AI & ChatGPT searches , social queries for OPERATOR NORM
Search references for OPERATOR NORM. Phrases containing OPERATOR NORM
See searches and references containing OPERATOR NORM!
Search references for OPERATOR NORM. Phrases containing OPERATOR NORM
See searches and references containing OPERATOR NORM!OPERATOR NORM
Measure of the "size" of linear operators
the operator norm measures the "size" of certain linear operators by assigning each a real number called its operator norm. Formally, it is a norm defined
Operator_norm
Norm on a vector space of matrices
linear operator; then a matrix norm may describe how much the operator can stretch vectors. Such matrix norms induced by vector norms are called operator norms
Matrix_norm
Topic in mathematics
norm). The set of Hilbert–Schmidt operators is closed in the norm topology if, and only if, H is finite-dimensional. Every Hilbert–Schmidt operator T :
Hilbert–Schmidt_operator
Kind of linear transformation
M} is called the operator norm of L {\displaystyle L} and denoted by ‖ L ‖ . {\displaystyle \|L\|.} A linear operator between normed spaces is continuous
Bounded_operator
Type of continuous linear operator
Compact operators partly restore this finite-dimensional behavior by sending bounded sets to sets whose closures are compact, or equivalently, in normed spaces
Compact_operator
Mathematical norm
the Ky Fan n-norm). The Schatten 2-norm is the Frobenius norm. The Schatten ∞-norm is the spectral norm (also known as the operator norm, or the largest
Schatten_norm
Length in a vector space
norm – Norm on a vector space of matrices Minkowski distance – Vector distance function Minkowski functional – Function made from a set Operator norm –
Norm_(mathematics)
Mathematical function often applied to matrices
norm is a real-valued functional on operators, constructed from either a vector norm or an inner product, or directly from the induced operator norm.
Logarithmic_norm
Branch of functional analysis
reference to algebras of operators on a separable Hilbert space, endowed with the operator norm topology. In the case of operators on a Hilbert space, the
Operator_algebra
Bounded linear operator
x}f(y)dy} proven by exchanging the integral sign. V is a Hilbert–Schmidt operator with norm ‖ V ‖ H S 2 = 1 / 2 {\displaystyle \|V\|_{HS}^{2}=1/2} , hence in
Volterra_operator
Functional analysis concept
closure of finite-rank operators (representable by finite-dimensional matrices) in the topology induced by the operator norm. As such, results from matrix
Compact operator on Hilbert space
Compact_operator_on_Hilbert_space
Measurement on a normed vector space
Theorems 1 and 2 below.) The dual norm is a special case of the operator norm defined for each (bounded) linear map between normed vector spaces. Since the ground
Dual_norm
Linear operator scaling by a fixed function
operator. This example can be easily generalized to characterizing the norm and spectrum of a multiplication operator on any Lp space. Shift operator
Multiplication_operator
Bound on the Lp -> Lq operator norm
inequality for integral operators, is a bound on the L p → L q {\displaystyle L^{p}\to L^{q}} operator norm of an integral operator in terms of L r {\displaystyle
Young's inequality for integral operators
Young's_inequality_for_integral_operators
Schatten-class operator is a bounded linear operator on a Hilbert space with finite pth Schatten norm. The space of pth Schatten-class operators is a Banach
Schatten_class_operator
the question arises what Euclidean norms the output can assume. This can be bounded by the help of the operator norm. ∀ x ‖ P ⋅ x ‖ 2 ∈ [ ‖ P − 1 ‖ 2
Polyphase_matrix
Mathematical series
is a bounded linear operator on the normed vector space X {\displaystyle X} . If the Neumann series converges in the operator norm, then I − T {\displaystyle
Neumann_series
Function acting on function spaces
over a Banach space form a Banach algebra in respect to the standard operator norm. The theory of Banach algebras develops a very general concept of spectra
Operator_(mathematics)
Topologies on operators on a Hilbert space
If ‖ T n − T ‖ → 0 {\displaystyle \|T_{n}-T\|\to 0} , that is, the operator norm of T n − T {\displaystyle T_{n}-T} (the supremum of ‖ T n x − T x ‖
Operator_topologies
Weak topology on function spaces
one can say that the weak-operator and σ-weak topologies agree on norm-bounded sets in B(H): Every trace-class operator is of the form S = ∑ i λ i u
Weak_operator_topology
Topics referred to by the same term
Matrix norm, a map that assigns a length or size to a matrix Operator norm, a map that assigns a length or size to any operator in a function space Norm (abelian
Norm
Matrix decomposition
operator 2-norm. One can easily verify the relationship between the Ky Fan 1-norm and singular values. It is true in general, for a bounded operator
Singular_value_decomposition
Compact operator for which a finite trace can be defined
\|T\|_{1}:=\operatorname {Tr} (|T|).} One can show that the trace-norm is a norm on the space of all trace class operators B 1 ( H ) {\displaystyle B_{1}(H)} and that B 1
Trace_class
Theorem stating that pointwise boundedness implies uniform boundedness
linear operators (and thus bounded operators) whose domain is a Banach space, pointwise boundedness is equivalent to uniform boundedness in operator norm. The
Uniform_boundedness_principle
Inequalities in number theory and matrix theory
operator norm. In jargon, it says that λ k {\displaystyle \lambda _{k}} is Lipschitz-continuous on the space of Hermitian matrices with operator norm
Weyl's_inequality
Function between topological vector spaces
linear operator or continuous linear mapping is a continuous linear transformation between topological vector spaces. An operator between two normed spaces
Continuous_linear_operator
Function spaces generalizing finite-dimensional p norm spaces
spaces are function spaces defined using a natural generalization of the p-norm for finite-dimensional vector spaces. They are sometimes called Lebesgue
Lp_space
Type of operator in Fourier analysis
that page. Additional important background may be found on the pages operator norm and Lp space. In the setting of periodic functions defined on the unit
Multiplier_(Fourier_analysis)
subalgebras of self-adjoint operators on a real or complex Hilbert space with the operator Jordan product and the operator norm are called JC algebras. The
Jordan_operator_algebra
Foundational object in quantum communication theory
However, the operator norm may increase when we tensor Φ {\displaystyle \Phi } with the identity map on some ancilla. To make the operator norm even a more
Quantum_channel
Class of integral and differential operator
integral operators (or L2 → L2 operator norm) was obtained by Lars Hörmander in his paper on Fourier integral operators: Assume that x,y ∈ Rn, n ≥ 1. Let
Oscillatory_integral_operator
Conjugate transpose of an operator in infinite dimensions
transpose, of an operator A : E → F {\displaystyle A:E\to F} , where E , F {\displaystyle E,F} are Banach spaces with corresponding norms ‖ ⋅ ‖ E , ‖ ⋅ ‖
Hermitian_adjoint
(on a complex Hilbert space) continuous linear operator
N_{1}^{*}A=AN_{2}^{*}} . The operator norm of a normal operator equals its numerical radius[clarification needed] and spectral radius. A normal operator coincides with
Normal_operator
Part of Fredholm theories in integral equations
{\displaystyle L(X,Y)} of bounded linear operators, equipped with the operator norm, and the index is locally constant. More precisely, if T 0 {\displaystyle
Fredholm_operator
Square roots of the eigenvalues of the self-adjoint operator
singular value σ 1 ( T ) {\displaystyle \sigma _{1}(T)} is equal to the operator norm of T {\displaystyle T} (see Min-max theorem). If T {\displaystyle T}
Singular_value
Largest absolute value of an operator's eigenvalues
formula, also holds for bounded linear operators: letting ‖ ⋅ ‖ {\displaystyle \|\cdot \|} denote the operator norm, we have ρ ( A ) = lim k → ∞ ‖ A k ‖
Spectral_radius
Inequality involving integral operators
a bound on the L 2 → L 2 {\displaystyle L^{2}\to L^{2}} operator norm of an integral operator in terms of its Schwartz kernel (see Schwartz kernel theorem)
Schur_test
Type of vector space in math
Conversely, if an operator is bounded, then it is continuous. The space of such bounded linear operators has a norm, the operator norm given by ‖ A ‖ =
Hilbert_space
Mathematical theory by discovered by Józef Marcinkiewicz
bounding the norms of non-linear operators acting on Lp spaces. Marcinkiewicz' theorem is similar to the Riesz–Thorin theorem about linear operators, but also
Marcinkiewicz interpolation theorem
Marcinkiewicz_interpolation_theorem
Machine learning model training problem
Since | σ ′ | ≤ 1 {\displaystyle \left|\sigma '\right|\leq 1} , the operator norm of the above multiplication is bounded above by ‖ W rec ‖ k {\displaystyle
Vanishing_gradient_problem
Theorem in axiomatic quantum field theory
creating a unit vector localized outside the region requires operators of ever increasing operator norm. This theorem is also cited in connection with quantum
Reeh–Schlieder_theorem
Bound on the norm of Fourier coefficients
[1,2]} . Furthermore, the operator norm of this linear map is less than or equal to one. Here we use the language of normed vector spaces and bounded
Hausdorff–Young_inequality
Particular kind of algebraic structure
composition as multiplication and the operator norm as norm) is a unital Banach algebra. The set of all compact operators on E {\displaystyle E} is a Banach
Banach_algebra
Construction in functional analysis, useful to solve differential equations
multiplication operator Th on Lp(μ): ( T h f ) ( s ) = h ( s ) ⋅ f ( s ) . {\displaystyle (T_{h}f)(s)=h(s)\cdot f(s).} The operator norm of T is the essential
Decomposition of spectrum (functional analysis)
Decomposition_of_spectrum_(functional_analysis)
Bounded operators with sub-unit norm
In operator theory, a bounded operator T: X → Y between normed vector spaces X and Y is said to be a contraction if its operator norm ||T || ≤ 1. Every
Contraction_(operator_theory)
Theorems connecting continuity to closure of graphs
the operator is closed (such an operator is called a closed linear operator; see also closed graph property). Since an operator between two normed spaces
Closed graph theorem (functional analysis)
Closed_graph_theorem_(functional_analysis)
to obtain information on the operator norm on an operator, acting from one Hilbert space into another, when the operator can be decomposed into almost
Cotlar–Stein_lemma
Mathematical concept
onto H2(T) is called the Szegő projection. It is a bounded operator on L2(T) with operator norm 1. By Cauchy's integral formula, F ( z ) = 1 2 π i ∫ | ζ
Singular integral operators of convolution type
Singular_integral_operators_of_convolution_type
Matrix decomposition method
the operator norm is a C* algebra. So ( L k ) k {\textstyle \left(\mathbf {L} _{k}\right)_{k}} is a bounded set in the Banach space of operators, therefore
Cholesky_decomposition
Theorem in quantum information theory
gates can be approximated to ε {\displaystyle \varepsilon } error (in operator norm) by a quantum circuit of O ( m log c ( m / ε ) ) {\displaystyle O(m\log
Solovay–Kitaev_theorem
Normed vector space that is complete
linear operator is a bounded linear operator and if dealing only with normed spaces then the converse is also true. That is, a linear operator between
Banach_space
Topological complex vector space
linear operators on a complex Hilbert space with two additional properties: A is a topologically closed set in the norm topology of operators. A is closed
C*-algebra
Area of mathematics
linear operators (and thus bounded operators) whose domain is a Banach space, pointwise boundedness is equivalent to uniform boundedness in operator norm. The
Functional_analysis
Hf}} in the L2 norm. This is a consequence of the result for trigonometric polynomials since the Hε are uniformly bounded in operator norm: indeed their
Singular integral operators on closed curves
Singular_integral_operators_on_closed_curves
Result about when a matrix can be diagonalized
{\displaystyle \lambda (v)} , the action of a diagonal matrix. Finally, the operator norm | A | = | T | {\displaystyle |A|=|T|} is equal to the magnitude of the
Spectral_theorem
Exponentially decreasing bounds on tail distributions of random variables
[M_{i}]=0} . Let us denote by ‖ M ‖ {\displaystyle \lVert M\rVert } the operator norm of the matrix M {\displaystyle M} . If ‖ M i ‖ ≤ γ {\displaystyle \lVert
Chernoff_bound
Linear operator equal to its own adjoint
image of A {\displaystyle A} is dense in H . {\displaystyle H.} The operator norm is given by ‖ A ‖ = sup { | ⟨ x , A x ⟩ | : ‖ x ‖ = 1 } {\displaystyle
Self-adjoint_operator
linear operator defined on that subspace and taking values in c 0 {\displaystyle c_{0}} can be extended to the entire space with operator norm at most
Sobczyk's_theorem
Numerical methods for matrix eigenvalue calculation
given by ||A||op||A−1||op, where || ||op is the operator norm subordinate to the normal Euclidean norm on Cn. Since this number is independent of b and
Eigenvalue_algorithm
Generative adversarial network variant
if we can upper-bound operator norms ‖ W i ‖ s {\displaystyle \|W_{i}\|_{s}} of each matrix, we can upper-bound the Lipschitz norm of D {\displaystyle D}
Wasserstein_GAN
Riemannian manifold equipped with a differential p-form
closed, that is, dφ = 0, where d is the exterior derivative. φ has operator norm at most 1. That is, for any x ∈ M and any p-vector ξ ∈ Λ p T x M {\displaystyle
Calibrated_geometry
Manifold with inversion symmetry
generalized unit disk. In fact it is the convex set of X for which the operator norm of ad Im X is less than one. A bounded domain Ω in a complex vector
Hermitian_symmetric_space
Mathematical method in functional analysis
{\displaystyle Y.} In addition, the operator norm of L {\displaystyle L} is c {\displaystyle c} if and only if the norm of L ^ {\displaystyle {\widehat {L}}}
Continuous_linear_extension
Theorem on operator interpolation
about interpolation of operators. It is named after Marcel Riesz and his student G. Olof Thorin. This theorem bounds the norms of linear maps acting between
Riesz–Thorin_theorem
Open convex self-dual cones
in the operator norm corresponding to either the inner product norm or spectral norm. Hence ||L(a)|| ≤ ||a|| for all a, so that the spectral norm satisfies
Symmetric_cone
operator norm? Every finite-dimensional reflexive algebra is hyper-reflexive. However, there are examples of infinite-dimensional reflexive operator algebras
Reflexive_operator_algebra
Type of probability distribution
Frobenius norm of the matrix, and ‖ A ‖ = max ‖ x ‖ 2 = 1 ‖ A x ‖ 2 {\displaystyle \|A\|=\max _{\|x\|_{2}=1}\|Ax\|_{2}} is the operator norm of the matrix
Sub-Gaussian_distribution
Branch of mathematics that studies dynamical systems
Lp-functions on X. The ergodic means, as linear operators on Lp(X, Σ, μ) also have unit operator norm; and, as a simple consequence of the Birkhoff–Khinchin
Ergodic_theory
singular operator is a bounded linear operator between normed spaces which is not bounded below on any infinite-dimensional subspace. Let X and Y be normed linear
Strictly_singular_operator
Continuous dual space endowed with the topology of uniform convergence on bounded sets
X} is a normed space with norm ‖ ⋅ ‖ {\displaystyle \|\cdot \|} then X ′ {\displaystyle X^{\prime }} has a canonical norm (the operator norm) given by
Strong_dual_space
Image edge detection algorithm
of the Sobel–Feldman operator is either the corresponding gradient vector or the norm of this vector. The Sobel–Feldman operator is based on convolving
Sobel_operator
for an invertible operator to be similar to a unitary operator: the operator norms of all the positive and negative powers must be uniformly bounded. The
Uniformly bounded representation
Uniformly_bounded_representation
Foundational principle in quantum physics
\|L_{T}R_{W}\|^{2}\leq {\frac {|T||W|}{|G|}}} where the norm is the operator norm of operators on the Hilbert space ℓ 2 ( Z / N Z ) {\displaystyle \ell
Uncertainty_principle
2016 animated film by Trevor Wall
Norm of the North is a 2016 animated adventure comedy film directed by Trevor Wall. The film features the voices of Rob Schneider, Heather Graham, Ken
Norm_of_the_North
Every polynomial has a real or complex root
outside the closed disc of radius ‖ A ‖ {\displaystyle \|A\|} (the operator norm of A). Let r > ‖ A ‖ . {\displaystyle r>\|A\|.} Then ∫ c ( r ) R ( z
Fundamental theorem of algebra
Fundamental_theorem_of_algebra
About the convergence of Newton's method
{y} )\|\leq L\;\|\mathbf {x} -\mathbf {y} \|} holds. The norm on the left is the operator norm. In other words, for any vector v ∈ R n {\displaystyle \mathbf
Kantorovich_theorem
Fuzzy logic concept
In mathematics, a t-norm (also T-norm or, unabbreviated, triangular norm) is a kind of binary operation used in the framework of probabilistic metric spaces
T-norm
In functional analysis, a discipline within mathematics, an operator space is a normed vector space (not necessarily a Banach space) "given together with
Operator_space
{\displaystyle {\mathfrak {A}}} is the closure of A {\displaystyle A} for the operator norm, then Connes introduces an extended pseudo-metric on the state space
Spectral_triple
Mathematical space
‖⋅‖ denotes the operator norm. The exact inner product used does not matter, because a different inner product gives an equivalent norm on V {\displaystyle
Grassmannian
Function's sensitivity to argument change
value (for nonzero b and e) is then seen to be the product of the two operator norms as follows: max e , b ≠ 0 { ‖ A − 1 e ‖ ‖ e ‖ ‖ b ‖ ‖ A − 1 b ‖ } =
Condition_number
Vector space of functions in mathematics
Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp-norms of the function together with its derivatives up to a given
Sobolev_space
Branch of functional analysis
series converges everywhere, the above series will converge, in a chosen operator norm. An example of this is the exponential of a matrix. Replacing z by T
Holomorphic functional calculus
Holomorphic_functional_calculus
with arbitrarily large operator norm. Precomposing g with a suitable element in G, it follows that Z = g(0) will have operator norm greater than 1. If g(W)
Invariant_convex_cone
Theorem in mathematics
weakly convergent sequence in a Banach space Operator norm – Measure of the "size" of linear operators James (1971) James (1957) James (1964) Klee (1962)
James's_theorem
Concept in functional analysis
{\displaystyle T:X\to Y.} Denote by ‖ T ‖ {\displaystyle \|T\|} the operator norm of such a linear map — the maximum factor by which it "lengthens" vectors
Banach–Mazur_compactum
the operator norm of M as a linear operator with respect to the Euclidean norms of Km and Kn. In other words, the Ky Fan 1-norm is the operator norm induced
List_of_Chinese_discoveries
relative to the optimal error together with the operator norm of the projection. Let (V, ||·||) be a normed vector space, U a subspace of V, and P a linear
Lebesgue's_lemma
C*-algebra mapping preserving positive elements
positive map is automatically continuous with respect to the C*-norms and its operator norm equals ‖ ϕ ( 1 A ) ‖ B {\displaystyle \|\phi (1_{A})\|_{B}}
Completely_positive_map
Mathematical term
operators, for instance on a Hilbert space. The term is most commonly used for the initial topology of a topological vector space (such as a normed vector
Weak_topology
)g_{n}} with the sum converging in the operator norm. Operators that are nuclear of order 1 are called nuclear operators: these are the ones for which the
Nuclear operators between Banach spaces
Nuclear_operators_between_Banach_spaces
Relation among continuous functions
H\}<\infty } (that is, H {\displaystyle H} is uniformly bounded in the operator norm). Let X {\displaystyle X} be a topological vector space (TVS) over the
Equicontinuity
Theorem on extension of bounded linear functionals
on a vector subspace M {\displaystyle M} of a normed space X , {\displaystyle X,} so its the operator norm ‖ f ‖ {\displaystyle \|f\|} is a non-negative
Hahn–Banach_theorem
Approach used in computer vision systems
_{tt,\mathrm {norm} }(\nabla _{(x,y),\mathrm {norm} }^{2}L)=s^{\gamma _{s}}\tau ^{\gamma _{\tau }}(L_{xxtt}+L_{yytt}).} For the first operator, scale selection
Corner_detection
Mathematical transform that expresses a function of time as a function of frequency
\int _{\mathbb {R} ^{n}}\vert f(x)\vert \,dx,} which shows that its operator norm is bounded by 1. The Riemann–Lebesgue lemma shows that if f ∈ L 1 (
Fourier_transform
Locally compact topological group with an invariant averaging operation
convolution on L2(G) by a symmetric probability measure on G gives an operator of operator norm 1. Johnson's cohomological condition. The Banach algebra A = L1(G)
Amenable_group
Matrix property in linear algebra
identity matrix and ‖ X ‖ 2 → 2 {\displaystyle \|X\|_{2\to 2}} is the operator norm. See for example for a proof. Finally this is equivalent to stating
Restricted_isometry_property
Unique extension of pure states in Hilbert spaces
by 0. The matrix norm ‖ ⋅ ‖ {\displaystyle \|\cdot \|} is the spectral norm, i.e. the operator norm with respect to the Euclidean norm on C n {\displaystyle
Kadison–Singer_problem
Mathematical function
fields, operators, and bilinear forms are closely related and compatible. A mapping f : X → X ′ {\displaystyle f:X\to X'} between two normed vector spaces
Coercive_function
Vector space of infinite sequences
‖ p {\displaystyle |L_{x}(y)|\leq \|x\|_{q}\,\|y\|_{p}} so that the operator norm satisfies ‖ L x ‖ ( ℓ p ) ∗ = d e f sup y ∈ ℓ p , y ≠ 0 | L x ( y )
Sequence_space
OPERATOR NORM
OPERATOR NORM
Boy/Male
Muslim/Islamic
Orator Preacher
Boy/Male
Arabic
Orator; Speaker
Boy/Male
Arabic
Orator; Speaker
Biblical
an orator
Girl/Female
Biblical
An orator, an interpreter.
Girl/Female
Assamese, Hindu, Indian, Tamil
Magnificent Poetess; Orator
Boy/Male
Muslim
Orator, Preacher, Religious minister
Boy/Male
Arabic, Muslim
Orator; Preacher
Boy/Male
Tamil
Orator
Boy/Male
Arabic, Indian, Muslim
Orator; Preacher
Girl/Female
Biblical
An orator, a word.
Boy/Male
Hindu, Indian, Malayalam, Marathi
Great Orator
Boy/Male
Biblical
An orator.
Girl/Female
Arabic
Orator; Preacher
Boy/Male
Muslim
Orator, Preacher, Religious minister
Boy/Male
Tamil
Vakpati | வாகà¯à®ªà®¤à®¿
Great orator
Vakpati | வாகà¯à®ªà®¤à®¿
Boy/Male
Hindu, Indian, Kannada, Marathi, Tamil, Telugu
Orator
Girl/Female
Arabic
Orator; Preacher
Girl/Female
Hindu, Indian, Sindhi, Tamil
Magnificent Poetess; Orator
Boy/Male
Hindu
Great orator
OPERATOR NORM
OPERATOR NORM
Boy/Male
Hindu
Name of Lord Vishnu
Girl/Female
Muslim
Galaxy
Girl/Female
Assamese, Hindu, Indian, Kannada, Marathi, Telugu
Goddess Parvati
Boy/Male
Hindu, Indian, Punjabi, Sikh
God's Light
Boy/Male
Tamil
The name of a dynasty of king kaikobad
Boy/Male
Hindu, Indian
Judge
Girl/Female
Hindu, Indian, Modern
Brilliant
Boy/Male
Greek
Well bom.
Girl/Female
Arabic, Assamese, French, Hindu, Indian, Kannada, Malayalam, Marathi, Muslim, Sindhi
Capable; Sociability; Sweet Voice; Music; Geniality
Boy/Male
Anglo Saxon
From the north state.
OPERATOR NORM
OPERATOR NORM
OPERATOR NORM
OPERATOR NORM
OPERATOR NORM
n.
A dealer in stocks or any commodity for speculative purposes; a speculator.
n.
One who performs some act upon the human body by means of the hand, or with instruments.
v. t.
To put into, or to continue in, operation or activity; to work; as, to operate a machine.
n.
Something to be done; some transformation to be made upon quantities, the transformation being indicated either by rules or symbols.
n.
In the University of Oxford, an examiner for moderations; at Cambridge, the superintendant of examinations for degrees; at Dublin, either the first (senior) or second (junior) in rank in an examination for the degree of Bachelor of Arts.
n.
The method of working; mode of action.
n.
An officer who is the voice of the university upon all public occasions, who writes, reads, and records all letters of a public nature, presents, with an appropriate address, those persons on whom honorary degrees are to be conferred, and performs other like duties; -- called also public orator.
n.
The symbol that expresses the operation to be performed; -- called also facient.
n.
One who, or that which, operates or produces an effect.
n.
A mechamical arrangement for regulating motion in a machine, or producing equality of effect.
n.
Operation.
n.
That which is operated or accomplished; an effect brought about in accordance with a definite plan; as, military or naval operations.
n.
Effect produced; influence.
imp. & p. p.
of Operate
n.
Any methodical action of the hand, or of the hand with instruments, on the human body, to produce a curative or remedial effect, as in amputation, etc.
a.
Alt. of Operatical
n.
The act or process of operating; agency; the exertion of power, physical, mechanical, or moral.
n.
The officer who presides over an assembly to preserve order, propose questions, regulate the proceedings, and declare the votes.
n.
A laboratory.
n.
One fond of his own opinious; one who holds an opinion.