The phrase "assignments defined as" is correct and usable in written English.
It can be used when specifying or clarifying the nature or criteria of certain assignments in a document or discussion.
Example: "The course syllabus includes a section on assignments defined as group projects, which require collaboration among students."
Alternatives: "assignments characterized as" or "assignments described as".
Specifically, the probability assignments are defined as a uniform distribution based on the known functional class labels as follows (5) P c k | x i = 1 / l x if x i is labeled c k 0 otherwise where lx is the number of functional classes for an annotated protein xi.
Exposure assignment is defined as the step where exposure estimates are assigned to the individuals in the study population based on information on, for instance, jobs held or food frequency questionnaires (Loomis and Kromhout 2004).
The payload size for synchronization, power detection, and scheduling assignment is defined as 10 bytes and the payload size for broadcasting and neighboring information uploading is defined as 10 × N, where N is the number of the sensor devices.
For arbitrary given input vector x, each local model provides a prediction regarding the value of the output variable y, in the form of fuzzy belief assignment (FBA), defined as a collection of fuzzy sets of values with associated masses of belief.
An identification or assignment was defined as unique if there was only one candidate in the database within the specified tolerances for an observed peak.
The criteria for a positive assignment were defined as previously described [ 19].
The reads with a single placement, minimum number of mismatches (4 mismatches per read) and clear strand assignment were defined as uniquely mapped reads.
An assignment is defined as non-local if the two residues in contact are at least six residues apart in protein sequence.
An assignment was defined as unambiguous if there was only one best match with less than six mismatches to the corresponding genomic sequence and the second best match displaying at least one more mismatch.
From these candidate metabolites, an identification or assignment was defined as unique if there was only one candidate in the database within the specified tolerances for an observed peak (Additional file 6).
