Sentence examples for by basic properties of from inspiring English sources

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By basic properties of L, < N, ∈ > must be < Lα, ∈ > for some α.

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This positive relationship between FVIs and FIs indicates that local preference is partly informed by physical (basic) properties of the wood.

This model is governed by two basic properties of the oscillator: (a) the radial relaxation timescale and (b) the phase velocity distribution around the limit cycle.

By studying a generic model, we characterize the transient time to entrainment and show how it is governed by two basic properties of an oscillator: the radial relaxation time and the phase velocity distribution around the limit cycle.

We explored the nonlinear nature of the compositional tradeoff, and we argue that it is governed by the basic properties of the genetic code and can be described analytically.

According to CO2 adsorption analyzed by IR, surface basic properties of mixed supports were clearly enhanced with alkaline earth concentration.

We finish this section by recalling some basic properties of the twisting bijection (or torsion map) τ z : H 1 ( X, z G ) → H 1 ( X, G ).

In this section, by combining some basic properties of Orlicz spaces and the arguments of the preceding sections, we establish some new norm inequalities which may characterize the Hardy-Knopp type operators in abstract spaces.

By using these basic properties of the optimal nodes a numerical procedure based on a nonlinear Remez search and exchange algorithm is given to compute the optimal nodes for polynomial interpolation on ([-1, 1] ) [31].

In this section, we shall give the proof of the existence of the positive eigenvalue for the problem (E), by applying the basic properties of the spaces L p ( x ) ( R N ) and W 1, p ( x ) ( R N ), which were given in the previous section.

for all x ∈ Ω, then we have W 1, p ( x ) ↪ L q ( x ). and the imbedding is compact if inf x ∈ Ω ( p ∗ ( x ) − q ( x ) ) > 0. In this section, we shall give some properties of the integral operators corresponding to problem (B) by applying the basic properties of the spaces L p ( x ) and W 1, p ( x ) which were given in the previous section.

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