Nested, fixed-depth fluidic sampler and analysis system deployment strategy and plan

Under the Hanford Site Tank Waste Remediation System (TWRS) privatization strategy, the US Department of Energy (DOE) requires the Project Hanford Management Contract (PHMC) Team to supply tank wastes to the Privatization Contractor for separation, treatment and immobilization (verification). Three low-activity waste (LAW) envelopes represent the range of the liquid wastes in the large underground waste-storage tank at the Hanford Site. The PHMC Team also is expected to supply high-level waste (HLW) to the Privatization Contractor. The LAW envelope is an aqueous slurry of insoluble suspended solids (sludge). The Phase 1 demonstration period will extend over 10-plus years. Wastes processed during this period will result in 6% to 13% of the total Hanford Site tank waste being treated. The purpose of this document is to provide a strategy and top-level implementation plan for the demonstration and deployment of an alternative sampling technology as an improvement to the current grab sampling approach to support the TWRS privatization. Included in this work is the addition of the capability for some at-tank analysis to enhance the use of this technology for meeting the PHMC Team`s needs. The first application of this technology is to LAW feed staging, then to HLW feed staging, and finally to cross-site transfer to support feed staging from 200 West Area tanks. The TWRS retrieval and disposal mission readiness-to-proceed activities in the first quarter of Fiscal Year (FY) 1998 identified the primary uncertainties and risks that must be managed to successfully carry out the support of the TWRS Phase 1 activities. Four of the critical risks could be mitigated, at least partially, by the use of an improved alternative to grab sampling. In addition, eight of the risks with the Waste Feed Delivery Project were associated with the sampling activities. Over 25 logic elements, Technical Basis Reviews (TBR), were reviewed and found to be relevant to risk mitigation using an improved alternative to grab sampling. This document describes these risks and uses a methodology for risk analysis to determine a preliminary estimate of return on investment for pursuing an alternative sampling technology. The basis for the estimate will be firmed up as fiscal year multi-year work planning is conducted and the associated TBRs and cost estimating input sheets are updated. In this calculation the benefits were conservatively estimated to accrue only during the first five years of operation; with this assumption, a return of about double the original investment for development and deployment was projected

A double bounded key identity for Goellnitz's (big) partition theorem

Given integers i,j,k,L,M, we establish a new double bounded q-series identity from which the three parameter (i,j,k) key identity of Alladi-Andrews-Gordon for Goellnitz's (big) theorem follows if L, M tend to infinity. When L = M, the identity yields a strong refinement of Goellnitz's theorem with a bound on the parts given by L. This is the first time a bounded version of Goellnitz's (big) theorem has been proved. This leads to new bounded versions of Jacobi's triple product identity for theta functions and other fundamental identities.Comment: 17 pages, to appear in Proceedings of Gainesville 1999 Conference on Symbolic Computation

A study on the fourth q-Painlev\'e equation

A q-difference analogue of the fourth Painlev\'e equation is proposed. Its symmetry structure and some particular solutions are investigated.Comment: 18 page

dS-AdS structures in the non-commutative Minkowski spaces

We consider a family of non-commutative 4d Minkowski spaces with the signature (1,3) and two types of spaces with the signature (2,2). The Minkowski spaces are defined by the common reflection equation and differ in anti-involutions. There exist two Casimir elements and the fixing of one of them leads to non-commutative "homogeneous" spaces $H_3$, $dS_3$, $AdS_3$ and light-cones. We present the quasi-classical description of the Minkowski spaces. There are three compatible Poisson structures - quadratic, linear and canonical. The quantization of the former leads to the considered Minkowski spaces. We introduce the horospheric generators of the Minkowski spaces. They lead to the horospheric description of $H_3$, $dS_3$ and $AdS_3$. The irreducible representations of Minkowski spaces $H_3$ and $dS_3$ are constructed. We find the eigen-functions of the Klein-Gordon equation in the terms of the horospheric generators of the Minkowski spaces. They give rise to eigen-functions on the $H_3$, $dS_3$, $AdS_3$ and light-cones.Comment: 31 pages, LateX, typos corrected, references adde

Hypergeometric solutions to the q-Painlev\'e equation of type A4(1)A_4^{(1)}

We consider the q-Painlev\'e equation of type $A_4^{(1)}$ (a version of q-Painlev\'e V equation) and construct a family of solutions expressible in terms of certain basic hypergeometric series. We also present the determinant formula for the solutions.Comment: 16 pages, IOP styl

On a q-difference Painlev\'e III equation: I. Derivation, symmetry and Riccati type solutions

A q-difference analogue of the Painlev\'e III equation is considered. Its derivations, affine Weyl group symmetry, and two kinds of special function type solutions are discussed.Comment: arxiv version is already officia

The interrelation between the electronic parameters of nitrogen atom and intramolecular interactions in ammonia derivatives

The electronic parameters and intramolecular interactions in the ground and transition states of inversion of the amines H₂NXHn (XHn=CH₃, NH₂, OH, F, SiH₃, PH₂, SH, Cl) were calculated using DFT (PBE96/def2-tzvpp) method. It was established that the electronacceptor properties of the XHn substituents has a prevailing influence on the change of the electronic parameters of nitrogen atom. Its increase leads to both a decrease of the charge on the nitrogen atom and an increase of the s-character and population of nitrogen lone pair (LP). All parameters under consideration correlate with the χ- and σᵢ-constants of the XHn substituents. The correlation coefficients increase when amines that contain X atoms only from one period are considered separately. It was found that the ρ values for amines containing X atoms from the second or third period are substantially different. The changes of the donor-acceptor interaction energies, s-character and LP population cannot be probable causes for different sensitivity of the electronic parameters of amines containing X atoms from different periods to the change of electron-acceptor properties of the XHn substituents. It was established that the mentioned parameters has only a subordinated influence in comparison with the influence of electron-acceptor ability of the XHn substituents. The negative charge on the nitrogen atom decreases with the increase of s-character and LP population and also with the decrease of energies of donor-acceptor interactions which lead to the withdrawal of electron density from the nitrogen atom. The s-character and LP population increase with the decrease of energies of donor-acceptor interactions which result in the reduction of electron density on the nitrogen atom. The total positive charges of the XHn groups and hydrogen atoms at the nitrogen atom decrease with increasing the electron-acceptor ability of the XHn substituents. The representation of the electron-acceptor properties of the substituents was shown to be more valid by using the χ-constants than by using the σᵢ-constants. The chlorine atom is a weak electron acceptor in comparison with an amino group

Non-diagonal reflection for the non-critical XXZ model

The most general physical boundary $S$-matrix for the open XXZ spin chain in the non-critical regime ($\cosh (\eta)>1$) is derived starting from the bare Bethe ansazt equations. The boundary $S$-matrix as expected is expressed in terms of $\Gamma_q$-functions. In the isotropic limit corresponding results for the open XXX chain are also reproduced.Comment: 8 pages Late

Formulas for ASEP with Two-Sided Bernoulli Initial Condition

For the asymmetric simple exclusion process on the integer lattice with two-sided Bernoulli initial condition, we derive exact formulas for the following quantities: (1) the probability that site x is occupied at time t; (2) a correlation function, the probability that site 0 is occupied at time 0 and site x is occupied at time t; (3) the distribution function for the total flux across 0 at time t and its exponential generating function.Comment: 18 page

Pioneering the human development revolution: Analysing the trajectory of Mahbub ul Haq

Mahbub ul Haq's work to coordinate, establish and propagate the human development approach offers an example of effective leadership in promoting more ethical socio-economic development. This article reviews Pioneering the Human Development Revolution-An Intellectual Biography of Mahbub ul Haq (edited by Haq and Ponzio), and extends themes from the United Nations Intellectual History Project to examine Haq's contributions in terms of four aspects of leadership: articulating and applying values that combine depth with broad appeal; providing a fruitful and vivid way of seeing, a 'vision', that reflects the values; embodying the values and vision in workable practical proposals; and supporting and communicating the previous aspects through wide and relevant networks. It suggests that the human development approach may need to update its values and vision, including through better integration of human security thinking, if it is to retain the leadership role it acquired thanks to Haq