semiregular
Alexandrov topology
neighborhood
T₁
group
mathematical group
regular
holomorphic
domain
cofinite topology
π-system
generic property
continuous
disjoint set
paracompact
compact
filter
Herbrand universe
setwise
topology
metaset
ball
absolute complement
valuation
monoid
empty function
non-empty
basiswise
monad
Hintikka set
nonempty
quotient set
symmetric difference
trivial topology
quasi-compact
power set
Borel measurable
bounded lattice
Kolmogorov
pole
apicobasal
based
multibase
Lindelöf covering theorem
disjoint
convex set
basogenic
family
perfect
otopy
perfect set
normal space
direct product
diffeology
hyperconnected
principal ultrafilter
hyperconnection
maximum
sheaf
fixed point
algebraic structure
acyclic
pseudofinite
sector
pseudointersection
overlap
connection
open-chain
Grothendieck universe
cut-set
intersect
basely
union
standing
join
discrete topology
continuous function
open set
modulus
sum
fixed set
lake of Wada
bitopological
basis
paracontact
σ-algebra
equivalence class
uncountable set
complement
σ-finite measure
ideal
closed set
support
Gröbner basis
ring
Kolmogorov space
semiregular
T₁
regular
holomorphic
continuous
paracompact
compact
setwise
non-empty
nonempty
quasi-compact
Borel measurable
Kolmogorov
apicobasal
based
multibase
disjoint
basogenic
perfect
hyperconnected
fixed point
acyclic
pseudofinite
open-chain
standing
bitopological
basiswise
basely
Alexandrov topology
neighborhood
group
mathematical group
domain
cofinite topology
π-system
generic property
disjoint set
filter
Herbrand universe
topology
metaset
ball
absolute complement
valuation
monoid
empty function
monad
Hintikka set
quotient set
symmetric difference
trivial topology
power set
bounded lattice
pole
convex set
family
otopy
perfect set
normal space
direct product
diffeology
principal ultrafilter
hyperconnection
maximum
sheaf
algebraic structure
sector
pseudointersection
connection
Grothendieck universe
cut-set
union
join
discrete topology
continuous function
open set
modulus
sum
fixed set
lake of Wada
basis
paracontact
σ-algebra
equivalence class
uncountable set
complement
σ-finite measure
ideal
closed set
support
ring
Kolmogorov space
based
overlap
intersect
noun
- A set containing an open set which contains some specified point.
- Alternatively: An open set which contains some specified point.
- The infinitesimal open set of all points that may be reached directly from a given 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.
- A set containing an open ball which contains a specified point.
- An approximate amount.
- The quality of physical proximity.
- Alternatively: An open ball which contains some specified point.
adj
- Such that every set in its domain is both outer regular and inner regular.
- Having the expected characteristics or appearances; normal, ordinary, standard.
- Having all the parts of the same kind alike in size and shape.
- Bound by religious rule; belonging to a monastic or religious order (often as opposed to secular).
- Demonstrating a consistent set of rules; showing order, evenness of operation or occurrence.
- Exemplary; excellent example of; utter, downright.
- Happening at constant (especially short) intervals.
- Permanently organised; being part of a set professional body of troops.
- Having bowel movements or menstrual periods at constant intervals in the expected way.
- Riding with the left foot forward.
- Isometric.
- Both equilateral and equiangular; having all sides of the same length, and all (corresponding) angles of the same size
- Whose faces are all congruent regular polygons, equally inclined to each other.
- Following a set or common pattern; according to the normal rules of a given language.
- Having a constant pattern; showing evenness of form or appearance.
- Of a moon or other satellite: following a relatively close and prograde orbit with little inclination or eccentricity.
noun
- A member of a religious order who has taken the three ordinary vows.
- A frequent, routine visitor to an establishment.
- A member of an armed forces or police force.
- A frequent customer, client or business partner.
- A number for each year, giving, added to the concurrents, the number of the day of the week on which the Paschal full moon falls.
- A coffee with one cream and one sugar.
- A fixed number for each month serving to ascertain the day of the week, or the age of the moon, on the first day of any month.
- A member of the British Army (as opposed to a member of the Territorial Army or Reserve).
- Anything that is normal or standard.
noun
- An open and connected set in some topology. For example, the interval (0,1) as a subset of the real numbers.
- A ring with no zero divisors; that is, in which no product of nonzero elements is zero.
- The highest rank in the classification of organisms, above kingdom; in the three-domain system, one of the taxa Bacteria, Archaea, or Eukaryota.
- A geographic area owned or controlled by a single person or organization.
- A collection of DNS or DNS-like domain names consisting of a delegated domain name and all its subdomains.
- The set of input (argument) values for which a function is defined.
- The collection of computers identified by a domain's domain names.
- A collection of information having to do with a domain, the computers named in the domain, and the network on which the computers named in the domain reside.
- A folded section of a protein molecule that has a discrete function; the equivalent section of a chromosome
- A small region of a magnetic material with a consistent magnetization direction.
- A group of related items, topics, or subjects.
- Such a region used as a data storage element in a bubble memory.
- A form of technical metadata that represent the type of a data item, its characteristics, name, and usage.
- A field or sphere of activity, influence or expertise.
- The set of all possible mathematical entities (points) where a given function is defined.
- Any DNS domain name, particularly one which has been delegated and has become representative of the delegated domain name and its subdomains.
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.
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.
adj
- Such that every open cover of the given set has a finite subcover. In a Euclidean space this is equivalent to a Closed and bounded set.
- Having all necessary features fitting neatly into a small space.
- Brief; close; pithy; not diffuse; not verbose.
- Closely packed, i.e. packing much in a small space.
noun
- A small, slim folding case, often featuring a mirror, powder and a powderpuff; that fits into a woman's purse or handbag, or that slips into one's pocket.
- A broadsheet newspaper published in the size of a tabloid but keeping its non-sensational style.
- An agreement or contract.
verb
noun
- A non-empty upper set (of a partially ordered set) which is closed under binary infima (a.k.a. meets).
- self-restraint in speech.
- A device which separates a suspended, dissolved, or particulate matter from a fluid, solution, or other substance; any device that separates one substance from another.
- Any item, mechanism, device or procedure that acts to separate or isolate.
- A translucent object placed in the light path of a camera to remove certain wavelengths (colors), or a computer program that simulates such an effect.
- Electronics or software that separates unwanted signals (for example noise) from wanted signals or that attenuates selected frequencies.
verb
noun
- Any collection τ of subsets of a given set X that contains both the empty set and X, and which is closed under finitary intersections and arbitrary unions.
- The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
- The topographical study of geographic locations or given places in relation to their history.
- The arrangement of nodes in a communications network.
- The branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing).
- The anatomical structure of part of the body.
noun
noun
- The set of points in a topological space lying within some open set containing a given point.
- Any sport or game involving a ball; its play, literally or figuratively.
- A solid or hollow sphere, or roughly spherical mass.
- A competitive event among young African-American and Latin American LGBTQ+ people in which prizes are awarded for drag and similar performances. See ball culture.
- Nonsense.
- A very enjoyable time.
- An opportunity to launch the pinball into play.
- The globe; the earthly sphere.
- A pass; a kick of the football towards a teammate.
- A pitch that falls outside of the strike zone.
- The front of the bottom of the foot, just behind the toes.
- Courage.
- A large pill, a form in which medicine was given to horses; a bolus.
- A formal dance.
- The set of points in a metric space of any number of dimensions lying within a given distance (the radius) of a given point.
- A single delivery by the bowler, six of which make up an over.
- In 3-dimensional Euclidean space, the volume bounded by a sphere.
- A leather-covered cushion, fastened to a handle called a ballstock; formerly used by printers for inking the form, then superseded by the roller.
- A roundish, protuberant portion of some part of the body.
- An object that is the focus of many sports and games, in which it may be thrown, caught, kicked, bounced, rolled, chased, retrieved, hit with an instrument, spun, etc., usually roughly spherical but whose size, weight, bounciness, colour, etc. differ according to the game
- A jacketed non-expanding bullet, typically of military origin.
- One thousand US dollars.
- A quantity of string, thread, etc., wound into a spherical shape.
intj
verb
- To reject from a fraternity or sorority. (Short for blackball.)
- To form or wind into a ball.
- To gather balls which cling to the feet, as of damp snow or clay; to gather into balls.
- To punish by affixing a ball and chain.
- To have sexual intercourse with.
- To heat in a furnace and form into balls for rolling.
- To play basketball.
- To be hip or cool.
noun
- A map from the class of open sets of a topological space to the set of positive real numbers including infinity.
- An assignment of truth values to propositional variables, with a corresponding assignment of truth values to all propositional formulas with those variables (obtained through the recursive application of truth-valued functions corresponding to the logical connectives making up those formulas).
- The process of estimating the value of a financial asset or liability.
- A measure of size or multiplicity.
- A structure, and the corresponding assignment of a truth value to each sentence in the language for that structure.
- An estimation of something's worth.
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
- A fixed point relative to other points or lines.
- A telescope used to identify birds, aeroplanes or wildlife.
- Either of the two points on the earth's surface around which it rotates; also, similar points on any other rotating object.
- A construction by which an animal is harnessed to a carriage.
- A gun.
- Either of the states that characterize a bipolar disorder.
- A point of magnetic focus, especially each of the two opposing such points of a magnet (designated north and south).
- Originally, a stick; now specifically, a long and slender piece of metal or (especially) wood, used for various construction or support purposes.
- A type of basic fishing rod.
- A long sports implement used for pole-vaulting; now made of glassfiber or carbon fiber, formerly also metal, bamboo and wood have been used.
- Pole position.
- For a meromorphic function f(z), any point a for which f(z)→∞ as z→a.
- A unit of length, equal to a rod (¹⁄₄ chain or 5+¹⁄₂ yards).
- A penis.
- A contact on an electrical device (such as a battery) at which electric current enters or leaves.
verb
- To propel by pushing with poles, to push with a pole.
- To furnish with poles for support.
- To identify something quite precisely using a telescope.
- To convey on poles.
- To stir, as molten glass, with a pole.
- To strike (the ball) very hard.
- To induce piezoelectricity in (a substance) by aligning the dipoles.
noun
- A collection of sets, especially of subsets of a given set.
- A group of instruments having the same basic method of tone production.
- A nuclear family: a mother and father who are married and cohabiting and their child or children.
- A (close-knit) group of people related by blood, friendship, marriage, law, or custom, especially if they live or work together.
- A category in the classification of organisms, ranking below order and above genus; a taxon at that rank.
- An extended family: a group of people who are related to one another by blood or marriage.
- A group of people who are closely related to one another (by blood, marriage or adoption); kin; in particular, a set of parents and their children; an immediate family.
- Members of one's family collectively.
- Lineage, especially honorable or noble lineage.
- Any group or aggregation of things classed together as kindred or related from possessing in common characteristics which distinguish them from other things of the same order.
- A group of languages believed to have descended from the same ancestral language.
name
adj
adj
- Of a set: equal to its set of limit points, i.e. set A is perfect if A=A'.
- Fitting its definition precisely.
- Having all of its parts in harmony with a common purpose.
- Of a number: equal to the sum of its proper divisors.
- Of flowers, having both male parts (stamens) and female parts (carpels).
- Sexually mature and fully differentiated.
- Made with equal parts of sweet and dry vermouth.
- Excellent and delightful in all respects.
- Representing a completed action.
- Describing an interval or any compound interval of a unison, octave, or fourths and fifths that are not tritones.
- Without fault or mistake; thoroughly skilled or talented.
noun
- A perfect score; the achievement of finishing a stage or task with no mistakes.
- A leader of the Cathar movement.
- The perfect tense, or a form in that tense.
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
- An upper bound of a set which is also an element of that set.
- A scoring shot for 6 runs.
- The greatest value of a set or other mathematical structure, especially the global maximum or a local maximum of a function.
- A 147 break; the highest possible break.
- A score of 180 with three darts.
- The highest limit.
- The largest value of a batch or sample or the upper bound of a probability distribution.
adj
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
- a mathematical object comprising a carrier set (aka underlying set or domain), an optional scalar set, a set of operations (typically binary operations, but otherwise each of finite arity) and a set of identities (axioms) which the operations must satisfy.
- Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra;
noun
- A fixed, continuous section of the track, such that sectors do not overlap but all sectors make up the whole track.
- section
- a fictional region of space designated for navigational or governance purposes.
- a field of economic activity
- A toothed gear whose face is the arc of a circle.
- part of a circle, extending to the center; circular sector
- an area designated by boundaries within which a unit operates, and for which it is responsible
- zone (designated area).
- one of the subdivisions of a coastal frontier
- an instrument consisting of two rulers of equal length joined by a hinge.
- An area of a crag, consisting of various routes
- fixed-sized unit (traditionally 512 bytes) of sequential data stored on a track of a digital medium (compare to block)
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 set of sets that contains the empty set, all one-element sets for any element that is included in any of the sets, and the union of any group of sets that are elements where the intersections of those sets is non-empty.
- A feeling of understanding and ease of communication between two or more people.
- sexual intercourse
- A kinship relationship between people.
- An individual who is related to oneself, through either family or business.
- A drug dealer.
- The description for a Methodist denomination as a whole, as opposed to its constituent churches, circuits, districts and conferences.
- Coherence; lack of disjointedness
- The point at which two or more things are connected.
- A transfer from one transportation vehicle to another in scheduled transportation service
- An established communications or transportation link.
- The act of connecting.
adv
noun
- a set containing all and only the members of two or more given sets
- an organization of employees formed to bargain with the employer
- the act of pairing a male and female for reproductive purposes
- the state of being joined or united or linked
- the state of being a married couple voluntarily joined for life (or until divorce)
- healing process involving the growing together of the edges of a wound or the growing together of broken bones
- a political unit formed from previously independent people or organizations
- the occurrence of a uniting of separate parts
- a device on a national flag emblematic of the union of two or more sovereignties (typically in the upper inner corner)
- the act of making or becoming a single unit
adj
noun
- A set which can be described as an (arbitrary) union of open balls. Equivalently, a set such that for every point in it, there is an open ball centered at that point, such that that open ball is contained by the set.
- Most generally, a member of the topology of a given topological space.
- Informally, a set such that the target point of a movement by a small amount in any direction from any point in the set is still in the set; exemplified by a full circle without its boundary.
noun
- A collection of subsets ("basis elements") of a set, such that this collection covers the set, and for any two basis elements which both contain an element of the set, there is a third basis element contained in the intersection of the first two, which also contains that element.
- A starting point, base or foundation for an argument or hypothesis.
- A regular frequency.
- A physical base or foundation.
- In a vector space, a linearly independent set of vectors spanning the whole vector space.
- Amount paid for an investment, including commissions and other expenses.
- An underlying condition or circumstance.
- The difference between the cash price a dealer pays to a farmer for his produce and an agreed reference price, which is usually the futures price at which the given crop is trading at a commodity exchange.
noun
- Given two sets, the set containing one set's elements that are not members of the other set (whether a relative complement or an absolute complement).
- Fullness (of the moon).
- A nucleotide sequence in which each base is replaced by the complementary base of the given sequence: adenine (A) by thymine (T) or uracil (U), cytosine (C) by guanine (G), and vice versa.
- An angle which, together with a given angle, makes a right angle.
- Something which completes, something which combines with something else to make up a complete whole; loosely, something perceived to be a harmonious or desirable partner or addition.
- A word or group of words that completes a grammatical construction in the predicate and that describes or is identified with the subject or object.
- A voltage level with the opposite logical sense to the given one.
- A bit with the opposite value to the given one; the logical complement of a number.
- One of several blood proteins that work with antibodies during an immune response.
- Obsolete spelling or misspelling of compliment.
- The radix complement of a number; the two's complement of a binary number.
- The whole working force of a vessel.
- An interval which, together with the given interval, makes an octave.
- The diminished radix complement of a number; the nines' complement of a decimal number; the ones' complement of a binary number.
- The numeric complement of a number.
- Synonym of alexin
- An expression related to some other expression such that it is true under the same conditions that make other false, and vice versa.
- The color which, when mixed with the given color, gives black (for mixing pigments) or white (for mixing light).
- The totality, the full amount or number which completes something.
verb
noun
- A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).
- A subsemigroup with the property that if any semigroup element outside of it is added to any one of its members, the result must lie outside of it.
- A subring closed under multiplication by its containing ring.
- A collection of sets, considered small or negligible, such that every subset of each member and the union of any two members are also members of the collection.
- A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.
- A Lie subalgebra (subspace that is closed under the Lie bracket) 𝖍 of a given Lie algebra 𝖌 such that the Lie bracket [𝖌,𝖍] is a subset of 𝖍.
adj
- Not actually present, but considered as present when limits at infinity are included.
- Optimal; being the best possibility.
- Existing only in the mind; conceptual, imaginary.
- Pertaining to ideas, or to a given idea.
- Perfect, flawless, having no defects.
- Teaching or relating to the doctrine of idealism.
noun
- in relation to a function, the set of points where the function is not zero, or the closure of that set.
- An actor playing a subordinate part with a star.
- Answers to questions and resolution of problems regarding something sold.
- Evidence.
- Something which supports.
- An accompaniment in music.
- Compatibility and functionality for a given product or feature.
- Horizontal, vertical or rotational support of structures: movable, hinged, fixed.
- Financial or other help.
- A set whose elements are at least partially included in a given fuzzy set (i.e., whose grade of membership in that fuzzy set is strictly greater than zero).
verb
- To keep from falling.
- To be designed (said of machinery, electronics, or computers, or their parts, accessories, peripherals, or programming) to function compatibly with or provide the capacity for.
- To help, particularly financially.
- To back a cause, party, etc., mentally or with concrete aid.
- To serve, as in a customer-oriented mindset; to give support to.
- To verify; to make good; to substantiate; to establish; to sustain.
- To answer questions and resolve problems regarding something sold.
- To be accountable for, or involved with, but not responsible for.
- To assume and carry successfully, as the part of an actor; to represent or act; to sustain.
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 'Whose regular open sets form a base.'
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