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Integral transform used in various branches of mathematics
In mathematics, the Abel transform, named for Niels Henrik Abel, is an integral transform often used in the analysis of spherically symmetric or axially
Abel_transform
Mapping involving integration between function spaces
edition: Mathematically, what is the kernel in path integral? Assuming the Abel transform is not discontinuous at u {\displaystyle u} . Some conditions apply
Integral_transform
of transforms in mathematics. Abel transform Aboodh transform Bateman transform Fourier transform Fourier cosine transform Fourier sine transform Fractional
List_of_transforms
Norwegian mathematician (1802–1829)
Niels Henrik Abel (/ˈɑːbəl/ AH-bəl, Norwegian: [ˌnɪls ˈhɛ̀nːɾɪk ˈɑ̀ːbl̩]; 5 August 1802 – 6 April 1829) was a Norwegian mathematician who made pioneering
Niels_Henrik_Abel
Mathematical operation
even n − m ≥ 0. Fourier transform Integral transform Abel transform Fourier–Bessel series Neumann polynomial Y and H transforms Louis de Branges (1968)
Hankel_transform
Integral transform useful in probability theory, physics, and engineering
In mathematics, the Laplace transform, named after Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable
Laplace_transform
Theorem in mathematics
projection onto any projection line will be the Abel transform of f(r). The two-dimensional Fourier transform of f(r) will be a circularly symmetric function
Projection-slice_theorem
Mathematical concept
explanation needed] Taking the inverse Fourier transform of the resulting product {r|k|fk} gives the Abel means Arf of f: A r f ( e 2 π i x ) = ∑ k ∈ Z
Poisson_kernel
Theorem to simplify sums of products of sequences
certain types of sums. It is also called Abel's lemma or Abel transformation, named after Niels Henrik Abel who introduced it in 1826. Suppose { f k }
Summation_by_parts
theorem Abel polynomials Abel's summation formula Abelian means Abel's test Abel's theorem Abelian theorem Abel–Ruffini theorem Abel transform Abel transformation
List of things named after Niels Henrik Abel
List_of_things_named_after_Niels_Henrik_Abel
Representation theory
Beerends, R. J. (1987), "The Fourier transform of Harish-Chandra's c-function and inversion of the Abel transform", Math. Ann., 277: 1–23, doi:10.1007/BF01457275
Plancherel theorem for spherical functions
Plancherel_theorem_for_spherical_functions
Remote sensing technique
amount of bending can be related to the refractive index by using an Abel transform on the formula relating bending angle to refractivity. In the case of
Radio_occultation
Norwegian international mathematics prize
The Abel Prize (/ˈɑːbəl/ AH-bəl; Norwegian: Abelprisen [ˈɑ̀ːbl̩ˌpriːsn̩]) is awarded annually by the King of Norway to one or more outstanding mathematicians
Abel_Prize
Used in the summation of divergent series
Niels Henrik Abel and Alfred Tauber. The original examples are Abel's theorem showing that if a series converges to some limit then its Abel sum is the
Abelian and Tauberian theorems
Abelian_and_Tauberian_theorems
Ionized part of Earth's upper atmosphere
the GNSS satellite rise or set behind the Earth. Using an Inverse Abel's transform, a radial profile of refractivity at that tangent point on earth can
Ionosphere
Test for series convergence
In mathematics, Abel's test (also known as Abel's criterion) is a method of testing for the convergence of an infinite series. The test is named after
Abel's_test
Differential operator in mathematics
^{n}} , the Laplacian is particularly simple after applying the Fourier transform. With the convention f ^ ( ξ ) = ∫ R n f ( x ) e − 2 π i x ⋅ ξ d x , {\displaystyle
Laplace_operator
2015 film by Steven Spielberg
plane was shot down over the Soviet Union in 1960—in exchange for Rudolf Abel, a convicted Soviet KGB spy held by the United States, whom Donovan represented
Bridge_of_Spies_(film)
American mathematician
the following theorem relating the partial sums of a sequence to its Abel transform: lim sup t → 1 − | ∑ k = 1 ∞ t k u k − ∑ k = 1 [ q / log t − 1 ] u
Ralph_Palmer_Agnew
Certain vector fields are the sum of an irrotational and a solenoidal vector field
\cdot \mathbf {r} }dV_{k}} The Fourier transform of a scalar field is a scalar field, and the Fourier transform of a vector field is a vector field of
Helmholtz_decomposition
Curve for which the time to roll to the end is equal for all starting points
loosely on Proctor, pp. 135–139) Niels Henrik Abel attacked a generalized version of the tautochrone problem (Abel's mechanical problem), namely, given a function
Tautochrone_curve
Identity relating to differential equations
In mathematics, Abel's identity (also called Abel's formula or Abel's differential equation identity) is an equation that expresses the Wronskian of two
Abel's_identity
Infinite sum
by Abel, but the first to attack it successfully were Seidel and Stokes (1847–48). Cauchy took up the problem again (1853), acknowledging Abel's criticism
Series_(mathematics)
Mathematical identities
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Vector_calculus_identities
Matrix of partial derivatives of a vector-valued function
"rotating" or "transforming" that the function imposes locally near that point. For example, if (x′, y′) = f(x, y) is used to smoothly transform an image,
Jacobian matrix and determinant
Jacobian_matrix_and_determinant
Conditions for switching order of integration in calculus
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Fubini's_theorem
Mathematical method in calculus
product of their derivative and antiderivative. It is frequently used to transform the antiderivative of a product of functions into an antiderivative for
Integration_by_parts
Multivariate derivative (mathematics)
p} gives the direction and the rate of fastest increase. The gradient transforms like a vector under change of basis of the space of variables of f {\displaystyle
Gradient
Integral of sin(x)/x from 0 to infinity
derivation) as well as a version of Abel's theorem (a consequence of the final value theorem for the Laplace transform). Therefore, ∫ 0 ∞ sin t t d t =
Dirichlet_integral
Matrix of second derivatives
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Hessian_matrix
Method of evaluating certain integrals along paths in the complex plane
contour are determined by its values along the contour. The inverse Laplace transform is defined by a complex contour integral known as the Bromwich integral:
Contour_integration
Technique in integral evaluation
Leibniz's notation for integrals and derivatives. The formula is used to transform one integral into another integral that is easier to compute. Thus, the
Integration_by_substitution
Theorem in mathematics
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Mean_value_theorem
Relation between pairs of arithmetic functions
the corresponding Dirichlet series: each repeated application of the transform corresponds to multiplication by the Riemann zeta function. A related
Möbius_inversion_formula
Formula in calculus
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Chain_rule
Differentiation under the integral sign formula
of integral transforms. An example of such is the moment generating function in probability theory, a variation of the Laplace transform, which can be
Leibniz_integral_rule
Integral transform
possibility of fractional calculus in 1832. The operator agrees with the Euler transform, after Leonhard Euler, when applied to analytic functions. It was generalized
Riemann–Liouville_integral
Circulation density in a vector field
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Curl_(mathematics)
Theorem in vector calculus
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Stokes'_theorem
Mathematical criterion about whether a series converges
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Convergence_tests
Branch of mathematical analysis
order 1/2. Fractional calculus was introduced in one of Niels Henrik Abel's early papers where all the elements can be found: the idea of fractional-order
Fractional_calculus
Relation between frequency- and time-domain behavior at large time
t ) {\displaystyle f(t)} in continuous time has (unilateral) Laplace transform F ( s ) {\displaystyle F(s)} , then a final value theorem establishes
Final_value_theorem
Type of derivative in mathematics
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Derivative (multivariable calculus)
Derivative_(multivariable_calculus)
Differential calculus on function spaces
quantity. In this case, this quantity is the Hamiltonian, the Legendre transform of the Lagrangian, which (often) coincides with the energy of the system
Calculus_of_variations
Operation in mathematical calculus
definite integrals; for instance, Parseval's identity can be used to transform an integral over a rectangular region into an infinite sum. Occasionally
Integral
On converting relations to functions of several real variables
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Implicit_function_theorem
Method of mathematical integration
This is important, for instance, in the study of Fourier series, Fourier transforms, and other topics. The Lebesgue integral describes better how and when
Lebesgue_integral
Instantaneous rate of change (mathematics)
S2CID 259885793 Debnath, Lokenath; Shah, Firdous Ahmad (2015), Wavelet Transforms and Their Applications (2nd ed.), Birkhäuser, doi:10.1007/978-0-8176-8418-1
Derivative
1914 opera by Felix Weingartner
Kain und Abel is a one-act opera by Austrian conductor and composer Felix Weingartner, who also wrote the libretto. The work was composed in the early
Kain_und_Abel
Derivative of a function with multiple variables
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Partial_derivative
1995 video game
man named Abel who must rescue his wife and child from hell. It is a 2D side scrolling game. Defeating bosses allows the player to transform into various
Majūō
Infinite series with alternating signs
, so the series is an example where a slightly stronger method, such as Abel summation, is required. The series 1 − 2 + 3 − 4 + ... is closely related
1_−_2_+_3_−_4_+_⋯
German-American economist (1910–2007)
Richard Abel Musgrave (14 December 1910 – 15 January 2007) was an American economist of German heritage. His most cited work is The Theory of Public Finance
Richard_Musgrave_(economist)
Theorem in mathematics
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Inverse_function_theorem
Lucihormetica luckae Semachrysa jade Juracimbrophlebia ginkgofolia 2012 Abel Prize: Endre Szemerédi 2012 Fundamental Physics Prize: Nima Arkani-Hamed
2012_in_science
Integrals not expressible in closed-form from elementary functions
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Nonelementary_integral
Relationship between derivatives and integrals
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Fundamental theorem of calculus
Fundamental_theorem_of_calculus
2018: Denis Barta (20-year-old blind and autistic singer) Season 7, 2019: Transform Crew (dancing troupe) Season 8, 2021: Anatacha Filimone (18-year-old singer)
List of reality television show franchises (A–G)
List_of_reality_television_show_franchises_(A–G)
Vector calculus formulas relating the bulk with the boundary of a region
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Green's_identities
Canadian rapper and singer (born 1986)
from the original on February 26, 2023. Retrieved April 2, 2023. Shifferaw, Abel (June 24, 2023). "Drake Announces New Album With Poetry Book". Complex. Retrieved
Drake_(musician)
Operator in fractional calculus
{\displaystyle f(t)} is equal to zero. Moreover, a form of the Laplace transform allows to simply evaluate the initial conditions by computing finite,
Differintegral
Study of rates of change
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Differential_calculus
Formula for the derivative of a ratio of functions
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Quotient_rule
Statement relating differentiable symmetries to conserved quantities
field themselves and changes in coordinates, since the transformed field αA depends on the transformed coordinates ξμ. To isolate the intrinsic changes, the
Noether's_theorem
Formula for the derivative of a product
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Product_rule
Vector operator in vector calculus
appears twice, here, once, so that the X a {\displaystyle X^{a}} can be transformed into "flat space" (where coordinates are actually orthonormal), and once
Divergence
Indian-American executive (born 1951)
as Berkshire appoints Abel and Jain to board as vice chairs". CNBC. Retrieved 2018-01-12. "The India-born banker who transformed Deutsche Bank is on his
Ajit_Jain
Mathematical approximation of a function
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Taylor_series
Method for partial-fraction expansion
482-489 Zill, Dennis G.; Wright, Warren S. (2013). "Chapter 7: The Laplace Transform". Differential Equations with Boundary-Value Problems (8th ed.). Brooks/Cole
Heaviside_cover-up_method
Course designed to prepare students for calculus
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Precalculus
Mathematical operation in calculus
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Implicit_differentiation
Infinite series that is not convergent
translated as "Divergent series are an invention of the devil …") — N. H. Abel, letter to Holmboe, January 1826, reprinted in volume 2 of his collected
Divergent_series
American multinational technology company
the original on January 6, 2022. Retrieved January 6, 2022. Ekene, Mfon Abel (August 6, 2024). "Google says it is obligated to disclose confidential information
laboratory of a mad scientist named Dr. Abel in his attempt to complete his project of forming a cyborg army. Abel thought that a perfect cyborg must have
Characters of the Tekken series
Characters_of_the_Tekken_series
Experimental velocity measurement technique
recovered from the two-dimensional projection by the use of the inverse Abel transform. The cylindrical axis is the axis containing the polarization direction
Photofragment-ion_imaging
Mathematical operation in calculus
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Logarithmic_derivative
Mathematical technique for simplification
polynomial equations are generally impossible to solve in terms of radicals (see Abel–Ruffini theorem). This particular equation, however, may be written ( x 3
Change_of_variables
Test for series convergence
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Dirichlet's_test
Summation method for some divergent series
Binomial transform Borel summation Cesàro summation Lambert summation Perron's formula Abelian and Tauberian theorems Abel–Plana formula Abel's summation
Euler_summation
German mathematician (1804–1851)
series. The solution of the Jacobi inversion problem for the hyperelliptic Abel map by Weierstrass in 1854 required the introduction of the hyperelliptic
Carl_Gustav_Jacob_Jacobi
Argentine footballer (born 1987)
155–156, 405–406. West, Andy (19 March 2015). "Motivated Lionel Messi Transforms Barcelona's Hopes for Trophy Treble". BBC Sport. Archived from the original
Lionel_Messi
(b. 1932) Blanquita Valenti, 87, politician (b. 1933/1934) March 10 Bruce Abel, 84, bass singer (b. 1936) Eugene Hughes, 86, academic administrator, president
2021 deaths in the United States (January–June)
2021_deaths_in_the_United_States_(January–June)
Mathematics award
survey conducted by IREG in 2013–14, the Fields Medal came closely after the Abel Prize as the second most prestigious international award in mathematics.
Fields_Medal
American film soundtrack label
the Tombstones – Carlos Rafael Rivera VSD-7298 Penny Dreadful: Season 1 – Abel Korzeniowski VSD-7299 Chuck – Tim Jones VSD-7303 The Loft – John Frizzell
Varèse Sarabande albums discography
Varèse_Sarabande_albums_discography
Howard Wang (English) Abel Walker (アベル・ウォーカー, Aberu Wōkā) is the prefect of Lang House and the leader of the Magia Lupus. Abel is a noble who believes
List_of_Mashle_characters
Theorem in calculus relating line and double integrals
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Green's_theorem
Events of California governorship since 2019
of San Francisco, defeated the Incumbent Republican lieutenant governor Abel Maldonado in the 2010 elections. Newsom started his four-year term as the
Governorship_of_Gavin_Newsom
Special function in the physical sciences
{Ai} (x)\int _{-\infty }^{x}\operatorname {Bi} (t)\,dt.\end{aligned}}} Abel's identity shows that the Wronskian W ( Ai , Bi ) {\displaystyle W(\operatorname
Airy_function
Generalized function whose value is zero everywhere except at zero
self-adjointness of the Fourier transform. By analytic continuation of the Fourier transform, the Laplace transform of the delta function is found to
Dirac_delta_function
inconsistently cooked and loaded with raw spices, while Arnold's entree didn't transform her ingredients enough.) 312 9 "Bizarre Battle" Marcus Samuelsson, Marc
List of Chopped episodes (seasons 21–40)
List_of_Chopped_episodes_(seasons_21–40)
Method for evaluating indefinite integrals
specialist in computer algebra who developed it in 1968. The algorithm transforms the problem of integration into a problem in algebra. It is based on the
Risch_algorithm
Indefinite integral
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Antiderivative
Mathematical term; type of polynomial transformation
Ehrenfried Walther von Tschirnhaus in 1683. Simply, it is a method for transforming a polynomial equation of degree n ≥ 2 {\displaystyle n\geq 2} with some
Tschirnhaus_transformation
Test for convergence of alternating series
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Alternating_series_test
Generalization of the product rule in calculus
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
General_Leibniz_rule
Mathematical operation
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Second_derivative
3D generalization of the Leibniz integral rule
Faà di Bruno's formula Reynolds Integral Lists of integrals Integral transform Leibniz integral rule Definitions Antiderivative Integral (improper) Riemann
Reynolds_transport_theorem
British politician (born 1970)
newstatesman.com. Retrieved 21 May 2025. "Burnham says 'Manchester-ism' can transform the whole of UK as he defends Makerfield by-election bid". itv.com. 18
Andy_Burnham
Fictional character from Sons of Anarchy
However, they also highlight how the birth of Abel and the discovery of his father's memoirs transformed him as a person. The Chicago Tribune remarked
Jax_Teller
of elementary and special functions, volume 4–5 are tables of Laplace transforms). More compact collections can be found in e.g. Brychkov, Marichev, Prudnikov's
Lists_of_integrals
ABEL TRANSFORM
ABEL TRANSFORM
Boy/Male
Indian
Healthy, Vanity, Breath, Breathing
Male
Hungarian
Hungarian form of Greek Habel, �BEL means "vanity," i.e. "transitory."
Biblical
a city; mourning,vanity; breath; transitoriness
Male
Scandinavian
Scandinavian form of Hebrew Abiyshalowm, AXEL means "father of peace."Â
Male
English
Breath
Female
German
German form of Greek Barbara, BÄRBEL means "foreign; strange."
Male
English
Variant spelling of English Abel, ABELL means "vanity," i.e. "transitory."
Boy/Male
Hebrew
Exhalation of breath. The second son of Adam in the bible. The variant Able is used as an English...
Boy/Male
Hebrew
Exhalation of breath. The second son of Adam in the bible. The variant Able is used as an English...
Male
Italian
Italian form of Hebrew Hebel, ABELE means "breath, breathing."
Male
English
Anglicized form of Hebrew Abiy'el, ABIEL means "El (God) is (my) father." In the bible, this is the name of Saul's grandfather.
Boy/Male
Biblical American Hebrew
Vanity, breath, vapor. Also a city, mourning'.
Male
English
 In the bible, this is the name of the second son of Adam and Eve who was killed by his jealous brother Cain. Anglicized form of Greek Habel, ABEL means "vanity," i.e. "transitory." Anglicized form of Hebrew Hebel, meaning "breath, breathing."
Boy/Male
American, Australian, British, Chinese, Christian, Danish, Dutch, English, Finnish, French, German, Hawaiian, Hebrew, Indian, Irish, Norwegian, Polish, Portuguese, Romanian, Swedish
Breath; Highborn and Steadfast; Child; Breathing Spirit; Son; Vapour
Biblical
mourning to the house of Maachah,meadow of the house of Maachah,also called ABEL-MAIM
Male
English
Variant spelling of English Abel, ABLE means "vanity," i.e. "transitory."
Surname or Lastname
English
English : variant spelling of Abel. Probably also an Americanized spelling of the same surname in other languages.
Female
English
Medieval short form of English Amabel, MABEL means "lovable."Â
Male
African
breath, vapor; transitoriness.
Male
Hebrew
Variant spelling of Hebrew Abie, ABEY means "father of a multitude."
ABEL TRANSFORM
ABEL TRANSFORM
Surname or Lastname
English
English : variant of Brookins.
Girl/Female
Australian, British, English, Hebrew, Indian, Telugu
Song of My Soul; Bright Meadow; Tune; Melody; Poetry; Song
Girl/Female
Muslim
Lily of the valley
Girl/Female
Tamil
Nature, Behavior
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Sikh
Family Deity
Boy/Male
Hindu, Indian, Marathi
Son of Lord Shiva
Boy/Male
Arabic African
Much praised. One of many names of the prophet Muhammad.
Boy/Male
Indian, Sanskrit
Eternal
Boy/Male
Christian & English(British/American/Australian)
Hill Dweller
Boy/Male
Indian
Light
ABEL TRANSFORM
ABEL TRANSFORM
ABEL TRANSFORM
ABEL TRANSFORM
ABEL TRANSFORM
a.
To make able; to enable; to strengthen.
v. t.
To affix a label to; to mark with a name, etc.; as, to label a bottle or a package.
p. pr. & vb. n.
of Abet
a.
Able to speak.
v. t.
To affix in or on a label.
imp. & p. p.
of Abet
p. pr. & vb. n.
of Label
a.
Able to digest.
superl.
Specially: Having intellectual qualifications, or strong mental powers; showing ability or skill; talented; clever; powerful; as, the ablest man in the senate; an able speech.
imp. & p. p.
of Label
a.
Able to sway.
superl.
Legally qualified; possessed of legal competence; as, able to inherit or devise property.
v. t.
To instigate or encourage by aid or countenance; -- used in a bad sense of persons and acts; as, to abet an ill-doer; to abet one in his wicked courses; to abet vice; to abet an insurrection.
superl.
Having sufficient power, strength, force, skill, means, or resources of any kind to accomplish the object; possessed of qualifications rendering competent for some end; competent; qualified; capable; as, an able workman, soldier, seaman, a man able to work; a mind able to reason; a person able to be generous; able to endure pain; able to play on a piano.
adv.
To childbed (in the phrase "brought abed," that is, delivered of a child).
n.
A slip of silk, paper, parchment, etc., affixed to anything, usually by an inscription, the contents, ownership, destination, etc.; as, the label of a bottle or a package.