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Integral transform and linear operator
In mathematics and signal processing, the Hilbert transform is a specific singular integral that takes a function, u(t) of a real variable and produces
Hilbert_transform
Signal analysis tool
The Hilbert–Huang transform (HHT) is a way to decompose a signal into so-called intrinsic mode functions (IMF) along with a trend, and obtain instantaneous
Hilbert–Huang_transform
Mathematical function
{\displaystyle x=0,} F ( x ) = 0. {\displaystyle F(x)=0.} ) The Hilbert transform of the Gaussian is defined as H ( y ) = π − 1 P . V . ∫ − ∞ ∞ e
Dawson_function
Non-self-adjoint compact operator used to solve boundary value problems for the Laplacian
related to complex function theory, the conjugate Beurling transform or complex Hilbert transform and the Fredholm eigenvalues of bounded planar domains.
Neumann–Poincaré_operator
Theorem on operator interpolation
the Plancherel theorem that the Hilbert transform maps L2(R) boundedly into itself. Nevertheless, the Hilbert transform is not bounded on L1(R) or L∞(R)
Riesz–Thorin_theorem
analysis. The two main singular integral operators, the Hilbert transform and the Cauchy transform, can be defined for any smooth Jordan curve in the complex
Singular integral operators on closed curves
Singular_integral_operators_on_closed_curves
Number, approximately 3.14
and hence the Hilbert transform are associated with the asymptotics of the Poisson kernel. The Hilbert transform H is the integral transform given by the
Pi
The number theoretic Hilbert transform is an extension of the discrete Hilbert transform to integers modulo a prime p {\displaystyle p} . The transformation
Number theoretic Hilbert transform
Number_theoretic_Hilbert_transform
Mathematical concept
the circle, the Hilbert transform on the circle and the real line, the Beurling transform in the complex plane and the Riesz transforms in Euclidean space
Singular integral operators of convolution type
Singular_integral_operators_of_convolution_type
by David Hilbert with the constant 2π instead of π; the sharp constant was found by Issai Schur. It implies that the discrete Hilbert transform is a bounded
Hilbert's_inequality
Functions in harmonic analysis mathematics
L^{p}(\mathbb {R} ^{n})} . The archetypal singular integral operator is the Hilbert transform H {\displaystyle H} . It is given by convolution against the kernel
Singular_integral
Particular representation of a signal
the Hilbert transform. The analytic representation of a real-valued function is an analytic signal, comprising the original function and its Hilbert transform
Analytic_signal
Area of mathematical analysis
are often finer than the Hilbert-space methods that suffice for many basic questions in Fourier analysis. The Fourier transform remains a fundamental tool
Harmonic_analysis
Mathematical problems related to differential equations
In mathematics, Riemann–Hilbert problems, named after Bernhard Riemann and David Hilbert, are a class of problems that arise in the study of differential
Riemann–Hilbert_problem
Type of singular integral operator
mathematical theory of harmonic analysis, the Riesz transforms are a family of generalizations of the Hilbert transform to Euclidean spaces of dimension d > 1. They
Riesz_transform
Mathematical operation
transform is a homography used in real analysis, complex analysis, and quaternionic analysis. In the theory of Hilbert spaces, the Cayley transform is
Cayley_transform
Process in geometric function theory
using a variety of techniques, including the Beltrami equation, the Hilbert transform on the circle and elementary approximation techniques. Sharon & Mumford
Conformal_welding
Correlators of field operators
k , x ) {\displaystyle \rho (\mathbf {k} ,x)} is referred to as a Hilbert transform. We demonstrate the proof of the spectral representation of the propagator
Green's function (many-body theory)
Green's_function_(many-body_theory)
Mathematical transform that expresses a function of time as a function of frequency
one-dimensional. This means the Fourier transform on a non-abelian group takes values as Hilbert space operators. The Fourier transform on compact groups is a major
Fourier_transform
Hankel transform Hartley transform Hermite transform Hilbert transform Hilbert–Schmidt integral operator Jacobi transform Laguerre transform Laplace
List_of_transforms
Statistical tool used in distinguishing among a mixture of moving signals
the Hilbert transform to the results of the above step to obtain the instantaneous frequency spectrum of each of the components. The Hilbert transform defines
Hilbert_spectrum
Discrete Fourier transform algorithm
the short-time Fourier transform, discrete wavelet transforms, or discrete Hilbert transform can be more suitable. These transforms allow for localized frequency
Fast_Fourier_transform
Opposition that a system presents to an acoustic pressure
Z(t), R(t) is the time domain acoustic resistance and X(t) is the Hilbert transform of the time domain acoustic resistance R(t), according to the definition
Acoustic_impedance
Hungarian mathematician (1866–1942)
the "Hilbert transform", as it is now called, anticipating with his contribution the works of Hilbert and Hardy in such a way that the transform should
Alfred_Tauber
Type of vector space in math
The mathematical concept of a Hilbert space generalizes the notion of Euclidean space. It extends the methods of Euclidean geometry and calculus from
Hilbert_space
Electronic method of transmitting information with a carrier wave
(real-valued), s ^ ( t ) {\displaystyle {\widehat {s}}(t)\,} is its Hilbert transform, and f 0 {\displaystyle f_{0}\,} is the radio carrier frequency. To
Single-sideband_modulation
German mathematician (1862–1943)
Hilbert ring Hilbert–Poincaré series Hilbert series and Hilbert polynomial Hilbert space Hilbert spectrum Hilbert system Hilbert transform Hilbert's arithmetic
David_Hilbert
Hilbert spectral analysis is a signal analysis method applying the Hilbert transform to compute the instantaneous frequency of signals according to ω =
Hilbert_spectral_analysis
of the Fourier Transform. Taking the Hilbert transform of the above equation yields this relation between "H" and its Hilbert transform: H ^ ( ω ) = i
Causal_filter
Type of mathematical relation
these relations are known by the names Sokhotski–Plemelj theorem and Hilbert transform. Let χ ( ω ) = χ 1 ( ω ) + i χ 2 ( ω ) {\displaystyle \chi (\omega
Kramers–Kronig_relations
Type of operator in Fourier analysis
operators, although there are many more complicated examples such as the Hilbert transform. In signal processing, a multiplier operator is called a "filter"
Multiplier_(Fourier_analysis)
Matrix used in complex analysis
0}|b_{n}(w)|^{2}\leq (1-|w|^{2})^{-1}.} The Beurling transform (also called the Beurling-Ahlfors transform and the Hilbert transform in the complex plane) provides one
Grunsky_matrix
Method for assigning values to integrals
Principal value integrals play a central role in the discussion of Hilbert transforms. Let C c ∞ ( R ) {\displaystyle {C_{c}^{\infty }}(\mathbb {R} )} be
Cauchy_principal_value
Integral transform in mathematics
even}}\end{cases}}} where H s {\displaystyle {\mathcal {H}}_{s}} is the Hilbert transform with respect to the s variable. In two dimensions, the operator H
Radon_transform
space Hilbert spectrum Hilbert symbol Hilbert system Hilbert transform Hilbert spectroscopy Hilbert–Huang transform Hilbert spectral analysis Hilbert-style
List of things named after David Hilbert
List_of_things_named_after_David_Hilbert
Australian and American mathematician (born 1975)
Lacey, Michael; Thiele, Christoph. Lp estimates on the bilinear Hilbert transform for 2<p<∞. Ann. of Math. (2) 146 (1997), no. 3, 693–724. Lacey, Michael;
Terence_Tao
In control theory, when an LTI system and its inverse are causal and stable
symmetric/antisymmetric decomposition as another important example, leading e.g. to Hilbert transform techniques.) Many physical systems also naturally tend towards minimum-phase
Minimum_phase
Mathematical theory by discovered by Józef Marcinkiewicz
is the Hilbert transform. Viewed as a multiplier, the Hilbert transform of a function f can be computed by first taking the Fourier transform of f, then
Marcinkiewicz interpolation theorem
Marcinkiewicz_interpolation_theorem
required that the real part of the wavelet and the imaginary part are Hilbert transform pairs for the wavelet to be analytical and to exhibit shift invariance
Wavelet for multidimensional signals analysis
Wavelet_for_multidimensional_signals_analysis
German mathematician
He is famous for work (joint with Michael Lacey) on the bilinear Hilbert transform and for giving a simplified proof of Carleson's theorem; the techniques
Christoph_Thiele
Method for solving certain nonlinear partial differential equations
"nonlocal" Riemann–Hilbert factorization problem (with convolution instead of multiplication) or a d-bar problem. The inverse scattering transform arose from
Inverse_scattering_transform
Electrical engineering concept
\end{aligned}}} where s ^ ( t ) {\displaystyle {\hat {s}}(t)} represents the Hilbert transform of s(t). When φ(t) is constrained to its principal value, either the
Instantaneous phase and frequency
Instantaneous_phase_and_frequency
Mapping involving integration between function spaces
In mathematics, an integral transform is a type of transformation that maps a function from its original function space into another function space via
Integral_transform
Real-valued function
f=f_{1}+Hf_{2}+\alpha } where fi ∈ L∞, α is a constant and H is the Hilbert transform. The BMO norm is then equivalent to the infimum of ‖ f 1 ‖ ∞ + ‖ f
Bounded_mean_oscillation
Adages and sayings named after a person
for Rod Beckstrom. Bedrosian's theorem in signal processing: the Hilbert transform of the product of a low-pass and a high-pass signal with non-overlapping
List_of_eponymous_laws
H u x x = 0 {\displaystyle u_{t}+uu_{x}+Hu_{xx}=0} where H is the Hilbert transform. It possesses infinitely many conserved densities and symmetries;
Benjamin–Ono_equation
Special arrangement of permanent magnets
mathematical transform that shifts the phase of all components of some function by π / 2 {\displaystyle \pi /2} is called a Hilbert transform; the components
Halbach_array
Theorem in mathematics
obtained by directly sampling the DTFT of the infinitely long § Discrete Hilbert transform impulse response. For u {\displaystyle u} and v {\displaystyle v}
Convolution_theorem
Nonlocal mathematical operator
bounded for all y ≥ 0 {\displaystyle y\geq 0} . In dimension one, the Hilbert transform H {\displaystyle {\mathcal {H}}} satisfies the identity ( − Δ ) 1
Fractional_Laplacian
Hilbert Spectroscopy uses Hilbert transforms to analyze broad spectrum signals from gigahertz to terahertz frequency radio. One suggested use is to quickly
Hilbert_spectroscopy
Method to control electric motors
Extended Kalman filter Filter (signal processing) Frequency response Hilbert transform Impulse response Linear time-invariant system Kalman filter Robust
Field-oriented_control
Function spaces generalizing finite-dimensional p norm spaces
if p > 2 , {\displaystyle p>2,} the Fourier transform does not map into L q . {\displaystyle L^{q}.} Hilbert spaces are central to many applications, from
Lp_space
Type of sideband modulation
approximation errors of the practical implementation of the required Hilbert transform. It was recently shown that suitable overshoot compensation (so-called
Controlled-envelope single-sideband modulation
Controlled-envelope_single-sideband_modulation
Summability method used in harmonic analysis
a consequence of the L p {\displaystyle L^{p}} boundedness of the Hilbert transform and an argument of Marcel Riesz. Define δ ( p ) {\displaystyle \delta
Bochner–Riesz_mean
Application for interactive graphing and analysis of scientific data
Origin and able to import Origin's data files. Features include the Hilbert transform function, statistics, color maps, conditional formatting, plot digitization
LabPlot
Mathematical technique in spectroscopic analysis
simultaneously. Because of its computational efficiency and simplicity, the Hilbert transform is nowadays used for the calculation of the 2D spectra. To date, 2D
Two-dimensional correlation analysis
Two-dimensional_correlation_analysis
Fourier analysis technique applied to sequences
In mathematics, the discrete-time Fourier transform (DTFT) is a form of Fourier analysis that is applicable to a sequence of discrete values. The DTFT
Discrete-time Fourier transform
Discrete-time_Fourier_transform
Construction for adding objects to a Hilbert space
physics, a rigged Hilbert space (Gelfand triple, nested Hilbert space, equipped Hilbert space) is a construction which can enlarge a Hilbert space to a bigger
Rigged_Hilbert_space
Variation in the time intervals between heartbeats
'instantaneous Amplitude' has been introduced, which is based on the Hilbert transform of the RR data. A newly used HRV index,[citation needed] which depends
Heart_rate_variability
Mathematical technique used in data compression and analysis
define a Hilbert basis, that is, a complete orthonormal system for the Hilbert space of square-integrable functions on the real line. The Hilbert basis is
Wavelet_transform
English mathematician and philosopher (1815–1864)
Generalisations of this identity play an important role in the theory of the Hilbert transform. In 1847, Boole published the pamphlet Mathematical Analysis of Logic
George_Boole
American mathematician (1915–1994)
PMC 1078923. PMID 16578206. Loomis, Lynn H. (1946). "A note on the Hilbert transform". Bull. Amer. Math. Soc. 52 (12): 1082–1086. doi:10.1090/s0002-9904-1946-08713-3
Lynn_Harold_Loomis
conclude that the Hilbert transform is a continuous linear operator in L 2 {\displaystyle L^{2}} without using the Fourier transform. A more general version
Cotlar–Stein_lemma
theorem Bromwich integral Morera's theorem Mellin transform Kramers–Kronig relation, a. k. a. Hilbert transform Sokhotski–Plemelj theorem Exponential function
List of complex analysis topics
List_of_complex_analysis_topics
Process in electronics and telecommunications
analytical functions/signals. To understand this completely, one needs the Hilbert transform, which induces a direction by the convolution with the Cauchy Kernel
Pulse_shaping
Computational tool
a consequence of the boundedness on the space Lp([0, 2π]) of the Hilbert transform on the circle. It follows from this boundedness that the projections
Schauder_basis
Signal processing filter
Bridged T delay equaliser Lattice phase equaliser Minimum phase Hilbert transform High-pass filter Low-pass filter Band-stop filter Band-pass filter
All-pass_filter
Argentine mathematician
analysis, particularly harmonic analysis on Euclidean space, the Hilbert transform, and other topics related to scattering and lifting techniques. "An
Cora_Sadosky
Smooth curve outlining the extremes of an oscillating signal
digital signal processing, the envelope may be estimated employing the Hilbert transform or a moving RMS amplitude. Analytic signal § Complex envelope/baseband
Envelope_(waves)
Mathematical operation
and final addition. Convolution theorem Circulant matrix Discrete Hilbert transform McGillem and Cooper, p 172 (4-6) McGillem and Cooper, p 183 (4-51)
Circular_convolution
Complex analysis theorem
the unit circle and a closed Jordan curve) Kramers–Kronig relations Hilbert transform Kress, Rainer (2012). Linear Integral Equations. Springer Science
Sokhotski–Plemelj_theorem
Material science measurement method
accordance to the Kramers–Kronig relations which states that n(E) is the Hilbert transform of k(E). The Forouhi–Bloomer dispersion equations for n(E) and k(E)
Refractive index and extinction coefficient of thin film materials
Refractive_index_and_extinction_coefficient_of_thin_film_materials
example is the Empirical mode decomposition method using Hilbert transform instead of Fourier Transform for nonlinear multi-dimensional systems. This method
Non-linear multi-dimensional signal processing
Non-linear_multi-dimensional_signal_processing
Electronic method of transmitting information with a carrier wave
implementations, the demodulation may be carried out by using the Hilbert transform (implemented as a filter) to recover the instantaneous phase, and
Frequency_modulation
Mathematical transformation
) Orthogonal polynomials Secondary polynomials Secondary measure Hilbert transform Colbrook, Matthew J. (2021). "Computing Spectral Measures and Spectral
Stieltjes_transformation
Estimate object properties from a finite number of projections
g_{\theta }(x\cos \theta +y\sin \theta )} is the derivative of the Hilbert transform of p θ ( r ) {\displaystyle p_{\theta }(r)} In theory, the inverse
Tomographic_reconstruction
Electrocardiogram waveform representing ventricular contraction in the heart
is the Pan-Tompkins algorithm (or method); another is based on the Hilbert transform. Numerous other algorithms have been proposed and investigated. In
QRS_complex
Overview of and topical guide to electrical engineering
Fourier transform (FFT) Discrete sine transform Fourier transform Hilbert transform Laplace transform, Two-sided Laplace transform Z-transform Actuator
Outline of electrical engineering
Outline_of_electrical_engineering
which is typically [citation needed] implemented with a discrete Hilbert transform. Several measurements are made and displayed using these signal components
Vector_signal_analyzer
Mathematical concept
Springer-Verlag, ISBN 0-387-95218-7. King, Frederick W. (2009), Hilbert Transforms Vol. I, Cambridge University Press, ISBN 978-0-521-88762-5. Stein
Poisson_kernel
British mathematician
theorem Titchmarsh convolution theorem Titchmarsh theorem (on the Hilbert transform) Titchmarsh–Kodaira formula Awards De Morgan Medal (1953) Sylvester
Edward_Charles_Titchmarsh
Topics referred to by the same term
Hp function in the upper half-plane with the Hilbert transform of an Lp function. See Hilbert transform#Titchmarsh's theorem. This disambiguation page
Titchmarsh_theorem
Elapsed fraction of a cycle of a periodic function
phase relationship in different regions of its domain of definition Hilbert transform, a method of changing phase by 90° Reflection phase shift, a phase
Phase_(waves)
American mathematician
tenure of this fellowship he began a study of the bilinear Hilbert transform. This transform was at the time the subject of a conjecture by Alberto Calderón
Michael_Lacey_(mathematician)
for dispersion, we can introduce the Kramer-Krönig relation by a Hilbert transform H of the attenuation a(w): K ( i w ) = H ( a ( w ) ) + i a ( w ) (
Dispersive_body_waves
Concept in general relativity
The Einstein–Hilbert action in general relativity yields the Einstein field equations through the principle of stationary action. With the ( − , + , +
Einstein–Hilbert_action
Measurement of a signal at discrete time intervals
When one waveform, s ^ ( t ) {\displaystyle {\hat {s}}(t)} , is the Hilbert transform of the other waveform, s ( t ) {\displaystyle s(t)} , the complex-valued
Sampling_(signal_processing)
Type o integral transform in mathematics
In mathematics, a Hilbert–Schmidt integral operator is a type of integral transform. Specifically, given a domain Ω in Rn, any k : Ω × Ω → C such that
Hilbert–Schmidt integral operator
Hilbert–Schmidt_integral_operator
Concept in mathematics
constants). This is well known in applications as (essentially) the Hilbert transform; it is also a basic example in mathematical analysis, in connection
Harmonic_conjugate
Mathematical operation
Mellin transform is an integral transform that may be regarded as the multiplicative version of the two-sided Laplace transform. This integral transform is
Mellin_transform
Topics referred to by the same term
NHT Loudspeakers, an American electronics company Number theoretic Hilbert transform Ometepec Náhuatl language RAF Northolt, a Royal Air Force station
NHT
Sound frequency changes responsible for perceptions of loudness, pitch and timbre
convenient way to separate an existing sound into ENV and TFS, namely the Hilbert transform. There is a risk that this view of auditory processing is dominated
Temporal envelope and fine structure
Temporal_envelope_and_fine_structure
Hungarian mathematician
theorem). Later, he devised an interpolation theorem to show that the Hilbert transform is a bounded operator in Lp (1 < p < ∞). The generalisation of the
Marcel_Riesz
In functional analysis, a Hilbert space
kernel Hilbert space (RKHS) is a Hilbert space of functions in which point evaluation is a continuous linear functional. Specifically, a Hilbert space
Reproducing kernel Hilbert space
Reproducing_kernel_Hilbert_space
{R} ^{n}}} is a natural generalization to euclidean space of the Hilbert transform. Suppose U′ is a domain in Rn−1 and g(x) is a Cln(C) valued real analytic
Clifford_analysis
u_{xx}+{\mathcal {H}}(u_{x}),} where H {\displaystyle {\mathcal {H}}} is the Hilbert transform. This is essentially the Burgers' equation with an additional non-local
Michelson–Sivashinsky equation
Michelson–Sivashinsky_equation
reconstructible from its zero crossings if: The signal x(t) and its Hilbert transform xt have no zeros in common with each other. The frequency-domain representation
Reconstruction from zero crossings
Reconstruction_from_zero_crossings
Israeli mathematician and computer scientist (1934–2026)
algorithms, Communication networks, Natural language processing Thesis Hilbert Transforms On a Half Line and Mixed Elliptic Boundary Problems in the Plane (1963)
Eli_Shamir
Concept within complex analysis
operator H on Lp(T), when 1 < p < ∞ (up to a scalar multiple, it is the Hilbert transform on the unit circle), and H also maps L1(T) to weak-L1(T). When 1 ≤
Hardy_space
is the local or instantaneous phase as can be calculated using the Hilbert transform and A n {\displaystyle A_{\rm {n}}} are the local amplitude, or energy
Phase_congruency
HILBERT TRANSFORM
HILBERT TRANSFORM
Surname or Lastname
English
English : variant spelling of Hulbert.
Male
French
Variant spelling of French Philibert, PHILBERT means "very bright."
Surname or Lastname
English and German
English and German : from a Germanic personal name, Holbert, Hulbert, composed of the elements hold, huld ‘friendly’, ‘gracious’ + berht ‘bright’, ‘famous’.German (Hülbert) : topographic name for someone living by a pool or small pond, from Old High German huliwa ‘pool’.
Male
French
Norman French form of German Hilbert, ILBERT means "battle-bright."
Male
German
Contracted form of German Hildebert, HILBERT means "battle-bright."
Surname or Lastname
English
English : variant of Hilbert.
Male
English
Probably a Middle English form of Anglo-Saxon Æðelbert, DELBERT means "bright nobility."
Boy/Male
English
Son of Gilbert.
Male
Scottish
Variant spelling of Scottish Gaelic Ailbeart, AILBERT means "bright nobility."
Male
Scottish
Scottish Gaelic form of English Albert, AILBEART means "bright nobility."
Male
English
English form of Latin Filbertus, FILBERT means "very bright."
Male
French
French form of German Filabert, FULBERT means "very bright."Â
Surname or Lastname
English
English : variant of Hilburn.
Surname or Lastname
English
English : variant of Hilbert.
Male
English
English form of Old French Gilebert, GILBERT means "pledge-bright."Â
Surname or Lastname
English, northern Irish, and Scottish
English, northern Irish, and Scottish : variant of Colbert.
Male
English
Variant spelling of English Delbert, DILBERT means "bright nobility."
Male
French
French form of German Filabert, FILIBERT means "very bright."
Boy/Male
English
Introduced to Britain during the Norman conquest, from the Old German Filibert, meaning very bright.
Female
Spanish
Feminine form of Spanish Gilberto, GILBERTA means "pledge-bright."
HILBERT TRANSFORM
HILBERT TRANSFORM
Boy/Male
Hindu
Lord Krishna
Boy/Male
Bengali, Hindu, Indian, Kannada, Tamil
Golden Crown
Girl/Female
American, Anglo, British, English, Finnish
Queen
Boy/Male
Hindu
Loveliness
Male
French
French form of Latin Clement, CLÉMENT means "gentle and merciful."
Girl/Female
Arabic, Muslim, Sindhi
Very Rare; Exclusive
Boy/Male
African, Arabic, Australian, Muslim, Swahili
Call to Prayer
Girl/Female
Tamil
A creeper with flowers
Surname or Lastname
English and Scottish (of Norman origin)
English and Scottish (of Norman origin) : habitational name from a place named as having been the site of a battle, from Old French bataille ‘battle’. In some cases, this may be Battle in Sussex, site of the Battle of Hastings,A John Battle from Yorkshire, England, settled in 1654 on the Nansemond, a stream in VA. His descendants became prominent in NC and GA.
Girl/Female
American, Australian, Chinese, Danish, Dutch, French, German, Hebrew, Swiss
Like the Lord; Feminine of Michael
HILBERT TRANSFORM
HILBERT TRANSFORM
HILBERT TRANSFORM
HILBERT TRANSFORM
HILBERT TRANSFORM
n.
One who is armed with a halberd.
n.
An ancient long-handled weapon, of which the head had a point and several long, sharp edges, curved or straight, and sometimes additional points. The heads were sometimes of very elaborate form.
a.
Having fruit inclosed within a covering that does not form a part of itself; as, the filbert covered by its husk, or the acorn seated in its cupule.
n.
A cuplet or little cup, as of the acorn; the husk or bur of the filbert, chestnut, etc.
a.
Hastate.
a.
In the form of four unhusked filberts; as, an avellane cross.
n.
A sieve of filberts, -- about fifty pounds.
n.
An Anglo-Saxon battle-ax, or halberd.
n.
A shrub or small tree of the genus Corylus, as the C. avellana, bearing a nut containing a kernel of a mild, farinaceous taste; the filbert. The American species are C. Americana, which produces the common hazelnut, and C. rostrata. See Filbert.
n.
The doctrine that the existence of a personal Deity, an unseen world, etc., can be neither proved nor disproved, because of the necessary limits of the human mind (as sometimes charged upon Hamilton and Mansel), or because of the insufficiency of the evidence furnished by physical and physical data, to warrant a positive conclusion (as taught by the school of Herbert Spencer); -- opposed alike dogmatic skepticism and to dogmatic theism.
n.
Shaped like the head of a halberd; triangular, with the basal angles or lobes spreading; as, a hastate leaf.
n.
The fruit of the Corylus Avellana or hazel. It is an oval nut, containing a kernel that has a mild, farinaceous, oily taste, agreeable to the palate.
a.
Of or pertaining to Micronesia, a collective designation of the islands in the western part of the Pacific Ocean, embracing the Marshall and Gilbert groups, the Ladrones, the Carolines, etc.
a.
A broadsword fixed on a pike; a kind of halberd.
n.
A kind of halberd or pike; also, a truncheon; a staff.
a.
Having power, or a tendency, to transform.
n.
A kind of half-pike, or halberd, formerly borne by inferior officers of the British infantry, and used in giving signals to the soldiers.
n.
The fruit of certain trees and shrubs (as of the almond, walnut, hickory, beech, filbert, etc.), consisting of a hard and indehiscent shell inclosing a kernel.
n.
One who, or that which, transforms. Specif. (Elec.), an apparatus for producing from a given electrical current another current of different voltage.