CD Skripsi
Beberapa Teorema Pada Konvergensi Barisan Bilangan Interval
Development of interval numbers have shown various beliefs regarding the arith- metic and the formulas. There are several multiplication and division operations that apply to interval numbers, but those operations have the same problems such as the result of multiplying an interval number and its inverse does not produce an identity and division is undefined if several conditions are not met. To overcome this problem, a new formula is used for the multiplication and di- vision operation of interval numbers so that the result of multiplying an interval number and its inverse is identity. In this final project, several properties that apply to sequences of interval numbers are given. Those properties including addition, substraction, multiplication and division of two interval number se- quences. Properties that apply in the sequences of real numbers and properties that apply in midpoint of some interval numbers are used in order to show that some properties that apply in interval numbers sequences. Furthermore, a new formula for interval numbers with positive integers and fractional powers are also given to show the convergence of interval number sequences with positive integers and fractional powers. This new formula is given because the basic pro- perty of exponents do not apply if we use the old formula for interval numbers with positive integers.
Keywords: Interval numbers, arithmetic of interval numbers, sequences of in- terval numbers, interval numbers with positive integer powers, interval numbers with fractional powers
Tidak tersedia versi lain