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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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
Legendary Indigenous North American creature
'what man has the power to lift those great stones?'". Carmichael concluded that "the exact function of the Wanipigow Thunderbird Nests remains enigmatic"
Thunderbird_(mythology)
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
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. To see this, take
Semiprime
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
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
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
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
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
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)
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
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
Number n where n and totient(n) are coprime
Monthly. 107 (7): 631–634. doi:10.2307/2589118. Retrieved 21 May 2021. Carmichael Multiples of Odd Cyclic Numbers See T. Szele, Über die endlichen Ordnungszahlen
Cyclic_number_(group_theory)
Type of composite integer
{\displaystyle n} be a natural number. For base b > 1 {\displaystyle b>1} , let the function F b ( n ) {\displaystyle F_{b}(n)} be the digit sum of n {\displaystyle
Smith_number
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
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 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
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
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
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
Type of composite number with an even number of digits
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Vampire_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 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
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 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)
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
American cyclist (born 1960)
Chris Carmichael (born October 24, 1960, in Miami, Florida, United States) is a retired professional cyclist and cycling, triathlon and endurance sports
Chris_Carmichael_(cyclist)
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
Police Scotland investigation into fundraising fraud in the SNP
obtain documents from the SNP's auditors, the accounting firm Johnston Carmichael. In 2022, a peer-review of the operation was conducted by the National
Operation_Branchform
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
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
Type of composite number
many Giuga numbers? Is there a composite Giuga number that is also a Carmichael number? More unsolved problems in mathematics All known Giuga numbers
Giuga_number
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
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
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
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
Number that is the result of operation on its own digits
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Friedman_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
and written by William Sterling. Alive and Kicking 1950 Broadway Hoagy Carmichael and various artists Paul Francis Webster and various artist I. A. L. Diamond
List_of_musicals:_A_to_L
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
Technique to solve differential equations
mathematicians including Charles James Hargreave, George Boole, Bownin, Carmichael, Doukin, Graves, Murphy, William Spottiswoode and Sylvester. Treatises
Operational_calculus
Type of positive integer pairs
condition is that σ(m) = σ(n) = m + n + 1, where σ denotes the sum-of-divisors function. The first few pairs of betrothed numbers are: (48, 75), (140, 195), (1050
Betrothed_numbers
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
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)
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
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
Repeated sum of a number's digits
which allows it to be used as a divisibility rule. The formula for the function d r b : N → ⋃ k = 0 b − 1 { k } , b ∈ N ⩾ 2 {\displaystyle \mathrm {dr}
Digital_root
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
American singer, songwriter and actress (born 1986)
ability to be part ordinary person, part extraterrestrial celebrity empress functions at the highest level". Stephanie Zacharek of Time magazine similarly highlighted
Lady_Gaga
Composite number with special property
set of all n-Knödel numbers is denoted Kn. The special case K1 is the Carmichael numbers. There are infinitely many n-Knödel numbers for a given n. Due
Knödel_number
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
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
Positive integer that is the product of three distinct prime numbers
definition squarefree, because the prime factors must be distinct. The Möbius function of any sphenic number is −1. The cyclotomic polynomials Φ n ( x ) {\displaystyle
Sphenic_number
Abundant number whose proper divisors are all deficient numbers
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Primitive_abundant_number
Number in the 5th cell of any row of Pascal's triangle
natural number. In that case x is the nth pentatope number. The generating function for pentatope numbers is x ( 1 − x ) 5 = x + 5 x 2 + 15 x 3 + 35 x 4 +
Pentatope_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
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
Reinhold, P.; Gutiérrez-Jáuregui, R.; Schoelkopf, R. J.; Mirrahimi, M.; Carmichael, H. J.; Devoret, M. H. (2019). "To catch and reverse a quantum jump mid-flight"
Language_model_benchmark
Type of figurate number
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Hexagonal_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
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
"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
Number that has fewer digits than the number of digits in its prime factorization
pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime Arithmetic functions and dynamics Divisor functions Abundant
Extravagant_number
CARMICHAEL FUNCTION
CARMICHAEL FUNCTION
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
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.
Male
Egyptian
, the son of the functionary Heknofre.
Boy/Male
Australian, Gaelic, Scottish
Follower of Michael; Friend of Saint Michael
Biblical
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Male
Egyptian
, an Egyptian functionary.
Boy/Male
Scottish Gaelic
Friend of Saint Michael.
Male
Egyptian
, a high Egyptian functionary.
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.
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
, a great functionary.
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.
Male
Egyptian
, Functionary of the Interior.
Boy/Male
Gaelic
Son of the one who served Saint Michael.
Male
Celtic
, great justiciary, or functionary.
Male
Egyptian
, an Egyptian functionary.
CARMICHAEL FUNCTION
CARMICHAEL FUNCTION
Girl/Female
Arabic, Muslim
Moon; Brow Like the Moon; Forehead
Girl/Female
Australian, Danish, Greek, Indian, Sindhi
Stylish
Boy/Male
Arabic
Bright; Radiant
Male
Thai/Siamese
Thai name KIET means "honor."
Boy/Male
Gujarati, Hindu, Indian
King of Universe
Boy/Male
American, British, English, French
Holy-man; St John
Girl/Female
Indian
Beautiful
Girl/Female
British, English, Irish, Norse
Burning; Stinking Hair; Sword
Girl/Female
Hawaiian
Quick; nimble.
Male
Hebrew
(ש×ְץַטְיָה) Variant spelling of Hebrew Shephatyah, SHEFATYA means "whom Jehovah defends." In the bible, this is the name of many characters, including a son of David.Â
CARMICHAEL FUNCTION
CARMICHAEL FUNCTION
CARMICHAEL FUNCTION
CARMICHAEL FUNCTION
CARMICHAEL FUNCTION
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.
Of or pertaining to the vessels of animal and vegetable bodies; as, the vascular functions.
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.
prep.
Acting as a substitute; -- said of abnormal action which replaces a suppressed normal function; as, vicarious hemorrhage replacing menstruation.
a.
Pertaining to, or connected with, a function or duty; official.
adv.
In a functional manner; as regards normal or appropriate activity.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
v. i.
To execute or perform a function; to transact one's regular or appointed business.
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.
v. t.
To assign to some function or office.
pl.
of Functionary
n.
Fig.: Any cavity, or hollow place, in which any function may be conceived of as operating.
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.
a.
Pertaining to the function of an organ or part, or to the functions in general.
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.
v. i.
Alt. of Functionate
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.
a.
Destitute of function, or of an appropriate organ. Darwin.