Sentence examples for mathematical notations are from inspiring English sources

All the mathematical notations are summarized in Table 1.

The mathematical notations are illustrated in Section 2. Section 3 describes the competitive communication spectrum market considered in this study.

Thus, mathematical notations are designed to tap into pre-existing perceptual biases, grouping related elements according to Gestalt principles (Wagemans et al., 2012), and these design choices have cognitive benefits.

Mathematical notations are given in Supplementary Material.

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.

At the language level, to upgrade the expressive power, a natural syntax (context-dependent), which completely adopts mathematical notations, is designed.

In addition to accents and other diacritical marks, the prime and double-prime marks (often confused with inch and foot marks) used in science and mathematical notation are available.

Data modeling and their properties, with the B language based on mathematical notation, is essentially based on theory of sets.

Carl Boyer notes that various concepts that lead to analytic geometry are found for the first time in the Geometry, and that the Geometry's mathematical notation is still used today.

He went on to become a tenured full professor in math, start a program in computer science, and devise a manual code for recording mathematical notation that has permitted countless visually impaired people to succeed in math and other fields where mathematical notation is required.  .

end{aligned} The condition, (sum _{iin mathbf {N}}pi _{i}=gamma ) for (x>0,) is called the Samuelson's Condition.4 Conventional mathematical notation is used throughout in the same manner as in Sato (2012).