We can now define a formula of $\mathcal{ L}^\Sigma}$ recursively.
We define a formula to be satisfied in a model $\langle D, I \rangle$ by an assignment $s$ recursively as follows.
Every recursively enumerable (RE) set can be defined by a formula of the latter sort; these are just the Σ01-formulas.
In all three cases, we provide two kinds of results, compact embedding and closedness, which together allow one to show that parameter spaces defined by a (Formula presented.) -norm bound are compact under a norm (Formula presented.).
Subsequently, in the coordinate system, the production possibility set, which is spanned by all the DMUs except the DMU under evaluation, is defined by a formula that can be prompted by inequalities.
The present state of all things can be defined by a formula.
The OSHA PEL was defined by a formula that included the percentage respirable silica (OSHA 2001).
In this research, we take into account the functional variety, topological complexity, and disturbance randomness of UDSs and define a new formula of resilience based on three parts of system severity, i.e. social severity affected by urban flooding, environmental severity caused by sewer overflow, and technological severity considering the safe operation of downstream facilities.
Based on the properties of these diluents, a mathematical equation was established to identify the best DC diluent and the optimum amount to be used when defining a suitable formula for direct compression, depending on the SeDeM properties of the active pharmaceutical ingredient (API) to be used.
Before the theorem, we first define a crucial formula which serves as a cornerstone in revealing the tightness of our proposed relaxed SDP problem.
