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Concept in Number Theory
In number theory, the Fermat quotient of an integer a with respect to an odd prime p is defined as q p ( a ) = a p − 1 − 1 p , {\displaystyle q_{p}(a)={\frac
Fermat_quotient
A prime p divides a^p–a for any integer a
In number theory, Fermat's little theorem states that if p is a prime number, then for any integer a, the number ap − a is an integer multiple of p. In
Fermat's_little_theorem
Czech mathematician (1937–2026)
ordered sets. He published over 80 papers and notable results on the Fermat quotient. Skula obtained his Dr.Sc. degree from Charles University in Prague
Ladislav_Skula
threefold Fermat quotient Fermat's difference quotient Fermat's factorization method Fermat's Last Theorem Fermat's little theorem Fermat's method Fermat's method
List of things named after Pierre de Fermat
List_of_things_named_after_Pierre_de_Fermat
Prime such that p^2 divides 2^(p-1)-1
1016/j.jnt.2005.09.001 Wells Johnson (1977), "On the nonvanishing of Fermat quotients (mod p)", J. Reine Angew. Math., 292: 196–200 Dobeš, Jan; Kureš, Miroslav
Wieferich_prime
French mathematician and lawyer (1601–1665)
Pierre de Fermat (/fɜːrˈmɑː/; French: [pjɛʁ də fɛʁma]; 31 October 1605 – 12 January 1665) was a French magistrate, polymath, and above all, a mathematician
Pierre_de_Fermat
Expression in calculus
difference quotient is sometimes also called the Newton quotient (after Isaac Newton) or Fermat's difference quotient (after Pierre de Fermat). The typical
Difference_quotient
Natural number
Integer Sequences. OEIS Foundation. "Allgemeine Repunit-Primzahlen". Fermat Quotient (in German). Wikimedia Commons has media related to 185 (number). v
185_(number)
Natural number
106 "B^(P-1) == 1 (mod P^2) [Geralized Wieferich primes base b]". Fermat Quotient. Sloane, N. J. A. (ed.). "Sequence A059925 (Initial members of two
1,000,000
Natural number
of the generalized Fermat prime F14(71) in the online factor database "B^(P-1) == 1 (mod P^2) [Generalized Wieferich primes base b]". Fermat Quotient.
71_(number)
Sequence of numbers
prime or long prime in base b is an odd prime number p such that the Fermat quotient q p ( b ) = b p − 1 − 1 p {\displaystyle q_{p}(b)={\frac {b^{p-1}-1}{p}}}
Reciprocals_of_primes
expressed as the sum of three reciprocals of positive integers. The Fermat quotient with base 2, which is 2 p − 1 − 1 p {\displaystyle {\frac {2^{p-1}-1}{p}}}
List_of_sums_of_reciprocals
Computer algebra system
Fermat (named after Pierre de Fermat) is a computer algebra system developed by Prof. Robert H. Lewis of Fordham University. It can work on integers (of
Fermat (computer algebra system)
Fermat_(computer_algebra_system)
[math.NT]. Dobson, J. B. (1 April 2017). "On Lerch's formula for the Fermat quotient". p. 23. arXiv:1103.3907v6 [math.NT].{{cite arXiv}}: CS1 maint: overridden
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Natural number
2016. "B^(P-1) == 1 (mod P^2) [Generalized Wieferich primes base b]". Fermat Quotient. "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia
8000_(number)
{\displaystyle t=2} . Fermat quotient Lehmer, Emma (1938). "On congruences involving Bernoulli numbers and the quotients of Fermat and Wilson". Annals of
Wilson_quotient
Integer whose multiples are digit rotations
fractions, it can be shown that cyclic numbers are of the form of the Fermat quotient b p − 1 − 1 p {\displaystyle {\frac {b^{p-1}-1}{p}}} where b is the
Cyclic_number
Composite number that passes Fermat's probable primality test
number theory, the Fermat pseudoprimes make up the most important class of pseudoprimes that come from Fermat's little theorem. Fermat's little theorem states
Fermat_pseudoprime
Condition under which an odd prime is a sum of two squares
In additive number theory, Fermat's theorem on sums of two squares states that an odd prime p can be expressed as: p = x 2 + y 2 , {\displaystyle p=x^{2}+y^{2}
Fermat's theorem on sums of two squares
Fermat's_theorem_on_sums_of_two_squares
American columnist, author and lecturer (born 1946)
American magazine columnist who has the highest recorded intelligence quotient (IQ) in the Guinness Book of Records, a competitive category the publication
Marilyn_vos_Savant
Sum of the first n whole number reciprocals; 1/1 + 1/2 + 1/3 + ... + 1/n
2 ) = ( 2 p − 1 − 1 ) / p {\textstyle q_{p}(2)=(2^{p-1}-1)/p} is a Fermat quotient, with the consequence that p {\textstyle p} divides the numerator of
Harmonic_number
Approach to public-key cryptography
on 2017-09-21. Retrieved 2017-10-28. Satoh, T.; Araki, K. (1998). "Fermat quotients and the polynomial time discrete log algorithm for anomalous elliptic
Elliptic-curve_cryptography
Class of prime numbers
prime or long prime in base b is an odd prime number p such that the Fermat quotient q p ( b ) = b p − 1 − 1 p {\displaystyle q_{p}(b)={\frac {b^{p-1}-1}{p}}}
Full_reptend_prime
About maxima and minima of functions
stationary point. It is also known as Fermat's theorem, named after the French mathematician Pierre de Fermat. The interior extremum theorem gives a
Interior_extremum_theorem
over-relaxation Chinese remainder theorem Fermat's little theorem Proofs of Fermat's little theorem Fermat quotient Euler's totient function Noncototient
List_of_number_theory_topics
Differential mapping
defines a p-derivation. Witt vector Arithmetic derivative Derivation Fermat quotient Buium, Alex (1989), Arithmetic Differential Equations, Mathematical
P-derivation
Complex number whose mapping on a coordinate plane produces a triangular lattice
integer". MathWorld. Cox, David A. (1997-05-08). Primes of the Form x2+ny2: Fermat, Class Field Theory and Complex Multiplication (PDF). Wiley. p. 77. ISBN 0-471-19079-9
Eisenstein_integer
Generalization of Fermat's Last Theorem and of Catalan's conjecture,
In number theory, the Fermat–Catalan conjecture is a generalization of Fermat's Last Theorem and of Catalan's conjecture. The conjecture states that the
Fermat–Catalan_conjecture
= 21, 29, 47, 50, even the next value is unknown) Wieferich prime Fermat quotient Preda Mihăilescu (2004). "Primary Cyclotomic Units and a Proof of Catalan's
Wieferich_pair
Branch of mathematics
finite differences developed in Europe at around the same time. Pierre de Fermat, claiming that he borrowed from Diophantus, introduced the concept of adequality
Calculus
Polynomial equation whose integer solutions are sought
became famous as Fermat's Last Theorem. It was not until 1995 that it was proven by the British mathematician Andrew Wiles. In 1657, Fermat attempted to solve
Diophantine_equation
Computational operation
divided by 2 has a quotient of 2 and a remainder of 1, while "9 mod 3" would evaluate to 0, because 9 divided by 3 has a quotient of 3 and a remainder
Modulo
(OEIS: A088054) Fermat primes are primes p of the form p = 22k + 1, for a non-negative integer k. As of June 2024[update] only five Fermat primes have been
List_of_prime_numbers
Mathematical project in integer factorization
assuming n ≥ 2; these are the generalized Fermat numbers, which are Fermat numbers when b = 2. Any factor of a Fermat number 22n + 1 is of the form k·2n+2
Cunningham_Project
Branch of number theory
Arithmetica, of which only a portion has survived. Fermat's Last Theorem was first conjectured by Pierre de Fermat in 1637, famously in the margin of a copy of
Algebraic_number_theory
Mathematical notion of infinitesimal difference
coordinate ring is not R (which is the quotient space of functions on R modulo Ip) but R[ε] which is the quotient space of functions on R modulo Ip2. Such
Differential_(mathematics)
Arithmetic operation
{ fraction quotient ratio {\displaystyle \scriptstyle \left\{{\begin{matrix}\scriptstyle {\text{fraction}}\\\scriptstyle {\text{quotient}}\\\scriptstyle
Exponentiation
Finite field of two elements
is idempotent with respect to multiplication); this is an instance of Fermat's little theorem. GF(2) is the only field with this property (Proof: if x2
GF(2)
Special type of prime number
century. Interest in these primes first arose due to their connection with Fermat's Last Theorem. Wolstenholme primes are also related to other special classes
Wolstenholme_prime
Conjecture in number theory
arXiv:1309.4030 [math.NT]. H. Darmon and L. Merel. Winding quotients and some variants of Fermat's Last Theorem, J. Reine Angew. Math. 490 (1997), 81–100
Beal_conjecture
The group of K-rational points of an abelian variety is a finitely-generated abelian group
process of infinite descent of Fermat was well known, but Mordell succeeded in establishing the finiteness of the quotient group E ( Q ) / 2 E ( Q ) {\displaystyle
Mordell–Weil_theorem
In a 1659 treatise, Fermat is credited with an ingenious trick for evaluating the integral of any power function directly. Fermat also obtained a technique
History_of_calculus
In mathematics, straight line touching a plane curve without crossing it
by considering the path of a point moving along the curve. In the 1630s Fermat developed the technique of adequality to calculate tangents and other problems
Tangent
Algebra with unique prime factorization
quadratic forms and the Fermat equation seems not to have been perceived. In 1847 Gabriel Lamé announced a solution of Fermat's Last Theorem for all n
Dedekind_domain
Study of rates of change
(1616–1703). Regarding Fermat's influence, Newton once wrote in a letter that "I had the hint of this method [of fluxions] from Fermat's way of drawing tangents
Differential_calculus
Algorithm for computing greatest common divisors
and in proving Fermat's theorem on sums of two squares. Unique factorization was also a key element in an attempted proof of Fermat's Last Theorem published
Euclidean_algorithm
Automorphism group of the Klein quartic
such matrices with unit determinant. Then PSL(2, 7) is defined to be the quotient group SL(2, 7) / {I, −I} obtained by identifying I and −I, where I is the
PSL(2,7)
Algebraic curve in mathematics
current research; for example, they were used in Andrew Wiles's proof of Fermat's Last Theorem. They also find applications in elliptic curve cryptography
Elliptic_curve
One of the surfaces of general type introduced by Lucien Godeaux in 1931
numerical Godeaux surfaces. The cyclic group of order 5 acts freely on the Fermat surface of points (w : x : y : z) in P3 satisfying w5 + x5 + y5 + z5 = 0
Godeaux_surface
Branch of mathematics
algebraic number theory. Wiles' proof of the longstanding conjecture called Fermat's Last Theorem is an example of the power of this approach. In classical
Algebraic_geometry
University Thesis On the Shafarevich-Tate group of the jacobian of a quotient of the Fermat curvature (1988) Doctoral advisor Barry Mazur Academic work Discipline
William_G._McCallum
even number to also be prime. 3, 22-1, the first Mersenne prime and first Fermat number. It is the first odd prime, and it is also the 2 bit integer maximum
List_of_numbers
Compact Riemann surface of genus 3
mathematics, in contexts including representation theory, homology theory, Fermat's Last Theorem, and the Stark–Heegner theorem on imaginary quadratic number
Klein_quartic
Real numbers adjoined with a nil-squaring element
In modern algebra, the algebra of dual numbers is often defined as the quotient of a polynomial ring over the real numbers ( R ) {\displaystyle (\mathbb
Dual_number
Differential calculus on function spaces
Such solutions are known as geodesics. A related problem is posed by Fermat's principle: light follows the path of shortest optical length connecting
Calculus_of_variations
neighborhood of the identity contains a normal subgroup whose corresponding quotient group is a solvable group. Let p be a prime, and denote the field of p-adic
Prosolvable_group
Mathematical notation used for calculus
0}{\frac {f(x+\Delta x)-f(x)}{\Delta x}},} was, according to Leibniz, the quotient of an infinitesimal increment of y by an infinitesimal increment of x,
Leibniz's_notation
Cayley's ruled cubic surface Clebsch surface or Klein icosahedral surface Fermat cubic Monkey saddle Parabolic conoid Plücker's conoid Whitney umbrella Châtelet
List of complex and algebraic surfaces
List_of_complex_and_algebraic_surfaces
Type of prime number conjectured to exist
Fermat's Last Theorem was false for a certain prime p, then p would have to be a Wall–Sun–Sun prime. As a result, prior to Wiles's proof of Fermat's Last
Wall–Sun–Sun_prime
In number theory, measure of non-unique factorization
(or class group) of an algebraic number field K {\displaystyle K} is the quotient group J K / P K {\displaystyle J_{K}/P_{K}} where J K {\displaystyle J_{K}}
Ideal_class_group
Submodule of a mathematical ring
used to construct a quotient ring in a way similar to how, in group theory, a normal subgroup can be used to construct a quotient group. Among the integers
Ideal_(ring_theory)
Set with associative invertible operation
Leopold Kronecker. In 1847, Ernst Kummer made early attempts to prove Fermat's Last Theorem by developing groups describing factorization into prime numbers
Group_(mathematics)
n-queens problem for n = 13, decagonal number, centered square number, Fermat pseudoprime 1106 = number of regions into which the plane is divided when
1000_(number)
entire domain of a function (the global or absolute extrema). Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality
Glossary_of_calculus
Algebraic surface defined by a cubic polynomial
note that a complex surface has real dimension 4. A simple example is the Fermat cubic surface x 3 + y 3 + z 3 + w 3 = 0 {\displaystyle x^{3}+y^{3}+z^{3}+w^{3}=0}
Cubic_surface
proofs: Bertrand's postulate and a proof Estimation of covariance matrices Fermat's little theorem and some proofs Gödel's completeness theorem and its original
List_of_mathematical_proofs
the Tate twist of an even representation that factors through a finite quotient group of G a l ( Q ¯ | Q ) {\displaystyle \mathrm {Gal} ({\overline {\mathbb
Fontaine–Mazur_conjecture
Canadian mathematician and historian
2006, pp. 49–57 Fermat: The founder of modern number theory, Mathematics Magazine, Vol. 78, 2005, pp. 3–14 From Fermat to Wiles: Fermat's Last Theorem becomes
Israel Kleiner (mathematician)
Israel_Kleiner_(mathematician)
Algebraic structure in linear algebra
space. Around 1636, French mathematicians René Descartes and Pierre de Fermat founded analytic geometry by identifying solutions to an equation of two
Vector_space
Number used for counting
{\displaystyle a=b\times q+r{\text{ and }}r<b.} The number q is called the quotient and r is called the remainder of the division of a by b. The numbers q
Natural_number
Emma Lehmer, "On Congruences involving Bernoulli Numbers and the Quotients of Fermat and Wilson," Annals of Mathematics 39 (1938), pp. 350–360. M. Lerch
Mirimanoff's_congruence
Generalization of algebraic variety
and allowing "varieties" defined over any commutative ring (for example, Fermat curves are defined over the integers). Scheme theory was introduced by Alexander
Scheme_(mathematics)
Computation modulo a fixed integer
the more advanced properties of congruence relations are the following: Fermat's little theorem: If p is prime and does not divide a, then ap−1 ≡ 1 (mod
Modular_arithmetic
German mathematician (1810–1893)
was intensively studied in the nineteenth century). Kummer also proved Fermat's Last Theorem for a considerable class of prime exponents (see regular prime
Ernst_Kummer
Type of smooth complex surface of kodaira dimension 0
of minimal surfaces of Kodaira dimension zero. A simple example is the Fermat quartic surface x 4 + y 4 + z 4 + w 4 = 0 {\textstyle x^{4}+y^{4}+z^{4}+w^{4}=0}
K3_surface
Numbers obtained by adding the two previous ones
the floret and c is a constant scaling factor; the florets thus lie on Fermat's spiral. The divergence angle, approximately 137.51°, is the golden angle
Fibonacci_sequence
Operation in mathematical calculus
time, the work of Cavalieri with his method of indivisibles, and work by Fermat, began to lay the foundations of modern calculus, with Cavalieri computing
Integral
Type of mathematical object
theory GIT quotient Groupoid scheme Group-scheme action Group-stack Invariant theory Quotient stack Raynaud, Michel (1967), Passage au quotient par une relation
Group_scheme
Canadian mathematician
point of Andrew Wiles's attack on the Taniyama–Shimura conjecture and Fermat's Last Theorem. In the mid-1980s Langlands turned his attention to physics
Robert_Langlands
extension of Q. Recall that the ordinary class group of K is defined as the quotient C K = I K / P K , {\displaystyle C_{K}=I_{K}/P_{K},\,} where IK is the
Narrow_class_group
simple groups The groups PSL2(F2n) for n>1 The group PSL2(Fp) for p>3 a Fermat prime or Mersenne prime. The group PSL2(F9) The group PSL3(F4) Burnside
CN-group
Algorithm checking for prime numbers
test works only for Mersenne numbers, while Pépin's test can be applied to Fermat numbers only. The maximum running time of the algorithm can be bounded by
AKS_primality_test
Used to count, measure, and label
1007/978-3-031-83383-0_8. ISBN 978-3-031-83382-3. Deza, Elena (2021). Mersenne Numbers and Fermat Numbers. Selected Chapters Of Number Theory: Special Numbers. Vol. 1. World
Number
Type of prime number
(April 1938). "On congruences involving Bernoulli numbers and the quotients of Fermat and Wilson" (PDF). Annals of Mathematics. 39 (2): 350–360. doi:10
Wilson_prime
Element of a nonstandard model of the reals, which can be infinite or infinitesimal
f} is said to be differentiable at a point x {\displaystyle x} if the quotient d f ( x , d x ) d x = st ( f ( x + d x ) − f ( x ) d x ) {\displaystyle
Hyperreal_number
Integer side lengths of a right triangle
Sequences, OEIS Foundation H. Darmon and L. Merel. Winding quotients and some variants of Fermat’s Last Theorem, J. Reine Angew. Math. 490 (1997), 81–100
Pythagorean_triple
1941 mathematics book
Tartaglia, Gerolamo Cardano, François Viète, John Neper, René Descartes, Pierre Fermat, Blas Pascal, Isaac Newton, Gottfried Leibnitz, Brook Taylor, Leonardo Euler
Álgebra_de_Baldor
Fiber bundle of the 3-sphere over the 2-sphere, with 1-spheres as fibers
fibred by spheres" John Armstrong, Simon Salamon, Twistor Topology of the Fermat Cubic, SIGMA 10 (2014), 061, 12 pages (arXiv:1310.7150) Bryant, Robert L
Hopf_fibration
Type of mathematical expression
during the last fifty years are related to Diophantine equations, such as Fermat's Last Theorem. Polynomials where indeterminates are substituted for some
Polynomial
Class of natural numbers with many divisors
2, 5, 2, 3, 7, ... (sequence A000705 in the OEIS). In other words, the quotient of two successive superior highly composite numbers is a prime number.
Superior highly composite number
Superior_highly_composite_number
Subgroup of the group of invertible n×n matrices
is central to number theory, with applications including the proof of Fermat's Last Theorem. The finite-dimensional representations of an algebraic group
Linear_algebraic_group
(Mathematical) decomposition into a product
inefficient for larger integers. For example, Pierre de Fermat was unable to discover that the 6th Fermat number 1 + 2 2 5 = 1 + 2 32 = 4 294 967 297 {\displaystyle
Factorization
View of mathematicians to consolidate two or more theories into a more generalized one
analytic geometry, which in the hands of mathematicians such as Descartes and Fermat showed that many theorems about curves and surfaces of special types could
Unifying theories in mathematics
Unifying_theories_in_mathematics
Complex number whose real and imaginary parts are both integers
field Eisenstein integer Eisenstein prime Hurwitz quaternion Proofs of Fermat's theorem on sums of two squares Proofs of quadratic reciprocity Quadratic
Gaussian_integer
Quadratic homogeneous polynomial in two variables
advances specific to binary quadratic forms still occur on occasion. Pierre Fermat stated that if p is an odd prime then the equation p = x 2 + y 2 {\displaystyle
Binary_quadratic_form
Association of one output to each input
, x 2 ) , {\displaystyle (r,\theta )=(x,x^{2}),} the plot obtained is Fermat's spiral. A function can be represented as a table of values. If the domain
Function_(mathematics)
American mathematician
polylogarithm functions. He discovered a short and elementary proof of Fermat's theorem on sums of two squares. Zagier won the Cole Prize in Number Theory
Don_Zagier
Algebraic variety defined within an affine space
point is a point that is rational over the rational numbers. For example, Fermat's Last Theorem asserts that the affine algebraic variety (it is a curve)
Affine_variety
Linear operator acting on modular forms
Eichler–Shimura congruence relation Hecke algebra Abstract algebra Wiles's proof of Fermat's Last Theorem Apostol, Tom M. (1990), Modular functions and Dirichlet series
Hecke_operator
Scientific principles enabling the use of the calculus of variations
The concept of a variational principle emerged from earlier work like Fermat's principle for optics in 1662. The first application of the variational
Variational_principle
FERMAT QUOTIENT
FERMAT QUOTIENT
Male
Romanian
 Romanian form of Hungarian Ferkó, FERKA means "French."
Surname or Lastname
Catalan
Catalan : from the medieval personal name Ferran, Catalan form of Ferdinand.Irish : variant of Farren.English : variant of Farrand.
Boy/Male
French
German.
Surname or Lastname
Slovenian
Slovenian : probably from a medieval form of the personal name Herman, from German Hermann.English : variant spelling of German.
Male
English
Anglicized form of Irish Gaelic Fearghal, FERGAL means "man of valor."
Boy/Male
African, Arabic, Australian, German, Muslim, Turkish
Joy
Boy/Male
French, German
Gray-haired; Adventurer
Male
English
 Anglicized form of Irish Gaelic Diarmaid, DERMOT means "without envy."
Male
English
 English name derived from Latin Hermanus, HERMAN means "army man." Compare with another form of Herman.
Girl/Female
Australian, German, Turkish
Beauty of Light
Male
Russian
(Герман) Russian form of Roman Latin Germanus, GERMAN means "from Germany."
Surname or Lastname
Polish, Czech, Slovak, Jewish (eastern Ashkenazic), and Slovenian
Polish, Czech, Slovak, Jewish (eastern Ashkenazic), and Slovenian : occupational name for a carter or drayman, the driver of a horse-drawn delivery vehicle, from Polish, Yiddish, and Slovenian furman, a loanword from German (see Fuhrmann).English : variant of Firmin.Americanized spelling of German Fuhrmann.
Male
English
Anglicized form of Irish Gaelic Diarmaid, KERMIT means "without envy."
Surname or Lastname
English
English : variant of Firmin.Muslim : variant of Farman.
Boy/Male
American, Christian, Gaelic, German, Hindu, Indian, Marathi
Free Man; Without Envy
Male
French
Variant spelling of French Ferrand, FERRANT means "ardent for peace."
Male
Turkish
Turkish name SERHAT means "frontier."
Boy/Male
Irish
It seems to come from fearghal “â€brave, courageous, valorous.â€â€ Fergal Mac Maolduin was an eighth-century High King renowned for his efforts in battle.
Surname or Lastname
Jewish (Ashkenazic)
Jewish (Ashkenazic) : from the Yiddish male personal name Berman, meaning ‘bear man’.Respelling of German Bermann 1–3.English : occupational name for a porter, Middle English berman (Old English bærmann, from beran ‘to carry’ + mann ‘man’).English : possibly from a Middle English personal name, Ber(e)man, which may be derived from Old English Beornmund, composed of the elements beorn ‘young man’, ‘warrior’ + mund ‘protection’.
Boy/Male
Teutonic American German
warrior.
FERMAT QUOTIENT
FERMAT QUOTIENT
Boy/Male
Latin
Go!den.
Boy/Male
Tamil
God name, Lord Shiva
Boy/Male
Greek
Defender; protector of mankind. Famous Bearer: Alexander the Great.
Boy/Male
Tamil
Beauty, Desire, Splendour, Ornament, Another name for Lakshmi, ** ornament, Luster, Loveliness
Boy/Male
Australian, Finnish
Earth- Worker; Farmer
Girl/Female
Muslim
Good wish, Spring season (Vasanth Ritu)
Male
German
German form of Late Latin Ægidius, ÄGIDIUS means "kid; young goat" or "shield of goatskin."
Girl/Female
Arabic, Australian, Hebrew
Tender Affection; Disease
Girl/Female
Arabic, Egyptian
Intelligent
Surname or Lastname
English
English : variant of Garbutt.
FERMAT QUOTIENT
FERMAT QUOTIENT
FERMAT QUOTIENT
FERMAT QUOTIENT
FERMAT QUOTIENT
n.
Rent for a farm; a farm; also, an abode; a place of residence; as, he let his land to ferm.
a.
Having a feat or trim body.
n.
Same as Feria.
n.
German-silver plate. See German silver, under German.
n.
That which is formal; the formal part.
n.
Alt. of Ferme
n.
A social party at which the german is danced.
n.
A hermit.
n.
Warrant; license; leave; permission; specifically, a written license or permission given to a person or persons having authority; as, a permit to land goods subject to duty.
a.
Done in due form, or with solemnity; according to regular method; not incidental, sudden or irregular; express; as, he gave his formal consent.
a.
Devoted to, or done in accordance with, forms or rules; punctilious; regular; orderly; methodical; of a prescribed form; exact; prim; stiff; ceremonious; as, a man formal in his dress, his gait, his conversation.
v. t. & i.
To ferment, or cause to ferment, again.
n.
The German language.
a.
Having the form or appearance without the substance or essence; external; as, formal duty; formal worship; formal courtesy, etc.
pl.
of Feria
n.
To drive or hunt out of a lurking place, as a ferret does the cony; to search out by patient and sagacious efforts; -- often used with out; as, to ferret out a secret.
adj.
German.
n.
To cause ferment of fermentation in; to set in motion; to excite internal emotion in; to heat.
pl.
of Herma
a.
Pertaining to the integument or skin of animals; dermic; as, the dermal secretions.