamellar vesicles are known to deform and orient in the strong magnetic fields of NMR magnets, producing non-spherical orientation distributions. A recently developed technique for simultaneously extracting the anisotropies of the system as well as the orientation distributions is applied to the analysis of partially magnetically oriented 31p NMR spectra of phospholipids. A mixture of synthetic lipids, POPE and POPG, is analyzed to measure distortion of multilamellar vesicles in a magnetic field. In the analysis three models describing the shape of the distorted vesicles are examined. Ellipsoids of rotation with a semiaxis ratio of about 1.14 are found to provide a good approximation of the shape of the distorted vesicles. This is in reasonable agreement with published experimental work. All three models yield clearly non-spherical orientational distributions, as well as a precise measure of the anisotropy of the chemical shift. Noise in the experimental data prevented the analysis from concluding which of the three models is the best approximation. A discretization scheme for finding stability in the algorithm is outlined

The Military Monitor and American Register- 31 August 1812

The Military Monitor was a weekly periodical that was published every Monday. The first issue was printed for August 17, 1812 and is believed to have ceased in 1814, as the last issue located was April 2, 1814. The periodical was suspended with the November 23, 1812 issue and resumed with the December 14, 1812 issue. The quote at the top of the first page is "The public good our end". The periodical's various authors included: Desnoues, Joseph, 1794?-1837. O'Connor, Thomas, 1770-1855. Hardcastle, John, 1778?-1835. Van Pelt, Peter, 1779?-1843. Wall, Stephen. Van Riper, Nicholas. Other authors are believed to be the American Antiquarian Society. Proprietors: T. O'Connor and S. Wall, 1812; T. O'Connor, 1812- . Printers: Hardcastle and Van Pelt, for T. O'Connor and S. Wall, Sept. 14-Oct. 5, 1812; J. Desnoues, Oct. 12, 1812- ; N. Van Riper, Nov. 6, 1813- . This issue was included in a bound volume of the Military Monitor and American Register. Other Dates included are: 1812 October 12 1812 October 19 1812 November 23 1812 December 14 1812 December 21 1813 January 11 1813 February 1 1813 March 29 1813 April 5 1813 April 12 1813 April 26 1813 May 31

The Military Monitor and American Register- 31 May 1813

The Military Monitor was a weekly periodical that was published every Monday. The first issue was printed for August 17, 1812 and is believed to have ceased in 1814, as the last issue located was April 2, 1814. The periodical was suspended with the November 23, 1812 issue and resumed with the December 14, 1812 issue. The quote at the top of the first page is "The public good our end". The periodical's various authors included: Desnoues, Joseph, 1794?-1837. O'Connor, Thomas, 1770-1855. Hardcastle, John, 1778?-1835. Van Pelt, Peter, 1779?-1843. Wall, Stephen. Van Riper, Nicholas. Other authors are believed to be the American Antiquarian Society. Proprietors: T. O'Connor and S. Wall, 1812; T. O'Connor, 1812- . Printers: Hardcastle and Van Pelt, for T. O'Connor and S. Wall, Sept. 14-Oct. 5, 1812; J. Desnoues, Oct. 12, 1812- ; N. Van Riper, Nov. 6, 1813- . This issue was included in a bound volume of the Military Monitor and American Register. Other Dates included are: 1812 August 31 1812 October 12 1812 October 19 1812 November 23 1812 December 14 1812 December 21 1813 January 11 1813 February 1 1813 March 29 1813 April 5 1813 April 12 1813 April 26

The New York Weekly Museum Newspaper, Vol. I, No.26- October 31, 1812

A weekly paper that was published from 1805 to 1814. War related news includes: Page 103 - Weekly Retrospect: Troop movements of Captain Morgan and a company of light dragoons from Niagara to Greenbush; report on the Battle of Queenston Heights including a casualty listing and a mention of the death of Major General Isaac Brock and Colonel McDonald and the American's respect for Brock; British attach of Fort Erie and the Village of Black Rock; the privateer Globe under Captain Murphy returning to Baltimore after capturing a British letter of marque; First Nation / Indian attacks near St. Louis; movements of General W. Harrison and army from Fort Defiance to the rapids of Miama (Miami). The rest of the newspaper contains literary works (poems and translations), essays (including on celibacy), marriages, deaths and other anecdotes. The motto on the front page states: "Visiting Every Flower with Labour Meet, and Gathering all its Treasures, Sweet by Sweet."

Letter - Colonel Albert D. Shaw to Francis Lynde Stetson, 31 March 1892

A letter from Colonel Albert D. Shaw to Francis Lynde Stetson dated March 31, 1892. The letter is in regards to correspondence with the Attorney General in efforts to expedite the passing of an Act through Ontario Parliament. The act was introduced a week later (April 6, 1892) confirming the agreement between the Queen Vctoria Niagara Falls Park and the Canadian Niagara Power Company.

Portsmouth Oracle, 23 April 1814 (vol. 25, no. 31) - Newspaper

Volumes of interest were published between 1812 and 1815 with articles about the War of 1812.

Portsmouth Oracle, 31 December 1814 (vol. 25, no. 67) - Newspaper

Volumes of interest were published between 1812 and 1815 with articles about the War of 1812.

American Mercury, 16 August 1814 (vol. 31, 1572) - Newspaper

Volumes of interest were published between 1812 and 1815 with articles about the War of 1812. The 1814 Aug. issues report events of the Battle of Chippewa.

The News, 31 October 1813 (no. 434) - Newspaper

Volumes of interest were published between 1812 and 1815 with articles about the War of 1812.

The War, 31 October 1812 (vol. 1, no. 19) - Newspaper

Volumes of interest were published between 1812 and 1815 with articles about the War of 1812.

The War, 31 May 1814 (vol. 2, no. 50, whole no. 102) - Newspaper

Volumes of interest were published between 1812 and 1815 with articles about the War of 1812.

Real-Time Automatic Object Classification and Tracking using Genetic Programming and NVIDIA R CUDA TM

Genetic Programming (GP) is a widely used methodology for solving various computational problems. GP's problem solving ability is usually hindered by its long execution times. In this thesis, GP is applied toward real-time computer vision. In particular, object classification and tracking using a parallel GP system is discussed. First, a study of suitable GP languages for object classification is presented. Two main GP approaches for visual pattern classification, namely the block-classifiers and the pixel-classifiers, were studied. Results showed that the pixel-classifiers generally performed better. Using these results, a suitable language was selected for the real-time implementation. Synthetic video data was used in the experiments. The goal of the experiments was to evolve a unique classifier for each texture pattern that existed in the video. The experiments revealed that the system was capable of correctly tracking the textures in the video. The performance of the system was on-par with real-time requirements.