Recovering a Function from Its Spherical Mean Values in Two and Three Dimensions

2009 ◽  
pp. 77-87 ◽  
Author(s):  
David Finch
Keyword(s):  
Three Dimensions ◽  
Mean Values ◽  
Spherical Mean

scholarly journals Regularity of mean-values

1988 ◽  
Vol 45 (1) ◽  
pp. 117-126
Author(s):  
Christopher Meaney
Keyword(s):  
Euclidean Space ◽  
Mean Value ◽  
Dimensional Sphere ◽  
Mean Values ◽  
Regular Elements ◽  
Integrable Functions ◽  
Spherical Mean ◽  
Group Of Isometries ◽  
Simply Connected ◽  
Connected Lie Group

AbstractLetXbe either thed-dimensional sphere or a compact, simply connected, simple, connected Lie group. We define a mean-value operator analogous to the spherical mean-value operator acting on integrable functions on Euclidean space. The value of this operator will be written as ℳf(x, a), wherex∈Xandavaries over a torusAin the group of isometries ofX. For each of these cases there is an intervalpO<p≦ 2, where thep0depends on the geometry ofX, such that iffis inLp(X) then there is a set full measure inXand ifxlies in this set, the function a ↦ℳf(x, a) has some Hölder continuity on compact subsets of the regular elements ofA.

scholarly journals Satisfação com os Cuidados Anestésicos num Hospital Central

2014 ◽  
Vol 27 (1) ◽  
pp. 33 ◽  
Author(s):  
Ana Catarina Moura ◽  
Maria Amélia Ferreira ◽  
Joselina Barbosa ◽  
Joana Mourão
Keyword(s):  
Elective Surgery ◽  
Quality Criteria ◽  
Three Dimensions ◽  
Mean Values ◽  
Global Satisfaction ◽  
Assess Patient Satisfaction ◽  
High Satisfaction ◽  
The Mean ◽  
Psychometric Quality

<strong>Introduction:</strong> The satisfaction level with health care reflects the quality of care from the patient’s perspective. The aim of this study is to assess patient satisfaction with anesthesia care in a Portuguese general hospital by using the “The Heidelberg Peri-anaesthetic Questionnaire”.<br /><strong>Material and Methods:</strong> The questionnaire was translated and tested based on psychometric quality criteria in a sample of 107 patients who underwent elective surgery as inpatients at Hospital de São João. The global satisfaction and for each dimension of care were calculated. We analyzed the differences between patients with different levels of satisfaction, identifying potential confounding factors.<br /><strong>Results:</strong> The Portuguese version of the questionnaire has 32 items distributed in three dimensions: ‘staff’, ‘discomfort’ and ‘fear’. The mean values of satisfaction for each dimension were 83.4%, 66.8% and 65.9%, respectively. The internal consistence was demonstrated by a Cronbach’s alpha coefficient ranging from 0.776 to 0.875 in the three dimensions. Satisfied and dissatisfied patients differed in the three dimensions, but to a lesser degree in ‘staff’. In the multivariate analysis we found significant influence of gender in the ‘discomfort’ dimension.<br /><strong>Discussion: </strong>The questionnaire has good psychometric characteristics. The domain ‘staff’ includes three domains of the source questionnaire.<br /><strong>Conclusions:</strong> Its application revealed high satisfaction levels regarding the staff. Dissatisfaction was mainly seen in the “fear” and “discomfort” dimensions, the latter being significantly lower in males.

Characterization P-Ca3Co4O9 and N-CaMnO3

2013 ◽  
Vol 802 ◽  
pp. 209-212
Author(s):  
Supasit Paengson ◽  
Tosawat Seetawan ◽  
Pennapa Muthitamongkol ◽  
Chanchana Thanachayanont
Keyword(s):  
Electrical Resistivity ◽  
Electron Microscope ◽  
Seebeck Coefficient ◽  
Solid State Reaction Method ◽  
Three Dimensions ◽  
Powder Size ◽  
Monoclinic System ◽  
Mean Values ◽  
Transmission Electron ◽  
Oxide Thermoelectric Materials

We present characterization and thermoelectric properties of oxide thermoelectric materials of P-Ca3Co4O9 and N-CaMnO3 synthesized by solid state reaction method and sintering in air. The crystalline structure was measured by x-ray diffraction (XRD) and confirmed by transmission electron microscope (TEM). The powder size and gran size of P-Ca3Co4O9 and N-CaMnO3 were observed by scanning electron microscope (SEM). The electrical resistivity and Seebeck coefficient are measured. It was found that, the P-Ca3Co4O9shows the point symmetry groups in three dimensions require of monoclinic system and N-CaMnO3 shows cubic system corresponding with TEM results. The powder size and grain size were obtained mean values of 1-3 µm. The electrical resistivity and Seebeck coefficient were obtained for P-Ca3Co4O9and for N-CaMnO3 at 360 K.

scholarly journals THE EFFECT OF FAMILY AND WORKPLACE CHARACTERISTICS ON THE BURNOUT LEVEL OF RADIOGRAPHERS WORKING IN ONCOLOGY PATIENT CARE

2020 ◽  
Vol 37 (2) ◽  
pp. 5-12
Author(s):  
Attila András PANDUR ◽  
Szabolcs CSEH ◽  
József TOLLÁR ◽  
Imre REPA ◽  
Csaba VANDULEK ◽  
...  
Keyword(s):  
Patient Care ◽  
Emotional Exhaustion ◽  
Maslach Burnout Inventory ◽  
Personal Accomplishment ◽  
Three Dimensions ◽  
Online Data ◽  
Oncology Patient ◽  
Cross Sectional ◽  
Mean Values ◽  
Negative Effect

Purpose: The aim of our study was to explore the burnout rate of radiographers working in oncology patient care. Materials and methods: Our cross-sectional, targeted non-random sampled research was carried out from June 2018 to September 2018. We used the Maslach Burnout Inventory supplemented with our own questionnaire for online data collection. In addition to demographic aspects, we collected data about job characteristics to examine predictors of burnout. Statistical analysis was performed using descriptive statistics, two-sampled t-test, analysis of variance, Mann-Whitney test and Kruskal-Wallis test were used at 95% confidence level (p=0.05). Results: We analyzed the data of 72 radiographers working in oncology patient care (n=72) and 332 radiographers working in other fields of patient care (n=332). Radiographers working in oncology patient care were characterized by a significantly increased value of emotional exhaustion (p=0.001). Respondents who were single, provided monthly on-call duty and held university degree showed depersonalization (p=0.001). The presence of a secondary job, working more than 40 hours of work per week and active participation in on-call duty services had a negative effect on emotional exhaustion (p=0.001). Respondents with more than one child in their household showed a significantly better value of personal accomplishment (p=0.001). The subjective assessesment of poor financial status had negative effect on all three dimensions of burnout (p=0.001). Conclusion: The mean values of the emotional exhaustion of radiograhers working in oncology patient care increased significantly. The observed elevated value of personal accomplishment shows a sign of positive feedback coming from the patients towards the radiographer.

scholarly journals MEAN VALUES FOR HOMOGENEOUS STIT TESSELLATIONS IN 3D

2011 ◽  
Vol 27 (1) ◽  
pp. 29 ◽  
Author(s):  
Werner Nagel ◽  
Viola Weiss
Keyword(s):  
Three Dimensions ◽  
Geometric Features ◽  
Isotropic Model ◽  
Mean Values ◽  
Random Tessellations ◽  
The Mean

Recently (Nagel and Weiss, 2005), the class of homogeneous random tessellations that are stable under the operation of iteration (STIT) was introduced. In the present paper this model is reviewed and new results for the mean values of essential geometric features of STIT tessellations in two and three dimensions are provided and proved. For the isotropic model, these mean values are compared with those ones of the Poisson-Voronoi and of the Poisson plane tessellations, respectively.

scholarly journals Efficient and accurate computation of spherical mean values at scattered center points

2012 ◽  
Vol 6 (4) ◽  
pp. 645-661 ◽  
Author(s):  
Torsten Görner ◽  
◽  
Ralf Hielscher ◽  
Stefan Kunis ◽  
◽  
...  
Keyword(s):  
Mean Values ◽  
Accurate Computation ◽  
Spherical Mean

scholarly journals Determination of 3D Surface Roughness Parameters by Cross-Section Method

2014 ◽  
Vol 51 (2) ◽  
pp. 60-64
Author(s):  
J. Rudzitis ◽  
J. Krizbergs ◽  
M. Kumermanis ◽  
N. Mozga ◽  
A. Ancans ◽  
...  
Keyword(s):  
Surface Roughness ◽  
Cross Section ◽  
Rough Surfaces ◽  
Three Dimensions ◽  
Roughness Parameters ◽  
Mean Values ◽  
Surface Roughness Parameters ◽  
3D Surface ◽  
3D Surface Roughness ◽  
Cross Section Profile

Abstract Currently, in the production engineering the surface roughness parameters are estimated in three dimensions, however, the equipment for these measurements is rather expensive and not always available. In many cases to buy such equipment is not economically justified. Therefore, the 3D surface roughness parameters are usually determined from the well-known 2D profile ones using the existing 2D equipment. This could be done best using the cross-section (or profile) method, especially in the case of nanoroughness estimation, with calculation of the mean values for the roughness height, spacing, and shape. This method - though mainly meant for irregular rough surfaces - can also be used for other types of rough surfaces. Particular emphasis is here given to the correlation between the surface cross-section (profile) parameters and 3D parameters as well as to the choice of the number of cross-cuttings and their orientation on the surface.

High-resolution scanning electron microscopy (HRSEM) of mitochondria from various rat tissues

1988 ◽  
Vol 46 ◽  
pp. 14-15
Author(s):  
P.J. Lea ◽  
M.J. Hollenberg
Keyword(s):  
Electron Microscopy ◽  
Pigment Epithelium ◽  
Retinal Pigment ◽  
Rat Hepatocytes ◽  
Three Dimensions ◽  
Objective Lens ◽  
Rat Tissues ◽  
Thin Sections ◽  
Reconstruction Methods ◽  
Scanning Electron

Our current understanding of mitochondrial ultrastructure has been derived primarily from thin sections using transmission electron microscopy (TEM). This information has been extrapolated into three dimensions by artist's impressions (1) or serial sectioning techniques in combination with computer processing (2). The resolution of serial reconstruction methods is limited by section thickness whereas artist's impressions have obvious disadvantages.In contrast, the new techniques of HRSEM used in this study (3) offer the opportunity to view simultaneously both the internal and external structure of mitochondria directly in three dimensions and in detail.The tridimensional ultrastructure of mitochondria from rat hepatocytes, retinal (retinal pigment epithelium), renal (proximal convoluted tubule) and adrenal cortex cells were studied by HRSEM. The specimens were prepared by aldehyde-osmium fixation in combination with freeze cleavage followed by partial extraction of cytosol with a weak solution of osmium tetroxide (4). The specimens were examined with a Hitachi S-570 scanning electron microscope, resolution better than 30 nm, where the secondary electron detector is located in the column directly above the specimen inserted within the objective lens.

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