Sentence examples for branch space from inspiring English sources

The American Folk Art Museum barely avoided extinction last year when it was forced to sell its ill-suited building on West 53rd Street in Manhattan and retreat to its much smaller branch space at 2 Lincoln Square.

We show that any uncountable order-complete linearly ordered set X can be represented as the branch space of a tree T that is more simple than X and that if X is representable as a branch space, then any Gδ-subset of X is also representable as a branch space.

Consider an abstract equation in a Branch space In this section, we use the coincidence degree theory to obtain the existence of an -periodic solution to (1.5).

We investigate branch spaces of Aronszajn trees, showing that any such branch space is hereditarily paracompact, first-countable, Lindelöf, non-separable, non-metrizable, and provided T does not contain any Souslin subtree, then its branch space is not perfect (i.e., has a closed subset that is not a Gδ-set).

However, we show that even though the usual set R of real numbers can be represented as the branch space of a tree with countable height and countable levels, most subsets of R cannot be represented in this way.

Todorčevic noted that any linearly ordered set (X,<) is isomorphic to the branch space of some tree, provided the tree is allowed to be as complicated as X itself.

We also study topological properties of branch spaces.

The algorithm and the human pruning resulted in similar average branch spacing.

RMSD in branch spacing between the algorithm and the workers was found to be 13%.

We also study the existence of σ-disjoint π bases and σ-disjoint bases in branch spaces of trees.

Pruning branches were identified in the reconstructed trees using a simplified two-step pruning rule; (i) maintain specified branch spacing and (ii) maintain specified branch length.