We give a reformulation of a six-parameter family of coupled Painlevé VI systems with affine Weyl group symmetry of type D (1) 6 from the viewpoint of its symmetry and holomorphy properties. In [9, 10], we proposed a 6-parameter family of four-dimensional coupled Painlevé VI systems with affine Weyl group symmetry of type D (1) 6. This system can be considered as a genelarization of the Painlev...

CD studies of the deoxyoligomer series d(pT)(n) and d(pA)(n) show increasing CD maxima for oligo (dT)'s with chain length variation from two to seven, while oligo (dA)'s exhibit a decreasing CD maximum. Concentrated solutions of NaClO(4) cause a decrease in the CD of longer oligo (dT)'s towards the CD of d(pT)(2) which is different from oligo dA's. Probably base-sugar interactions are important...

(a) Show that the 3-pointed star metric (S, d) does not embed isometrically (i.e. with distortion 1) into `2. The star metric has four points S = {c, v1, v2, v3} (a center and 3 leaves) with d(c, vi) = 1 for i = 1, 2, 3 and d(vi, vj) = 2 for i 6= j. (b) Show that (S, d) does embed isometrically into `1. (c) Let T = (V, E) be a graph-theoretic tree, and let dT be the (unweighted) shortest path m...

and Applied Analysis 3 then, we have z 󸀠 (t) + z (t) ( d dt q (t)) ≥ −R (t) . (13) Multiplying the above inequality by eq(t) = Q(t), we get d dt (z (t) Q (t)) ≥ −Q (t) R (t) . (14) Consider now the integral on the interval [0, t] to obtain z (t) Q (t) ≥ z (0) − ∫ t 0 Q (s) R (s) ds, 0 ≤ t ≤ T, (15) so z (t) = 1 b (T) + x (t)

In this paper we describe an experimental system called d dt for approximating reachable states for hybrid systems whose con tinuous dynamics is de ned by linear di erential equations We use an approximation algorithm whose accumulation of errors during the con tinuous evolution is much smaller than in previously used methods The d dt system can so far treat non trivial continuous systems hybri...

Emotional distress (ED) is greater for oncology patients in comparison with the general population, and this has implications for the quality of life of the patient and his/her family, adherence to the treatment, and eventually, survivorship. In general, the detection of these symptoms is low, which explains the need for detection systems appropriate to the clinical reality of the oncology team...

Multiple regression analysis was used in order to evaluate the independent contribution and combined use of mechanocardiographic indices for assessing cardiac function in 23 patients with coronary artery disease. Three indices were derived from the quantitative displacement left apex cardiogram: the time from the onset of electrical depolarisation to the peak of the first derivative (t peak dD/...

We consider an n-dimensional p-Laplacian-like neutral functional differential equation (NFDE) in the form d dt fp1⁄2xðtÞ cðtÞx0ðt tÞ þ d dt rFðxðt tÞÞ þ bðtÞrGðxðt dðtÞÞÞ 1⁄4 eðtÞ; where c(t) and bðtÞ are sign-changeable. Using Mawhin’s continuation theorem, we establish some criteria to guarantee the existence of periodic solutions for the above system, which generalize and improve on the corr...

In order to establish a new echocardiographic index of the severity of mitral stenosis, left ventricular echocardiograms were digitised using manual tracing and a computer. The instantaneous left ventricular dimension was measured in 15 patients with mitral stenosis. The peak rate of change of left ventricular dimension (peak dD/dt) and the normalised peak rate (peak dD/dt/D) during early diast...