iteracije

Iterations refer to the process of repeating a sequence of operations or steps in a systematic manner. This concept is fundamental in various fields such as computer science, mathematics, and engineering. In computer science, iterations are commonly used in loops, where a block of code is executed repeatedly based on a given condition. For example, a "for" loop iterates over a range of values, while a "while" loop continues as long as a specified condition remains true. In mathematics, iterations are employed in iterative algorithms to approximate solutions to complex problems. For instance, the Newton-Raphson method uses iterations to find successively better approximations to the roots (or zeroes) of a real-valued function. In engineering, iterative processes are used in design and optimization, where a system or design is refined through successive cycles of testing and improvement. Iterations are also prevalent in iterative deepening, a search algorithm used in artificial intelligence, where the search depth is gradually increased until a solution is found. The efficiency and effectiveness of iterations depend on the initial conditions, the convergence criteria, and the computational resources available. Properly designed iterations can significantly enhance problem-solving capabilities and optimize performance in various applications.