Vector-exponential time-series modeling for polynomial J-spectral factorization

An iterative algorithm to perform the J-spectral factorization of a para-Hermitian matrix is presented. The algorithm proceeds by computing a special kernel representation of an interpolant for a sequence of points and associated directions determined from the spectral zeroes of the to-be factored matrix

A behavioral view of Nevanlinna-Pick interpolation

The classical Nevanlinna-Pick (NP) interpolation problem is about finding a rational function that satisfies given interpolation conditions, along with a norm condition. In this paper we address the NP problem using concepts from behavioral systems theory and quadratic differential forms (QDFs). The NP problem is solved using a certain “dualization of data”. We address system theoretic motivations for this dualization and the advantages gained in this process. Finally, we address the problem of constructing interpolating functions that satisfy a “frequency dependent” norm condition

Interpolation with bilinear differential forms

We present a recursive algorithm for modeling with bilinear differential forms. We discuss applications of this algorithm for interpolation with symmetric bivariate polynomials, and for computing storage functions for autonomous systems

Hybrid Approaches for Classification Under Information Acquisition Cost Constraint

The practical use of classification systems may be limited because the current classification systems do not allow decision makers to incorporate cost constraint. For example, in several financial applications (loan approval, credit scoring, etc.) an applicant is asked to submit a processing fee with the application (Mookerjee and Mannino 1997). The processing fee may be used to validate the information entered in the application. From an economic standpoint, it is important that the cost of validating the information not exceed the processing fee. Traditional classification systems do not allow the decision maker to incorporate information acquisition cost constraint. We term the problem of designing a classification system, where information acquisition costs are considered,astheproblemofclassificationwithinformationacquisitioncostconstraint(CIACC). TheCIACCproblemisaNP hard problem and is very difficult to solve to optimality

Central sequences and C*-algebras

We study central sequences of C*-algebras. We find connections of the central sequences of a C*-algebra and its representations. More specifically, we prove the following results: (a) Characterization of central sequences in certain C*-subalgebras of C(X, Mn), where X is a compact Hausdorff space. We also state the conditions under which central sequences are trivial/hypercentral. (b) A representation of the C*-algebra is in the point norm closure of the set of all equivalence classes of irreducible representation if and only if it is multiplicity free. (c) For a C*-algebra A, all of whose representations are bounded by some fixed number, the following are equivalent: (1) A is a continuous trace C*-algebra. (2) Every central sequence in A is trivial. (3) Irr(A, Mn) is point norm closed in Rep(A, Mn). (4) A can be written as a finite direct sum of C*-algebras of the form C( X, Mn, ∼, beta) where ∼ is an equivalence relation on X and beta:∼→ Un. Un is the set of n x n unitary matrices

Comprehensive review on tooth avulsion and its management

Background: Of all the dental trauma injuries, avulsion is a serious problem and the prognosis of treatment depends mainly on the measures taken at the time of injury. Appropriate management of avulse tooth is necessary. Guidelines are important for providing best possible treatment for avulsion. Permanent anterior teeth avulsion occurs rarely and usually affects children about 7–8 years of age. On reimplantation or splinting of these teeth, inflammation, severe resorption, or ankylosis are seen which ultimately affect alveolar bone development and these reimplanted teeth sooner or later have to be extracted. Aim: This review aims to educate people as to what precautions to be taken for avulsed tooth and the line of treatment. Conclusion: There have been numerous researches done and number of guidelines laid down for the management of avulsed tooth. This review article has compiled all the treatment modalities and will help to identify the best treatment modality to be chosen for the treatment of avulsed tooth. Clinical Significance: By considering the evidence-based treatment modalities, the prognosis of treatment of avulsion can be enhanced. Incidence of inflammation, ankylosis, resorption, and tooth loss could be reduced

A Bayesian-Decision Analysis Framework for the Financial Evaluation of Automatic Incident Detection Devices

We propose a Bayesian decision analysis framework for the evaluation of automatic incident detection (AID) tools in intelligent transportation systems. The proposed framework can be used by decision makers for financial analysis of AID devices, identify appropriate AID device locations and develop an AID device replacement schedule

Comprehensive review on alveolar osteitis

Background: Dry socket also termed as alveolar osteitis is a post-extraction complication encountered more frequently. The socket exhibits exposed bone and lacks blood clot. The patient with dry socket complains of severe pain after 24–72 h of extraction. Various risk factors such as smoking, surgical trauma, age, sex, medical condition, and radiotherapy are involved in the pathogenesis of dry socket. Primary aim of treatment includes relief of pain. Aim: The aim of the study was to review the occurrence of post-extraction dry socket, its etiopathogenesis, predisposing factors, preventive method, and treatment options for dry socket. Conclusion: Dry socket is the common complication encountered after the extraction of 3rd molars and causes severe pain. With the known risk factors, preventive measures the occurrence of dry socket can be avoided. Treatment includes palliative care such as irrigation, debridement, curettage, and packing the socket with eugenol to relief pain. New agents such as plasma rich in growth factors and GECB can also be used. Clinical Significance: In the routine daily scenario, dry socket can be encountered in any surgical or non-surgical extraction cases. To avoid the occurrence of dry socket, proper knowledge about its cause, the clinical symptoms of dry socket, preventive measures, and the precautionary steps to be taken should be known. One must also be aware of the treatment to be done when the patient comes up with dry socket