In order to analyze the proximity of these gene sets to the small molecule targets as defined by STITCH, we defined a formula for the distance between a gene and a small molecule in terms of a network, and, more generally, between a set of genes and a small molecule (see below).
Before the theorem, we first define a crucial formula which serves as a cornerstone in revealing the tightness of our proposed relaxed SDP problem.
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.
To analyze the properties of these subsequences, we define a reference formula: where s is a subsequence, K is a set of hash keys, and the coefficient a represents the number of subsequences that are referred to by K and whose distance from s is b.
An easy way to define a milestone-based formula for startups that are likely to require venture funding would be to base the formula on the valuation of the company at the various financing rounds.
Their volumetric and mechanical characteristics were evaluated for several binder contents to define a job mix formula for real scale testing.
For the sake of argument, let's grant that the Skolemite has shown that our set-theoretic notions are relative and that, for every kind of set that we can define with a formula, there is an instance of this kind of set which is only countable.
These ranking formulas can be summarized in Table 5 where each formula defines an expression (P(i_j|q)) for ranking an image (i_j) with regard to a query (q) and the textual evidence extracted from the Web pages containing the images in the database.
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.
