In general, the mathematical notation as well as the language in general needs a bit of work.
In the 9th century, the Persian mathematician Muhammad ibn Mūsā al-Khwārizmī used the terms mal for a square and kab for a cube, which later Islamic mathematicians represented in mathematical notation as m and k, respectively, by the 15th century, as seen in the work of Abū al-Hasan ibn Alī al-Qalasādī.
In addition, we use a similar model and incorporate mathematical notation as presented in Jiang et al. to maintain some level of consistency between both studies.
Visual formalisms merge the rigor of mathematical notations with the naturality of graphic representation.
We will first define some abbreviations which ease mathematical notations below and use θ = { P, Π, G1,.., G K, I1,1,.
Mathematical notations are defined as the following: Π is the set of genes in the reference PPI database; i and j are PAG indexes; I i or I j is the set of PPIs in PAG i and PAG j, respectively; IΠ is the set of all PPIs in the referenced database; T i or T j is the set of PPI triangles in PAG i and PAG j, respectively given IΠ; TΠ is the set of all PPI triangles in Π.
Mathematical notations used in this paper are as follows.
Its functional nature invites the development of interpreters for higher-level domain specific languages, including some that mimic mathematical notation, such as coffeesript http://coffeescript.org.
Notation We list some mathematical notations used throughout this paper as follows.
Mathematical notations used in this paper are as follows: x and X are scalar variables; x and X are vector and matrix variables, respectively; H is the conjugate transpose.
