Parole in English per '(differential geometry) Synonym of transition function.'
Sopra trovi parole correlate a "(differential geometry) Synonym of transition function.". Porta il focus o il cursore su una parola per vedere la definizione.
Risultati di ricerca
noun
- (differential geometry) the formal adjoint of the exterior derivative; a differential-geometric version of the divergence operator; the exterior derivative sandwiched between two Hodge star operators with some additional factor(s) that take(s) care of the sign; the Hermitian conjugate of the exterior derivative under the inner product for k-form fields over some manifold M: (α,β)=∫_Mα∧⋆β, so that (α,dβ)=(δα,β).
- (mathematics) The projected differential of an extensor field.
adj
noun
- (multivariable calculus) The Jacobian matrix of a function of several variables.
- (calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f.
- Any of several generalizations of this concept to functions of several variables or to higher orders: the partial differential, total differential, Gateaux differential, etc.
- One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other.
- The differential gear in an automobile, etc.
- A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all.
- (differential geometry, of a smooth map ϕ between smooth manifolds) The pushforward or total derivative of ϕ: a linear map from the tangent space at a point x in ϕ's domain to the tangent space at ϕ(x) which is, in a technical sense, the best linear approximation of ϕ at x; denoted operatorname d!ϕₓ.
- (mathematics) Any of several generalizations of the concept(s) above: e.g. the Kähler differential in the setting of schemes, the quadratic differential in the theory of Riemann surfaces, etc.
- (calculus) A quantity representing an infinitesimal change in a variable, now only used as a heuristic aid except in nonstandard analysis but considered rigorous until the 20th century; a fluxion in Newtonian calculus, now usually written in Leibniz's notation as operatorname d!x.
- A qualitative or quantitative difference between similar or comparable things.
- a quality that differentiates between similar things
- a bevel gear that permits rotation of two shafts at different speeds; used on the rear axle of automobiles to allow wheels to rotate at different speeds on curves
- the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
noun
- (mathematics, differential geometry) A subset of the tangent bundle of a manifold that satisfies certain properties; used to construct the notions of integrability and foliation of a manifold.
- The result of distributing; arrangement.
- (rhetoric) A rhetorical technique in which a subject is divided into multiple cases based on some property or properties, and each case is addressed individually.
- (economics) The apportionment of income or wealth in a population.
- An apportionment by law (of funds, property).
- The total number of something sold or delivered to the clients.
- (logic) The resolution of a whole into its parts.
- (printing, historical) The process of sorting the types and placing them in their proper boxes in the cases.
- (finance) The process or result of the sale of securities, especially their placement among investors with long-term investment strategies.
- An act of distributing or state of being distributed.
- The frequency of occurrence or extent of existence.
- (card games) The way in which a player's hand is divided in suits, or in which a particular suit is divided between the players.
- (steam engines) The steps or operations by which steam is supplied to and withdrawn from the cylinder at each stroke of the piston: admission, suppression or cutting off, release or exhaust, and compression of exhaust steam prior to the next admission.
- (business, marketing) The process by which goods get to final consumers over a geographical market, including storing, selling, shipping and advertising.
- Anything distributed; portion; share.
- (software) A set of bundled software components.
- (mathematics, statistics) A probability distribution; the set of relative likelihoods that a variable will have a value in a given interval.
- the act of distributing or spreading or apportioning
- (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrence
- the commercial activity of transporting and selling goods from a producer to a consumer
- the spatial or geographic property of being scattered about over a range, area, or volume
verb
adj
- Curved or bowed outward like the outside of a bowl, circle, or sphere.
- (functional analysis, not comparable, of a real-valued function on the reals) having an epigraph that is a convex set.
- (geometry, not comparable, of a polygon) having no internal angles greater than 180 degrees.
- (mathematics, not comparable, of a set in Euclidean space) arranged such that for any two points in the set, a straight line between the two points is contained within the set.
- curving or bulging outward
noun
name
- (differential geometry) A formula which calculates the normal curvature of an arbitrary direction in the tangent plane in terms of the principal curvatures κ₁ and κ₂ and the angle θ which that direction makes with the first principal direction:
- (complex analysis) A formula which links complex exponentiation with trigonometric functions:
adj
- (mathematics) of or pertaining to the geometry of affine transformations
- (not comparable, geometry) Of or pertaining to a function expressible as f(⃑x)=A⃑x+⃑b (where A is a linear transformation and ⃑b is a constant), which, regarded as a transformation, maps parallel lines to parallel lines and finite points to finite points.
- (anthropology) related by marriage
- (comparable, chemistry) Of two materials, having mutual affinity.
- (not comparable, mathematics) Assigning finite values to finite quantities.
noun
verb
verb
noun
- A passing by small degrees from one tone or shade, as of color, to another.
- (music) A diatonic succession of chords.
- (phonetics) Ablaut.
- The act of gradating or arranging in grades.
- (music) A gradual change within one parameter, or an overlapping of two blocks of sound.
- (countable) A calibration marking.
- A sequence of gradual, successive stages; a systematic progression.
- Any degree or relative position in an order or series.
- relative position in a graded series
- the act of arranging in grades
- a degree of ablaut
noun
- (differential geometry) A homeomorphism that bijects between the subsets of the images of two overlapping coordinate charts that are shared in the preimage: For (U_1,φ₁) and (U_2,φ₂) coordinate charts with U_1∩U_2≠∅, the transition functions φ₁₂=φ₂∘φ₁⁻¹ and its inverse φ₂₁=φ₁∘φ₂⁻¹ may be constructed.
- (computing theory) A function from (state, input symbol) to state describing what state to move to on receiving a given input in a given state.
verb
- (transitive, mathematics, proscribed) To differentiate (a function).
- (transitive, linguistics) To find the derivation of (a word or phrase).
- (transitive, logic) To deduce (a conclusion) by reasoning.
- (transitive) To obtain or receive (something) from something else.
- (transitive, chemistry) To create (a compound) from another by means of a reaction.
- (intransitive) To originate or stem (from).
- To turn the course of (water, etc.); to divert and distribute into subordinate channels.
- come from; be connected by a relationship of blood, for example
- obtain
- develop or evolve from a latent or potential state
- obtain from a particular source
- reason by deduction; establish by deduction
verb
- (transitive) To contort.
- (transitive, slang) To cheat someone or ruin their chances in a game or other situation.
- (ambitransitive, vulgar, slang) To have sexual intercourse with.
- (colloquial, transitive) To give up on, to abandon, delay, to not think about someone or something.
- (transitive) To connect or assemble pieces using a screw.
- (soccer, transitive) To miskick (a ball) by hitting it with the wrong part of the foot.
- (billiards, snooker, pool) To screw back.
- (transitive) To extort or practice extortion upon; to oppress by unreasonable or extortionate exactions; to put the screws on.
- (colloquial, transitive, imperative, mildly vulgar) Used to express great displeasure with, or contemptuous dismissal of, someone or something.
- cause to penetrate, as with a circular motion
- have sexual intercourse with
- defeat someone through trickery or deceit
- tighten or fasten by means of screwing motions
- turn like a screw
noun
- (vulgar, slang) A casual sexual partner.
- (nautical) A ship's propeller.
- A (usually) metal fastener consisting of a partially or completely threaded shank, sometimes with a threaded point, and a head used to both hold the top material and to drive the screw either directly into a soft material or into a prepared hole.
- An Archimedes screw.
- (informal, in the plural, with "the") Rheumatism.
- (vulgar, slang) Sexual intercourse; the act of screwing.
- (mathematics) A straight line in space with which a definite linear magnitude termed the pitch is associated. It is used to express the displacement of a rigid body, which may always be made to consist of a rotation about an axis combined with a translation parallel to that axis.
- (slang, derogatory) A prison guard.
- (snooker, billiards) Backspin.
- (slang, derogatory) An extortioner; a sharp bargainer; a skinflint.
- An amphipod crustacean.
- A simple machine, a helical inclined plane.
- A steam vessel propelled by a screw instead of wheels.
- The motion of screwing something; a turn or twist to one side.
- a simple machine of the inclined-plane type consisting of a spirally threaded cylindrical rod that engages with a similarly threaded hole
- someone who guards prisoners
- a propeller with several angled blades that rotates to push against water or air
- slang for sexual intercourse
- a fastener with a tapered threaded shank and a slotted head
noun
- (differential geometry, topology) Synonym of coordinate chart.
- A ranked listing of competitors, as of recorded music.
- A map illustrating the geography of a specific phenomenon.
- A diagram.
- A graph.
- A written deed; a charter.
- A tabular presentation of data; a table.
- A navigator's map.
- A record of a patient's diagnosis, care instructions, and recent history.
- (usually plural) a listing of best-selling recorded music
- a visual display of information
- a map designed to assist navigation by air or sea
verb
- To enter (medical information) into a medical record.
- (transitive) To draw a chart or map of.
- (transitive) To draw or figure out (a route or plan).
- (intransitive, of a record or artist) To appear on a hit-recording chart.
- (transitive) To record systematically.
- make a chart of
- plan in detail
- represent by means of a graph
verb
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
noun
- (geometry) A transformation (of a Euclidean space) that preserves angles and the ratios of distances
- (philosophy) The relation of sharing properties.
- Closeness of appearance to something else.
- (mathematics, linear algebra) The property of two matrices being similar.
- a Gestalt principle of organization holding that (other things being equal) parts of a stimulus field that are similar to each other tend to be perceived as belonging together as a unit
- the quality of being similar
verb
- (transitive, mathematics, semantics) To map (a point or subset) to itself.
- (transitive, chess) To prevent enemy pawns from advancing by directly opposing the most advanced one with one of one's own pawns so as to threaten to capture any advancing backward pawns.
- (intransitive) To become firm, so as to resist volatilization; to cease to flow or be fluid; to congeal; to become hard and malleable, as a metallic substance.
- (transitive, informal) To take revenge on, to best; to serve justice on an assumed miscreant.
- (transitive) To mend, to repair.
- (transitive, US, informal) To surgically render an animal, especially a pet, infertile.
- (transitive) To attach; to affix; to hold in place or at a particular time.
- (transitive) To render (a photographic impression) permanent by treating with such applications as will make it insensitive to the action of light.
- (slang, intransitive) To shoot; to inject a drug.
- (transitive, figuratively, usually in the passive) To focus or determine (oneself, on a concept); to fixate.
- (transitive, chemistry, biology) To convert into a stable or available form.
- (ditransitive, informal) To prepare (food or drink).
- (hyperbolic, chiefly with would) To be immensely pleasurable to.
- (intransitive) To become fixed; to settle or remain permanently; to cease from wandering; to rest.
- (transitive) To make (a contest, vote, or gamble) unfair; to privilege one contestant or a particular group of contestants, usually before the contest begins; to arrange immunity for defendants by tampering with the justice system via bribery or extortion.
- prepare for eating by applying heat
- to be about to do something
- make fixed, stable or stationary
- restore by replacing a part or putting together what is torn or broken
- make infertile
- set or place definitely
- take vengeance on or get even
- kill, preserve, and harden (tissue) in order to prepare for microscopic study
- cause to be firmly attached
- make ready or suitable or equip in advance for a particular purpose or for some use, event, etc
- influence an event or its outcome by illegal means
- decide upon or fix definitely
- put (something somewhere) firmly
noun
- A repair or corrective action.
- (figurative, by extension) Something that satisfies a yearning or a craving.
- (aviation) A non-waypoint terrain feature used to make a determination of location.
- A prearrangement of the outcome of a supposedly competitive process, such as a sporting event, a game, an election, a trial, or a bid.
- (US) Fettlings (mixture used to line a furnace)
- (figurative, by extension) A compulsive desire or thrill.
- (slang) A single dose of a narcotic drug, especially when injected.
- A difficult situation; a quandary or dilemma; a predicament.
- An understanding, grasp of something.
- A determination of location.
- informal terms for a difficult situation
- something craved, especially an intravenous injection of a narcotic drug
- a determination of the place where something is
- the act of putting something in working order again
- an exemption granted after influence (e.g., money) is brought to bear
adj
- (mathematics) Of or pertaining to (the geometry of) a differentiable manifold equipped with a closed nondegenerate bilinear form.
- (petrology, mineralogy) Of or pertaining to a symplectite; symplectitic.
- (group theory, of a group) Whose characteristic abelian subgroups are cyclic.
- That moves in the same direction as a system of synchronized waves.
- (mathematics, multilinear algebra, of a vector space) That is equipped with an alternating nondegenerate bilinear form.
- (mathematics, multilinear algebra, of a bilinear form) That is alternating and nondegenerate.
- Placed in or among, as if woven together.
noun
adj
- (mathematical analysis) Being defined in terms of objects of differential calculus such as derivatives.
- Of, or relating to division into elements or principles.
- (mathematics, of a function) Being able to be locally represented by convergent power series around every point of the domain.
- (mathematics) Of, or relating to algebra or a similar method of analysis.
- (logic, of a proposition) that follows necessarily by definition; tautologous.
- Of, or relating to any form of analysis, or to analytics.
- (linguistics) Of a language, having a grammar principally dependent on the arrangement of uninflected function words within sentences to indicate meaning.
- Having the ability to analyse.
- using or skilled in using analysis (i.e., separating a whole — intellectual or substantial — into its elemental parts or basic principles)
- using or subjected to a methodology using algebra and calculus
- expressing a grammatical category by using two or more words rather than inflection
- of a proposition that is necessarily true independent of fact or experience
noun
- (differential geometry) The map between cotangent bundles of manifolds corresponding to a smooth map between smooth manifolds, which at each point is the dual map to the corresponding pushforward.
- (film) The act of drawing a camera back to broaden the visible scene.
- A certain move in tap dance.
- (historical) A device for making a woman's gown hang close and straight in front.
- (category theory) The limit of a cospan: a Cartesian square or “pullback square”.
- The act or result of pulling back; a withdrawal.
- (finance) A reduction in the price of a financial instrument after reaching a peak
- (category theory) Within a Cartesian square (which has a pair of divergent morphisms and a pair of convergent morphisms) the divergent morphism which is directly opposite to a given one of the convergent morphisms, said to be “along” the convergent morphism which is between that pair of opposite morphisms. (The pullback is said to be “of” the given morphism.)
- (sports) An attacking pass from the wing into a position further from the attacking goal line.
- (military) the act of pulling back (especially an orderly withdrawal of troops)
- a device (as a decorative loop of cord or fabric) for holding or drawing something back
verb
- (transitive, mathematics) To subject to a transformation; to change into another form without altering the value.
- (transitive) To change the nature, condition or function of; to change in nature, disposition, heart, character, etc.; to convert.
- (transitive, genetics) To subject (a cell) to transformation.
- (intransitive) To undergo a transformation; to change in appearance or character.
- (transitive) To change greatly the appearance or form of.
- (transitive, electricity) To subject to the action of a transformer.
- change from one form or medium into another
- change in outward structure or looks
- increase or decrease (an alternating current or voltage)
- change or alter in form, appearance, or nature
- change (a bacterial cell) into a genetically distinct cell by the introduction of DNA from another cell of the same or closely related species
- convert (one form of energy) to another
- subject to a mathematical transformation
noun
verb
- (transitive, mathematics) To give rise to a geometrical structure.
- (transitive) To represent by drawing; to draw a plan of; to delineate; to trace or mark out.
- (transitive, taxonomy) To introduce a new taxon to science by explaining its characteristics and particularly how it differs from other taxa.
- (transitive) To represent in words.
- make a mark or lines on a surface
- identify as in botany or biology, for example
- to give an account or representation of in words
- give a description of
verb
- (transitive, mathematics) To form a figure from a curve or solid.
- (transitive) To bring into being; give rise to.
- (intransitive) To appear or occur; be generated.
- (transitive) To procreate, beget.
- (transitive) To produce as a result of a chemical or physical process.
- make (offspring) by reproduction
- produce (energy)
- produce, create
- give or supply
adj
adj
- (mathematics) Of or relating to a partial derivative or partial differential.
- (botany) Subordinate.
- Biased in favor of a person, side, or point of view, especially when dealing with a competition or dispute.
- (crosswording, of a clue) Having a wordplay element, but no definition.
- (followed by the preposition to) Having a predilection for something.
- (computer science) Describing a property that holds only when an algorithm terminates.
- Existing as a part or portion; incomplete.
- (followed by ‘of’ or ‘to’) having a strong preference or liking for
- being or affecting only a part; not total
- constituting or comprising a part or fraction of a possible whole or entirety
- showing favoritism
noun
- (dentistry) dentures that replace only some of the natural teeth
- (bodybuilding) The condition of not exhausting the amplitude during the repetition of an exercise.
- (forensics) An incomplete fingerprint
- (furry fandom) A fursuit that does not fully cover the wearer's body.
- (programming, Internet) A fragment of a template containing markup.
- (mathematics) A partial derivative: a derivative with respect to one independent variable of a function in multiple variables while holding the other variables constant.
- (music) Any of the sine waves which make up a complex tone; often an overtone or harmonic of the fundamental.
- the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant
- a harmonic with a frequency that is a multiple of the fundamental frequency
verb
noun
- (mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.
- (mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign.
- (specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
- (mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;
- the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
adj
- Constituting a whole together with other parts or factors; not omittable or removable.
- (mathematics) Relating to integration (“the process of finding the integral [noun] of a function”).
- (algebra, commutative algebra, of a ring element in a ring B relative to a subring A) Being the root of some monic polynomial in A.
- (mathematics) Of, pertaining to, or being an integer.
- constituting the undiminished entirety; lacking nothing essential especially not damaged
- of or denoted by an integer
- existing as an essential constituent or characteristic
verb
- (transitive) To shape something into a curve.
- (intransitive) To turn and attack someone or something (used with on).
- (with "out") To finish; to complete; to fill out; see also round out.
- To grow round or full; hence, to attain to fullness, completeness, or perfection.
- (medicine, colloquial) To do ward rounds.
- (transitive) To turn past a boundary.
- To encircle; to encompass.
- (transitive, baseball) To advance to home plate.
- (intransitive) To become shaped into a curve.
- (transitive, intransitive) To approximate (a number, especially a decimal number) by the closest whole number, or some other close number, especially a whole number of hundreds, thousands, etc.; see also round down, round up.
- (transitive) To go round, pass, go past.
- make round
- become round, plump, or shapely
- pronounce with rounded lips
- express as a round number
- wind around; move along a circular course
- attack in speech or writing
- bring to a highly developed, finished, or refined state
adj
- Circular or cylindrical; having a circular cross-section in one direction.
- Complete, whole, not lacking.
- Outspoken; plain and direct; unreserved; not mincing words.
- Returning to its starting point.
- Finished; polished; not defective or abrupt; said of authors or their writing style.
- (phonetics) Pronounced with the lips drawn together; rounded.
- Spherical; shaped like a ball; having a circular cross-section in more than one direction.
- (architecture) Vaulted.
- Lacking sharp angles; having gentle curves.
- Plump.
- (authorship, of a fictional character) Well-written and well-characterized; complex and reminiscent of a real person.
- Loosely or approximately circular.
- Large in magnitude.
- (of a number) Convenient for rounding other numbers to; for example, ending in a zero.
- (of sounds) full and rich
- having the shape or form of a circle
- (mathematics) expressed to the nearest integer, ten, hundred, or thousand
adv
noun
- Rotation, as in office; succession.
- A brewer's vessel in which the fermentation is concluded, the yeast escaping through the bunghole.
- (sports) One of the specified pre-determined segments of the total time of a sport event, such as a boxing or wrestling match, during which contestants compete before being signaled to stop.
- A series of changes or events ending where it began; a series of like events recurring in continuance; a cycle; a periodical revolution.
- A general outburst from a group of people at an event.
- (butchery) The hindquarters of a bovine; a round of beef.
- A course of action or conduct performed by a number of persons in turn, or one after another, as if seated in a circle.
- A general discharge of firearms by a body of troops in which each soldier fires once.
- (engineering, drafting, CAD) A rounded relief or cut at an edge, especially an outside edge, added for a finished appearance and to soften sharp edges.
- A firearm cartridge, bullet, or any individual ammunition projectile. Originally referring to the spherical projectile ball of a smoothbore firearm. Compare round shot and solid shot.
- (UK) One slice of bread.
- A strip of material with a circular face that covers an edge, gap, or crevice for decorative, sanitary, or security purposes.
- (art) A long-bristled, circular-headed paintbrush used in oil and acrylic painting.
- (countable, music) A song that is sung by groups of people with each subset of people starting at a different time.
- A circular or repetitious route.
- (sports) In some sports, e.g. golf or showjumping: one complete way around the course.
- A crosspiece that joins and braces the legs of a chair.
- A circular dance.
- (nautical) A round-top.
- A series of duties or tasks which must be performed in turn, and then repeated.
- A serving of something; a portion of something to each person in a group.
- (card games) The play after each deal.
- One sandwich (two full slices of bread with filling).
- (sports) A stage in a competition.
- An assembly; a group; a circle.
- (video games) A stage or level of a game.
- A circular or spherical object or part of an object.
- A single individual portion or dose of medicine.
- (sports) a division of a game during which one team is on the offensive
- a regular route for a sentry or policeman
- an outburst of applause
- any circular or rotating mechanism
- the course along which communications spread
- the activity of playing 18 holes of golf
- a partsong in which voices follow each other; one voice starts and others join in one after another until all are singing different parts of the song at the same time
- a cut of beef between the rump and the lower leg
- a charge of ammunition for a single shot
- (often plural) a series of professional calls (usually in a set order)
- a serving to each of a group (usually alcoholic)
- a crosspiece between the legs of a chair
- the usual activities in your day
- an interval during which a recurring sequence of events occurs
prep
adj
- (calculus, not comparable) Having a derivative, said of a function whose domain and codomain are manifolds.
- (comparable, of multiple items) able to be differentiated; distinguishable, as for example by differing appearance or measurable characteristics.
- possessing a differential coefficient or derivative
- capable of being perceived as different
verb
- (mathematics) To calculate the differential of a function of multiple variables.
- (mathematics) To calculate the derivative of a function.
- To recognize as different or distinct.
- (transitive, intransitive, often in the passive voice, biology) To (cause to) go through a process of development called differentiation; to make or become different in form or function.
- To modify so as to create a difference or distinction.
- To show or be the difference or distinction between things.
- To perceive the difference between things; to discriminate.
- (education) To teach a lesson in multiple different ways in order to meet the needs of more or less advanced students.
- become distinct and acquire a different character
- evolve so as to lead to a new species or develop in a way most suited to the environment
- be a distinctive feature, attribute, or trait; sometimes in a very positive sense
- mark as different
- calculate a derivative; take the derivative
- become different during development
noun
verb
- (transitive, algebra) To move (a term) from one side of an algebraic equation to the other, reversing the sign of the term.
- (transitive, graph theory) To reverse the direction of every edge of (a graph).
- (transitive, law, chiefly of the European Union) To give force to a directive by passing appropriate implementation measures.
- (intransitive, chess) To reach a position that may also be obtained from a different move order.
- (transitive, music) To rewrite or perform (a piece) in another key.
- (transitive) To reverse or change the order of (two or more things); to swap or interchange.
- (transitive, linear algebra) To rearrange elements in a matrix, by interchanging their respective row and column positional indicators.
- put (a piece of music) into another key
- cause to change places
- change the order or arrangement of
- transfer a quantity from one side of an equation to the other side reversing its sign, in order to maintain equality
- transfer from one place or period to another
- change key
- exchange positions without a change in value
adj
noun
- (graph theory) A graph whose every edge has had its direction reversed.
- (linear algebra) The matrix derived from performing a transpose operation on a given matrix.
- (linear algebra) The process of rearranging elements in a matrix, by interchanging their respective row and column positional indicators.
- a matrix formed by interchanging the rows and columns of a given matrix
verb
noun
- (countable) Proper or equal share.
- (countable, chiefly in the plural) Size.
- (mathematics, countable) A statement of equality between two ratios.
- The relation of one part to another or to the whole with respect to magnitude, quantity, or degree.
- (uncountable) Harmonious relation of parts to each other or to the whole.
- (countable) A quantity of something that is part of the whole amount or number.
- the relation between things (or parts of things) with respect to their comparative quantity, magnitude, or degree
- balance among the parts of something
- the quotient obtained when the magnitude of a part is divided by the magnitude of the whole
- harmonious arrangement or relation of parts or elements within a whole (as in a design)
- magnitude or extent
verb
- (transitive, also mathematics) To extend or stretch opposite something; to be part of a straight or curved line that is opposite to and delimits an angle.
- (transitive, mathematics) To form the central angle of a circle underneath an arc.
- (botany, transitive) To stand beneath or close to, as a bract at the base of a flower.
- (transitive, mathematics) To use an angle to delimit (mark off, enclose) part of a straight or curved line, for example an arc or the opposite side of a triangle.
- be opposite to; of angles and sides, in geometry
verb
- (transitive) To change (something) from one use, function, or purpose to another.
- (transitive, cricket) To increase one's individual score, especially from 50 runs (a fifty) to 100 runs (a century), or from a century to a double or triple century.
- (transitive) To transform or change (something) into another form, substance, state, or product.
- (transitive) To induce (someone) to adopt a particular religion, faith, ideology or belief (see also sense 12).
- (transitive) To express (a quantity) in alternative units.
- (transitive, logic) To change (one proposition) into another, so that what was the subject of the first becomes the predicate of the second.
- (intransitive, ten-pin bowling) To score a spare.
- (ambitransitive, rugby football) To score extra points after (a try) by completing a conversion.
- (intransitive) To undergo a conversion of religion, faith or belief (see also sense 3).
- (transitive) To exchange for something of equal value.
- (transitive or intransitive, soccer) To score (especially a penalty kick).
- (intransitive) To become converted.
- (intransitive, marketing) To perform the action that an online advertisement is intended to induce; to reach the point of conversion.
- (ambitransitive, chess) To transform a material or positional advantage into a win.
- (transitive, law) To appropriate wrongfully or unlawfully; to commit the common law tort of conversion.
- (transitive) To express (a unit of measurement) in terms of another; to furnish a mathematical formula by which a quantity, expressed in the former unit, may be given in the latter.
- (American football) To score extra points following a touchdown.
- cause to adopt a new or different faith
- change the nature, purpose, or function of something
- change in nature, purpose, or function; undergo a chemical change
- change from one system to another or to a new plan or policy
- change religious beliefs, or adopt a religious belief
- exchange or replace with another, usually of the same kind or category
- exchange a penalty for a less severe one
- score an extra point or points after touchdown by kicking the ball through the uprights or advancing the ball into the end zone
- make (someone) agree, understand, or realize the truth or validity of something
noun
- Anyone who has converted from being one thing to being another.
- (Canadian football) The equivalent of a conversion in rugby
- A person who has converted to a religion.
- A person who is now in favour of something that they previously opposed or disliked.
- a person who has been converted to another religious or political belief
verb
noun
- (logic) A syntactically correct expression that is deducible from the given axioms of a deductive system.
- (mathematics) A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas.
- (mathematics, colloquial, nonstandard) A mathematical statement that is expected to be true.
- a proposition deducible from basic postulates
- an idea accepted as a demonstrable truth
verb
- (transitive) To bend or curve.
- (intransitive) To crouch; to cringe.
- (transitive) To furnish (a well etc.) with a curb; to restrain (a bank of earth, etc.) by a curb.
- (transitive) To bring to a stop beside a curb.
- (transitive, slang) Ellipsis of curb stomp.
- (transitive) To rein in.
- (transitive) To check, restrain or control.
- (transitive) To damage vehicle wheels or tires by running into or over a pavement curb.
- keep to the curb
- lessen the intensity of; temper; hold in restraint; hold or keep within limits
- place restrictions on
noun
- A raised margin along the edge of something, such as a well or the eye of a dome, as a strengthening.
- (figurative) Something that checks or restrains; a restraint.
- A concrete margin along the edge of a road; a kerb (UK, Australia, New Zealand).
- (Canada, US) A sidewalk, covered or partially enclosed, bordering the airport terminal road system with adjacent paved areas to permit vehicles to off-load or load passengers.
- (equestrianism) A riding or driving bit for a horse that has rein action which amplifies the pressure in the mouth by leverage advantage placing pressure on the poll via the crown piece of the bridle and chin groove via a curb chain.
- A swelling on the back part of the hind leg of a horse, just behind the lowest part of the hock joint, generally causing lameness.
- an edge between a sidewalk and a roadway consisting of a line of curbstones (usually forming part of a gutter)
- a horse's bit with an attached chain or strap to check the horse
- the act of restraining power or action or limiting excess
verb
- (transitive, geometry) To perform an alternation (removal of alternate vertices) on (a polytope or tessellation); to remove vertices (from a face or edge) as part of an alternation.
- (intransitive) To happen, succeed, or act by turns; to follow reciprocally in place or time; followed by with.
- (transitive) To perform by turns, or in succession; to cause to succeed by turns; to interchange regularly.
- (intransitive) To vary by turns.
- exchange people temporarily to fulfill certain jobs and functions
- be an understudy or alternate for a role
- do something in turns
- go back and forth; swing back and forth between two states or conditions
- reverse (a direction, attitude, or course of action)
adj
- (US) Other; alternative.
- Happening by turns; one following the other in succession of time or place; first one and then the other (repeatedly).
- (heraldry) Alternating; (of e.g. a pair of tinctures which a charge is coloured) succeeding in turns, or (relative to the field) counterchanged.
- (mathematics) Designating the members in a series, which regularly intervene between the members of another series, as the odd or even numbers of the numerals; every other; every second.
- (botany, of leaves) Distributed singly at different heights of the stem, and at equal intervals as respects angular divergence
- occurring by turns; first one and then the other
- every second one of a series
- of leaves and branches etc.; first on one side and then on the other in two ranks along an axis; not paired
- serving or used in place of another
noun
- That which alternates with something else; vicissitude.
- (US) A replacement of equal or greater value or function.
- (US) A substitute; an alternative; one designated to take the place of another, if necessary, in performing some duty.
- (mathematics) A proportion derived from another proportion by interchanging the means.
- someone who takes the place of another person
verb
- (transitive, mathematics) To simplify an equation or formula without changing its value.
- (transitive) To bring to an inferior rank; to degrade, to demote.
- (intransitive) To lose weight.
- (transitive, Scots law) To annul by legal means.
- (transitive, military) To reform a line or column from (a square).
- (transitive) To be forced by circumstances (into something one considers unworthy).
- (transitive, metallurgy) To produce metal from ore by removing nonmetallic elements in a smelter.
- (transitive) To bring down the size, quantity, quality, value or intensity of something; to diminish, to lower.
- (transitive, medicine) To perform a reduction; to restore a fracture or dislocation to the correct alignment.
- (transitive, law) To convert to written form. (Usage note: this verb almost always appears as "reduce to writing".)
- (transitive) To humble; to conquer; to subdue; to capture.
- (transitive) To bring to an inferior state or condition.
- (transitive, computer science) To express the solution of a problem in terms of another (known) algorithm.
- (transitive, military) To strike off the payroll.
- (transitive, phonetics, phonology) To pronounce (a sound or word) with less effort.
- (transitive, chemistry) To add electrons / hydrogen or to remove oxygen.
- (transitive, cooking) To decrease the liquid content of (a food) by boiling much of its water off.
- (transitive, logic) To convert a syllogism to a clearer or simpler form.
- to remove oxygen from a compound, or cause to react with hydrogen or form a hydride, or to undergo an increase in the number of electrons
- cook until very little liquid is left
- lessen and make more modest
- be cooked until very little liquid is left
- reduce in size; reduce physically
- lessen the strength or flavor of a solution or mixture
- reposition (a broken bone after surgery) back to its normal site
- reduce in scope while retaining essential elements
- be the essential element
- cut down on; make a reduction in
- make smaller
- lower in grade or rank or force somebody into an undignified situation
- make less complex
- simplify the form of a mathematical equation of expression by substituting one term for another
- narrow or limit
- undergo meiosis
- put down by force or intimidation
- bring to humbler or weaker state or condition
- destress and thus weaken a sound when pronouncing it
- take off weight
verb
noun
- (figurative) A general description giving the most important points.
- An outline, boundary or border, usually of curved shape.
- (linguistics) a speech sound which behaves as a single segment, but which makes an internal transition from one quality, place, or manner to another.
- A line on a map or chart delineating those points which have the same altitude or other plotted quantity: a contour line or isopleth; (metonymically) the landform or its surface.
- any spatial attributes (especially as defined by outline)
- a feature (or the order or arrangement of features) of anything having a complex structure
- a line drawn on a map connecting points of equal height
verb
- (transitive, mathematics) To determine the length of a curve included between two limits.
- (transitive) To correct or amend (a mistake, defect etc.).
- (transitive) To produce (as factitious gin or brandy) by redistilling bad wines or strong spirits (whisky, rum, etc.) with flavourings.
- (transitive, geodesy, historical) To adjust (a globe or sundial) to prepare for the solution of a proposed problem.
- (transitive) To restore (someone or something) to its proper condition; to straighten out, to set right.
- (transitive, electronics) To convert (alternating current) into direct current.
- (transitive) To remedy or fix (an undesirable state of affairs, situation etc.).
- (transitive, chemistry) To purify or refine (a substance) by distillation.
- make right or correct
- convert into direct current
- determine the length of
- reduce to a fine, unmixed, or pure state; separate from extraneous matter or cleanse from impurities
- bring, lead, or force to abandon a wrong or evil course of life, conduct, and adopt a right one
- set straight or right
noun
- (differential geometry) the formal adjoint of the exterior derivative; a differential-geometric version of the divergence operator; the exterior derivative sandwiched between two Hodge star operators with some additional factor(s) that take(s) care of the sign; the Hermitian conjugate of the exterior derivative under the inner product for k-form fields over some manifold M: (α,β)=∫_Mα∧⋆β, so that (α,dβ)=(δα,β).
- (mathematics) The projected differential of an extensor field.
noun
- (mathematics, differential geometry) A subset of the tangent bundle of a manifold that satisfies certain properties; used to construct the notions of integrability and foliation of a manifold.
- The result of distributing; arrangement.
- (rhetoric) A rhetorical technique in which a subject is divided into multiple cases based on some property or properties, and each case is addressed individually.
- (economics) The apportionment of income or wealth in a population.
- An apportionment by law (of funds, property).
- The total number of something sold or delivered to the clients.
- (logic) The resolution of a whole into its parts.
- (printing, historical) The process of sorting the types and placing them in their proper boxes in the cases.
- (finance) The process or result of the sale of securities, especially their placement among investors with long-term investment strategies.
- An act of distributing or state of being distributed.
- The frequency of occurrence or extent of existence.
- (card games) The way in which a player's hand is divided in suits, or in which a particular suit is divided between the players.
- (steam engines) The steps or operations by which steam is supplied to and withdrawn from the cylinder at each stroke of the piston: admission, suppression or cutting off, release or exhaust, and compression of exhaust steam prior to the next admission.
- (business, marketing) The process by which goods get to final consumers over a geographical market, including storing, selling, shipping and advertising.
- Anything distributed; portion; share.
- (software) A set of bundled software components.
- (mathematics, statistics) A probability distribution; the set of relative likelihoods that a variable will have a value in a given interval.
- the act of distributing or spreading or apportioning
- (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrence
- the commercial activity of transporting and selling goods from a producer to a consumer
- the spatial or geographic property of being scattered about over a range, area, or volume
noun
- (differential geometry) A homeomorphism that bijects between the subsets of the images of two overlapping coordinate charts that are shared in the preimage: For (U_1,φ₁) and (U_2,φ₂) coordinate charts with U_1∩U_2≠∅, the transition functions φ₁₂=φ₂∘φ₁⁻¹ and its inverse φ₂₁=φ₁∘φ₂⁻¹ may be constructed.
- (computing theory) A function from (state, input symbol) to state describing what state to move to on receiving a given input in a given state.
noun
- (differential geometry, topology) Synonym of coordinate chart.
- A ranked listing of competitors, as of recorded music.
- A map illustrating the geography of a specific phenomenon.
- A diagram.
- A graph.
- A written deed; a charter.
- A tabular presentation of data; a table.
- A navigator's map.
- A record of a patient's diagnosis, care instructions, and recent history.
- (usually plural) a listing of best-selling recorded music
- a visual display of information
- a map designed to assist navigation by air or sea
verb
- To enter (medical information) into a medical record.
- (transitive) To draw a chart or map of.
- (transitive) To draw or figure out (a route or plan).
- (intransitive, of a record or artist) To appear on a hit-recording chart.
- (transitive) To record systematically.
- make a chart of
- plan in detail
- represent by means of a graph
noun
- (geometry) A transformation (of a Euclidean space) that preserves angles and the ratios of distances
- (philosophy) The relation of sharing properties.
- Closeness of appearance to something else.
- (mathematics, linear algebra) The property of two matrices being similar.
- a Gestalt principle of organization holding that (other things being equal) parts of a stimulus field that are similar to each other tend to be perceived as belonging together as a unit
- the quality of being similar
noun
- (differential geometry) The map between cotangent bundles of manifolds corresponding to a smooth map between smooth manifolds, which at each point is the dual map to the corresponding pushforward.
- (film) The act of drawing a camera back to broaden the visible scene.
- A certain move in tap dance.
- (historical) A device for making a woman's gown hang close and straight in front.
- (category theory) The limit of a cospan: a Cartesian square or “pullback square”.
- The act or result of pulling back; a withdrawal.
- (finance) A reduction in the price of a financial instrument after reaching a peak
- (category theory) Within a Cartesian square (which has a pair of divergent morphisms and a pair of convergent morphisms) the divergent morphism which is directly opposite to a given one of the convergent morphisms, said to be “along” the convergent morphism which is between that pair of opposite morphisms. (The pullback is said to be “of” the given morphism.)
- (sports) An attacking pass from the wing into a position further from the attacking goal line.
- (military) the act of pulling back (especially an orderly withdrawal of troops)
- a device (as a decorative loop of cord or fabric) for holding or drawing something back
noun
- (mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.
- (mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign.
- (specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
- (mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;
- the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
adj
- Constituting a whole together with other parts or factors; not omittable or removable.
- (mathematics) Relating to integration (“the process of finding the integral [noun] of a function”).
- (algebra, commutative algebra, of a ring element in a ring B relative to a subring A) Being the root of some monic polynomial in A.
- (mathematics) Of, pertaining to, or being an integer.
- constituting the undiminished entirety; lacking nothing essential especially not damaged
- of or denoted by an integer
- existing as an essential constituent or characteristic
verb
adj
- Curved or bowed outward like the outside of a bowl, circle, or sphere.
- (functional analysis, not comparable, of a real-valued function on the reals) having an epigraph that is a convex set.
- (geometry, not comparable, of a polygon) having no internal angles greater than 180 degrees.
- (mathematics, not comparable, of a set in Euclidean space) arranged such that for any two points in the set, a straight line between the two points is contained within the set.
- curving or bulging outward
noun
verb
noun
- A passing by small degrees from one tone or shade, as of color, to another.
- (music) A diatonic succession of chords.
- (phonetics) Ablaut.
- The act of gradating or arranging in grades.
- (music) A gradual change within one parameter, or an overlapping of two blocks of sound.
- (countable) A calibration marking.
- A sequence of gradual, successive stages; a systematic progression.
- Any degree or relative position in an order or series.
- relative position in a graded series
- the act of arranging in grades
- a degree of ablaut
verb
- (transitive, mathematics, proscribed) To differentiate (a function).
- (transitive, linguistics) To find the derivation of (a word or phrase).
- (transitive, logic) To deduce (a conclusion) by reasoning.
- (transitive) To obtain or receive (something) from something else.
- (transitive, chemistry) To create (a compound) from another by means of a reaction.
- (intransitive) To originate or stem (from).
- To turn the course of (water, etc.); to divert and distribute into subordinate channels.
- come from; be connected by a relationship of blood, for example
- obtain
- develop or evolve from a latent or potential state
- obtain from a particular source
- reason by deduction; establish by deduction
verb
- (transitive) To contort.
- (transitive, slang) To cheat someone or ruin their chances in a game or other situation.
- (ambitransitive, vulgar, slang) To have sexual intercourse with.
- (colloquial, transitive) To give up on, to abandon, delay, to not think about someone or something.
- (transitive) To connect or assemble pieces using a screw.
- (soccer, transitive) To miskick (a ball) by hitting it with the wrong part of the foot.
- (billiards, snooker, pool) To screw back.
- (transitive) To extort or practice extortion upon; to oppress by unreasonable or extortionate exactions; to put the screws on.
- (colloquial, transitive, imperative, mildly vulgar) Used to express great displeasure with, or contemptuous dismissal of, someone or something.
- cause to penetrate, as with a circular motion
- have sexual intercourse with
- defeat someone through trickery or deceit
- tighten or fasten by means of screwing motions
- turn like a screw
noun
- (vulgar, slang) A casual sexual partner.
- (nautical) A ship's propeller.
- A (usually) metal fastener consisting of a partially or completely threaded shank, sometimes with a threaded point, and a head used to both hold the top material and to drive the screw either directly into a soft material or into a prepared hole.
- An Archimedes screw.
- (informal, in the plural, with "the") Rheumatism.
- (vulgar, slang) Sexual intercourse; the act of screwing.
- (mathematics) A straight line in space with which a definite linear magnitude termed the pitch is associated. It is used to express the displacement of a rigid body, which may always be made to consist of a rotation about an axis combined with a translation parallel to that axis.
- (slang, derogatory) A prison guard.
- (snooker, billiards) Backspin.
- (slang, derogatory) An extortioner; a sharp bargainer; a skinflint.
- An amphipod crustacean.
- A simple machine, a helical inclined plane.
- A steam vessel propelled by a screw instead of wheels.
- The motion of screwing something; a turn or twist to one side.
- a simple machine of the inclined-plane type consisting of a spirally threaded cylindrical rod that engages with a similarly threaded hole
- someone who guards prisoners
- a propeller with several angled blades that rotates to push against water or air
- slang for sexual intercourse
- a fastener with a tapered threaded shank and a slotted head
verb
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
- (transitive, mathematics, semantics) To map (a point or subset) to itself.
- (transitive, chess) To prevent enemy pawns from advancing by directly opposing the most advanced one with one of one's own pawns so as to threaten to capture any advancing backward pawns.
- (intransitive) To become firm, so as to resist volatilization; to cease to flow or be fluid; to congeal; to become hard and malleable, as a metallic substance.
- (transitive, informal) To take revenge on, to best; to serve justice on an assumed miscreant.
- (transitive) To mend, to repair.
- (transitive, US, informal) To surgically render an animal, especially a pet, infertile.
- (transitive) To attach; to affix; to hold in place or at a particular time.
- (transitive) To render (a photographic impression) permanent by treating with such applications as will make it insensitive to the action of light.
- (slang, intransitive) To shoot; to inject a drug.
- (transitive, figuratively, usually in the passive) To focus or determine (oneself, on a concept); to fixate.
- (transitive, chemistry, biology) To convert into a stable or available form.
- (ditransitive, informal) To prepare (food or drink).
- (hyperbolic, chiefly with would) To be immensely pleasurable to.
- (intransitive) To become fixed; to settle or remain permanently; to cease from wandering; to rest.
- (transitive) To make (a contest, vote, or gamble) unfair; to privilege one contestant or a particular group of contestants, usually before the contest begins; to arrange immunity for defendants by tampering with the justice system via bribery or extortion.
- prepare for eating by applying heat
- to be about to do something
- make fixed, stable or stationary
- restore by replacing a part or putting together what is torn or broken
- make infertile
- set or place definitely
- take vengeance on or get even
- kill, preserve, and harden (tissue) in order to prepare for microscopic study
- cause to be firmly attached
- make ready or suitable or equip in advance for a particular purpose or for some use, event, etc
- influence an event or its outcome by illegal means
- decide upon or fix definitely
- put (something somewhere) firmly
noun
- A repair or corrective action.
- (figurative, by extension) Something that satisfies a yearning or a craving.
- (aviation) A non-waypoint terrain feature used to make a determination of location.
- A prearrangement of the outcome of a supposedly competitive process, such as a sporting event, a game, an election, a trial, or a bid.
- (US) Fettlings (mixture used to line a furnace)
- (figurative, by extension) A compulsive desire or thrill.
- (slang) A single dose of a narcotic drug, especially when injected.
- A difficult situation; a quandary or dilemma; a predicament.
- An understanding, grasp of something.
- A determination of location.
- informal terms for a difficult situation
- something craved, especially an intravenous injection of a narcotic drug
- a determination of the place where something is
- the act of putting something in working order again
- an exemption granted after influence (e.g., money) is brought to bear
verb
- (transitive, mathematics) To subject to a transformation; to change into another form without altering the value.
- (transitive) To change the nature, condition or function of; to change in nature, disposition, heart, character, etc.; to convert.
- (transitive, genetics) To subject (a cell) to transformation.
- (intransitive) To undergo a transformation; to change in appearance or character.
- (transitive) To change greatly the appearance or form of.
- (transitive, electricity) To subject to the action of a transformer.
- change from one form or medium into another
- change in outward structure or looks
- increase or decrease (an alternating current or voltage)
- change or alter in form, appearance, or nature
- change (a bacterial cell) into a genetically distinct cell by the introduction of DNA from another cell of the same or closely related species
- convert (one form of energy) to another
- subject to a mathematical transformation
noun
verb
- (transitive, mathematics) To give rise to a geometrical structure.
- (transitive) To represent by drawing; to draw a plan of; to delineate; to trace or mark out.
- (transitive, taxonomy) To introduce a new taxon to science by explaining its characteristics and particularly how it differs from other taxa.
- (transitive) To represent in words.
- make a mark or lines on a surface
- identify as in botany or biology, for example
- to give an account or representation of in words
- give a description of
verb
- (transitive, mathematics) To form a figure from a curve or solid.
- (transitive) To bring into being; give rise to.
- (intransitive) To appear or occur; be generated.
- (transitive) To procreate, beget.
- (transitive) To produce as a result of a chemical or physical process.
- make (offspring) by reproduction
- produce (energy)
- produce, create
- give or supply
adj
verb
- (transitive) To shape something into a curve.
- (intransitive) To turn and attack someone or something (used with on).
- (with "out") To finish; to complete; to fill out; see also round out.
- To grow round or full; hence, to attain to fullness, completeness, or perfection.
- (medicine, colloquial) To do ward rounds.
- (transitive) To turn past a boundary.
- To encircle; to encompass.
- (transitive, baseball) To advance to home plate.
- (intransitive) To become shaped into a curve.
- (transitive, intransitive) To approximate (a number, especially a decimal number) by the closest whole number, or some other close number, especially a whole number of hundreds, thousands, etc.; see also round down, round up.
- (transitive) To go round, pass, go past.
- make round
- become round, plump, or shapely
- pronounce with rounded lips
- express as a round number
- wind around; move along a circular course
- attack in speech or writing
- bring to a highly developed, finished, or refined state
adj
- Circular or cylindrical; having a circular cross-section in one direction.
- Complete, whole, not lacking.
- Outspoken; plain and direct; unreserved; not mincing words.
- Returning to its starting point.
- Finished; polished; not defective or abrupt; said of authors or their writing style.
- (phonetics) Pronounced with the lips drawn together; rounded.
- Spherical; shaped like a ball; having a circular cross-section in more than one direction.
- (architecture) Vaulted.
- Lacking sharp angles; having gentle curves.
- Plump.
- (authorship, of a fictional character) Well-written and well-characterized; complex and reminiscent of a real person.
- Loosely or approximately circular.
- Large in magnitude.
- (of a number) Convenient for rounding other numbers to; for example, ending in a zero.
- (of sounds) full and rich
- having the shape or form of a circle
- (mathematics) expressed to the nearest integer, ten, hundred, or thousand
adv
noun
- Rotation, as in office; succession.
- A brewer's vessel in which the fermentation is concluded, the yeast escaping through the bunghole.
- (sports) One of the specified pre-determined segments of the total time of a sport event, such as a boxing or wrestling match, during which contestants compete before being signaled to stop.
- A series of changes or events ending where it began; a series of like events recurring in continuance; a cycle; a periodical revolution.
- A general outburst from a group of people at an event.
- (butchery) The hindquarters of a bovine; a round of beef.
- A course of action or conduct performed by a number of persons in turn, or one after another, as if seated in a circle.
- A general discharge of firearms by a body of troops in which each soldier fires once.
- (engineering, drafting, CAD) A rounded relief or cut at an edge, especially an outside edge, added for a finished appearance and to soften sharp edges.
- A firearm cartridge, bullet, or any individual ammunition projectile. Originally referring to the spherical projectile ball of a smoothbore firearm. Compare round shot and solid shot.
- (UK) One slice of bread.
- A strip of material with a circular face that covers an edge, gap, or crevice for decorative, sanitary, or security purposes.
- (art) A long-bristled, circular-headed paintbrush used in oil and acrylic painting.
- (countable, music) A song that is sung by groups of people with each subset of people starting at a different time.
- A circular or repetitious route.
- (sports) In some sports, e.g. golf or showjumping: one complete way around the course.
- A crosspiece that joins and braces the legs of a chair.
- A circular dance.
- (nautical) A round-top.
- A series of duties or tasks which must be performed in turn, and then repeated.
- A serving of something; a portion of something to each person in a group.
- (card games) The play after each deal.
- One sandwich (two full slices of bread with filling).
- (sports) A stage in a competition.
- An assembly; a group; a circle.
- (video games) A stage or level of a game.
- A circular or spherical object or part of an object.
- A single individual portion or dose of medicine.
- (sports) a division of a game during which one team is on the offensive
- a regular route for a sentry or policeman
- an outburst of applause
- any circular or rotating mechanism
- the course along which communications spread
- the activity of playing 18 holes of golf
- a partsong in which voices follow each other; one voice starts and others join in one after another until all are singing different parts of the song at the same time
- a cut of beef between the rump and the lower leg
- a charge of ammunition for a single shot
- (often plural) a series of professional calls (usually in a set order)
- a serving to each of a group (usually alcoholic)
- a crosspiece between the legs of a chair
- the usual activities in your day
- an interval during which a recurring sequence of events occurs
prep
verb
- (mathematics) To calculate the differential of a function of multiple variables.
- (mathematics) To calculate the derivative of a function.
- To recognize as different or distinct.
- (transitive, intransitive, often in the passive voice, biology) To (cause to) go through a process of development called differentiation; to make or become different in form or function.
- To modify so as to create a difference or distinction.
- To show or be the difference or distinction between things.
- To perceive the difference between things; to discriminate.
- (education) To teach a lesson in multiple different ways in order to meet the needs of more or less advanced students.
- become distinct and acquire a different character
- evolve so as to lead to a new species or develop in a way most suited to the environment
- be a distinctive feature, attribute, or trait; sometimes in a very positive sense
- mark as different
- calculate a derivative; take the derivative
- become different during development
noun
verb
- (transitive, algebra) To move (a term) from one side of an algebraic equation to the other, reversing the sign of the term.
- (transitive, graph theory) To reverse the direction of every edge of (a graph).
- (transitive, law, chiefly of the European Union) To give force to a directive by passing appropriate implementation measures.
- (intransitive, chess) To reach a position that may also be obtained from a different move order.
- (transitive, music) To rewrite or perform (a piece) in another key.
- (transitive) To reverse or change the order of (two or more things); to swap or interchange.
- (transitive, linear algebra) To rearrange elements in a matrix, by interchanging their respective row and column positional indicators.
- put (a piece of music) into another key
- cause to change places
- change the order or arrangement of
- transfer a quantity from one side of an equation to the other side reversing its sign, in order to maintain equality
- transfer from one place or period to another
- change key
- exchange positions without a change in value
adj
noun
- (graph theory) A graph whose every edge has had its direction reversed.
- (linear algebra) The matrix derived from performing a transpose operation on a given matrix.
- (linear algebra) The process of rearranging elements in a matrix, by interchanging their respective row and column positional indicators.
- a matrix formed by interchanging the rows and columns of a given matrix
verb
noun
- (countable) Proper or equal share.
- (countable, chiefly in the plural) Size.
- (mathematics, countable) A statement of equality between two ratios.
- The relation of one part to another or to the whole with respect to magnitude, quantity, or degree.
- (uncountable) Harmonious relation of parts to each other or to the whole.
- (countable) A quantity of something that is part of the whole amount or number.
- the relation between things (or parts of things) with respect to their comparative quantity, magnitude, or degree
- balance among the parts of something
- the quotient obtained when the magnitude of a part is divided by the magnitude of the whole
- harmonious arrangement or relation of parts or elements within a whole (as in a design)
- magnitude or extent
verb
- (transitive, also mathematics) To extend or stretch opposite something; to be part of a straight or curved line that is opposite to and delimits an angle.
- (transitive, mathematics) To form the central angle of a circle underneath an arc.
- (botany, transitive) To stand beneath or close to, as a bract at the base of a flower.
- (transitive, mathematics) To use an angle to delimit (mark off, enclose) part of a straight or curved line, for example an arc or the opposite side of a triangle.
- be opposite to; of angles and sides, in geometry
verb
- (transitive) To change (something) from one use, function, or purpose to another.
- (transitive, cricket) To increase one's individual score, especially from 50 runs (a fifty) to 100 runs (a century), or from a century to a double or triple century.
- (transitive) To transform or change (something) into another form, substance, state, or product.
- (transitive) To induce (someone) to adopt a particular religion, faith, ideology or belief (see also sense 12).
- (transitive) To express (a quantity) in alternative units.
- (transitive, logic) To change (one proposition) into another, so that what was the subject of the first becomes the predicate of the second.
- (intransitive, ten-pin bowling) To score a spare.
- (ambitransitive, rugby football) To score extra points after (a try) by completing a conversion.
- (intransitive) To undergo a conversion of religion, faith or belief (see also sense 3).
- (transitive) To exchange for something of equal value.
- (transitive or intransitive, soccer) To score (especially a penalty kick).
- (intransitive) To become converted.
- (intransitive, marketing) To perform the action that an online advertisement is intended to induce; to reach the point of conversion.
- (ambitransitive, chess) To transform a material or positional advantage into a win.
- (transitive, law) To appropriate wrongfully or unlawfully; to commit the common law tort of conversion.
- (transitive) To express (a unit of measurement) in terms of another; to furnish a mathematical formula by which a quantity, expressed in the former unit, may be given in the latter.
- (American football) To score extra points following a touchdown.
- cause to adopt a new or different faith
- change the nature, purpose, or function of something
- change in nature, purpose, or function; undergo a chemical change
- change from one system to another or to a new plan or policy
- change religious beliefs, or adopt a religious belief
- exchange or replace with another, usually of the same kind or category
- exchange a penalty for a less severe one
- score an extra point or points after touchdown by kicking the ball through the uprights or advancing the ball into the end zone
- make (someone) agree, understand, or realize the truth or validity of something
noun
- Anyone who has converted from being one thing to being another.
- (Canadian football) The equivalent of a conversion in rugby
- A person who has converted to a religion.
- A person who is now in favour of something that they previously opposed or disliked.
- a person who has been converted to another religious or political belief
verb
noun
- (logic) A syntactically correct expression that is deducible from the given axioms of a deductive system.
- (mathematics) A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas.
- (mathematics, colloquial, nonstandard) A mathematical statement that is expected to be true.
- a proposition deducible from basic postulates
- an idea accepted as a demonstrable truth
verb
- (transitive) To bend or curve.
- (intransitive) To crouch; to cringe.
- (transitive) To furnish (a well etc.) with a curb; to restrain (a bank of earth, etc.) by a curb.
- (transitive) To bring to a stop beside a curb.
- (transitive, slang) Ellipsis of curb stomp.
- (transitive) To rein in.
- (transitive) To check, restrain or control.
- (transitive) To damage vehicle wheels or tires by running into or over a pavement curb.
- keep to the curb
- lessen the intensity of; temper; hold in restraint; hold or keep within limits
- place restrictions on
noun
- A raised margin along the edge of something, such as a well or the eye of a dome, as a strengthening.
- (figurative) Something that checks or restrains; a restraint.
- A concrete margin along the edge of a road; a kerb (UK, Australia, New Zealand).
- (Canada, US) A sidewalk, covered or partially enclosed, bordering the airport terminal road system with adjacent paved areas to permit vehicles to off-load or load passengers.
- (equestrianism) A riding or driving bit for a horse that has rein action which amplifies the pressure in the mouth by leverage advantage placing pressure on the poll via the crown piece of the bridle and chin groove via a curb chain.
- A swelling on the back part of the hind leg of a horse, just behind the lowest part of the hock joint, generally causing lameness.
- an edge between a sidewalk and a roadway consisting of a line of curbstones (usually forming part of a gutter)
- a horse's bit with an attached chain or strap to check the horse
- the act of restraining power or action or limiting excess
verb
- (transitive, geometry) To perform an alternation (removal of alternate vertices) on (a polytope or tessellation); to remove vertices (from a face or edge) as part of an alternation.
- (intransitive) To happen, succeed, or act by turns; to follow reciprocally in place or time; followed by with.
- (transitive) To perform by turns, or in succession; to cause to succeed by turns; to interchange regularly.
- (intransitive) To vary by turns.
- exchange people temporarily to fulfill certain jobs and functions
- be an understudy or alternate for a role
- do something in turns
- go back and forth; swing back and forth between two states or conditions
- reverse (a direction, attitude, or course of action)
adj
- (US) Other; alternative.
- Happening by turns; one following the other in succession of time or place; first one and then the other (repeatedly).
- (heraldry) Alternating; (of e.g. a pair of tinctures which a charge is coloured) succeeding in turns, or (relative to the field) counterchanged.
- (mathematics) Designating the members in a series, which regularly intervene between the members of another series, as the odd or even numbers of the numerals; every other; every second.
- (botany, of leaves) Distributed singly at different heights of the stem, and at equal intervals as respects angular divergence
- occurring by turns; first one and then the other
- every second one of a series
- of leaves and branches etc.; first on one side and then on the other in two ranks along an axis; not paired
- serving or used in place of another
noun
- That which alternates with something else; vicissitude.
- (US) A replacement of equal or greater value or function.
- (US) A substitute; an alternative; one designated to take the place of another, if necessary, in performing some duty.
- (mathematics) A proportion derived from another proportion by interchanging the means.
- someone who takes the place of another person
verb
- (transitive, mathematics) To simplify an equation or formula without changing its value.
- (transitive) To bring to an inferior rank; to degrade, to demote.
- (intransitive) To lose weight.
- (transitive, Scots law) To annul by legal means.
- (transitive, military) To reform a line or column from (a square).
- (transitive) To be forced by circumstances (into something one considers unworthy).
- (transitive, metallurgy) To produce metal from ore by removing nonmetallic elements in a smelter.
- (transitive) To bring down the size, quantity, quality, value or intensity of something; to diminish, to lower.
- (transitive, medicine) To perform a reduction; to restore a fracture or dislocation to the correct alignment.
- (transitive, law) To convert to written form. (Usage note: this verb almost always appears as "reduce to writing".)
- (transitive) To humble; to conquer; to subdue; to capture.
- (transitive) To bring to an inferior state or condition.
- (transitive, computer science) To express the solution of a problem in terms of another (known) algorithm.
- (transitive, military) To strike off the payroll.
- (transitive, phonetics, phonology) To pronounce (a sound or word) with less effort.
- (transitive, chemistry) To add electrons / hydrogen or to remove oxygen.
- (transitive, cooking) To decrease the liquid content of (a food) by boiling much of its water off.
- (transitive, logic) To convert a syllogism to a clearer or simpler form.
- to remove oxygen from a compound, or cause to react with hydrogen or form a hydride, or to undergo an increase in the number of electrons
- cook until very little liquid is left
- lessen and make more modest
- be cooked until very little liquid is left
- reduce in size; reduce physically
- lessen the strength or flavor of a solution or mixture
- reposition (a broken bone after surgery) back to its normal site
- reduce in scope while retaining essential elements
- be the essential element
- cut down on; make a reduction in
- make smaller
- lower in grade or rank or force somebody into an undignified situation
- make less complex
- simplify the form of a mathematical equation of expression by substituting one term for another
- narrow or limit
- undergo meiosis
- put down by force or intimidation
- bring to humbler or weaker state or condition
- destress and thus weaken a sound when pronouncing it
- take off weight
verb
noun
- (figurative) A general description giving the most important points.
- An outline, boundary or border, usually of curved shape.
- (linguistics) a speech sound which behaves as a single segment, but which makes an internal transition from one quality, place, or manner to another.
- A line on a map or chart delineating those points which have the same altitude or other plotted quantity: a contour line or isopleth; (metonymically) the landform or its surface.
- any spatial attributes (especially as defined by outline)
- a feature (or the order or arrangement of features) of anything having a complex structure
- a line drawn on a map connecting points of equal height
verb
- (transitive, mathematics) To determine the length of a curve included between two limits.
- (transitive) To correct or amend (a mistake, defect etc.).
- (transitive) To produce (as factitious gin or brandy) by redistilling bad wines or strong spirits (whisky, rum, etc.) with flavourings.
- (transitive, geodesy, historical) To adjust (a globe or sundial) to prepare for the solution of a proposed problem.
- (transitive) To restore (someone or something) to its proper condition; to straighten out, to set right.
- (transitive, electronics) To convert (alternating current) into direct current.
- (transitive) To remedy or fix (an undesirable state of affairs, situation etc.).
- (transitive, chemistry) To purify or refine (a substance) by distillation.
- make right or correct
- convert into direct current
- determine the length of
- reduce to a fine, unmixed, or pure state; separate from extraneous matter or cleanse from impurities
- bring, lead, or force to abandon a wrong or evil course of life, conduct, and adopt a right one
- set straight or right
Nessuna parola corrispondente trovata. Prova una descrizione più ampia.
adj
noun
- (multivariable calculus) The Jacobian matrix of a function of several variables.
- (calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f.
- Any of several generalizations of this concept to functions of several variables or to higher orders: the partial differential, total differential, Gateaux differential, etc.
- One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other.
- The differential gear in an automobile, etc.
- A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all.
- (differential geometry, of a smooth map ϕ between smooth manifolds) The pushforward or total derivative of ϕ: a linear map from the tangent space at a point x in ϕ's domain to the tangent space at ϕ(x) which is, in a technical sense, the best linear approximation of ϕ at x; denoted operatorname d!ϕₓ.
- (mathematics) Any of several generalizations of the concept(s) above: e.g. the Kähler differential in the setting of schemes, the quadratic differential in the theory of Riemann surfaces, etc.
- (calculus) A quantity representing an infinitesimal change in a variable, now only used as a heuristic aid except in nonstandard analysis but considered rigorous until the 20th century; a fluxion in Newtonian calculus, now usually written in Leibniz's notation as operatorname d!x.
- A qualitative or quantitative difference between similar or comparable things.
- a quality that differentiates between similar things
- a bevel gear that permits rotation of two shafts at different speeds; used on the rear axle of automobiles to allow wheels to rotate at different speeds on curves
- the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
adj
- (mathematics) of or pertaining to the geometry of affine transformations
- (not comparable, geometry) Of or pertaining to a function expressible as f(⃑x)=A⃑x+⃑b (where A is a linear transformation and ⃑b is a constant), which, regarded as a transformation, maps parallel lines to parallel lines and finite points to finite points.
- (anthropology) related by marriage
- (comparable, chemistry) Of two materials, having mutual affinity.
- (not comparable, mathematics) Assigning finite values to finite quantities.
noun
verb
adj
- (mathematics) Of or pertaining to (the geometry of) a differentiable manifold equipped with a closed nondegenerate bilinear form.
- (petrology, mineralogy) Of or pertaining to a symplectite; symplectitic.
- (group theory, of a group) Whose characteristic abelian subgroups are cyclic.
- That moves in the same direction as a system of synchronized waves.
- (mathematics, multilinear algebra, of a vector space) That is equipped with an alternating nondegenerate bilinear form.
- (mathematics, multilinear algebra, of a bilinear form) That is alternating and nondegenerate.
- Placed in or among, as if woven together.
noun
adj
- (mathematical analysis) Being defined in terms of objects of differential calculus such as derivatives.
- Of, or relating to division into elements or principles.
- (mathematics, of a function) Being able to be locally represented by convergent power series around every point of the domain.
- (mathematics) Of, or relating to algebra or a similar method of analysis.
- (logic, of a proposition) that follows necessarily by definition; tautologous.
- Of, or relating to any form of analysis, or to analytics.
- (linguistics) Of a language, having a grammar principally dependent on the arrangement of uninflected function words within sentences to indicate meaning.
- Having the ability to analyse.
- using or skilled in using analysis (i.e., separating a whole — intellectual or substantial — into its elemental parts or basic principles)
- using or subjected to a methodology using algebra and calculus
- expressing a grammatical category by using two or more words rather than inflection
- of a proposition that is necessarily true independent of fact or experience
adj
- (mathematics) Of or relating to a partial derivative or partial differential.
- (botany) Subordinate.
- Biased in favor of a person, side, or point of view, especially when dealing with a competition or dispute.
- (crosswording, of a clue) Having a wordplay element, but no definition.
- (followed by the preposition to) Having a predilection for something.
- (computer science) Describing a property that holds only when an algorithm terminates.
- Existing as a part or portion; incomplete.
- (followed by ‘of’ or ‘to’) having a strong preference or liking for
- being or affecting only a part; not total
- constituting or comprising a part or fraction of a possible whole or entirety
- showing favoritism
noun
- (dentistry) dentures that replace only some of the natural teeth
- (bodybuilding) The condition of not exhausting the amplitude during the repetition of an exercise.
- (forensics) An incomplete fingerprint
- (furry fandom) A fursuit that does not fully cover the wearer's body.
- (programming, Internet) A fragment of a template containing markup.
- (mathematics) A partial derivative: a derivative with respect to one independent variable of a function in multiple variables while holding the other variables constant.
- (music) Any of the sine waves which make up a complex tone; often an overtone or harmonic of the fundamental.
- the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant
- a harmonic with a frequency that is a multiple of the fundamental frequency
verb
adj
- (calculus, not comparable) Having a derivative, said of a function whose domain and codomain are manifolds.
- (comparable, of multiple items) able to be differentiated; distinguishable, as for example by differing appearance or measurable characteristics.
- possessing a differential coefficient or derivative
- capable of being perceived as different