Sentence examples for length spaces from inspiring English sources

Our proof holds on non-smooth structures, such as length spaces, and provides a universal control of the constants.

We then prove a Sobolev inequality for measured length spaces with N-Ricci curvature bounded below by K>0.

Long-branch effects have been exhaustively examined by simulation studies that have compared the performance of different inference methods in specific model trees and branch length spaces.

The effects of parameters such as soil density, reinforcement length, spacing and stiffness on the seismic response of the model walls were studied.

This method is proven to be asymptotically optimal among brute-force strategies in terms of proof length, space and time [4].

Metal-assisted wet chemical etching is advantageous for achieving SiNWs with controlled diameter, length, spacing, and density, avoiding expensive and low-throughput usual lithographic processes [13].

We give sufficient conditions for a measured length space (X,ν,ν) to admit local and global Poincaré inequalities, along with a Sobolev inequality.

Specifically, the impact of certain detailed fracture characteristics, such as density, mean length, spacing, connectivity and matrix permeability on the flow was measured.

A space (X, d) is said to be a length space if for every x and y we have begin{aligned} d x,y)=inf {{{mathrm{Length}}} omega ),omegaga in mathrm {AC}(X),omegaa (0)=x,omegaa (1)=y}.

Adjacent fins form open-ended cavities and natural convection of air in these cavities is investigated using the PHOENICS code for various values of fin length, spacing and root temperature.

In the early stages of development planning, production facility design and size, along with pad location, well pair length, spacing and orientation for SAGD and opening cut location, bench design, and sequencing for mining, are considered to optimize resource capture.