Sets, Relations, FunctionsThis chapter contains the most basic ideas about sets, relations and functions.doi:10.1007/978-981-16-9661-9_3Satish Kumar JainSpringerSpringer Texts in Business and Economics
This chapter shows concrete applications of sets, functions, and relations: 1. Arrow’s Impossibility Theorem. Kenneth J. Arrow received the Nobel Prize in Economic Science in 1972, mainly for his Impossibility Theorem, from work at the RAND Corporation in 1948 [4, p. 328, footnote 1]. 2....
We introduce, develop, and apply a new approach for dealing with the intuitive notion of function, called Flow Theory. Within our framework all functions are monadic and none of them has any domain. Sets, proper classes, categories, functors, and even relations are special cases of functions....
This chapter discusses sets, relations, functions, and operations. The modern approach to the study of mathematics is to concentrate on mathematics as a system or structure, or as a collection of substructures. Four essential components are identified in a mathematical or logical system or structure...
equations salt analysis acids, bases, and salts benzene organometallic compounds atomic number and mass number more maths pythagoras theorem prime numbers probability and statistics fractions sets trigonometric functions relations and functions sequence and series multiplication tables determinants and matrices ...
equations salt analysis acids, bases, and salts benzene organometallic compounds atomic number and mass number more maths pythagoras theorem prime numbers probability and statistics fractions sets trigonometric functions relations and functions sequence and series multiplication tables determinants and matrices ...
1 Introduction and main results Throughout this paper, for a meromorphic function, the word “meromorphic” means meromorphic in the whole complex plane ℂ. Let 𝓜(ℂ) (resp. 𝓔(ℂ)) be the field of meromorphic (resp. holomorphic) functions in ℂ. The order λ(f) and the lower...
In this chapter, dedicated to set-theoretical bases of data mining, we assume that the reader is familiar with the notion of a set, membership of an element in a set, and elementary set theory. After a brief review of set-theoretical operations we discuss collections of sets, ordered pairs...
The idea of self-similarity is one of the most fundamental in the modern mathematics. The notion of “renormalization group”, which plays an essential role in quantum field theory, statistical physics and dynamical systems, is related to it. The notions
equations salt analysis acids, bases, and salts benzene organometallic compounds atomic number and mass number more maths pythagoras theorem prime numbers probability and statistics fractions sets trigonometric functions relations and functions sequence and series multiplication tables determinants and matrices ...