Sentence examples for state the relation from inspiring English sources

The following lemmas state the relation between eigenvalues and singular values.

We next state the relation between the generalized Muckenhoupt conditions and the boundedness of the Hardy-Littlewood maximal operator on weighted Lebesgue spaces in the variable exponent setting.

In the following, we turn to state the relation between the global minimizer of and that of the original problem (1.5).

Later on, we can state the relation between an n-additive function and the difference operator of its diagonalization as shown below.

Example 2.6 We state the relation of l = 3 and l = 4. Let a n ( 4 ) : the coefficient of cosine series, b n ( 3 ) : the coefficient of sine series, and m ∈ N. By using Theorem 2.5, we derive that b n ( 3 ) = 2 4 cos n π ( P 2 3 n 3 π 3 − 1 n π ) = − n π 8 2 5 cos n π ( P 3 4 n 4 π 4 − P 1 4 n 2 π 2 ) = − n π 4 m a n ( 4 ) for  m = 2.

At steady state, the relation is as follow: ω =2 γcontact  − 2 γcortex cos  θ.

Thereby, the relative absolute error (RAE) states the relation of the prediction accuracy of our model compared to a simple mean forecasting model.

Moreover, as the same structure can exist with different hydrated/hydrolyzed states, the relation to water content-electrochemical behavior has still to be elucidated.

The first equation simply states the relation between the resolvent of the Hamiltonian and the Green's function G E) which is normalized as lim m→0,E→0 G(E)| d=3 = (4πr)−1.

Assuming that other types of neurons (or pyr cells at other layers) have not been measured, do not over-state the relation of avalanche dynamics to pyramidal cells.

No studies on adipocyte or adipose tissue have clearly stated the relation of BCL2 adipose tissue levels with obesity.