Sentence examples for 1 homogeneity from inspiring English sources

A function M : R + 2 → R + is called a mean function if it has the following properties: (1) Homogeneity: M ( a x, a y ) = a M ( x, y ) for all a > 0 ;   (2) Symmetry: M ( x, y ) = M ( y, x ) ;   (3) Reflexivity: M ( x, x ) = x ;   (4) Monotonicity: If x ≤ x ′ and y ≤ y ′, then M ( x, y ) ≤ M ( x ′, y ′ ) ;   (5) Internality: min { x, y } ≤ M ( x, y ) ≤ max { x, y }.  .

Further information regarding the homogeneity test is in the Electronic Supplemental Material (Section 1, Homogeneity study).

The variance of the control group (σ0) was set to 1, while the variance of the cases (σ1) was set to 0.5, 1 (homogeneity), 2, or 3.

Thus, by evaluating the suitability of a reference material, the following criteria should be taken into consideration [ 1– 5]: Homogeneity of the material.

Homogeneity: 0: good homogeneity, 1: almost homogeneous images, 2: minor heterogeneity close to skull base and in temporal lobes, 3: heterogeneous signal at multiple locations, 4: high number of heterogeneous areas, 5: highly heterogeneous images, no valid analysis possible.

A variable pitch design was used to improve the B1 homogeneity of the coil.

The two-point DIXON method assumes that the main field B0 homogeneity is perfect.

In the cases of in (1.4), homogeneity property of quartic functional equations does not hold.

Studies performed on the NdVO4 BiVO4 system showed the existence of the BixNd1−xVO4 homogeneity range for x ⩽ 0.49(1).

Variations in parameters are tested one by one, based on the basic model (i.e., ±0.3 g/cm3, homogeneity parameter 0.2, and mean grid length 500 m).

Considerable improvement of the B1 homogeneity and EPR image quality in comparison with reflection loop-gap resonator of similar size and volume was observed.