Real[sig, exp]
A floating point Real number consists of a signed exponent, exp, and a signed significand, sig.
Both the significand and the exponent are binary Strings which can be interpreted as Integers.
Real[Time][expr_Expression]
...returns an Expression with the form...
realTimeValue[evaluatedExpr]
...where realTimeValue is a Real value that is the
timein Seconds required to
evaluate expr to its result,
evaluatedExpr.
See definition for "real number".
Real numbers have floating point representations.
A floating point Real number may be represented as a decimal string with portions to the left and right of a decimal point.
A floating point Real number consists of a signed exponent and a signed significand. Both the significand and the exponent are binary Strings of arbitrary length which can be interpreted as (signed) Integers.
(1) Real[sig_ BinaryString, exp_ BinaryString]
The significand, sig, is a signed binary String representing the Real number's significant bits. The exponent, exp, is a signed binary String representing the position of the Real number's floating point counted rightward from the most significant bit of the significand. A negative exp counts leftward from the most significant bit of the significand.
The binary string representing the
significand, and the exponent can be represented as
decimal
Integers. For
example,
Real[131, 2] represents 13.1
or Real[625, 0] represents 0.625
or Real[125, -1] represents .0125
The above examples use base-ten Cardinal number Strings as the Real arguments. Internally, the two arguments are binary strings. Normally, (with the Standard ASCII Rule Set), Grok32` displays and inputs floating point numbers as decimals or in scientific notation without the Real keyword (which is presumed).
If n is a positive Real, a negative Real is formed as follows:
(2) Not[n]
The above negation is sometimes called the "unary minus".
(3) Real[Time][expr_Expression]
...returns an Expression with the form...
realTimeValue[evaluatedExpr]
...where realTimeValue is a Real value that is the time in Seconds required to evaluate expr to its result, evaluatedExpr.
Unlike CardinalTime, the RealTime of an Expression evaluation measures the time in seconds from input to the output of the evaluated result. By design, this will depend on the processor's hardware and software configuration. The object of RealTime is to provide a measure of the actual time required to implement an algorithm on a "real-world" machine burdened with competing chores.
Generally speaking, the results returned by an algorithm's
RealTime will vary on the same
machine depending on the priority given to other processes
competing for processor cycles. By knowing the time increment
of processor cycles and the
CardinalTime of an algorithm, it
is possible to prioritize threads to guarantee that a deterministic
algorithm will be executed within a specific RealTime.
real number n.
An ordinary number either rational or irrational; a number in which there is no imaginary part; a number generated from the single unit, 1; any point in the continuum of natural numbers filled in with all rationals and all irrationals and extended indefinitely both positively and negatively;
real adj.
1. Existent as a thing, state, or quality; having actuality as an occurrence; as, real events, feelings, life.
Forms more real than living man. Shelly.
2. Genuine; not artificial, counterfeit, or factitious; -- often opposed to ostensible; as, the real reason; real Madeira wine; real ginger; a real falsehood; real dignity.
3. Sincere; unaffected; void of pretense.
If his intentions were real. Clarendon.
4. Relating to things or events, esp. to physical things rather then to persons or opinions; also, formerly, consisting of physical things; as, a real offering.
5. Properly so called in distinction from that which is similar or adjunct; as, the real womb; actual.
The king's real, or stamped face. Donne.
6. Representing reality; corresponding to what is; true.
7. Pertaining to the German Realschule.
8. Obs. a Essential or important. b Ideographic. c Loyal; faithful; true.
9. Lacemaking. Handmade, as opp. to machine-made.
10. Law. a Of or pert. to things themselves; involving or pertaining to a jus in re or in rem; as, a real action (see in phrases); a real, or praedial, servitude; a real right; real privileges; etc.; -- opp. to personal.
b Designating a contract or contracts accompanied by a delivery of the object concerned; --opposed to consensual.
c Specif.: Eng. & Amer. Law. Pertaining to, or consisting of, things fixed, permanent or immovable, as lands and tenements; as, real property, in distinction from personal property. See PERSONAL PROPERTY.
11. Logic. significant; conveying information; not merely verbal or formal; as, a real proposition.
12. Math. Having no imaginary part. See REAL NUMBER.
13. Music. Exact as regards repetition or intervals; as, a real fuge, one in which the answer gives an exact transposition of the subject; --distinguished from tonal.
14. Philos. a Actually being or existing; of the nature of fact; belonging to the order of nature; actual, as distinguished from fictitious or imaginary, or the ideal.
My suggesting would be, that anything which possesses any sort of power to affect another, or to be affected by another & has real existence. Jowett (Plato)
b Self-existent or pertaining to the self-existent; absolute, as opposed to derivative or dependent; fundamental and ultimate, as opposed to merely apparent or phenomenal; Intrinsic and of the essence, as opposed to nominal or relative.
When we speak of a thing as real, we imply that it is complete and self-existent. B. Bosanquet.
(c) 2004-2007 by
John Van Wie Bergamini.
All rights reserved.