Closed circle

Triangulations of the topological closed disk and circle packings

On the Simple Closed Curve Property of the Circle and the Fashoda Meet Theorem

In this paper x, y, z, u, a are real numbers. We now state a number of propositions: (1) If x = y, then x = y or x = −y. (2) If x = 1, then x = 1 or x = −1. (3) If 0 ¬ x and x ¬ 1, then x ¬ x. (4) If a ­ 0 and (x − a) · (x + a) ¬ 0, then −a ¬ x and x ¬ a. (5) If x − 1 ¬ 0, then −1 ¬ x and x ¬ 1. (6) x < y and x < z iff x < min(y, z). (7) If 0 < x, then x3 < x and x 4 < x. (8) If x ­ 1, then √x ...

Modification of the Coxeter-Mushin circle absorber unit for use with halothane in the closed circuit.

•IN a previous article (Brown and Woods, Bnt. J. Anaesth., this issue, p. 333) we have referred to technical difficulties experienced with the machines we used in our closed circuit cases. As it seems possible that others working with similar apparatus may wish to employ halothane in this way, we thought that some account of the troubles encountered and the modifications required might be of in...

On the Simple Closed Curve Property of the Circle and the Fashoda Meet Theorem for It

First, we prove the fact that the circle is the simple closed curve, which was defined as a curve homeomorphic to the square. For this proof, we introduce a mapping which is a homeomorphism from 2-dimensional plane to itself. This mapping maps the square to the circle. Secondly, we prove the Fashoda meet theorem for the circle using this homeomorphism. In this paper x, y, z, u, a are real numbe...

The Women's Circle comes full circle.

Women have been the backbone of service provision for health and healing in the Native American community in the San Francisco Bay Area. The contributions of Native women are exemplified in the Women's Circle of the Native American Health Centers in San Francisco and Oakland. Women receive a broad range of services through the Women's Circle--in a coed residential substance abuse treatment faci...