Four methods of up-scaling coupled equations at the microscale to equations valid at the mesoscale and/or macroscale for fluid-saturated and partially saturated porous media will be discussed, compared, and contrasted. The four methods are: (1) effective medium theory, (2) mixture theory, (3) two-scale and multiscale homogenization, and (4) volume averaging. All these methods have advantages for some applications and disadvantages for others. For example, effective medium theory, mixture theory, and homogenization methods can all give formulas for coefficients in the up-scaled equations, whereas volume averaging methods give the form of the up-scaled equations but generally must be supplemented with physical arguments and/or data in order to determine the coefficients. Homogenization theory requires a great deal of mathematical insight from the user in order to choose appropriate scalings for use in the resulting power-law expansions, while volume averaging requires more physical insight to motivate the steps needed to find coefficients. Homogenization often is performed on periodic models, while volume averaging does not require any assumption of periodicity and can therefore be related very directly to laboratory and/or field measurements. Validity of the homogenization process is often limited to specific ranges of frequency - in order to justify the scaling hypotheses that …

First, we review a result in our previous paper, of how a ten-dimensional superparticle, taken off-shell, has a hidden eleven-dimensional superPoincare symmetry. Then, we show that the physical sector is defined by three first-class constraints which preserve the full eleven-dimensional symmetry. Applying the same concepts to the eleven dimensional superparticle, taken off-shell, we discover a hidden twelve dimensional superPoincare symmetry that governs the theory.

Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.

The study of matter at near solid density and at temperatures of 1-10 eV is a great challenge to both experimentalists and theorists, because such matter exhibits internal energy density which is very high but insufficient to overpower the inter-atomic potentials. This form of matter, intermediate to condensed matter and plasmas, exists in many astrophysical systems. In this paper, we describe an experimental program to study solid-density matter heated to temperatures near 1 eV per atom with ultrafast pulses of x-rays. An intense, ultra-short laser pulse incident upon a thin foil produces a burst of K-{alpha} x-rays, which are used to flash heat an adjacent bulk sample. Optical interferometric probing of the sample with sub-ps time resolution allows us to measure its expansion into vacuum upon heating. K-{alpha} source target properties are optimized for irradiation of the adjacent sample. Initial results on K-{alpha} yields and heating of Al foils will be discussed.

California is currently faced with some critical decisions about water resource infrastructure development in highly urbanized regions, whose outcome will dictate the future long-term viability of plentiful water. Among these is developing and safely implementing the reuse of advanced treated waste water. One of the most reliable strategies for this water resource is its indirect reuse via groundwater recharge and storage, with particular emphasis on supplementing annual water demand or during drought relief. The Orange County Water District (District) is currently implementing the first phase of a large-scale water reuse project that will advance-treat up to 60 million gallons per day of waste water and recharge it into existing percolation basins in the Forebay region of the Orange County groundwater basin. In order for the District to protect public health, the fate and potability of this recharged waste water needs to be understood. In particular, the direction and rates of flow into underlying aquifers need to be characterized so that changes in water quality can be quantified between the recharge basins and points of production. Furthermore, to ensure compliance to California Department of Health Services (DHS) draft regulations, the direction and rate of recharged waste water from these basins need …

Video recording from The Black Academy of Arts and Letters recorded during their 11th Annual Christmas Kwanzaa Concert event in 2004. This video features musical performances by youth choirs and bands in the Dallas area celebrating the holiday season of Christmas and Kwanzaa live on stage. This video is Part 1 of 2 of the event.

Document about the McKinney chapter of the Texas Society, Sons of the American Revolution.

B-roll video footage from the KXAS-TV/NBC station in Fort Worth, Texas, to accompany a news story.

B-roll video footage from the KXAS-TV/NBC station in Fort Worth, Texas, to accompany a news story.

B-roll video footage from the KXAS-TV/NBC station in Fort Worth, Texas, to accompany a news story.

B-roll video footage from the KXAS-TV/NBC station in Fort Worth, Texas, to accompany a news story.

Commencement program for Texas Southern University including the order of exercises and a list of all recipients of degrees in 2003, broken down by college and degree type. The commencement speaker is Rev. William Lawson and his biography is included in the program.

Speech presented at the Texas Southern University's December Commencement on December 13, 2003 discussing the changes in the United States between 1999 and 2003.