English-Wörter für 'In a topological manner'
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noun
- (topology) A special kind of map that establishes a relationship between two topological spaces in the sense that, under the action of the map, the one looks locally like several copies of the second: Formally, a continuous map π:E→X between topological spaces such that there exists, for every point x in X, a discrete space D_x and an open neighborhood U of x such that π⁻¹(U)= displaystyle ⨆_(d∈D_x)V_d and π|_(V_d):V_d→U is a homeomorphism for every d∈D_x. See Covering space on Wikipedia.Wikipedia
- (countable) That which covers or conceals; a cover; something spread or laid over or wrapped about another.
- (topology, of a given open set U) A collection of sets U_i such that their union contains U; such a collection with the additional property that every U_i is open; such a collection with the additional property that every U_i is contained in U.
- (uncountable) Action of the verb to cover.
- the act of concealing the existence of something by obstructing the view of it
- the work of applying something
- a natural object that covers or envelops
- the act of protecting something by covering it
- an artifact that covers something else (usually to protect or shelter or conceal it)
verb
noun
- (topology) A topological space which is a product of two circles.
- (architecture) A large convex molding, typically semicircular in cross section, which commonly projects at the base of a column and above the plinth.
- (botany) The end of the peduncle or flower stalk to which the floral parts (or in the Asteraceae, the florets of a flower head) are attached.
- A ring-shaped object, especially a large ring-shaped chamber used in physical research.
- (botany) The thickening of a membrane closing a wood-cell pit (as of gymnosperm tracheids) having the secondary cell wall arched over the pit cavity.
- (anatomy) A rounded ridge of bone or muscle, especially one on the occipital bone.
- (topology, in combination, n-torus, 4-torus, etc.) The product of the specified number of circles.
- commonly the lowest molding at the base of a column
- a ring-shaped surface generated by rotating a circle around an axis that does not intersect the circle
noun
- (topology) A theory associating a system of groups with each topological space.
- (topology) A system of groups associated with a topological space.
- (topology) A continuous deformation of one continuous function or map to another.
- (informal) Ellipsis of homotopy theory (“the systematic study of homotopies and their equivalence classes”).
- (uncountable) The relationship between two continuous functions where homotopy from one to the other is evident.
noun
- (topology) The disjoint union of the underlying sets of a given family of topological spaces, equipped with a topology.
- (mathematics) A union of sets which are already pairwise disjoint.
- (mathematics) A union of sets forced to be disjoint by attaching information referring to the original sets to their elements (i.e., by using indexing).
noun
- (topology) Most generally, a member of the topology of a given topological space.
- (topology) 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.
- (topology, mathematical analysis, restricted to metric spaces) 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.
noun
adj
adj
- (mathematics, topology, of a topological space) That cannot be partitioned into two nonempty open sets.
- Having relationships; involved with others.
- Having or supporting connections, especially when through technology such as networking software or a transportation network.
- Intimate; having bonds of affection.
- (Canada, US) Involved with organized crime, specifically someone not (yet) working for a crime organization, but referred to as a "friend" by made guys/wise guys inside the organization.
- (mathematics, graph theory, of a graph) Having a path, either directed or undirected, connecting every pair of vertices.
- (usually with "well-"): Having favorable rapport with a powerful entity.
- being joined in close association
- stored in, controlled by, or in direct communication with a central computer
- plugged in
- wired together to an alarm system
- joined or linked together
verb
noun
- (topology, algebraic topology) A chain whose boundary is zero.
- An interval of space or time in which one set of events or phenomena is completed.
- An age; a long period of time.
- A pedal-powered vehicle, such as a unicycle, bicycle, or tricycle, or a motorized vehicle that has either two or three wheels.
- A process that returns to its beginning and then repeats itself in the same sequence.
- A complete rotation of anything.
- A series of poems, songs or other works of art, typically longer than a trilogy.
- (graph theory) A closed walk or path, with or without repeated vertices allowed.
- A programme on a washing machine, dishwasher, or other such device.
- (botany) One entire round in a circle or a spire.
- (weaponry) A discharge of a taser.
- (aviation) One take-off and landing of an aircraft, referring to a pressurisation cycle which places stresses on the fuselage.
- (usually plural) A hertz; cycle per second.
- An orderly list for a given time; a calendar.
- (sports) A scheduled period of time of weeks or months wherein a performance-enhancing substance or, by extension, supplement is applied, to be followed by another one where it is not or the dosage is lower.
- (baseball) A single, a double, a triple, and a home run hit by the same player in the same game.
- The members of the sequence formed by such a process.
- An imaginary circle or orbit in the heavens; one of the celestial spheres.
- (specifically and now usually) A bicycle.
- a wheeled vehicle that has two wheels and is moved by foot pedals
- a periodically repeated sequence of events
- the unit of frequency; one hertz has a periodic interval of one second (named for Heinrich Rudolph Hertz)
- a series of poems or songs on the same theme
- a single complete execution of a periodically repeated phenomenon
- an interval during which a recurring sequence of events occurs
verb
- (electronics) To turn power off and back on
- To ride a bicycle or other cycle.
- To go through a cycle or to put through a cycle.
- (ice hockey) To maintain a team's possession of the puck in the offensive zone by handling and passing the puck in a loop from the boards near the goal up the side boards and passing to back to the boards near the goal
- cause to go through a recurring sequence
- ride a motorcycle
- ride a bicycle
- recur in repeating sequences
- pass through a cycle
adj
- (mathematical analysis, of a topological space) Having a countable dense subset.
- (abstract algebra, of an algebra over a ring) Satisfying any of several technical conditions on the center of the algebra which generalize the situation of field extensions; see Separable algebra on Wikipedia.Wikipedia
- (mathematics, of a differential equation) Able to be brought to a form where all occurrences of the dependent and the independent variable are on opposite sides of the equal sign.
- (of a polynomial) Having no repeated roots (where roots are considered in an algebraic closure)
- Able to be separated.
- (Galois theory, of an algebraic field extension E/F) Such that the minimal polynomial of every element of E is a separable polynomial.
- capable of being divided or dissociated
adj
- (topology) Having each singleton subset open: said of a topological space or a topology.
- (audio engineering) Having separate and independent channels of audio, as opposed to multiplexed stereo or quadraphonic, or other multi-channel sound.
- Disjunctive; containing a disjunctive or discretive clause.
- That can be perceived individually, not as connected to, or part of, something else.
- (electrical engineering) Having separate electronic components, such as individual diodes, transistors and resistors, as opposed to integrated circuitry.
- Separate; distinct; individual; non-continuous.
- (mathematics) Consisting of or permitting only distinct values drawn from a finite, countable set.
- constituting a separate entity or part
noun
- (topology) A topological space which represents some graph (ordered pair of sets) and which is constructed by representing the vertices as points and the edges as copies of the real interval [0,1] (where, for any given edge, 0 and 1 are identified with the points representing the two vertices) and equipping the result with a particular topology called the graph topology.
- (mathematics) A set of points constituting a graphical representation of a real function; (formally) a set of tuples (x_1,x_2,…,x_m,y)∈ R ᵐ⁺¹, where y=f(x_1,x_2,…,x_m) for a given function f: R ᵐ→ R . See also Graph of a function on Wikipedia.Wikipedia
- (category theory, of a morphism f) A morphism Γ_f from the domain of f to the product of the domain and codomain of f, such that the first projection applied to Γ_f equals the identity of the domain, and the second projection applied to Γ_f is equal to f.
- (graph theory) A set of vertices (or nodes) connected together by edges; (formally) an ordered pair of sets (V,E), where the elements of V are called vertices or nodes and E is a set of pairs (called edges) of elements of V. See also Graph (discrete mathematics) on Wikipedia.Wikipedia
- (applied mathematics, statistics) A data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set, whose elements are indexed to those of the former set(s) and may or may not be numbers.
- (linguistics, typography) A graphical unit on the token-level, the abstracted fundamental shape of a character or letter as distinct from its ductus (realization in a particular typeface or handwriting on the instance-level) and as distinct by a grapheme on the type-level by not fundamentally distinguishing meaning.
- a visual display of information
- a written symbol that is used to represent speech
- a visual representation of the relations between certain quantities, represented as points, plotted with reference to a set of axes
verb
adj
- (topology, of a topological space) Whose regular open sets form a base.
- (geometry, of a polyhedron or tessellation of the plane) Uniform (isogonal and isotoxal) with regular faces of two or more types, such that each vertex is surrounded by the same polygons in the same order.
- Somewhat regular; occasional.
noun
adj
noun
- (topology) A topological space analogously formed from two or more (up to an infinite number of) topological spaces.
- (set theory) The set of all possible tuples whose elements are elements of given, separately specified, sets.
- (group theory) 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.
- (category theory) 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.
- (ring theory) 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.
- (mathematics) Any of a number of mathematical objects analogously derived from a given ordered set of objects.
- the set of ordered pairs of two given sets
noun
- (topology) The set of sets from which a topology is generated.
- (electronics) The name of the controlling terminal of a bipolar transistor (BJT).
- (acrobatics, cheerleading) In hand-to-hand balance, the person who supports the flyer; the person that remains in contact with the ground.
- The starting point of a logical deduction or thought; basis.
- (architecture) The lowermost part of a column, between the shaft and the pedestal or pavement.
- (group theory) A sequence of elements not jointly stabilized by any nontrivial group element.
- (heraldry) The lowest third of a shield (or field), or an ordinary occupying this space, the champagne. (Compare terrace.)
- The place where decisions for an organization are made; headquarters.
- (cooking, painting, pharmacy) A basic but essential component or ingredient.
- A line in a survey which, being accurately determined in length and position, serves as the origin from which to compute the distances and positions of any points or objects connected with it by a system of triangles.
- (chemistry) Any of a class of generally water-soluble compounds that turn red litmus blue and react with acids to form salts.
- (aviation) Ellipsis of base leg.
- A site, structure, or both, usually durable and often permanent, for housing military personnel and materiel.
- (botany) The end of a leaf, petal or similar organ where it is attached to its support.
- (topology) A topological space, looked at in relation to one of its covering spaces, fibrations, or bundles.
- (mathematics) A number raised to the power of an exponent.
- (military, historical) The smallest kind of cannon.
- (historical, sometimes in the plural) A kind of skirt (often of velvet or brocade) which hung from the middle to about the knees, or lower.
- (biology, biochemistry) A nucleotide's nucleobase in the context of a DNA or RNA biopolymer.
- (historical, sometimes in the plural) A kind of armour skirt, of mail or plate, imitating the preceding civilian skirt.
- A safe zone in the children's games of tag and hide-and-go-seek.
- (slang, uncountable) freebase cocaine
- (cosmetics) Foundation: a cosmetic cream to make the face appear uniform.
- (geometry) The lowest side of a triangle or other polygon, or the lowest face of a cone, pyramid or other polyhedron laid flat.
- (linguistics) A morpheme (or morphemes) that serves as a basic foundation on which affixes can be attached.
- (politics) A group of voters who almost always support a single party's candidates for elected office.
- Something from which other things extend; a foundation.
- (baseball) One of the four places that a runner can stand without being subject to being tagged out when the ball is in play.
- (mathematics) Synonym of radix.
- A material that holds paint or other materials together; a binder.
- A supporting, lower or bottom component of a structure or object.
- Alternative form of BASE.
- (now chiefly US, historical) The game of prisoners' bars.
- (Marxism) The forces and relations of production that produce the necessities and amenities of life.
- A substance used as a mordant in dyeing.
- lowest support of a structure
- (electronics) the part of a transistor that separates the emitter from the collector
- the fundamental assumptions from which something is begun or developed or calculated or explained
- the place where you are stationed and from which missions start and end
- (numeration system) the positive integer that is equivalent to one in the next higher counting place
- a phosphoric ester of a nucleoside; the basic structural unit of nucleic acids (DNA or RNA)
- the stock of basic facilities and capital equipment needed for the functioning of a country or area
- the bottom or lowest part
- a place that the runner must touch before scoring
- a support or foundation
- the principal ingredient of a mixture
- any of various water-soluble compounds capable of turning litmus blue and reacting with an acid to form a salt and water
- installation from which a military force initiates operations
- (linguistics) the form of a word after all affixes are removed
- a lower limit
- the most important or necessary part of something
- (anatomy) the part of an organ nearest its point of attachment
- the bottom side of a geometric figure from which the altitude can be constructed
- a flat bottom on which something is intended to sit
adj
- Not classical or correct.
- Morally reprehensible, immoral; cowardly.
- Low in place or position.
- Alloyed with inferior metal; debased.
- (law) Relating to feudal land tenure held by a tenant from a lord in exchange for services that are seen as unworthy for noblemen to perform, such as villeinage.
- (of a metal) Not considered precious or noble.
- (used of metals) consisting of or alloyed with inferior metal
- of low birth or station (‘base’ is archaic in this sense)
- illegitimate
- serving as or forming a base
- not adhering to ethical or moral principles
- debased; not genuine
- having or showing an ignoble lack of honor or morality
verb
- (transitive) To give as its foundation or starting point; to lay the foundation of.
- (slang) To freebase.
- (acrobatics, cheerleading) To act as a base; to be the person supporting the flyer.
- (transitive) To be located (at a particular place).
- situate as a center of operations
- use (purified cocaine) by burning it and inhaling the fumes
- use as a basis for; found on
noun
- (topology) A one-dimensional continuum.
- (informal, usually in the plural) The attractive shape of a woman's body.
- (algebraic geometry) An algebraic curve; a polynomial relation of the planar coordinates.
- (analytic geometry) A continuous map from a one-dimensional space to a multidimensional space.
- (geometry) A one-dimensional figure of non-zero length; the graph of a continuous map from a one-dimensional space.
- A gentle bend, such as in a road.
- A simple figure containing no straight portions and no angles; a curved line.
- (nonstandard, by extension) A grading system where all raw scores are raised by a set amount of points.
- A grading system based on the scale of performance of a group used to normalize a right-skewed grade distribution (with more lower scores) into a bell curve, so that more can receive higher grades, regardless of their actual knowledge of the subject.
- a pitch of a baseball that is thrown with spin so that its path curves as it approaches the batter
- curved segment (of a road or river or railroad track etc.)
- a line on a graph representing data
- the trace of a point whose direction of motion changes
- the property possessed by the curving of a line or surface
verb
- (transitive) To bend; to crook.
- (transitive) To grade on a curve (bell curve of a normal distribution).
- (intransitive) To bend or turn gradually from a given direction.
- (transitive) To cause to swerve from a straight course.
- (transitive, slang) To reject, to turn down romantic advances.
- extend in curves and turns
- form an arch or curve
- bend or cause to bend
- form a curl, curve, or kink
- turn sharply; change direction abruptly
noun
- (mathematics) an unbounded two-dimensional shape
- an aircraft that has a fixed wing and is powered by propellers or jets
- a level of existence or development
- a power tool for smoothing or shaping wood
- a carpenter's hand tool with an adjustable blade for smoothing or shaping wood
- (entomology) Any of various nymphalid butterflies, of various genera, having a slow gliding flight.
- (entomology) The butterfly Bindahara phocides, family Lycaenidae, of Asia and Australasia.
- (geometry) A flat surface extending infinitely in all directions (e.g. horizontal or vertical plane); a bounded portion thereof.
- A roughly flat, thin, often moveable structure used to create lateral force by the flow of air or water over its surface, found on aircraft, submarines, etc.
- (countable) A deciduous tree of the genus Platanus.
- (computing, Unicode) Any of 17 designated ranges of 2¹⁶ (65,536) sequential code points each.
- An airplane; an aeroplane.
- (countable, carpentry) A tool for smoothing wood by removing thin layers from the surface.
- (anatomy) An imaginary plane which divides the body into two portions.
- A level or flat surface.
- A level of existence or development.
- (Northern UK) A sycamore.
adj
verb
noun
- (mathematics) an unbounded two-dimensional shape
- newspaper with half-size pages
- bed linen consisting of a large rectangular piece of cotton or linen cloth; used in pairs
- a large piece of fabric (usually canvas fabric) by means of which wind is used to propel a sailing vessel
- (nautical) a line (rope or chain) that regulates the angle at which a sail is set in relation to the wind
- any broad thin expanse or surface
- a flat artifact that is thin relative to its length and width
- paper used for writing or printing
- A flat metal pan, often without raised edge, used for baking.
- (curling) The area of ice on which the game of curling is played.
- A thin bed cloth used as a covering for a mattress or as a layer over the sleeper.
- (euphemistic, slang) Euphemistic form of shit.
- A broad, flat expanse or covering of a material on a surface.
- (geology) An extensive bed of an eruptive rock intruded between, or overlying, other strata.
- (nautical, nonstandard) A sail.
- (nonstandard) A layer of veneer.
- (nautical) A line (rope) used to adjust the trim of a sail.
- A thin, flat piece or layer of solid material.
- (figuratively) Precipitation of such quantity and force as to resemble a thin, virtually solid wall.
- An expanse of something.
- A piece of paper, usually rectangular, that has been prepared for writing, artwork, drafting, wrapping, manufacture of packaging (boxes, envelopes, etc.), and for other uses. The word does not include scraps and irregular small pieces destined to be recycled, used for stuffing or cushioning or paper mache, etc. In modern books, each sheet of paper is typically folded in half, to produce two leaves and four pages. In the absence of folding, "leaf" and "sheet" are equivalent.
- (nautical) The space in the forward or after part of a boat where there are no rowers.
verb
noun
- (topology) A set of submanifolds of a given manifold, each of which is of lower dimension than it, but which, taken together, are coextensive with it.
- (botany) The manner in which the young leaves are disposed within the bud.
- The enrichment of an opening by means of foils, arranged in trefoils, quatrefoils, etc.; also, one of the ornaments.
- The act of beating a metal into a thin plate, leaf, foil, or lamina.
- (botany) The process of forming into a leaf or leaves.
- (publishing) The process of forming into pages; pagination.
- (codicology, publishing) The numbering of the folios of a manuscript or a book.
- The act of coating with an amalgam of tin foil and quicksilver, as in making looking-glasses.
- (geology) The property, possessed by some crystalline rocks, of being divided into plates or layers, due to the cleavage structure of one of the constituents, as mica or hornblende. It may sometimes include slaty structure or cleavage, though the latter is usually independent of any mineral constituent, and transverse to the bedding, it having been produced by pressure.
- (architecture) leaf-like architectural ornament
- the production of foil by cutting or beating metal into thin leaves
- the work of coating glass with metal foil
- (botany) the process of forming leaves
- (geology) the arrangement of leaflike layers in a rock
adj
- (mathematics, of a topological space) That can be partitioned into two nonempty subsets which are both open and closed.
- That is no longer connected.
- Feeling a lack of empathy or association with something.
- Incoherent; disjointed.
- not plugged in or connected to a power source
- (music) marked by or composed of disconnected parts or sounds; cut short crisply
- marked by sudden changes in subject and sharp transitions
- lacking orderly continuity
- having been divided; having the unity destroyed
verb
noun
- (topology) A topological space derived from another by taking the product of the original space with an interval and collapsing each end of the product to a point.
- (Scots law) A stay or postponement of the execution of a sentence, usually by letters of suspension granted on application to the Lord Ordinary.
- A temporary or conditional delay, interruption or discontinuation.
- Thus a kind of silt or sludge.
- The temporary barring of a person from a workplace, society, etc. pending investigation into alleged misconduct.
- (chemistry, physics) The state of a solid or substance produced when its particles are mixed with, but not dissolved in, a fluid, and are capable of separation by straining.
- (topology) A function derived, in a standard way, from another, such that the instant function’s domain and codomain are suspensions of the original function’s.
- (education) The process of barring a student from school grounds as a form of punishment (particularly out-of-school suspension).
- (music) The act of or discord produced by prolonging one or more tones of a chord into the chord which follows, thus producing a momentary discord, suspending the concord which the ear expects.
- (vehicles) The system of springs and shock absorbers connected to the wheels in an automobile, which allows the vehicle to move smoothly with reduced shock to its occupants.
- The act of keeping a person who is listening in doubt and expectation of what is to follow.
- The act of suspending, or the state of being suspended.
- the act of suspending something (hanging it from above so it moves freely)
- a temporary debarment (from a privilege or position etc.)
- a mechanical system of springs or shock absorbers connecting the wheels and axles to the chassis of a wheeled vehicle
- a time interval during which there is a temporary cessation of something
- temporary cessation or suspension
- an interruption in the intensity or amount of something
- a mixture in which fine particles are suspended in a fluid where they are supported by buoyancy
noun
- (topology) A special kind of map that establishes a relationship between two topological spaces in the sense that, under the action of the map, the one looks locally like several copies of the second: Formally, a continuous map π:E→X between topological spaces such that there exists, for every point x in X, a discrete space D_x and an open neighborhood U of x such that π⁻¹(U)= displaystyle ⨆_(d∈D_x)V_d and π|_(V_d):V_d→U is a homeomorphism for every d∈D_x. See Covering space on Wikipedia.Wikipedia
- (countable) That which covers or conceals; a cover; something spread or laid over or wrapped about another.
- (topology, of a given open set U) A collection of sets U_i such that their union contains U; such a collection with the additional property that every U_i is open; such a collection with the additional property that every U_i is contained in U.
- (uncountable) Action of the verb to cover.
- the act of concealing the existence of something by obstructing the view of it
- the work of applying something
- a natural object that covers or envelops
- the act of protecting something by covering it
- an artifact that covers something else (usually to protect or shelter or conceal it)
verb
noun
- (topology) A topological space which is a product of two circles.
- (architecture) A large convex molding, typically semicircular in cross section, which commonly projects at the base of a column and above the plinth.
- (botany) The end of the peduncle or flower stalk to which the floral parts (or in the Asteraceae, the florets of a flower head) are attached.
- A ring-shaped object, especially a large ring-shaped chamber used in physical research.
- (botany) The thickening of a membrane closing a wood-cell pit (as of gymnosperm tracheids) having the secondary cell wall arched over the pit cavity.
- (anatomy) A rounded ridge of bone or muscle, especially one on the occipital bone.
- (topology, in combination, n-torus, 4-torus, etc.) The product of the specified number of circles.
- commonly the lowest molding at the base of a column
- a ring-shaped surface generated by rotating a circle around an axis that does not intersect the circle
noun
- (topology) A theory associating a system of groups with each topological space.
- (topology) A system of groups associated with a topological space.
- (topology) A continuous deformation of one continuous function or map to another.
- (informal) Ellipsis of homotopy theory (“the systematic study of homotopies and their equivalence classes”).
- (uncountable) The relationship between two continuous functions where homotopy from one to the other is evident.
noun
- (topology) The disjoint union of the underlying sets of a given family of topological spaces, equipped with a topology.
- (mathematics) A union of sets which are already pairwise disjoint.
- (mathematics) A union of sets forced to be disjoint by attaching information referring to the original sets to their elements (i.e., by using indexing).
noun
- (topology) Most generally, a member of the topology of a given topological space.
- (topology) 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.
- (topology, mathematical analysis, restricted to metric spaces) 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.
noun
adj
noun
- (topology, algebraic topology) A chain whose boundary is zero.
- An interval of space or time in which one set of events or phenomena is completed.
- An age; a long period of time.
- A pedal-powered vehicle, such as a unicycle, bicycle, or tricycle, or a motorized vehicle that has either two or three wheels.
- A process that returns to its beginning and then repeats itself in the same sequence.
- A complete rotation of anything.
- A series of poems, songs or other works of art, typically longer than a trilogy.
- (graph theory) A closed walk or path, with or without repeated vertices allowed.
- A programme on a washing machine, dishwasher, or other such device.
- (botany) One entire round in a circle or a spire.
- (weaponry) A discharge of a taser.
- (aviation) One take-off and landing of an aircraft, referring to a pressurisation cycle which places stresses on the fuselage.
- (usually plural) A hertz; cycle per second.
- An orderly list for a given time; a calendar.
- (sports) A scheduled period of time of weeks or months wherein a performance-enhancing substance or, by extension, supplement is applied, to be followed by another one where it is not or the dosage is lower.
- (baseball) A single, a double, a triple, and a home run hit by the same player in the same game.
- The members of the sequence formed by such a process.
- An imaginary circle or orbit in the heavens; one of the celestial spheres.
- (specifically and now usually) A bicycle.
- a wheeled vehicle that has two wheels and is moved by foot pedals
- a periodically repeated sequence of events
- the unit of frequency; one hertz has a periodic interval of one second (named for Heinrich Rudolph Hertz)
- a series of poems or songs on the same theme
- a single complete execution of a periodically repeated phenomenon
- an interval during which a recurring sequence of events occurs
verb
- (electronics) To turn power off and back on
- To ride a bicycle or other cycle.
- To go through a cycle or to put through a cycle.
- (ice hockey) To maintain a team's possession of the puck in the offensive zone by handling and passing the puck in a loop from the boards near the goal up the side boards and passing to back to the boards near the goal
- cause to go through a recurring sequence
- ride a motorcycle
- ride a bicycle
- recur in repeating sequences
- pass through a cycle
noun
- (topology) A topological space which represents some graph (ordered pair of sets) and which is constructed by representing the vertices as points and the edges as copies of the real interval [0,1] (where, for any given edge, 0 and 1 are identified with the points representing the two vertices) and equipping the result with a particular topology called the graph topology.
- (mathematics) A set of points constituting a graphical representation of a real function; (formally) a set of tuples (x_1,x_2,…,x_m,y)∈ R ᵐ⁺¹, where y=f(x_1,x_2,…,x_m) for a given function f: R ᵐ→ R . See also Graph of a function on Wikipedia.Wikipedia
- (category theory, of a morphism f) A morphism Γ_f from the domain of f to the product of the domain and codomain of f, such that the first projection applied to Γ_f equals the identity of the domain, and the second projection applied to Γ_f is equal to f.
- (graph theory) A set of vertices (or nodes) connected together by edges; (formally) an ordered pair of sets (V,E), where the elements of V are called vertices or nodes and E is a set of pairs (called edges) of elements of V. See also Graph (discrete mathematics) on Wikipedia.Wikipedia
- (applied mathematics, statistics) A data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set, whose elements are indexed to those of the former set(s) and may or may not be numbers.
- (linguistics, typography) A graphical unit on the token-level, the abstracted fundamental shape of a character or letter as distinct from its ductus (realization in a particular typeface or handwriting on the instance-level) and as distinct by a grapheme on the type-level by not fundamentally distinguishing meaning.
- a visual display of information
- a written symbol that is used to represent speech
- a visual representation of the relations between certain quantities, represented as points, plotted with reference to a set of axes
verb
noun
adj
noun
- (topology) A topological space analogously formed from two or more (up to an infinite number of) topological spaces.
- (set theory) The set of all possible tuples whose elements are elements of given, separately specified, sets.
- (group theory) 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.
- (category theory) 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.
- (ring theory) 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.
- (mathematics) Any of a number of mathematical objects analogously derived from a given ordered set of objects.
- the set of ordered pairs of two given sets
noun
- (topology) The set of sets from which a topology is generated.
- (electronics) The name of the controlling terminal of a bipolar transistor (BJT).
- (acrobatics, cheerleading) In hand-to-hand balance, the person who supports the flyer; the person that remains in contact with the ground.
- The starting point of a logical deduction or thought; basis.
- (architecture) The lowermost part of a column, between the shaft and the pedestal or pavement.
- (group theory) A sequence of elements not jointly stabilized by any nontrivial group element.
- (heraldry) The lowest third of a shield (or field), or an ordinary occupying this space, the champagne. (Compare terrace.)
- The place where decisions for an organization are made; headquarters.
- (cooking, painting, pharmacy) A basic but essential component or ingredient.
- A line in a survey which, being accurately determined in length and position, serves as the origin from which to compute the distances and positions of any points or objects connected with it by a system of triangles.
- (chemistry) Any of a class of generally water-soluble compounds that turn red litmus blue and react with acids to form salts.
- (aviation) Ellipsis of base leg.
- A site, structure, or both, usually durable and often permanent, for housing military personnel and materiel.
- (botany) The end of a leaf, petal or similar organ where it is attached to its support.
- (topology) A topological space, looked at in relation to one of its covering spaces, fibrations, or bundles.
- (mathematics) A number raised to the power of an exponent.
- (military, historical) The smallest kind of cannon.
- (historical, sometimes in the plural) A kind of skirt (often of velvet or brocade) which hung from the middle to about the knees, or lower.
- (biology, biochemistry) A nucleotide's nucleobase in the context of a DNA or RNA biopolymer.
- (historical, sometimes in the plural) A kind of armour skirt, of mail or plate, imitating the preceding civilian skirt.
- A safe zone in the children's games of tag and hide-and-go-seek.
- (slang, uncountable) freebase cocaine
- (cosmetics) Foundation: a cosmetic cream to make the face appear uniform.
- (geometry) The lowest side of a triangle or other polygon, or the lowest face of a cone, pyramid or other polyhedron laid flat.
- (linguistics) A morpheme (or morphemes) that serves as a basic foundation on which affixes can be attached.
- (politics) A group of voters who almost always support a single party's candidates for elected office.
- Something from which other things extend; a foundation.
- (baseball) One of the four places that a runner can stand without being subject to being tagged out when the ball is in play.
- (mathematics) Synonym of radix.
- A material that holds paint or other materials together; a binder.
- A supporting, lower or bottom component of a structure or object.
- Alternative form of BASE.
- (now chiefly US, historical) The game of prisoners' bars.
- (Marxism) The forces and relations of production that produce the necessities and amenities of life.
- A substance used as a mordant in dyeing.
- lowest support of a structure
- (electronics) the part of a transistor that separates the emitter from the collector
- the fundamental assumptions from which something is begun or developed or calculated or explained
- the place where you are stationed and from which missions start and end
- (numeration system) the positive integer that is equivalent to one in the next higher counting place
- a phosphoric ester of a nucleoside; the basic structural unit of nucleic acids (DNA or RNA)
- the stock of basic facilities and capital equipment needed for the functioning of a country or area
- the bottom or lowest part
- a place that the runner must touch before scoring
- a support or foundation
- the principal ingredient of a mixture
- any of various water-soluble compounds capable of turning litmus blue and reacting with an acid to form a salt and water
- installation from which a military force initiates operations
- (linguistics) the form of a word after all affixes are removed
- a lower limit
- the most important or necessary part of something
- (anatomy) the part of an organ nearest its point of attachment
- the bottom side of a geometric figure from which the altitude can be constructed
- a flat bottom on which something is intended to sit
adj
- Not classical or correct.
- Morally reprehensible, immoral; cowardly.
- Low in place or position.
- Alloyed with inferior metal; debased.
- (law) Relating to feudal land tenure held by a tenant from a lord in exchange for services that are seen as unworthy for noblemen to perform, such as villeinage.
- (of a metal) Not considered precious or noble.
- (used of metals) consisting of or alloyed with inferior metal
- of low birth or station (‘base’ is archaic in this sense)
- illegitimate
- serving as or forming a base
- not adhering to ethical or moral principles
- debased; not genuine
- having or showing an ignoble lack of honor or morality
verb
- (transitive) To give as its foundation or starting point; to lay the foundation of.
- (slang) To freebase.
- (acrobatics, cheerleading) To act as a base; to be the person supporting the flyer.
- (transitive) To be located (at a particular place).
- situate as a center of operations
- use (purified cocaine) by burning it and inhaling the fumes
- use as a basis for; found on
noun
- (topology) A one-dimensional continuum.
- (informal, usually in the plural) The attractive shape of a woman's body.
- (algebraic geometry) An algebraic curve; a polynomial relation of the planar coordinates.
- (analytic geometry) A continuous map from a one-dimensional space to a multidimensional space.
- (geometry) A one-dimensional figure of non-zero length; the graph of a continuous map from a one-dimensional space.
- A gentle bend, such as in a road.
- A simple figure containing no straight portions and no angles; a curved line.
- (nonstandard, by extension) A grading system where all raw scores are raised by a set amount of points.
- A grading system based on the scale of performance of a group used to normalize a right-skewed grade distribution (with more lower scores) into a bell curve, so that more can receive higher grades, regardless of their actual knowledge of the subject.
- a pitch of a baseball that is thrown with spin so that its path curves as it approaches the batter
- curved segment (of a road or river or railroad track etc.)
- a line on a graph representing data
- the trace of a point whose direction of motion changes
- the property possessed by the curving of a line or surface
verb
- (transitive) To bend; to crook.
- (transitive) To grade on a curve (bell curve of a normal distribution).
- (intransitive) To bend or turn gradually from a given direction.
- (transitive) To cause to swerve from a straight course.
- (transitive, slang) To reject, to turn down romantic advances.
- extend in curves and turns
- form an arch or curve
- bend or cause to bend
- form a curl, curve, or kink
- turn sharply; change direction abruptly
noun
- (mathematics) an unbounded two-dimensional shape
- an aircraft that has a fixed wing and is powered by propellers or jets
- a level of existence or development
- a power tool for smoothing or shaping wood
- a carpenter's hand tool with an adjustable blade for smoothing or shaping wood
- (entomology) Any of various nymphalid butterflies, of various genera, having a slow gliding flight.
- (entomology) The butterfly Bindahara phocides, family Lycaenidae, of Asia and Australasia.
- (geometry) A flat surface extending infinitely in all directions (e.g. horizontal or vertical plane); a bounded portion thereof.
- A roughly flat, thin, often moveable structure used to create lateral force by the flow of air or water over its surface, found on aircraft, submarines, etc.
- (countable) A deciduous tree of the genus Platanus.
- (computing, Unicode) Any of 17 designated ranges of 2¹⁶ (65,536) sequential code points each.
- An airplane; an aeroplane.
- (countable, carpentry) A tool for smoothing wood by removing thin layers from the surface.
- (anatomy) An imaginary plane which divides the body into two portions.
- A level or flat surface.
- A level of existence or development.
- (Northern UK) A sycamore.
adj
verb
noun
- (mathematics) an unbounded two-dimensional shape
- newspaper with half-size pages
- bed linen consisting of a large rectangular piece of cotton or linen cloth; used in pairs
- a large piece of fabric (usually canvas fabric) by means of which wind is used to propel a sailing vessel
- (nautical) a line (rope or chain) that regulates the angle at which a sail is set in relation to the wind
- any broad thin expanse or surface
- a flat artifact that is thin relative to its length and width
- paper used for writing or printing
- A flat metal pan, often without raised edge, used for baking.
- (curling) The area of ice on which the game of curling is played.
- A thin bed cloth used as a covering for a mattress or as a layer over the sleeper.
- (euphemistic, slang) Euphemistic form of shit.
- A broad, flat expanse or covering of a material on a surface.
- (geology) An extensive bed of an eruptive rock intruded between, or overlying, other strata.
- (nautical, nonstandard) A sail.
- (nonstandard) A layer of veneer.
- (nautical) A line (rope) used to adjust the trim of a sail.
- A thin, flat piece or layer of solid material.
- (figuratively) Precipitation of such quantity and force as to resemble a thin, virtually solid wall.
- An expanse of something.
- A piece of paper, usually rectangular, that has been prepared for writing, artwork, drafting, wrapping, manufacture of packaging (boxes, envelopes, etc.), and for other uses. The word does not include scraps and irregular small pieces destined to be recycled, used for stuffing or cushioning or paper mache, etc. In modern books, each sheet of paper is typically folded in half, to produce two leaves and four pages. In the absence of folding, "leaf" and "sheet" are equivalent.
- (nautical) The space in the forward or after part of a boat where there are no rowers.
verb
noun
- (topology) A set of submanifolds of a given manifold, each of which is of lower dimension than it, but which, taken together, are coextensive with it.
- (botany) The manner in which the young leaves are disposed within the bud.
- The enrichment of an opening by means of foils, arranged in trefoils, quatrefoils, etc.; also, one of the ornaments.
- The act of beating a metal into a thin plate, leaf, foil, or lamina.
- (botany) The process of forming into a leaf or leaves.
- (publishing) The process of forming into pages; pagination.
- (codicology, publishing) The numbering of the folios of a manuscript or a book.
- The act of coating with an amalgam of tin foil and quicksilver, as in making looking-glasses.
- (geology) The property, possessed by some crystalline rocks, of being divided into plates or layers, due to the cleavage structure of one of the constituents, as mica or hornblende. It may sometimes include slaty structure or cleavage, though the latter is usually independent of any mineral constituent, and transverse to the bedding, it having been produced by pressure.
- (architecture) leaf-like architectural ornament
- the production of foil by cutting or beating metal into thin leaves
- the work of coating glass with metal foil
- (botany) the process of forming leaves
- (geology) the arrangement of leaflike layers in a rock
noun
- (topology) A topological space derived from another by taking the product of the original space with an interval and collapsing each end of the product to a point.
- (Scots law) A stay or postponement of the execution of a sentence, usually by letters of suspension granted on application to the Lord Ordinary.
- A temporary or conditional delay, interruption or discontinuation.
- Thus a kind of silt or sludge.
- The temporary barring of a person from a workplace, society, etc. pending investigation into alleged misconduct.
- (chemistry, physics) The state of a solid or substance produced when its particles are mixed with, but not dissolved in, a fluid, and are capable of separation by straining.
- (topology) A function derived, in a standard way, from another, such that the instant function’s domain and codomain are suspensions of the original function’s.
- (education) The process of barring a student from school grounds as a form of punishment (particularly out-of-school suspension).
- (music) The act of or discord produced by prolonging one or more tones of a chord into the chord which follows, thus producing a momentary discord, suspending the concord which the ear expects.
- (vehicles) The system of springs and shock absorbers connected to the wheels in an automobile, which allows the vehicle to move smoothly with reduced shock to its occupants.
- The act of keeping a person who is listening in doubt and expectation of what is to follow.
- The act of suspending, or the state of being suspended.
- the act of suspending something (hanging it from above so it moves freely)
- a temporary debarment (from a privilege or position etc.)
- a mechanical system of springs or shock absorbers connecting the wheels and axles to the chassis of a wheeled vehicle
- a time interval during which there is a temporary cessation of something
- temporary cessation or suspension
- an interruption in the intensity or amount of something
- a mixture in which fine particles are suspended in a fluid where they are supported by buoyancy
adj
- (mathematics, topology, of a topological space) That cannot be partitioned into two nonempty open sets.
- Having relationships; involved with others.
- Having or supporting connections, especially when through technology such as networking software or a transportation network.
- Intimate; having bonds of affection.
- (Canada, US) Involved with organized crime, specifically someone not (yet) working for a crime organization, but referred to as a "friend" by made guys/wise guys inside the organization.
- (mathematics, graph theory, of a graph) Having a path, either directed or undirected, connecting every pair of vertices.
- (usually with "well-"): Having favorable rapport with a powerful entity.
- being joined in close association
- stored in, controlled by, or in direct communication with a central computer
- plugged in
- wired together to an alarm system
- joined or linked together
verb
adj
- (mathematical analysis, of a topological space) Having a countable dense subset.
- (abstract algebra, of an algebra over a ring) Satisfying any of several technical conditions on the center of the algebra which generalize the situation of field extensions; see Separable algebra on Wikipedia.Wikipedia
- (mathematics, of a differential equation) Able to be brought to a form where all occurrences of the dependent and the independent variable are on opposite sides of the equal sign.
- (of a polynomial) Having no repeated roots (where roots are considered in an algebraic closure)
- Able to be separated.
- (Galois theory, of an algebraic field extension E/F) Such that the minimal polynomial of every element of E is a separable polynomial.
- capable of being divided or dissociated
adj
- (topology) Having each singleton subset open: said of a topological space or a topology.
- (audio engineering) Having separate and independent channels of audio, as opposed to multiplexed stereo or quadraphonic, or other multi-channel sound.
- Disjunctive; containing a disjunctive or discretive clause.
- That can be perceived individually, not as connected to, or part of, something else.
- (electrical engineering) Having separate electronic components, such as individual diodes, transistors and resistors, as opposed to integrated circuitry.
- Separate; distinct; individual; non-continuous.
- (mathematics) Consisting of or permitting only distinct values drawn from a finite, countable set.
- constituting a separate entity or part
adj
- (topology, of a topological space) Whose regular open sets form a base.
- (geometry, of a polyhedron or tessellation of the plane) Uniform (isogonal and isotoxal) with regular faces of two or more types, such that each vertex is surrounded by the same polygons in the same order.
- Somewhat regular; occasional.
adj
- (mathematics, of a topological space) That can be partitioned into two nonempty subsets which are both open and closed.
- That is no longer connected.
- Feeling a lack of empathy or association with something.
- Incoherent; disjointed.
- not plugged in or connected to a power source
- (music) marked by or composed of disconnected parts or sounds; cut short crisply
- marked by sudden changes in subject and sharp transitions
- lacking orderly continuity
- having been divided; having the unity destroyed