Sentence examples for map of m from inspiring English sources

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Let T be a continuous map of M into a compact subset K of M. Then T has a fixed point.

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On 1 April the care home manager filled out a "body map" of Ms Cooke showing pressure sores on her left buttock.

For all a, b > 0, define R ( m 1, m 2, m 3 ) ( a, b ) = m 1 ( m 2 ( a, m 3 ( a, b ) ), m 2 ( m 3 ( a, b ), b ) ), called the resultant mean-map of m 1, m 2 and m 3. A study investigating the elementary properties of the resultant mean-map was stated in [1].

Let M be a bounded closed convex subset of a Banach space X, and let T be a nonexpansive mapping of M into M.

To run the equation, mapping of m was undertaken by classifying the slope of the watershed according to the m values presented in Table 3.

Raman maps of m.o. at a dilution of 10 μl/ml are measured over a D24 surface and reported in the inset of Fig. 5b.

[[23], Theorem 2.1] Let M be a nonempty closed and q-starshaped subset of a normed space X and T and f be self-maps of M such that T(M) ⊆ f(M).

Let M be a nonempty closed and q-starshaped subset of a normed space X and let T and f be self-maps of M such that T ( M ) ⊆ f ( M ).

Let M be a nonempty τ-bounded subset of Hausdorff locally convex space (E, τ), S, T and f be self-maps of M and S, T be (a.o.c).

Corollary 3.6 Let M be a nonempty subset of a metric space ( X, d ), and T, f and g be self-maps of M such that ( T, f ) and ( T, g ) are Banach operator pairs on M. Assume that cl ( T ( M ) ) is complete, T is a generalized almost ( f, g ) -contraction and F ( f ) ∩ F ( g ) is nonempty and closed.

A vector field A on M is a mapping of M into TM which associates to each point x ∈ M, a vector A ( x ) ∈ T x M. We always assume that M can be endowed with a Riemannian metric to become a Riemannian manifold.

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