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Type of topological space
spaces can be embedded in the Hilbert cube; that is, can be viewed as subspaces of the Hilbert cube (see below). The Hilbert cube is best defined as the topological
Hilbert_cube
Concept in topology
countable open set. Every Polish space is homeomorphic to a Gδ-subset of the Hilbert cube (that is, of IN, where I is the unit interval and N is the set of natural
Polish_space
German mathematician (1862–1943)
David Hilbert Foundations of geometry Hilbert C*-module Hilbert cube Hilbert curve Hilbert matrix Hilbert metric Hilbert–Mumford criterion Hilbert number
David_Hilbert
Continuous, position-preserving mapping from a topological space into a subspace
theorem implies that every Hilbert cube manifold as well as the (rather different, for example not locally compact) Hilbert manifolds and Banach manifolds
Retraction_(topology)
Convex polytope, the n-dimensional analogue of a square and a cube
geometry, a hypercube is an n-dimensional analogue of a square (n = 2) and a cube (n = 3); the special case for n = 4 is known as a tesseract. It is a closed
Hypercube
Mathematical folklore
in specific contexts. These include locally compact spaces like the Hilbert cube, which is compact, or scenarios where some typical properties of finite-dimensional
Infinite-dimensional Lebesgue measure
Infinite-dimensional_Lebesgue_measure
Solid with six equal square faces
parallelepiped, including a cube, can achieve a honeycomb if its Dehn invariant is zero. The Dehn invariant's inception dates back to Hilbert's third problem, whether
Cube
Concept in functional analysis
homeomorphic to a Hilbert cube. Compact space – Type of mathematical space General linear group – Group of 𝑛 × 𝑛 invertible matrices Cube "The Banach–Mazur
Banach–Mazur_compactum
Type of topological space in mathematics
the Hilbert cube as an example of a compact space; there is no contradiction because the cube cannot be a neighbourhood of any point in Hilbert space
Locally_compact_space
American mathematician
topology. Much of his early work focused on proofs surrounding Hilbert space and Hilbert cubes. Richard Anderson and his twin brother, John, were born February
Richard_Davis_Anderson
Subfield of mathematical logic
space is homeomorphic to a Gδ subspace of the Hilbert cube, and every Gδ subspace of the Hilbert cube is Polish. Every Polish space is obtained as a
Descriptive_set_theory
Einstein–Hilbert equations Hilbert algebra Hilbert C*-module Hilbert basis (linear programming) Hilbert class field Hilbert cube Hilbert curve Hilbert curve
List of things named after David Hilbert
List_of_things_named_after_David_Hilbert
Topological continuum undefinable as the union of any two proper subcontinua
nonempty compact connected metric space. The arc, the n-sphere, and the Hilbert cube are examples of path-connected continua; the topologist's sine curve
Indecomposable_continuum
Nonempty compact connected metric space
that is not contractible, and therefore different from an n-cell. The Hilbert cube is an infinite-dimensional continuum. Solenoids are among the simplest
Continuum_(topology)
Type of mathematical space
commutative unital Banach algebra is a compact Hausdorff space. The Hilbert cube is compact, again a consequence of Tychonoff's theorem. A profinite group
Compact_space
Extended real number line Finite topological space Hawaiian earring Hilbert cube Irrational cable on a torus Lakes of Wada Long line Order topology
List of examples in general topology
List_of_examples_in_general_topology
Closed interval [0,1] on the real number line
compact, contractible, path connected and locally path connected. The Hilbert cube is obtained by taking a topological product of countably many copies
Unit_interval
Generalization of a rectangle for higher dimensions
selections in all pairs of axes are rhombi. Minimum bounding rectangle Cuboid Hilbert cube N.W. Johnson: Geometries and Transformations, (2018) ISBN 978-1-107-10340-5
Hyperrectangle
Topological space with a dense countable subset
metrizable. Every separable metric space is homeomorphic to a subset of the Hilbert cube. This is established in the proof of the Urysohn metrization theorem
Separable_space
Cantor cube Space-filling curve Topologist's sine curve Tychonoff plank Comb space Uniform norm Weak topology Strong topology Hilbert cube Lower limit
List of general topology topics
List_of_general_topology_topics
Book by Lynn Steen
compactification topology One point compactification of the rationals Hilbert space Fréchet space Hilbert cube Order topology Open ordinal space [0,Γ) where Γ<Ω Closed
Counterexamples_in_Topology
Topological space that is homeomorphic to a metric space
characterized as those spaces which are homeomorphic to a subspace of the Hilbert cube [ 0 , 1 ] N , {\displaystyle \lbrack 0,1\rbrack ^{\mathbb {N} },} that
Metrizable_space
Concept in General Topology
the continuum hypothesis is true The following example is based on the Hilbert cube. Let Rω denote the countable cartesian product of R with itself, i.e
Box_topology
Group whose operation is a composition of braids
groups P n {\displaystyle P_{n}} and to the fundamental group of the Hilbert cube minus the set { ( x i ) i ∈ N ∣ x i = x j for some i ≠ j } . {\displaystyle
Braid_group
List of concrete topologies and topological spaces
of the exclusion of a particular point. Fort space Half-disk topology Hilbert cube − [ 0 , 1 / 1 ] × [ 0 , 1 / 2 ] × [ 0 , 1 / 3 ] × ⋯ {\displaystyle [0
List_of_topologies
Mathematical problem in number theory
not necessarily positive cubes Waring–Goldbach problem, the problem of representing numbers as sums of powers of primes Hilbert, David (1909). "Beweis für
Waring's_problem
{\displaystyle I_{s}=I} . The Hilbert cube, I ℵ 0 {\displaystyle I^{\aleph _{0}}} , is a special case of a Tychonoff cube. The axiom of choice is assumed
Tychonoff_cube
Number raised to the third power
and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number n is denoted
Cube_(algebra)
Natural basic set in product spaces
the resulting topology is the box topology; cylinder sets are never Hilbert cubes. Let S = { 1 , 2 , … , n } {\displaystyle S=\{1,2,\ldots ,n\}} be a
Cylinder_set
Infinite-dimensional topology See Hilbert manifold and Q-manifolds, i.e. (generalized) manifolds modelled on the Hilbert space and on the Hilbert cube respectively. Inner
Glossary_of_general_topology
Japanese economist (born 1943)
Fujita, Masahisa (2008). "Knowledge Creation As A Square Dance On The Hilbert Cube". International Economic Review. 49 (4): 1251–1295. CiteSeerX 10.1.1
Masahisa_Fujita
systems, respectively, are the following: If A is a closed subspace of the Hilbert cube X=Q the externology εA=ε(Q,A) is a resolution of A in the sense of the
Exterior_space
Tsukamoto, Masaki (2020-07-01). "Embedding minimal dynamical systems into Hilbert cubes". Inventiones Mathematicae. 221 (1): 113–166. arXiv:1511.01802. Bibcode:2020InMat
Universal_space
On dissections between polyhedra
The third of Hilbert's problems presented in 1900 was the first to be solved. The problem asks the following: Given any two polyhedra of equal volume
Hilbert's_third_problem
Property of a mathematical space
Euclidean space is a two-dimensional space on the plane. The inside of a cube, a cylinder or a sphere is three-dimensional (3D) because three coordinates
Dimension
Geometric space with four dimensions
possible regular 4D objects, the tesseract, which is analogous to the 3D cube. The idea of making time the fourth dimension began with Jean le Rond d'Alembert's
Four-dimensional_space
Result in number theory, concerning irreducible polynomials
In number theory, Hilbert's irreducibility theorem, conceived by David Hilbert in 1892, states that every finite set of irreducible polynomials in a finite
Hilbert's irreducibility theorem
Hilbert's_irreducibility_theorem
Method of drawing geometric objects
side of a cube whose volume is twice the volume of a cube with a given side. Hippocrates and Menaechmus showed that the volume of the cube could be doubled
Straightedge and compass construction
Straightedge_and_compass_construction
Space filling fractal curve
order N−1 3D Hilbert curve at the corners of a cube, rotate them and connect them by line segments. Hilbert curve Sierpiński curve z-order (curve) List of
Moore_curve
2025 American biographical drama film
Jim Belushi, Ella Anderson, King Princess, Mustafa Shakir, and Hudson Hilbert Hensley rounding out the main cast. Pop singer-songwriter Neil Diamond
Song_Sung_Blue_(2025_film)
Geometry without using coordinates
system for geometry was given only at the end of the 19th century by David Hilbert. At the same time, it appeared that both synthetic methods and analytic
Synthetic_geometry
Positive integer of the form 4n + 1
a Hilbert number is a positive integer of the form 4n + 1 (Flannery & Flannery (2000, p. 35)). The Hilbert numbers were named after David Hilbert. The
Hilbert_number
Value determined from a polyhedron
dissections can tile space. It is named after Max Dehn, who used it to solve Hilbert's third problem by proving that certain polyhedra with equal volume cannot
Dehn_invariant
Euclidean geometry without distance and angles
field of real numbers. The first non-Desarguesian plane was noted by David Hilbert in his Foundations of Geometry. The Moulton plane is a standard illustration
Affine_geometry
Relationship between two lines that meet at a right angle
Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva Kātyāyana Khayyám Klein Lobachevsky Manava Minkowski
Perpendicular
German mathematician (1826–1866)
the existence of a minimum was not guaranteed. Through the work of David Hilbert in the Calculus of Variations, the Dirichlet principle was finally established
Bernhard_Riemann
Geometry without the parallel postulate
insufficient basis for Euclidean geometry, so other systems (such as Hilbert's axioms without the parallel axiom) are used instead. In Euclid's Elements
Absolute_geometry
Cube capped by two square pyramids
polyhedron constructed by attaching two equilateral square pyramids onto a cube's faces that are opposite each other. It can also be seen as 4 lunes (squares
Elongated_square_bipyramid
Infinitely detailed mathematical structure
dimension of the image of the Hilbert map in R2 are both 2. Note, however, that the topological dimension of the graph of the Hilbert map (a set in R3) is 1
Fractal
Topological space of dimension zero
is given the discrete topology. Such a space is sometimes called a Cantor cube. If I is countably infinite, 2 I {\displaystyle 2^{I}} is the Cantor space
Zero-dimensional_space
Space with one dimension
Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva Kātyāyana Khayyám Klein Lobachevsky Manava Minkowski
One-dimensional_space
Type of geometry
projective geometry have been proposed (see, for example, Coxeter 2003, Hilbert & Cohn-Vossen 1999, Greenberg 2008). These axioms are based on Whitehead
Projective_geometry
Mathematical space with two coordinates
Three-dimensional Surface area Volume Polyhedron Platonic Solid Tetrahedron cuboid Cube Octahedron Dodecahedron Icosahedron Pyramid Solid of revolution Sphere Great
Two-dimensional_space
Geometry of the surface of a sphere
Three-dimensional Surface area Volume Polyhedron Platonic Solid Tetrahedron cuboid Cube Octahedron Dodecahedron Icosahedron Pyramid Solid of revolution Sphere Great
Spherical_geometry
Geometric model of the planar projection of the physical universe
Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva Kātyāyana Khayyám Klein Lobachevsky Manava Minkowski
Euclidean_plane
Mathematical invariance under transformations
Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva Kātyāyana Khayyám Klein Lobachevsky Manava Minkowski
Symmetry
Study of complex manifolds and several complex variables
Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva Kātyāyana Khayyám Klein Lobachevsky Manava Minkowski
Complex_geometry
Straight line segment that passes through the centre of a circle
Three-dimensional Surface area Volume Polyhedron Platonic Solid Tetrahedron cuboid Cube Octahedron Dodecahedron Icosahedron Pyramid Solid of revolution Sphere Great
Diameter
Branch of mathematics
C ∞ ( M ) {\displaystyle C^{\infty }(M)} acts by multiplication on the Hilbert space L 2 ( M , S ) {\displaystyle L^{2}(M,S)} of square-integrable spinors
Noncommutative_geometry
Type of non-Euclidean geometry
space that have a finite area of constant negative Gaussian curvature. By Hilbert's theorem, one cannot isometrically immerse a complete hyperbolic plane
Hyperbolic_geometry
Straight figure with zero width and depth
coordinates. In an axiomatic formulation of Euclidean geometry, such as that of Hilbert (modern mathematicians added to Euclid's original axioms to fill perceived
Line_(geometry)
Polyhedron with four faces
the cube. The cube can be dissected into six such 3-orthoschemes four different ways, with all six surrounding the same √3 cube diagonal. The cube can
Tetrahedron
Study of geometry using a coordinate system
Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva Kātyāyana Khayyám Klein Lobachevsky Manava Minkowski
Analytic_geometry
Part of a line that is bounded by two distinct end points; line with two endpoints
and Tensor Analysis, pages 2 & 3, Marcel Dekker ISBN 0-8247-6671-7 David Hilbert The Foundations of Geometry. The Open Court Publishing Company 1950, p
Line_segment
Overview of and topical guide to geometry
dimensions Space group Symmetry group Translational symmetry Wallpaper group Hilbert's axioms Locus Line Line segment Parallel Angle Concurrent lines Adjacent
Outline_of_geometry
Branch of mathematics
algebraic geometry, a point of an affine variety may be identified, through Hilbert's Nullstellensatz, with a maximal ideal of the coordinate ring, while the
Algebraic_geometry
Historical development of geometry
on our intuition of space. Such axioms, now known as Hilbert's axioms, were given by David Hilbert in 1894 in his dissertation Grundlagen der Geometrie
History_of_geometry
Area of mathematical analysis
the types of questions addressed. Fourier analysis has a basic form in Hilbert space, where orthogonality and Plancherel's theorem are central, and studies
Harmonic_analysis
Flat-sided three-dimensional shape
many faces called apeirohedra, the underlying space of which is a complex Hilbert space known as complex polyhedra, as well as allowing curved faces and
Polyhedron
Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva Kātyāyana Khayyám Klein Lobachevsky Manava Minkowski
List_of_geometers
Perimeter of a circle or ellipse
Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva Kātyāyana Khayyám Klein Lobachevsky Manava Minkowski
Circumference
Concept in geometry
Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva Kātyāyana Khayyám Klein Lobachevsky Manava Minkowski
Area_of_a_circle
Shape with four equal sides and angles
square fractal, with square holes. Space-filling curves including the Hilbert curve, Peano curve, and Sierpiński curve cover a square as the continuous
Square
Arrangement of 30 points and 12 lines
graph. Schläfli (1858), p. 115. Hilbert & Cohn-Vossen (1952), p. 166. Hilbert & Cohn-Vossen (1952), pp. 164–166. Hilbert & Cohn-Vossen (1952), Fig. 181
Schläfli_double_six
Fundamental object of geometry
153. Silverman (1969), p. 7. de Laguna (1922). Heath (1956), p. 154. "Hilbert's axioms", Wikipedia, 2024-09-24, retrieved 2024-09-29 Gerla (1995). Whitehead (1919
Point_(geometry)
Two tetrahedra crossing each other
stellation of the octahedron, and dually the only fully symmetric faceting of the cube. The combinatorial structure of this shape has been considered in multiple
Stellated_octahedron
Mathematics of varieties with integer coordinates
number of variables, as in Mordell's Diophantine Equations (1969). The Hilbert–Hurwitz result from 1890 reducing the Diophantine geometry of curves of
Diophantine_geometry
Solid with four equal triangular faces
embedded inside a cube in two ways such that each vertex is a vertex of the cube, and each edge is a diagonal of one of the cube's faces. For one such
Regular_tetrahedron
island H-fractal Hénon map Hexaflake Hilbert curve Ikeda map attractor Iterated function system Jerusalem cube Julia set Koch curve Koch snowflake L-system
List_of_mathematical_shapes
Mathematical model of the physical space
whether the applicable geometry was Euclidean or non-Euclidean. Hilbert's axioms: Hilbert's axioms had the goal of identifying a simple and complete set
Euclidean_geometry
Branch of mathematics
Sanskrit verses, was divided into two sections: "basic operations" (including cube roots, fractions, ratio and proportion, and barter) and "practical mathematics"
Geometry
Branch of differential geometry and differential topology
Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva Kātyāyana Khayyám Klein Lobachevsky Manava Minkowski
Symplectic_geometry
Geometric model of the physical space
construction of the five regular Platonic solids in a sphere, covering the cube, octahedra, icosahedra and dodecahedra. In the 17th century, three-dimensional
Three-dimensional_space
Geometric configuration of 12 points and 6 lines
diagonals of a cube, and the points as the eight vertices of the cube, its center, and the three points where groups of four parallel cube edges meet the
Reye_configuration
Non-Euclidean geometry
Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva Kātyāyana Khayyám Klein Lobachevsky Manava Minkowski
Elliptic_geometry
Result of multiplying four instances of a number together
n × n × n. Fourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares. Some people refer to n4 as n tesseracted
Fourth_power
Mathematical treatise by Euclid
late 19th century, when gaps were found in his reasoning and when David Hilbert began seeking "to revive Euclid's axiomatic point of view", to develop
Euclid's_Elements
Square of a triangular number
In number theory, the sum of the first n cubes is the square of the nth triangular number. That is, 1 3 + 2 3 + 3 3 + ⋯ + n 3 = ( 1 + 2 + 3 + ⋯ + n )
Squared_triangular_number
Polyhedron which tiles 3D space
include the cube, triangular prism, and the hexagonal prism. Any parallelepiped tessellates Euclidean 3-space, as do the five parallelohedra (the cube, hexagonal
Space-filling_polyhedron
Geometry where the axiom of Archimedes is negated
"accumulate". Robin Hartshorne, Geometry: Euclid and beyond (2000), p. 158. Hilbert, David (1902), The foundations of geometry (PDF), The Open Court Publishing
Non-Archimedean_geometry
Set of points equidistant from a center
plane) in the pencil. In their book Geometry and the Imagination, David Hilbert and Stephan Cohn-Vossen describe eleven properties of the sphere and discuss
Sphere
Problem in number theory
include sums of non-negative cubes and sums of rational cubes. All integers have a representation as a sum of rational cubes, but it is unknown whether
Sums_of_three_cubes
Result of multiplying six instances of a number
multiplying the square of a number by its fourth power, by cubing a square, or by squaring a cube. The sequence of sixth powers of integers are: 0, 1, 64
Sixth_power
Centered figurate number that counts points in a three-dimensional pattern
A centered cube number is a centered figurate number that counts the points in a three-dimensional pattern formed by a point surrounded by concentric cubical
Centered_cube_number
Concept in combinatorics
3-dimensional cube can be partitioned by exactly n planes. The cake number is so called because one may imagine each partition of the cube by a plane as
Cake_number
Branch of geometry that studies combinatorial properties and constructive methods
Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva Kātyāyana Khayyám Klein Lobachevsky Manava Minkowski
Discrete_geometry
Mathematical set with some added structure
of spaces, such as Euclidean spaces, linear spaces, topological spaces, Hilbert spaces, or probability spaces, it does not define the notion of "space"
Space_(mathematics)
Area of mathematics
Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva Kātyāyana Khayyám Klein Lobachevsky Manava Minkowski
Discrete differential geometry
Discrete_differential_geometry
Ten raised to an integer power
Mersenne Fermat Mersenne Proth Thabit Woodall Other polynomial numbers Hilbert Idoneal Leyland Loeschian Lucky numbers of Euler Recursively defined numbers
Power_of_10
Multivariate functions can be written using univariate functions and summing
closely related to Hilbert's 13th problem. In his Paris lecture at the International Congress of Mathematicians in 1900, David Hilbert formulated 23 problems
Kolmogorov–Arnold representation theorem
Kolmogorov–Arnold_representation_theorem
HILBERT CUBE
HILBERT CUBE
Surname or Lastname
English
English : variant of Hilbert.
Male
Scottish
Variant spelling of Scottish Gaelic Ailbeart, AILBERT means "bright nobility."
Male
French
French form of German Filabert, FULBERT means "very bright."Â
Male
German
Contracted form of German Hildebert, HILBERT means "battle-bright."
Surname or Lastname
English
English : variant of Hilburn.
Surname or Lastname
English
English : variant of Hilbert.
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’.
Female
Spanish
Feminine form of Spanish Gilberto, GILBERTA means "pledge-bright."
Male
French
French form of German Filabert, FILIBERT means "very bright."
Surname or Lastname
English
English : variant spelling of Hulbert.
Male
English
English form of Latin Filbertus, FILBERT means "very bright."
Male
English
English form of Old French Gilebert, GILBERT means "pledge-bright."Â
Male
French
Variant spelling of French Philibert, PHILBERT means "very bright."
Male
English
Probably a Middle English form of Anglo-Saxon Æðelbert, DELBERT means "bright nobility."
Boy/Male
English
Introduced to Britain during the Norman conquest, from the Old German Filibert, meaning very bright.
Surname or Lastname
English, northern Irish, and Scottish
English, northern Irish, and Scottish : variant of Colbert.
Male
French
Norman French form of German Hilbert, ILBERT means "battle-bright."
Male
English
Variant spelling of English Delbert, DILBERT means "bright nobility."
Boy/Male
English
Son of Gilbert.
Male
Scottish
Scottish Gaelic form of English Albert, AILBEART means "bright nobility."
HILBERT CUBE
HILBERT CUBE
Boy/Male
Arabic, Muslim
Servant of the Exalted (Allah)
Boy/Male
American, Australian
From the Lake
Boy/Male
Scottish
From Comines.
Girl/Female
Hindu
Male
English
Variant spelling of English Monty, MONTE means "pointed mountain."
Boy/Male
Bengali, Indian
Always Victory Personality
Boy/Male
Indian
Forgiver, Merciful
Boy/Male
Hindu
Boy/Male
Hindu, Indian, Tamil
Son of Lord Shiva and Parvati; Lord Ganesh
Girl/Female
Hindu, Indian, Marathi
Helping Other
HILBERT CUBE
HILBERT CUBE
HILBERT CUBE
HILBERT CUBE
HILBERT CUBE
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.
n.
A sieve of filberts, -- about fifty pounds.
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 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.
a.
Hastate.
n.
A kind of halberd or pike; also, a truncheon; a staff.
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.
a.
In the form of four unhusked filberts; as, an avellane cross.
n.
One who is armed with a halberd.
a.
Pertaining to, or derived from, cubebs; as, cubebic acid (a soft olive-green resin extracted from cubebs).
n.
A cuplet or little cup, as of the acorn; the husk or bur of the filbert, chestnut, etc.
n.
The small, spicy berry of a species of pepper (Piper Cubeba; in med., Cubeba officinalis), native in Java and Borneo, but now cultivated in various tropical countries. The dried unripe fruit is much used in medicine as a stimulant and purgative.
a.
A broadsword fixed on a pike; a kind of halberd.
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.
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.
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.
An Anglo-Saxon battle-ax, or halberd.
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.