Spherical Harmonics in p Dimensions

Efthimiou, Costas; Frye, Christopher

doi:10.1142/9134

Cited by 46 publications

(50 citation statements)

References 5 publications

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“…11 Disease modifying ant rheumatic drugs (DMARDs), such as methotrexate (MTX), azathioprine, cyclosporine, and cyclophosphamide, are often used for maintenance therapy of the disease. 8,11 Our patient responded well after addition of corticosteroid 13 .…”

Section: Laboratory Evaluationmentioning

confidence: 75%

“…6 The serum ferritin level has been suggested as a predictive marker for AOSD as it is invariably elevated and often higher than levels found in other autoimmune or inflammatory diseases, with a five-fold increase in serum ferritin being 41% specific and 80% sensitive as a diagnostic test. 15 The markedly high ferritin level in AOSD has been attributed to hyper-production by the reticuloendothelial system or hepatocyte damage, 6,10,13 and is unrelated to iron metabolism. 18 The patient's blood results illustrated a microcytic anemia, although the iron studies point towards an inflammatory reaction.…”

Section: Case Reportmentioning

confidence: 99%

“…12 Serum ferritin levels are typically increased during disease flares and this finding is useful for diagnosis and monitoring of AOSD . 8,10,13,15 Elevated ferritin level is a nonspecific but common finding 8…”

Section: Case Reportmentioning

confidence: 99%

“…2,8 Our patient had high fever, productive cough Leukocytosis, progressively rising erythrocytes sedimentation rate, hepatomegaly and increased ferritin level confirm the diagnosis of AOSD. 8,10,13,15 The clinical course of AOSD is heterogeneous, with patients falling into one of three clinical patterns. 2,4,8,11,15 (1)Monocyclic or self-limiting pattern, which has a single episode of systemic disease of variable duration followed by complete remission.…”

Section: Laboratory Evaluationmentioning

confidence: 99%

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Chronic Fever with Severe Weakness - A Case Report

Akther

Jesmin

2017

J Dhaka Med Coll

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Adult onset Stills disease (AOSD) is a rare systemic inflammatory disease of unknown etiology and pathogenesis that presents in 5 to 10% of patients as fever of unknown origin (FUO) accompanied by systemic manifestations. We report an interesting case of a 63-year-old Bangladeshi male who presented with one-month duration of FUO along with, severe weakness, oral thrush, high WBC count, low RBC count and low hemoglobin concentration. After extensive workup, potential differential diagnoses were ruled out and the patient was diagnosed with AOSD based on the Yamaguchi criteria. The case history, incidence, pathogenesis, clinical manifestations, differential diagnoses, diagnostic workup, treatment modalities, and prognosis of AOSD are discussed in this case report.J Dhaka Medical College, Vol. 25, No.2, October, 2016, Page 142-147

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Section: Laboratory Evaluationmentioning

confidence: 75%

Section: Case Reportmentioning

confidence: 99%

Section: Case Reportmentioning

confidence: 99%

Section: Laboratory Evaluationmentioning

confidence: 99%

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Chronic Fever with Severe Weakness - A Case Report

Akther

Jesmin

2017

J Dhaka Med Coll

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“…Before determining the spectrum of Λ 0,r − Λ 1 needed in proving our main result, we briefly review a few facts about spherical harmonics; see, e.g., [9,15,19] for additional details. Denoting R d \ {0} x = ηθ with η = |x| and θ = x |x| ∈ ∂B, it is well known that the Laplace operator can be written in polar coordinates (cf.…”

Section: Application To Electrical Impedance Tomographymentioning

confidence: 99%

Optimal Depth-Dependent Distinguishability Bounds for Electrical Impedance Tomography in Arbitrary Dimension

Garde¹,

Hyvönen²

2020

SIAM J. Appl. Math.

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The inverse problem of electrical impedance tomography is severely ill-posed. In particular, the resolution of images produced by impedance tomography deteriorates as the distance from the measurement boundary increases. Such depth dependence can be quantified by the concept of distinguishability of inclusions. This paper considers the distinguishability of perfectly conducting ball inclusions inside a unit ball domain, extending and improving known two-dimensional results to an arbitrary dimension d ≥ 2 with the help of Kelvin transformations. The obtained depth-dependent distinguishability bounds are also proven to be optimal.1.1. Notational remarks. We denote by L (X, Y ) the space of bounded linear operators between Banach spaces X and Y , and introduce the shorthand notation L (X) := L (X, X).

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Noise‐Tailored Constructions for Spin Wigner Function Kernels

Hanks,

Lee,

Kim

2024

Advanced Physics Research

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The effective use of noisy intermediate‐scale quantum devices requires error mitigation to improve the accuracy of sampled measurement distributions. The more accurately the effects of noise on these distributions can be modeled, the more closely error mitigation will be able to approach theoretical bounds. The characterization of noisy quantum channels and the inference of their effects on general observables are challenging problems, but in many cases a change in representation can greatly simplify the analysis. Here, spin Wigner functions for multiqudit systems are investigated. This study generalizes previous kernel constructions, capturing the effects of several probabilistic unitary noise models in few parameters.

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Spherical Harmonics in p Dimensions

Cited by 46 publications

References 5 publications

Chronic Fever with Severe Weakness - A Case Report

Chronic Fever with Severe Weakness - A Case Report

Optimal Depth-Dependent Distinguishability Bounds for Electrical Impedance Tomography in Arbitrary Dimension

Noise‐Tailored Constructions for Spin Wigner Function Kernels

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