The phrase "all transformations in the" is correct and usable in written English.
It can be used when discussing changes or modifications within a specific context, such as mathematics, science, or any field that involves transformation processes.
Example: "All transformations in the dataset were carefully analyzed to ensure accuracy in the results."
Alternatives: "all changes in the" or "all modifications in the".
Because the consensus shape is perfectly symmetric under all transformations in the symmetry group, the alignments of the transformed and relabelled copies of each configuration all share the same centroid and differ exactly by the symmetry transformations.
For this purpose, the effect of all transformations in the feature extraction process on this probability distribution needs to be considered, which will result in an estimated feature domain random variable, describing both the mean of the speech features as well as the associated degree of uncertainty.
For any type of symmetry, it is possible to conduct Procrustes ANOVA with a single asymmetry factor that includes all transformations in the symmetry group as its levels.
The sums over all transformation in the symmetry group may have more than two summands (if o > 2).
After computing all the transformations in the data, we group the pairs such that those making the same chemical transformation are aggregated together.
Despite all the transformations in the industry, by 1961 the average production cost of an American feature film was still only —after adjusting for inflation, less than 10 percent more than it had been in 1950.
The generalized Procrustes fit of the combined data set produces a consensus shape that is invariant under all the transformations in the symmetry group, that is, a completely symmetric shape.
When a congregation asks itself what it wants in a new rabbi or pastor, that questioning leads easily into puzzling over all the transformations in the culture affecting religion and religious institutions.
Among all enzymatic transformations in the late-stage cell wall biosynthesis, PBP2 is unique in that it works extracellularly.
Specifically, the transformations used as asymmetry factors in the Procrustes ANOVA must be a set of generators of the symmetry group (a set of transformations that, under repeated application and in combination with each other, produce all the transformations in the symmetry group).
The idea for shape analysis with object symmetry of any type is to assemble a data set containing copies of each original landmark configuration to which all the transformations in the symmetry group have been applied with the appropriate relabelling, and then to perform a generalized Procrustes fit on this data set.
