Bounding right-arm rotation distances

Rotation distance quantifies the difference in shape between two rooted binary trees of the same size by counting the minimum number of elementary changes needed to transform one tree to the other. We describe several types of rotation distance, and provide upper bounds on distances between trees with a fixed number of nodes with respect to each type. These bounds are obtained by relating each restricted rotation distance to the word length of elements of Thompson's group F with respect to different generating sets, including both finite and infinite generating sets.

Miocardite na forma aguda da doença de Chagas

The autopsy of a case of CHAGAS'S disease or American tryponosomiasis (a girl, 5 years old), dead in the 22nd day of illness is reported. The anatomic diagnosis was a follows: Acute diffuse chagasic nyocarditis. Chagasic encephalitis. Chagasic lymphadenitis of the right posterior auricular node. Tuberculosis of the bronchial and pulmonary nodes. Chronic passive hyperemia and atelectasia of the lungs. Chronic passive congestion and hemorrhages of the spleen. Serous hepatitis. Parotiditis. Edema of the right eyelids. Bilateral hydrothorax. Hydropericardium. Hydroperitoneum. The morphology of Schizotrypanum cruzi in the myocardium is considered. Besides agglomerates with typical small oval or round intracellular bodies, pre-flagellate and flagellate organisms, others are found in which the great amount of parasites and marked pressure exerted by them against each other render very difficult their identification; sometimes the similitude of such agglamerates to Toxoplasma is striking (Fig. 1 and 1 A). In such a case, the structure of the blepharoplast (Fig. 1 and IA), usually preserved, is profitable and allows the identification of the pre-flagellate and flagellate forms of Schizotrypanum cruzi. Most of the small sensitive nerves in the epicardium shows mononuclear infiltration of the perineurium (perineuritis, Figs. 12-14). Microscopically there is extensive Zenker's degeneration (Figs. 6-8) and parasitism of the heart muscle fibers, marked cellular infiltration of the interstitial connective tissue, which are found in the ordinary musculature of every chamber of the heart (Figs. 10-11) as well as in Tawara's node (Fig. 9), main bundle (Fig. 2) and right (Fig. 4) and left (Fig. 5) septal divisions of the bundle of His, and perineuritis. Those anatomic changes are associated to an abnormal electrocardiogram presenting some similitude to that of an anemic infarct of the anterior wall of the heart and which will be discussed elsewhere (unpublished paper by Dias, Nobrega & Laranja).

Observation on the morphology of Australorbis glabratus

The present morphological study of A. glabratus was based on the observation of shell, radula, renal region and genitalia of 50 specimens having a shell diameter of 18 mm. In this summary we record the data pertaining to the chracteristics that can be used in systematics. The numerals refere to the mean and their standard deviation; no special reference being made, they correspond to length measurements. Shell: 18 mm in diameter, 5.59 ± 0.24 mm in greatest width, 5 to 6 whorls. Right side umbilicated, left one weakly depressed. Last whorl about thrice as tall as the penultimate one at the aperture, the measurements being taken on the right side. Aperture perpendicular or a little oblique. Body, extended: 47.06 ± 3.31 mm. Renal tube: Narrow and elongated, 23.84 ± 1.90 mm, showing a pigmented ridge along its ventral surface. Ovotestis: 12.78 ± 1.50 mm. Mainly trifurcate diverticula attaching in fan-like manner to the collecting canal (this arrangement is seen to best advantage in the cephalic middle of the ovotestis). The collecting canal greatly swells at the cephalic end, narrowing suddenly as it leaves the ovotestis. Ovisperm duct: 13.70 ± 1.68 mm, including the non-unwound seminal vesicle. The latter, situated about 1 mm from the beginning af the ovisperm duct, was 1.14 ± 0.29 mm in greatest diameter, and is beset by numerous short diverticula. Sperm duct: 14.16 ± 1.27 mm, pursuing a sinous course along the oviduct. Prostate: Prostate duct 5.53 ± 0.74 mm, collecting a row of long diverticula, the latter 21.6 ± 3.5 in number. Last diverticulum generally simple or bifurcate, penultimate generally arborescent, bifurcate or simple, antepenultimate nearly always arborescent, the remaining ones arborescent. The arborescent diverticula frequently give off secondary branches. Vas deferens: 17.50 ± 2.05 mm. The ratio vas deferens/vergic sac was 4.7 ± 0.6. Verge: 3.70 ± 0.54 mm long, 0.12 ± 0.03 mm wide. Free end tapering to a point where the sperm canal opens. No penial stylet. Vergic sac: 3.77 ± 0.50 mm long, 0.19 ± 0.01 mm wide. The length ratio vergic sac/preputium was 1 ± 0.02. Preputium: Deeply pigmented, 3.79 ± 0.40 mm long, 0.89 ± 0.12 mm wide in the middle. Muscular diaphragm between it and the vergic sac. Two muscular pilasters along its lateral walls. Oviduct: 10.24 ± 1.29 mm, suddenly swollen at the cephalic end so that it forms a folded pouch capping the beginning of the uterus. Uterus: 10.58 ± 1.18 mm. Vagina: 2.06 ± 0.15 mm long, 0.32 ± 0.05 mm wide, showing a swelling at its caudal portion, just above the opening of the spermathecal duct. Spermatheca: 1.57 ± 0.41 mm long, 0.92 ± 0.23 mm wide. Spermathecal duct 1.15 ± 0.23 mm. Radula: 125 to 163 rows of teeth (mean 141.4 ± 9.8). Radula formula 27-1-27 to 34-1-34 (mean 30.9 ± 1.7).