reals - определение. Что такое reals
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Что (кто) такое reals - определение

Tarski axiomatization of the reals
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Real         
WIKIMEDIA DISAMBIGUATION PAGE
Reals; Real (currency); Real (coin); Real (song); Real (disambiguation); Reales; Real (album); REAL; Real (EP); Real (film); Real (surname)
·adj Royal; regal; kingly.
II. Real ·noun A Realist.
III. Real ·adj Relating to things, not to persons.
IV. Real ·adj Having an assignable arithmetical or numerical value or meaning; not imaginary.
V. Real ·adj Actually being or existing; not fictitious or imaginary; as, a description of real life.
VI. Real ·noun A small Spanish silver coin; also, a denomination of money of account, formerly the unit of the Spanish monetary system.
VII. Real ·adj True; genuine; not artificial, counterfeit, or factitious; often opposed to ostensible; as, the real reason; real Madeira wine; real ginger.
VIII. Real ·adj Pertaining to things fixed, permanent, or immovable, as to lands and tenements; as, real property, in distinction from personal or movable property.
real         
WIKIMEDIA DISAMBIGUATION PAGE
Reals; Real (currency); Real (coin); Real (song); Real (disambiguation); Reales; Real (album); REAL; Real (EP); Real (film); Real (surname)
Frequency: The word is one of the 700 most common words in English.
1.
Something that is real actually exists and is not imagined, invented, or theoretical.
No, it wasn't a dream. It was real...
Legends grew up around a great many figures, both real and fictitious.
? imaginary
ADJ
2.
If something is real to someone, they experience it as though it really exists or happens, even though it does not.
Whitechild's life becomes increasingly real to the reader.
ADJ: usu v-link ADJ, oft ADJ to n
3.
A material or object that is real is natural or functioning, and not artificial or an imitation.
...the smell of real leather...
Who's to know if they're real guns or not?...
= genuine
ADJ: usu ADJ n
4.
You can use real to describe someone or something that has all the characteristics or qualities that such a person or thing typically has.
...his first real girlfriend...
The only real job I'd ever had was as manager of the local cafe.
= proper
ADJ: ADJ n
5.
You can use real to describe something that is the true or original thing of its kind, in contrast to one that someone wants you to believe is true.
This was the real reason for her call...
Her real name had been Miriam Pinckus.
= true
ADJ: ADJ n
6.
You can use real to describe something that is the most important or typical part of a thing.
When he talks, he only gives glimpses of his real self...
The smart executive has people he can trust doing all the real work.
ADJ: ADJ n
7.
You can use real when you are talking about a situation or feeling to emphasize that it exists and is important or serious.
Global warming is a real problem...
The prospect of civil war is very real...
There was never any real danger of the children being affected...
ADJ: usu ADJ n [emphasis]
8.
You can use real to emphasize a quality that is genuine and sincere.
Germany has shown real determination to come to terms with the anti-Semitism of its past.
ADJ: ADJ n [emphasis]
9.
You can use real before nouns to emphasize your description of something or someone. (mainly SPOKEN)
'It's a fabulous deal, a real bargain.'
ADJ: ADJ n [emphasis]
10.
The real cost or value of something is its cost or value after other amounts have been added or subtracted and when factors such as the level of inflation have been considered.
...the real cost of borrowing.
= actual, net
ADJ: ADJ n
You can also talk about the cost or value of something in real terms.
In real terms the cost of driving is cheaper than a decade ago...
PHRASE: PHR with cl
11.
You can use real to emphasize an adjective or adverb. (AM INFORMAL)
He is finding prison life 'real tough'...
= really
ADV: ADV adj/adv [emphasis]
12.
If you say that someone does something for real, you mean that they actually do it and do not just pretend to do it.
The sex scenes were just good acting. We didn't do it for real.
PHRASE: usu PHR after v
13.
If you think that someone or something is very surprising, you can ask if they are for real. (AM INFORMAL)
Is this guy for real?
PHRASE: v-link PHR
14.
If you say that a thing or event is the real thing, you mean that it is the thing or event itself, rather than an imitation or copy.
The counterfeits sell for about $20 less than the real thing...
PHRASE
real         
WIKIMEDIA DISAMBIGUATION PAGE
Reals; Real (currency); Real (coin); Real (song); Real (disambiguation); Reales; Real (album); REAL; Real (EP); Real (film); Real (surname)
Really, just quicker to say.
I miss u so much, I real wanna see u.
real         
WIKIMEDIA DISAMBIGUATION PAGE
Reals; Real (currency); Real (coin); Real (song); Real (disambiguation); Reales; Real (album); REAL; Real (EP); Real (film); Real (surname)
a.
1.
Actual, veritable, substantial, substantive, absolute, positive, certain, actually being or existing.
2.
True, genuine, authentic.
3.
Intrinsic, internal, essential.
real         
WIKIMEDIA DISAMBIGUATION PAGE
Reals; Real (currency); Real (coin); Real (song); Real (disambiguation); Reales; Real (album); REAL; Real (EP); Real (film); Real (surname)
1. Not simulated. Often used as a specific antonym to virtual in any of its jargon senses. 2. <mathematics> real number. [Jargon File] (1997-03-12)
real         
WIKIMEDIA DISAMBIGUATION PAGE
Reals; Real (currency); Real (coin); Real (song); Real (disambiguation); Reales; Real (album); REAL; Real (EP); Real (film); Real (surname)
real1 [ri:l]
¦ adjective
1. actually existing or occurring in fact; not imagined or supposed.
Philosophy relating to something as it is, not merely as it may be described or distinguished.
2. not artificial or made in imitation of something; genuine.
rightly so called; proper: he's my idea of a real man.
3. significant; serious: a real danger.
4. adjusted for changes in the value of money; assessed by purchasing power.
5. Mathematics (of a number or quantity) having no imaginary participle
6. Optics (of an image) such that the light that forms it actually passes through it; not virtual.
¦ adverb informal, chiefly N. Amer. really; very.
Phrases
for real informal used to emphasize that something is genuine or serious.
Derivatives
realness noun
Origin
ME (as a legal term meaning 'relating to things, especially real property'): from Anglo-Norman Fr., from late L. realis, from L. res 'thing'.
--------
real2 [re?'?:l]
¦ noun
1. the basic monetary unit of Brazil since 1994, equal to 100 centavos.
2. a former coin and monetary unit of various Spanish-speaking countries.
Origin
Sp. and Port., lit. 'royal' (adjective used asnoun).
Tarski's axiomatization of the reals         
In 1936, Alfred Tarski set out an axiomatization of the real numbers and their arithmetic, consisting of only the 8 axioms shown below and a mere four primitive notions: the set of reals denoted R, a binary total order over R, denoted by infix <, a binary operation of addition over R, denoted by infix +, and the constant 1.
Portuguese real         
  • King João III]]'s (1521–1557) reigns were discovered during an excavation near the Malacca River mouth by W. Edgerton, Resident Councilor of Malacca, in 1900.
  • King Manuel II of Portugal]], 1909.
CURRENCY OF PORTUGAL FROM C. 1430 UNTIL 1911
Portuguese Real; Contos de réis; Conto de réis; Portuguese reals; Portuguese cruzados; Portuguese cruzado; Rei (currency)
The real (, meaning "royal", plural: réis or [archaic] reais) was the unit of currency of Portugal and the Portuguese Empire from around 1430 until 1911. It replaced the dinheiro at the rate of 1 real = 840 dinheiros and was itself replaced by the escudo (as a result of the Republican revolution of 1910) at a rate of 1 escudo = 1000 réis.
Set theory of the real line         
Set theory of the real line is an area of mathematics concerned with the application of set theory to aspects of the real numbers.
Computable number         
  • π]] can be computed to arbitrary precision, while [[almost every]] real number is not computable.
REAL NUMBER THAT CAN BE COMPUTED TO WITHIN ANY DESIRED PRECISION BY A FINITE, TERMINATING ALGORITHM
Computable numbers; Recursive number; Recursive numbers; Uncomputable number; Non-computable numbers; Noncomputable number; Non-computable number; Computable real; Computable real number; Computable reals; Uncomputable numbers; Uncomputable real number
In mathematics, computable numbers are the real numbers that can be computed to within any desired precision by a finite, terminating algorithm. They are also known as the recursive numbers, effective numbers or the computable reals or recursive reals.

Википедия

Tarski's axiomatization of the reals

In 1936, Alfred Tarski set out an axiomatization of the real numbers and their arithmetic, consisting of only the 8 axioms shown below and a mere four primitive notions: the set of reals denoted R, a binary total order over R, denoted by infix <, a binary operation of addition over R, denoted by infix +, and the constant 1.

The literature occasionally mentions this axiomatization but never goes into detail, notwithstanding its economy and elegant metamathematical properties. This axiomatization appears little known, possibly because of its second-order nature. Tarski's axiomatization can be seen as a version of the more usual definition of real numbers as the unique Dedekind-complete ordered field; it is however made much more concise by using unorthodox variants of standard algebraic axioms and other subtle tricks (see e.g. axioms 4 and 5, which combine the usual four axioms of abelian groups).

The term "Tarski's axiomatization of real numbers" also refers to the theory of real closed fields, which Tarski showed completely axiomatizes the first-order theory of the structure 〈R, +, ·, <〉.