ABSTRACT
Space and Its Application to Economics Problems ....................... 16 1.3.1 Theorem 1 .......................................................................... 16 1.3.2 Proof ................................................................................... 17
1.3.3 Example 1 .......................................................................... 18 1.3.4 Theorem 2 .......................................................................... 20 1.3.5 Proof ................................................................................... 20 1.3.6 Example 2 .......................................................................... 23 1.3.7 Theorem 3 .......................................................................... 28 1.3.8 Proof ................................................................................... 28 1.3.8 Example 3 .......................................................................... 29 1.3.9 Theorem 4 .......................................................................... 31 1.3.10 Proof ................................................................................. 31 Keywords ................................................................................................ 33 References ............................................................................................... 33
1.1 VECTOR SPACES AND THEIR PROPERTIES
1.1.1 FIELD
We preliminarily have given the definition to the number class, for example, to the class of real numbers or to the class of complex numbers. In order not to be restricted by any concrete class, we use the name of the numbers accepted in references, scalars. Below given are the general information on scalars which are divided into three groups of conditions: A, B, and C. [1].
