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Meaning of "totient" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF TOTIENT

totient  [ˈtəʊʃənt] play
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GRAMMATICAL CATEGORY OF TOTIENT

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Totient is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES TOTIENT MEAN IN ENGLISH?

Euler's totient function

In number theory, Euler's totient or phi function, φ, is an arithmetic function that counts the totatives of n, that is, the positive integers less than or equal to n that are relatively prime to n. Thus, if n is a positive integer, then φ is the number of integers k in the range 1 ≤ kn for which gcd = 1. The totient function is a multiplicative function, meaning that if two numbers m and n are relatively prime, then φ = φφ. For example let n = 9. Then gcd = gcd = 3 and gcd = 9. The other six numbers in the range 1 ≤ k ≤ 9, that is 1, 2, 4, 5, 7 and 8 are relatively prime to 9. Therefore, φ = 6. As another example, φ = 1 since gcd = 1. The totient function is important mainly because it gives the order of the multiplicative group of integers modulo n. See Euler's theorem. The totient function also plays a key role in the definition of the RSA encryption system.

Definition of totient in the English dictionary

The definition of totient in the dictionary is a quantity of numbers less than, and sharing no common factors with, a given number.

WORDS THAT RHYME WITH TOTIENT


ancient
ˈeɪnʃənt
coefficient
ˌkəʊɪˈfɪʃənt
conscient
ˈkɒnʃənt
couchant
ˈkaʊtʃənt
deficient
dɪˈfɪʃənt
efficient
ɪˈfɪʃənt
etchant
ˈɛtʃənt
immunodeficient
ˌɪmjʊnəʊdɪˈfɪʃənt
impatient
ɪmˈpeɪʃənt
inconscient
ɪnˈkɒnʃənt
inefficient
ˌɪnɪˈfɪʃənt
inpatient
ˈɪnˌpeɪʃənt
insufficient
ˌɪnsəˈfɪʃənt
merchant
ˈmɜːtʃənt
outpatient
ˈaʊtˌpeɪʃənt
patient
ˈpeɪʃənt
perficient
pəˈfɪʃənt
proficient
prəˈfɪʃənt
quotient
ˈkwəʊʃənt
sufficient
səˈfɪʃənt

WORDS THAT BEGIN LIKE TOTIENT

totem pole
totemic
totemically
totemism
totemist
totemistic
totemite
toter
totes
tother
totipalmate
totipalmation
totipotency
totipotent
totitive
totted
totter
totterer
tottering
totteringly

WORDS THAT END LIKE TOTIENT

achievement quotient
assentient
balbutient
cancer patient
client
consentient
cosentient
discutient
dissentient
heartsink patient
insentient
intelligence quotient
omnipatient
panel patient
percutient
presentient
private patient
respiratory quotient
sentient
volitient

Synonyms and antonyms of totient in the English dictionary of synonyms

SYNONYMS

Translation of «totient» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF TOTIENT

Find out the translation of totient to 25 languages with our English multilingual translator.
The translations of totient from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «totient» in English.

Translator English - Chinese

欧拉
1,325 millions of speakers

Translator English - Spanish

totient
570 millions of speakers

English

totient
510 millions of speakers

Translator English - Hindi

totient
380 millions of speakers
ar

Translator English - Arabic

totient
280 millions of speakers

Translator English - Russian

totient
278 millions of speakers

Translator English - Portuguese

totiente
270 millions of speakers

Translator English - Bengali

totient
260 millions of speakers

Translator English - French

totient
220 millions of speakers

Translator English - Malay

Sama sekali
190 millions of speakers

Translator English - German

totient
180 millions of speakers

Translator English - Japanese

トーティエント
130 millions of speakers

Translator English - Korean

totient
85 millions of speakers

Translator English - Javanese

Kabeh
85 millions of speakers
vi

Translator English - Vietnamese

totient
80 millions of speakers

Translator English - Tamil

totient
75 millions of speakers

Translator English - Marathi

योगायोग
75 millions of speakers

Translator English - Turkish

totient
70 millions of speakers

Translator English - Italian

totient
65 millions of speakers

Translator English - Polish

totient
50 millions of speakers

Translator English - Ukrainian

totient
40 millions of speakers

Translator English - Romanian

totient
30 millions of speakers
el

Translator English - Greek

totient
15 millions of speakers
af

Translator English - Afrikaans

totient
14 millions of speakers
sv

Translator English - Swedish

totient
10 millions of speakers
no

Translator English - Norwegian

totient
5 millions of speakers

Trends of use of totient

TRENDS

TENDENCIES OF USE OF THE TERM «TOTIENT»

The term «totient» is normally little used and occupies the 142.018 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
34
/100
The map shown above gives the frequency of use of the term «totient» in the different countries.
Principal search tendencies and common uses of totient
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «totient».

FREQUENCY OF USE OF THE TERM «TOTIENT» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «totient» during the past 500 years. Its implementation is based on analysing how often the term «totient» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about totient

EXAMPLES

10 ENGLISH BOOKS RELATING TO «TOTIENT»

Discover the use of totient in the following bibliographical selection. Books relating to totient and brief extracts from same to provide context of its use in English literature.
1
Lukasiewicz's Logics and Prime Numbers
(inverse. Euler's. totient. function). Linked with the above-mentioned partitioning of Łukasiewicz logics Łn+1 is the problem of constructing an equivalence class Xp+1 for an arbitrary precomplete logic Łp+1. To solve this problem, we need a ...
Alexander Karpenko, 2006
2
C++ for Mathematicians: An Introduction for Students and ...
In the case of our new totient procedure, we use the values housed in the array primes, but we do not alter them. The const qualifier asserts that the procedure totient does not modify any element in the array primes. Although the procedure ...
Edward Scheinerman, 2006
3
The Collected Mathematical Papers of James Joseph Sylvester
which may be called the quadri-totient to г, and is the product of two factors, one the totient of г and the other what that totient becomes when + 1 is substituted throughout for — 1 in its expression, and which, if a name were needed for it, might ...
James Joseph Sylvester, 2008
4
CRC Concise Encyclopedia of Mathematics, Second Edition
3004 Totient Function Totient Valence Function n(k) is the MOBIUS FUNCTION, f( z) is the RIEMANN ZETA FUNCTION, and y is the EULER-MASCHERONI CONSTANT (Dickson). A can also be written w I •Hi1 (24) Note that this constant is ...
Eric W. Weisstein, 2002
5
The Theory of Numbers: An Introduction
Definition. A function fesf is called a totient if and only if f=g-h', where g is completely multiplicative and hi is the inverse of a completely multiplicative function. EXERClSES 10-1. Show that 0l is a totient. 10-2. If/ is a totient, then fe M 10-3.
Anthony A. Gioia, 2001
6
Multiplicative Functions: Carmichael's Totient Function ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.
Source Wikipedia, 2013
7
Biscuits of Number Theory
We will be better able to understand symmetries in tractions with prime denominators with the aid of the Euler totient function. Denoted <p(n), this function takes as input a positive integer n and produces as output the number of positive ...
Arthur T. Benjamin, Ezra Brown, 2009
8
Handbook of Number Theory I
On Euler's totient function (n). Math. Student 18 (1950), 31–32 (1951.) 2) The sequence ( (n+ 1) ) is dense in (0,+∞) (n) A. Schinzel. Generalization of a theorem of B.S.K.R. Somayajulu on the Euler's function (n). Ganita 5 (1954), 123– 128.
József Sándor, Dragoslav S. Mitrinovic, B. Crstici, 2006
9
Number Theory: Natural Number, Euler's Totient Function, ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.
Source: Wikipedia, Books, LLC, Books Group, 2011
10
104 Number Theory Problems: From the Training of the USA IMO ...
Totient. Function. We discuss some useful properties of Euler's totient function φ ... Hence φ(ab) = φ(a)φ(b) for relatively prime integers ab. □ Theorem 1.33. If n = p"1 □ □ □ p"k 1. Foundations of Number Theory 33 Euler's Totient Function.
Titu Andreescu, Dorin Andrica, Zuming Feng, 2007

7 NEWS ITEMS WHICH INCLUDE THE TERM «TOTIENT»

Find out what the national and international press are talking about and how the term totient is used in the context of the following news items.
1
Pattaya Mail turns over two little ducks
This means that the sum of the totient function for the first eight integers is 22. Thus 22 is a Perrin number, preceded in the sequence by 10, 12, 17. And please ... «Pattaya Mail, Jul 15»
2
Rafe Spall: Pretending to be a maths genius was easy
"I didn't make [the formula] up, it was called Euler's totient. I don't know who Euler was and I don't know what his totient meant. I could parrot write it." While that ... «TV3.ie, Mar 15»
3
What Scientism Is, And Is Not
... allowing no nontrivial, non-empirical abstractions can simply never meet this goal, and we have proof of this fact that is as clear as the proof that the totient of a ... «The American Conservative, May 14»
4
Trigonometri'nin Mimarı 'Leonhard Euler'
Sayı teorisinde totient fonksiyonunu buldu. Pozitif tamsayı n' in totient' i φ(n) , ''n''' e eşit ya da küçük pozitif tamsayılar ve “n” ile asal olan sayıların sayısı olarak ... «Haberciniz, Apr 13»
5
The Insert Sum Here Puzzle
The answer to our original question is indeed the “Euler phi function” or “totient function” of 2013, which means there are 1200 copies of 2013 to be found in the ... «New York Times, Jan 13»
6
Freeman Dyson's 4th-Grade Math Puzzle
MW, muttering something about Lagrange Transforms and Euler's Totient function, absent-mindedly walks from the back of the line to the front. Dyson: ... «New York Times, Apr 09»
7
A High-Falutin Expression
It is also “a zero of the Mertens function and is sparsely totient.” That last bit means nothing to my small English major brain and I suspect it doesn't have anything ... «The Santa Barbara Independent, Apr 07»

REFERENCE
« EDUCALINGO. Totient [online]. Available <https://educalingo.com/en/dic-en/totient>. May 2024 ».
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