Payment of the Liquidated Portion of a Debt as Consideration for the Discharge of the Entire Claim

In a recent Washington case, Paulsen Estate, Inc. v. Naches-Selah Irrigation District, the Supreme Court was called upon to decide whether the payment of the liquidated portion of a debt was a sufficient consideration for the discharge of the remaining part which was disputed by the parties. The court\u27s decision that the debtor was thereby discharged presents a phase of accord and satisfaction which has had a peculiar history in this state

Topological and geometric inference of data

The overarching problem under consideration is to determine the structure of the subspace on which a distribution is supported, given only a finite noisy sample thereof. The special case in which the subspace is an embedded manifold is given particular attention owing to its conceptual elegance, and asymptotic bounds are obtained on the admissible level of noise such that the manifold can be recovered up to homotopy equivalence. Attention is turned on how to accomplish this in practice. Following ideas from topological data analysis, simplicial complexes are used as discrete analogues of spaces suitable for computation. By utilising the prior assumption that the data lie on a manifold, topologically inspired techniques are proposed for refining the simplicial complex to better approximate this manifold. This is applied to the problem of nonlinear dimensionality reduction and found to improve accuracy of reconstructing several synthetic and real-world datasets. The second chapter focuses on extending this work to the case where the ambient space is non-Euclidean. The interfaces between topological data analysis, functional data analysis, and shape analysis are thoroughly explored. Lipschitz bounds are proved which relate several metrics on the space of positive semidefinite matrices; they are then interpreted in the context of topological data analysis. This is applied to diffusion tensor imaging and phonology. The final chapter explores the case where the points are non-uniformly distributed over the embedded subspace. In particular, a method is proposed to overcome the shortcomings of witness complex construction when there are large deviations in the density. The theory of multidimensional persistence is leveraged to provide a succinct setting in which the structure of the data can be interpreted as a generalised stratified space.EPSR

Alien Registration- Goucher, John M. (Farmington, Franklin County)

https://digitalmaine.com/alien_docs/19895/thumbnail.jp

Sewer System Design for Camp Challenge and Determination of Per Capita Wastewater Flows from Vacation Facilities

A sewer system was designed for Camp Challenge of the Florida Easter Seal Society, in Mount Plymouth, Florida, of polyvinyl chloride piping. Invert elevations were tabulized and necessary fittings determined for the system. Cost estimates were also included. The sewers were designed on a per fixture basis so as not to overdesign using per capita flow rates. A literature and records search was conducted to obtain design and actual wastewater flow quantities in gallons per capita per day (gpcd). Actual flows determined from 4 camps and 11 travel trailer parks gave average values of 39 and 33 gpcd, respectively, and can be used as design parameters for wastewater treatment facilities. However, further investigations and intensive flow monitoring are deemed necessary to provide a wider, more accurate data base with less variability

Invariant means on Abelian groups capture complementability of Banach spaces in their second duals

Let $X$ be a Banach space. Then $X$ is complemented in the bidual $X^{**}$ if and only if there exists an invariant mean $\ell_\infty(G, X)\to X$ with respect to a free Abelian group $G$ of rank equal to the cardinality of $X^{**}$, and this happens if and only if there exists an invariant mean with respect to the additive group of $X^{**}$. This improves upon previous results due to Bustos Domecq =and the second-named author, where certain idempotent semigroups of cardinality equal to the cardinality of $X^{**}$ were considered, and answers a question of J.M.F. Castillo (private communication). En route to the proof of the main result, we endow the family of all finite-dimensional subspaces of an infinite-dimensional vector space with a structure of a free commutative monoid with the property that the product of two subspaces contains the respective subspaces, which is possibly of interest in itself.Comment: 12 pp., accepted for publication in Studia Mathematic

The Value of Life: Real Risks and Safety-Related Productivity in the Himalaya

This paper estimates the value of a statistical life from commercial Himalayan expeditions. Because deaths occur with a fair amount of regularity, fatality rates are calculated for each mountain trail and are, hence, disaggregated measures of risk. Also, since the marginal product of labor in the industry is (in part) the marginal product of safety, our revenue measures may account for unobserved safety-related productivity of guides. Guide safety is explicitly observed by market participants, and is reflected in higher wages for safer guides. Our VSL estimates are about $5 M

Study for control of microbial growth in manned spacecraft Phase I report, 30 Oct. 1964 - 30 Jan. 1965

Microorganism growth control in manned spacecraft environmen

The Effect of Music on Mental Deficiency

In this research we are concerning ourselves with the problem of the validity of tests. What is accomplished in measuring ones intelligence and how does this effect his study of music? Is there a connection between music and the other subjects in his curriculum? If there is a connection and tests are of great value to us then we are justified in saying that a child can study music because he has a high I. Q. But then what of the many children with a low I. Q.? Couldn\u27t music be of benefit to them? Perhaps in many cases music may be the very study that they need to help them in their particular mental disease