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Machine learning kernel function
machine learning, the polynomial kernel is a kernel function commonly used with support vector machines (SVMs) and other kernelized models, that represents
Polynomial_kernel
Polynomial associated with a matrix
irreducible polynomials P one has similar equivalences: P divides μA, P divides χA, the kernel of P(A) has dimension at least 1. the kernel of P(A) has
Minimal polynomial (linear algebra)
Minimal_polynomial_(linear_algebra)
Statistics concept
splines). A final alternative is to use kernelized models such as support vector regression with a polynomial kernel. If residuals have unequal variance,
Polynomial_regression
Class of algorithms for pattern analysis
recognition. Fisher kernel Graph kernels Kernel smoother Polynomial kernel Radial basis function kernel (RBF) String kernels Neural tangent kernel Neural network
Kernel_method
Moving average and polynomial regression method for smoothing data
regression or local polynomial regression, also known as moving regression, is a generalization of the moving average and polynomial regression. Its most
Local_regression
In functional analysis, a Hilbert space
In functional analysis, a reproducing kernel Hilbert space (RKHS) is a Hilbert space of functions in which point evaluation is a continuous linear functional
Reproducing kernel Hilbert space
Reproducing_kernel_Hilbert_space
Machine learning kernel function
learning, the radial basis function kernel, or RBF kernel, is a popular kernel function used in various kernelized learning algorithms. In particular,
Radial_basis_function_kernel
Algorithmic technique
is the sum of the (polynomial time) kernelization step and the (non-polynomial but bounded by the parameter) time to solve the kernel. Indeed, every problem
Kernelization
Model for approximating non-linear effects, similar to a Taylor series
Schölkopf (2006). "A unifying view of Wiener and Volterra theory and polynomial kernel regression". Neural Computation. 18 (12): 3097–3118. doi:10.1162/neco
Volterra_series
Elements taken to zero by a homomorphism
p} is a polynomial with real coefficients. Then T {\displaystyle T} is a linear map whose kernel is precisely 0, since 0 is the only polynomial to satisfy
Kernel_(algebra)
Polynomial whose roots are the eigenvalues of a matrix
In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues
Characteristic_polynomial
Integral expressing the amount of overlap of one function as it is shifted over another
on 2013-08-11. Ninh, Pham; Pagh, Rasmus (2013). Fast and scalable polynomial kernels via explicit feature maps. SIGKDD international conference on Knowledge
Convolution
Algebraic structure
especially in the field of algebra, a polynomial ring or polynomial algebra is a ring formed from the set of polynomials in one or more indeterminates (traditionally
Polynomial_ring
Class of nonparametric methods
distribution) combined with popular embedding kernels k {\displaystyle k} (e.g. the Gaussian kernel or polynomial kernel), or can be accurately empirically estimated
Kernel embedding of distributions
Kernel_embedding_of_distributions
Generalization of a positive-definite matrix
^{T}\mathbf {y} ,\quad \mathbf {x} ,\mathbf {y} \in \mathbb {R} ^{d}} . Polynomial kernel: K ( x , y ) = ( x T y + r ) n , x , y ∈ R d , r ≥ 0 , n ≥ 1 {\displaystyle
Positive-definite_kernel
On short connecting nets with added points
admit a polynomial-sized approximate kernelization scheme (PSAKS): for any ε > 0 {\displaystyle \varepsilon >0} it is possible to compute a polynomial-sized
Steiner_tree_problem
Mapping involving integration between function spaces
two variables, that is called the kernel or nucleus of the transform. Some kernels have an associated inverse kernel K − 1 ( u , t ) {\displaystyle K^{-1}(u
Integral_transform
Algorithm for reducing the dimension of tensors
properties of tensor sketches, particularly focused on applications to polynomial kernels. In this context, the sketch is required not only to preserve the
Tensor_sketch
Concept in abstract algebra
root or zero of each polynomial in J α {\displaystyle J_{\alpha }} . More specifically, J α {\displaystyle J_{\alpha }} is the kernel of the ring homomorphism
Minimal polynomial (field theory)
Minimal_polynomial_(field_theory)
Pair of polynomial sequences
The Chebyshev polynomials are two sequences of orthogonal polynomials related to the cosine and sine functions, notated as T n ( x ) {\displaystyle T_{n}(x)}
Chebyshev_polynomials
Point where function's value is zero
root of a polynomial is a zero of the corresponding polynomial function. The fundamental theorem of algebra shows that any non-zero polynomial has a number
Zero_of_a_function
Overview of and topical guide to machine learning
Pipeline Pilot Piranha (software) Pitman–Yor process Plate notation Polynomial kernel Pop music automation Population process Portable Format for Analytics
Outline_of_machine_learning
} , and K z g ( t , τ ) {\displaystyle K_{z}^{g}(t,\tau )} is the polynomial kernel given by K z g ( t , τ ) = ∏ k = − q 2 q 2 [ z ( t + c k τ ) ] b k
Polynomial Wigner–Ville distribution
Polynomial_Wigner–Ville_distribution
Algorithm to smooth data points
calculated by using ACCC, for symmetric kernels and both symmetric and asymmetric polynomials, on unity-spaced kernel nodes, in the 1, 2, 3, and 4 dimensional
Savitzky–Golay_filter
Describes approximate behavior of a function
) {\displaystyle {\mathcal {O}}^{*}(2^{p})} -Time Algorithm and a Polynomial Kernel, Algorithmica 80 (2018), no. 12, 3844–3860. Note that the "size" of
Big_O_notation
Set of methods for supervised statistical learning
usually used for SVM. In situ adaptive tabulation Kernel machines Fisher kernel Platt scaling Polynomial kernel Predictive analytics Regularization perspectives
Support_vector_machine
Complex-valued function
oscillator and Hermite functions Heat kernel Hermite polynomials Parabolic cylinder functions Laguerre polynomials § Hardy–Hille formula Hardy, G. H. (1932-07-01)
Mehler_kernel
In mathematics and computer algebra the factorization of a polynomial consists of decomposing it into a product of irreducible factors. This decomposition
Factorization of polynomials over finite fields
Factorization_of_polynomials_over_finite_fields
Continuous generalization of cellular automata
well). Example kernel functions include: K C ( r ) = { exp ( α − α 4 r ( 1 − r ) ) , exponential , α = 4 ( 4 r ( 1 − r ) ) α , polynomial , α = 4 1 [ 1
Lenia
Statistical technique
A kernel smoother is a statistical technique to estimate a real valued function f : R p → R {\displaystyle f:\mathbb {R} ^{p}\to \mathbb {R} } as the weighted
Kernel_smoother
Mathematical approximation of a function
of a Taylor series is a polynomial of degree n that is called the nth Taylor polynomial of the function. Taylor polynomials are approximations of a function
Taylor_series
Mathematical theorem in the study of analysis
desired by a polynomial function. Because polynomials are among the simplest functions, and because computers can directly evaluate polynomials, this theorem
Stone–Weierstrass_theorem
Polynomial sequence
In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence. The polynomials arise in: signal processing as Hermitian wavelets
Hermite_polynomials
Sequence of differential equation solutions
generalization of the Mehler kernel for Hermite polynomials, which can be recovered from it by setting the Hermite polynomials as a special case of the associated
Laguerre_polynomials
Mathematical result
product. Such computations have been used to efficiently compute polynomial kernels and many other linear-algebra algorithms[clarification needed]. In
Johnson–Lindenstrauss_lemma
Topics referred to by the same term
The discriminant of a polynomial is a quantity that depends on the coefficients and determines various properties of the roots. Discriminant may also refer
Discriminant_(disambiguation)
Machine learning problem
by reduction to binary tasks. It is a type of kernel machine that uses an inhomogeneous polynomial kernel. Hastie, Trevor; Tibshirani, Robert; Friedman
Probabilistic_classification
Polynomial sequence
In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) P n ( α , β ) ( x ) {\displaystyle P_{n}^{(\alpha ,\beta )}(x)} are
Jacobi_polynomials
Concept in regression analysis mathematics
z , {\displaystyle K(x,z)=x^{\mathsf {T}}z,} the polynomial kernel, inducing the space of polynomial functions of order d {\displaystyle d} : K ( x ,
Regularized_least_squares
Polynomial sequence
In mathematics, Gegenbauer polynomials or ultraspherical polynomials C(α) n(x) are orthogonal polynomials on the interval [−1,1] with respect to the weight
Gegenbauer_polynomials
"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
Schölkopf, B. (2006). "A unifying view of Wiener and Volterra theory and polynomial kernel regression". Neural Computation. 18 (12): 3097–3118. doi:10.1162/neco
Wiener_series
Mathematical operation on matrices
01821 [cs.DS]. Ninh, Pham; Pagh, Rasmus (2013). Fast and scalable polynomial kernels via explicit feature maps. SIGKDD international conference on Knowledge
Kronecker_product
scaling of the inputs in the polynomial, RBF and MLP kernel function. This scaling is related to the bandwidth of the kernel in statistics, where it is
Least-squares support vector machine
Least-squares_support_vector_machine
Tool in mathematical dimension theory
In commutative algebra, the Hilbert function, the Hilbert polynomial, and the Hilbert series of a graded commutative algebra finitely generated over a
Hilbert series and Hilbert polynomial
Hilbert_series_and_Hilbert_polynomial
Type of diagnosis assisted by computers
decomposition. Polynomial kernel SVM has been shown to achieve good accuracy. The polynomial KSVM performs better than linear SVM and RBF kernel SVM. Other
Computer-aided_diagnosis
Most widely known generalized inverse of a matrix
annihilates the kernel of A {\displaystyle A} and acts as a traditional inverse of A {\displaystyle A} on the subspace orthogonal to the kernel. In the
Moore–Penrose_inverse
Plane algebraic curve
exist various models. A related object is the classical modular polynomial, a polynomial in one variable defined as Φn(x, x). The classical modular curves
Classical_modular_curve
Free object in the category of associative algebras
analogue of a polynomial ring since its elements may be described as "polynomials" with non-commuting variables. Likewise, the polynomial ring may be regarded
Free_algebra
Branch of algebra that studies commutative rings
commutative algebra. Prominent examples of commutative rings include polynomial rings; rings of algebraic integers, including the ordinary integers Z
Commutative_algebra
Study of numbers that are not solutions of polynomials with rational coefficients
non-constant polynomial with rational coefficients (or equivalently, by clearing denominators, with integer coefficients) then that polynomial will have
Transcendental_number_theory
Concepts from linear algebra
the roots of a polynomial with degree 5 or more. (Generality matters because any polynomial with degree n is the characteristic polynomial of some companion
Eigenvalues_and_eigenvectors
Type of algorithm
admit polynomial sized approximate kernels. Furthermore, a polynomial-sized approximate kernelization scheme (PSAKS) is an α-approximate kernelization algorithm
Parameterized approximation algorithm
Parameterized_approximation_algorithm
Mathematical function
Gaussian is the Gaussian function itself multiplied by the n-th Hermite polynomial, up to scale. Consequently, Gaussian functions are also associated with
Gaussian_function
Identity for a sequence of orthogonal polynomials
orthogonal polynomials, introduced by Elwin Bruno Christoffel (1858) and Jean Gaston Darboux (1878). Christoffel–Darboux formula—if a sequence of polynomials f
Christoffel–Darboux_formula
symmetric polynomials in n indeterminates, as n goes to infinity. This ring serves as universal structure in which relations between symmetric polynomials can
Ring_of_symmetric_functions
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
Interpolation with trigonometric polynomials
mathematics, trigonometric interpolation is interpolation with trigonometric polynomials. Interpolation is the process of finding a function which goes through
Trigonometric_interpolation
Problem in graph theory
8^{k}O(m)} and the kernel-size result to O ( k ) {\displaystyle O(k)} vertices. Weighted maximum cuts can be found in polynomial time in graphs of bounded
Maximum_cut
Method of a dimension reduction
Learning. PMLR, 2021. Ninh, Pham; Pagh, Rasmus (2013). Fast and scalable polynomial kernels via explicit feature maps. SIGKDD international conference on Knowledge
Count_sketch
Reduction of a ring by one of its ideals
{\displaystyle I=\left(X^{2}+1\right)} consisting of all multiples of the polynomial X 2 + 1 {\displaystyle X^{2}+1} . The quotient ring R [ X ] / (
Quotient_ring
Filter in electronics and signal processing
deviation of the Gaussian distribution. The Gaussian transfer function polynomials may be synthesized using a Taylor series expansion of the square of Gaussian
Gaussian_filter
Form of a matrix indicating its eigenvalues and their algebraic multiplicities
eigenvalues of the matrix lie in K, or equivalently if the characteristic polynomial of the operator splits into linear factors over K. This condition is always
Jordan_normal_form
Method of interpolation
stochastic model. Kriging with polynomial trend surfaces is mathematically identical to generalized least squares polynomial curve fitting. Kriging can also
Kriging
Algebraic encoding of graph connectivity
The Tutte polynomial, also called the dichromate or the Tutte–Whitney polynomial, is a graph polynomial. It is a polynomial in two variables which plays
Tutte_polynomial
conceptually different from the null space of a linear operator L, which is the kernel of L. (Incidentally, the null space of L is a zero space if and only if
Examples_of_vector_spaces
Computation of a cyclic redundancy check is derived from the mathematics of polynomial division, modulo two. In practice, it resembles long division of the binary
Computation of cyclic redundancy checks
Computation_of_cyclic_redundancy_checks
Type of product of matrices
Science, ArXiv Ninh, Pham; Pagh, Rasmus (2013). Fast and scalable polynomial kernels via explicit feature maps. SIGKDD international conference on Knowledge
Khatri–Rao_product
mathematics, Al-Salam–Carlitz polynomials U(a) n(x;q) and V(a) n(x;q) are two families of basic hypergeometric orthogonal polynomials in the basic Askey scheme
Al-Salam–Carlitz_polynomials
Type of mathematical function
said to be a radial kernel centered at c ∈ V {\textstyle \mathbf {c} \in V} . A radial function and the associated radial kernels are said to be radial
Radial_basis_function
Annual conference series on algorithms
inversion over matroid lattice 2016 Stefan Kratsch: A randomized polynomial kernelization for Vertex Cover with a smaller parameter Thomas Bläsius, Tobias
European Symposium on Algorithms
European_Symposium_on_Algorithms
Structure-preserving function between two rings
i for the variable X in the polynomial p) is a surjective ring homomorphism. The kernel of f consists of all polynomials in R[X] that are divisible by
Ring_homomorphism
Mathematical representation
polynomial, consider H1(Cn) as a module over the group-ring of covering transformations Z[Z], which is isomorphic to the ring of Laurent polynomials Z[t
Burau_representation
Type of differential operator
a composition of a Fourier transform, a simple multiplication by the polynomial function (called the symbol) P ( ξ ) = ∑ α a α ξ α , {\displaystyle P(\xi
Pseudo-differential_operator
Mathematical theorem used in numerical analysis
In numerical analysis, the Peano kernel theorem is a general result on error bounds for a wide class of numerical approximations (such as numerical quadratures)
Peano_kernel_theorem
in N variables and R is a PI-ring satisfying the polynomial P in N variables, then P is in the kernel of any homomorphism τ {\displaystyle \tau } : F →
Polynomial_identity_ring
Frobenius kernel Frobenius inner product Frobenius norm Frobenius manifold Frobenius matrix Frobenius method Frobenius normal form Frobenius polynomial Frobenius
List of things named after Ferdinand Georg Frobenius
List_of_things_named_after_Ferdinand_Georg_Frobenius
Mathematical proportionality to a square
functions with quadratic growth are exactly the quadratic polynomials, as these are the kernel of the third derivative operator D 3 {\displaystyle D^{3}}
Quadratic_growth
SIMD CPU instruction set
Windows 11 24H2 requires the CPU to support SSE4.2, otherwise the Windows kernel is unbootable. These instructions operate on integer rather than SSE registers
SSE4
Generalized function whose value is zero everywhere except at zero
represented by integration against a kernel K z ( ζ ) {\displaystyle K_{z}(\zeta )} , the Bergman kernel. This kernel is the analog of the delta function
Dirac_delta_function
Euclidean space without distance and angles
the common zeros of a set of so-called polynomial functions over the affine space. For defining a polynomial function over the affine space, one has
Affine_space
of invariants of a finite group acting on a complex vector space is a polynomial ring if and only if the group is generated by pseudoreflections. In the
Chevalley–Shephard–Todd theorem
Chevalley–Shephard–Todd_theorem
Idempotent linear transformation from a vector space to itself
many projections whose range (or kernel) is V {\displaystyle V} . If a projection is nontrivial it has minimal polynomial x 2 − x = x ( x − 1 ) {\displaystyle
Projection_(linear_algebra)
System where changes of output are not proportional to changes of input
equations) appear as variables of a polynomial of degree higher than one or in the argument of a function which is not a polynomial of degree one. In other words
Nonlinear_system
Differential equation that is linear with respect to the unknown function
differential equation (that is, the kernel of the differential operator). In the case where the characteristic polynomial has only simple roots, the preceding
Linear_differential_equation
polynomial sequence { p n ( z ) } {\displaystyle \{p_{n}(z)\}} has a generalized Appell representation if the generating function for the polynomials
Generalized Appell polynomials
Generalized_Appell_polynomials
Submodule of a mathematical ring
ideal as its kernel. Conversely, the kernel of a ring homomorphism is a two-sided ideal. Therefore, the two-sided ideals are exactly the kernels of ring homomorphisms
Ideal_(ring_theory)
"Smoothing" integral transform
fact that the generating function for the Hermite polynomials is closely related to the Gaussian kernel used in the definition of the Weierstrass transform
Weierstrass_transform
Algebraic structure with addition and multiplication
complex numbers, but they may also be non-numerical objects such as polynomials, square matrices, functions, and power series. More formally, a ring
Ring_(mathematics)
Algebraic structure in linear algebra
all polynomials p ( t ) {\displaystyle p(t)} forms an algebra known as the polynomial ring: using that the sum of two polynomials is a polynomial, they
Vector_space
Quantum algorithm for integer factorization
N {\displaystyle N} , Shor's algorithm runs in polynomial time, meaning the time taken is polynomial in log N {\displaystyle \log N} . It takes quantum
Shor's_algorithm
Type of statistical measure over subsets of a dataset
cubic polynomial unchanged. Outside the world of finance, weighted running means have many forms and applications. Each weighting function or "kernel" has
Moving_average
Probability problem
(mn) is a sequence of moments) if and only if the corresponding Hankel kernel on the nonnegative integers A = ( m 0 m 1 m 2 ⋯ m 1 m 2 m 3 ⋯ m 2 m 3 m
Hamburger_moment_problem
Set without nontrivial polynomial equalities
if the elements of S {\displaystyle S} do not satisfy any non-trivial polynomial equation with coefficients in K {\displaystyle K} . In particular, a one
Algebraic_independence
Branch of computational complexity theory
these problems require time that is exponential (so in particular super-polynomial) in the total size of the input. However, some problems can be solved
Parameterized_complexity
Category of regression analysis
Bayes. The hyperparameters typically specify a prior covariance kernel. In case the kernel should also be inferred nonparametrically from the data, the critical
Nonparametric_regression
Dutch computer scientist
Fellows, Michael R.; Hermelin, Danny (2009), "On problems without polynomial kernels", Journal of Computer and System Sciences, 75 (8): 423–434, CiteSeerX 10
Hans_L._Bodlaender
On polynomial rings over fields
Hilbert's syzygy theorem is one of the three fundamental theorems about polynomial rings over fields, first proved by David Hilbert in 1890, that were introduced
Hilbert's_syzygy_theorem
Mapping between functions in the quantum phase space
{p}}|.} The Weyl map may then also be expressed in terms of the integral kernel matrix elements of this operator, ⟨ x | Φ [ f ] | y ⟩ = ∫ − ∞ ∞ d p h
Wigner–Weyl_transform
Type of singular integral operator
only well-defined on tempered distributions modulo polynomials. Hilbert Transform Poisson kernel Riesz potential Strictly speaking, the definition (1)
Riesz_transform
POLYNOMIAL KERNEL
POLYNOMIAL KERNEL
Surname or Lastname
Swedish
Swedish : ornamental name formed with the common surname suffix -ell. The first element is unexplained, possibly from a place-name.English, Scottish, and northern Irish : unexplained; possibly a respelling of Scottish Kerneil, a habitational name from Carneil in Carnock, Fife.
Girl/Female
Australian, Chinese, Christian, Danish, German, Irish
Kernel; Nut
Female
English
Anglicized form of Irish Gaelic Eithne, ENA means "kernel."
Female
Irish
Variant spelling of Irish Gaelic Eithne, AITHNEA means "kernel."
Female
Irish
Variant spelling of Irish Gaelic Eithne, ETHNE means "kernel."
Female
English
 Variant spelling of English Ethna, ETNA means "kernel." Compare with another form of Etna.
Female
English
Anglicized form of Irish Gaelic Eithne, ETHNA means "kernel."
Surname or Lastname
Irish
Irish : reduced form of McCarron.German, Dutch, and Jewish (Ashkenazic) : from Middle High German kerne ‘kernel’, ‘seed’, ‘pip’; Middle Dutch kern(e), keerne; German Kern or Yiddish kern ‘grain’, hence a metonymic occupational name for a farmer, or a nickname for a small person. As a Jewish surname, it is mainly ornamental.English : probably a metonymic occupational name for a maker or user of hand mills, from Old English cweorn ‘hand mill’, or a habitational name for someone from Kern in the Isle of Wight, named from this word.
Female
Irish
Variant spelling of Irish Gaelic Eithne, AITHNE means "kernel."
Female
English
Anglicized form of Irish Gaelic Eithne, ENYA means "kernel."
Girl/Female
Australian, Celtic, Christian, Irish
Kernel; Nut
Girl/Female
Assamese, Christian, French, Gaelic, Indian, Marathi, Sanskrit, Swedish
The Zodiac Sign of Capricorn; Kernel
Female
Irish
(pronounced ee-na) Irish Gaelic name derived from the word eithne, EITHNE means "kernel." Edna, Ena, Enya, Ethna and Etna are Anglicized forms.
Girl/Female
Australian, Celtic, Christian, Irish
Graceful; Kernel
Female
English
(Hebrew ×¢Ö¶×“Ö°× Ö¸×”): Anglicized form of Irish Gaelic Eithne, EDNA means "kernel." Hebrew name meaning "delight, pleasure, rejuvenation." In the apocryphal Book of Tobit, this is the name of the mother of Sarah.Â
POLYNOMIAL KERNEL
POLYNOMIAL KERNEL
Male
Danish
, victor of the people.
Boy/Male
Muslim/Islamic
Slave of the Manifest
Girl/Female
Indian
Goddess of smallpox.
Boy/Male
Bengali, Indian
Joy; Wheel of Chariot
Boy/Male
Hindu
Lord Vishnu, Refuge of Man
Girl/Female
American, Australian, Chinese, German, Greek, Latin, Spanish, Swedish
Butterflies; Similar to Vanessa
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Ancient Name of a State
Boy/Male
African, Australian, Nigerian
Everything is Possible with God
Surname or Lastname
English
English : variant spelling of Winter.
Boy/Male
Tamil
Alias name of Lord Shiva
POLYNOMIAL KERNEL
POLYNOMIAL KERNEL
POLYNOMIAL KERNEL
POLYNOMIAL KERNEL
POLYNOMIAL KERNEL
n.
A polynomial of four terms connected by the signs plus or minus.
a.
Consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature.
n.
A polynomial name or term.
v. i.
To harden or ripen into kernels; to produce kernels.
a.
Alt. of Kernelled
n.
An expression composed of two or more terms, connected by the signs plus or minus; as, a2 - 2ab + b2.
n.
The essential part of a seed; all that is within the seed walls; the edible substance contained in the shell of a nut; hence, anything included in a shell, husk, or integument; as, the kernel of a nut. See Illust. of Endocarp.
a.
Containing many names or terms; multinominal; as, the polynomial theorem.
imp. & p. p.
of Kernel
a.
Having a kernel.
a.
Possessing the same number of factors of a given kind; as, a homogeneous polynomial.
n.
The woody, thick skin inclosing the kernel of a walnut.
n.
The central, substantial or essential part of anything; the gist; the core; as, the kernel of an argument.
v. t.
To beat out grain from, as straw or husks; to beat the straw or husk of (grain) with a flail; to beat off, as the kernels of grain; as, to thrash wheat, rye, or oats; to thrash over the old straw.
n.
A single seed or grain; as, a kernel of corn.
p. pr. & vb. n.
of Kernel
a.
Full of kernels; resembling kernels; of the nature of kernels.
n. & a.
Same as Polynomial.