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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
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
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)
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
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
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
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
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
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
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
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)
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
} , 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
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
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
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
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, Jacobi polynomials (occasionally called hypergeometric polynomials) P n ( α , β ) ( x ) {\displaystyle P_{n}^{(\alpha ,\beta )}(x)} are
Jacobi_polynomials
Polynomial sequence
In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence. The polynomials arise in: signal processing as Hermitian wavelets
Hermite_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
Identity for a sequence of orthogonal polynomials
n)\end{cases}}} In other words, the kernel is an integral operator that orthogonally projects each polynomial to the space of polynomials of degree up to n {\displaystyle
Christoffel–Darboux_formula
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Linear recurrence equation
as polynomials. P-recursive equations are linear recurrence equations (or linear recurrence relations or linear difference equations) with polynomial coefficients
P-recursive_equation
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
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
common kernel layer. In particular, the user can choose between supplying the data or a precomputed kernel in input space. Linear, polynomial, Gaussian
Mlpy
"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
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
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
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
Polynomial in combinatorial mathematics
In combinatorial mathematics a cycle index is a polynomial in several variables which is structured in such a way that information about how a group of
Cycle_index
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
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
) {\displaystyle \cos(nx)} is a polynomial of cos x {\displaystyle \cos x} , the so-called Chebyshev polynomial of the first kind, T_n ; thus, cos
List of trigonometric identities
List_of_trigonometric_identities
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
Numerical technique
u_{p}(y)} be the corresponding Lagrange basis polynomials. One can show that the interpolating polynomial 1 y − x = ∑ i = 1 p 1 t i − x u i ( y ) + ϵ p
Fast_multipole_method
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
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
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
Polynomial with all terms of degree two
mathematics, a quadratic form is a polynomial with terms all of degree two ("form" is another name for a homogeneous polynomial). For example, 4 x 2 + 2 x y
Quadratic_form
"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
Computer operating system
between the Kernel, which consists of the code which runs at the kernel access mode, and the less-privileged code outside of the Kernel which runs at
OpenVMS
Used for the resultant of two polynomials
two univariate polynomials with coefficients in a field or a commutative ring. The entries of the Sylvester matrix of two polynomials are coefficients
Sylvester_matrix
Method for visualizing vector fields
Hans-Christian; Stalling, Detlev (1998), "Fast LIC with Piecewise Polynomial Filter Kernels", in Hege, Hans-Christian; Polthier, Konrad (eds.), Mathematical
Line_integral_convolution
Algebraic structure
algebra A n ( C ) {\displaystyle A_{n}(\mathbb {C} )} , being the ring of polynomial differential operators defined over affine space; for example, A 1 ( C
Noncommutative_ring
Fitting an approximating function to data
Many different algorithms are used in smoothing, most commonly binning, kernels, and local weighted regression. Smoothing may be distinguished from the
Smoothing
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)
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
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
Stochastic point process in mathematics
k} th Hermite polynomial. The Airy process is governed by the so called extended Airy kernel which is a generalization of the Airy kernel function K A
Determinantal_point_process
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
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
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
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
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)
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
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
Aspect of algebraic number theory
that induce the identity automorphism on Fj. In other words, IPj is the kernel of reduction map D P j → Gal ( F j / F ) {\displaystyle D_{P_{j}}\to \operatorname
Splitting of prime ideals in Galois extensions
Splitting_of_prime_ideals_in_Galois_extensions
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
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.
Female
English
Anglicized form of Irish Gaelic Eithne, ETHNA means "kernel."
Girl/Female
Australian, Celtic, Christian, Irish
Kernel; Nut
Female
Irish
Variant spelling of Irish Gaelic Eithne, AITHNE means "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.
Female
English
Anglicized form of Irish Gaelic Eithne, ENYA means "kernel."
Female
English
Anglicized form of Irish Gaelic Eithne, ENA means "kernel."
Girl/Female
Australian, Chinese, Christian, Danish, German, Irish
Kernel; Nut
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
Female
Irish
Variant spelling of Irish Gaelic Eithne, AITHNEA means "kernel."
Female
English
 Variant spelling of English Ethna, ETNA means "kernel." Compare with another form of Etna.
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.
Girl/Female
Assamese, Christian, French, Gaelic, Indian, Marathi, Sanskrit, Swedish
The Zodiac Sign of Capricorn; Kernel
Female
Irish
Variant spelling of Irish Gaelic Eithne, ETHNE means "kernel."
Girl/Female
Australian, Celtic, Christian, Irish
Graceful; Kernel
POLYNOMIAL KERNEL
POLYNOMIAL KERNEL
Boy/Male
Indian
Mason, Architect
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Possessed of Good Fortune; Lucky Person
Girl/Female
Muslim
Affectionate.
Boy/Male
Indian
The Sun God
Girl/Female
Tamil
Vindhuja | விநà¯à®¤à¯à®œà®¾
Knowledge
Girl/Female
Native American
Secret.
Boy/Male
Tamil
Dhyanadeep | தà¯à®¯à®¾à®¨à®¤à¯€à®ª
Icon of meditation and concentration
Boy/Male
Muslim
Elevation
Girl/Female
Greek Indian
Food of the gods.
Boy/Male
Australian, British, English
Of Cornish Hen Mouse and Luster; Moon
POLYNOMIAL KERNEL
POLYNOMIAL KERNEL
POLYNOMIAL KERNEL
POLYNOMIAL KERNEL
POLYNOMIAL KERNEL
n.
A polynomial of four terms connected by the signs plus or minus.
imp. & p. p.
of Kernel
n.
A single seed or grain; as, a kernel of corn.
p. pr. & vb. n.
of Kernel
n.
An expression composed of two or more terms, connected by the signs plus or minus; as, a2 - 2ab + b2.
a.
Full of kernels; resembling kernels; of the nature of kernels.
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 polynomial name or term.
a.
Consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature.
n.
The central, substantial or essential part of anything; the gist; the core; as, the kernel of an argument.
v. i.
To harden or ripen into kernels; to produce kernels.
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.
n.
The woody, thick skin inclosing the kernel of a walnut.
a.
Having a kernel.
a.
Alt. of Kernelled
a.
Possessing the same number of factors of a given kind; as, a homogeneous polynomial.
n. & a.
Same as Polynomial.
a.
Containing many names or terms; multinominal; as, the polynomial theorem.