The cardinality of a set A is equal to the cardinality of a set B, denoted | A | = | B |, iff there exists a bijection from A to B. If there is an injection from A to B, the cardinality of A is less ...

If you are interested in the real-world applications of numbers, discrete mathematics may be the concentration for you. Because discrete mathematics is the language of computing, it complements the ...

$0 = {}$ $1 = \left{{}\right}$ $2 = 1 \cup {1} = \bigg{\big{{}\big}, \Big{ \big{{} \big} \Big} \bigg}$ $3 = 2 \cup {2} = \left{\bigg{\big{{}\big}, \Big{ \big{{} \big ...

This Mathematica notebook accompanies the paper, Sharp identified sets for discrete variable IV models. The notebook which is viewable in the freeware Math Player [Download Math Player]. The notebook ...

Abstract: Authors in their paper deal with the definition of individual thematic units of subjects Discrete Math 1 and Discrete Math 2 and creation of the methods of creation of e-courses for the ...

Abstract: This letter introduces a novel discrete-time control barrier function (DCBF) that stems directly from discrete-time set invariance theory. The proposed DCBF provides necessary and sufficient ...