In this article we provide a detailed description of a technique to obtain a simple parameterization for different exceptional Lie groups, such as G{sub 2}, F{sub 4} and E{sub 6}, based on their fibration structure. For the compact case, we construct a realization which is a generalization of the Euler angles for SU(2), while for the non compact version of G{sub 2(2)}/SO(4) we compute the Iwasawa decomposition. This allows us to obtain not only an explicit expression for the Haar measure on the group manifold, but also for the cosets G{sub 2}/SO(4), G{sub 2}/SU(3), F{sub 4}/Spin(9), E{sub 6}/F{sub 4} and G{sub 2(2)}/SO(4) that we used to find the concrete realization of the general element of the group. Moreover, as a by-product, in the simplest case of G{sub 2}/SO(4), we have been able to compute an Einstein metric and the vielbein. The relevance of these results in physics is discussed.

On February 1, 1861, delegates at the Texas Secession Convention elected to leave the Union. The people of Texas supported the actions of the convention in a statewide referendum, paving the way for the state to secede and to officially become the seventh state in the Confederacy. Soon the Texans found themselves engaged in a bloody and prolonged civil war against their northern brethren. During the course of this war, the lives of thousands of Texans, both young and old, were changed forever. This new anthology, edited by Kenneth W. Howell, incorporates the latest scholarly research on how Texans experienced the war. Eighteen contributors take us from the battlefront to the home front, ranging from inside the walls of a Confederate prison to inside the homes of women and children left to fend for themselves while their husbands and fathers were away on distant battlefields, and from the halls of the governor’s mansion to the halls of the county commissioner’s court in Colorado County. Also explored are well-known battles that took place in or near Texas, such as the Battle of Galveston, the Battle of Nueces, the Battle of Sabine Pass, and the Red River Campaign. Finally, the social and …

This guide aims to help individuals and communities know and understand Earth’s climate, the impacts of climate change, and approaches to adaptation or mitigation. The guide aims to promote greater climate science literacy by providing an educational framework of principles and concepts. The guide can serve educators who teach climate science as a way to meet content standards in their science curricula.

Biweekly, comprehensive compilation of decisions, reports, public notices, and other documents of the U.S. Federal Communications Commission.

When fractures in otherwise hard rocks are filled with fluids (oil, gas, water, CO{sub 2}), the type and physical state of the fluid (liquid or gas) can make a large difference in the wave speeds and attenuation properties of seismic waves. The present work summarizes methods of deconstructing theses effects of fractures, together with any fluids contained within them, on wave propagation as observed in reflection seismic data. Additional studies of waves in fluid-saturated granular media show that the behavior can be quite different from that for fractured media, since these materials are typically much softer mechanically than are the fractured rocks (i.e., having a very small drained moduli). Important fluid effects in such media are often governed as much by fluid viscosity as by fluid bulk modulus.

Contaminants in soil can impact human health and the environment through a complex web of interactions. Soils exist where the atmosphere, hydrosphere, geosphere, and biosphere converge. Soil is the thin outer zone of the earth's crust that supports rooted plants and is the product of climate and living organisms acting on rock. A true soil is a mixture of air, water, mineral, and organic components. The relative proportions of these components determine the value of the soil for agricultural and for other human uses. These proportions also determine, to a large extent, how a substance added to soil is transported and/or transformed within the soil (Spositio, 2004). In mass-balance models, soil compartments play a major role, functioning both as reservoirs and as the principal media for transport among air, vegetation, surface water, deeper soil, and ground water (Mackay, 2001). Quantifying the mass transport of chemicals within soil and between soil and atmosphere is important for understanding the role soil plays in controlling fate, transport, and exposure to multimedia pollutants. Soils are characteristically heterogeneous. A trench dug into soil typically reveals several horizontal layers having different colors and textures. As illustrated in Figure 1, these multiple layers are often divided into …

List of Primary Care Case Management program approved primary care providers, hospitals, specialists, and family planning providers, located in the Southeast Texas area.

Annual handbook documenting information for college students about the Texas Guaranteed Tuition Plan, including general information about the program and how it works, fees and scholarships, how the plan applies to various institutions, and other information about using the program.