A tabular series of decimal quotients for all the proper vulgar fractions [microform], of which, when in their lowest terms, neither the numerator nor the denominator is greater than 1000.

Master microform held by: UnM.

Logarithms of the values of all vulgar fractions, with numerator and denominator not exceeding 100, arranged in order of magnitude.

"Excerpt Minutes of proceedings of the Institution of Civil Engineers, vol. lxv. Session 1880-81. Part iii."

Sur le developpement des fonctions elliptiques en fractions continues.

Thesis (doctoral)--Universite de Zurich.

A Review of surface-water sediment fractions and their interactions with presistent manmade organic compounds /

Mode of access: Internet.

Extended- and point-source radiometric program.

Imprint on cover: [Washington?] Civil Effects Test Operations [Office] U. S. Atomic Energy Commission.

Stratigraphic analysis of the southwestern quadrant of the Cedar Hills Regional Landfill: Incorporating recent borehole explorations and radiometric dating with previous investigations.

This report presents the results of stratigraphic analysis of the southwestern quadrant of the Cedar Hills Regional Landfill (CHRLF). My report was intended to incorporate the recent Area 8 borehole data into the pre-existing analyses. This analysis was conducted during the preparation of the Area 8 Hydrogeologic Report, but is my independent investigation and does not represent the opinion of UEC or their associates. The CHRLF, in Maple Valley, WA, south of Squak Mountain, is a municipal solid waste landfill that has been in operation since the 1960s. A network of borings, the product of previous investigations, exists for the study area. I utilized the compiled boring logs, previous investigations, and the recently acquired data to produce a series of interpretative cross-sections for the study area. I recognized 9 distinct stratigraphic units, including fill. My interpreted stratigraphic units are similar to those identified in previous investigations such as the Area 7 Hydrogeologic investigation (HDR Engineering and Associates, 2008). These units include pre-Olympia aged non-glacial alluvium, glacial alluvium, and glacial till. Additionally, younger, Vashon-aged deposits of glacial till, recessional outwash, recessional lacustrine, and ice-contact were observed. An isolated “till-like” deposit was observed below the Vashon till. This could possibly represent an older till as mapped by Sweet Edwards (1985) and Booth (1995). I cite the continuity of the lower contact of the Vashon till (Unit 5, Table 2) and the upper contact pre-Vashon non-glacial fluvial deposits (Unit 9, Table 2) as evidence that faults or other structural features do not offset the deposits in the study area. This conclusion supports the findings of the pre-existing body of work within the landfill property and the nearby Queen City Farms property.

Randomized trial of 8 Gy in 1 versus 20 Gy in 5 fractions of radiotherapy for neuropathic pain due to bone metastases (Trans-Tasman Radiation Oncology Group, TROG 96.05)

Background and purpose: Despite numerous randomized trials investigating radiotherapy (RT) fractionation schedules for painful bone metastases, there are very few data on RT for bone metastases causing pain with a neuropathic component. The Trans-Tasman Radiation Oncology Group undertook a randomized trial comparing the efficacy of a single 8 Gy (8/1) with 20 Gy in 5 fractions (20/5) for this type of pain. Materials and methods: Eligible patients had radiological evidence of bone metastases from a known malignancy with no change in systemic therapy within 6 weeks before or anticipated within 4 weeks after RT, no other metastases along the distribution of the neuropathic pain and no clinical or radiological evidence of cord/cauda equina compression. All patients gave written informed consent. Primary endpoints were pain response within 2 months of commencement of RT and time to treatment failure (TTF). The hypothesis was that 8/1 is at least as effective as 20/5 and the planned sample size was 270 patients. Results: Between February 1996 and December 2002, 272 patients were randomized (8/1:20/5 = 137:135) from 15 centres (Australia 11, New Zealand 3, UK 1). The commonest primary cancers were lung (31%), prostate (29%) and breast (8%); index sites were spine (89%), rib (9%), other (2%); 72% of patients were males and the median age was 67 (range 2989). The median overall survival (95% CI) for all randomized patients was 4.8 mo (4.2-5.7 mo). The intention-to-treat overall response rates (95% Cl) for 8/1 vs 20/5 were 53% (45-62%) vs 61% (53-70%), P = 0.18. Corresponding figures for complete response were 26% (18-34%) vs 27% (19-35%), P = 0.89. The estimated median TTFs (95% CI) were 2.4 mo (2.0-3.3 mo) vs 3.7 mo (3.1-5.9 mo) respectively. The hazard ratio (95% Cl) for the comparison of TTF curves was 1.35 (0.99-1.85), log-rank P = 0.056. There were no statistically significant differences in the rates of re-treatment, cord compression or pathological fracture by arm. Conclusions: 8/1 was not shown to be as effective as 20/5, nor was it statistically significantly worse. Outcomes were generally poorer for 8/1, although the quantitative differences were relatively small. (c) 2004 Elsevier Ireland Ltd. All rights reserved.

Dissipation of acetochlor and its distribution in surface and sub-surface soil fractions during laboratory incubations

Pesticides in soil are subject to a number of processes that result in transformation and biodegradation, sorption to and desorption from soil components, and diffusion and leaching. Pesticides leaching through a soil profile will be exposed to changing environmental conditions as different horizons with distinct physical, chemical and biological properties are encountered. The many ways in which soil properties influence pesticide retention and degradation need to be addressed to allow accurate predictions of environmental fate and the potential for groundwater pollution. Degradation and sorption processes were investigated in a long-term (100 days) study of the chloroacetanilide herbicide, acetochlor. Soil cores were collected from a clay soil profile and samples taken from 0-30cm (surface), 1.0-1.3m (mid) and 2.7-3.0m (deep) and treated with acetochlor (2.5, 1.25, 0.67 mu g acetochlor g(-1) dry wt soil, respectively). In sterile and non-sterile conditions, acetochlor concentration in the aqueous phase declined rapidly from the surface and subsoil layers, predominantly through nonextractable residue (NER) formation on soil surfaces, but also through biodegradation and biotic transformation. Abiotic transformation was also evident in the sterile soils. Several metabolites were produced, including acetochlor-ethane sulphonic acid and acetochlor-oxanilic acid. Transformation was principally microbial in origin, as shown by the differences between non-sterile and sterile soils. NER formation increased rapidly over the first 21 days in all soils and was mainly associated with the macroaggregate (> 2000 mu m diameter) size fractions. It is likely that acetochlor is incorporated into the macroaggregates through oxidative coupling, as humification of particulate organic matter progresses. The dissipation (ie total loss of acetochlor) half-life values were 9.3 (surface), 12.3 (mid) and 12.6 days (deep) in the non-sterile soils, compared with 20.9 [surface], 23.5 [mid], and 24 days [deep] in the sterile soils, demonstrating the importance of microbially driven processes in the rapid dissipation of acetochlor in soil.

Optimization of Rational Approximations by Continued Fractions

The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.

Polynomials of Pellian Type and Continued Fractions

We investigate infinite families of integral quadratic polynomials {fk (X)} k∈N and show that, for a fixed k ∈ N and arbitrary X ∈ N, the period length of the simple continued fraction expansion of √fk (X) is constant. Furthermore, we show that the period lengths of √fk (X) go to infinity with k. For each member of the families involved, we show how to determine, in an easy fashion, the fundamental unit of the underlying quadratic field. We also demonstrate how the simple continued fraction ex- pansion of √fk (X) is related to that of √C, where √fk (X) = ak*X^2 +bk*X + C. This continues work in [1]–[4].