Values and then selecting the subinterval

In mathematics, the bisection method is a root-finding method that applies to any continuous function for which one knows two values with opposite signs. The method consists of repeatedly bisecting the interval defined by these values and then selecting the subinterval in which the function changes sign, and therefore must contain a root. It is a very simple and robust method, but it is also relatively slow. Because of this, it is often used to obtain a rough approximation to a solution which is then used as a starting point for more rapidly converging methods. The method is also called the interval halving method, the binary search method, or the dichotomy method.

As the first established caliphate, following the Islamic Conquest beginning in 622 AD, the Umayyads captured and occupied the former Byzantine and Sasanian Empires, from Mesopotamia to the Iberian Peninsula until 750 AD. This initial period was catalysed after the death of Muhammad, and marked the formative years of Islamic art.

Heavy industry is an industry that involves one or more characteristics such as large and heavy products; large and heavy equipment and facilities ; or complex or numerous processes. Because of those factors, heavy industry involves higher capital intensity than light industry does, and is also often more heavily cyclical in investment and employment.