Hintikka set
neighborhood
closed set
T₁
Alexandrov topology
intersect
interlayering
metaset
overlap
mathematical group
group
generic property
element
non-empty
structure
countable set
semiregular
little black dress
holomorphic
open cover
segment
section
quintuplicate
mode
file system
patent
hyperconnected
ambient
basket
diffeology
cat's cradle
quotient set
mathematical structure
transversal
cofinite topology
kip
Grothendieck topology
intersection
Russell's paradox
semifractal
show window
showcase
σ-compact
spacer
doubleton
Lindelöf covering theorem
open
unfold
disjoint set
spread out
set theory
regular space
semigroup
quasi-compact
bitopological
spread
proper
Kripke frame
-ate
Cantor-Bendixson theorem
directed
various
hyperconnection
fundamentalism
monad
composition
union
cutensil
assorted
polyfold
supporting structure
σ-finite measure
interset
multinumber
setoid
iterable
continuous
normal space
member
symmetric difference
extriangulated
this, that, and the other
trivial topology
alphabet
layout
axiom of pairing
stringful
sheaf
intricate
direct product
sum
unit
join
ring
acyclic
open-chain
T₁
non-empty
semiregular
holomorphic
patent
hyperconnected
ambient
σ-compact
quasi-compact
bitopological
proper
directed
various
assorted
interset
continuous
extriangulated
intricate
acyclic
open-chain
Hintikka set
neighborhood
closed set
Alexandrov topology
interlayering
metaset
mathematical group
group
generic property
element
structure
countable set
little black dress
open cover
segment
section
quintuplicate
mode
file system
basket
diffeology
cat's cradle
quotient set
mathematical structure
transversal
cofinite topology
kip
Grothendieck topology
intersection
semifractal
show window
showcase
spacer
doubleton
disjoint set
set theory
regular space
semigroup
Kripke frame
hyperconnection
fundamentalism
monad
composition
union
cutensil
polyfold
supporting structure
σ-finite measure
multinumber
setoid
iterable
normal space
member
symmetric difference
trivial topology
alphabet
layout
axiom of pairing
stringful
sheaf
direct product
sum
unit
join
ring
intersect
overlap
open
unfold
spread out
spread
noun
- A set containing an open set which contains some specified point.
- Alternatively: An open set which contains some specified point.
- A set containing an open ball which contains a specified point.
- The set of all the vertices adjacent to a given vertex.
- The residential area near one's home.
- The inhabitants of a residential area.
- A formal or informal division of a municipality or region.
- The infinitesimal open set of all points that may be reached directly from a given point.
- An approximate amount.
- The quality of physical proximity.
- Alternatively: An open ball which contains some specified point.
noun
verb
- Of sets: to have some elements in common.
- To have an area, range, character or function in common.
- To have some similar nucleotide sequences.
- To extend over and partly cover something.
noun
- Something that overlaps or is overlapped
- a situation in the game where an attacking line has more players in it than the defensive line coming to meet it. The attacking side may exploit the overlap by using their superior numbers to break the opposition's defensive line. If attackers outnumber defenders by more than one player this is often termed a two man overlap or three man overlap, etc. If the attacking side fails to break through usually due to poor execution, they are said to waste an overlap.
- The payment of a spouse's or other dependant's annuity benefits concurrently with the member's benefits, on death of the member during the guarantee period.
noun
- A property that is true in some dense open subset of a given set.
- A property that is true almost everywhere in a given set (i.e., the set of points at which the property is not true is either of measure zero or a subset of a set of measure zero).
- Used other than figuratively or idiomatically: see generic, property.
noun
- One of the objects in a set.
- A small part of the whole.
- A required aspect or component of a cause of action. A deed is regarded as a violation of law only if each element can be proved.
- Atmospheric forces such as strong winds and rains.
- Any one of the simplest chemical substances that cannot be decomposed in a chemical reaction or by any chemical means and made up of atoms all having the same number of protons.
- An orbital element; one of the parameters needed to uniquely specify a particular orbit.
- One of the four basic building blocks of matter in theories of ancient philosophers and alchemists: water, earth, fire, and air.
- A basic, simple substance out of which something is made, raw material.
- The basic principles of a field of knowledge, basics, fundamentals, rudiments.
- One of the simplest or essential parts or principles of which anything consists, or upon which the constitution or fundamental powers of anything are based.
- A small but present amount of a quality, a hint.
- A group of people within a larger group having a particular common characteristic.
- One of the conceptual objects in a markup language, usually represented in text by tags.
- A factor, one of the conditions contributing to a result.
- Any of the teeth of a zip fastener.
- A component in electrical equipment, often in the form of a coil, having a high resistance, thereby generating heat when a current is passed through it.
- An infinitesimal interval of a quantity, a differential.
- The bread and wine taken at Holy Communion.
- A place or state of being that an individual or object is best suited to.
- One of the entries of a matrix.
noun
- A set along with a collection of finitary functions and relations.
- The overall form or organization of something.
- The underlying shape of a solid.
- Underwater terrain or objects (such as a dead tree or a submerged car) that tend to attract fish
- A body, such as a political party, with a cohesive purpose or outlook.
- A cohesive whole built up of distinct parts.
- Several pieces of data treated as a unit.
- A set of rules defining behaviour.
verb
noun
- one of several parts or pieces that fit with others to constitute a whole object
- a self-contained part of a larger composition (written or musical)
- a very thin slice (of tissue or mineral or other substance) for examination under a microscope
- a distinct region or subdivision of a territorial or political area or community or group of people
- a small team of policemen working as part of a police platoon
- one of the portions into which something is regarded as divided and which together constitute a whole
- a land unit equal to 1 square mile
- (geometry) the area created by a plane cutting through a solid
- a small class of students who are part of a larger course but are taught separately
- a division of an orchestra containing all instruments of the same class
- a small army unit usually having a special function
- a specialized division of a large organization
- a segment of a citrus fruit
- the cutting of or into body tissues or organs (especially by a surgeon as part of an operation)
verb
noun
- The openwork between the solid parts of a pattern.
- A series of settings on a device used for a specific purpose.
- A verb form that depends on how its containing clause relates to the speaker’s or writer’s wish, intent, or assertion about reality.
- The most frequently occurring value in a distribution
- A variation in gameplay, such as a difficulty level.
- One of several common scales in modern Western music, one of which corresponds to the modern major scale and one to the natural minor scale.
- Style or fashion; popular trend.
- That which exists only as a quality of substance.
- One of various related sets of rules for processing data; more generally, any state of the system associated with certain behaviours.
- A particular means of accomplishing something.
- One of several ancient Greek scales.
- A particular state of being, or frame of mind.
- A state of a system that is represented by an eigenfunction of that system.
- In lace-making, a small decorative piece inserted into a pattern.
adj
- Conspicuous; open; unconcealed.
- Protected by a legal patent.
- Of flour: fine, and consisting mostly of the inner part of the endosperm of the grain from which it is milled.
- To which someone has, or seems to have, a claim or an exclusive claim; also, inventive or particularly suited for.
- Explicit and obvious.
- Of a branch, leaf, etc.: outspread; also, spreading at right angles to the axis.
- Open, unobstructed; specifically, especially of the ductus arteriosus or foramen ovale in the heart, having not closed as would have happened in normal development.
- Of an infection: in the phase when the organism causing it can be detected by clinical tests.
verb
- To (successfully) register (a new invention) with a government agency to obtain the sole privilege of its manufacture, sale, and use for a specified period.
- To obtain (over a piece of real property) a specific grant of ownership.
- To be closely associated or identified with (something); to monopolize.
noun
- The combination of seven bets on three selections, offering a return even if only one bet comes in.
- A characteristic or quality that one possesses; in particular (hyperbolic) as if exclusively; a monopoly.
- A licence or (formal) permission to do something.
- An official document granting an appointment, privilege, or right, or some property or title; letters patent.
- A grant of a monopoly over the manufacture, sale, and use of goods.
- A specific grant of ownership of a piece of real property; a land patent.
- A product in respect of which a patent (sense 1.2.2) has been obtained.
- A declaration issued by a government agency that the inventor of a new invention has the sole privilege of making, selling, or using the claimed invention for a specified period.
noun
- A set or collection of intangible things.
- A lightweight container, generally round, open at the top, and tapering toward the bottom.
- The game of basketball.
- A dance movement in some line dances, where men put their arms round the women's lower backs, and the women put their arms over the men's shoulders, and the group (usually of four, any more is difficult) spins round, which should result in the women's feet leaving the ground.
- The act of putting the ball through the basket, thereby scoring points.
- The bulge of the male genitals seen through clothing.
- A wire or plastic container similar in shape to a basket, used for carrying articles for purchase in a shop.
- A drogue (or para-drogue) in the probe-and-drogue refueling method
- In an online shop, a listing of a customer's chosen items before they are ordered.
- A circular hoop, from which a net is suspended, which is the goal through which the players try to throw the ball.
- The gondola or wicker basket suspended from the balloon, in which the pilot and passengers travel.
- The male genitalia and region surrounding it.
- The bell or vase of the Corinthian capital.
- Bastard.
verb
noun
- A bundle or set of such hides.
- The unit of currency in Laos, divided into 100 att, symbol ₭, abbreviation LAK.
- A basic skill or maneuver in artistic gymnastics on the uneven bars, parallel bars, high bar and still rings used, for example, as a way of mounting the bar in a front support position, or achieving a handstand from a hanging position. In its basic form, the legs are swung forward and upward by bending the hips, then suddenly down again, which gives the upward impulse to the body.
- A very untidy house or room.
- A unit of force equal to 1000 pounds-force (lbf) (4.44822 kilonewtons or 4448.22 newtons); occasionally called the kilopound.
- The leather made from such hide; kip leather.
- A place to sleep; a rooming house; a bed.
- A sharp-pointed hill; a projecting point, as on a hill.
- A unit of weight, used, for example, to calculate shipping charges, equal to half a US ton, or 1000 pounds.
- The untanned hide of a young or small beast, such as a calf, lamb, or young goat.
- Sleep, snooze, nap, forty winks, doze.
- A unit of mass equal to 1000 avoirdupois pounds.
- A piece of flat wood used to throw the coins in a game of two-up.
verb
noun
- The set containing all the elements that are common to two or more sets.
- The junction of two (or more) paths, streets, highways, or other thoroughfares.
- The element where two or more straight lines of synchronized skaters pass through each other.http://www.isu.org/vsite/vcontent/content/transnews/0,10869,4844-128590-19728-18885-295370-3787-4771-layout160-129898-news-item,00.html
- The pullback of a corner of monics.
- The point or set of points common to two geometrical objects (such as the point where two lines meet or the line where two planes intersect).
- Any overlap, confluence, or crossover.
noun
- An object inserted to hold a space open in a row of items, e.g. beads or printed type.
- An instrument for reversing a telegraphic current, especially in a marine cable, to increase the speed of transmission.
- A type of add-on device used by an asthmatic person to increase the effectiveness of a metered-dose inhaler.
- A forgetful person; one who spaces out.
- A bushing.
- A person who works or lives in space.
verb
- spread out or open from a closed or folded state
- cause to open or to become open
- start to operate or function or cause to start operating or functioning
- become open
- begin or set in action, of meetings, speeches, recitals, etc.
- make available
- become available
- have an opening or passage or outlet
- make the opening move
- afford access to
- display the contents of a file or start an application as on a computer
adj
- with no protection or shield
- open to or in view of all
- not having been filled
- accessible to all
- not defended or capable of being defended
- (of textures) full of small openings or gaps
- having no protecting cover or enclosure
- not brought to a conclusion; subject to further thought
- not sealed or having been unsealed
- without undue constriction as from e.g. tenseness or inhibition
- not requiring union membership
- possibly accepting or permitting
- affording free passage or view
- openly straightforward and direct without reserve or secretiveness
- ready for business
noun
- a clear or unobstructed space or expanse of land or water
- where the air is unconfined
- a tournament in which both professionals and amateurs may play
- information that has become public
adj
verb
- spread out or open from a closed or folded state
- distribute or disperse widely
- become distributed or widespread
- spread across or over
- cause to become widely known
- become widely known and passed on
- strew or distribute over an area
- move outward
- cover by spreading something over
- distribute over a surface in a layer
adj
- distributed or spread over a considerable extent
- prepared or arranged for a meal; especially having food set out
- fully extended in width
noun
- process or result of distributing or extending over a wide expanse of space
- a conspicuous disparity or difference as between two figures
- farm consisting of a large tract of land along with facilities needed to raise livestock (especially cattle)
- a haphazard distribution in all directions
- a tasty mixture to be spread on bread or crackers or used in preparing other dishes
- a meal that is well prepared and greatly enjoyed
- two facing pages of a book or other publication
- the expansion of a person's girth (especially at middle age)
- decorative cover for a bed
- act of extending over a wider scope or expanse of space or time
suffix
noun
- A monoid object in the category of endofunctors of a fixed category.
- A single individual (such as a pollen grain) that is free from others, not united in a group.
- A data type which represents a specific form of computation, along with the operations "return" and "bind".
- An ultimate atom, or simple, unextended point; something ultimate and indivisible.
noun
- something that is created by arranging several things to form a unified whole
- the spatial property resulting from the arrangement of parts in relation to each other and to the whole
- the way in which someone or something is composed
- a mixture of ingredients
- a musical work that has been created
- musical creation
- the act of creating written works
- art and technique of printing with movable type
- an essay (especially one written as an assignment)
noun
- The set containing all of the elements of two or more sets.
- An affiliation of several parishes for joint support and management of their poor; also the jointly-owned workhouse.
- That which is united, or made one; something formed by a combination or coalition of parts or members; a confederation; a consolidated body; a league.
- A data structure that can store any of various types of item, but only one at a time.
- The act of uniting or joining two or more things into one.
- A trade union; a workers' union.
- An association of students at a university for social and/or political purposes; also in some cases a debating body.
- A joint or other connection uniting parts of machinery, such as pipes.
- The act or state of marriage.
- The state of being united or joined; a state of unity or harmony.
adj
verb
adj
- Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function).
- Expressing an ongoing action or state.
- Not deviating or varying from uniformity; not interrupted; not joined or articulated.
- Such that, for every x in the domain, for each small open interval D about f(x), there's an interval containing x whose image is in D.
- Without stopping; without a break, cessation, or interruption.
- Without intervening space; continued.
noun
- An element of a set.
- A file stored within an archive file.
- the judge or adjudicator in a consumer court.
- The penis.
- A part of a whole.
- Part of an animal capable of performing a distinct office; an organ; a limb.
- One who officially belongs to a group.
- Either of the two parts of an algebraic equation, connected by the equality sign.
- A part of a discourse or of a period, sentence, or verse; a clause.
- One of the propositions making up a syllogism.
- A function or piece of data associated with each separate instance of a class.
- friend
noun
- A typically finite set of distinguishable symbols.
- The set of letters used when writing in a language.
- An agent of the FBI, the CIA, or another such government agency.
- A writing system in which there are letters for the consonant and vowel phonemes. (Contrast e.g. abjad.)
- A writing system in which letters represent phonemes. (Contrast e.g. logography, a writing system in which each character represents a word, and syllabary, in which each character represents a syllable.)
- An individual letter of an alphabet; an alphabetic character.
- The simplest rudiments; elements.
verb
noun
- A structured arrangement of items within certain limits.
- A map or a drawing of a construction site showing the position of roads, buildings or other constructions.
- A specification of an integrated circuit showing the position of the physical components that will implement the schematic in silicon.
- The process of arranging editorial content, advertising, graphics and other information to fit within certain constraints.
- A plan for such arrangement.
- The act of laying out something.
noun
- An abstract construct in topology that associates data to the open sets of a topological space, together with well-defined restrictions from larger to smaller open sets, subject to the condition that compatible data on overlapping open sets corresponds, via the restrictions, to a unique datum on the union of the open sets.
- A quantity of arrows, usually twenty-four.
- A bundle of arrows sufficient to fill a quiver, or the allowance of each archer.
- A quantity of the stalks and ears of wheat, rye, or other grain, bound together; a bundle of grain or straw.
- Any collection of things bound together.
- A sheave.
verb
noun
- The set of all possible tuples whose elements are elements of given, separately specified, sets.
- Such a set of tuples formed from two or more groups, forming another group whose group operation is the component-wise application of the original group operations and of which the original groups are normal subgroups.
- Such a set of tuples formed from two or more rings, forming another ring whose operations arise from the component-wise application of the corresponding original ring operations.
- A topological space analogously formed from two or more (up to an infinite number of) topological spaces.
- A high-level generalization of the preceding that applies to objects in an arbitrary category and produces a new object constructable by morphisms from each of the original objects.
- Any of a number of mathematical objects analogously derived from a given ordered set of objects.
noun
- a single undivided whole
- any division of quantity accepted as a standard of measurement or exchange
- an individual or group or structure or other entity regarded as a structural or functional constituent of a whole
- an organization regarded as part of a larger social group
- a single undivided natural thing occurring in the composition of something else
- an assemblage of parts that is regarded as a single entity
noun
- A family of sets that is closed under finite unions and differences.
- A circumscribing object, (roughly) circular and hollow, looking like an annual ring, earring, finger ring etc.
- An exclusive group of people, usually involving some unethical or illegal practices.
- An old English measure of corn equal to the coomb or half a quarter.
- A large circular prehistoric stone construction such as Stonehenge.
- A group of atoms linked by bonds to form a closed chain in a molecule.
- A piece of food in the shape of a ring.
- Any loud sound; the sound of numerous voices; a sound continued, repeated, or reverberated.
- A circular group of people or objects.
- A sound or appearance that is characteristic of something.
- A flexible band partly or wholly encircling the spore cases of ferns.
- A bird band, a round piece of metal put around a bird's leg used for identification and studies of migration.
- A planar geometrical figure included between two concentric circles.
- A chime, or set of bells harmonically tuned.
- The resonant sound of a bell, or a sound resembling it.
- A formation of various pieces of material orbiting around a planet or young star.
- The open space in front of a racecourse stand, used for betting purposes.
- The twenty-fifth Lenormand card.
- A pleasant or correct sound.
- An algebraic structure which consists of a set with two binary operations: an additive operation and a multiplicative operation, such that the set is an abelian group under the additive operation, a monoid under the multiplicative operation, and such that the multiplicative operation is distributive with respect to the additive operation.
- A diacritical mark in the shape of a hollow circle placed above or under the letter; a kroužek.
- In a jack plug, the connector between the tip and the sleeve.
- A round piece of (precious) metal worn around the finger or through the ear, nose, etc.
- A place where some sports or exhibitions take place; notably a circular or comparable arena, such as a boxing ring or a circus ring; hence the field of a political contest.
- Either of the pair of clamps used to hold a telescopic sight to a rifle.
- A hierarchical level of privilege in a computer system, usually at hardware level, used to protect data and functionality (also protection ring).
- An algebraic structure as above, but only required to be a semigroup under the multiplicative operation, that is, there need not be a multiplicative identity element.
- A telephone call.
- A burner on a kitchen stove.
- An instrument, formerly used for taking the sun's altitude, consisting of a brass ring suspended by a swivel, with a hole at one side through which a solar ray entering indicated the altitude on the graduated inner surface opposite.
verb
- To produce (a sound) by ringing.
- To produce the sound of a bell or a similar sound.
- To telephone (someone).
- To steal and change the identity of (cars) in order to resell them.
- To make (a bell, etc.) produce a resonant sound.
- To ride around (a group of animals, especially catle) to keep them milling in one place; hence (intransitive), to work as a drover, to muster cattle.
- to resound, reverberate, echo.
- Of a bell, etc., to produce a resonant sound.
- Of something spoken or written, to appear to be, to seem, to sound.
- To surround or fit with a ring, or as if with a ring.
- To produce music with bells.
- To enclose or surround.
- To attach a ring to, especially for identification.
- To make an incision around; to girdle; to cut away a circular tract of bark from a tree in order to kill it.
- To rise in the air spirally.
English words for 'A set with certain openness and completeness properties.'
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