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Definition: Dense |
DenseAdjective1. Permitting little if any light to pass through because of denseness of matter; "dense smoke"; "heavy fog"; "impenetrable gloom". 2. Closely crowded together; "a compact shopping center"; "a dense population"; "thick crowds". 3. Hard to pass through because of dense growth; "dense vegetation"; "thick woods". 4. Having high relative density or specific gravity; "dense as lead". 5. Slow to learn or understand; lacking intellectual acuity; "so dense he never understands anything I say to him"; "never met anyone quite so dim"; "although dull at classical learning, at mathematics he was uncommonly quick"- Thackeray; "dumb officials make some really dumb decisions"; "he was either normally stupid or being deliberately obtuse"; "worked with the slow students". Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved. |
Date "dense" was first used in popular English literature: sometime before 1321. (references) |
Etymology: Dense \Dense\, adjective. [Latin expression densus; akin to Greek thick with hair or leaves: compare to the French expression dense.]. (references) |
| Domain | Definition |
Fine Arts | Opaque, applied to film images. Source: European Union. (references) |
Mining | A. Said of a fine-grained, aphanitic igneous rock whose particles average less than 0.05 to 0.1 mm in diameter, or whose texture is so fine that the individual particles cannot be recognized by the unaided eye b. Said of a rock whose constituent grains are crowded close together. The rock may be fine or coarse grained c. Said of a rock or mineral possessing a relatively high specificgravity. (references) |
Multilingual Slang | Catalan (curt-de-gambals). (references) |
Source: compiled by the editor from various references; see credits. | |
(From Wikipedia, the free Encyclopedia)
In mathematics, the term dense has at least two different meanings.
Note that the first notion of "dense" depends on the surrounding space, while the second notion is completely internal to the ordered set. The rationals in [0,1] for instance are dense as an ordered set and they are dense in the space [0,1] but they are not dense in the real numbers.
- A subset A of a topological space X is said to be dense if the only closed subset of X containing A is X itself. This can also be expressed by saying that the closure of A is X. Equivalently, every nonempty open subset of X intersects A, or in other words: the interior of the complement of A is empty. As an example, the set of rational numbers is a dense subset of the real numbers.
- A partial order on a set S is said to be dense if, for all x and y in S for which x < y, there is a z in S such that x < z < y. The rational numbers with the ordinary ordering are a densely ordered set in this sense, as are the real numbers.
- A subset B of a partially ordered set A is dense in A if for any x < y in A, there is some z in B such that x < z < y. In case the order is a linear order, then B is dense in A in the present sense if and only if B is dense in the order topology on A. Hence the first two meanings above are related.
See also density in physics.
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Dense."
(From Wikipedia, the free Encyclopedia)
Density (ISO 31: volumic mass) is a measure of mass per unit of volume. The higher an object's density, the higher its mass per volume. The average density of an object equals its total mass divided by its total volume. A denser object (such as iron) will have less volume than an equal mass of some less dense substance (such as water).
In the SI system of units, density is measured as kg/m3 (kilogram per cubic metre), but many people use the more convenient g/cm3 (gram per cubic centimetre) or kg/L (kilograms per litre).
Formerly mass and volume were linked by defining the gram to be the mass of one cubic centimeter of water at 4°C which meant that water had density 1 kg/litre. However, using one cubic centimeter of water as a standard for one gram is problematic due to the possibility of mass loss from evaporation as well as changes in density with temperature. For this reason alternative definitions of the meter and kilogram have been developed, which can be reproduced more reliably in a laboratory. Because of slight changes in the metre and kilogram due to these new definitions, the density of water at 4°C is not quite exactly 1, but 0.99995 kg/litre. A cubic meter of water thus weighs approximately one metric ton (tonne).
- 1 kg/dm3 = 1000 g/1000cm3 = 1 kg/L.
Perhaps the highest density known is reached in neutron star matter. The singularity at the centre of a black hole, according to general relativity, does not have any volume, so its density would be seen as either infinite or non-existent.
The densest naturally occurring substance on Earth is osmium, at about 22 kg/litre.
A table of densities of various substances:
Substance Density (103kg/m3) Gold 19.3 Uranium 18.7 Lead 11.3 Copper 8.92 Iron 7.86 Aluminium 2.70 Magnesium 1.75 Water 1.00 Air 0.0012 Note the low density of aluminium compared to most other metals. For this reason, aircraft were made of aluminium in the past. Also note that air has a nonzero, albeit small, density.
Relative Density
Relative density, formerly called specific gravity, is a dimensionless quantity defined as the density of a substance divided by the density of water at standard temperature and pressure. By definition, then, the relative density (or RD) of water is 1, and the RD of osmium is about 22.
See also
- Standard temperature and pressure
External link
Density may denote how much of a certain substance, object or occurrence is present per unit area or volume. Often used is population density, meaning how many people per square kilometre (or square mile) on average live in an area.The density of discrete entities such as people is difficult to characterise as a continuous quantity.
Geographers and mathematicians have made a number of attempts to formalize the concept of population density.
Charge density is the electric charge per unit area or unit volume.
See also probability density function.
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Density."
(From Wikipedia, the free Encyclopedia)
This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no clear distinction between different areas of topology, this glossary focuses primarily on general topology and definitions that are fundamental to a broad range of areas. See the article on topological spaces for basic definitions and examples, and see the article on topology for a brief history and description of the subject area.The following articles may also be useful. These either contain specialised vocabulary within general topology or provide more detailed expositions of the definitions given below. The list of general topology topics will also be very helpful.
All spaces in this glossary are assumed to be topological spaces unless stated otherwise.
- Compact space
- Connected space
- Continuity (topology)
- Metric space
- Separated sets
- Separation axiom
- Uniform space
Isotonicity: Every set is contained in its closure.
- Accessible. See T1.
- Baire space. A space X is a Baire space if it is not meagre in itself. Equivalently, X is a Baire space if the intersection of countably many dense open sets is dense.
- Base. A set of open sets is a base (or basis) for a topology if every open set in the topology is a union of sets in the base. The topology generated by a base is the smallest topology containing the base elements; this topology consists of all unions of elements of the base.
- Basis. See Base.
- Borel algebra. The Borel algebra on a space X is the smallest σ-algebra containing all the open sets.
- Borel set. A Borel set is an element of a Borel algebra.
- Boundary. The boundary of a set is the set's closure minus its interior. Equivalently, the boundary of a set is the intersection of its closure with the closure of its complement.
- Cauchy sequence. A sequence {xi} in a metric space M with metric d is called a Cauchy sequence (or Cauchy for short) if for every positive real number r, there is an integer N such that for all integers m and n greater than N, the distance d(xm, xn) is less than r.
- Clopen. A set is clopen if it is both open and closed.
- Closed set. A set is closed if its complement is a member of the topology.
- Closed function. A function from one space to another is closed if the image of every closed set is closed.
- Closure. The closure of a set is the intersection of all closed sets which contain it. It is the smallest closed set containing the original set.
- Compact. A space is compact if every open cover has a finite subcover. Compact spaces are always Lindelöf and paracompact. Compact Hausdorff spaces are therefore normal.
- Complete. A metric space is complete if every Cauchy sequence converges.
- Completely metrizable/completely metrisable. See Topologically complete.
- Completely normal. A space is completely normal if any two separated sets have disjoint neighbourhoods.
- Completely normal Hausdorff. A completely normal Hausdorff space (or T5 space) is a completely normal T1 space. (A completely normal space is Hausdorff if and only if it is T1, so the terminology is consistent.) Completely normal Hausdorff spaces are always normal Hausdorff.
- Completely regular. A space is completely regular if whenever C is a closed set and p is a point not in C, then C and {p} are functionally separated.
- Completely regular Hausdorff. See Tychonoff.
- Completely T3. See Tychonoff.
- Component. See connected component.
- Connected. A space X is connected if it is not the union of a pair of disjoint nonempty open sets. Equivalently, a space is connected if the only clopen sets are the whole space and the empty set.
- Connected component. A connected component of a space is a maximal connected subspace. The connected components of a space form a partition of that space.
- Continuous. A function from one space to another is continuous if the preimage of every open set is open.
- Contractible. A space X is contractible if the identity map on X is homotopic to a constant map. Contractible spaces are always simply connected.
- Countably compact. A space is countably compact if every countable open cover has a finite subcover.
- Cover. A collection {Ui} of sets is a cover (or covering), if their union is the whole space. An open cover is a cover consisting of open sets.
- Covering. See Cover.
- Dense. A dense set is a set that meets every nonempty open set in the space. Equivalently, a set is dense if its closure is the whole space.
- Discrete topology. See Discrete space.
- Discrete space. A space X is discrete if every set is open. We say that X carries the discrete topology.
- Entourage. See Uniform space.
- Fσ set. An Fσ set is a countable union of closed sets.
- First category. See Meagre.
- First-countable. A space is first-countable if every point has a countable local base.
- Functionally separated. Two sets A and B in a space X are functionally separated if there is a continuous function from X into the interval [0,1] with the property that A is mapped to 0 and B is mapped to 1.
- Gδ set. A Gδ set is a countable intersection of open sets.
- Hausdorff. A space is Hausdorff (or T2) if every two distinct points have disjoint neighbourhoods. Hausdorff spaces are always T1.
- Hereditary. A property of spaces is said to be hereditary if whenever a space has that property, then so does every subspace of it. For example, second-countability is a hereditary property.
- Homeomorphism. A homeomorphism from a space X to a space Y is a bijective map f : X → Y such that f and f -1 are continuous. The spaces X and Y are then said to be homeomorphic. From the standpoint of topology, homeomorphic spaces are identical.
- Homogeneous. A space X is homogeneous if for every x and y in X there is a homeomorphism f : X -> X such that f(x) = y. Intuitively speaking, this means that the space looks the same at every point. All topological groups are homogeneous.
- Homotopic maps. Two continuous maps f, g : X -> Y are homotopic if there is a continuous map H: X× [0,1] → Y, such that H(x,0) = f(x) and H(x,1) = g(x) for all x in X. Here, the space X × [0,1] is given the usual product topology. The function H is called a homotopy between f and g.
- Indiscrete space. See Trivial topology.
- Indiscrete topology. See Trivial topology.
- Interior. The interior of a set is the union of all open sets contained in it. It is the largest open set contained in the original set.
- Isolated point. A point x is an isolated point if the singleton {x} is open.
- Kolmogorov. See T0.
- Kuratowski closure axioms. The Kuratowski closure axioms are a set of axioms satisied by the closure operator:
Idempotence: The closure of the closure of a set is equal to the closure of that set. Preservation of binary unions: The closure of the union of two sets is the union of their closures. Preservation of nullary unions: The closure of the empty set is empty.
d(x, y) ≥ 0
- Limit point. A point x in X is a limit point of a subset S if every open set containing x also contains a point of S other than x itself. This is equivalent to requiring that every neighbourhood of x contains a point of S other than x itself.
- Lindelöf. A space is Lindelöf if every open cover has a countable subcover.
- Local base. A set B of neighbourhoods of a point x of a topological space X is a local base (or local basis, neighbourhood base, neighbourhood basis) at x if every neighbourhood of x contains some member of B.
- Local basis. See Local base.
- Locally compact. A space is locally compact if every point has a local base consisting of compact neighbourhoods. Locally compact Hausdorff spaces are always Tychonoff.
- Locally connected. A space is locally connected if every point has a local base consisting of connected sets.
- Locally finite. A collection of subsets of a space is locally finite if every point has a neighbourhood which meets only finitely many of the subsets.
- Locally metrizable/Locally metrisable. A space is locally metrizable if every point has a metrizable neighbourhood.
- Locally path-connected. A space is locally path-connected if every point has a local base consisting of path-connected sets. A locally path-connected space is connected if and only if it is path-connected.
- Meagre. If X is a space and A is a subset of X, then A is meagre in X (or of first category in X) if it is the countable union of nowhere dense sets. If A is not meagre in X, A is sometimes said to be of second category in X.
- Metric. See Metric space.
- Metric space. A metric space is a set M equipped with a function d : M × M → R satisfying the following conditions for all x, y, and z in M:
d(x, x) = 0 if d(x, y) = 0 then x = y (identity of indiscernibles) d(x, y) = d(y, x) (symmetry) d(x, z) ≤ d(x, y) + d(y, z) (triangle inequality) The function d is called a metric on M.
The empty set and X are in T.
- Metrizable/Metrisable. A space is metrizable if it is homeomorphic to a metric space. Metrizable spaces are always Hausdorff and paracompact (and hence normal and Tychonoff), and first-countable.
- Neighbourhood/Neighborhood. A neighbourhood of a set S is a set containing an open set which in turn contains the set S. (Note that the neighbourhood itself need not be open.) A neighbourhood of a point p is a neighbourhood of the singleton set {p}.
- Neighbourhood base. See Local base.
- Neighbourhood basis. See Local base.
- Net. A net in a space X is a map from a directed set A to X. A net from A to X is usually denoted (xα), where α is in an index variable ranging over A. Every sequence is a net, taking A to be the directed set of natural numbers with the usual ordering.
- Normal. A space is normal if any two disjoint closed sets have disjoint neighbourhoods. Normal spaces admit partitions of unity.
- Normal Hausdorff. A normal Hausdorff space (or T4 space) is a normal T1 space. (A normal space is Hausdorff if and only if it is T1, so the terminology is consistent.) Normal Hausdorff spaces are always Tychonoff.
- Nowhere dense. A nowhere dense set is a set whose closure has empty interior.
- Open cover. See Cover.
- Open set. A set is open if it is a member of the topology.
- Open function. A function from one space to another is open if the image of every open set is open.
- Paracompact. A space is paracompact if every open cover has an open locally finite refinement. Paracompact Hausdorff spaces are normal.
- Partition of unity. A partition of unity of a space X is a set of continuous functions from X to [0,1] such that any point has a neighbourhood where all but a finite number of the functions are identically zero, and the sum of all the functions on the entire space is identically 1.
- Path-connected. A space X is path-connected if for every two points x, y in X, there is a path p from x to y, i.e., a continuous map p: [0,1] → X with p(0) = x and p(1) = y. Path-connected spaces are always connected.
- Point. This term is often used to refer to elements of the topological space.
- Polish. A space is called Polish if it is metrizable with a separable and complete metric.
- Product topology. If {Xi} is a collection of spaces and X is the (set-theoretic) product of {Xi}, then the product topology on X is the weakest topology for which all the projection maps are continuous.
- Punctured neighbourhood/Punctured neighborhood. A punctured neighbourhood of a point p is a neighbourhood of p, minus {p}. For instance, the interval (-1,1) = {x : -1 < x < 1} is a neighbourhood of 0 in the real line, so the set (-1,0) ∪ (0,1) = (-1,1) - {0} is a punctured neighbourhood of 0.
- Quotient space. If X and Y are spaces and f : X → Y is any function, then the quotient space on Y induced by f is the weakest topology for which f is continuous. The most common example of this is to consider an equivalence relation on X, with Y the set of equivalence classes and f the natural projection map.
- Refinement. A cover K is a refinement of a cover L if every member of K is a subset of some member of L.
- Regular. A space is regular if whenever C is a closed set and p is a point not in C, then C and p have disjoint neighbourhoods.
- Regular Hausdorff. A space is regular Hausdorff (or T3) if it is a regular T0 space. (A regular space is Hausdorff if and only if it is T0, so the terminology is consistent.)
- Residual. If X is a space and A is a subset of X, then A is residual in X if the complement of A is meagre in X.
- Second category. See Meagre.
- Second-countable. A space is second-countable if it has a countable base for its topology. Second-countable spaces are always separable, first-countable and Lindelöf.
- Separable. A space is separable if it has a countable dense subset.
- Separated. Two sets A and B are separated if each is disjoint from the other's closure.
- Sierpinski space. Let S = {0,1}. Then T = is a topology on S, and the resulting space is called Sierpinski space. The Sierpinski space is the simplest example of a space that does not satisfy the T1 axiom.
- Simply connected. A space X is simply connected if it is path-connected and every continuous map f: S1 → X is homotopic to a constant map.
- Subbase. A set of open sets is a subbase (or subbasis) for a topology if every open set in the topology is a union of finite intersections of sets in the subbase. The topology generated by a subbase is the smallest topology containing the subbase elements; this topology consists of all finite intersections of unions of elements of the subbase.
- Subbasis. See Subbase.
- Subcover. A cover K is a subcover (or subcovering) of a cover L if every member of K is a member of L.
- Subcovering. See Subcover.
- Subspace. If X is a space and A is a subset of X, then the subspace topology on A induced by X consists of all intersections of open sets in X with A.
- T0. A space is T0 (or Kolmogorov) if for every pair of distinct points x and y in the space, either there is an open set containing x but not y, or there is an open set containing y but not x.
- T1. A space is T1 (or accessible) if for every pair of distinct points x and y in the space, there is an open set containing x but not y. (Compare with T0; here, we are allowed to specify which point will be contained in the open set.) Equivalently, a space is T1 if all its singletons are closed. T1 spaces are always T0.
- T2. See Hausdorff.
- T3. See Regular Hausdorff.
- T3½. See Tychonoff.
- T4. See Normal Hausdorff.
- T5. See Completely normal Hausdorff.
- Topological space. A topological space is a set X equipped with a collection T of subsets of X satisfying the following conditions:
The union of any collection of sets in T is also in T. The intersection of any pair of sets in T is also in T. The collection T is called a topology on X.
if U is in Φ, then U contains { (x, x) : x in X }.
- Topologically complete. A space is topologically complete if it is homeomorphic to a complete metric space.
- Topology. See Topological space.
- Totally disconnected. A space is totally disconnected if it has no connected subset with more than one point.
- Trivial topology. The trivial topology on a set X consists of precisely the empty set and the entire space X.
- Tychonoff. A Tychonoff space (or completely regular Hausdorff space, completely T3 space, T3½ space) is a completely regular T0 space. (A completely regular space is Hausdorff if and only if it is T0, so the terminology is consistent.) Tychonoff spaces are always regular Hausdorff.
- Uniform space. A uniform space is a set U equipped with a nonempty system Φ of subsets of the Cartesian product X × ''X'\' satisfying the following:
if U is in Φ, then { (y, x) : (x, y) in U } is also in Φ if U is in Φ and V is a subset of X × X which contains U, then V is in Φ if U and V are in Φ, then U ∩ V is in Φ if U is in Φ, then there exists V in Φ such that, whenever (x, y) and (y, z) are in V, then (x, z) is in U. The elements of Φ are called entourages, and Φ itself is called a uniform structure on U.
- Uniform structure. See Uniform space.
- Weak topology. The weak topology on a set, with respect to a collection of functions from that set into topological spaces, is the weakest topology on the set which makes all the functions continuous.
- Weakly hereditary. A property of spaces is said to be weakly hereditary if whenever a space has that property, then so does every closed subspace of it. For example, compactness and the Lindelöf property are both weakly hereditary properties, although neither is hereditary.
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Topology glossary."
Synonyms: DenseSynonyms: compact (adj), dim (adj), dull (adj), dumb (adj), heavy (adj), impenetrable (adj), obtuse (adj), slow (adj), thick (adj). (additional references) |
| Context | Synonyms within Context (source: adapted from Roget's Thesaurus). |
Assemblage | Adjective: assembled; Verb: closely packed, dense, serried, crowded to suffocation, teeming, swarming, populous; as thick as hops; all of a heap, fasciculated cumulative. |
Density | Verb: be dense. Adjective: become solid, render solid. Adjective: solidify, solidate; concrete, set, take a set, consolidate, congeal, coagulate; curd, curdle; lopper; fix, clot, cake, candy, precipitate, deposit, cohere, crystallize; petrify. (harden). |
Adjective: dense, solid; solidified. Verb: caseous; pukka; coherent, cohesive; compact, close, serried, thickset; substantial, massive, lumpish; impenetrable, impermeable, nonporous, imporous; incompressible; constipated; concrete. (hard); knotted, knotty; gnarled; crystalline, crystallizable; thick, grumous, stuffy. | |
Unintelligibility | Obscure, dark, muddy, clear as mud, seen through a mist, dim, nebulous, shrouded in mystery; opaque, dense; undiscernible; (invisible); misty; (opaque); hidden; latent. |
| Source: adapted from Roget's Thesaurus. | |
| Domain | Usage | |
Screenplays | Even though I'm not too bright, I am rather dense. I have a fat, white body, and I don't have a tan, But when I put on leather pants, I am a Macho Man (Whose Line Is It Anyway?; writing credit: Dan Patterson; Mark Leveson) No matter how dense. (Stargate SG-1; writing credit: Robert C. Cooper; Brad Wright) | |
Source: compiled by the editor from various references; see credits. | ||
| Domain | Title | ||
Books |
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Music |
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High Tech |
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Source: compiled by the editor from various references; see credits. | |||
| Thumbnail | Description & Credit | Thumbnail | Description & Credit |
 | Shown is a side-by-side of two normal mammograms showing the difference between a dense breast (left) and a fatty breast (right). The dense breast is that of a woman aged 39, the fatty breast is that of a 59-year old woman. Abnormal lesions are easier to detect and diagnose in a fatty breast making mammography more accurate. Credit: Unknown photographer/artist. |  | Shown are 2 mammograms of normal dense breasts. A dense breast makes a mammographic image difficult to read when and if cancerous lesions are present. These images are typical of breast of younger women. Credit: Unknown photographer/artist. |
 | Cut surface of gross autopsy specimen of liver showing diffuse pallor due to dense network of scar tissue (fibrosis, cirrhosis). Scarring has occurred in response to chronic injury from alcohol abuse. Credit: CDC. |  | The chorionic villi are enlarged, and contain dense laminated connective tissue, and the capillaries distributed throughout the villi are compressed by this connective tissue proliferation; H&E stain; magnification 450X. Credit: CDC. |
 | Dense Smoke Plumes Visible From Western Fires. Credit: NASA. |  | An image of a star-forming region in the 30 Doradus nebula, surrounding the dense star cluster ... Credit: NASA. |
 | Astronomers have used NASA's Hubble Space Telescope to peer into the center of a dense swarm ... Credit: NASA. |  | The Parana River delta is a huge forested marshland about 32km northeast of Buenos Aires, Argentina. The area is a very popular tour destination. Guided boat tours can be taken into this vast labyrinth of marsh and trees. The Parana River delta is one of the world's greatest bird-watching destinations. This image highlights the striking contrast between dense forest and wetland marshes, and the deep blue ribbon of the Parana River. Credit: NASA. |
 | Dixon Bay - Phragmites boom as seen from the air. This image was taken in dense fog. Credit: NOAA Restoration Center. |  | Dixon Bay, the southwest pass levee and base camp site in dense fog. Credit: NOAA Restoration Center. |
Source: pictures compiled by the editor from various references; see picture credits. | |||
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| "Clouds" by Chico Iuliano Commentary: "Dense cloud formation after summer storm." | "Forest Waterfalls 1" by Kenn W. Kiser Commentary: "Water cascading down moss covered rocks beneath a dense forest canopy." |
Source: photographs selected by the editor, with permission from the photographers. | |
| Author | Quotation |
W. Stanley Jevons | Value is the most invincible and impalpable of ghosts, and comes and goes unthought of while the visible and dense matter remains as it was. |
Source: compiled by the editor from various references. | |
| Title | Author | Quote |
Scarlet Letter | Hawthorne, Nathaniel | So powerful was its radiance, that it thoroughly illuminated the dense medium of cloud betwixt the sky and earth |
Les Miserables | Hugo, Victor | The planet, in fact, was at that moment very near the horizon and was crossing a dense bed of mist which gave it a horrid redness |
Portrait of the Artist as a Young Man | Joyce, James | They streamed upwards before his anguished eyes in dense and maddening fumes and passed away above him till at last the air was clear and cold again |
Walden | Thoreau, Henry David | It seemed as if I might next cast my line upward into the air, as well as downward into this element, which was scarcely more dense. |
Source: compiled by the editor from various references. | ||
| Subject | Topic | Quote |
Health | Its structure is less dense. (references) | |
Higher magnification showing typical dense laminated hyaline membranes. (references) | ||
Beta amyloid -- a protein found in dense deposits forming the core of neuritic plaques. (references) | ||
Business | Secondly, the majority of the cars are in urban areas, where the population is most dense, and the pollution is at its worst. (references) | |
Economic History | West Bank | In Gaza, land prices remain high because of the dense population and extreme land scarcity. (references) |
Democratic Republic of Congo | Terrain: Varies from tropical rainforests to mountainous terraces, plateau, savannas, dense grasslands, and mountains. (references) | |
Lithuania | The Nemunas River and its dense network of tributaries connect the major inland cities and serve as a great asset to internal shipping. (references) | |
Source: compiled by the editor from ICON Group International, Inc.; see credits. | ||
| Speaker | Term | Phrase(s) |
Ronald Reagan | 1981-1989 | The air is soft, but forty years ago at this moment, the air was dense with smoke and the cries of men, and the air was filled with the crack of rifle fire and the roar of cannon. |
Source: compiled by the editor from various references. | ||
| "Dense" is generally used as an adjective (general or positive) -- approximately 100.00% of the time. "Dense" is used about 927 times out of a sample of 100 million words spoken or written in English. Its rank is based on over 700,000 words used in the English language. Some parts-of-speech are not covered due to the samples used by the British National Corpus. (note: percents less than one-hundredth of one percent have been omitted) |
| Parts of Speech | Percent | Usage per 100 Million Words | Rank in English |
| Adjective (general or positive) | 100% | 927 | 7,777 |
Source: compiled by the editor from several corpora; see credits.
| The following table summarizes the usage of "dense" based on a population census conducted in the United States. Ranks and frequencies are based on all names reported and classified. |
| Name | Usage/Gender | Usage per 100 million Persons | Rank in USA |
| Dense | Last name | 170 | 52,201 |
| Source: compiled by the editor from several corpora; see credits. | |||
Expressions using "dense": be utterly dense ♦ become dense ♦ dense blazing star ♦ dense cirrus ♦ dense fog ♦ dense pack ♦ dense upper cloud ♦ make dense ♦ making dense. Additional references. | |
| Hyphenated Usage | |
Beginning with "dense": dense-celled, dense-grained, dense-growing, dense-leaved elodea, dense-textured. | |
Ending with "dense": electron-dense. | |
| Source: compiled by the editor from various references; see credits. | |
| The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com. |
| Language | Translations for "dense"; alternative meanings/domain in parentheses. | |
Albanian | kokëtrashë (blockhead, clod, daft, dim witted, dunderhead, fat, fathead, fat-witted, loggerhead, Looby, lubber-head, thick-head, thick-headed, thick-witted), i trashë (bearish, clumsy, coarse, coarse grained, crass, deep, dullish, dumb, dummy, fat, fatuous, fool, full-bodied, full-fed, gross, gruff, lardy, oafish, obese, obtuse, puddingy, purblind, ropy, rough and ready, round, roundabout, slapstick, slow witted, slowcoach, stupid, tactless, thick, uncouth, viscous, wooden, wooden-headed), i thellë (abstruse, black, deep, distant, heavy, intense, out of the way, profound, saturated, visceral), i pakthjellët, i ngjeshur (close, compact, compressed, concise, concisely, impermeable, serried, stiff, succinct), i dendur (frequent, hourly, impermeable, murky, numerous, thick), budalla (anserine, anserous, asinine, ass, blunderhead, booby, brainless, cabbage-head, chuckle-head, clod, cloddish, clod-poll, cockeyed, daft, Dick, dim witted, dimwit, dumb, dumbbell, fathead, fool, gaby, gaga, goof, goofy, goon, Goosey, gowk, half wit, idiot, idle-headed, imbecile, jobbernowl, jolterhead, josser, juggins, loon, mindless, moke, muff, mutton head, mutton-headed, nerd, nincompoop, ninny, ninny-hammer, nitwit, noddy, noodle, numskull, nut, owl, pin head, pumpkin-head, sheep's head, silly, slow witted, softhead, soft-headed, softy, spoony, stupid, tomfool, tom-noddy, witless). (various references) | |
Arabic | كثيف (bushy, concentrated, heavy, intense, intensive, thick, thickish, thickset, tufty, turbid), كث (brushy, bushy, thick), مغفل (dolt, dullard, dumb, dunce, dunderhead, dupe, fat-witted, fool, foolish, licentious, moronic, mutton-headed, nincompoop, ninny, nitwit, numskull, pointless, rubbishy, silly, simple, simple minded, simpleton, soft-headed, softy, stupid, thick-headed, weak-minded), غبي (asinine, dick, dim witted, drip, dull, dullard, empty headed, fathead, jerk, lacking, lunatic, moronic, opaque, patsy, plonker, sap, slow witted, soppy, stupid, thick, thick-headed, thickish, thick-witted, tomfool, twerp, uncivil, unintelligent, wooden), أبله (asinine, ass, brainless, coot, cuckoo, daw, dim witted, dullard, fatuous, feeble minded, gaga, gawky, goofy, half-witted, idiotic, imbecile, lemon, mad, patsy, screwed, sheepish, silly, sod, sodden, softy, soppy, stick in the mud, stupid, vacant, vacuous, wood-headed), شديد (acute, biting, boisterous, brusque, cordial, crass, excruciating, extreme, forte, intense, intensive, keen, lusty, rigorous, shrill, stern, strong, telling, tempestuous, terrible, vehement, vicious, violent). (various references) | |
Bulgarian | тъмен (black, blackish, cimmerian, dark, darkling, darksome, deep, dusk, dusky, esoteric, fuscous, inky, low-browed, murky, neutral, obscure, opaque, overcast, sad, shady, somber, sombre, sooty, unlit), тъп (asinine, blunt, bovine, cloddish, crass, dim, dim witted, dopey, dopy, dull, dumb, gross, hollow, impenetrable, lumpish, muddle-headed, obtuse, opaque, puddingy, purblind, slow, sodden, stupid, thick, thick-headed, thick-witted, torpid, unpointed, wooden-headed), тежък (cumbrous, difficult, distressing, faint, grave, grievous, grinding, hammering, hard, heavy, hefty, high, hulking, labored, laborious, laboured, leaden, lumping, lumpish, lumpy, massive, massy, muggy, onerous, painful, plodding, ponderous, robust, rugged, sad, severe, shrewd, sledgehammer, slow, smart, smashing, soggy, solemn, sore, stiff, stodgy, taxing, thorny, tight, tough, traumatic, trying, unwieldy, uphill, weighty), компактен (compact, compacted, indiscrete), гъст (bushy, double, full-bodied, gross, heavy, impenetrable, rich, stiff, stringy, thick, turbid, viscous), глупав (anserine, asinine, blackhearted, blithering, blockish, blunt, brainless, cockscomb, crass, daft, dim witted, dopey, dopy, dozy, fat, fatuous, flat-footed, fool, foolish, footless, footling, goofy, hebetate, inane, inept, irrational, lame brain, lumpish, lunatic, mindless, mutton-headed, nonsensical, off one's nut, piffling, puddingy, puerile, purblind, sappy, senseless, silly, simple, slow witted, stockish, stupid, thick, thick-skulled, thick-witted, tomfool, trumpery, unintelligent, unwise, vacant, vacuous, whacked, witless, wooden-headed), бавен (creeping, deliberate, dilatory, languid, leaden, leisurely, lingering, long, lumpish, pernickety, plodding, slack, slow, sluggish, stagnant, stopping, tardigrade, tardy, unready), плътен (closely-knit, compact, compacted, consistent, fruity, open, orotund, resonant, rich, rotund, round, solid, sonorous, stiff, thick), дебел (ample, corpulent, fat, obese, porky, puffy, pursy, stout, thick). (various references) | |
Chinese | 萃 (assemble, collect, collection, gather, grassy, thick), 鬱 (melancholy), 稠密 , 稠 (crowded, many, thick), 濃 (concentrated), 密集 (intensive), 密 (close, confidential, secret, thick). (various references) | |
Czech | zabednìný (crass, thickheaded), tupý (blunt, brutish, cloddish, dozy, dull, empty headed, indocile, mindful, obtuse, pointless, stolid, stupid, thickheaded, torpid, vacant, vacuous), hustý (bushy, close, close-grained, compact, heavy, thick, turbid). (various references) | |
Danish | tæt (concentrated, narrow, thick). (various references) | |
Dutch | gebonden (concentrated, thick), dik (bold, concentrated, corpulent, fat, fatty, greasy, thick), dicht (closed, compact, concentrated, shut, thick). (various references) | |
Esperanto | densa (concentrated, thick). (various references) | |
Faeroese | tjúkkur (abdominous, concentrated, fat, stout, thick), tættur (concentrated, thick). (various references) | |
Farsi | متراکم (Aggregate, Compact, Cumulous, Voluminous), چگال , غلیظ (Caliginous, Heavy, Slab, Thick), خنگ (Stupid), انبوه (Aggregate, Bike, Clump, Collective, Congeries, Gross, Heap, Luxuriant, Rank, Riffraff, Thick, Voluminous), احمق (Asinine, Cockeyed, Cockscomb, Daft, Dopey, Dult, Fool, Gawky, Gosling, Hick, Inane, Loggerhead, Loony, Natural, Nincompoop, Noodle, Sawney, Senseless, Simpleton, Sot, Spoony, Stupid, Sucker, Unmeaning). (various references) | |
Finnish | tiheä (close, concentrated, cramped, frequent, thick). (various references) | |
French | dense. (various references) | |
German | dicht (close, closely, compact, concentrated, consistent, densely, densly, heavy, leakproof, murky, serried, shut, solid, thick, thickly, thickset, tight, tightly), gedrängt (concentrated, concise, crushed, packed, terse, thick, thronged, thrusted). (various references) | |
Greek | κουτόσ (obtuse, purblind, stupid), πυκνόσ (compact, cramped, serried, thick, thickset), πυκνός (thick), δασύς (hirsute, thcik). (various references) | |
Hebrew | מעובה (condensed, thickened), מטומטם (bird brained, dopey, dullard, gaga, goon, half wit, halfwitted, imbecile, lame brain, lout, muddleheaded, oafish, obtuse, sot, stupid, thickheaded, woodenheaded), עבות (cable, cord, interwoven, rope, shaggy, thick, tie), אוילי (asinine, fatuous, foolish, preposterous, silly, sottish, stupid), דחוס (compact, compressed, compression, crowded, pressed, thick, tight), צפוף (compacting, congested, crowded, making dense, packed, thick, thickening, thickset), סמיך (clogged, thick, turbid). (various references) | |
Hungarian | sûrû (concentrated, consistent with, frequent, thick, thickish, tufty). (various references) | |
Indonesian | tebal (thick), padat (congest, thicky). (various references) | |
Italian | denso (concentrated, fraught, full, soupy, thick). (various references) | |
Japanese Kanji | 鬱蒼たる (luxuriant, thick), 鬱蒼 (thick), 鬱然 (gloomy, thick), 綢密 (crowded, populous, thick), 稠密 (crowded, populous, thick), 朦朦 (dim, thick), 欝蒼たる (luxuriant, thick), 濃い (strong, thick), 濛濛たる (dim, thick, vague), 濛々たる (dim, thick, vague), 密集 (close formation, crowd). (various references) | |
Japanese Katakana | うつぜん (gloomy, thick), うっそうたる (luxuriant, thick), うっそう (thick), こい (ancient ways, bad faith, carp, entreaty, intention, love, purpose, request, strong, tender passion, the feelings of the ancients, thick), もうもうたる (dim, thick, vague), もうもう (dim, thick), みっしゅう (close formation, crowd), ちゅうみつ (crowded, populous, thick), ちょうみつ (crowded, populous, thick). (various references) | |
Korean | 조밀한. (various references) | |
Manx | gloo (close, close-grained; warp, close-set, close-textured, fine-drawn, firm, forest, forest), jam, serried, side bar, thick, thick as fog, thickset, thickset of hedge, tight, tight as weave). (various references) | |
Norwegian | dum, tett. (various references) | |
Pig Latin | enseday.(various references) | |
Portuguese | denso (close, compact, concentrated, consistent, crass, heavy, serried, solid, stiff, thick), espesso (bushy, concentrated, consistent, corpulent, crass, fat, rank, sticky, stiff, succulent, thick, thick-set, tufty), compacto (close, compact, compacted, concentrated, massive, serried, solid, thick, well-knit, well-set), cerrado (bushy, closed, compact, concentrated, corral, rank, serried, shut, thick, thick-set, tight, vegetation of the brazilian interior). (various references) | |
Romanian | des (abundant, copious, densely, frequent, frequently, often, regularly, repeated, repeatedly, rife, thick), dens (Cloggy, close, compact, densely, gross, stiff, thick, tight), tâmpit (addle, addle-brained, awfully, blunt, brain-hampered, chucklehead, clod, crass, daft, dim, donkey, Dotty, duffer, dull, dumb, dumb bell, fiddling, fool, idiot, imbecile, jay, lubber-head, lunkhead, mutt, piffling, pillock, sap, squarehead, stupid, sucker), stufos (beetle, branchy, bushy, thick), silhui (desert, wild), redus (backward, low, obtuse, reduced, scanty, small, stupid), opac (dark, dull, mat, opaque), obtuz (blunt, dull, lumpish, narrow minded, obtuse, opaque), mare (acred, adult, ample, big, boundless, brine, broad, bulky, deep, enormous, famous, fat, flux, foam, gorgeous, grand, grandiose, great, gross, hard, heavy, high, howling, huge, hulking, illustrious, immense, important, keen, king size, large, large scale, long, loose, major, man-sized, massy, mighty, open, pond, ponderous, pretty, renowned, rich, roomy, sea, sensible, severe, spacious, stupendous, tall, thick, thundering, vast, violent, voluminous, wide), mãrginit (finite, illiberal, limited, little, local, low-minded, narrow, narrow minded, obtuse, parochially, restricted, small), compact (close, compact, compactly, densely, firm, indiscrete, massive, serried, solid, stiff, tight). (various references) | |
Russian | плотный (burly, close, compact, hard, massive, solid, thick, tight, tough). (various references) | |
Scottish | tiugh (closely set, in quick succession, thick). (various references) | |
Serbo-Croatian | zbijen (compact, compressed, serried), neproziran (mat, opaque), gust (bushy, stiff, thick), glup (anserine, asinine, brainless, calvish, cloddish, dozy, dull, dumb, fat-witted, jerk, obtuse, sheepish, silly, stupid, unintelligent), bujan (ample, curvaceous, exuberant, lush, luxuriant, rampant, rank, riotous, thick, torrential, wild). (various references) | |
Spanish | denso (closely, heavy, light, solid, thick, thickset, tight). (various references) | |
Swedish | tät (close, compact, frequent, head, loaded, murky, proof, thick, tight, vanguard, well heeled, well to do). (various references) | |
Turkish | yoğun (busy, compact, concentrated, crash, gross, hectic, intense, intensive, peasoupy, rich, rush hour, stiff, thick, turbid), sıkışık (congested, constricted, cramped, crowded, hard pressed, jammed, pressed, serried), sık (close, frequent, often, thick, thickly), negatifi şeffaf olmayan, koyu (black, crusted, darkish, deep, dyed in the wool, intense, peasoupy, sable, sad, saturated, somber, sombre, stiff, strong, tenebrous, thick), kalın kafalı (bonehead, bone-headed, chucklehead, dim, dull, fat-headed, mutton head, numskull, obtuse, slow on the uptake, slow witted, thick, thickheaded, thick-headed, thickskulled, thickwitted, wooden, woodenheaded), kalın (coarse, grave, stout, thick). (various references) | |
Turkmen | dykyz (packed), яygy (deep, thick), яygjam, goяy (thick), goяry (thick), gьr (thick). (various references) | |
Ukrainian | щільний (air proof, compact, massive, sclerotic, thick, tight, turbid), цілковитий (absolute, abysmal, all out, crass, exquisite, orbicular, out and out, outright, pure, right-down, teetotal), тупий (asleep, bat-eyed, blockish, blunt, dim witted, doughy, dull, logy, obtuse, opaque, oscitant, pointless, slow witted, wooden, wooden-headed), компактний (compact, compacted), густий (creamy, grouty, opaque, solid, stodgy, thick, velvet, velvety), глибокий (abstruse, abysmal, cordial, deep, deep rooted, deep-drawn, deep-seated, intensive, profound), надзвичайний (abysmal, dreadful, egregious, exceeding, exceptional, extreme, prodigious, snorting, uncommon, unusual, water, woundy), дурний (anserine, asinine, balmy, bat-minded, bovine, cloddish, cracked, daft, fatuous, featherbrained, fool, foolish, gawky, goofy, harebrained, idle-headed, mindless, mutton-headed, nonsensical, oafish, obtuse, opaque, owlish, pigheaded, sappy, sottish, spoony, stockish, stupid, thoughtless). (various references) | |
Vietnamese | dày đặc, rậm rạp đần độn, ngu đần (beef-witted, boeotian, doltish, dull, dully, mutton-headed, nitwitted, stupid, witless), chặt đông đúc. (various references) | |
Welsh | dwys (deep, grave, intense). (various references) | |
| Source: compiled by the editor from various translation references. | ||
| Language | Period | Translations |
| Latin | 500 BCE-Modern | adstrictos, adstrictus, arta, artis, arto, artum, artus, condensa, condensam, condensis, condensisque, confersam, confertis, crassus, densus, profundus, solidae, solidam, solidarentur, solidatae, solide, solido, solidos, solidum, solidus, spissos. (various references) |
| Old French | 900-1400 | solide. (various references) |
| Source: compiled by the editor from various references. | ||
Derivations | |
Words beginning with "dense": densely, denseness, densenesses, denser, densest. (additional references) | |
Words ending with "dense": condense, recondense, ultradense. (additional references) | |
Words containing "dense": condensed, condenser, condensers, condenses, goldenseal, goldenseals, recondensed, recondenses. (additional references) | |
| |
"Dense" is suggested in spellcheckers for the following: danae, Danase, danes, danise, danse, Danseco, dansez, Dansken, Danso, Danusia, Danzega, dease, deene, deens, deese, demnese, denase, dence, Denco, denden, dene, D'enea, denes, denie, denise, denke, Denken, dennie, Densan, denses, Densil, densis, denso, Densu, densum, densy, Dentzel, Denyse, denzen, Denzin, Depse, dersu, Desa, dese, desn, Desse, Deyns, Deysel, Dezsoe, Dienste, dinse, Djenne, dns, donse, Donsey, Donzel, duense, dunse, dunze, ense, fense, wense. (additional references) | |
| Source: compiled by the editor, based on several corpora (additional references). | |
| # of Phoneme Matches | Pronunciation | Word(s) rhyming with "dense" (pronounced de"ns) |
| 4 | d e" n s | condense. |
| 3 | -e" n s | commence, commonsense, defence, defense, dispense, expense, fence, hence, immense, incense, intense, nondefense, offense, pence, pretense, sense, Spence, suspense, tense, thence, whence. |
Source: compiled by the editor (additional references); see credits. | ||
Scrabble® Enable2K-Verified Anagrams | |
Direct Anagrams: denes, needs. | |
| Words within the letters "d-e-e-n-s" | |
-1 letter: dees, dene, dens, ends, need, seed, seen, send, sene, sned. | |
-2 letters: dee, den, eds, end, ens, nee, see, sen. | |
-3 letters: de, ed, en, es, ne. | |
| Words containing the letters "d-e-e-n-s" | |
+1 letter: censed, denies, denser, dienes, donees, emends, enders, endues, ensued, lensed, mensed, nested, resend, seined, sended, sender, sensed, tensed. | |
+2 letters: aniseed, bendees, benders, blendes, dasheen, deadens, deafens, debones, decanes, decerns, deepens, deewans, defends, defense, defines, demeans, dements, demesne, dengues, deniers, denotes, densely, densest, denudes, depends, depones, descend, descent, deskmen, destine, detents, deveins, donnees, dudeens, duendes, dueness, encased, encodes, endears, endites, endives, endless, endorse, endures, endwise, enisled, enneads, ensiled, enskied, enskyed, ensured, expends, extends, fenders, flensed, genders, indenes, indexes, legends, lenders, linseed, menders, needers, needles, nereids, nestled, reddens, redness, relends, remends, renders, resends, resined, scended, scented, seconde, seeding, seedman, seedmen, senders, sheened, sidemen, sinewed, skeined, slender, sneaked, sneaped, snedded, sneered, sneezed, snelled, speaned, spender, spondee, standee, tenders, unsewed, unsexed, vendees, venders, vendues, wedelns. | |
| Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro. | |
| 1. Definition 2. Synonyms 3. Crosswords 4. Usage: Modern | 5. Usage: Commercial 6. Images: Slideshow 7. Images: Photo Album 8. Images: Digital Art | 9. Quotations: Familiar 10. Quotations: Fiction 11. Quotations: Non-fiction 12. Quotations: Speeches | 13. Usage Frequency 14. Names: Frequency 15. Expressions 16. Expressions: Internet | 17. Translations: Modern 18. Translations: Ancient 19. Derivations 20. Rhymes | 21. Anagrams 22. Bibliography |
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