Weight Spectrum of Quasi-Perfect Binary Codes with Distance 4

We consider the weight spectrum of a class of quasi-perfect binary linear codes with code distance 4. For example, extended Hamming code and Panchenko code are the known members of this class. Also, it is known that in many cases Panchenko code has the minimal number of weight 4 codewords. We give exact recursive formulas for the weight spectrum of quasi-perfect codes and their dual codes. As an example of application of the weight spectrum we derive a lower estimate for the conditional probability of correction of erasure patterns of high weights (equal to or greater than code distance).Comment: 5 pages, 11 references, 2 tables; some explanations and detail are adde

Maars to calderas. End-members on a spectrum of explosive volcanic depressions

We discuss maar-diatremes and calderas as end-members on a spectrum of negative volcanic landforms (depressions) produced by explosive eruptions (note—we focus on calderas formed during explosive eruptions, recognizing that some caldera types are not related to such activity). The former are dominated by ejection of material during numerous discrete phreatomagmatic explosions, brecciation, and subsidence of diatreme fill, while the latter are dominated by subsidence over a partly evacuated magma chamber during sustained, magmatic volatile-driven discharge. Many examples share characteristics of both, including landforms that are identified as maars but preserve deposits from non-phreatomagmatic explosive activity, and ambiguous structures that appear to be coalesced maars but that also produced sustained explosive eruptions with likely magma reservoir subsidence. A convergence of research directions on issues related to magma-water interaction and shallow reservoir mechanics is an important avenue toward developing a unified picture of the maar-diatreme-caldera spectrum

Corrigendum. Maars to calderas: end-members on a spectrum of explosive volcanic depressions

A corrigendum on Maars to calderas: end-members on a spectrum of explosive volcanic depressions by Palladino, D. M., Valentine, G. A., Sottili, G., and Taddeucci, J. (2015). Front. Earth Sci. 3:36. doi: 10.3389/feart.2015.00036 Reason for Corrigendum: In the original article (Palladino et al., 2015), there was an error in Figure 1. The vertical axis of the qualitative plot reported erroneously “ratio of juvenile to lithic materials in deposits outside of depression”. The correct wording is as follows: “ratio of juvenile to total (i.e., juvenile+lithic) materials in deposits outside of depression”. In fact, as it was reported correctly in the text, the amount of juvenilematerial (i.e., scoria or pumice) deposited ouside the different types of explosive volcanic depressions increases from zero (i.e., no juvenile, all lithic products), as is the case of hydrothermal (phreatic) explosion craters, to become largely dominant over the lithic component in the case of ash flow deposits associated with large overpressure collapse calderas. The corrected Figure 1 appears below. The authors apologize for this error and state that this does not change the scientific conclusions of the article in any way

Cross-Border Canada/U.S. Cooperation in Investigations and Enforcement Actions

crossborder investigation and enforcement--Canada and United State

Church Liability for Negligence

The basic and pertinent problems of church immunity should be categorized and surveyed in order to show the lack of justification for this privileged position. These problems may be divided into four categories: (1) the modern church as a charity; (2) constitutionality; (3) legality; (4) the social necessity of church immunity. These classifications can shed proper light upon the present status and the future developments of this doctrine

The Clergyman: His Privileges and Liabilities

The doctrine of separation of church and state does not exclude the civil courts from jurisdiction over many church related questions. Constitutional guarantees of freedom of religion may not be allowed to lead to anarchy by allowing the church to be independent of state surveillance. On the other hand, the law does not claim that the church purchased its independence at the price of not criticizing the state when morality, ethical government or responsible citizenship are at stake. While this discussion is couched chiefly in terms of Protestant churches and clergymen, it is equally applicable to Roman Catholic, Jewish, and other religious polities as well, in most respects