The phrase "are defined hence" is correct and usable in written English.
It can be used to indicate that something is defined as a result of what has been previously stated.
Example: "The terms used in this document are defined hence to ensure clarity in our discussions."
Alternatives: "are defined as a result" or "are defined accordingly".
Based on sequence and structural analysis, type one (PP1), type 2A (PP2and and type 2B (proteinrotein phosphatases are related enzymes and hence, are defined as the PPP family.
TPIs are measures to assess the progress toward goals and objectives and hence these are defined in terms of goals, objectives, targets and thresholds.
Individual intercepts and slopes are defined as random effects and hence the model yields estimates of the among-individual phenotypic variance (V I ) when E = 0, and the variance in reaction norm slopes (V IxE ), as well as the covariance of these two parameters (COV VIVIxE ).
These results ensure that the first components of x ± are defined and continuous in t, and hence are in L1[a, b].
The truest pleasures hence goods—are defined along the lines of Epicurean ataraxia (attainment of tranquility) and Christian virtues, including in particular love of God, and friendship and good will among persons.
In addition, in order to develop a resilient strategy, the levels of possible trade-offs between the different values (environmental, economic, social, cultural, territorial,…) of a system should be defined and hence there is a need to use tools that identify the thresholds for the proper use of different resources, such as those used in urban metabolism analysis.
Reliable markers for the definition of the multipotent fraction have not yet been defined and hence these cells have alternatively been named mesenchymal stromal cells [5].
The role of these enzymes in plant immunity has not yet been defined and hence will be of great interest in future.
In DisMod, remission is defined as 'cure', hence no remission is possible when modelling people with diabetes.
Clearly, and hence is defined implicity by (2.24).
