Archimedes said δῶς μοι πᾶ στῶ καὶ τὰν γᾶν κινάσω, which is sometimes translated as “Give me a fixed point and I will move the world.”
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In the mathematical theory of bifurcations, a Hopf or Poincaré–Andronov–Hopf bifurcation, named after Henri Poincaré, Eberhard Hopf, and Aleksandr Andronov, is a local bifurcation in which a fixed point of a dynamical system loses stability as a pair of complex conjugate eigenvalues of the linearization around the fixed point cross the imaginary axis of the complex plane.
The fixed point attractor naturally follows from the Hopfield network.
Fixed-point decimal numbers are supported by some programming languages (such as COBOL and PL/I).
Some languages (such as COBOL and PL/I) directly support fixed-point zoned decimal values, assigning an implicit decimal point at some location between the decimal digits of a number.
In economics, Brouwer's fixed-point theorem and its extension, the Kakutani fixed-point theorem, play a central role in the proof of existence of general equilibrium in market economies as developed in the 1950s by economics Nobel prize winners Gérard Debreu and Kenneth Arrow.
JOVIAL and Coral 66 also provide both floating- and fixed-point types.
SystemC provides signed and unsigned fixed point data types.
Historically, fixed-point representations were the norm for decimal data types; for example, in PL/I or COBOL.
However, if they are needed, fixed-point numbers can be implemented even in programming languages like C and C++, which do not commonly include such support.
In 2005, an international conference on fixed point theorems was held in Dugundji's memory in Będlewo, Poland.
Larry Alex Taunton (born, May 24, 1967) is an American author, columnist, radio talk show host, and cultural commentator based out of Birmingham, Alabama who serves as the Executive Director of Fixed Point Foundation, a non-profit dedicated to the public defense of the Christian faith.
In order to provide the required high dynamic range with imperceptible luminance steps, LogLuv uses 16 bits to encode a fixed-point base2-logarithm of the luminance, which allows an EV range of nearly 128 stops.
The reference height is a geodetic, fixed point on the New Church of St. Alexander at Wallenhorst in the German state of Lower Saxony.
Kleene's recursion theorem, also called the fixed point theorem, in computability theory
The series expansion around a fixed point and the relevant convergence properties of the solution for the resulting orbit and its analyticity properties are cogently summarized by Szekeres.
Nautical stationkeeping, maintaining a seagoing vessel in a position relative to other vessels or a fixed point