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What (who) is fixed-point - definition
WIKIMEDIA DISAMBIGUATION PAGE
Fixed Point; Fixed-point; Fixed points; Fixed point (disambiguation)
fixed-point
<programming> A number representation scheme where a number,
F is represented by an integer I such that F=I*R^-P, where R is
the (assumed) radix of the representation and P is the (fixed)
number of digits after the radix point.
On computers with no floating-point unit, fixed-point
calculations are significantly faster than floating-point as
all the operations are basically integer operations.
Fixed-point representation also has the advantage of having
uniform density, i.e., the smallest resolvable difference of
the representation is R^-P throughout the representable range,
in contrast to floating-point representations.
For example, in PL/I, FIXED data has both a precision and
a scale-factor (P above). So a number declared as 'FIXED
DECIMAL(7,2)' has a precision of seven and a scale-factor of
two, indicating five integer and two fractional decimal
digits. The smallest difference between numbers will be 0.01.
(2006-11-15)
fixed point
¦ noun
1. Physics a well-defined reproducible temperature which can be used as a reference point, e.g. one defined by a change of phase.
2. [as modifier] Computing denoting a mode of representing a number by a single sequence of digits whose values depend on their location relative to a predetermined radix point.
fixed point
<mathematics> The fixed point of a function, f is any value, x
for which f x = x. A function may have any number of fixed
points from none (e.g. f x = x+1) to infinitely many (e.g. f x
= x). The fixed point combinator, written as either "fix"
or "Y" will return the fixed point of a function.
See also least fixed point.
(1995-04-13)
Wikipedia
Fixed point
Fixed point may refer to:
- Fixed point (mathematics), a value that does not change under a given transformation
- Fixed-point arithmetic, a manner of doing arithmetic on computers
- Fixed point, a benchmark (surveying) used by geodesists
- Fixed point join, also called a recursive join
- Fixed point, in quantum field theory, a coupling where the beta function vanishes – see renormalization group § conformal symmetry
Examples of use of fixed-point
1. There may also be postmortem changes in the tissue samples before analysis of animals allowed to die in their own time rather than at a fixed point.
2. This helped to inform Mrs Thatchers view that, as she put it in her memoirs: I always regarded the NHS and its basic principles as a fixed point in our policies.
3. The use of the joke in various cultures also says something about the complexity and elusiveness of ethnic identity – that ostensibly fixed point in an unstable world – and the hopeless inadequacy of the paradigms we use to discuss it.
4. They provide a cheaper and more accessible way of trading than mutual funds and unit trusts becausethey are priced like stocks and traded throughout the day rather than at a fixed point.
5. It is no wonder that she is in our dreams (one survey reportedly found that the most common British dream was of taking tea with the Queen). She exists somewhere deep in our collective consciousness, a sole fixed point in a world that has changed beyond all recognition.