Table of Contents
13 relations: Calculus, Complex plane, Complex quadratic polynomial, E (mathematical constant), Geometry, Limit of a sequence, Logistic map, Mandelbrot set, Number line, Parameter, Period-doubling bifurcation, Pi, Ratio.
Calculus
Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations.
See Feigenbaum's First Constant and Calculus
Complex plane
In mathematics, the complex plane is the plane formed by the complex numbers, with a Cartesian coordinate system such that the horizontal -axis, called the real axis, is formed by the real numbers, and the vertical -axis, called the imaginary axis, is formed by the imaginary numbers.
See Feigenbaum's First Constant and Complex plane
Complex quadratic polynomial
A complex quadratic polynomial is a quadratic polynomial whose coefficients and variable are complex numbers.
See Feigenbaum's First Constant and Complex quadratic polynomial
E (mathematical constant)
The number is a mathematical constant approximately equal to 2.71828 that can be characterized in many ways. Feigenbaum's First Constant and e (mathematical constant) are mathematical constants.
See Feigenbaum's First Constant and E (mathematical constant)
Geometry
Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.
See Feigenbaum's First Constant and Geometry
Limit of a sequence
As the positive integer n becomes larger and larger, the value n\times \sin\left(\tfrac1\right) becomes arbitrarily close to 1.
See Feigenbaum's First Constant and Limit of a sequence
Logistic map
The logistic map is a polynomial mapping (equivalently, recurrence relation) of degree 2, often referred to as an archetypal example of how complex, chaotic behaviour can arise from very simple nonlinear dynamical equations.
See Feigenbaum's First Constant and Logistic map
Mandelbrot set
The Mandelbrot set is a two-dimensional set with a relatively simple definition that exhibits great complexity, especially as it is magnified.
See Feigenbaum's First Constant and Mandelbrot set
Number line
In elementary mathematics, a number line is a picture of a straight line that serves as spatial representation of numbers, usually graduated like a ruler with a particular origin point representing the number zero and evenly spaced marks in either direction representing integers, imagined to extend infinitely.
See Feigenbaum's First Constant and Number line
Parameter
A parameter, generally, is any characteristic that can help in defining or classifying a particular system (meaning an event, project, object, situation, etc.). That is, a parameter is an element of a system that is useful, or critical, when identifying the system, or when evaluating its performance, status, condition, etc.
See Feigenbaum's First Constant and Parameter
Period-doubling bifurcation
In dynamical systems theory, a period-doubling bifurcation occurs when a slight change in a system's parameters causes a new periodic trajectory to emerge from an existing periodic trajectory—the new one having double the period of the original.
See Feigenbaum's First Constant and Period-doubling bifurcation
Pi
The number (spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. Feigenbaum's First Constant and Pi are mathematical constants.
See Feigenbaum's First Constant and Pi
Ratio
In mathematics, a ratio shows how many times one number contains another.
See Feigenbaum's First Constant and Ratio