One such restriction is to assume that the Riemannian manifold ( M, g ) is simple, i.e., M is simply-connected, any geodesic has no conjugate points and ∂ M is strictly convex.
If the manifold ( M, g ) is simple, the following factorizations hold: P - = - 1 2 π I δ ⊥ I 1 ∗, P + = - 1 2 π I 1 ∇ ⊥ I 0 ∗.
The genesis of middle gases buried in the depth of 1,500 3,500 m was simple and was dominated by mature oil-type gases.
$$\end{document} Equation (8) is used as the basis for a simple method to invert A [ 15], because I and M are simple matrices and D is a diagonal matrix for most livestock species.
The abbreviation "Ms" is simple, it is easy to write, and the person concerned can translate it properly according to circumstances.
However, it should be kept in mind that the test-retest may be influenced by the complexity and ambiguity of the item [ 38]; although both the expert panel and the pilot study agreed on the fact that Bull-M is simple and clear, so complexity and ambiguity are not an issue.
Let ( M, g ) be simple two dimensional compact Riemannian manifold with boundary.
L K ( m, n ) is universal, in the sense that if S is any K -algebra having module type ( m, n ), then there exists a nonzero K -algebra homomorphism φ : L K ( m, n ) → S. L K ( m, n ) is simple ( i.e., has no nontrivial two-sided ideals ) if and only if m = 1.
