As is known to all, the proverbial
fixed-point theorem of Banach has been widely used in many branches of mathematics and physics.
The primary object of study, which we shall call the
fixed-point set of f/p, is the coincidence set of the pair.
Kakutani, A generalization of Brouwer's
fixed-point theorem, Duke Math.
Petrot, "Set-valued
fixed-point theorems for generalized contractive mappings without the Hausdorff metric," Applied Mathematics Letters, vol.
step function,
fixed-point, iteration map, Newton map, Halley map, sieve of Eratosthenes
In the
fixed-point iteration method for solving nonlinear equation f(x)=0, the equation is usually rewritten as
Stojiljkovic: Common
fixed-point results for nonlinear contractions in ordered partial metric spaces, Fixed Point Theory Appl., 2011, 2011:71.
Tarafdar, "An approach to
fixed-point theorems on uniform spaces," Transactions of the American Mathematical Society, vol.
The output of the thermocouple (in volts) can then be plotted against the known temperature of the
fixed-point cell as it is melting (or freezing), which gives a reference output against which the thermocouple readings can be calibrated.
The most convincing method is to convert the
fixed-point inputs into IEEE 754 floating point numbers first.