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Function in mathematical number theory
In number theory, a branch of mathematics, the Carmichael function λ(n) of a positive integer n is the smallest positive integer m such that a m ≡ 1 (
Carmichael_function
Problem in number theory on equal totients
In mathematics, Carmichael's totient function conjecture concerns the multiplicity of values of Euler's totient function φ ( n ) {\displaystyle \varphi
Carmichael's totient function conjecture
Carmichael's_totient_function_conjecture
Number of integers coprime to and less than n
the product of the first 120569 primes. Carmichael function (λ) Dedekind psi function (𝜓) Divisor function (σ) Duffin–Schaeffer conjecture Generalizations
Euler's_totient_function
Mangoldt function, Λ(n) = log p if n is a positive power of the prime p Carmichael function: λ ( n ) = {\displaystyle \lambda (n)=} The smallest integer m {\displaystyle
List of mathematical functions
List_of_mathematical_functions
Function whose domain is the positive integers
a_{k}\;\land \;n=a_{1}+a_{2}+\cdots +a_{k}\right\}\right|.} λ(n), the Carmichael function, is the smallest positive number such that a λ ( n ) ≡ 1 ( mod n
Arithmetic_function
Topics referred to by the same term
function, λ(τ), a highly symmetric holomorphic function on the complex upper half-plane Carmichael function, λ(n), in number theory and group theory Lambda
Lambda_function
Trinbagonian-American activist (1941–1998)
(/ˈkwɑːmeɪ ˈtʊəreɪ/ KWAH-may TOOR-ay; born Stokely Standiford Churchill Carmichael; June 29, 1941 – November 15, 1998) was a Trinidadian and American activist
Stokely_Carmichael
Composite number in number theory
In number theory, a Carmichael number is a composite number n {\displaystyle n} which in modular arithmetic satisfies the congruence relation: b n
Carmichael_number
Pseudorandom number generator
}}(M)}\right){\bmod {M}}} , where λ {\displaystyle \lambda } is the Carmichael function. (Here we have λ ( M ) = λ ( p ⋅ q ) = lcm ( p − 1 , q − 1 ) {\displaystyle
Blum_Blum_Shub
Decimal representation of a number whose digits are periodic
factor of λ(49) = 42, where λ(n) is known as the Carmichael function. This follows from Carmichael's theorem which states that if n is a positive integer
Repeating_decimal
Arithmetical function
Jordan's totient function, denoted as J k ( n ) {\displaystyle J_{k}(n)} , where k {\displaystyle k} is a positive integer, is a function of a positive integer
Jordan's_totient_function
American mathematician (1879–1967)
although they are not primes), Carmichael's totient function conjecture, Carmichael's theorem, and the Carmichael function, all significant in number theory
Robert_Daniel_Carmichael
A prime p divides a^p–a for any integer a
and q of n. Fermat's little theorem is also related to the Carmichael function and Carmichael's theorem, as well as to Lagrange's theorem in group theory
Fermat's_little_theorem
Numbers k where x - phi(x) = k has many solutions
{\displaystyle k} and above 1. Here, ϕ {\displaystyle \phi } is Euler's totient function. There are infinitely many solutions to the equation for k {\displaystyle
Highly_cototient_number
and φ {\displaystyle \varphi } are respectively the Carmichael function and Euler's totient function.[clarification needed] A root of unity modulo n is
Root_of_unity_modulo_n
Natural number
one way. 224 is the smallest k with λ(k) = 24, where λ(k) is the Carmichael function. The mathematician and philosopher Alex Bellos suggested in 2014
224_(number)
Public-key cryptosystem
\lambda (n))=1} , where λ ( n ) {\displaystyle \lambda (n)} is the Carmichael function. Compute d := e − 1 mod λ ( n ) {\displaystyle d:=e^{-1}{\bmod {\lambda
Key_encapsulation_mechanism
Concept in modular arithmetic
generates it. The order of a (mod n) also divides λ(n), a value of the Carmichael function, which is an even stronger statement than the divisibility of φ(n)
Multiplicative_order
Modular arithmetic concept
no primitive roots modulo 15. Indeed, λ(15) = 4, where λ is the Carmichael function. (sequence A002322 in the OEIS) Numbers n {\displaystyle n} that
Primitive_root_modulo_n
Symbols for constants, special functions
density ecliptic longitude in astronomy the Liouville function in number theory the Carmichael function in number theory the empty string in formal grammar
Greek letters used in mathematics, science, and engineering
Greek_letters_used_in_mathematics,_science,_and_engineering
Cryptographic attack on the RSA system
≡ 1 (mod λ(N)), where λ(N) denotes the Carmichael function, though sometimes φ(N), the Euler's totient function, is used (note: this is the order of the
Wiener's_attack
Group of units of the ring of integers modulo n
common multiple of the orders in the cyclic groups, is given by the Carmichael function λ ( n ) {\displaystyle \lambda (n)} (sequence A002322 in the OEIS)
Multiplicative group of integers modulo n
Multiplicative_group_of_integers_modulo_n
Numbers that contain only the digit 1
because p is prime. Therefore, unless q divides b − 1, p divides the Carmichael function of q, which is even and equal to q − 1. Any positive multiple of
Repunit
1999 United States Supreme Court case
Kumho Tire Co. v. Carmichael, 526 U.S. 137 (1999), is a United States Supreme Court case that applied the Daubert standard to expert testimony from non-scientists
Kumho_Tire_Co._v._Carmichael
Computational simulation method for open quantum systems
known as Quantum Trajectory Theory developed by Carmichael. Other contemporaneous works on wave-function-based Monte Carlo approaches to open quantum systems
Quantum_jump_method
Number used for counting
a list of objects in a specific order. More precisely, a sequence is a function that assigns an object to each position in that list. The positions themselves
Natural_number
Type of positive composite integer
In mathematics, a Lucas–Carmichael number is a positive composite integer n such that If p is a prime factor of n, then p + 1 is a factor of n + 1; n is
Lucas–Carmichael_number
Integer having a non-trivial divisor
Sieve of Eratosthenes Table of prime factors Divisor function Prime omega function Möbius function Pettofrezzo & Byrkit 1970, pp. 23–24. Long 1972, p. 16
Composite_number
Number that is not in the range of Euler's totient function
0, 0, 8, 0, 2, 0, 0, 0, 2, 0, 17, ... (sequence A014197 in the OEIS) Carmichael's conjecture is that there are no 1s in this sequence. An even nontotient
Nontotient
Iterative algorithm on numbers
sequence. Repeat step 2. The sequence is called a Kaprekar sequence and the function K b ( n ) = α − β {\displaystyle K_{b}(n)=\alpha -\beta } is the Kaprekar
Kaprekar's_routine
Number n where phi(m) is greater than phi(n) for all m greater than n
\varphi (m)>\varphi (n)} where φ {\displaystyle \varphi } is Euler's totient function. The first few sparsely totient numbers are: 2, 6, 12, 18, 30, 42, 60,
Sparsely_totient_number
New Zealand theoretical physicist
Howard John Carmichael (born 17 January 1950) is a British-born New Zealand theoretical physicist specialising in quantum optics and the theory of open
Howard_Carmichael
Natural number
Lucas–Carmichael number 2016 – second-smallest Erdős–Nicolas number, triangular number, number of 5-cubes in a 9-cube, 211 – 25 2017 – Mertens function zero
2000_(number)
Integer that occurs often as a totient
{\displaystyle \phi (x)=k} , where ϕ {\displaystyle \phi } is Euler's totient function, than any integer smaller than it. The first few highly totient numbers
Highly_totient_number
Positive integers with specific properties
integers below it. That is, m − φ(m) = n, where φ stands for Euler's totient function, has no solution for m. The cototient of n is defined as n − φ(n), so a
Noncototient
Number divisible only by 1 and itself
the zeros of the Riemann zeta function ζ ( s ) {\displaystyle \zeta (s)} are located. This function is an analytic function on the complex numbers. For
Prime_number
Infinite integer series where the next number is the sum of the two preceding it
− 4 ( 18 ) + 6 {\displaystyle 256=322-4(18)+6} The ordinary generating function of the sequence of Lucas numbers is the power series Φ ( x ) = ∑ k = 0
Lucas_number
Product of two prime numbers
where π ( x ) {\displaystyle \pi (x)} is the prime-counting function and p k {\displaystyle p_{k}} denotes the kth prime. Semiprime numbers
Semiprime
Numbers obtained by adding the two previous ones
a prime factor that is not a factor of any smaller Fibonacci number (Carmichael's theorem). As a result, 8 and 144 (F6 and F12) are the only Fibonacci
Fibonacci_sequence
Number, product of consecutive integers
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Pronic_number
Arithmetic operation
function xy has no limit at the point (0, 0). One may consider at what points this function does have a limit. More precisely, consider the function f
Exponentiation
Handelsgesetze des Erdballs. Vol. 8. 1908. p. 13. Epple & Assefa 2020, p. 146. Carmichael 2001, p. 215. Abiad 2008, p. 144. Abiad, Nisrine (2008). Sharia, Muslim
Sharia_court
Count of the possible partitions of a set
exponential function and the nonemptiness constraint ≥1 into subtraction by one. An alternative method for deriving the same generating function uses the
Bell_number
Formulation of quantum mechanics
Howard Carmichael in the early 1990s around the same time as the similar formulation, known as the quantum jump method or Monte Carlo wave function (MCWF)
Quantum_Trajectory_Theory
Class of natural numbers with many divisors
{d(n)}{n^{\varepsilon }}}\geq {\frac {d(k)}{k^{\varepsilon }}}} where d(n), the divisor function, denotes the number of divisors of n. The term was coined by Ramanujan
Superior highly composite number
Superior_highly_composite_number
Integers occurring in the coefficients of the Taylor series of 1/cosh t
Taylor series expansions of the secant and hyperbolic secant functions. The latter is the function in the definition. They also occur in combinatorics, specifically
Euler_numbers
Type of Poulet number
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Super-Poulet_number
Mathematics analytic function
Transcendental Functions", Mathematische Annalen 48:1-2:49-74 (1896) doi:10.1007/BF01446334 R. D. Carmichael, "On Transcendentally Transcendental Functions", Transactions
Hypertranscendental_function
American comedian and actress (born 1979)
drama, Haddish gained prominence for her roles in the NBC sitcom The Carmichael Show (2015–2017), the TBS series The Last O.G. (2018–2020), the Hulu series
Tiffany_Haddish
Figurate number
with the factorial function, a product whose factors are the integers from 1 to n, Donald Knuth proposed the name Termial function, with the notation
Triangular_number
Integer filtered out using a sieve similar to that of Eratosthenes
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Lucky_number
Mathematical function
In mathematics, Hooley's delta function ( Δ ( n ) {\displaystyle \Delta (n)} ), also called Erdős--Hooley delta-function, defines the maximum number of
Hooley's_delta_function
Sum of a number's digits
Encyclopedia of Integer Sequences. Borwein & Borwein (1992) use the generating function of this integer sequence (and of the analogous sequence for binary digit
Digit_sum
Recursive integer sequence
binomial coefficients, by Stirling's approximation for n!, or via generating functions. The only Catalan numbers Cn that are odd are those for which n = 2k −
Catalan_number
Concatenation of the first n prime numbers
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Smarandache–Wellin_number
Ten raised to an integer power
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Power_of_10
Count of permutations by cycles
, v ) {\displaystyle \zeta (k,v)} are the Riemann zeta function and the Hurwitz zeta function respectively, and even evaluate this integral ∫ 0 1 log
Stirling numbers of the first kind
Stirling_numbers_of_the_first_kind
Number raised to the third power
n × n × n. The cube function is the function x ↦ x3 (often denoted y = x3) that maps a number to its cube. It is an odd function, as (−n)3 = −(n3). The
Cube_(algebra)
Numbers with a certain property involving recursive summation
eventually reaches 1 when iterated over the perfect digital invariant function for p = 2 {\displaystyle p=2} . The origin of happy numbers is not clear
Happy_number
Natural number
1007/978-0-387-21850-2. ISBN 0-387-95332-9. MR 1866957. Carmichael, R. D. (1910). "Note on a new number theory function". Bulletin of the American Mathematical Society
1105_(number)
Product of an integer with itself
Integer that is a perfect square modulo some integer Quadratic function – Polynomial function of degree two Square triangular number – Integer that is both
Square_number
Numbers whose prime factors all divide the number more than once
9435964368\ldots ,} where p runs over all primes, ζ(s) denotes the Riemann zeta function, and ζ(3) is Apéry's constant. (sequence A082695 in the OEIS) More generally
Powerful_number
Numbers parameterizing ways to partition a set
{(-1)^{k-i}i^{n}}{(k-i)!i!}}.} (See also Stirling numbers and exponential generating functions in symbolic combinatorics#Stirling numbers of the second kind for a proof
Stirling numbers of the second kind
Stirling_numbers_of_the_second_kind
Integer having only small prime factors
algorithms, for example: the general number field sieve), the VSH hash function is another example of a constructive use of smoothness to obtain a provably
Smooth_number
Number that represents a hexagon with a dot in the center
calculate the generating function F ( x ) = ∑ n ≥ 0 H ( n ) x n {\displaystyle F(x)=\sum _{n\geq 0}H(n)x^{n}} . The generating function satisfies F ( x ) =
Centered_hexagonal_number
Type of number introduced by Mike Keith
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Keith_number
Repeated sum of a number's digits
of a positive integer n {\displaystyle n} may be defined by using floor function ⌊ x ⌋ {\displaystyle \lfloor x\rfloor } , as dr b ( n ) = n − ( b − 1
Digital_root
Means by which a person dies by suicide
Archived from the original on 18 October 2019. Retrieved 5 September 2020. Carmichael V, Whitley R (9 May 2019). "Media coverage of Robin Williams' suicide
Suicide_methods
Number that remains the same when its digits are reversed
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Palindromic_number
Mathematical concept
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Lucky_numbers_of_Euler
Class of binary number
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Evil_number
Square of a triangular number
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Squared_triangular_number
Number equal to the sum of its proper divisors
_{1}(n)=2n} where σ 1 {\displaystyle \sigma _{1}} is the sum-of-divisors function. This definition is ancient, appearing as early as Euclid's Elements (Book
Perfect_number
Odd number with specific properties
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Sierpiński_number
Composite number which passes Miller–Rabin primality test
which there exist numbers that are pseudoprimes to all coprime bases (the Carmichael numbers), there are no composites that are strong pseudoprimes to all
Strong_pseudoprime
Number that cannot be written as an aliquot sum
integer. That is, these numbers are not in the image of the aliquot sum function. Their study goes back at least to Abu Mansur al-Baghdadi (circa 1000 AD)
Untouchable_number
Numbers that evenly divide powers of 60
the harmonic whole numbers. Wikifunctions has a regular number checking function. Algorithms for calculating the regular numbers in ascending order were
Regular_number
Numeral ambigram
such as palindromes. Wikifunctions has a strobogrammatic number checking function. With standard handwriting, the numbers, 0, 1, 8 are symmetrical around
Strobogrammatic_number
Integer named after Reo Fortune
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Fortunate_number
Natural number
(Reduced totient function psi(n): least k such that x^k congruent to 1 (mod n) for all x prime to n; also known as the Carmichael lambda function (exponent of
34_(number)
Computational physics simulation tool
Studies in Modern Optics. ISBN 0521497302 , ISBN 978-0521497305. H. J. Carmichael (2002). Statistical Methods in Quantum Optics I: Master Equations and
Husimi_Q_representation
Two raised to an integer power
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Power_of_two
minor roles in episodes before eventually coming to the forefront." Les Carmichael, portrayed by Stacy J Gough, was Matty Barton's (Ash Palmisciano) cellmate
List of Emmerdale characters introduced in 2024
List_of_Emmerdale_characters_introduced_in_2024
Concept in number theory
Let n {\displaystyle n} be a natural number. We define the narcissistic function for base b > 1 {\displaystyle b>1} F b : N → N {\displaystyle F_{b}:\mathbb
Narcissistic_number
Numbers in a type of Lucas sequence
3 . {\displaystyle J_{n}={\frac {2^{n}-(-1)^{n}}{3}}.} The generating function for the Jacobsthal numbers is x ( 1 + x ) ( 1 − 2 x ) . {\displaystyle
Jacobsthal_number
The nth term describes the length of the nth run A000002 Euler's totient function φ(n) 1, 1, 2, 2, 4, 2, 6, 4, 6, 4, ... φ(n) is the number of positive integers
List_of_integer_sequences
Turkish Empire (c. 1299–1922)
Archived from the original on 14 January 2023. Retrieved 20 June 2015. Carmichael, Cathie (2012). Ethnic Cleansing in the Balkans: Nationalism and the Destruction
Ottoman_Empire
Technique to solve differential equations
mathematicians including Charles James Hargreave, George Boole, Bownin, Carmichael, Doukin, Graves, Murphy, William Spottiswoode and Sylvester. Treatises
Operational_calculus
Number with a half-integer abundancy index
σ(n)/n = k/2 for an odd integer k, where σ(n) is the sum-of-divisors function, the sum of all positive divisors of n. The first few hemiperfect numbers
Hemiperfect_number
Result of multiplying four instances of a number together
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Fourth_power
"Stokely Carmichael - Civil Rights Movement, SNCC & Speech". HISTORY. 2019-06-10. Retrieved 2023-12-09. Goldman, John J. (1998-11-16). "Stokely Carmichael, Black
List of people with prostate cancer
List_of_people_with_prostate_cancer
Integer divisible by sum of its digits
Koninck, Jean-Marie; Doyon, Nicolas; Kátai, I. (2003), "On the counting function for the Niven numbers", Acta Arithmetica, 106 (3): 265–275, Bibcode:2003AcAri
Harshad_number
Figurate number
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Pentagonal_number
Number whose divisors summed twice over equal twice itself
\sigma ^{2}(n)=\sigma (\sigma (n))=2n\,,} where σ is the sum-of-divisors function. Superperfect numbers are not a generalization of perfect numbers but have
Superperfect_number
Integer whose multiples are digit rotations
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Cyclic_number
Number of form 2^(2^p-1)-1 with prime exponent
number is known as a "Martian prime". Cunningham chain Double exponential function Fermat number Perfect number Wieferich prime Chris Caldwell, Mersenne Primes:
Double_Mersenne_number
Algorithm for public-key cryptography
released as part of the public key. Compute λ(n), where λ is Carmichael's totient function. Since n = pq, λ(n) = lcm(λ(p), λ(q)), and since p and q are
RSA_cryptosystem
Fictional characters
pretty much my alter ego, except I didn't have fairy godparents." Chloe Carmichael (voiced by Kari Wahlgren) is Timmy's neighbor who debuted in the series'
List of The Fairly OddParents characters
List_of_The_Fairly_OddParents_characters
Danish mathematician (1885–1981)
Greenland". Geological Survey of Denmark. Retrieved 26 September 2019. Carmichael, R. D. (1925). "Nörlund on Calculus of Differences". Bull. Amer. Math
Niels_Erik_Nørlund
Phenomenon in quantum optics
intensity). Photon antibunching by this definition was first proposed by Carmichael and Walls and first observed by Kimble, Mandel, and Dagenais in resonance
Photon_antibunching
CARMICHAEL FUNCTION
CARMICHAEL FUNCTION
Male
Egyptian
, a great functionary.
Male
Egyptian
, an Egyptian functionary.
Male
Egyptian
, the son of the functionary Heknofre.
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Male
Egyptian
, Functionary of the Interior.
Boy/Male
Gaelic
Son of the one who served Saint Michael.
Boy/Male
Scottish Gaelic
Friend of Saint Michael.
Biblical
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Male
Celtic
, great justiciary, or functionary.
Male
Egyptian
, an Egyptian functionary.
Male
Egyptian
, a high Egyptian functionary.
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Boy/Male
Australian, Gaelic, Scottish
Follower of Michael; Friend of Saint Michael
Surname or Lastname
English
English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.
Surname or Lastname
English (chiefly Kent and Sussex)
English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
CARMICHAEL FUNCTION
CARMICHAEL FUNCTION
Girl/Female
Gujarati, Hindu, Indian, Kannada
Brilliant; Naughty
Boy/Male
Indian, Sanskrit
Born of Beauty
Surname or Lastname
English
English : variant spelling of Pickerill.
Boy/Male
Polish
God's glory.
Boy/Male
Hindu
Matchless or incomparable
Boy/Male
Hindu, Indian
Making Alive
Girl/Female
Bengali, Gujarati, Hebrew, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Rocky Hill; A Hill Where Kings Met; Wife of Lord Brihaspati
Surname or Lastname
English
English : variant of Ratcliff.
Female
Egyptian
, a mystical cow.
Surname or Lastname
English
English : patronymic from Beal.
CARMICHAEL FUNCTION
CARMICHAEL FUNCTION
CARMICHAEL FUNCTION
CARMICHAEL FUNCTION
CARMICHAEL FUNCTION
a.
Of, pertaining to, or designating, certain secret tribunals which flourished in Germany from the end of the 12th century to the middle of the 16th, usurping many of the functions of the government which were too weak to maintain law and order, and inspiring dread in all who came within their jurisdiction.
adv.
In a functional manner; as regards normal or appropriate activity.
a.
Destitute of function, or of an appropriate organ. Darwin.
v. i.
To execute or perform a function; to transact one's regular or appointed business.
prep.
Acting as a substitute; -- said of abnormal action which replaces a suppressed normal function; as, vicarious hemorrhage replacing menstruation.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
pl.
of Functionary
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
n.
One deputed or authorized to perform the functions of another; a substitute in office; a deputy.
a.
Belonging or relating to life, either animal or vegetable; as, vital energies; vital functions; vital actions.
n.
The doctrine that all the functions of a living organism are due to an unknown vital principle distinct from all chemical and physical forces.
v. i.
Alt. of Functionate
a.
Of or pertaining to the vessels of animal and vegetable bodies; as, the vascular functions.
n.
A certain function relating to a system of forces and their points of application, -- first used by Clausius in the investigation of problems in molecular physics.
v. t.
To assign to some function or office.
a.
Pertaining to the function of an organ or part, or to the functions in general.
n.
Fig.: Any cavity, or hollow place, in which any function may be conceived of as operating.
a.
Having relation to growth or nutrition; partaking of simple growth and enlargement of the systems of nutrition, apart from the sensorial or distinctively animal functions; vegetal.
a.
Pertaining to, or connected with, a function or duty; official.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.