ЧТО ОЗНАЧАЕТ СЛОВО ORDINAL NUMBER
Порядковый номер
В теории множеств порядковый номер или просто порядковый номер является порядковым типом упорядоченного множества. Обычно они идентифицируются с наследственно транзитивными множествами. Ординалы - это расширение натуральных чисел, отличных от целых чисел и кардиналов. Как и другие виды чисел, ординалы могут быть добавлены, умножены и экспоненциальны. Ордены были введены Георгом Кантором в 1883 году для размещения бесконечных последовательностей и классификации наборов с определенными типами структур заказов на них. Он получил их случайно, работая над проблемой тригонометрических рядов. Два множества S и S 'имеют одинаковую мощность, если между ними существует биекция (т. Е. Существует функция f, которая является как инъективной, так и сюръективной, то есть отображает каждый элемент x из S в единственный элемент y = f (x) из S ', и каждый элемент y из S' происходит от ровно одного такого элемента x из S).
Значение слова ordinal number в словаре английский языка
Определение порядкового номера в словаре - это число, обозначающее относительное положение в последовательности, такой как первая, вторая, третья. Иногда сокращается до: ординал. Другое определение порядкового номера является мерой не только размера набора, но и порядка его элементов.
КНИГИ НА АНГЛИЙСКИЙ ЯЗЫКЕ, ИМЕЮЩЕЕ ОТНОШЕНИЕ К СЛОВУ «ORDINAL NUMBER»
Поиск случаев использования слова
ordinal number в следующих библиографических источниках. Книги, относящиеся к слову
ordinal number, и краткие выдержки из этих книг для получения представления о контексте использования этого слова в литературе на английский языке.
1
An Introduction to Analysis
Verify also that the ordinal numbers greater than a given ordinal number a are
precisely the ordinal numbers of the form a + t, t > 0, and give an example of two
nonzero ordinal numbers a and t such that t + a = a. Is it possible for t + a to be ...
Arlen Brown, Carl M. Pearcy,
1995
Call out that the class should do an “Ordinal Number Count Off.” Go down the line
pointing to students as they call off their position in line using ordinal numbers.
The student at the head of the line should say, “First.” Students continue counting
...
3
Canadian Mathematical Bulletin
If the lower central series for R is not finite, suppose that R's lower central series
has length y+n where n is a nonnegative integer and y is a limit ordinal number.
Then it is easy to see that Ry £ /nJ where ./„ is the n-th term of R's upper central ...
We begin the proof by observing that it is possible to find an ordinal number
greater than all ordinal numbers similar to a. An ordinal number B which is similar
to (P(0) will serve. Then, for each ordinal number ot similar to a, the set ot is less ...
Sums of an ordinal number of ordinal numbers are ordinal numbers, but products
of an ordinal number of ordinal numbers are not in general ordinal numbers. The
product of an ordinal number of serial numbers is a serial number, and the ...
Alfred North Whitehead, Bertrand Russell,
1927
6
The Infinite in Mathematics
greater than the ordinal number of any segment of M, and conversely the ordinal
number of any segment of M smaller than the ordinal number of M itself. The 'next
biggest' ordinal number is defined as follows : if p. is an arbitrary ordinal ...
Felix Kaufmann, Brian McGuinness,
1978
7
CRC Concise Encyclopedia of Mathematics, Second Edition
Like addition, multiplication is not commutative, but it is associative, O j Q / 1 \ An
inductive definition for ordinal multiplication states that for any ORDINAL
NUMBER a. a * 0 = 0 (2) a * (successor to beta) = a * ft + a. (3) If /? is a LIMIT
ORDINAL, ...
Let us denote by ω the ordinal number of N = {1,2,3,4,...} ordered ac- cording to
magnitude. By considering the segment Nn+1 we find n<ω for any finite n. Next
we see that ω ≤ α holds for any infinite ordinal number α. Indeed, if the infinite ...
Martin Aigner, Karl H. Hofmann, Günter M. Ziegler,
2010
An ordinal number is, by definition, a special kind of well ordered set; we proceed
to examine its special properties. The most elementary fact is that each element
of an ordinal number a is at the same time a subset of α. (In other words, every ...
10
An Introduction to the Theory of Functional Equations and ...
In view of Lemma 1.4.2 the ordinal number B + 1 has the desired property. □
Corollary 1.4.2. There does not exist the set of all ordinal numbers. Corollary 1.4.
3. For every set of ordinal numbers there exists the smallest ordinal number
which ...
Marek Kuczma, Attila Gilányi,
2008
НОВОСТИ, В КОТОРЫХ ВСТРЕЧАЕТСЯ ТЕРМИН «ORDINAL NUMBER»
Здесь показано, как национальная и международная пресса использует термин
ordinal number в контексте приведенных ниже новостных статей.
Best practices in using RESTful services
To version your API you can use a simple ordinal number and avoid decimal notations like 1.2 or 1.5, etc. The following URL shows how a ... «InfoWorld, Июл 15»
Useful Excel formulas for SEOs and Marketers
9 – this is an ordinal number which shows where the domain name starts (after the protocol). There could have been an 8 but in this case sites ... «BrainSINS Blog, Июн 15»
Why You Should Avoid AmerisourceBergen (ABC)
The last time I checked an ordinal number table, $1.5 Billion was greater than $128 Million, so you are WRONG when you state "Free cash flow ... «Seeking Alpha, Май 15»
A birth and circumcision (Part 1)
This is representative of the wider dynasty, not the small family unit, and the child will be allocated an ordinal number showing the child's ... «Today's Zaman, Май 15»
Trail Blazers get bit by Timberwolves, 82-90
First, second, third, and every other ordinal number until you get into quadruple digits… the Blazers have GOT to stop playing poorly against ... «Rip City Project, Дек 14»
We cordially invite you to the opening of Paweł Książek's solo …
Each one of the paintings includes the abbreviation “fig.” in the title and an ordinal number. More details about the artist and the exhibition can ... «NY Arts Magazine, Ноя 14»
Resurrection, brotherhood and a special assignment
“First: ordinal number: coming before all others in time or order; earliest; never previously done or occurring; coming next after a specified or ... «FinalCall.com News, Окт 14»
The Hebrew Calendar: A marvel of ancient astronomy and math
... the year was considered to begin in the spring, with each month named by its ordinal number. Thus the spring month on which Passover fell ... «Haaretz, Сен 14»
A Star Called 'Bob'? Dolphin Constellation's Weird Star Names …
As it turns out, Dnoces is the word "second" spelled backward, a reference to the ordinal number often appended to White's name (Edward ... «Space.com, Авг 14»
The 150th anniversary of Newlands' discovery of the periodic system
... range of elements in which he dropped the use of atomic weights for the elements and replaced them with an ordinal number for each one. «OUPblog, Авг 14»