Ground and Electronic Excited States from Pairing Matrix Fluctuation and Particle-Particle Random Phase Approximation

The accurate description of ground and electronic excited states is an important and challenging topic in quantum chemistry. The pairing matrix fluctuation, as a counterpart of the density fluctuation, is applied to this topic. From the pairing matrix fluctuation, the exact electron correlation energy as well as two electron addition/removal energies can be extracted. Therefore, both ground state and excited states energies can be obtained and they are in principle exact with a complete knowledge of the pairing matrix fluctuation. In practice, considering the exact pairing matrix fluctuation is unknown, we adopt its simple approximation --- the particle-particle random phase approximation (pp-RPA) --- for ground and excited states calculations. The algorithms for accelerating the pp-RPA calculation, including spin separation, spin adaptation, as well as an iterative Davidson method, are developed. For ground states correlation descriptions, the results obtained from pp-RPA are usually comparable to and can be more accurate than those from traditional particle-hole random phase approximation (ph-RPA). For excited states, the pp-RPA is able to describe double, Rydberg, and charge transfer excitations, which are challenging for conventional time-dependent density functional theory (TDDFT). Although the pp-RPA intrinsically cannot describe those excitations excited from the orbitals below the highest occupied molecular orbital (HOMO), its performances on those single excitations that can be captured are comparable to TDDFT. The pp-RPA for excitation calculation is further applied to challenging diradical problems and is used to unveil the nature of the ground and electronic excited states of higher acenes. The pp-RPA and the corresponding Tamm-Dancoff approximation (pp-TDA) are also applied to conical intersections, an important concept in nonadiabatic dynamics. Their good description of the double-cone feature of conical intersections is in sharp contrast to the failure of TDDFT. All in all, the pairing matrix fluctuation opens up new channel of thinking for quantum chemistry, and the pp-RPA is a promising method in describing ground and electronic excited states.

New pairing scheme to overhaul BCS theory

In a superconductor pair occupancy probabilities are doubly defined with conflicting values when normal and umklapp scattering coexist with the same destination momentum. To resolve this issue a new pairing scheme is introduced to assert normal–umklapp frustration under such circumstances. Superconductivity then arises solely from residual umklapp scattering to destination momenta not reached by normal scattering. Consequent Tc calculations from first principles for niobium, tantalum, lead and aluminum turn out to be accurate within a few percent. A new perspective is revealed to support Matthias׳ rule. New light is also shed relevant to the future study of metallic hydrogen.

Protocolised weaning from mechanical ventilation: pairing a qualitative review with an effectiveness review

In our systematic review of protocolised weaning from mechanical ventilation (Blackwood 2014) we found significant heterogeneity that could not be explained by subgroup analysis (type of protocol, ICU). We suspected that factors unreported in the trials relating to context and mechanisms of using the weaning protocols contributed to the heterogeneity. Therefore we set out to conduct a Cochrane qualitative evidence-synthesis of ‘sibling studies’ (qualitative studies undertaken alongside the included trials that may have examined these factors) and ‘stand-alone’ qualitative studies reporting barriers and facilitators to successful implementation of weaning protocols. The qualitative review was novel, there were few templates or guidelines which challenged us to consider how best to synthesise and report this evidence. However, the benefits of conducting this review are that not only do we have a template for future qualitative syntheses for the ACE group, but specifically for trials of weaning protocols, we found context-specific evidence concerning if, how and why specific protocols have been effective in the settings in which they were delivered and received.

Fast and efficient user pairing and power allocation algorithm for non-orthogonal multiple access in cellular networks

Non-orthogonal multiple access (NOMA) is emerging as a promising multiple access technology for the fifth generation cellular networks to address the fast growing mobile data traffic. It applies superposition coding in transmitters, allowing simultaneous allocation of the same frequency resource to multiple intra-cell users. Successive interference cancellation is used at the receivers to cancel intra-cell interference. User pairing and power allocation (UPPA) is a key design aspect of NOMA. Existing UPPA algorithms are mainly based on exhaustive search method with extensive computation complexity, which can severely affect the NOMA performance. A fast proportional fairness (PF) scheduling based UPPA algorithm is proposed to address the problem. The novel idea is to form user pairs around the users with the highest PF metrics with pre-configured fixed power allocation. Systemlevel simulation results show that the proposed algorithm is significantly faster (seven times faster for the scenario with 20 users) with a negligible throughput loss than the existing exhaustive search algorithm.

Hardware processors for pairing-based cryptography

Bilinear pairings can be used to construct cryptographic systems with very desirable properties. A pairing performs a mapping on members of groups on elliptic and genus 2 hyperelliptic curves to an extension of the finite field on which the curves are defined. The finite fields must, however, be large to ensure adequate security. The complicated group structure of the curves and the expensive field operations result in time consuming computations that are an impediment to the practicality of pairing-based systems. The Tate pairing can be computed efficiently using the ɳT method. Hardware architectures can be used to accelerate the required operations by exploiting the parallelism inherent to the algorithmic and finite field calculations. The Tate pairing can be performed on elliptic curves of characteristic 2 and 3 and on genus 2 hyperelliptic curves of characteristic 2. Curve selection is dependent on several factors including desired computational speed, the area constraints of the target device and the required security level. In this thesis, custom hardware processors for the acceleration of the Tate pairing are presented and implemented on an FPGA. The underlying hardware architectures are designed with care to exploit available parallelism while ensuring resource efficiency. The characteristic 2 elliptic curve processor contains novel units that return a pairing result in a very low number of clock cycles. Despite the more complicated computational algorithm, the speed of the genus 2 processor is comparable. Pairing computation on each of these curves can be appealing in applications with various attributes. A flexible processor that can perform pairing computation on elliptic curves of characteristic 2 and 3 has also been designed. An integrated hardware/software design and verification environment has been developed. This system automates the procedures required for robust processor creation and enables the rapid provision of solutions for a wide range of cryptographic applications.

Fifth Annual Report OF THE BOARD OF DIRECTORS OF THE SOUTH CAROLINA PUBLIC SERVICE AUTHORITY TO THE ADVISORY BOARD AND Audit Report OF THE SANTEE-COOPER PROJECT July 1, 1939-June 30, 1940

The South Carolina Public Service Authority makes annual reports to the Advisory Board, reports are submitted to the General Assembly by the Governor, in which full information as to all of the Acts of said Board of Directors shall be given, together with financial statement and full information as to the work of the Authority.

Eighth Annual Report OF THE Board of Directors of the South Carolina Public Service Authority TO THE Advisory Board AND AUDIT REPORT OF THE Santee-Cooper project JULY 1, 1942-JUNE 30, 1943

The South Carolina Public Service Authority makes annual reports to the Advisory Board, which reports shall be submitted to the General Assembly by the Governor, in which full information as to all of the Acts of said Board of Directors shall be given, together with financial statement and full information as to the work of the Authority.

SANTEE - COOPER THIRTY-FIFTH ANNUAL REPORT for the fiscal year ended june 30, 1970

The South Carolina Public Service Authority makes annual reports to the Advisory Board, reports are submitted to the General Assembly by the Governor, in which full information as to all of the Acts of said Board of Directors shall be given, together with financial statement and full information as to the work of the Authority.

Santee Cooper 1981 Annual Report

The South Carolina Public Service Authority makes annual reports to the Advisory Board, reports are submitted to the General Assembly by the Governor, in which full information as to all of the Acts of said Board of Directors shall be given, together with financial statement and full information as to the work of the Authority.

SANTEE COOPER 1983 ANNUAL REPORT

Santee Cooper annually publishes a report with statistics, analysis, audit, leadership, and budget statements.

SOUTH CAROLINA SANTEE COOPER ANNUAL REPORT 1985-1986

Santee Cooper annually publishes a report with statistics, analysis, audit, leadership, and budget statements.