Double Matrix Research Articles

CALCULATION OF DOUBLE BETA DECAY MATRIX ELEMENTS : A STATUS REPORT

The current status of efforts to calculate double beta decay matrix elements is summarized. Particular focus is put on the two most popular theoretical approaches in use for such calculations, the nuclear shell model and the proton-neutron Quasi Particle Random Phase Approximation. Some brief comments regarding double beta decay to excited states are also made.

The ‘double matrix’ business process model and a framework model for analysis and design of logistic systems

Based on a contigency-inspired framework model for approaching the relations between product, internal cooperation and inter-organizational relations, the paper describes the development of a new organizational and process structure in the case company. A project that originally was seen as a clarification of aspects regarding supplier relations also became a major organizational development project. The paper applies an idea of ‘tripartitioning’ of the business processes to approach the product development process for industrial projects, and it draws attention to some important differences between this process and traditional development processes.

A matrix integral solution to [P, Q]=P and matrix laplace transforms

In this paper we solve the following problems: (i) find two differential operatorsP andQ satisfying [P, Q]=P, whereP flows according to the KP hierarchy ϖP/ϖt n =[(P n/p )+,P], withp:=ordP≥2; (ii) find a matrix a integral representation for the associated τ-function. First we construct an infinite dimensional spaceW= spanℂ{ψ 0(z,ψ 1(z,...)} of functions ofzεℂ invariant under the action of two operators, multiplication byz p andA c :=zϖ/ϖz−z+c. This requirement is satisfied, for arbitraryp, ifψ 0 is a certain function generalizing the classical Hänkel function (forp=2); our representation of the generalized Hänkel function as adouble Laplace transform of a simple function, which was unknown even for thep=2 case, enables us to represent the τ-function associated with the KP time evolution of the spaceW as a “double matrix Laplace transform” in two different ways. One representation involves an integration over the space of matrices whose spectrum belongs to a wedge-shaped contourγ≔γ -+γ - ⊂ℂ defined byγ ± = ℝ+e±πi/p. The new integrals above relate to matrix Laplace transforms, in contrast with matrix Fourier transforms, which generalize the Kontsevich integrals and solve the operator equation [P, Q]=1.

The QRPA study of neutrinoless double beta decay with and without proton-neutron pairing

We have examined the role of proton-neutron pairing on the Quasiparticle Random Phase Approximation (QRPA) by calculating neutrinoless double beta decay matrix elements using the recently proposed full-QRPA, which includes proton-neutron pairing. With this full-QRPA we have performed calculations on the neutrinoless double beta decay matrix elements of the experimentally interesting nuclei A=48, 76, 82, 96, 100, 116, 128, 130 and 136. Using the best presently available experimental limits on the half-time of neutrinoless double beta decay we have extracted new limits on the lepton number violating parameters. We have found that the inclusion of proton-neutron pairing makes the limits on the lepton number non-conserving parameters less stringent.

Nitramine Double Base Propellants

This review paper broadly covers the studies conducted on nitramine double base (DB) propellants, particularly in the field of formulations, evaluation, catalysis and combustion mechanism . Addition of RDX and HMX in double base matrix shows relatively low burn rates and high paper index values. Further, the burn rate of this class of propellants enhances in the presence of energetic binders/plasticisers like glycidyl azide polymer. This paper also discusses the combustion mechanism of HMX/RDX-based DB propellants, especially in the presence of catalytic salts. As scanty data is available on extruded nitramine DB propellants, further work is needed in the field of formulation as well as evaluation with a view to generate exhaustive data.

Disposable ion-selective electrodes

In this paper we describe a low-cost ion-selective electrode in double matrix membrance technology. This sensor is prepared from filter paper with an evaporated silver conducting line on one side. For insulation the sensor is laminated with a preperforated heat-sealing film. A coated film sensor in double matrix membrane technology is produced by filling one hole with a defined volume of an ion-selective polymer matrix membrane cocktail. The double matrix membrane (DMM) is formed by the polymer matrix membrane and the additional microfibre matrix (MFM) of the filter paper. Such sensors can be produced in a batch process. Therefore mass-production of low-cost sensors is possible. The response behaviour of the low-cost ion-selective electrode is comparable to that of conventional macro ion-selective electrodes.

Potentiometric biosensor in double matrix membrane technology

A throw-away urea sensor is described. A pH-sensitive disposable sensor constructed using double matrix membrane technology was used as a transducer. Double matrix membrane technology describes a process where an ion-sensitive polymer matrix membrane is formed in the presence of an additional inert matrix for to improve the reproducibility of sensor production. In this case one-side silver-coated filter paper was used as the inert matrix which was encapsulated by a heat sealing film. A pH-sensitive membrane was casted into this filter paper and on the surface of this membrane a urease containing layer was deposited. The sensor responded to between 10 −2 mol/l and 10 −4 mol/l urea, the response slope was 32·7 mV/decade. The concentration range in which the sensor responds is important for clinical analysis. The main advantages of this pH-based urea electrode include miniature size as well as simple and low cost fabrication in a batch process.

Disposable sodium electrodes

In this paper we describe a disposable sodium sensor in double matrix membrane technology. This sensor is prepared from filter paper with an evaporated silver conducting line on one side. For insulation the sensor is laminated with a pre-perforated heat-sealing film. A defined volume of an ion-sensitive polymer matrix membrane cocktail is filled into one hole. So an ion-sensitive coated film sensor in double matrix membrane technology is produced. The double matrix membrane is formed by the polymer matrix membrane and by the additional filter paper matrix. The response behaviour of the sodium electrode is comparable with conventional macro ion-selective electrodes. By this technology a mass production of low cost sensors is possible.

Double matrix membranes for potentiometric cation selective disposable sensors

The construction of double matrix membranes (DMM) for disposable NH4+, Na+ and pH sensors is described. The usual polymer matrix membrane was incorporated in an inert micro fibre matrix (MFM). Capillary forces distribute the cocktail homogeneously in the MFM; this also determines the thickness. Sensors using the new DMM have shown selectivity, detection limits and slope comparable with polymer matrix membranes. The advantages of DMMs are their mechanical stability, the feasibility of low cost mass production with identical parameters and improved handling.

A unified approach to acoustical reflection imaging. II: The inverse problem

Using the forward matrix model, as derived in part I [A. J. Berkhout, J. Acoust. Soc. Am. 93, xxx(1993)], it is shown that the first and main part of numerical acoustic imaging consists of a wave field extrapolation process by double matrix inversion. Physically, the wave field extrapolation process means that the downward propagation effects and the upward propagation effects are eliminated from the measurements. Next, the reflection information is extracted from the wave field extrapolation result. Optionally, the reflection information is translated to discipline-oriented material parameters by some data fitting process. Double focusing, i.e., focusing in emission and focusing in detection, is closely related to the above numerical imaging process. Finally, it is shown that imaging of zero-offset or puls-echo data can be formulated by single matrix inversion, involving phase shifts only.

Duality transformation of Ising model coupling with a Z 2 gauge field on a random lattice

We carry out the duality transformation and find that the spin fields are decoupling with the gauge fields. Therefore, the model is exactly solvable by use of the double matrix representation.

54. 上腹部 MRI 検査におけるモーションアーチファクトの解析 : 第 5 報ゴーストの位置制御におけるダブルマトリクスの有用性(MR-1 アーチファクト)

54. 上腹部 MRI 検査におけるモーションアーチファクトの解析 : 第 5 報ゴーストの位置制御におけるダブルマトリクスの有用性(MR-1 アーチファクト)

Efficient method for computing double matrix products

We introduce an efficient method for computing matrix products of the formY=AXB, whereA andB are sparse and constant. We analyze the complexity of the method, develop quantitative criteria for determining when it can be used effectively, and demonstrate its use in a Kalman filter.

54. 上腹部 MR 検査におけるモーションアーチファクトの解析 : 第 5 報ゴーストの位置制御におけるダブルマトリクスの有用性(第 19 回秋季学術大会一般研究発表予稿)

54. 上腹部 MR 検査におけるモーションアーチファクトの解析 : 第 5 報ゴーストの位置制御におけるダブルマトリクスの有用性(第 19 回秋季学術大会一般研究発表予稿)

A perturbation method for the solution of the Kramers equation for a particle moving under an alternating force ? application to the theory of dielectric and Kerr effect relaxation

A perturbation method for the solution of the Kramers Eq. for a particle moving in a cosine potential where the amplitude of the potential is a cissoidal function of time is described. The solution is effected by expanding the distribution function in the usual Fourier-Hermite series yielding a set of ordinary differential-difference Eqs. giving the exact time dependence of the ensemble averages. These Eqs. are a double matrix set inn the order of the Hermite functions andp the order of the circular functions. The perturbation is applied by expanding the solution set in powers of the small parameter, amplitude of the potential/kT. This allows one to systematically uncouple then and thep dependencies in the original set, thus that set may be solved to any order inn by limiting the size of then matrix.

Assessment of the contact pressure on a fiber in the densification of a fiber composite material with a double matrix

Assessment of the contact pressure on a fiber in the densification of a fiber composite material with a double matrix

Coupling, subduction and induction transformations for group representations

The basis of a representation space of any group may be chosen according to its decomposition into representations of the group and a subgroup chain. Coupling, recoupling, subduction and resubduction factors are each shown to arise as a result of Schur's lemmas and a particular group-subgroup structure. When induction and Mackey's subgroup theorem are considered new transformation factors occur, those of induction and reinduction. Key properties of these factors are given, together with their relationship with double coset matrix elements.

An Examination of Learning Proficiency Differences in Low and Middle Ses Children

The results of research investigating differences in matrix completion abilities between low-SES and middle-SES children have been inconsistent. This study provided a framework in which several unresolved issues could be examined. Item type, order of presentation, training modes, and developmental level were varied in two SES groups in an attempt to clarify previous research findings. The subjects were 288 individually tested children. SES level was determined by the Hollingshead and Redlich (1958) scale while developmental level was represented by first, third, and fifth grade levels. Training consisted of maximal prompt, correctness-of-response feedback, and a no-training-control condition. Subject responded to double classification and enclosure matrix completion item types until a criterion performance was obtained, and were then shown 11 transfer items of each type. The results revealed significant SES, grade, and training main effects. Generally, middle-SES and older subjects were able to learn more efficiently and transfer more effectively than their counterparts. SES and training interacted with item type and order of presentation which indicated differential facilitative effects across SES levels. A major finding was the absence of a significant SES X grade interaction. This result supports a developmental lag as opposed to Level I Level II interpretation.

Preparation of a microporous composite: Encapsulation of paper by polyethylene

A rapid polymerization method for in situ synthesis of polyethylene in a typical paper matrix of cellulose fibers is described. The unique properties of this double matrix, polyethylene in cellulose, are the result of performing the polymerization in a nonsolvent such that simultaneous polymerization and crystallization takes place yielding a nascent morphology. The morphology has been studied by scanning electron microscopy and was found to be different from what is usually obtained for melt crystallized polyolefins. Optical microscopy shows the polyethylene to be present as a complementary matrix with respect to the basic fiber construct. Mechanical, optical, and other properties of encapsulated filter paper have been measured using standard TAPPI tests. The results show a general improvement in physical properties for a range of “add ons” from 0 to 27%. Wet-strength and opacity undergo major changes.

Determination of the Electrical Radius ka of a Circular Cylindrical Scatterer from the Scattered Field

The inverse problem of scattering for a circular cylindrical scattering geometry is considered. The transverse far field components are related to the Fourier coefficients of the circular cylindrical wave expansion in terms of the scattered field matrix. The associated determinant which describes the scattering geometry is formulated in closed form. To achieve nonsingular matrix inversion, a novel, determinate optimization procedure for the measurement aspect angles is derived and proved. Measurement techniques or experimental results are not presented. Yet, it is shown analytically that the unknown expansion coefficients can be recovered with standard double precision matrix inversion techniques to the degree of accuracy dictated only by any suitable measurement technique. Assuming the required set of expansion coefficients {an}TM and/or {bn}TE is found, it is shown that the electrical radius ka of the scatterer can be determined from four contiguous expansion coefficients in the TM as well as the mixed TM–TE cases. Only the TE case is an exception for which a more elaborate formulation exists. The relationships between contiguous expansion coefficients of both electric and magnetic type are relevant to the general cylindrical inverse problem, since the electrical radius can be directly recovered from the scattered field data. Furthermore, the scattered field can be uniquely expressed in terms of only one set of expansion coefficients associated with either the electric or magnetic vector wave functions.