ORDER, COMPLEXITY & CHAOS
ORDER:
Order theory is a branch of mathematics that studies various kinds of binary relations that capture the intuitive notion of a mathematical ordering.
COMPLEXITY:
In mathematics, a complex number is a number of the form x + yi, where x and y are real numbers, and i is the imaginary unit. The real number x is called the real part of the complex number, and the real number y is the imaginary part. Real numbers may be considered to be complex numbers with an imaginary part of zero; that is, the real number x is equivalent to the complex number x+0i.
CHAOS:
In mathematics and physics, chaos theory describes the behavior of certain nonlinear dynamical systems that under specific conditions exhibit dynamics that are sensitive to initial conditions (popularly referred to as the butterfly effect). As a result of this sensitivity, the behavior of chaotic systems appears to be random, because of an exponential growth of errors in the initial conditions. This happens even though these systems are deterministic in the sense that their future dynamics are well defined by their initial conditions, and there are no random elements involved. This behavior is known as deterministic chaos, or simply chaos.