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Polynomial invariant of framed links
mathematical field of knot theory, the bracket polynomial (also known as the Kauffman bracket) is a polynomial invariant of framed links. Although it
Bracket_polynomial
Mathematical invariant of a knot or link
bracket polynomial is a Laurent polynomial in the variable A {\displaystyle A} with integer coefficients. First, we define the auxiliary polynomial (also
Jones_polynomial
American mathematician
best known for the introduction and development of the bracket polynomial and the Kauffman polynomial. Kauffman was valedictorian of his graduating class
Louis_Kauffman
Brackets as used in mathematical notation
coefficient Bracket polynomial Bra-ket notation Delimiter Dyck language Frölicher–Nijenhuis bracket Iverson bracket Nijenhuis–Richardson bracket, also known
Bracket_(mathematics)
knot polynomials. Alexander polynomial (and its variant, the Alexander-Conway polynomial) Bracket polynomial HOMFLY polynomial Jones polynomial Kauffman
Knot_polynomial
Two-variable polynomial knot invariant
Jones polynomial is a special case of the Kauffman polynomial, as the L polynomial specializes to the bracket polynomial. The Kauffman polynomial is related
Kauffman_polynomial
Polynomials arising in knot theory
theory, the HOMFLY polynomial or HOMFLYPT polynomial, sometimes called the generalized Jones polynomial, is a 2-variable knot polynomial, i.e. a knot invariant
HOMFLY_polynomial
Knot invariant
In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type. James Waddell Alexander
Alexander_polynomial
Invariant of mathematical knots
cochain complex. It may be regarded as a categorification of the Jones polynomial. It was developed in the late 1990s by Mikhail Khovanov. To any link diagram
Khovanov_homology
Algorithms for zeros of functions
the function by a polynomial of low degree, which takes the same values at these approximate roots. Then the root of the polynomial is computed and used
Root-finding_algorithm
conditions for polynomials in derivatives of modular forms to be modular forms, and Cohen (1975) found the explicit examples of such polynomials that give
Rankin–Cohen_bracket
Boolean polynomials as sums of monomials
mod 2, the brackets are opened, and the resulting Boolean expression is simplified. This simplification results in the Zhegalkin polynomial. Let c 0 ,
Algebraic_normal_form
Orthogonal symmetric polynomial family
In mathematics, Macdonald polynomials Pλ(x; t,q) are a family of orthogonal symmetric polynomials in several variables, introduced by Macdonald in 1987
Macdonald_polynomials
the bracket ring is the subring of the ring of polynomials k[x11,...,xdn] generated by the d-by-d minors of a generic d-by-n matrix (xij). The bracket ring
Bracket_ring
the Jones polynomial in 1984. This led to other knot polynomials such as the bracket polynomial, HOMFLY polynomial, and Kauffman polynomial. Jones was
History_of_knot_theory
Algebraic study of differential equations
solutions, similarly as polynomial algebras are used for the study of algebraic varieties, which are solution sets of systems of polynomial equations. Weyl algebras
Differential_algebra
\{\{x\}\}} of the variable in the circle group occur, under the name "bracket polynomials". Since the theory is in the setting of Lipschitz functions, which
Nilsequence
Jones polynomial. Also known as the Kauffman bracket. Conway polynomial uses Skein relations. Homfly polynomial or HOMFLYPT polynomial. Jones polynomial assigns
List_of_knot_theory_topics
Type of orthogonal polynomials
orthogonal polynomials are the most widely used orthogonal polynomials: the Hermite polynomials, Laguerre polynomials, Jacobi polynomials (including as
Classical orthogonal polynomials
Classical_orthogonal_polynomials
Particle
Kauffman bracket with parameter A = e 3 π i / 5 {\displaystyle A=e^{3\pi i/5}} . Since the Kauffman bracket is related to the Jones polynomial via a change
Fibonacci_anyons
Study of mathematical knots
key topological property of this bracket operation is that it produces knots with a trivial Alexander–Conway polynomial; specifically, ∇ ( [ α , β ] ) =
Knot_theory
Prime knot named for John Horton Conway
shares the same Jones polynomial. Both knots also have the property of having the same Alexander polynomial and Conway polynomial as the unknot. The issue
Conway_knot
Algebraic structure used in analysis
{\displaystyle {\mathfrak {g}}} together with an operation called the Lie bracket, an alternating bilinear map g × g → g {\displaystyle {\mathfrak {g}}\times
Lie_algebra
Process in quantum mechanical theories
result now is obtained by writing the same polynomial of degree four as a Poisson bracket of polynomials of degree three in two different ways. Specifically
Canonical_quantization
"Smallest" commutative algebra that contains a vector space
algebra S(V) can be identified, through a canonical isomorphism, to the polynomial ring K[B], where the elements of B are considered as indeterminates. Therefore
Symmetric_algebra
Algorithms for polynomial evaluation
In mathematics and computer science, polynomial evaluation refers to computation of the value of a polynomial when its indeterminates are substituted for
Polynomial_evaluation
Polynomial zeros related to linear factors
theorem connects polynomial factors with polynomial roots. Specifically, if f ( x ) {\displaystyle f(x)} is a (univariate) polynomial, then x − a {\displaystyle
Factor_theorem
mathematics; known for the introduction and development of the bracket polynomial and Kauffman polynomial in knot theory; founding editor and a managing editor
List of University of Illinois Chicago people
List_of_University_of_Illinois_Chicago_people
Simplest non-trivial closed knot with three crossings
or because of its Conway polynomial, which is ∇ ( z ) = z 2 + 1. {\displaystyle \nabla (z)=z^{2}+1.} The Jones polynomial is V ( q ) = q − 1 + q − 3
Trefoil_knot
Algorithm for finding a zero of a function
bisection method into efficient algorithms for finding all real roots of a polynomial; see Real-root isolation. The method is applicable for numerically solving
Bisection_method
Differentiable manifold
nilmanifolds to additive combinatorics: the so-called bracket polynomials, or generalised polynomials, seem to be important in the development of higher-order
Nilmanifold
that are polynomial in the fiber, and under this identification the symmetric Schouten–Nijenhuis bracket corresponds to the Poisson bracket of functions
Schouten–Nijenhuis_bracket
Mathematical object studied in the field of algebraic geometry
an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex numbers. Modern definitions generalize
Algebraic_variety
Methods of error detection and correction in communications
after division in the ring of polynomials over GF(2) (the finite field of integers modulo 2). That is, the set of polynomials where each coefficient is either
Mathematics of cyclic redundancy checks
Mathematics_of_cyclic_redundancy_checks
Approximation of the definite integral of a function
{p_{n-1}(x)}{a_{n-1}}}\right)+{\frac {p_{n-1}(x)}{a_{n-1}}}} The term in the brackets is a polynomial of degree n − 2 {\displaystyle n-2} , which is therefore orthogonal
Gaussian_quadrature
Field-equations in general relativity
tensor, they can be arranged in a form that contains the metric tensor in polynomial form and without its inverse. First, the determinant of the metric in
Einstein_field_equations
Polynomial sequence
{\textstyle k} "ascents"). Leonhard Euler investigated them and associated polynomials in his 1755 book Institutiones calculi differentialis. Other notations
Eulerian_number
Unique knot with a crossing number of four
because of its Conway polynomial, which is ∇ ( z ) = 1 − z 2 , {\displaystyle \nabla (z)=1-z^{2},\ } and the Jones polynomial is V ( q ) = q 2 − q +
Figure-eight knot (mathematics)
Figure-eight_knot_(mathematics)
Symbolic description of a mathematical object
operations, and functions. Other symbols include punctuation marks and brackets, used for grouping where there is not a well-defined order of operations
Expression_(mathematics)
Mathematical knot with crossing number 6
\,} The Alexander polynomial and Conway polynomial are the same as those for the knot 946, but the Jones polynomials for these two knots are different
Stevedore_knot_(mathematics)
Counting polynomial roots in an interval
univariate polynomial p is a sequence of polynomials associated with p and its derivative by a variant of Euclid's algorithm for polynomials. Sturm's theorem
Sturm's_theorem
Mathematical knot with crossing number 7
knot. Its Alexander polynomial is Δ ( t ) = 3 t − 5 + 3 t − 1 , {\displaystyle \Delta (t)=3t-5+3t^{-1},\,} its Conway polynomial is ∇ ( z ) = 3 z 2 +
7_2_knot
Mathematical relation making a non-equal comparison
decomposition is an algorithm that allows testing whether a system of polynomial equations and inequalities has solutions, and, if solutions exist, describing
Inequality_(mathematics)
Family of polynomials
coefficients (also called Gaussian coefficients, Gaussian numbers, Gaussian polynomials, or q-binomial coefficients) are q-analogs of the binomial coefficients
Gaussian_binomial_coefficient
Typically linear operator defined in terms of differentiation of functions
of differentiation) because of the symmetry of second derivatives. The polynomial p obtained by replacing partials ∂ ∂ x i {\displaystyle {\frac {\partial
Differential_operator
Mathematical knot with crossing number 7
its Conway polynomial is ∇ ( z ) = z 6 + 5 z 4 + 6 z 2 + 1 , {\displaystyle \nabla (z)=z^{6}+5z^{4}+6z^{2}+1,\,} and its Jones polynomial is V ( q ) =
71_knot
Mathematical knot with crossing number 5
because of its Conway polynomial, which is ∇ ( z ) = 2 z 2 + 1 , {\displaystyle \nabla (z)=2z^{2}+1,\,} and its Jones polynomial is V ( q ) = q − 1 − q
Three-twist_knot
In mathematics, invariant of square matrices
more efficient. Determinants are used for defining the characteristic polynomial of a square matrix, whose roots are the eigenvalues. In geometry, the
Determinant
Group of 𝑛 × 𝑛 invertible matrices
of those matrices whose determinant is non-zero. The determinant is a polynomial map, and hence GL ( n , R ) {\displaystyle \operatorname {GL} (n,\mathbb
General_linear_group
One of three types of isotopy-preserving local changes to a knot diagram
important invariants can be defined in this way, including the Jones polynomial. The type I move is the only move that affects the writhe of the diagram
Reidemeister_move
Mathematical theorem
Victor H. (March 2018). "The Method of Brackets in Experimental Mathematics". Frontiers in Orthogonal Polynomials and q -Series. WORLD SCIENTIFIC. pp. 307–318
Ramanujan's_master_theorem
Group whose operation is a composition of braids
theorem, was published in 1997. Vaughan Jones originally defined his polynomial as a braid invariant and then showed that it depended only on the class
Braid_group
Determining whether a knot is the unknot
Unsolved problem in mathematics Can unknots be recognized in polynomial time? More unsolved problems in mathematics In mathematics, the unknotting problem
Unknotting_problem
Lagrangian method Lagrange number Lagrange point colonization Lagrange polynomial Lagrange property Lagrange reversion theorem Lagrange resolvent Lagrange
List of things named after Joseph-Louis Lagrange
List_of_things_named_after_Joseph-Louis_Lagrange
Concept in combinatorics (part of mathematics)
Roelof Koekoek and Rene F. Swarttouw, The Askey scheme of orthogonal polynomials and its q-analogues, section 0.2. Exton, H. (1983), q-Hypergeometric
Q-Pochhammer_symbol
Operation combining two oriented knots
For links of more than one component, unique decomposition fails. Many polynomial and homological invariants are multiplicative under the connected sum:
Knot_(mathematics)
Algebra of meromorphic vector fields on the Riemann sphere
two fixed points. It is also the complexification of the Lie algebra of polynomial vector fields on a circle, and the Lie algebra of derivations of the ring
Witt_algebra
Function with a multiplicative scaling behaviour
kth-degree or kth-order homogeneous function. For example, a homogeneous polynomial of degree k defines a homogeneous function of degree k. The above definition
Homogeneous_function
Orientable surface whose boundary is a knot or link
\left(V-tV^{*}\right),} which is a polynomial of degree at most 2g in the indeterminate t . {\displaystyle t.} The Alexander polynomial is independent of the choice
Seifert_surface
Knot that bounds an embedded disk in 4-space
Alexander polynomial of a slice knot can be written as Δ ( t ) = f ( t ) f ( t − 1 ) {\displaystyle \Delta (t)=f(t)f(t^{-1})} with a Laurent polynomial f {\displaystyle
Slice_knot
Mathematical concept
)}^{k}} , where the square brackets indicate the extraction of the coefficient of x n {\displaystyle x^{n}} in the polynomial that follows it. We can enumerate
Composition_(combinatorics)
Mapping between functions in the quantum phase space
{\displaystyle f(q,p)} is a polynomial of degree at most 2 and g ( q , p ) {\displaystyle g(q,p)} is an arbitrary polynomial, then we have Φ ( { f , g }
Wigner–Weyl_transform
Loop seen as a trivial knot
through the calculation of knot invariants. The Alexander–Conway polynomial and Jones polynomial of the unknot are trivial: Δ ( t ) = 1 , ∇ ( z ) = 1 , V (
Unknot
Knot invariant named after Cahit Arf
(t)=c_{0}+c_{1}t+\cdots +c_{n}t^{n}+\cdots +c_{0}t^{2n}} be the Alexander polynomial of the knot. Then the Arf invariant is the residue of c n − 1 + c n −
Arf_invariant_of_a_knot
Mathematical knot with crossing number 5
because of its Conway polynomial, which is ∇ ( z ) = z 4 + 3 z 2 + 1 {\displaystyle \nabla (z)=z^{4}+3z^{2}+1} , and its Jones polynomial is V ( q ) = q −
Cinquefoil_knot
Mathematical tool for studying knots
answer the question is using knot polynomials, which are invariants of the knot. If two diagrams have different polynomials, they represent different knots
Skein_relation
Two interlinked loops with five structural crossings
matrix, or because of its Conway polynomial, which is ∇ ( z ) = z 3 . {\displaystyle \nabla (z)=z^{3}.} Its Jones polynomial is V ( t ) = t − 3 2 ( − 1 +
Whitehead_link
Concept in mathematics
homogeneous polynomials in the basis elements e a {\displaystyle e_{a}} of the Lie algebra. The Casimir invariants are the irreducible homogeneous polynomials of
Universal_enveloping_algebra
Mathematical knot with crossing number 6
Alexander polynomial is Δ ( t ) = − t 2 + 3 t − 3 + 3 t − 1 − t − 2 , {\displaystyle \Delta (t)=-t^{2}+3t-3+3t^{-1}-t^{-2},\,} its Conway polynomial is ∇ (
62_knot
Family of mathematical knots
depend on the number n {\displaystyle n} of half-twists. The Alexander polynomial of a twist knot is given by the formula Δ ( t ) = { n + 1 2 t − n + n
Twist_knot
Murasugi (村杉 邦男), and Morwen Thistlethwaite in 1987, using the Jones polynomial. A second conjecture of Tait: An amphicheiral (or acheiral) alternating
Tait_conjectures
Connected sum of two trefoil knots with same chirality
the granny knot is not a ribbon knot or a slice knot. The Alexander polynomial of the granny knot is Δ ( t ) = ( t − 1 + t − 1 ) 2 , {\displaystyle \Delta
Granny_knot_(mathematics)
Group of matrices with determinant 1
subvariety of the general linear group – they satisfy a polynomial equation (since the determinant is polynomial in the entries). When R {\displaystyle R} is the
Special_linear_group
Attempt to classify and tabulate all possible knots
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
Knot_tabulation
Mathematical set with repetitions allowed
characteristic polynomial. However two other multiplicities are naturally defined for eigenvalues, their multiplicities as roots of the minimal polynomial, and
Multiset
Standard division algorithm for multi-digit numbers
A generalised version of this method called polynomial long division is also used for dividing polynomials (sometimes using a shorthand version called
Long_division
Sequence of characters that forms a search pattern
by "[" and "]" since the brackets are escaped, for example: "[a]", "[b]", "[7]", "[@]", "[]]", and "[ ]" (bracket space bracket). s.* matches s followed
Regular_expression
Invariant of a knot diagram
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
Writhe
Example of a phase-space star product in mathematics
on R 2 n {\displaystyle \mathbb {R} ^{2n}} , equipped with its Poisson bracket (with a generalization to symplectic manifolds, described below). It is
Moyal_product
roots in all the polynomials contained in the brackets, selecting only roots in the left half plane, and recreating the polynomials from those roots.
Optimum_"L"_filter
Complement of a knot in three-sphere
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
Knot_complement
Mathematical knot with crossing number 6
Alexander polynomial of the 63 knot is Δ ( t ) = t 2 − 3 t + 5 − 3 t − 1 + t − 2 , {\displaystyle \Delta (t)=t^{2}-3t+5-3t^{-1}+t^{-2},\,} Conway polynomial is
63_knot
Knot that can't be tied in a string of constant diameter
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
Wild_knot
Mathematical sequences in combinatorics
that they describe coefficients relating three different sequences of polynomials that frequently arise in combinatorics. Moreover, all three can be defined
Stirling_number
Generalization of knots in 3-dimensional Euclidean space
problem in mathematics [Extension of Jones polynomial to general 3-manifolds.] Can the original Jones polynomial, which is defined for 1-links in the 3-sphere
Virtual_knot
Type of mathematical link
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
Hyperbolic_link
Connected sum of two trefoil knots with opposite chirality
smallest possible crossing number for a composite knot. The Alexander polynomial of the square knot is Δ ( t ) = ( t − 1 + t − 1 ) 2 , {\displaystyle \Delta
Square_knot_(mathematics)
Mathematical operation on random variables
expressed in terms of special functions such as Bernoulli polynomials or Hermite polynomials. Assume that X1, ..., Xk are random variables with finite
Wick_product
Type of mathematical knot
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
Satellite_knot
Mathematical knot with crossing number 7
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
74_knot
Group that is also a differentiable manifold with group operations that are smooth
the theory of differential equations. On the model of Galois theory and polynomial equations, the driving conception was of a theory capable of unifying
Lie_group
Mathematical notation for describing the structure of knots
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
Dowker–Thistlethwaite notation
Dowker–Thistlethwaite_notation
Notation used to describe knots based on operations on tangles
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
Conway_notation_(knot_theory)
Number whose square is a given number
} Given any polynomial p, a root of p is a number y such that p(y) = 0. For example, the nth roots of x are the roots of the polynomial (in y) y n −
Square_root
Link that consists of finitely many unlinked unknots
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
Unlink
Fundamental group of a knot complement
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
Knot_group
Knot which lies on the surface of a torus in 3-dimensional space
( q − 1 ) . {\displaystyle g={\frac {1}{2}}(p-1)(q-1).} The Alexander polynomial of a torus knot is t k ( t p q − 1 ) ( t − 1 ) ( t p − 1 ) ( t q − 1 )
Torus_knot
Encyclopedic website dedicated to knot theory
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
The_Knot_Atlas
highest power of a bracket factor in the symbolic expression for an invariant. (Glenn 1915, 4.8) gradient A homogeneous polynomial in a0, ..., ap all
Glossary_of_invariant_theory
How many times curves wind around each other
Witten that the nonabelian theory gives the invariant known as the Jones polynomial. The Chern-Simons gauge theory lives in 3 spacetime dimensions. More generally
Linking_number
BRACKET POLYNOMIAL
BRACKET POLYNOMIAL
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name from either of two places in France called Brécy, in Aisne and Ardennes.
Surname or Lastname
English
English : variant of Brach 2, + the suffix -er denoting an inhabitant.Swiss German : variant of German Brachmann (see Brachman).
Surname or Lastname
English
English : topographic name for someone who lived by a clump of bushes or by a patch of bracken. Brake ‘thicket’ and brake ‘bracken’ were homonyms in Middle English. The first is from Old English bracu; the second is by folk etymology from northern Middle English braken, -en being taken as a plural ending. After the words had fallen together, their senses also became confused.North German : habitational name from any of several places so named, notably the town on the Weser, or a topographic name from Middle Low German brÄk ‘clearing’, ‘coppice’.Wilhelm Joseph Dietrich, Baron von Brake, of Hannover (Germany), is said to have settled in Nansemond, VA, about 1730. His son Johann Jacob (John) Brake was the progenitor of the VA and WV Brakes; another son, also named Jacob Brake, settled in Edgecombe Co., NC, in 1742, where he sired seven sons and two daughters.
Boy/Male
Hindu
Lord Varun, Wise
Surname or Lastname
English
English : habitational name from a place in Northamptonshire named Brackley, from an Old English personal name Bracc(a) + Old English lēah ‘woodland clearing’.
Surname or Lastname
English
English : from Middle English, Old French brachet, denoting a type of hound. The word was also used as a term of abuse.Captain Richard Brackett (1610–c. 1691) came to Boston, MA, in about 1629, and moved to Braintree, MA, in 1641.
Surname or Lastname
English
English : probably an occupational name for a bleacher of textiles, from Middle English blÄken ‘to bleach or whiten’. Compare Bleacher. Alternatively, it could be an agent noun from blæc ‘black’, an occupational name for an ink maker. Compare 2.German (Bläcker) : probably from Middle Low German black ‘black ink’, hence an occupational name for an ink maker.
Surname or Lastname
English
English : metathesized variant of Birkett.
Surname or Lastname
English
English : variant of Bramlett.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord Varun
Boy/Male
Hindu
Lord Varun, Wise
Surname or Lastname
English
English : habitational name from either of two places in North Yorkshire, one called Crakehall and the other Crakehill, both from Old Norse kráka ‘crow’ (or Old English craca ‘crake’) + Old English halh ‘recess’. This form of the surname is now rare in England.
Surname or Lastname
Respelling of German Brücker or Brügger, habitational names for someone from any of numerous places in southern Germany, Austria, and Switzerland named Bruck or Brugg, or a topographic name for someone who lived by a bridge (see Brucker).Altered spellin
Respelling of German Brücker or Brügger, habitational names for someone from any of numerous places in southern Germany, Austria, and Switzerland named Bruck or Brugg, or a topographic name for someone who lived by a bridge (see Brucker).Altered spelling of German Brücher, a topographic name for someone who lived by a swamp, from Middle High German bruoch ‘swamp’ + the suffix -er, denoting an inhabitant.English (Somerset) : unexplained; perhaps a variant of Brooker.
Surname or Lastname
English
English : from a diminutive of Black.English : nickname for a person with dark hair, or a topographic name for someone who lived by a dark headland, from Middle English blak(e) ‘black’ + heved ‘head’.
Surname or Lastname
English
English : probably from Middle English, Old French brace ‘arm’, also denoting a piece of armor covering the arm. In most cases it is probably a metonymic occupational name for a maker or seller of armor, specifically armor designed to protect the upper arms, but it could also have been a nickname for someone with strong arms (compare Armstrong) or a deformed or otherwise noticeable arm.
Surname or Lastname
Irish
Irish : Anglicized form of Gaelic Ó Breacáin ‘descendant of Breacán’, a personal name from a diminutive of breac ‘speckled’, ‘spotted’, which was borne by a 6th-century saint who lived at Ballyconnel, County Cavan, and was famous as a healer; St. Bricin’s Military Hospital, Dublin is named in his honor.English : topographic name from Middle English braken ‘bracken’ (from Old English bræcen or Old Norse brakni), or a habitational name from a place named with this word, such as Bracken in East Yorkshire or Bracon Ash in Norfolk.German : especially in the north, probably a topographic name from Middle Low German brake ‘brushwood’, ‘fallow land’, ‘copse’, an element of many field and place names.
Surname or Lastname
English and Irish
English and Irish : variant spelling of Beckett.
Boy/Male
French, German
Little Hacker; Little Hewer of Wood
Boy/Male
German
Little hacker.
Surname or Lastname
German
German : topographic name for someone who lived near a bridge, or an occupational name for a bridge keeper or toll collector on a bridge (see Bruck).Jewish (eastern Ashkenazic) : occupational name, either from a Yiddishized form of Polish brukarz ‘paver’ or from an agent noun based on Yiddish bruk ‘pavement’.English : variant spelling of Brooker.
BRACKET POLYNOMIAL
BRACKET POLYNOMIAL
Boy/Male
Finnish, German
Advice; Decision Protection
Boy/Male
Muslim
Period
Female
Scottish
Feminine form of Scottish Islay, ISLA means "island."
Girl/Female
English American
Boy/Male
Muslim
Caliph. Successor.
Girl/Female
Muslim/Islamic
Hoping full of hope
Boy/Male
Irish
Handsome.
Boy/Male
Hindu, Indian
Servant of Tulasi or Basil Plant
Boy/Male
Indian, Punjabi, Sikh
Victorious in Life
Boy/Male
Muslim
Counselor of the religion (Islam)
BRACKET POLYNOMIAL
BRACKET POLYNOMIAL
BRACKET POLYNOMIAL
BRACKET POLYNOMIAL
BRACKET POLYNOMIAL
n.
A brake or fern.
a.
Having a back; fitted with a back; as, a backed electrotype or stereotype plate. Used in composition; as, broad-backed; hump-backed.
n.
A thin, dry biscuit, often hard or crisp; as, a Boston cracker; a Graham cracker; a soda cracker; an oyster cracker.
v. t.
To place within brackets; to connect by brackets; to furnish with brackets.
v. i.
To play at cricket.
imp. & p. p.
of Bracket
v. t.
To furnish with braces; to support; to prop; as, to brace a beam in a building.
v. t.
To strike with, or as with, a racket.
v. t.
To cover with a blanket.
v. i.
To make a confused noise or racket.
n.
Rocket larkspur. See below.
n.
A bracket. See Bracket.
a.
Coarsely ground or broken; as, cracked wheat.
n.
A bract.
n.
The contents of a basket; as much as a basket contains; as, a basket of peaches.
v. t.
To put into a basket.
v. t.
To put a jacket on; to furnish, as a boiler, with a jacket.
v. t.
To move around by means of braces; as, to brace the yards.
imp. & p. p.
of Brace