Sentence examples for map of degree from inspiring English sources

The map (pr_{2}: beta_{i}rightarrowmathbb{D}_{r}), (pr_{2} x,y)=y) is a covering map of degree one.

Clearly, every homogeneous map of degree p (on a generalized cone) is positively homogeneous of the same degree p. The reverse is not always true.

Step 2: f is a map of degree one since f induces an isomorphism between the last non zero homology groups of M, N respectively.

For the analogous problem on the half-plane we prove existence of a global minimizer when p is close to 2. The key ingredient of our proof is the degree reduction argument that allows us to construct a map of degree d="1 from an arbitrary map of degree d>1 without increasing the p-Ginzburg Landau energy.

Set and let S π be the hypersurface in given as the graph of the polynomial map of degree ν defined as follows: (2.2). (note that for dimk A=2, one has P π =0).

Theorem 10 Let n ≥ 2, and let ϕ : S n − 1 → S n − 1 be a sparse map of degree d and suppose f : ( B n, S n − 1 ) → ( R n, S n − 1 ) is a smooth map extending ϕ.

Our objective is the following: (Conditions on degrees) Let (U^_{1}) be the escaping set of a complex Hénon mapping of degree d, with d being a prime integer.

Further, the mapping f is called a generalized β-γ-type contractive mapping if it is a generalized β-γ-type contractive mapping of degree k for each (kinmathbb{N}).

Let be the ech homology functor with compact carriers and coefficients in the field of rational numbers from the category of Hausdorff topological spaces and continuous maps to the category of graded vector spaces and linear maps of degree zero.

We notice that if a mapping (f : X to Y) is a monomial mapping of degree n, then (f(rx) = r^{n} f(x)) for all (x in X) and all rational numbers r (see [1, 2]).

We notice that if a mapping (f : V to W) is a monomial mapping of degree n, then (f(rx) = r^{n} f(x)) for all (x in V) and all rational numbers r (see [1, 2]).