This is the kind of "mathematical thinking" referred to in the title of the book: "the extension of common sense by other means". Ellenberg's talent for finding real-life situations that enshrine mathematical principles would be the envy of any math teacher.
Or, it could be, like Schrodinger's Cat, (a mathematical problem referred to in the Coen movie) in a state of being simultaneously alive and dead.
Erosion is interpreted as the locus of points reached by the center of B when B moves inside A. In our approach, we combine the two operations, which is referred to in mathematical morphology as opening: the erosion of A by B, followed by dilation of the result by B. gamma_{B}(A) = A circ B = (A ominus B) oplus B (11).
According to the applied mathematical statement, if there were structures satisfying the conjunction of the axioms of Zermelo set theory Z including some non-mathematical objects referred to in U, A would hold in such structures.
As a branch of mathematical analysis, the q-difference calculus has developed into a demonstrated popular tool for the description of experimental data refer to the mathematical model.
First-order differences (FODs) refer to the mathematical difference between each randomly generated number and the previous response.
This knowledge in general has been referred to as "mathematical knowledge for teaching" or MKT (Ball et al. 2005; Ball et al. 2008; Hill and Ball 2004); the expert version of MKT was called "Profound Understanding of Fundamental Mathematics" (PUFM) by Ma (2010).
Note that we use the expression 'node-i' when it is used in a sentence; however, we use only 'i' when it is used within a mathematical expression or when we need to refer to the indices of mathematical expressions in the narrative.
In this section, the models are outlined; for a detailed mathematical description, implementation details, and parameter choices (Table S1), the reader is referred to the methods described in the Supporting Information.
This body may be referred to as mathematical theory.
