The phrase "applied to dimension" is correct and usable in written English.
It can be used in contexts where you are discussing how something is relevant or relevantly utilized in relation to a specific dimension or aspect.
Example: "The principles of physics can be applied to dimension in order to better understand the behavior of objects in space."
Alternatives: "related to dimension" or "pertaining to dimension".
It is found that SDA applied to dimension-reduced features by PCA is the most stable and effective procedure, with sensitivity, specificity, and accuracy being 89.68%, 84.62%, and 88.52%, respectively.
The Bond Graph language has been firstly developed for the modeling of finite dimension systems in mechatronic and electrical engineering but it can also be applied to infinite dimension systems as well as to chemical engineering systems.
In [ 11] an iterative hierarchical clustering is separately applied to each dimension and biclusters are built by means of the combination of the obtained results for each dimension.
Therefore, the resulting 2D dual-tree implementation comprises four independent filter banks (hh, hg, gh, and gg) applied to each dimension and operating on the same 2D image.
However, in these studies, the moment test as a GOF test was applied to each dimension individually and the possible contribution of inter-dimensional dependency to the multivariate distribution was not considered.
The strip is then applied to second dimension SDS-PAGE where the proteins are further separated according to their molecular masses.
Our data was analysed as it applied to each dimension of the model, noting aspects that the model did not encompass.
The data were processed in nmrPipe[ 13] and analysed in CCPN.[ 14] A sine-bell-squared function was applied to both dimensions prior to zero filling to 4096 points in each dimension and Fourier transformation.
However, the proposed method can be applied to higher dimensions, since the conversion algorithm and the error measure procedure are independent of the dimensions of the environment representation.
Most predictions applied to all dimensions of empowerment, but in some cases predictions were made in relation to specific dimensions.
