Sentence examples for be a map that from inspiring English sources

Let r : ℕ → {1,..., N} be a map that assumes every value infinitely often.

Let f be a continuous mapping of a complete metric space ( X, d ) into itself and let g : X → X be a map that satisfies the following conditions: for all x, y ∈ X and for some 0 < k < 1.

Let be a complete -tree, and let be a map that verifies the following two conditions: (i) maps bounded sets into relatively compact sets; (ii there exists a closed convex subset of and a vertex such that, for every.

[7]Let H be a Hilbert space and {P1,..., P N } be a finite family of orthogonal linear projections defined on H. Let r : ℕ → {1,..., N} be a map that assumes every value infinitely often.

Let (Phi X_{0}rightrightarrows X_{n}) be a map that admits a decomposition (Phi(x)=(Phi_{n}circcdotscircPhi_{1})(x)), where each map (Phi_{i}:X_{i-1}rightrightarrows X_{i}) is u.s.c. with ∞-proximally connected in an ANR (X_{i}) for all (i=1,ldots,n).

Let be a global NPC space with the property that the closed convex hull of every finite subset is compact and let be a map that verifies the following two conditions: (i) maps the bounded sets into relatively compact sets; (ii there exists a closed ball such that every point with is outside the geodesic segment of endpoints and.

It was a map that defined the contours and forever expanded the frontiers of our continent and our imagination.

The one thing she hasn't included is a map that might have clarified the book's geography; Charles Frazier included a Blue Ridge Mountains map in "Cold Mountain," after all.

KAMARCK: Because that's a map that really shows you the sort of hard-core basic partisan divisions of the country: states that tend Democratic and tend Republican.

"The Review is like a map of Bob's mind," Mr. Hederman has said, and it's a map that is unusually varied and capacious.

Hanging on a wall in a conference room is a map that shows the geographical distribution of the organization's eleven thousand members.