Sentence examples for decreasing property from inspiring English sources
Now let's prove the monotonically decreasing property of Y γ 0 in terms of γ0. 1.
Further, it is easily seen that inherits the monotone decreasing property of.
Example 10 shows that the orbital decreasing property cannot be omitted in the statement of Corollary 15 in order to guarantee the uniqueness of the fixed point.
It is not hard to see that ((mathbb{R}^,tau(d_{S}),leq)) has the orbital decreasing property with respect to f.
Summing up this inequality from (k=0) to (k=n) and the monotone decreasing property of ((| x_{n} - T(x_{n}) |^{2})_{ninmathbb{N}}) ensure that, for all (ninmathbb{N}), frac{1}{1+sigma} deltabiglVert x_{n} - T (x_{n} ) bigrVert ^{2} sum_{k=0}^{n} alpha_{k} leqbiglVert x_{0} - T (x_{0} ) bigrVert ^{2}, which completes the proof.
It is clear that ((X, tau(d_{S}),preceq)) does not have the orbital decreasing property with respect to f, since there does not exist (zin X) such that ((f^{n}(0))_{ninmathbb{N}}) and ((f^{n}(1))_{ninmathbb{N}}) converge to z with respect to (tau (d_{S})) although (0preceq1).
With the decreasing properties of gradient modulus of subdivision finite element, it has been proved that the function sequence converges to the solution of finite element formulation of p-Laplace equation.
Some people worried about decreased property values and increased crime, and Community Board 2's social services committee initially rejected the idea.
And contrary to Mr. Cooper's assertion that wind farms decrease property values, a recent study by Lawrence Berkeley National Laboratory found absolutely no impact on property values from wind farms.
Eric Oddleifson of Cohasset, Mass., suggested that "the polluters (i.e., the airlines) pay for the damage they will inflict" in increased noise and in decreased property values for people living near airports.
Opponents said that it would create a traffic nightmare and decrease property values and that it would be un-American, if not immoral, because an entire neighborhood would be displaced to make way for a single business.
