Bargaining over a finite set of alternatives

We analyze bilateral bargaining over a finite set of alternatives. We look for “good” ordinal solutions to such problems and show that Unanimity Compromise and Rational Compromise are the only bargaining rules that satisfy a basic set of properties. We then extend our analysis to admit problems with countably infinite alternatives. We show that, on this class, no bargaining rule choosing finite subsets of alternatives can be neutral. When rephrased in the utility framework of Nash (1950), this implies that there is no ordinal bargaining rule that is finite-valued

Morse matchings on polytopes

We show how to construct homology bases for certain CW complexes in terms of discrete Morse theory and cellular homology. We apply this technique to study certain subcomplexes of the half cube polytope studied in previous works. This involves constructing explicit complete acyclic Morse matchings on the face lattice of the half cube; this procedure may be of independent interest for other highly symmetric polytopes

Iron environment non-equivalence in both octahedral and tetrahedral sites in NiFe2O4 nanoparticles: study using Mössbauer spectroscopy with a high velocity resolution

Mössbauer spectrum of NiFe2O4 nanoparticles was measured at room temperature in 4096 channels. This spectrum was fitted using various models, consisting of different numbers of magnetic sextets from two to twelve. Non-equivalence of the 57Fe microenvironments due to various probabilities of different Ni2+ numbers surrounding the octahedral and tetrahedral sites was evaluated and at least 5 different microenvironments were shown for both sites. The fit of the Mössbauer spectrum of NiFe 2O4 nanoparticles using ten sextets showed some similarities in the histograms of relative areas of sextets and calculated probabilities of different Ni2+ numbers in local microenvironments. © 2012 American Institute of Physics

EEFECT OF NANO FILLER ADHESIVE IN SINGLE LAP JOINT BONDED STRUCTURES

This work focuses on developing new adhesive formulations based on epoxy/nanostructures carbon forms. Different types of Nano fillers were dispersed in an epoxy matrix for developing toughened epoxy paste aeronautic adhesives. The reinforced adhesives were used for bonding glass fiber/epoxy composite adherents. Data were also compared to the result obtained both for the unfilled adhesive and/or adherents. Single lap joint sample were prepared to measure mechanical strength and adhesion properties of the joint configurations to analyze the types of failure mode using Acoustic emission testing

A Study on Thenda Vaatham

AIM AND OBJECTIVES: In Siddha medicine, vaatham is considered as the most primitive cause of the disease. According to aetiology, several types of Vaatha disease are classified by our siddhars – “Yugi” has identified eighty types of vaatha disease. Thenda Vaatham is one among them which has been taken up for study in this dissertation. As vaatham is considered to be one of the eight magaa rogangal, the author has choosen a type of vaatha disease as the dissertation topic. 1. To collect and analyse the literature in siddha system. 2. To study and evaluate the highlights of pathogenesis that occurs in Thenda Vaatham. It is helpful for the clear understanding of the disease. 3. To have a plan for further studies on this disease. 4. To achieve this aim the following have been drawn. OBJECTIVES: 1. To collect literatures about Thenda Vaatham Both (Siddha and Modern). 2. To know the etiology, course of the disease Thenda Vaatham in general. 3. To study the signs and symptoms, Pathology and complication of the disease on the basis of siddha aspect. 4. To study the disease Thenda Vaatham on the basis of seven Physical constituents of the body, seasonal variations, age, sex, socio economic status, habits and family history. 5. To support the study of disease by using modern parameters. 6. To diagnose the disease Thenda vaatham by Envagai Thervugal mentioned in Siddha literatures. CONCLUSION: The disease Thenda vaatham was taken for the clinical study with reference in Yugi Vaidhya Chinthamani. The disease is correlated with Ankylosing Spondylitis in allopathic view. The clinical diagonosis was done on the basis of clinical features described in “Yugi vaidhya chinthamani – 800”. • The aetiology, pathology, pathogenesis, clinical features, classification and prognosis of the disease were collected from a number of literatures both in Siddha System as well as in modern system of medicine. • For this study twenty cases were diagnosed clinically in the out patients and inpatients ward. • The selection of cases was carried out under the supervision of professor, and Lecturers of Post Graduate Noi Naadal Department. • A case sheet proforma was prepared with particular reference to focusing Siddha and modern clinical parameters. • Separate case sheets were maintained for each patient and monitoring of vital signs, symptoms and signs and they are recorded in data. • From this study the following datas were clear, that the disease was more common in males (60%). • Maximum incidence of age was between 3rd and 5th decade. i.e in Pithakaalam (85%). The incidence of the disease was higher in summer (Muthuvenil column- 70%). • Routine blood examination, Estimation of Blood Sugar, Blood Urea, Serum Cholestral and investigation of urine, motions were also considered for diagnosis. • Siddha diagnosis was made with the help of Envagai thervugal especially with Naadi and Neikuri

Impact satisfaction factors of ecotourism for sustainable tourism business and management

In almost all real-world problems, consideration of multiple-criteria decisions requires the decision maker to make constructive decisions to obtain the desirable outcomes. A multiple-criteria decision making tool is the Analytic Hierarchy Process (AHP) which is frequently used in most applications involving decision making. Since Sabah is well known for its natural and rich resources, ecotourism has a significant potential to enhance the tourism industry. This paper aims to determine the satisfaction factors of tourists visiting Sabah and specifically in the ecotourism industry. The four-step modelling procedure for a decision model using AHP is introduced. It includes the pairwise comparison table, building of the normalised matrix, weightage determination, and finally, the consistency ratio of the overall main criteria. The ranking of the main and sub-criteria are then made so that the best main and sub-criteria related to tourist satisfaction are identified. The results showed that the top criteria preferred by tourists for eco-tourism is safety, followed by benefits, activities, services and finally destination. The most strongly preferred sub-criteria for destination is 'interest', for benefit is 'relaxing and fulfilling', for activities is 'experiencing nature and beautiful scenery', for safety is 'concerned personal Safety and security', and for service is 'on time service to tourists'. All preferred factors have met the values of inconsistency of less than 0.1 (<0.1). Findings of these impact factors towards ecotourism may enhance further adventurous and physical challenges at Sabah ecotourism hotspots by introducing, increasing and developing more adventurous activities, inclusive of notified safety and security, which needs sustainable tourism management. In conclusion, tourists are said to be very satisfied with the ecotourism industry in Sabah as indicted in their great positive responses, hence creating more tourism businesses

Rigidity and volume preserving deformation on degenerate simplices

Given a degenerate $(n+1)$-simplex in a $d$-dimensional space $M^d$ (Euclidean, spherical or hyperbolic space, and $d\geq n$), for each $k$, $1\leq k\leq n$, Radon's theorem induces a partition of the set of $k$-faces into two subsets. We prove that if the vertices of the simplex vary smoothly in $M^d$ for $d=n$, and the volumes of $k$-faces in one subset are constrained only to decrease while in the other subset only to increase, then any sufficiently small motion must preserve the volumes of all $k$-faces; and this property still holds in $M^d$ for $d\geq n+1$ if an invariant $c_{k-1}(\alpha^{k-1})$ of the degenerate simplex has the desired sign. This answers a question posed by the author, and the proof relies on an invariant $c_k(\omega)$ we discovered for any $k$-stress $\omega$ on a cell complex in $M^d$. We introduce a characteristic polynomial of the degenerate simplex by defining $f(x)=\sum_{i=0}^{n+1}(-1)^{i}c_i(\alpha^i)x^{n+1-i}$, and prove that the roots of $f(x)$ are real for the Euclidean case. Some evidence suggests the same conjecture for the hyperbolic case.Comment: 27 pages, 2 figures. To appear in Discrete & Computational Geometr

Production and characterization of antimicrobials from isolate Pantoea agglomerans of Medicago sativa plant rhizosphere soil

Due to rise in drug resistance among pathogens, there is always an urge to look for new drug alternatives. So in this study we aimed to identify the unexplored rhizosphere microflora of alfalfa plant for new antimicrobials. With initial screening for isolates from rhizosphere region for antibacterial activity against selected bacterial pathogens, the isolate AL10 had better activity selected for this study. The isolate mass was cultured and secondary metabolites were extracted using ethyl acetate and subjected to FTIR and GC-MS analysis. Based on functional diversity analysis, the isolate subjected to anti-bacterial activity revealed significant activity against Streptococcus pneumonia, Klebsiella, S. aureus with zone of inhibition in the range of18-20 mm. Based on GC-MS analysis report ten compounds were identified and 1-Octadecane and 1-nonadecanol were found to be responsible for bio-activity. FT-IR results showed that N-H stretching functional group was dominantly present in the extract. Molecular identification of the isolate by 16S rRNA sequencing showed the isolate as Pantoea agglomerans. The results showed that the isolate P.agglomerans, gram negative bacteria had wide antibacterial activity due to 1-Octadecane and 1-nonadecanol. Though Alfalfa plant has been described for various biological activities, this is a first report on rhizosphere region of plant reporting for antibacterial potential microbes

Reconstructing a Simple Polytope from its Graph

Blind and Mani (1987) proved that the entire combinatorial structure (the vertex-facet incidences) of a simple convex polytope is determined by its abstract graph. Their proof is not constructive. Kalai (1988) found a short, elegant, and algorithmic proof of that result. However, his algorithm has always exponential running time. We show that the problem to reconstruct the vertex-facet incidences of a simple polytope P from its graph can be formulated as a combinatorial optimization problem that is strongly dual to the problem of finding an abstract objective function on P (i.e., a shelling order of the facets of the dual polytope of P). Thereby, we derive polynomial certificates for both the vertex-facet incidences as well as for the abstract objective functions in terms of the graph of P. The paper is a variation on joint work with Michael Joswig and Friederike Koerner (2001).Comment: 14 page

Affine and toric hyperplane arrangements

We extend the Billera-Ehrenborg-Readdy map between the intersection lattice and face lattice of a central hyperplane arrangement to affine and toric hyperplane arrangements. For arrangements on the torus, we also generalize Zaslavsky's fundamental results on the number of regions.Comment: 32 pages, 4 figure