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Measure of the degree to which a geometric shape is compact
Compactness measure is a numerical quantity representing the degree to which a shape is compact. The circle and the sphere are the most compact planar
Compactness_measure
Mathematical compactness measure of a shape
The Polsby–Popper test is a mathematical compactness measure of a shape developed to quantify the degree of gerrymandering of political districts. The
Polsby–Popper_test
analysis, two measures of non-compactness are commonly used; these associate numbers to sets in such a way that compact sets all get the measure 0, and other
Measure_of_non-compactness
Topics referred to by the same term
Compactness can refer to: Compact space, in topology Compact operator, in functional analysis Compactness theorem, in first-order logic Compactness measure
Compactness_(disambiguation)
Topics referred to by the same term
roundness A circularity ratio as a compactness measure of a shape An assumption of ANOVAs, with repeated-measures, often called "sphericity" Circular
Circularity
Measure of how closely a shape resembles a sphere
can turn without failing. Sphericity is a specific example of a compactness measure of a shape. Sphericity applies in three dimensions; its analogue
Sphericity
Measure of the fairness of electoral districts
starting point and should be built upon with additional measures, like the compactness measure of a shape to prevent against gerrymandering. Citing in
Efficiency_gap
Type of mathematical space
of Euclidean space, compactness is equivalent to being closed and bounded, by the Heine–Borel theorem. The property of compactness often allows local information
Compact_space
Left-invariant (or right-invariant) measure on locally compact topological group
In mathematical analysis, the Haar measure assigns an "invariant volume" to subsets of locally compact topological groups, consequently defining an integral
Haar_measure
Type of mathematical measure
finite on all compact sets, outer regular on all Borel sets, and inner regular on open sets. These conditions guarantee that the measure is "compatible"
Radon_measure
Mathematics of real numbers and real functions
studies limits, continuity, compactness, differentiation, integration, and series. More advanced courses often include measure theory, Lebesgue integration
Real_analysis
Theorem in measure theory
In measure theory Prokhorov's theorem relates tightness of measures to relative compactness (and hence weak convergence) in the space of probability measures
Prokhorov's_theorem
Topics referred to by the same term
analysis: Shape factor (image analysis and microscopy) including: The compactness measure of a shape In statistics: The shape parameter, sometimes referred
Shape_factor
Generalization of mass, length, area and volume
In mathematics, the concept of a measure is a generalization and formalization of geometrical measures (length, area, volume) and other common notions
Measure_(mathematics)
Surname list
American political scientist Polsby–Popper test, a mathematical compactness measure This page lists people with the surname Polsby. If an internal link
Polsby
Measure of how closely the shape of an object approaches that of a circle
circle and goes down as far as 0 for highly non-circular shapes. Compactness measure of a shape Eccentricity (mathematics), how much a conic section (e
Roundness
Pager
medical professionals, the Pageboy was considered "cutting edge and compact", measuring 5.25 inches by 2.36 inches. In 1967, low-frequency Pageboys operating
Motorola_Pageboy
Type of topological space in mathematics
homeomorphism) locally compact Hausdorff space X. This is shown using the Gelfand representation. The notion of local compactness is important in the study
Locally_compact_space
Mathematical measure for topological spaces
sets and from below by compact measurable sets. Let (X, T) be a topological space and let Σ be a σ-algebra on X. Let μ be a measure on (X, Σ). A measurable
Regular_measure
Type of topological group in mathematics
property of local compactness, and as such motivated the search for the more general theory, presented here. Any discrete group is locally compact. The theory
Locally_compact_group
Concept in measure theory
counting measure is σ -finite. Locally compact groups which are σ-compact are σ-finite under the Haar measure. For example, all connected, locally compact groups
Σ-finite_measure
Statement about linear functionals and measures
functionals on spaces of continuous functions on a locally compact space to measures in measure theory. The theorem is named for Frigyes Riesz (1909) who
Riesz–Markov–Kakutani representation theorem
Riesz–Markov–Kakutani_representation_theorem
On distance sets of high-dimensional sets
determine a set of distances that is large in measure. More precisely, if S {\displaystyle S} is a compact set of points in d {\displaystyle d} -dimensional
Falconer's_conjecture
Surface area per unit volume
all other known rocky bodies) so that their heat loss is minimal. Compactness measure of a shape Dust explosion On Being the Right Size Square–cube law
Surface-area-to-volume_ratio
Extended measure of size in mathematics
boundary has Lebesgue measure zero. (Or equivalently, if the boundary has Jordan measure zero; the equivalence holds due to compactness of the boundary.)
Peano–Jordan_measure
American mathematician
Donald Samuel Ornstein and the title of his dissertation was Locally Compact Measure Preserving Flows. Daniel Rudolph - contemporary of Doug Lind Lind,
Doug_Lind
Synthesiser series
digitally using their Analog Circuit Behaviour (ACB) technology. The Aira Compacts measure 18 by 10 centimetres (7.1 in × 3.9 in). They are all portable and have
Aira_Compact
Digital optical disc data storage format
patents, and prototypes instigated and in some measure influenced the compact disc's design. The compact disc is an evolution of LaserDisc technology,
Compact_disc
Concept in measure theory
M} is sequential weak compactness. We say the family M {\displaystyle M} of probability measures is sequentially weakly compact if for every sequence
Tightness_of_measures
Type of continuous linear operator
families have compact closure in spaces such as C ( [ a , b ] ) {\displaystyle C([a,b])} . Thus many integral operators are compact. This compactness is useful
Compact_operator
Duality for locally compact abelian groups
with the Haar measure introduced by John von Neumann, André Weil and others depends on the theory of the dual group of a locally compact abelian group
Pontryagin_duality
Theorem in topology
non-empty compact set. The result also holds if one works with the ball measure of non-compactness or the separation measure of non-compactness, since these
Kuratowski's intersection theorem
Kuratowski's_intersection_theorem
Broadest definition of sizes in integer-dimensional spaces
In mathematics, Lebesgue measure is the standard way of assigning a notion of length to subsets of the real line, area to regions of the Euclidean plane
Lebesgue_measure
U.S. agreement on presidential elections
outcome, while the intermediary measure of state-level majorities is rendered obsolete. Some opponents of the compact contend that it would lead to a
National Popular Vote Interstate Compact
National_Popular_Vote_Interstate_Compact
Measure for Baire sets in mathematics
Baire measure is a measure on the σ-algebra of Baire sets of a topological space whose value on every compact Baire set is finite. In compact metric
Baire_measure
"Pushed forward" from one measurable space to another
In measure theory, a pushforward measure (also known as push forward, push-forward or image measure) is obtained by transferring ("pushing forward") a
Pushforward_measure
Measure defined on all open sets of a topological space
require additional restrictions on the measure, as described below. Let X {\displaystyle X} be a locally compact Hausdorff space, and let B ( X ) {\displaystyle
Borel_measure
Inputs for which a function's value is non-zero
α , {\textstyle \bigcup U_{\alpha },} a simple argument based on the compactness of the support of ϕ {\displaystyle \phi } and a partition of unity shows
Support_(mathematics)
Measure on group representations
mathematics, Plancherel measure is a measure defined on the set of irreducible unitary representations of a locally compact group G {\displaystyle G}
Plancherel_measure
Theorem in mathematics
reflexivity is equivalent to the weak compactness of the unit sphere, Victor L. Klee reformulated this as a compactness criterion for the unit sphere in 1962
James's_theorem
Form of continuity for functions
function is related to the Radon–Nikodym derivative, or density, of a measure. We have the following chains of inclusions for functions over an interval:
Absolute_continuity
Study of geometric properties of sets through measure theory
mathematics, geometric measure theory (GMT) is the study of geometric properties of sets (typically in Euclidean space) through measure theory. It allows mathematicians
Geometric_measure_theory
Topics referred to by the same term
set Complete variety, an algebraic variety that satisfies an analog of compactness Complete orthonormal basis—see Orthonormal basis § Orthonormal system
Completeness
Flexible ruler used to measure size or distance
A tape measure or measuring tape is a long, flexible ruler used to measure length or distance. It usually consists of a ribbon of cloth, plastic, fibreglass
Tape_measure
Subject in mathematics
In mathematics, measure theory in topological vector spaces refers to the extension of measure theory to topological vector spaces. Such spaces are often
Measure theory in topological vector spaces
Measure_theory_in_topological_vector_spaces
In mathematics, a Rajchman measure, studied by Rajchman (1928), is a regular Borel measure on a locally compact group such as the circle, whose Fourier
Rajchman_measure
Measure that is 1 if and only if a specified element is in the set
condition to be an inner regular measure, since singleton sets such as {x} are always compact. Hence, δx is also a Radon measure. Assuming that the topology
Dirac_measure
2009 aircraft accident in the Atlantic Ocean
parts and the landing gear. The debris field was described as "quite compact", measuring 200 by 600 metres (700 by 2,000 ft) and a short distance north of
Air_France_Flight_447
Measure of total value one, generalizing probability distributions
Left-invariant (or right-invariant) measure on locally compact topological group Counting measure Lebesgue measure – Broadest definition of sizes in integer-dimensional
Probability_measure
distribution taking values in a normed space is called a p-adic measure if the values on compact open subsets are bounded. Colmez, Pierre (2004), Fontaine's
P-adic_distribution
that set, while assigning finite and positive (i.e. non-zero) measure to some compact set. Let V be a real vector space together with a metric space
Transverse_measure
finite-dimensional probability distributions leads to a Baire measure on the space of functions. Assuming compactness (of the given space, and therefore also the function
Baire_set
Ratio that quantifies the compactness of the geographic area of a voting district
The Reock degree of compactness, or Reock compactness score, is a ratio that quantifies the compactness of the geographic area of a voting district. The
Reock_degree_of_compactness
German mathematician (1903–1988)
photographer. Mahler's inequality Mahler measure Mahler polynomial Mahler volume Mahler's theorem Mahler's compactness theorem Skolem–Mahler–Lech theorem Coates
Kurt_Mahler
American folding cameras (1912–1934)
film, it is more compact than contemporary folding cameras using 120 film and larger sheet film formats offered by Kodak; measuring approximately 12×6
Vest_Pocket_Kodak
Russian-French mathematician
Gromov's compactness theorem, stating that the set of compact Riemannian manifolds with Ricci curvature ≥ c and diameter ≤ D is relatively compact in the
Mikhael Gromov (mathematician)
Mikhael_Gromov_(mathematician)
support of μ is nonempty on mild conditions on μ. By the weak compactness of Radon measures, Tan(μ, a) is nonempty if one of the following conditions hold:
Tangent_measure
Shape containing unit line segments in all directions
sets in the plane of measure zero and in 1928 that there are Kakeya needle sets in the plane of arbitrarily small positive measure. There are no Kakeya
Kakeya_set
Generalized notion of measure in mathematics
In mathematics, a signed measure is a generalization of the concept of (positive) measure by allowing the set function to take negative values, i.e., to
Signed_measure
Mathematical folklore
Lebesgue measure is a measure defined on infinite-dimensional normed vector spaces, such as Banach spaces, which resembles the Lebesgue measure used in
Infinite-dimensional Lebesgue measure
Infinite-dimensional_Lebesgue_measure
Fraction of a space filled by objects packed into that space
K n {\displaystyle K_{1},\dots ,K_{n}} are measurable subsets of a compact measure space X {\displaystyle X} and their interiors pairwise do not intersect
Packing_density
Topological group with compact topology
dimension) and the image will be a closed subgroup of the unitary group by compactness. Cartan's theorem states that Im(ρ) must itself be a Lie subgroup in
Compact_group
idempotent measure on a metric group is a probability measure that equals its convolution with itself; in other words, an idempotent measure is an idempotent
Idempotent_measure
US interstate water allocation agreement
users are exploring voluntary measures to address shortages. Some have called for amending or re-interpreting the compact in light of its past deficiencies
Colorado_River_Compact
Measure of polynomial height
In mathematics, the Mahler measure M ( p ) {\displaystyle M(p)} of a polynomial p ( z ) {\displaystyle p(z)} with complex coefficients is defined as M
Mahler_measure
One of several related theorems regarding the sizes of certain sumsets in abelian groups
The last statement deals with the case of equality for Haar measure in connected compact abelian groups. If G {\displaystyle G} is an abelian group and
Kneser's theorem (combinatorics)
Kneser's_theorem_(combinatorics)
Locally compact topological group with an invariant averaging operation
the Haar measure. (This is a Borel regular measure when G is second-countable; the left and right Haar measures coincide when G is compact.) Consider
Amenable_group
Mathematical concept
measure theory, there are various notions of the convergence of measures. For an intuitive general sense of what is meant by convergence of measures,
Convergence_of_measures
Metric used in probability and statistics
replaced with a different probability measure with respect to which both P and Q are absolutely continuous. For compactness, the above formula is often written
Hellinger_distance
Type of Borel measure
In mathematics, a Gaussian measure is a Borel measure on finite-dimensional Euclidean space R n {\displaystyle \mathbb {R} ^{n}} , closely related to the
Gaussian_measure
intersection property Compactification Measure of non-compactness Paracompact space Locally compact space Compactly generated space Axiom of countability Sequential
List of general topology topics
List_of_general_topology_topics
Concept in mathematics
mathematics, the support (sometimes topological support or spectrum) of a measure μ {\displaystyle \mu } on a measurable topological space ( X , Borel
Support_(measure_theory)
In mathematics, a Borel measure μ on n-dimensional Euclidean space R n {\displaystyle \mathbb {R} ^{n}} is called logarithmically concave (or log-concave
Logarithmically concave measure
Logarithmically_concave_measure
Amendment to Florida's Constitution
legislative districts. The measure was approved for circulation on September 28, 2007. The Supreme Court of Florida ruled the measure constitutional on January
2010_Florida_Amendment_6
splitting theorem (differential geometry) Gromov's compactness theorem (Riemannian geometry) Gromov's compactness theorem (symplectic topology) Gromov–Ruh theorem
List_of_theorems
{\displaystyle A\subsetneq \mathbb {R} ^{n}} be a compact set. Let μ ( A ) {\displaystyle \mu (A)} denote the Lebesgue measure (volume) of A {\displaystyle A} . Define
Minkowski–Steiner_formula
Theorem in geometry
is an inequality relating the volumes (or more generally Lebesgue measures) of compact subsets of Euclidean space. The original version of the Brunn–Minkowski
Brunn–Minkowski_theorem
Stochastic way of assigning quantities across a space
In probability theory, a random measure is a measure-valued random element. Random measures are for example used in the theory of random processes, where
Random_measure
Generalized function whose value is zero everywhere except at zero
Euclidean space Rn. On a locally compact Hausdorff space X, the Dirac delta measure concentrated at a point x is the Radon measure associated with the Daniell
Dirac_delta_function
Fluorescent lamps with folded tubes, often with built-in ballast
Compact fluorescent lamp (CFL) examples A compact fluorescent lamp (CFL), also called compact fluorescent light, energy-saving light and compact fluorescent
Compact_fluorescent_lamp
Method of mathematical integration
of a measure at a compactly supported function is then also by definition the integral of the function. One then proceeds to expand the measure (the integral)
Lebesgue_integral
Mathematical space with a notion of distance
invariant since it is equivalent to compactness.) One example of a compact space is the closed interval [0, 1]. Compactness is important for similar reasons
Metric_space
The following is a list of ballot measures, whether initiated by legislators or citizens, which were certified to appear on various states' ballots during
2026 United States ballot measures
2026_United_States_ballot_measures
charts are compiled by the Official Charts Company to measure sales of recorded music on compact disc and digital download. In early January, Iyaz's début
2010_in_British_music_charts
Generalization of a measure
In mathematics, in particular in measure theory, a content μ {\displaystyle \mu } is a real-valued function defined on a collection of subsets A {\displaystyle
Content_(measure_theory)
Theorem in harmonic analysis
Plancherel theorem states that there is a Haar measure on G ^ {\displaystyle {\widehat {G}}} , the dual measure such that ‖ f ‖ G 2 = ‖ f ^ ‖ G ^ 2 {\displaystyle
Plancherel_theorem
Generalization of compactness
related branches of mathematics, total-boundedness is a generalization of compactness for circumstances in which a set is not necessarily closed. A totally
Totally_bounded_space
Property of a sequence or series
neighborhood of each point) Compact (uniform) convergence (i.e. uniform convergence on all compact subsets) ...from a measure space (S,μ) to the complex
Modes_of_convergence
Concept in mathematics
In mathematics, an invariant measure is a measure that is preserved by some function. The function may be a geometric transformation. For examples, circular
Invariant_measure
On convergent subsequences of functions that are locally of bounded total variation
mathematical analysis. In probability theory, the result implies compactness of a tight family of measures. Let (fn)n ∈ N be a sequence of increasing functions mapping
Helly's_selection_theorem
1978 studio album by Boston
with making this album, as evidenced by lines about being unsure about measuring up as a man in "A Man I'll Never Be", and the line "I've been used/But
Don't Look Back (Boston album)
Don't_Look_Back_(Boston_album)
1990. viii+80 pp. ISBN 0-8218-0724-2 P.L. Lions. The concentration-compactness principle in the calculus of variations. The limit case. I. Rev. Mat
Brezis–Lieb_lemma
Soil moisture test
the dry density could be determined by simply measuring the weight of the soil before and after compaction, calculating the moisture content, and furthermore
Proctor_compaction_test
Topics referred to by the same term
Search for "Mahler" on Wikipedia. Maher (disambiguation) Mahler measure Mahler's compactness theorem Mahler's theorem Maler All pages with titles beginning
Mahler_(disambiguation)
Property of measure-preserving dynamical systems
More precisely, a measure-preserving dynamical system is ergodic if every invariant measurable set has either measure zero or full measure. Equivalently,
Ergodicity
Integral expressing the amount of overlap of one function as it is shifted over another
of measures given below. However, with a right instead of a left Haar measure, the latter integral is preferred over the former. On locally compact abelian
Convolution
Set of points on a line segment with certain topological properties
seen as the compact group of binary sequences, and as such, it is endowed with a natural Haar measure. When normalized so that the measure of the set is
Cantor_set
\over 2\pi }f(r_{n}e^{i\varphi })\,d\varphi } is a probability measure. By a compactness argument (or equivalently in this case Helly's selection theorem
Positive_harmonic_function
Branch of mathematics
spaces with minimal changes. For example, compactness in metric spaces is equivalent to sequential compactness, so limiting arguments on metric spaces can
Mathematical_analysis
In mathematics, in particular in measure theory, there are different notions of distribution function which are used in different context. Distribution
Distribution function (measure theory)
Distribution_function_(measure_theory)
COMPACTNESS MEASURE
COMPACTNESS MEASURE
Surname or Lastname
English
English : habitational name from any of various places called Fifield or Fyfield, of which there are instances in Berkshire, Essex, Oxfordshire, and Wiltshire, all so named from Old English fīf ‘five’ + hīd ‘hide’. (A hide was a measurement of land area.)
Boy/Male
Tamil
Measured, Adjusted, Moderate
Surname or Lastname
English
English : from Middle English, Old French ga(u)ge ‘measure’, probably applied as a metonymic occupational name for an assayer, an official who was in charge of checking weights and measures.English and French : from Middle English, Old French gage ‘pledge’, ‘surety’ (against which money was lent), and therefore a metonymic occupational name for a moneylender or usurer.
Surname or Lastname
English (also common in South Wales)
English (also common in South Wales) : habitational name from any of the places so called in Devon, Dorset, Somerset, and Wiltshire, named with Old English hīwisc, a measure of land considered sufficient to support a household.
Surname or Lastname
English
English : from Middle English kibble ‘cudgel’, hence a nickname for a heavy, thickset man or for a belligerent individual.Altered spelling of German Kibbel or Kübel, a metonymic occupational name for a cooper, from Middle High German kübel ‘vat’, from Latin cupella ‘drinking vessel’, ‘grain measure’. Compare Kibler.
Boy/Male
Tamil
Sweet, One who speaks sweetly, Parrot, Measured
Surname or Lastname
English (West Midlands)
English (West Midlands) : patronymic from Firkin, a metonymic occupational name for a maker of casks and barrels, or a nickname for a stout man or a heavy drinker, from Middle English fer(de)kyn ‘small cask’ (probably from a Middle Dutch diminutive of vierde ‘fourth (part)’; as a measure of capacity a firkin was reckoned as a quarter of a barrel).
Surname or Lastname
English
English : topographic name for someone living on (and farming) a hide of land, Old English hī(gi)d. This was a variable measure of land, differing from place to place and time to time, and seems from the etymology to have been originally fixed as the amount necessary to support one (extended) family (Old English hīgan, hīwan ‘household’). In some cases the surname is habitational, from any of the many minor places named with this word, as for example Hyde in Greater Manchester, Bedfordshire, and Hampshire.English : variant of Ide, with inorganic initial H-. Compare Herrick.Jewish (American) : Americanized spelling of Haid.
Surname or Lastname
English
English : habitational name from Melhuish in Devon, so called from Old English mǣl(e) ‘brightly colored’, ‘flowery’ + hīwisc ‘hide’ (a measurement of land).Scottish : variant of Mellis 2.
Surname or Lastname
English
English : occupational name for an assayer, from an agent derivative of Middle English, Old French ga(u)ge ‘measure’ (see Gage).German : probably a topographic name from Tyrolean Gagen ‘alpine dairy hut’.
Boy/Male
Hindu
Boundless, Magnanimous, One who is beyond measure
Surname or Lastname
English
English : occupational name for someone who produced or used malt for brewing, from an agent derivative of Middle English malt ‘malt’, ‘germinated barley’ (Old English mealt).English (of Norman origin) : according to Reaney, a habitational name from some place in France called Maleterre, from Old French male terre ‘bad land’ (Latin mala terra).German : metonymic occupational name for a grain measurer or a maker of grain measures, or for a miller, from Middle High German malter, a measure of grain.Jewish (Ashkenazic) : unexplained.
Boy/Male
Tamil
Sweet, One who speaks sweetly, Parrot, Measured
Girl/Female
Indian, Telugu
Completness
Surname or Lastname
English (chiefly West Midlands)
English (chiefly West Midlands) : (of Norman origin): habitational or regional name from Old French mansel ‘inhabitant of Le Mans or the surrounding area of Maine’. The place was originally named in Latin (ad) Ceromannos, from the name of the Gaulish tribe living there, the Ceromanni. The name was reduced to Celmans and then became Le Mans as a result of the mistaken identification of the first syllable with the Old French demonstrative adjective.English (chiefly West Midlands) : status name for a particular type of feudal tenant, Anglo-Norman French mansel, one who occupied a manse (Late Latin mansa ‘dwelling’), a measure of land sufficient to support one family.English (chiefly West Midlands) : some early examples, such as Thomas filius Manselli (Northumbria 1256), point to derivation from a personal name, perhaps the Germanic derivative of Mann 2 Latinized as Manzellinus.
Girl/Female
Indian
Boundless, Magnanimous, One who is beyond measure (Celebrity Name: Madhoo (Roja))
Surname or Lastname
English
English : unexplained; possibly of French origin (see 2). Compare Jurney.Anglicized spelling of French Journet or Journée, from Old French jornee, a measure of land representing an area that could be ploughed in a day; hence a name for someone who owned or worked such an area.
Surname or Lastname
German and Jewish (Ashkenazic)
German and Jewish (Ashkenazic) : metonymic occupational name for a cutler, from Middle High German mezzer ‘knife’, from Old High German mezzirahs, mezzisahs, a compound of maz ‘food’, ‘meat’ + sahs ‘knife’, ‘sword’. The Jewish name is from German Messer ‘knife’ or Yiddish meser.German : occupational name for an official in charge of measuring the dues paid in kind by tenants, from an agent derivative of Middle High German mezzen ‘to measure’.English and Scottish : occupational name for someone who kept watch over harvested crops, Middle English, Older Scots mess(i)er, from Old French messier (see Messier).
Girl/Female
Tamil
Boundless, Magnanimous, One who is beyond measure (Celebrity Name: Madhoo (Roja))
Girl/Female
Tamil
Sweet, One who speaks sweetly, Parrot, Measured
COMPACTNESS MEASURE
COMPACTNESS MEASURE
COMPACTNESS MEASURE
COMPACTNESS MEASURE
COMPACTNESS MEASURE
COMPACTNESS MEASURE
COMPACTNESS MEASURE
n.
The act or result of measuring; mensuration; as, measurement is required.
n.
To serve as the measure of; as, the thermometer measures changes of temperature.
n.
The quality of being dense, close, or thick; compactness; -- opposed to rarity.
a.
Regulated or determined by a standard; hence, equal; uniform; graduated; limited; moderated; as, he walked with measured steps; he expressed himself in no measured terms.
n.
Thickness; density; compactness.
n.
The quality or state of being trim; orderliness; compactness; snugness; neatness.
v. i.
To become hard or harder; to acquire solidity, or more compactness; as, mortar hardens by drying.
n.
State or quality of being solid; firmness; compactness; solidity, as of material bodies.
n.
One who measures; one whose occupation or duty is to measure commondities in market.
v. i.
To be of a certain size or quantity, or to have a certain length, breadth, or thickness, or a certain capacity according to a standard measure; as, cloth measures three fourths of a yard; a tree measures three feet in diameter.
n.
To allot or distribute by measure; to set off or apart by measure; -- often with out or off.
n.
The state or quality of being imporous; want of porosity; compactness.
n.
The state or quality of being compact; close union of parts; density.
n.
A state of being compact.
a.
Without measure; unlimited; immeasurable.
n.
The state or quality of being solid; density; consistency, -- opposed to fluidity; compactness; fullness of matter, -- opposed to openness or hollowness; strength; soundness, -- opposed to weakness or instability; the primary quality or affection of matter by which its particles exclude or resist all others; hardness; massiveness.
v. i.
To make a measurement or measurements.
n.
The extent, size, capacity, amount. or quantity ascertained by measuring; as, its measurement is five acres.
v. i.
To result, or turn out, on measuring; as, the grain measures well; the pieces measure unequally.