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Mathematical equation linking e, i and π
Euler's identity (also known as Euler's equation) is the equality e i π + 1 = 0 {\displaystyle e^{i\pi }+1=0} where e {\displaystyle e} is Euler's number
Euler's_identity
Product of sums of four squares expressed as a sum of four squares
In mathematics, Euler's four-square identity says that the product of two numbers, each of which is a sum of four squares, is itself a sum of four squares
Euler's_four-square_identity
Complex exponential in terms of sine and cosine
mathematics". When x = π, Euler's formula may be rewritten as eiπ = −1 or eiπ + 1 = 0, which is known as Euler's identity. In 1714, the English mathematician
Euler's_formula
Constant equal to twice pi
= 1 (which he also called "Euler's identity") is more fundamental and meaningful. John Conway noted that Euler's identity is a specific case of the general
Tau_(mathematics)
Base of natural logarithms
comparable in significance to 0, 1, π, and i—all five of which appear in Euler's identity e i π + 1 = 0 {\displaystyle e^{i\pi }+1=0} . Like π, the constant
E_(mathematical_constant)
Swiss mathematician (1707–1783)
Louhivaara, I. S.; Winkler, J., eds. (May 1983). Zum Werk Leonhard Eulers: Vorträge des Euler-Kolloquiums im Mai 1983 in Berlin (PDF). Birkhäuser Verlag. doi:10
Leonhard_Euler
Polynomial whose nonzero terms all have the same degree
{d+n-1}{d}}={\frac {(d+n-1)!}{d!(n-1)!}}.} Homogeneous polynomial satisfy Euler's identity for homogeneous functions. That is, if P is a homogeneous polynomial
Homogeneous_polynomial
two-square identity Candido's identity Cassini and Catalan identities Degen's eight-square identity Difference of two squares Euler's four-square identity Euler's
List of mathematical identities
List_of_mathematical_identities
Approach to finding numerical solutions of ordinary differential equations
In mathematics and computational science, the Euler method (also called the forward Euler method) is a first-order numerical procedure for solving ordinary
Euler_method
mathematician Leonhard Euler (1707–1783), who made many important discoveries and innovations. These include functions, equations, formulas, identities, numbers (single
List of topics named after Leonhard Euler
List_of_topics_named_after_Leonhard_Euler
Number, approximately 3.14
plane. Setting φ = π {\displaystyle \varphi =\pi } in Euler's formula results in Euler's identity, celebrated in mathematics due to it containing five
Pi
Use of complex numbers to evaluate integrals
trigonometric identities or integration by parts, and is sufficiently powerful to integrate any rational expression involving trigonometric functions. Euler's formula
Integration using Euler's formula
Integration_using_Euler's_formula
Analytic function in mathematics
{1}{1-p^{-s}}}\cdots } Both sides of the Euler product formula converge for Re(s) > 1. The proof of Euler's identity uses only the formula for the geometric
Riemann_zeta_function
Major unsolved problem in transcendental number theory
{\displaystyle z_{1}=1} and z 2 = i π {\displaystyle z_{2}=i\pi } . Euler's identity states that e i π + 1 = 0 {\displaystyle e^{i\pi }+1=0} . If Schanuel's
Schanuel's_conjecture
Identity expressing an integral as a sum
dx=(-1)^{n}(n+1)^{-(n+1)}\int _{0}^{\infty }u^{n}e^{-u}\,du.} By Euler's integral identity for the Gamma function, one has ∫ 0 ∞ u n e − u d u = n ! , {\displaystyle
Sophomore's_dream
Fundamental result in geometry
dot product and trigonometric identities, or more quickly by reducing to the two-dimensional case and using Euler's identity. It was unknown for a long time
Sum_of_angles_of_a_triangle
formula in mathematics". Euler's identity is a special case of this: e i π + 1 = 0 . {\displaystyle e^{i\pi }+1=0\,.} This identity is particularly remarkable
Contributions of Leonhard Euler to mathematics
Contributions_of_Leonhard_Euler_to_mathematics
2013 book by Simon Singh
Fermat's Last Theorem, which Singh has written a popular book about, and Euler's identity. A chapter is dedicated to the "Homer3" segment from Treehouse of Horror
The Simpsons and Their Mathematical Secrets
The_Simpsons_and_Their_Mathematical_Secrets
Mathematical function, denoted exp(x) or e^x
\mathbb {Z} .} This results from Euler's identity e i π = − 1 {\displaystyle e^{i\pi }=-1} and the functional identity. The complex conjugate of the
Exponential_function
Number of integers coprime to and less than n
\ln(x)} or log e ( x ) {\displaystyle \log _{e}(x)} . In number theory, Euler's totient function counts the positive integers up to a given integer n {\displaystyle
Euler's_totient_function
Specific, usually well-known application of a mathematical rule or law
case that n is a prime number. Euler's identity e i π = − 1 {\displaystyle e^{i\pi }=-1} is a special case of Euler's formula which states "for any real
Special_case
Special case of the Euler-Lagrange equations
Beltrami identity, named after Eugenio Beltrami, is a special case of the Euler–Lagrange equation in the calculus of variations. The Euler–Lagrange equation
Beltrami_identity
Vector calculus formulas relating the bulk with the boundary of a region
In mathematics, Green's identities are a set of three identities in vector calculus relating the bulk with the boundary of a region on which differential
Green's_identities
Difference between logarithm and harmonic series
Bibcode:2021Evolu..75.2624C. doi:10.1111/evo.14372. PMID 34606622. S2CID 238357410. "Eulers Constant". num.math.uni-goettingen.de. Retrieved 2024-10-19. Waldschmidt
Euler's_constant
introduced by Jacob Bernoulli in 1683. More than half a century later, Euler, who had been a student of Jacob's younger brother Johann, proved that e
Proof_that_e_is_irrational
2011 studio album by Van der Graaf Generator
digits of the number π. The second track, "Mathematics" refers to Euler's identity, sometimes known as the mathematical poem. The album's release signals
A_Grounding_in_Numbers
Doubling time e-folding Elimination half-life Error exponent Euler's formula Euler's identity e (mathematical constant) Exponent Exponent bias Exponential
List_of_exponential_topics
Compounding sum paid for the use of money
logarithm Exponential function Applications Compound interest Euler's formula Euler's identity Half-lifes Exponential growth and decay Probability theory
Compound_interest
Number with a real and an imaginary part
involved functions as power series. As a special case, this includes Euler's identity exp ( i π ) = − 1. {\displaystyle \exp(i\pi )=-1.} For any positive
Complex_number
Time for exponential decay to remove half of a quantity
logarithm Exponential function Applications Compound interest Euler's formula Euler's identity Half-lifes Exponential growth and decay Probability theory
Half-life
Mathematical function
}p(k)q^{k}} where p {\displaystyle p} is the partition function. The Euler identity, also known as the Pentagonal number theorem, is ϕ ( q ) = ∑ n = − ∞
Euler_function
infinite series, infinite product, or other types of limit of a sequence. Euler proved that the number e is represented as the infinite simple continued
List_of_representations_of_e
Novel by Yōko Ogawa
triangular number Ruth-Aaron pair Mersenne prime Napier's constant Euler's identity Fermat's Last Theorem Artin's conjecture The novel was the inaugural
The Housekeeper and the Professor
The_Housekeeper_and_the_Professor
Logarithm to the base of the mathematical constant e
is the inverse function of the exponential function, leading to the identities: e ln x = x if x ∈ R + ln e x = x if x ∈ R {\displaystyle {\begin{aligned}e^{\ln
Natural_logarithm
these are identities involving certain functions of one or more angles. They are distinct from triangle identities, which are identities potentially
List of trigonometric identities
List_of_trigonometric_identities
Polynomial sequence
Number". MathWorld. Weisstein, Eric W. "Euler's Number Triangle". MathWorld. Weisstein, Eric W. "Worpitzky's Identity". MathWorld. Weisstein, Eric W. "Second-Order
Eulerian_number
Theorem in transcendental number theory
well, and then by the Lindemann–Weierstrass theorem eπi = −1 (see Euler's identity) would be transcendental, a contradiction. Therefore π is not algebraic
Lindemann–Weierstrass_theorem
Mathematical polynomial factorization
inaccurately) that it could be found in a letter from Leonhard Euler to Christian Goldbach. The identity can be proven simply by multiplying the two terms of the
Sophie_Germain's_identity
Used to count, measure, and label
+i\sin \theta =e^{i\theta }.} A special case of this formula yields Euler's identity: e i π + 1 = 0 {\displaystyle e^{i\pi }+1=0} showing a profound connection
Number
Aesthetic value of mathematics
with the two most common mathematical symbols (+, =). Euler's identity is a special case of Euler's formula, which the physicist Richard Feynman called
Mathematical_beauty
Summation formula
and on identities for periodic Bernoulli functions. Cesàro summation Euler summation Gauss–Kronrod quadrature formula Darboux's formula Euler–Boole summation
Euler–Maclaurin_formula
Popular mathematics book from 1940
multiplication by i {\displaystyle i} as rotating by 90° counterclockwise, and Euler's identity e i π + 1 = 0 {\displaystyle e^{i\pi }+1=0} . Chapter IV ("Assorted
Mathematics and the Imagination
Mathematics_and_the_Imagination
Mathematical identity
In the analytic theory of continued fractions, Euler's continued fraction formula is an identity connecting a certain very general infinite series with
Euler's continued fraction formula
Euler's_continued_fraction_formula
Mathematical identities
The following are important identities involving derivatives and integrals in vector calculus. For a function f ( x , y , z ) {\displaystyle f(x,y,z)}
Vector_calculus_identities
Mathematical function
that there is no analogue in C p {\displaystyle \mathbb {C} _{p}} of Euler's identity, e 2 π i = 1 {\displaystyle e^{2\pi i}=1} . This is a corollary of
P-adic_exponential_function
Set of values which satisfy a given set of equations
respect to x ∈ C {\displaystyle x\in \mathbb {C} } is S = 2πZ (see Euler's identity). Equation solving Extraneous and missing solutions Equaliser (mathematics)
Solution_set
Mathematical expression
}}}}}}}}} where z is any real number such that z < −1/4. Euler proved the following identity: a 0 + a 0 a 1 + a 0 a 1 a 2 + ⋯ + a 0 a 1 a 2 ⋯ a n = a
Continued_fraction
Second-order partial differential equation describing motion of mechanical system
up Euler–Lagrange equation in Wiktionary, the free dictionary. Lagrangian mechanics Hamiltonian mechanics Analytical mechanics Beltrami identity Functional
Euler–Lagrange_equation
Geometric theorem about isosceles triangles
Carl Friedrich Gauss supposedly once suggested that understanding Euler's identity might play a similar role, as a benchmark indicating whether someone
Pons_asinorum
Constant e raised to the power of pi
number theory, the study of questions related to transcendental numbers Euler's identity Gelfond–Schneider constant "A039661 - OEIS". oeis.org. Retrieved 2024-10-27
Gelfond's_constant
In mathematics, a non-algebraic number
non-zero algebraic number. Then, since eiπ = −1 is algebraic (see Euler's identity), iπ must be transcendental. But since i is algebraic, π must therefore
Transcendental_number
Function of the coefficients of a polynomial that gives information on its roots
partial derivative is not necessarily a zero of the polynomial (see Euler's identity for homogeneous polynomials). In the case of a homogeneous bivariate
Discriminant
Problem of constructing equal-area shapes
Euler's number e {\displaystyle e} , shown by Charles Hermite in 1873, with Euler's identity e i π = − 1. {\displaystyle e^{i\pi }=-1.} This identity
Squaring_the_circle
Set of quasilinear hyperbolic equations governing adiabatic and inviscid flow
Bernoulli's theorem is a direct consequence of the Euler equations. The vector calculus identity of the cross product of a curl holds: v × ( ∇ × F
Euler equations (fluid dynamics)
Euler_equations_(fluid_dynamics)
Method of evaluating certain integrals along paths in the complex plane
outside the branch cut, we have gained 2π in argument along γ. (By Euler's identity, eiπ represents the unit vector, which therefore has π as its log.
Contour_integration
Result in field theory about zeros of formal power series
0}|a_{n}|} . A corollary of the theorem is that there is no analogue of Euler's identity, e 2 π i = 1 {\displaystyle e^{2\pi i}=1} in C p {\displaystyle \mathbb
Strassmann's_theorem
Coordinates comprising a distance and an angle
Wiley. p. 620. ISBN 978-1-119-37058-1. Smith, Julius O. (2003). "Euler's Identity". Mathematics of the Discrete Fourier Transform (DFT). W3K Publishing
Polar_coordinate_system
Expression of a product of sums of squares as a sum of squares
\end{aligned}}} The identity is also known as the Diophantus identity, as it was first proved by Diophantus of Alexandria. It is a special case of Euler's four-square
Brahmagupta–Fibonacci identity
Brahmagupta–Fibonacci_identity
Relation between sine and cosine
The Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric
Pythagorean trigonometric identity
Pythagorean_trigonometric_identity
Dimensionality reduction of graph-based semantic data objects [machine learning task]
substitute the L1 and L2 norm of TransE. RotatE: RotatE is inspired by the Euler's identity and involves the use of Hadamard product to represent a relation r
Knowledge_graph_embedding
Discrete Fourier transform for prime sizes
periodic in N, and also that e 2 π i = 1 {\displaystyle e^{2\pi i}=1} (Euler's identity). Thus, all indices and exponents are taken modulo N as required by
Rader's_FFT_algorithm
Infinite product identity introduced by Watson
Jacobi triple product identity, and is the Macdonald identity for a certain non-reduced affine root system. It is related to Euler's pentagonal number theorem
Quintuple_product_identity
Ordinary differential equation
In mathematics, an Euler–Cauchy equation, also known as a Cauchy–Euler equation, equidimensional equation, or Euler's equation, is a linear ordinary differential
Cauchy–Euler_equation
Buffon's needle Cadaeic Cadenza Chronology of computation of π Circle Euler's identity Six nines in pi Gauss–Legendre algorithm Gaussian function History
List_of_topics_related_to_π
Counting song
involve concepts including geometric progressions, differentials, Euler's identity, complex numbers, summation notation, the Cantor set, the Fibonacci
99_Bottles_of_Beer
reality or approaches to it built out of math. If such constructs as Euler's identity are true then they are true as a map of the human mind and cognition
Philosophy_of_mathematics
2014– Fine art Mathematical concepts (toposes, Brown representability, Euler's identity, etc) play a central role in his artwork. Séquin, Carlo 1941– Digital
List_of_mathematical_artists
Disproved conjecture in number theory
In number theory, Euler's conjecture is a disproved conjecture related to Fermat's Last Theorem. It was presented by Leonhard Euler in 1778 to the Academy
Euler's sum of powers conjecture
Euler's_sum_of_powers_conjecture
Group obtained by aggregating similar elements of a larger group
( 2 π i a ) {\displaystyle f(a+\mathbb {Z} )=\exp(2\pi ia)} (see Euler's identity). If G {\displaystyle G} is the group of invertible 3 × 3 {\displaystyle
Quotient_group
6th episode of the 7th season of The Simpsons
near-miss" with a computer program. Other equations that appear are Euler's identity and P = NP, which is a reference to the famous P vs NP problem, and
Treehouse_of_Horror_VI
whose kernel contains a range of the Euler–Lagrange operator of L. Any Euler–Lagrange operator obeys Noether identities which therefore are separated into
Noether_identities
Laser cooling technique
_{2}{\frac {1}{\sqrt {2}}}(E_{0}'+E_{0})} Where we utilize Euler's identity to simplify the polarization vectors ϵ → {\displaystyle {\vec {\epsilon
Polarization_gradient_cooling
Identity relating to differential equations
In mathematics, Abel's identity (also called Abel's formula or Abel's differential equation identity) is an equation that expresses the Wronskian of two
Abel's_identity
Integers occurring in the coefficients of the Taylor series of 1/cosh t
\end{aligned}}} W. Zhang obtained the following combinational identities concerning the Euler numbers. For any prime p {\displaystyle p} , we have ( − 1
Euler_number
Simple quantum mechanical system
{\omega _{r}}{2}}\right)\sigma _{z}\right)\psi ,} which by Euler's identity becomes ∂ ψ ∂ t = i ( ω 1 σ x + ( w 0 + ω r 2 ) σ z ) ψ {\displaystyle
Two-state_quantum_system
Method of integration for rational functions
145–146. ISBN 978-0867202939. This article incorporates material from Eulers Substitutions For Integration on PlanetMath, which is licensed under the
Euler_substitution
Formula for 3D vector rotation
tedious, to check that a2 + b2 + c2 + d2 = 1. (This is essentially Euler's four-square identity.) Any central rotation in three dimensions is uniquely determined
Euler–Rodrigues_formula
Extension of the factorial function
}t^{z-1}e^{-t}\,dt} converges absolutely, and is known as the Euler integral of the second kind. (Euler's integral of the first kind is the beta function.) The
Gamma_function
Uses of the constant
1+\arctan 2+\arctan 3.} e i π + 1 = 0 {\displaystyle e^{i\pi }+1=0} (Euler's identity) The following equivalences are true for any complex z {\displaystyle
List_of_formulae_involving_π
Theorem: (cos x + i sin x)^n = cos nx + i sin nx
de Moivre's formula (also known as de Moivre's theorem and de Moivre's identity) states that for any real number x and integer n, ( cos x + i sin x
De_Moivre's_formula
{\displaystyle A'+fB} where A ′ ∈ J f {\displaystyle A'\in J_{f}} . Note the Euler identity f = ∑ Z j ∂ f ∂ Z j {\displaystyle f=\sum Z_{j}{\frac {\partial f}{\partial
Jacobian_ideal
American composer
albums, including the 2018 Magic Rectangle, Infinity, Four-Momentum, Euler's Identity; Involution (2020); and the full-length Bohlen-Pierce scale mini-movie
Elaine_Walker_(composer)
Study of numbers that are not solutions of polynomials with rational coefficients
with the algebraic properties of e, and consequently of π through Euler's identity. This work centred on use of the so-called auxiliary function. These
Transcendental_number_theory
Fluid dynamics Euler's formula e i φ = cos φ + i sin φ {\displaystyle e^{i\varphi }=\cos \varphi +i\sin \varphi } Euler's identity e i π + 1 = 0 {\displaystyle
List of Swiss inventions and discoveries
List_of_Swiss_inventions_and_discoveries
"Smoothing" integral transform
constant and i {\displaystyle i} is the imaginary unit, and applying Euler's identity, one sees that the Weierstrass transform of the function cos ( b
Weierstrass_transform
Mathematical strategy
Spatial rotations in three dimensions can be parametrized using both Euler angles and unit quaternions. This article explains how to convert between the
Conversion between quaternions and Euler angles
Conversion_between_quaternions_and_Euler_angles
Overview of computer engineering topics
tree Dadda multiplier Multiply–accumulate operation Big O notation Euler's identity Series and parallel circuits RLC circuit Transistor Operational amplifier
Computer engineering compendium
Computer_engineering_compendium
Diagram that shows all possible logical relations between a collection of sets
as by Christian Weise in 1712 (Nucleus Logicoe Wiesianoe) and Leonhard Euler in 1768 (Letters to a German Princess). The idea was popularised by Venn
Venn_diagram
exponentials "just misses" when one tries to apply it to four. Using Euler's identity this conjecture implies the transcendence of many numbers involving
Four_exponentials_conjecture
Movement with a fixed point is rotation
In geometry, Euler's rotation theorem states that, in three-dimensional space, any displacement of a rigid body such that a point on the body remains
Euler's_rotation_theorem
Class of partial differential equations
In mathematical physics and differential geometry, the Euler–Arnold equations are a class of partial differential equations (PDEs) that describe the geodesic
Euler–Arnold_equation
Sum of inverse squares of natural numbers
squares. It was first posed by Pietro Mengoli in 1650 and solved by Leonhard Euler in 1734, and read on 5 December 1735 in The Saint Petersburg Academy of
Basel_problem
Mathematical for factoring integers
Euler's method can be applied. The Brahmagupta–Fibonacci identity states that the product of two sums of two squares is a sum of two squares. Euler's
Euler's_factorization_method
Mathematical theorem
(see below); that is, the second-order partial derivatives satisfy the identities ∂ ∂ x i ( ∂ f ∂ x j ) = ∂ ∂ x j ( ∂ f ∂ x i ) . {\displaystyle {\frac
Symmetry of second derivatives
Symmetry_of_second_derivatives
Rigid body equations in classical mechanics
the Newton–Euler equations describe the combined translational and rotational dynamics of a rigid body. Traditionally the Newton–Euler equations is
Newton–Euler_equations
Special constant related to the exponential integral
In mathematics, the Gompertz constant or Euler–Gompertz constant, denoted by δ {\displaystyle \delta } , appears in integral evaluations and as a value
Gompertz_constant
2008 mathematics book
Euler's Gem: The Polyhedron Formula and the Birth of Topology is a book on the formula V − E + F = 2 {\displaystyle V-E+F=2} for the Euler characteristic
Euler's_Gem
Mathematical identity found by Jacobi in 1829
Jacobi's proof relies on Euler's pentagonal number theorem, which is itself a specific case of the Jacobi triple product identity. Let x = q q {\displaystyle
Jacobi_triple_product
detection Ethernet Ethical code Euclidean geometry Euler–Lagrange equation Euler's formula Euler's identity Exponential stability Extended Kalman filter External
Index of electrical engineering articles
Index_of_electrical_engineering_articles
Collection of proofs of equations involving trigonometric functions
defining trigonometric functions, and the proofs of the trigonometric identities between them depend on the chosen definition. The oldest and most elementary
Proofs of trigonometric identities
Proofs_of_trigonometric_identities
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EULERS IDENTITY
EULERS IDENTITY
Female
English
Variant spelling of English unisex Hillary, ELLERY means "joyful; happy."Â
Female
Welsh
Welsh legend name of the daughter of Brychan, possibly derived from the name of a river, from the word alar, ELERI means "more than full; overflowing."
Female
English
Pet form of Roman Latin Julia, JULES means "descended from Jupiter (Jove)."
Female
Native American
Native American Algonquin name PULES means "pigeon."
Surname or Lastname
English
English : variant of Allard.Perhaps a shortened form of Swedish Ellertsson (see Ellertson).
Surname or Lastname
North German
North German : patronymic from the personal name Eggert (see Eckert).Dutch : patronymic from the personal name Egger 2.English : variant of Edgar.
Surname or Lastname
English (mainly Yorkshire)
English (mainly Yorkshire) : patronymic from Seller 1–4.
Surname or Lastname
English
English : variant of Elder.
Surname or Lastname
English
English : variant of Hillary.William Ellery, a signer of the Declaration of Independence, was born in Newport, RI, in 1727.
Surname or Lastname
English
English : variant of Feller.
Boy/Male
Teutonic English German Greek
Dwells by the alder trees.
Male
French
Variant form of Norman French Eudo, EUDES means "child."Â
Surname or Lastname
English
English : origin uncertain, perhaps a variant of Allard.
Male
English
From an Old English place name ELLERY means "island of elder trees."Â
Boy/Male
Danish, German, Swedish
Edge of the Sword; Brave; Hardy; Strong Point of a Sword
Male
German
Frisian and Scandinavian form of German Eckhard, EILERT means "strong edge."
Surname or Lastname
English
English : variant of Buller 2.
Surname or Lastname
Respelling of German Ehlers.English
Respelling of German Ehlers.English : habitational name from High and Low Ellers in West Yorkshire, named from Old English alras, plural of alor ‘alder’.
Male
English
 French form of Roman Latin Julius, JULES means "descended from Jupiter (Jove)." In use by the English.
Surname or Lastname
English
English : metronymic from Ellen.Dutch : patronymic from Ellen.
EULERS IDENTITY
EULERS IDENTITY
EULERS IDENTITY
EULERS IDENTITY
EULERS IDENTITY
EULERS IDENTITY
EULERS IDENTITY
n. pl.
Man eaters; cannibals.
n.
A straight or curved strip of wood, metal, etc., with a smooth edge, used for guiding a pen or pencil in drawing lines. Cf. Rule, n., 7 (a).
n.
A government in the hands of five persons; five joint rulers.
n. pl.
Eaters of horseflesh.
a.
A person who, on account of his age, occupies the office of ruler or judge; hence, a person occupying any office appropriate to such as have the experience and dignity which age confers; as, the elders of Israel; the elders of the synagogue; the elders in the apostolic church.
n.
One who enters; a beginner.
n. pl.
Cannibals; man-eaters; anthropophagi.
adv. & conj.
See Else.
n.
The tincture red, indicated in seals and engraved figures of escutcheons by parallel vertical lines. Hence, used poetically for a red color or that which is red.
n.
Government by many rulers; polyarchy.
n.
One who pules; one who whines or complains; a weak person.
n.
A stickler for rules; a slave of rules
a.
One who rules or reigns; a governor; a ruler.
a.
Pertaining to Euler, a German mathematician of the 18th century.
n.
A government by seven persons; also, a country under seven rulers.
a.
Producing or bearing tubers.
a.
Tending to cause ulcers; exulceratory.
n.
A gathering of buyers and sellers, assembled at a particular place with their merchandise at a stated or regular season, or by special appointment, for trade.
n.
One who rules; one who exercises sway or authority; a governor.
n.
One who enters a caveat.
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