Sentence examples for be a complete geodesic from inspiring English sources

Corollary 3.5 Let X be a complete geodesic Ptolemy space with a uniformly continuous midpoint map.

Theorem 3.3 Let X be a complete geodesic Ptolemy space with a uniformly continuous midpoint map.

Theorem 3.1 Let X be a complete geodesic Ptolemy space with a uniformly continuous midpoint map, and suppose that K ⊆ X is nonempty, bounded, closed, and convex.

Let X be a complete geodesic Ptolemy space with a uniformly continuous midpoint map, { x n } ⊆ X a bounded sequence and K ⊆ X is nonempty, closed, and convex.

Theorem 2.21 Let X be a complete geodesic Ptolemy space with a uniformly continuous midpoint map, and K ⊆ X nonempty, bounded, closed, and convex.

Let X be a complete geodesic Ptolemy space with a uniformly continuous midpoint map, { x n } ⊆ X a bounded sequence and K ⊆ X nonempty closed and convex.

Let be a complete uniformly convex geodesic metric space with a monotone (or lower semicontinuous from the right) modulus of convexity.

Let be a complete uniformly convex metric space with FPPMM and with no bifurcating geodesics and a bounded closed convex subset of.

Let be a complete uniformly convex metric space with a monotone modulus of convexity and the geodesic extension property.

A hyperbolic line (gamma in Omega) is a complete hyperbolic geodesic.

Corollary 3.8 Let K be a bounded, closed, and convex subset of a complete geodesic Ptolemy space X with a uniformly continues midpoint map.