Binomial Ideals and Congruences on Nn

Producción CientíficaA congruence on Nn is an equivalence relation on Nn that is compatible with the additive structure. If k is a field, and I is a binomial ideal in k[X1,…,Xn] (that is, an ideal generated by polynomials with at most two terms), then I induces a congruence on Nn by declaring u and v to be equivalent if there is a linear combination with nonzero coefficients of Xu and Xv that belongs to I. While every congruence on Nn arises this way, this is not a one-to-one correspondence, as many binomial ideals may induce the same congruence. Nevertheless, the link between a binomial ideal and its corresponding congruence is strong, and one may think of congruences as the underlying combinatorial structures of binomial ideals. In the current literature, the theories of binomial ideals and congruences on Nn are developed separately. The aim of this survey paper is to provide a detailed parallel exposition, that provides algebraic intuition for the combinatorial analysis of congruences. For the elaboration of this survey paper, we followed mainly (Kahle and Miller Algebra Number Theory 8(6):1297–1364, 2014) with an eye on Eisenbud and Sturmfels (Duke Math J 84(1):1–45, 1996) and Ojeda and Piedra Sánchez (J Symbolic Comput 30(4):383–400, 2000).National Science Foundation (grant DMS-1500832)Ministerio de Economía, Industria y Competitividad (project MTM2015-65764-C3-1)Junta de Extremadura (grupo de investigación FQM-024

Fabrication of large tungsten structures by chemical vapor deposition

Process is accomplished by reducing tungsten hexafluoride with hydrogen. Metallic tungsten of essentially 100 percent purity and density is produced and built up as dense deposit on heated mandrel assembly. Process variations are building up, sealing or bonding refractory metals at temperatures below transition temperatures of base metal substrates

A History of Radio Station KFUO 1954 to 1969

The purpose of this research paper is two-fold. First, I hope to bring together significant source material for future historical analyses of Radio Station KFUO during the years 1954-1969. Hence, this paper is accompanied by a bulky Appendix, that reproduces the significant historical documents, and by a detailed Bibliobraphy, noting the location of additional materials. Second, this time period was selected both because scanty historical study has been focussed on it heretofore, and because 1954-1969 is the tenure of KFUO\u27s second General Manager. The events that occurred during this time period have significantly altered the historical motion of KFUO and are the basis upon which its future must proceed

Estimated Surface Motions of the Earth's Core

Estimated surface fluid motions of earth core, and rotational and irrotational flow dat

Comparison of estimates of surface fluid motions of the earth's core various epochs

Method of determining velocity of surface fluid motions of earth core for various epoch

On the determination of surface motions of the earth's core

Surface motion of earth cor

Nature of surface flow in the earth's central core

Nonuniform fluid velocity effect at surface of earth core on nature of surface flo

Uniform random colored complexes

We present here random distributions on $(D+1)$-edge-colored, bipartite graphs with a fixed number of vertices $2p$. These graphs are dual to $D$-dimensional orientable colored complexes. We investigate the behavior of quantities related to those random graphs, such as their number of connected components or the number of vertices of their dual complexes, as $p \to \infty$. The techniques involved in the study of these quantities also yield a Central Limit Theorem for the genus of a uniform map of order $p$, as $p \to \infty$.Comment: 36 pages, 9 figures, minor additions and correction

Mass media handbook for water resources research directors

Cover title."This handbook has been produced as part of project X-127-MO, 'Dissemination of Water Resources Research Project Findings Through the Mass Media and Evaluation of Public Acceptance'"--P. 1