A Holocene paleoenvironmental record based on ungulate stable isotopes from Lukenya Hill, Kenya

Investigating the development of Holocene behavioral adaptations requires knowing how and why different human groups are distributed on the landscape. An expanded dataset of site-specific environmental and habitat reconstructions from eastern Africa are crucial contextual components necessary for pushing this line of inquiry forward. This paper provides localized paleoenvironmental data from Holocene deposits at the multi-site Lukenya Hill archaeological complex on the Athi-Kapiti Plains of Kenya. Lukenya Hill preserves two temporal units, an early-mid Holocene (~9.0–4.6 ka) and a late Holocene (~2.3–1.2 ka), which span the end of the African Humid Period and the onset of late Holocene aridification. Carbon isotope analysis of herbivore tooth enamel (n = 22) indicates an increase in open grasslands over time with the early-mid Holocene having a woodier signal than the late Holocene and Recent populations in the Athi ecosystem. This pattern deviates from local environmental sequences in the Lake Victoria and Lake Turkana basins, providing additional evidence of heterogeneous habitat conditions during the Holocene of eastern Africa. The expansion of locally specific paleoecological datasets in eastern Africa allows for an examination of the role climate and ecology played in human economic and behavioral development during the Holocene.Accepted manuscrip

Counting fixed points and rooted closed walks of the singular map x↦xxnx \mapsto x^{x^n} modulo powers of a prime

The "self-power" map $x \mapsto x^x$ modulo $m$ and its generalized form $x \mapsto x^{x^n}$ modulo $m$ are of considerable interest for both theoretical reasons and for potential applications to cryptography. In this paper, we use $p$-adic methods, primarily $p$-adic interpolation, Hensel's lemma, and lifting singular points modulo $p$, to count fixed points and rooted closed walks of equations related to these maps when $m$ is a prime power. In particular, we introduce a new technique for lifting singular solutions of several congruences in several unknowns using the left kernel of the Jacobian matrix.Comment: 18 pages. Version 2 shortens proofs, reduces redundancy, and introduces new technique for counting rooted closed walks. Version 3 updates title to agree with journal publicatio

A Farm Building Evaluation Technique for Tax Assessment

The purpose of this study is to develop a technique which may be used to improve farm buildings assessment procedures in South Dakota, Since farm buildings contribute in varying amounts to farm productivity, they should be assessed in direct proportion to their contribution. Such a procedure should aid tax assessors to determine accurately the true valuation. The specific objectives of the study were (1) to determine the relationship between market price and soil productivity for use in assessment of farm real estate; (2) to establish a ratio of the market value of buildings to land; and (3) to develop a technique for assessment of farm buildings based on relative soil productivity and differences in market price of improved and unimproved farm real estate. The study is designed to facilitate in equalizing tax assessments between farms within a county. As the procedure is adopted in other counties, it will help to equalize assessments between counties

A Farm Building Evaluation Technique for Tax Assessment

The purpose of this study is to develop a technique which may be used to imporove farm buildings assessment procedures in South Dakota. Since farm buildings assessment procedures in South Dakota. Since farm buildings contribute in varying amounts to farm productivity, they should be assessed in direct proportion to their contribution. Such a procedure should aid tax assessors to determine accurately the true valuation. The specific objectives of the study were (1) to determine the relationship between market price and soil productivity for use in assessment of farm real estate; (2) to establish a ratio of the market value of buildings based on relative soil productivity and differences in market price of improved and unimproved farm real estate. The study is designed to facilitate in equalizing tax assessments between farms within a county. As the procedure is adopted in other counties, it will help to equalize assessments between counties

Morphometric approach to many-body correlations in hard spheres

We model the thermodynamics of local structures within the hard sphere liquid at arbitrary volume fractions through the \textit{morphometric} calculation of $n$-body correlations. We calculate absolute free energies of local geometric motifs in excellent quantitative agreement with molecular dynamics simulations across the liquid and supercooled liquid regimes. We find a bimodality in the density library of states where five-fold symmetric structures appear lower in free energy than four-fold symmetric structures, and from a single reaction path predict a relaxation barrier which scales linearly in the compressibility factor. The method provides a new route to assess changes in the free energy landscape at volume fractions dynamically inaccessible to conventional techniques.Comment: 6+17 pages, 3 figure

Matthewson St. United Methodist Church: Rehabilitation Feasiblity Report

The first-story floor plan was altered significantly during the 1951 renovations, and the entry vestibule is adorned with Neo-Gothic panelling. The chapel on the first floor is handsomely finished. The two-story sanctuary space has a semi-circular configuration with pews radiating from the altar, a balcony and substantial crown moulding

Letter from Joshua Robinson to James B. Finley

Robinson returns the George W. Jackson letter to Finley with an explanation. Apparently, the contemptible letter involved a delivery by Mr. Jackson to the prison, and had nothing to do with Finley. Abstract Number - 1132https://digitalcommons.owu.edu/finley-letters/2116/thumbnail.jp