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Left ventricular volumes were obtained using Simpson's Rule (method of disks), utilizing the average of volumes from apical four-chamber and two-chamber views [ 4].
LV end-diastolic volume (LVEDV) and LV end-systolic volume (LVESV) were calculated using the biplane method of disks (modified Simpson's rule) from the apical four-chamber and two-chamber views [ 29] and indexed to BSA (LVEDVI and LVESVI, respectively).
Left ventricular end-diastolic volume (LVEDV) and left ventricular end-systolic volume (LVESV) were calculated using the biplane method of disks (modified Simpson's rule) from the apical four-chamber and two-chamber views [ 21].
The left ventricular ejection fraction (LVEF) was measured by the Simpson's biplane method of disks; aortic stiffness was assessed by sonographic measurements of the carotid to femoral pulse wave velocity (PWV).
We measured EF using the monoplane Simpson's method of disks from the apical four-chamber view and defined severely abnormal EF as <30 % and hyperdynamic EF as > 70%% [ 17].
LV ejection fraction (LVEF) was calculated from the apical four-chamber view by using Simpson's method of disks and according to recommendations of the American Society of Echocardiography [ 26].
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The reported LVEF was extracted from records and was based on visual assessment or quantification using Simpson's methods of disks in accordance with published guidelines whenever possible.
In this paper, we presented WB-, (G^{0} -, and (G^{1} -multi-degree reduction methods of disk Bézier curves.
Jiang and Tan considered in [17] degree reduction methods of disk Said-Ball curves with and without interpolation of the endpoints.
The directivity information of the modes carried in the directional frequency response functions is used in a modal testing method of rotating disks which is proposed for separation of the forward and backward travelling wave modes and identification of the diametrical node numbers associated with modes of interest.
The results in this paper can be applicable for designing and optimizing the dry granulation method of spinning disk atomization.
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