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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
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
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
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
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
Boolean polynomials as sums of monomials
ANF are also known as ring sum normal form (RSNF or RNF), Zhegalkin polynomials (Russian: полиномы Жегалкина), or Positive Polarity (or parity) Reed–Muller
Algebraic_normal_form
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
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
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
\{\{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
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
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
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
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
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
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
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
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
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
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
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
"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
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
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
Polynomial sequence
{\textstyle k} "ascents"). Leonhard Euler investigated them and associated polynomials in his 1755 book Institutiones calculi differentialis. Other notations
Eulerian_number
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
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)
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
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
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)
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
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 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
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)
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)
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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 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
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
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
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
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
2-bridge_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 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)
Minimum number of times a specific knot must be passed through itself to become untied
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
Unknotting_number
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
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
248-dimensional exceptional simple Lie group
large square matrices consisting of polynomials, the Lusztig–Vogan polynomials, an analogue of Kazhdan–Lusztig polynomials introduced for reductive groups
E8_(mathematics)
Class of quartic plane curves
than the product. Cassini ovals are the special case of polynomial lemniscates when the polynomial used has degree 2. Cassini ovals are named after the astronomer
Cassini_oval
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
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
Non-trivial knot which cannot be written as the knot sum of two non-trivial knots
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
Prime_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
Sum of elements on the main diagonal
the characteristic polynomial, possibly changed of sign, according to the convention in the definition of the characteristic polynomial. If a is a square
Trace_(linear_algebra)
Array of numbers
the eigenvalues of a square matrix are the roots of its characteristic polynomial, det ( λ I − A ) {\displaystyle \det(\lambda I-A)} . Matrix theory is
Matrix_(mathematics)
Kind of operation in knot theory
hyperbolic volume (by a result of Ruberman), and have the same HOMFLY polynomials. Conway and Kinoshita-Terasaka mutant pair, distinguished as knot genus
Mutation_(knot_theory)
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)
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
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
Property in knot theory
volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability
Tricolorability
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
Family of quantum invariants
{\displaystyle \langle e_{n},e_{n},\dots ,e_{n}\rangle _{L}} denotes the Kauffman polynomial of the link L {\displaystyle L} , where each of the m {\displaystyle m}
Reshetikhin–Turaev_invariant
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
Function of a knot that takes the same value for equivalent knots
particularly simple and common example. Other examples are knot polynomials, such as the Jones polynomial, which are currently among the most useful invariants
Knot_invariant
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
Integer-valued knot invariant; least number of crossings in 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
Crossing_number_(knot_theory)
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
Root-finding algorithm
interpolations fail. The ITP method follows the same structure of standard bracketing strategies that keeps track of upper and lower bounds for the location
ITP_method
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
Ribbon_knot
BRACKET POLYNOMIAL
BRACKET POLYNOMIAL
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.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord Varun
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 : 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.
Boy/Male
German
Little hacker.
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
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.
Boy/Male
French, German
Little Hacker; Little Hewer of Wood
Surname or Lastname
English
English : metathesized variant of Birkett.
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 : variant of Bramlett.
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
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.
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.
Boy/Male
Hindu
Lord Varun, Wise
Boy/Male
Hindu
Lord Varun, Wise
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 : 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.
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.
BRACKET POLYNOMIAL
BRACKET POLYNOMIAL
Male
English
Short form of English Geoffrey, possibly GEOFF means "God's peace."Â
Boy/Male
Tamil
Hridayansh | ஹà¯à®°à¯€à®¤à®¯à®¾à®‚à®·
Part of heart
Girl/Female
Arabic, Australian, Muslim
To Recite in a Sing Song Voice
Girl/Female
Celebrity, Gujarati, Hindu, Indian, Kannada, Rajasthani, Sanskrit, Traditional
An Indian River
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord Indra
Boy/Male
Hawaiian
Educated.
Girl/Female
Indian, Tamil
Light from Sky
Male
German
German form of Latin Venceslaus, WENZESLAUS means "more glory."Â
Female
Hindi/Indian
(रानी) Hindi name RANI means "queen."
Girl/Female
Hindu
Whose face is glowing like Moon
BRACKET POLYNOMIAL
BRACKET POLYNOMIAL
BRACKET POLYNOMIAL
BRACKET POLYNOMIAL
BRACKET POLYNOMIAL
v. t.
To place within brackets; to connect by brackets; to furnish with brackets.
n.
The contents of a basket; as much as a basket contains; as, a basket of peaches.
a.
Coarsely ground or broken; as, cracked wheat.
v. t.
To furnish with braces; to support; to prop; as, to brace a beam in a building.
a.
Having a back; fitted with a back; as, a backed electrotype or stereotype plate. Used in composition; as, broad-backed; hump-backed.
imp. & p. p.
of Bracket
v. t.
To cover with a blanket.
v. t.
To move around by means of braces; as, to brace the yards.
v. t.
To strike with, or as with, a racket.
n.
A thin, dry biscuit, often hard or crisp; as, a Boston cracker; a Graham cracker; a soda cracker; an oyster cracker.
n.
Rocket larkspur. See below.
n.
A bracket. See Bracket.
v. t.
To put into a basket.
n.
A brake or fern.
v. i.
To make a confused noise or racket.
v. t.
To put a jacket on; to furnish, as a boiler, with a jacket.
v. i.
To play at cricket.
n.
A bract.
imp. & p. p.
of Brace