An analysis of decoupling procedures in generating thermal Green's functions of O([lambda]â ´) by the Zubarev equation of motion method

The Zubarev equation of motion method has been applied to an anharmonic crystal of O( ,,4). All possible decoupling schemes have been interpreted in order to determine finite temperature expressions for the one phonon Green's function (and self energy) to 0()\4) for a crystal in which every atom is on a site of inversion symmetry. In order to provide a check of these results, the Helmholtz free energy expressions derived from the self energy expressions, have been shown to agree in the high temperature limit with the results obtained from the diagrammatic method. Expressions for the correlation functions that are related to the mean square displacement have been derived to 0(1\4) in the high temperature limit.

Optimization of trial wave functions for use in quantum Monte Carlo with application to LiH

Methods for both partial and full optimization of wavefunction parameters are explored, and these are applied to the LiH molecule. A partial optimization can be easily performed with little difficulty. But to perform a full optimization we must avoid a wrong minimum, and deal with linear-dependency, time step-dependency and ensemble-dependency problems. Five basis sets are examined. The optimized wavefunction with a 3-function set gives a variational energy of -7.998 + 0.005 a.u., which is comparable to that (-7.990 + 0.003) 1 of Reynold's unoptimized \fin ( a double-~ set of eight functions). The optimized wavefunction with a double~ plus 3dz2 set gives ari energy of -8.052 + 0.003 a.u., which is comparable with the fixed-node energy (-8.059 + 0.004)1 of the \fin. The optimized double-~ function itself gives an energy of -8.049 + 0.002 a.u. Each number above was obtained on a Bourrghs 7900 mainframe computer with 14 -15 hrs CPU time.

Individual differences in risk-taking and associated characteristics : a test of specificity in executive functions /

Multiple measures have been devised by clinicians and theorists from many different backgrounds for the purpose of assessing the influence of the frontal lobes on behaviour. Some utilize self-report measures to investigate behavioural characteristics such as risktaking, sensation seeking, impulsivity, and sensitivity to reward and punishment in an attempt to understand complex human decision making. Others rely more on neuroimaging and electrophysiological investigation involving experimental tasks thought to demonstrate executive functions in action, while other researchers prefer to study clinical populations with selective damage. Neuropsychological models of frontal lobe functioning have led to a greater appreciation of the dissociations among various aspects of prefrontal cortex function. This thesis involves (1) an examination of various psychometric and experimental indices of executive functions for coherence as one would predict on the basis of highly developed neurophysiological models of prefrontal function, particularly those aspects of executive function that involve predominantly cognitive abilities versus processes characterized by affect regulation; and (2) investigation of the relations between risk-taking, attentional abilties and their associated characteristics using a neurophysiological model of prefrontal functions addressed in (1). Late adolescence is a stage in which the prefrontal cortices undergo intensive structural and functional maturational changes; this period also involves increases in levels of risky and sensation driven behaviours, as well as a hypersensitivity to reward and a reduction in inhibition. Consequently, late adolescence spears to represent an ideal developmental period in which to examine these decision-making behaviours due to the maximum variability of behavioural characteristics of interest. Participants were 45 male undergraduate 18- to 19-year olds, who completed a battery of measures that included self-report, experimental and behavioural measures designed to assess particular aspects of prefrontal and executive functioning. As predicted, factor analysis supported the grouping of executive process by type (either primarily cognitive or affective), conforming to the orbitofrontal versus dorsolateral typology; risk-taking and associated characteristics were associated more with the orbitofrontal than the dorsolateral factor, whereas attentional and planning abilities tended to correlate more strongly with the dorsolateral factor. Results are discussed in light of future assessment, investigation and understanding of complex human decision-making and executive functions. Implications, applications and suggestions for future research are also proposed.

John Miller letter, December 1, 1812.

John Miller (1774-1862) was a physician and politician who served in the United States Congress as a representative from New York from 1825-1827. He began his medical practice in Washington County, N.Y. in 1798. In 1801 he moved to Fabius, Onondaga County, N.Y. (now Truxton, Cortland County). He served as postmaster at Truxton from 1805-1825, a justice of the peace from 1812-1821 and in the State Assembly in 1817, 1820 and 1845. Archibald McIntire [McIntyre] (1772-1858) was a businessman and politician. He immigrated to the United States with his family and settled in New York City around 1773. He was a member of the New York State Assembly from 1798-1821 (intermittently), in the New York State Senate form 1822-1826 and was New York State Comptroller from 1806-1821.

John Miller Letter - December 1, 1812

Letter transcription: Truxton, Dec. 1, 1812. Sir, Enclosed I transmit the [receipt] of the Collectors at Truxton to David Griswold for the tax on 50 acres of no. 56 Truxton … showing that the tax has been paid on that portion of the Lot; Mr. Griswold wishes you to keep the receipt and he will call this winter sometime and get it… not being a writer he called on me to do it for him. I am Sir yours sincerely John Miller

Prime Rational Functions and Integral Polynomials

Let f(x) be a complex rational function. In this work, we study conditions under which f(x) cannot be written as the composition of two rational functions which are not units under the operation of function composition. In this case, we say that f(x) is prime. We give sufficient conditions for complex rational functions to be prime in terms of their degrees and their critical values, and we derive some conditions for the case of complex polynomials. We consider also the divisibility of integral polynomials, and we present a generalization of a theorem of Nieto. We show that if f(x) and g(x) are integral polynomials such that the content of g divides the content of f and g(n) divides f(n) for an integer n whose absolute value is larger than a certain bound, then g(x) divides f(x) in Z[x]. In addition, given an integral polynomial f(x), we provide a method to determine if f is irreducible over Z, and if not, find one of its divisors in Z[x].

Indenture of Release between Richard Miller and others

Indenture of release by executors between Richard Miller, John L. Ranney and Richard Woodruff, all of St. Catharines and Joseph A. Woodruff of Clifton, all executors of the will of Samuel Zimmerman of the first part and The Great Western Railway Company of the second part. Parties of the second part have exonerated parties of the first part to undertake and complete the Sarnia branch of the railway. Also, parties of the first part believe they are entitled to compensation as the death of Zimmerman was caused while travelling on one of the carriages belonging to said company. A sum of $150,000 was agreed upon to be paid to the executors by the Great Western Railway Company, September 7, 1858.

(A) Photoregulation of DNA Functions by Cyclic Azobenzene-tethered Oligonucleotides (B) Site-specific Fluorescent Labeling of DNA using Inverse Electron Demand Diels-Alder Reaction between trans-Cyclooctene Derivatives and BODIPY-Tetrazine Adducts

(A) Most azobenzene-based photoswitches require UV light for photoisomerization, which limit their applications in biological systems due to possible photodamage. Cyclic azobenzene derivatives, on the other hand, can undergo cis-trans isomerization when exposed to visible light. A shortened synthetic scheme was developed for the preparation of a building block containing cyclic azobenzene and D-threoninol (cAB-Thr). trans-Cyclic azobenzene was found to thermally isomerize back to the cis-form in a temperature-dependent manner. cAB-Thr was transformed into the corresponding phosphoramidite and subsequently incorporated into oligonucleotides by solid phase synthesis. Melting temperature measurement suggested that incorporation of cis-cAB into oligonucleotides destabilizes DNA duplexes, these findings corroborate with circular dichroism measurement. Finally, Fluorescent Energy Resonance Transfer experiments indicated that trans-cAB can be accommodated in DNA duplexes. (B) Inverse Electron Demand Diels-Alder reactions (IEDDA) between trans-olefins and tetrazines provide a powerful alternative to existing ligation chemistries due to its fast reaction rate, bioorthogonality and mutual orthogonality with other click reactions. In this project, an attempt was pursued to synthesize trans-cyclooctene building blocks for oligonucleotide labeling by reacting with BODIPY-tetrazine. Rel-(1R-4E-pR)-cyclooct-4-enol and rel-(1R,8S,9S,4E)-Bicyclo[6.1.0]non-4-ene-9-ylmethanol were synthesized and then transformed into the corresponding propargyl ether. Subsequent Sonogashira reactions between these propargylated compounds with DMT-protected 5-iododeoxyuridine failed to give the desired products. Finally a methodology was pursued for the synthesis of BODIPY-tetrazine conjugates that will be used in future IEDDA reactions with trans-cyclooctene modified oligonucleotides.

Receipt from Miller and Coates of New York

Receipt from Miller and Coates of New York for tiles, Aug. 24, 1876.

Receipt from Miller and Coates for payment on account

Receipt from Miller and Coates for payment on account, Sept. 1, 1876.

Letter to “My Dear Miller” from Joseph Woodruff

Letter to “My Dear Miller” from Joseph Woodruff stating that he is sending the mortgage and deed. He also asks when Mr. Miller can go to Chippewa to see about their “little matter” with the doctor, May 5, 1863.

Letter to J. A. Woodruff from Miller, Miller and Cox, Barristers and Attorneys at Law

Letter to J. A. Woodruff from Miller, Miller and Cox, Barristers and Attorneys at Law stating that they have read the will of Harvey W. Price and it is suggested that Mr. Woodruff submit the money to Harvey Hamilton Price, Aug. 19, 1880.

Letter to C. Sauble [?] from Henry Miller [?]

Letter to C. Sauble [?] from Henry Miller [?] regarding mortgages, n.d.

Indenture between Robert Miller of the County of La Porte, Indiana and Asat Carpenter of the Town of Niagara regarding 50 acres in the Township of Southwold, Middlesex

Indenture between Robert Miller of the County of La Porte, Indiana and Asat Carpenter of the Town of Niagara regarding 50 acres in the Township of Southwold, Middlesex. There are 2 copies of this document tin which the wording seems slightly different. The 1st copy is slightly burned on the side and extremely faded, making it completely illegible. The 2nd copy is legible. Feb. 15, 1853

Indenture of bargain and sale between Henry and Mary Miller of the Town of Niagara to Joseph Augustus Woodruff of the Town of Niagara

Indenture of bargain and sale between Henry and Mary Miller of the Town of Niagara to Joseph Augustus Woodruff of the Town of Niagara for 50 acres in the east half of Lot no. 15 in the 1st Concession in the Township of Southwold in Elgin County, April 2, 1853.