scholarly journals A complete solution classification and unified algorithmic treatment for the one- and two-step asymmetric S-transverse mass M ˜ T 2 $$ {\tilde{M}}_{\mathrm{T}2} $$ event scale statistic

2014 ◽  
Vol 2014 (8) ◽  
Author(s):  
Joel W. Walker
Keyword(s):  
Complete Solution ◽  
Transverse Mass ◽  
Event Scale ◽  
Algorithmic Treatment ◽  
The One ◽  
Solution Classification

Integrable Boundary Conditions Associated with the Zn × Zn Belavin Model and Solutions of Reflection Equation

1997 ◽  
Vol 12 (16) ◽  
pp. 2809-2823 ◽  
Author(s):  
Heng Fan ◽  
Kang-Jie Shi ◽  
Bo-Yu Hou ◽  
Zhong-Xia Yang
Keyword(s):  
Boundary Conditions ◽  
Complete Solution ◽  
Vertex Model ◽  
Solvable Models ◽  
R Matrix ◽  
Reflection Equation ◽  
Reflection Matrix ◽  
The One ◽  
Integrable Boundary Conditions

We construct solvable models with nontrivial boundary from the well known Belavin R-matrix. The reflection equation for the boundary reflection matrix is studied and the complete solution for the one associated with the eight-vertex model is found.

scholarly journals IX. Combinatorial analysis. The foundations of a new theory

1900 ◽  
Vol 194 (252-261) ◽  
pp. 361-386 ◽  
Keyword(s):  
General Problem ◽  
Complete Solution ◽  
Latin Square ◽  
The Other ◽  
Combinatorial Analysis ◽  
Great Problem ◽  
Cambridge Philosophical Society ◽  
New Instrument ◽  
Similar Character ◽  
The One

In the ‘Transactions of the Cambridge Philosophical Society’ (vol. 16, Part IV., p. 262), I brought forward a new instrument of research in Combinatorial Analysis, and applied it to the complete solution of the great problem of the “Latin Square,” which had proved a stumbling block to mathematicians since the time of Euler. The method was equally successful in dealing with a general problem of which the Latin Square was but a particular case, and also with many other questions of a similar character. I propose now to submit the method to a close examination, to attempt to establish it firmly, and to ascertain the nature of the questions to which it may be successfully applied. We shall find that it is not merely an enumerating instrument but a powerful reciprocating instrument, from which a host of theorems of algebraical reciprocity can be obtained with facility. We will suppose that combinations defined by certain laws of combination have to be enumerated; the method consists in designing, on the one hand, an operation and, on the other hand, a function in such manner that when the operation is performed upon the function a number results which enumerates the combinations. If this can be carried out we, in general, obtain far more than a single enumeration; we arrive at the point of actually representing graphically all the combinations under enumeration, and solve by the way many other problems which may be regarded as leading up to the problem under consideration. In the case of the Latin Square it was necessary to design the operation and the function the combination of which was competent to yield the solution of the problem. It is a much easier process, and from my present standpoint more scientific, to start by designing the operation and the function, and then to ascertain the questions which the combination is able to deal with.

scholarly journals ZNACZENIE SAMORZĄDÓW W OCHRONIE ZABYTKÓW. PROPOZYCJE ZMIAN

2016 ◽  
pp. 71-76
Author(s):  
Małgorzata Gwiazdowska
Keyword(s):  
Local Government ◽  
Historic Preservation ◽  
State Government ◽  
Complete Solution ◽  
Regional Scale ◽  
Legal Regulations ◽  
Administration System ◽  
Legal Situation ◽  
Government Body ◽  
The One

Changes made to the administration system in Poland in the years 1989–1990 were aimed at decentralising state government and increasing the importance of local government bodies. The author of this article reckons that this idea has not been reflected in the Polish body of law yet. There are no legal regulations provided in the provisions of law – not only in terms of the legal situation of historic preservation offices but also with regard to deciding what should fall under the authority of local government bodies. Scope of duties of local government historic preservation officers working in separate offices should be similar to the one that individual departments have. Moreover, authority should no longer be granted on discretionary basis. A principle should be therefore formulated that everything what comes within the competence of historic preservation officers must comply with statutory legislation. If a local government body wants to be delegated either full or partial authority, it should prove that it has both organisational and financial capacity to exercise it. We should therefore work towards a complete solution which would be practical and possible to adopt on both state and regional scale.

scholarly journals Effects of carboxymethyl cellulose extracted from oil palm empty fruit bunch stalk fibres on the physical properties of low-fat ice cream

Food Research ◽  
2021 ◽  
Vol 5 (S1) ◽  
pp. 1-7
Author(s):  
D.M. Parid ◽  
A.S. Baharuddin ◽  
R. Kadir Basha ◽  
M.A. P. Mohammed ◽  
A. Mat Johari ◽  
...  
Keyword(s):  
Oil Palm ◽  
Carboxymethyl Cellulose ◽  
Complete Solution ◽  
Control Sample ◽  
Value Added ◽  
Ice Cream ◽  
Empty Fruit Bunch ◽  
Low Fat ◽  
A Value ◽  
The One

Carboxymethyl cellulose (CMC) is a food additive that plays an important role in the structure-forming of most food. The current extraction of CMC from wood has created competition with the wood industries. To ensure the sustainability of CMC, the search for alternatives to wood is critical. A study on the extraction of CMC from oil palm empty fruit bunch (OPEFB) stalk fibres (SCMC) was successfully carried out previously by the authors. In this study, the potential application of SCMC on low-fat ice cream properties was investigated. Liquid ice cream mix with SCMC had a higher viscosity (129.4 cP) when compared to the control sample (25.5 cP). However, the viscosity of liquid ice cream mix produced using SCMC was slightly lower than the one produced using the commercial CMC (360 cP). The overrun of the SCMC low-fat ice cream was slightly lower (35.2%) than the one produced using commercial CMC (41.5%). The resistance of SCMC and commercial CMC low-fat ice creams towards melting were about the same (60.28% and 58.75% respectively). The commercial CMC produced slightly harder (38.19 N) ice cream than the one with SCMC (28.88 N). Thus, the low-fat ice cream produced using SCMC is comparable with the low-fat ice cream produced using commercial CMC. This indicates the reliability of the extracted CMC from OPEFB stalk fibres to be applied in food, and thus creates a complete solution for the utilization of palm oil mill by-product to produce a value-added product.

scholarly journals Building High-Resolution Sky Images Using the Cell/B.E.

2009 ◽  
Vol 17 (1-2) ◽  
pp. 113-134 ◽  
Author(s):  
Ana Lucia Varbanescu ◽  
Alexander S. van Amesfoort ◽  
Tim Cornwell ◽  
Ger van Diepen ◽  
Rob van Nieuwpoort ◽  
...  
Keyword(s):  
High Performance ◽  
Complete Solution ◽  
Performance Potential ◽  
Data Intensive ◽  
Irregular Data ◽  
Original Application ◽  
The One ◽  
High Level ◽  
Data Intensive Applications ◽  
Application Specific

The performance potential of the Cell/B.E., as well as its availability, have attracted a lot of attention from various high-performance computing (HPC) fields. While computation intensive kernels proved to be exceptionally well suited for running on the Cell, irregular data-intensive applications are usually considered as poor matches. In this paper, we present our complete solution for enabling such a data-intensive application to run efficiently on the Cell/B.E. processor. Specifically, we target radioastronomy data gridding and degridding, two resembling imaging filters based on convolutional resampling. Our solution is based on building a high-level application model, used to evaluate parallelization alternatives. Next, we choose the one with the best performance potential, and we gradually exploit this potential by applying platform-specific and application-specific optimizations. After several iterations, our target application shows a speed-up factor between 10 and 20 on a dual-Cell blade when compared with the original application running on a commodity machine. Given these results, and based on our empirical observations, we are able to pinpoint a set of ten guidelines for parallelizing similar applications on the Cell/B.E. Finally, we conclude the Cell/B.E. can provide high performance for data-intensive applications at the price of increased programming efforts and with a significant aid from aggressive application-specific optimizations.

scholarly journals A Forgotten Differential Equation Studied by Jacopo Riccati Revisited in Terms of Lie Symmetries

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1312
Author(s):  
Daniele Ritelli
Keyword(s):  
Differential Equation ◽  
Closed Form ◽  
Hypergeometric Functions ◽  
Solution Method ◽  
Complete Solution ◽  
Lie Symmetries ◽  
Parameter Family ◽  
Original Solution ◽  
The One ◽  
Two Parameter

In this paper we present a two parameter family of differential equations treated by Jacopo Riccati, which does not appear in any modern repertoires and we extend the original solution method to a four parameter family of equations, translating the Riccati approach in terms of Lie symmetries. To get the complete solution, hypergeometric functions come into play, which, of course, were unknown in Riccati’s time. Re-discovering the method introduced by Riccati, called by himself dimidiata separazione (splitted separation), we arrive at the closed form integration of a differential equation, more general to the one treated in Riccati’s contribution, and which also does not appear in the known repertoires.

A microsphere-based remodelling formulation for anisotropic biological tissues

2009 ◽  
Vol 367 (1902) ◽  
pp. 3499-3523 ◽  
Author(s):  
Andreas Menzel ◽  
Tobias Waffenschmidt
Keyword(s):  
Evolution Equations ◽  
Three Dimensional ◽  
Biological Tissues ◽  
Internal Variables ◽  
Chain Model ◽  
Chain Molecules ◽  
Numerical Studies ◽  
Algorithmic Treatment ◽  
The One ◽  
Unit Vectors

Biological tissues possess the ability to adapt according to the respective local loading conditions, which results in growth and remodelling phenomena. The main goal of this work is the development of a new remodelling approach that, on the one hand, reflects the alignment of fibrous soft biological tissue with respect to representative loading directions. On the other hand, the continuum approach proposed is based on a sound micro-mechanically motivated formulation. To be specific, use of a worm-like chain model is made to describe the behaviour of long-chain molecules as present in, for instance, collageneous tissues. The extension of such a one-dimensional constitutive equation to the three-dimensional macroscopic level is performed by means of a microsphere formulation. Inherent with the algorithmic treatment of this type of modelling approach, a finite number of unit vectors is considered for the numerical integration over the domain of the unit sphere. As a key aspect of this contribution, remodelling is incorporated by setting up evolution equations for the referential orientations of these integration directions. Accordingly, the unit vectors considered now allow interpretation as internal variables, which characterize the material’s anisotropic properties. Several numerical studies underline the applicability of the model that, moreover, nicely fits into iterative finite element formulations so that general boundary value problems can be solved.

scholarly journals Complete solution of the one-dimensional Hubbard model

1991 ◽  
Vol 67 (27) ◽  
pp. 3848-3851 ◽  
Author(s):  
Fabian H. L. Essler ◽  
Vladimir E. Korepin ◽  
Kareljan Schoutens
Keyword(s):  
Hubbard Model ◽  
Complete Solution ◽  
One Dimensional ◽  
The One
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