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Mathematical sequence
In mathematics, a Weyl sequence is a sequence from the equidistribution theorem proven by Hermann Weyl: The sequence of all multiples of an irrational
Weyl_sequence
Type of number sequence
sequence p(n) is uniformly distributed modulo 1. This was proven by Weyl and is an application of van der Corput's difference theorem. The sequence log(n)
Equidistributed_sequence
Algorithm that generates an approximation of a random number sequence
generators. A recent innovation is to combine the middle square with a Weyl sequence. This method produces high-quality output through a long period (see
Pseudorandom_number_generator
(rcb_generator)". Technical Report. Widynski, Bernard (2017). "Middle-Square Weyl Sequence RNG". arXiv:1704.00358 [cs.CR]. Kneusel, Ron (2018). Random Numbers
List of random number generators
List_of_random_number_generators
Non-tensorial representation of the spin group
3-dimensional Euclidean space are quaternionic, Weyl spinors in 4-dimensional Euclidean space are quaternionic, Weyl spinors in Lorentzian signature ( 3 , 1 )
Spinor
Pseudorandom number generator
Modifying the middle-square algorithm with a Weyl sequence improves period and randomness. To generate a sequence of n-digit pseudorandom numbers, an n-digit
Middle-square_method
Aspect of mathematical spectrum theory
Such a sequence is called a singular sequence or Weyl sequence. By sparsifying the sequence and applying Gram–Schmidt process, the sequence can be made
Essential_spectrum
Weyl group Weyl integral Weyl integration formula Weyl law Weyl metrics Weyl module Weyl notation Weyl quantization Weyl relations Weyl scalar Weyl semimetal
List of things named after Hermann Weyl
List_of_things_named_after_Hermann_Weyl
Algorithm for generating pseudo-randomized numbers
but is obviously non-random. Other values of c coprime to m produce a Weyl sequence, which is better distributed but still obviously non-random. Historically
Linear_congruential_generator
Class of pseudorandom number generators
with a simple additive counter modulo 232 (which he calls a "Weyl sequence" after Weyl's equidistribution theorem). This also increases the period by
Xorshift
Integer multiples of any irrational mod 1 are uniformly distributed on the circle
Hermann Weyl, Wacław Sierpiński and Piers Bohl, variants of this theorem continue to be studied to this day. In 1916, Weyl proved that the sequence a, 22a
Equidistribution_theorem
Finite sum formed using the exponential function
sequence xn, to show a degree of randomness. The techniques involved are ingenious and subtle. A variant of 'Weyl differencing' investigated by Weyl involving
Exponential_sum
Rotation of a circle by an angle of π times an irrational number
arithmetic Siegel disc Toeplitz algebra Phase locking (circle map) Weyl sequence Fisher, Todd (2007). "Circle Homomorphisms" (PDF). Archived from the
Irrational_rotation
Natural number
made by another famous mathematician, Hermann Weyl, in a published article. Sloane, N. J. A. (ed.). "Sequence A001358 (Semiprimes (or biprimes): products
57_(number)
Set of eigenvalues of a matrix
contains no convergent subsequence. Such a sequence is called a singular sequence (or a singular Weyl sequence). Example: λ = 0 ∈ σ e s s , 2 ( B ) {\displaystyle
Spectrum (functional analysis)
Spectrum_(functional_analysis)
pair of chambers a minimal sequence of reflections (in the Weyl group) to go from one chamber to the other. An adjacent sequence of chambers in a building
Weyl_distance_function
Type of vector space in math
unbounded Hermitian operators. Although other mathematicians such as Hermann Weyl and Norbert Wiener had already studied particular Hilbert spaces in great
Hilbert_space
Topics referred to by the same term
Weyl's criterion may refer to: Equidistributed sequence#Weyl's criterion in uniform distribution theory Essential spectrum#Weyl's criterion in spectral
Weyl's_criterion
Continuous progression from past to future
causality, being a component quantity of various measurements used to sequence events, to compare the duration of events (or the intervals between them)
Time
Function that "converges" to periodicity
studied by Harald Bohr and later generalized by Vyacheslav Stepanov, Hermann Weyl and Abram Samoilovitch Besicovitch, amongst others. There is also a notion
Almost_periodic_function
Natural number
A. (ed.). "Sequence A162328 (Number of reduced words of length n in the Weyl group D_17)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
900_(number)
Ranges of numbers contained in each other
In mathematics, a sequence of nested intervals can be intuitively understood as an ordered collection of intervals I n {\displaystyle I_{n}} on the real
Nested_intervals
Set of philosophical problems
points, hence there is no infinite sequence of movements, and the paradox is resolved. According to Hermann Weyl, the assumption that space is made of
Zeno's_paradoxes
Gamma matrices for arbitrary Clifford algebras
theory and supergravity. The Weyl–Brauer matrices provide an explicit construction of higher-dimensional gamma matrices for Weyl spinors. Gamma matrices also
Higher-dimensional gamma matrices
Higher-dimensional_gamma_matrices
Simple Lie group; the automorphism group of the octonions
groups are all given by the Weyl character formula. The dimensions of the smallest irreducible representations are (sequence A104599 in the OEIS): 1, 7
G2_(mathematics)
248-dimensional exceptional simple Lie group
groups are all given by the Weyl character formula. The dimensions of the smallest irreducible representations are (sequence A121732 in the OEIS): 1, 248
E8_(mathematics)
On when a family of real, continuous functions has a uniformly convergent subsequence
differential equations, Montel's theorem in complex analysis, and the Peter–Weyl theorem in harmonic analysis and various results concerning compactness of
Arzelà–Ascoli_theorem
Exact solution for the Einstein field equations
across the equatorial plane the odd order Weyl moments vanish. For the Kerr vacuum solutions, the first few Weyl moments are given by a 0 = M , a 1 = 0
Kerr_metric
German mathematician (1882–1935)
described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl, and Norbert Wiener as the most important woman in the history of mathematics
Emmy_Noether
Number with all digits equally frequent
the sequence ( b k x ) k = 0 ∞ {\displaystyle {\left(b^{k}x\right)}_{k=0}^{\infty }} is equidistributed modulo 1, or equivalently, using Weyl's criterion
Normal_number
Natural number
(March 2010). "Classification of hyperbolic Dynkin diagrams, root lengths and Weyl group orbits" (PDF). Journal of Physics A: Mathematical and Theoretical.
238_(number)
Vector bundle associated with conformal manifolds
the local twistor bundle. Local twistors can be represented as pairs of Weyl spinors on M (in general from different spin representations, determined
Local_twistor
Type of group in mathematics
for their images by g (for details, see Affine space § Subtraction and Weyl's axioms). The kernel of p is the vector space of the translations. So, the
Orthogonal_group
133-dimensional exceptional simple Lie group
groups are all given by the Weyl character formula. The dimensions of the smallest irreducible representations are (sequence A121736 in the OEIS): 1, 56
E7_(mathematics)
Group in group theory and physics
x_{n}^{\ell _{n}}~.} This algebra is called the Weyl algebra. It follows from abstract nonsense that the Weyl algebra Wn is a quotient of U ( h n ) {\displaystyle
Heisenberg_group
Compact astronomical body
stars. In 1926, Ralph Fowler showed that these stars are not like main-sequence stars, where thermal pressure balances gravity. Instead, a type of quantum-mechanical
Black_hole
78-dimensional exceptional simple Lie group
groups are all given by the Weyl character formula. The dimensions of the smallest irreducible representations are (sequence A121737 in the OEIS): 1, 27
E6_(mathematics)
Mathematical logic concept
interpretability, Gentzen's theory is stronger than Peano arithmetic. Hermann Weyl made the following comment in 1946 regarding the significance of Gentzen's
Gentzen's_consistency_proof
52-dimensional exceptional simple Lie group
groups are all given by the Weyl character formula. The dimensions of the smallest irreducible representations of F4 are (sequence A121738 in the OEIS): 1
F4_(mathematics)
Basic framework of mathematics
Birkhauser (1992). Weyl 1927 Comments on Hilbert's second lecture on the foundations of mathematics in van Heijenoort 1967:484. Although Weyl the intuitionist
Foundations_of_mathematics
Direct sum of irreducible modules
semisimple. Classic examples of simple, but not semisimple, rings are the Weyl algebras, such as the Q-algebra A = Q ⟨ x , y ⟩ / ⟨ x y − y x − 1 ⟩ , {\displaystyle
Semisimple_module
computation of the Riemann curvature tensor and associated objects (Ricci tensor, Weyl tensor). SageManifolds can also deal with generic affine connections, not
Sage_Manifolds
Group of symmetries of an n-dimensional hypercube
in geometry, the hyperoctahedral groups also appear in Lie theory, as the Weyl group associated to the symplectic groups and the orthogonal groups and their
Hyperoctahedral_group
Cosmological model
other aspects of cosmology. First, the boundary between aeons satisfies the Weyl curvature hypothesis, thus providing a certain kind of low-entropy past as
Conformal_cyclic_cosmology
Heterocyclic aromatic organic compound
Hetero-Rings with Maximum Unsaturation) — Part 2b". In Schaumann E (ed.). Houben-Weyl Methods of Organic Chemistry. Vol. E 9b/2 (4th Supplement ed.). Thieme. p
Purine
Objects in representation theory of Lie algebras
Bruhat ordering of the Weyl group. Let 0 ⊂ A ⊂ B ⊂ W λ {\displaystyle 0\subset A\subset B\subset W_{\lambda }} be a sequence of g {\displaystyle {\mathfrak
Verma_module
Theory of irregularities of distribution
history of discrepancy theory was the 1916 paper of Weyl on the uniform distribution of sequences in the unit interval. Discrepancy theory is based on
Discrepancy_theory
Algebraic operation on coordinate vectors
the dot product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number.
Dot_product
Combinatorial object in representation theory
occurring exactly once in the sum. Robinson–Schensted correspondence Schur–Weyl duality Knuth, Donald E. (1973), The Art of Computer Programming, Vol. III:
Young_tableau
Euclidean space without distance and angles
a subtraction satisfying Weyl's axioms. In this case, the addition of a vector to a point is defined from the first of Weyl's axioms. An affine subspace
Affine_space
Inequality in mathematical physics
of large coupling, that is for potentials β V {\displaystyle \beta V} the Weyl asymptotics lim β → ∞ 1 β γ + n 2 t r ( − Δ + β V ) − γ = L γ , n c l ∫ R
Lieb–Thirring_inequality
View that mathematics does not necessarily represent reality, but is more akin to a game
Magazine. 52 (4): 207–216. doi:10.1080/0025570X.1979.11976784. Reid, Constance; Weyl, Hermann (1970). Hilbert. Springer-Verlag. p. 198. ISBN 9783662286159. Gödel
Formalism (philosophy of mathematics)
Formalism_(philosophy_of_mathematics)
Part of spectral theory
with a linear ordinary differential equation. In his dissertation, Hermann Weyl generalized the classical Sturm–Liouville theory on a finite closed interval
Spectral theory of ordinary differential equations
Spectral_theory_of_ordinary_differential_equations
Foundational principle in quantum physics
momentum σp was derived by Earle Hesse Kennard later that year and by Hermann Weyl in 1928: σ x σ p ≥ ℏ 2 {\displaystyle \sigma _{x}\sigma _{p}\geq {\frac {\hbar
Uncertainty_principle
Summatory function of the Möbius function
_{n=1}^{\infty }{\frac {(-1)^{n-1}(2\pi )^{2n}}{(2n)!n\zeta (2n+1)x^{2n}}}.} Weyl conjectured that the Mertens function satisfied the approximate functional-differential
Mertens_function
subalgebra Unitarian trick Verma module Weyl 1. Hermann Weyl (1885 – 1955), a German mathematician 2. A Weyl chamber is one of the connected components
Glossary of Lie groups and Lie algebras
Glossary_of_Lie_groups_and_Lie_algebras
Indian mathematician (1933-2012)
Verma, Daya-Nand (1971), Mobius inversion for the Bruhat ordering on a Weyl Group, Ann. Sci. Ecole Norm. Sup. 4e Serie, t.4, pp. 393–398. J.E.Humphreys
Daya-Nand_Verma
Theorem about projections of coadjoint orbits of a connected compact Lie group
coordinates of Λ. Let K be a connected compact Lie group with maximal torus T and Weyl group W = NK(T)/T. Let their Lie algebras be k {\displaystyle {\mathfrak
Kostant's_convexity_theorem
Lattice in 8-dimensional space with special properties
Weyl group contains a subgroup of order 128·8! consisting of all permutations of the coordinates and all even sign changes. This subgroup is the Weyl
E8_lattice
Set of quantum operations
It has 2 1.5 n 2 + O ( n ) {\displaystyle 2^{1.5n^{2}+O(n)}} elements. Weyl group, which is generated by the SWAP and Hadamard gates. It has 2 n log
Clifford_group
Mathematician (1845–1918)
contemporaries such as Leopold Kronecker and Henri Poincaré and later from Hermann Weyl and L. E. J. Brouwer, while Ludwig Wittgenstein raised philosophical objections;
Georg_Cantor
1938 film by Michael Curtiz and William Keighley
received four nominations, winning three—Best Art Direction (Carl Jules Weyl), Best Film Editing (Ralph Dawson) and Best Original Score (Erich Wolfgang
The_Adventures_of_Robin_Hood
Theorem in functional analysis
analysis, the min-max theorem, or variational theorem, or Courant–Fischer–Weyl min-max principle, is a result that gives a variational characterization
Min-max_theorem
24-dimensional repeating pattern of points
then the Weyl vector of its norm 2 roots has integral length, and there is a similar construction of the Leech lattice using L and this Weyl vector. Conway
Leech_lattice
Mathematical operation on vector spaces
include the exterior algebra, the symmetric algebra, the Clifford algebra, the Weyl algebra, and the universal enveloping algebra in general. The exterior algebra
Tensor_product
Syntactically correct logical formula
and the inductively defined notion of well-formed formula has roots in Weyl's 1910 paper "Über die Definitionen der mathematischen Grundbegriffe". Thus
Well-formed_formula
Number representing a continuous quantity
Series in Mathematics. 2015-01-05. Wheeler, John Archibald (1986). "Hermann Weyl and the Unity of Knowledge: In the linkage of four mysteries—the "how come"
Real_number
Hypothetical computational model
of computation. The idea of Zeno machines was first discussed by Hermann Weyl in 1927; the name refers to Zeno's paradoxes, attributed to the ancient Greek
Zeno_machine
on Hochschild cochain complex. Dixmier conjecture: any endomorphism of a Weyl algebra is an automorphism. Fröberg conjecture on the Hilbert functions of
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Vector operator in vector calculus
variable i is used to refer to an arbitrary component, such as xi. The Voss-Weyl formula, which allows the divergence to be determined using simply partial
Divergence
Group of unitary complex matrices with determinant of 1
rank n − 1 is given by the set of diagonal matrices with determinant 1. The Weyl group of SU(n) is the symmetric group Sn, which is represented by signed
Special_unitary_group
Double cover Lie group of the special orthogonal group
orthogonal group SO(n) = SO(n, R), such that there exists a short exact sequence of Lie groups (when n ≠ 2) 1 → Z 2 → Spin ( n ) → SO ( n ) → 1. {\displaystyle
Spin_group
Rationality-focused community blog
and voted on them using the quadratic voting system, popularized by Glen Weyl and Vitalik Buterin. From the 2000+ posts published that year, the Review
LessWrong
Mathematical manifold theory
proof appeared in 1933, but he considered it "crude in the extreme". Hermann Weyl, one of the most brilliant mathematicians of the era, found himself unable
Hodge_theory
Self-intersecting compact surface, an immersion of the real projective plane
conformal geometry (Robert Bryant)". The Mathematical Heritage of Hermann Weyl (May 12–16, 1987, Duke University, Durham, North Carolina). Proc. Sympos
Boy's_surface
Hypothesis about sapient life and the universe
positive whole number, then wave impulses become distorted. In 1922, Hermann Weyl claimed that Maxwell's theory of electromagnetism can be expressed in terms
Anthropic_principle
Orthogonal symmetric polynomial family
positive Weyl chamber. ρ is the Weyl vector: half the sum of the positive roots; this is a special element of P+ in the interior of the positive Weyl chamber
Macdonald_polynomials
Schoenflies conjecture (disproved 1910) Tait's conjecture Von Neumann conjecture Weyl–Berry conjecture Williamson conjecture In contemporary mathematics, ideas
List_of_conjectures
Hungarian and American mathematician and physicist (1903–1957)
Rockefeller Foundation to study mathematics under David Hilbert. Hermann Weyl remembers how in the winter of 1926–1927 von Neumann, Emmy Noether, and he
John_von_Neumann
Mathematical model combining space and time
positive whole number, then wave impulses become distorted. In 1922, Hermann Weyl claimed that Maxwell's theory of electromagnetism can be expressed in terms
Spacetime
Four-dimensional analog of the dodecahedron
Another construction method uses quaternions and the Icosahedral symmetry of Weyl group orbits O ( Λ ) = W ( H 4 ) = I {\displaystyle O(\Lambda )=W(H_{4})=I}
120-cell
Integral expressing the amount of overlap of one function as it is shifted over another
finite-dimensional unitary representations form an orthonormal basis in L2 by the Peter–Weyl theorem, and an analog of the convolution theorem continues to hold, along
Convolution
Integral transform and linear operator
lectures he gave in Göttingen. The results were later published by Hermann Weyl in his dissertation. Schur improved Hilbert's results about the discrete
Hilbert_transform
Matrices similar to diagonal matrices
p-Schatten class is the set of all operators with finite p-Schatten norm. Weyl, von Neumann, and Kuroda, showed the following: For any p > 1 {\displaystyle
Diagonalizable_matrix
Construction in group theory
_{n}&\to &\mathrm {SL} &\to &\mathrm {PSL} \end{matrix}}} via the long exact sequence of a fibration. For both the reals and complexes, SL is a covering space
Projective_linear_group
Area of mathematics
(1973). "Normal forms for functions near degenerate critical points, the Weyl groups of Ak, Dk, Ek and Lagrangian singularities". Functional Analysis and
Catastrophe_theory
Canadian geometer (1907–2003)
University for a year as a Rockefeller Fellow, where he worked with Hermann Weyl, Oswald Veblen, and Solomon Lefschetz. Returning to Trinity for a year, he
Harold Scott MacDonald Coxeter
Harold_Scott_MacDonald_Coxeter
the Koksma–Hlawka inequality of Jurjen Ferdinand Koksma, is a bound for Weyl sums ∑ k = 0 m − 1 f ( x + k ω ) {\displaystyle \sum _{k=0}^{m-1}f(x+k\omega
Denjoy–Koksma_inequality
Algebra based on a vector space with a quadratic form
exterior algebra, in the same way that the Weyl algebra is a quantization of the symmetric algebra. Weyl algebras and Clifford algebras admit a further
Clifford_algebra
Straight path on a curved surface or a Riemannian manifold
length metric space are joined by a minimizing sequence of rectifiable paths, although this minimizing sequence need not converge to a geodesic. The metric
Geodesic
Type of mathematical space
image the subring H*(BT)W(G) of elements invariant under the action of the Weyl group, so one finally obtains the concise description H ∗ ( G / H ) ≅ H ∗
Generalized_flag_variety
Interpretation of quantum mechanics
that an observer who makes a sequence of measurements on a quantum system will in general have an apparently random sequence of results in their memory
Many-worlds_interpretation
Given a right module M over the Weyl algebra A n {\displaystyle A_{n}} , the Gelfand–Kirillov dimension of M over the Weyl algebra coincides with the dimension
Gelfand–Kirillov_dimension
Conjecture in the representation theory of Lie groups
( n − 1 ) {\displaystyle U(n-1)} occur in the restriction. By the Cartan–Weyl theory of highest weights, there is a classification of the irreducible representations
Gan–Gross–Prasad_conjecture
Property of a mathematical space
maximal length of chains of prime ideals in it, a chain of length n being a sequence P 0 ⊊ P 1 ⊊ ⋯ ⊊ P n {\displaystyle {\mathcal {P}}_{0}\subsetneq {\mathcal
Dimension
Mathematical function, in linear algebra
whereas its kernel has dimension 0 (it maps only the zero sequence to the zero sequence), its co-kernel has dimension 1. Since the domain and the target
Linear_map
Mathematical structures that allow quantum mechanics to be explained
Pascual Jordan, and the foundational work of John von Neumann, Hermann Weyl and Paul Dirac, and it became possible to unify several different approaches
Mathematical formulation of quantum mechanics
Mathematical_formulation_of_quantum_mechanics
Rational-number approximation of a real number
'expected' value. Hermann Weyl proved a basic result showing that this was equivalent to bounds for exponential sums formed from the sequence. This showed that
Diophantine_approximation
Algebra associated to any vector space
Multilinear algebra Symmetric algebra, the symmetric analog Tensor algebra Weyl algebra, a quantum deformation of the symmetric algebra by a symplectic form
Exterior_algebra
Type of symmetric polynomials in mathematics
known as the bialternant formula of Jacobi. It is a special case of the Weyl character formula. This is a symmetric function because the numerator and
Schur_polynomial
WEYL SEQUENCE
WEYL SEQUENCE
Girl/Female
Muslim
Well-established, Well-found
Surname or Lastname
English
English : topographic name for someone who lived near a spring or stream, Middle English well(e) (Old English well(a)).German : from a short form of the personal names Wallo, Walilo.German : nickname from Middle High German wël ‘round’.
Boy/Male
Hungarian
Well.
Surname or Lastname
English
English : variant spelling of Way.Dutch : variant of Wei.
Girl/Female
Indian
Well-established, Well-found
Girl/Female
African, Arabic, Muslim
Well-ordered; Well-arranged
Girl/Female
Indian
Well-arranged, Well-ordered
Boy/Male
Muslim
Well-established, Well-found
Girl/Female
Biblical
Well educated, well brought up.
Boy/Male
Tamil
Hitakrit | ஹிதாகà¯à®°à®¿à®¤Â
Well wisher, Well to do
Hitakrit | ஹிதாகà¯à®°à®¿à®¤Â
Girl/Female
Tamil
Hitishini | ஹிதீஷீநீ
Well-wisher
Hitishini | ஹிதீஷீநீ
Boy/Male
Tamil
Well born
Girl/Female
Muslim
Well-arranged, Well-ordered
Boy/Male
Indian
Well-established, Well-found
Girl/Female
American, Australian, Christian, Danish, Finnish, French, German, Greek, Portuguese, Swedish
Eloquent; Well-spoken; To Talk Well
Girl/Female
Tamil
Well wisher
Biblical
well educated; well brought up
Girl/Female
Gujarati, Hindu, Indian
Well Wisher; Friend; Well-wisher
Boy/Male
Hindu
Well wisher, Well to do
Boy/Male
Irish
Well.
WEYL SEQUENCE
WEYL SEQUENCE
Girl/Female
Muslim/Islamic
Calmness quitness
Boy/Male
Tamil
The Sun
Boy/Male
Indian
Civilized
Surname or Lastname
English and Scottish
English and Scottish : from the usual vernacular English form (recorded from the 13th century onward) of the New Testament Greek personal name Andreas.The surname Andrew was first brought to North America from England by Robert Andrew (died 1668), who settled in Boxford, MA.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Brilliant
Boy/Male
Muslim
Zachary
Boy/Male
Hindu, Indian
God Muruga
Surname or Lastname
English
English : nickname for a carefree person, from Old English carlēas (a compound of caru ‘grief’, ‘care’ + lēas ‘free from’, ‘without’).
Boy/Male
Australian, Scottish
Son of Laren
Girl/Female
Tamil
New bright light.aries sign
WEYL SEQUENCE
WEYL SEQUENCE
WEYL SEQUENCE
WEYL SEQUENCE
WEYL SEQUENCE
v. t.
To promote the weal of; to cause to be prosperous.
n.
The state or condition of being well; welfare; happiness; prosperity; as, virtue is essential to the well-being of men or of society.
n.
Prosperity; happiness; well-being; weal.
p. pr. & vb. n.
of Well
a.
Safe; as, a chip warranted well at a certain day and place.
a. & adv.
Well.
a.
Being in health; sound in body; not ailing, diseased, or sick; healthy; as, a well man; the patient is perfectly well.
v. t.
To pour forth, as from a well.
a.
Good in condition or circumstances; desirable, either in a natural or moral sense; fortunate; convenient; advantageous; happy; as, it is well for the country that the crops did not fail; it is well that the mistake was discovered.
n.
One who wishes well, or means kindly.
a.
Being well folded.
a.
Correctly informed; provided with information; well furnished with authentic knowledge; intelligent.
a.
Well put together; having symmetry of parts.
a.
Speaking well; speaking with fitness or grace; speaking kindly.
a.
Common weal.
a.
Polite; well-bred; complaisant; courteous.
a.
Prosperous; well.
imp. & p. p.
of Well
a.
Spoken with propriety; as, well-spoken words.
a.
Balanced or considered with reference to public weal.