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LetX ↪→ P be a smooth, linearly normal algebraic curve. We show that the asymptotics of the Mabuchi energy are completely determined by the discriminant polytope and the Chow polytope of X . From this we deduce a new and entirely algebraic proof that the Mabuchi energy of the rational normal curve of degree d ≥ 2 is bounded below along all degenerations. We conclude that the Moser-Trudinger-Ono...

The accuracy of a diagnostic test is typically characterised using the receiver operating characteristic (ROC) curve. Summarising indexes such as the area under the ROC curve (AUC) are used to compare different tests as well as to measure the difference between two populations. Often additional information is available on some of the covariates which are known to influence the accuracy of such ...

this study evaluates the discriminative power of sequential spectrum analysis of the short-term electrocardiogram (ecg) time series in separating normal and subjects with life threatening arrhythmias like, ventricular tachycardia/fibrillation (vt/vf). the raw ecg time series is transformed into a series of binary symbols and the binary occupancy or relative distribution of mono-sequences (i.e. ...

PURPOSE To evaluate and correlate the peaks and the fluctuation of intraocular pressure seen in the association of the ambulatory intraocular pressure curve with the water-drinking test versus the peaks and the fluctuation seen in the daily intraocular pressure curve. METHODS The sample was as follows: 77 eyes belonging to 77 patients who were divided into three groups composed of 31 eyes bel...

  Objective: For the assessment of primary arch form, different methods have been used including qualitative classifications, inter-canine and inter-molar widths and quantitative and numerical methods using mathematical models. The purpose of this study was to compare the validity and reliability of Cast Analyzer X Iranian software with those of Curve Expert Professional version 1.1 for arch fo...

In this paper, we study the special tube surfaces generated by rectifying curves with respect to Darboux frame in terms of geodesic curvature, normal curvature and torsion Galilean 3-space. During establish some definite results geodesics on specific help Clairaut’s theorem detail compute Gaussian mean frame. After that, considering conditions curvatures surface, give theorems for $v$-parameter...

This study evaluated perfusion of skeletal muscle using contrast enhanced ultrasonography in humerus, radius, femur and tibia in normal dogs. Contrast enhanced ultrasonography for each region was performed after injecting 0.5 mL and 1 mL of contrast medium (SonoVue) in every dog. Blood perfusion was assessed quantitatively by measuring the peak intensity, time to the peak intensity and area und...

1-type and biharmonic curves by using laplace operator in lorentzian 3-space arestudied and some theorems and characterizations are given for these curves.