The phrase "and define the relation" is correct and usable in written English.
You can use it when you want to specify the action of clarifying or explaining the connection between two or more elements.
Example: "In this section, we will analyze the data collected from the survey and define the relation between customer satisfaction and product quality."
Alternatives: "and clarify the relationship" or "and explain the connection".
Let be a non-Archimedean fuzzy metric space with and Define the relation " " on through (2.37).
Let be a non-Archimedean fuzzy metric space with and Define the relation " " on as follows: (1.3).
Now let A be a set and define the relation I(A,x,y) as follows: For x and y in A, I(A,x,y) if and only if for each subset X of A, either x and y are both elements of X or neither is an element of X.
The SIMCA-P 12 (Umetrics, Umea, Sweden) software was used to visualized and define the relation between the samples through several multivariate methods.
Participating scientists concluded that more studies were needed to define critical time windows for pollution effects on cognition, assess factors related to vulnerability to outdoor air pollution (e.g., age at exposure, stress, and socioeconomic status), and define the relation of particle pollution composition to its toxicity.
This activity is decomposed into the following five functions: Define ***meta-models, Validate the meta-model, Investigate and define the relations between the enterprise modelling languages, and Validate unified meta-model.
Computed tomography scan and magnetic resonance imaging can give a more accurate diagnosis and defines the relation of the FIF with the other intra-abdominal structures [ 14].
To meet the completeness criterion, we have tried to identify as many semantic relations as possible that CPCs may have and we define the relation of elaboration and addition rather flexible and inclusive, which makes the completeness criterion easier to be achieved.
The present study seeks to determine the fault mechanisms of small-moderate earthquakes in Denizli Graben in Turkey and to define the relation of the fault mechanism with the regional tectonics.
If we fix (ain X) and define the binary relation (le _a) by saying that (xle _a y) just in case ([a,x,y]) holds, then R2 and R4 say, respectively, that the relation (le _a) is reflexive and transitive in the usual sense, and is hence a pre-order.
Let (X) be a connected topological space, and define the ternary relation ([a,c,b]_C) to hold for (a,b,cin X) just in case either (cin {a,b}) or (a) and (b) lie in different components of (X{setminus }{c}.) This is the C-interpretation of betweenness in a connected topological space; a point of (X) is a cut point if and only if it lies properly between two other points in the C-interpretation.
