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What (who) is least fixed point - definition
Greatest fixed point; Least fixpoint; Greatest fixpoint
least fixed point
<mathematics> A function f may have many fixed points (x
such that f x = x). For example, any value is a fixed point
of the identity function, ( x . x).
If f is recursive, we can represent it as
f = fix F
where F is some higher-order function and
fix F = F (fix F).
The standard denotational semantics of f is then given by
the least fixed point of F. This is the least upper bound
of the infinite sequence (the ascending Kleene chain)
obtained by repeatedly applying F to the totally undefined
value, bottom. I.e.
fix F = LUB bottom, F bottom, F (F bottom), ....
The least fixed point is guaranteed to exist for a
continuous function over a cpo.
(2005-04-12)
Least fixed point
In order theory, a branch of mathematics, the least fixed point (lfp or LFP, sometimes also smallest fixed point) of a function from a partially ordered set to itself is the fixed point which is less than each other fixed point, according to the order of the poset. A function need not have a least fixed point, but if it does then the least fixed point is unique.
Fixed float
COMPUTER FORMAT FOR REPRESENTING REAL NUMBERS
Fixed Precision; Fixed point (computing); Fixed point arithmetic; Fixed point numbers; Fixed point number; Fixed-point math; Binary scaling; Fixed precision; Fixed-point number; Fixed float; User:Rahul.deshmukhpatil/Fixed float; Fixed-precision arithmetic; Hardware support for fixed-point arithmetic; Power-of-two scaling; Power-of-2 scaling; Binary-point scaling; Binary-point-only scaling; B notation (fixed point format); B notation (binary scaling); B-notation (fixed point format); B-notation (binary scaling)
In computing, fixed float describes a method of representing real numbers in a way that number and decimal point value is stored at different location or bytes in a memory allocated to variable unlike floating point. In a typical 4 byte (on little endian platform) fixed float number lower(lsb) 2 bytes are used to store the decimal part of the number just like integer value.
Wikipedia
Least fixed point
In order theory, a branch of mathematics, the least fixed point (lfp or LFP, sometimes also smallest fixed point) of a function from a partially ordered set to itself is the fixed point which is less than each other fixed point, according to the order of the poset. A function need not have a least fixed point, but if it does then the least fixed point is unique.
