English-Wörter für 'the integral of a function over a definite interval'
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Suchergebnisse
name
- The definite integral of a continuous function f over a closed interval [a,,b] is equal to the net change of any antiderivative F over [a,,b], or: ∫ₐᵇf(x),dx=F(b)-F(a).
- For a continuous function f, an antiderivative or indefinite integral of F can be obtained as the integral of f over an interval with a variable upper bound, or: F(x)=∫ₐˣf(t),dt.
adj
- (mathematics) Being an integral without specified limits.
- Without limit; forever, or until further notice; not definite.
- (linguistics) Designating an unspecified or unidentified person or thing or group of persons or things.
- Undecided or uncertain.
- Vague or unclear.
- vague or not clearly defined or stated
- not decided or not known
noun
noun
noun
- (calculus) The operation of finding the integral of a function.
- an operation used in the calculus whereby the integral of a function is determined
- (society) The process of fitting into a community, notably applied to minorities.
- The act or process of making whole or entire.
- (biology) In evolution, the process by which the manifold is compacted into the relatively simple and permanent; supposed to alternate with differentiation as an agent in species' development.
- (US) Ellipsis of racial integration.
- The process of combining with compatible elements in order to incorporate them.
- the action of incorporating a racial or religious group into a community
- the act of combining into an integral whole
noun
- the set of functions F(x) + C, where C is any real number, such that F(x) is the integral of f(x)
- (mathematics) A function whose derivative is a given function; an antiderivative.
- (mathematics) The set of all functions whose derivative is a given function; the set of all antiderivatives of a given function.
noun
- (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;
- (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.
- 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
name
noun
adj
- (mathematics) Of a function: that is always nonincreasing or nondecreasing on an interval.
- (of speech or a sound) Having a single unvaried pitch.
- (printing) Synonym of monochrome.
- sounded or spoken in a tone unvarying in pitch
- of a sequence or function; consistently increasing and never decreasing or consistently decreasing and never increasing in value
noun
verb
verb
- calculate the integral of; calculate by integration
- become one; become integrated
- open (a place) to members of all races and ethnic groups
- make into a whole or make part of a whole
- (transitive) To include as a constituent part or functionality.
- (transitive) To form into one whole; to make entire; to complete; to renew; to restore; to perfect.
- (mathematics, sciences, transitive) To give the sum or total of a varying quantity over an interval such as a period of time or an area.
- (transitive) To desegregate, as a school or neighborhood.
- (usually intransitive, sometimes reflexive) To join a group or an environment harmoniously; to make oneself fit in.
- (genetics, transitive) To combine compatible elements in order to incorporate them.
- (mathematics, sciences, transitive) To subject to the operation of integration; to find the integral of an equation.
noun
- Initialism of proportional integral derivative.
- Initialism of personal identification device.
- (medicine) Initialism of pelvic inflammatory disease.
- Initialism of piping and instrumentation diagram.
- Initialism of photoionization detector.
- (algebra) Initialism of principal ideal domain.
- (computing) Initialism of process identifier.
- inflammation of the female pelvic organs (especially the Fallopian tubes) caused by infection by any of several microorganisms (chiefly gonococci and chlamydia); symptoms are abdominal pain and fever and foul-smelling vaginal discharge
noun
- (mathematics) An overring B of an integral domain A is a subring of the field of fractions K of A that contains A, i.e. A#92;subseteqB#92;subseteqK.
- A ring diacritic positioned above a character, as in Å.
- An instance of registering too large an amount on a cash register, either accidentally or fraudulently.
verb
adj
- (set theory) of an interval that contains both its endpoints
- requiring union membership
- not open
- with shutters closed
- not open to the general public
- used especially of mouth or eyes
- blocked against entry
- not open or affording passage or access
- not having an open mind
- Not allowing entrance to visitors or the public.
- Not public.
- (mathematics, logic, of a formula) Lacking a free variable.
- (heraldry) Synonym of close.
- (phonology) Formed by closing the mouth and nose passages completely, like the consonants /t/, /d/, and /p/.
- Of a competition or tournament: with the competitors restricted to a specific group, such as professionals, amateurs, members or residents.
- (electricity, of a switch or circuit breaker) In a position allowing electricity to flow.
- (of a store or business) Not operating or conducting trade.
- Having one end joined to the other, forming a completed loop.
- Settled; decided or determined; withdrawn from consideration.
- (especially sports) Of a club, bat or other hitting implement; angled downwards and/or (for a right-hander) anticlockwise of straight.
- (phonology) Having the sound cut off sharply by a following consonant, like the /ɪ/ in pin.
- (geometry, of a curve) Lacking endpoints. For parametric curves, with the same image for the ends of the domain.
- (geometry, of a surface) Lacking a boundary.
- (graph theory, of a walk) Whose first and last vertices are the same, forming a closed loop.
- Sealed or covered.
- (mathematics, of a set) Such that its image under the specified operation is contained in it.
- Not available for use or operation.
- (computing, of a file, document, etc.) Not in current use; not connected to as a resource.
- Not receptive.
- Physically drawn together, folded or contracted.
- (topology, of a set) Having an open complement.
- (of a multi-word compound) Having component words joined together without spaces or hyphens; for example, timeslot as opposed to time slot or time-slot.
- Made impassable.
- (engineering, gas and liquid flow, of valve or damper) In a position preventing fluid from flowing.
verb
noun
- the branch of mathematics that is concerned with limits and with the differentiation and integration of functions
- a hard lump produced by the concretion of mineral salts; found in hollow organs or ducts of the body
- an incrustation that forms on the teeth and gums
- (countable, mathematics) Any formal system in which symbolic expressions are manipulated according to fixed rules.
- (countable, medicine) A stony concretion that forms in a bodily organ.
- (uncountable, dentistry) Deposits of calcium phosphate salts on teeth.
- (uncountable, often definite, the calculus) Differential calculus and integral calculus considered as a single subject.
- (countable) A decision-making method, especially one appropriate for a specialised realm.
verb
- (intransitive, mathematics, said of a function) To increase without bound as a function argument or parameter approaches a certain value; to tend toward infinity; to approach infinity as a limit.
- Used other than figuratively or idiomatically: see blow, up.
- (transitive) To inflate or fill with air, either by literally blowing or by using a pump.
- (transitive, also figuratively) To cause (something or someone) to explode, or to destroy (something) or maim or kill (someone) by means of an explosion.
- (intransitive, cycling) To succumb to oxygen debt and lose the ability to maintain pace in a race.
- (intransitive, also figuratively) To explode or be destroyed by explosion.
- (of a hangout) To overwhelm (a place) with traffic or volume by revealing its existence to others.
- (transitive) To enlarge or zoom in on.
- (intransitive, slang) To become much more fat or rotund in a short space of time.
- (of a cell phone, pager, or similar) To receive a large number of calls, texts, or notifications, to the point of being rendered temporarily unusable or exasperating the recipient.
- (intransitive, slang) To suddenly get very angry, to lose one's temper.
- (transitive, figuratively) To represent something as being more important or serious than it actually is; to inflate; to exaggerate.
- (of a cell phone, pager, or similar) To bombard with a large number of calls, texts, or notifications, to the point of rendering temporarily unusable or exasperating the recipient.
- (intransitive, slang, of a device, machine, system, or establishment) To be overwhelmed by unexpectedly high demand, usage, activity, traffic volume, etc.
- (slang, colloquial) To cause a malodorous smell by flatulation, defecation, etc.
- (of a hangout) To be overwhelmed with traffic or volume.
- (intransitive) To fail disastrously.
- (transitive, slang, of a device, machine, system, or establishment) To overwhelm through unexpectedly high demand, activity, usage, traffic volume, etc.
- (intransitive, of a storm) To begin; to gather; to form.
- (slang, intransitive) To become popular very quickly.
- (sports) To blow the whistle.
- to swell or cause to enlarge
- make large
- fill with gas or air
- cause to burst with a violent release of energy
- get very angry and fly into a rage
- burst and release energy as through a violent chemical or physical reaction
- exaggerate or make bigger
- add details to
noun
- (mathematics) (of a function) defined for each point x in the domain of the function by inf diam(f(U))∣Uisaneighborhoodofx, and describes the difference (possibly ∞) between the limit superior and limit inferior of the function near that point.
- a single such cycle
- the act of oscillating or the state of being oscillated
- a regular periodic fluctuation in value about some mean
- (physics) a regular periodic variation in value about a mean
- the process of oscillating between states
- a single complete execution of a periodically repeated phenomenon
adv
noun
prep
- Taking together the combined effect of.
- Done together or reciprocally.
- In the position or interval that separates (two things), or intermediate in quantity or degree. (See Usage notes below.)
- Shared in confidence.
- In transit from (one to the other, or connecting places).
- One of (representing a choice).
- Combined (by effort or ownership).
noun
verb
noun
adj
- of or involving exponents
- (mathematics) Characterised by a rate of change that is proportional to the value of the varying quantity, or, equivalently, by a doubling or halving over successive fixed intervals of time or other parameter, described as exponential growth or exponential decay.
- Relating to an exponent.
- (loosely) Characterised by a very rapid rate of change, especially increase, or merely a very large amount or degree.
- (mathematics) Expressed in terms of an exponent (power of a base), the base often being 10 or e.
adj
- (mathematical analysis, of a function) Such that, for every x in the domain, for each small open interval D about f(x), there's an interval containing x whose image is in D.
- of a function or curve; extending without break or irregularity
- Without intervening space; continued.
- (grammar) Expressing an ongoing action or state.
- (mathematics, more generally, of a function between two topological spaces) Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function).
- (botany) Not deviating or varying from uniformity; not interrupted; not joined or articulated.
- Without stopping; without a break, cessation, or interruption.
- continuing in time or space without interruption
noun
- (mathematics) the set of values of the independent variable for which a function is defined
- the content of a particular field of knowledge
- territory over which rule or control is exercised
- a particular environment or walk of life
- people in general; especially a distinctive group of people with some shared interest
- (geology) An area of more or less uniform mineralization.
- A group of related items, topics, or subjects.
- (data processing) A form of technical metadata that represent the type of a data item, its characteristics, name, and usage.
- (physics) A small region of a magnetic material with a consistent magnetization direction.
- A geographic area owned or controlled by a single person or organization.
- (taxonomy) The highest rank in the classification of organisms, above kingdom; in the three-domain system, one of the taxa Bacteria, Archaea, or Eukaryota.
- (mathematics, topology, mathematical analysis) An open and connected set in some topology. For example, the interval (0,1) as a subset of the real numbers.
- (more generally, of a binary relation R between A and B) The set A; The subset of A consisting of elements a of A such that there exists an element b in B with (a,b) in R.
- A field or sphere of activity, influence or expertise.
- (computing) The collection of computers identified by a domain's domain names.
- (mathematics, set theory) The set of input (argument) values for which a function is defined.
- (computing, Internet) Any DNS domain name, particularly one which has been delegated and has become representative of the delegated domain name and its subdomains.
- (biochemistry) A folded section of a protein molecule that has a discrete function; the equivalent section of a chromosome.
- (mathematics) A ring with no zero divisors; that is, in which no product of nonzero elements is zero.
- (computing) Such a region used as a data storage element in a bubble memory.
- (computing, Internet) A collection of DNS or DNS-like domain names consisting of a delegated domain name and all its subdomains.
- (computing) A collection of information having to do with a domain, the computers named in the domain, and the network on which the computers named in the domain reside.
adj
- (mathematics, of a function) having a single derivative at a point
- producing offspring of only one sex, exhibiting monogeny
- of or relating to monogenesis or to monogenism
- (mathematics, of a semigroup) generated by a set containing only a single element
- (genetics) regulated by a single gene
- of or relating to an inheritable character that is controlled by a single pair of genes
noun
noun
- (mathematics) An infinitesimal interval of a quantity, a differential.
- One of the simplest or essential parts or principles of which anything consists, or upon which the constitution or fundamental powers of anything are based.
- A factor, one of the conditions contributing to a result.
- (chemistry) A chemical substance made entirely of one such type of atom; any one of the simplest chemical substances that cannot be decomposed in a chemical reaction or by any chemical means and made up of atoms all having the same number of protons.
- (usually in the plural) A basic, simple substance out of which something is made, raw material.
- A place or state of being that a person or object is best suited to.
- (chemistry) Any one of the types of atom distinguished by having a certain number of protons in its nucleus.
- (set theory) One of the objects in a set.
- (in the plural only, with "the") Atmospheric forces such as strong winds and rains.
- A group of people within a larger group having a particular common characteristic.
- A small but present amount of a quality, a hint.
- (law) A required aspect or component of a cause of action. A deed is regarded as a violation of law only if each element can be proved.
- A component in electrical equipment, often in the form of a coil, having a high resistance, thereby generating heat when a current is passed through it.
- (astronomy) An orbital element; one of the parameters needed to uniquely specify a particular orbit.
- (computing) One of the conceptual objects in a markup language, usually represented in text by tags.
- One of the four basic building blocks of matter in theories of ancient philosophers and alchemists: water, earth, fire, and air.
- (mathematics) One of the entries of a matrix.
- (Christianity, usually in the plural) The bread and wine taken at Holy Communion.
- Any of the teeth of a zip fastener.
- A small part of the whole.
- (in the plural only) The basic principles of a field of knowledge, basics, fundamentals, rudiments.
- an abstract part of something
- one of four substances thought in ancient and medieval cosmology to constitute the physical universe
- a straight line that generates a cylinder or cone
- any of the more than 100 known substances (of which 92 occur naturally) that cannot be separated into simpler substances and that singly or in combination constitute all matter
- the situation in which you are happiest and most effective
- the most favorable environment for a plant or animal
- an artifact that is one of the individual parts of which a composite entity is made up; especially a part that can be separated from or attached to a system
noun
- (mathematics) calculation of the value of a function outside the range of known values
- an inference about the future (or about some hypothetical situation) based on known facts and observations
- (music) The diametric opposite of interpolation.
- An inference about some hypothetical situation based on known facts.
- (mathematics) A calculation of an estimate of the value of some function outside the range of known values.
noun
- the mathematical process of obtaining the derivative of a function
- (biology) the structural adaptation of some body part for a particular function
- a discrimination between things as different and distinct on the basis of their characteristics or attributes
- (biology) The process by which the components of multicellular life (cells, organs, etc.) are produced and acquire function, as when a seed develops the root and stem, and the initial stem develops the leaf, branches, and flower buds.
- (biology, evolution) The evolutionary process by which one taxonomic group (species, genus, variety, etc.) becomes distinct from another, or acquires distinct features; the result of such a process: distinctness.
- The act of treating one thing as distinct from another, or of creating such a distinction; of separating a class of things into categories; of describing a thing by illustrating how it is different from something else.
- (geology) The process of separation of cooling magma into various rock types.
- (mathematics, calculus) The process of applying the derivative operator to a function; of calculating a function's derivative.
- The process of developing distinct components.
noun
- (mathematics) An ideal of a ring that measures how far it is from being integrally closed
- A grooved sound or staff used for directing instruments, such as lithontriptic forceps; a director.
- One who conducts or leads; a guide; a director.
- (transport) A person who takes tickets on public transportation and also helps passengers.
- (physics) Something that can transmit electricity, heat, light, or sound.
- (architecture) A leader.
- (music) A person who conducts an orchestra, choir or other music ensemble; a professional whose occupation is conducting.
- a substance that readily conducts e.g. electricity and heat
- the person who leads a musical group
- the person who collects fares on a public conveyance
- a device designed to transmit electricity, heat, etc.
noun
- (mathematics) A characteristic of an exponential function, represented by τ in the function:
- (physics) The time in which a physical system's response to a step-wise change in an external variable reaches approximately 63% of its final (asymptotic) value.
- For radioactivity: the decay constant.
- the ratio of the inductance of a circuit in henries to its resistance in ohms
- (electronics) the time required for the current or voltage in a circuit to rise or fall exponentially through approximately 63 per cent of its amplitude
noun
- (mathematics, numerical analysis) The calculation of a definite integral by numerical means.
- The process of making something square; squaring.
- (mathematics, mathematical analysis) The act or process of solving an indefinite integral by symbolic means.
- (physics) The condition in which the phase angle between two alternating quantities is 90°.
- (mathematics) The act or process of constructing a square that has the same area as a given plane figure, or of computing that area.
- (art) A painting painted on a wooden panel.
- (astronomy) A situation in which the directions of two celestial bodies (or a celestial body and the Sun) form a right angle from the perspective of the observer.
- the construction of a square having the same area as some other figure
verb
- (intransitive, mathematics) (said of a sequence or series) To have a (finite, proper) limit.
- (intransitive, computing) (said of an iterative process) To reach a stable end point.
- (intransitive) (said of two or more entities) To approach each other; to get closer and closer.
- come together so as to form a single product
- approach a limit as the number of terms increases without limit
- be adjacent or come together
- move or draw together at a certain location
noun
adj
adj
- (mathematics, of a function) Having derivatives of all finite orders at all points within the function’s domain.
- (of muscles, medicine) Involuntary and non-striated.
- (of an action) Natural; unconstrained.
- Bland; glib.
- (mathematics, of a number) That factors completely into small prime numbers.
- Having a texture that lacks friction. Not rough.
- (of a motion) Unbroken.
- (linguistics, classical studies, of a vowel) Lacking marked aspiration.
- (of food or drink) Not grainy; having an even texture.
- (of an edge) Lacking projections or indentations; not serrated.
- Without difficulty, problems, or unexpected consequences or incidents.
- (of a beverage) Having a pleasantly rounded flavor; neither rough nor astringent.
- Flowing or uttered without check, obstruction, or hesitation; not harsh; fluent.
- Suave; sophisticated.
- (chiefly of water) Placid, calm.
- smooth and unconstrained in movement
- of the margin of a leaf shape; not broken up into teeth
- smoothly agreeable and courteous with a degree of sophistication
- lacking obstructions or difficulties
- (of a body of water) free from disturbance by heavy waves
- having a surface free from roughness or bumps or ridges or irregularities
- of motion that runs or flows or proceeds without jolts or turbulence
- (music) without breaks between notes; smooth and connected
adv
noun
verb
- (transitive) To make straightforward or easy.
- (transitive) To make smooth or even.
- (West Country) To stroke; especially to stroke an animal's fur.
- (transitive) To calm or palliate.
- (transitive) To reduce to a particular shape or form by pressure; to press, to flatten.
- (statistics, image processing, digital audio) To capture important patterns in the data, while leaving out noise.
- free from obstructions
- make smooth or smoother, as if by rubbing
- make (a surface) shine
noun
noun
- (calculus) The operation of finding the integral of a function.
- an operation used in the calculus whereby the integral of a function is determined
- (society) The process of fitting into a community, notably applied to minorities.
- The act or process of making whole or entire.
- (biology) In evolution, the process by which the manifold is compacted into the relatively simple and permanent; supposed to alternate with differentiation as an agent in species' development.
- (US) Ellipsis of racial integration.
- The process of combining with compatible elements in order to incorporate them.
- the action of incorporating a racial or religious group into a community
- the act of combining into an integral whole
noun
- the set of functions F(x) + C, where C is any real number, such that F(x) is the integral of f(x)
- (mathematics) A function whose derivative is a given function; an antiderivative.
- (mathematics) The set of all functions whose derivative is a given function; the set of all antiderivatives of a given function.
noun
- (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;
- (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.
- 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
noun
- Initialism of proportional integral derivative.
- Initialism of personal identification device.
- (medicine) Initialism of pelvic inflammatory disease.
- Initialism of piping and instrumentation diagram.
- Initialism of photoionization detector.
- (algebra) Initialism of principal ideal domain.
- (computing) Initialism of process identifier.
- inflammation of the female pelvic organs (especially the Fallopian tubes) caused by infection by any of several microorganisms (chiefly gonococci and chlamydia); symptoms are abdominal pain and fever and foul-smelling vaginal discharge
noun
- (mathematics) An overring B of an integral domain A is a subring of the field of fractions K of A that contains A, i.e. A#92;subseteqB#92;subseteqK.
- A ring diacritic positioned above a character, as in Å.
- An instance of registering too large an amount on a cash register, either accidentally or fraudulently.
verb
noun
- the branch of mathematics that is concerned with limits and with the differentiation and integration of functions
- a hard lump produced by the concretion of mineral salts; found in hollow organs or ducts of the body
- an incrustation that forms on the teeth and gums
- (countable, mathematics) Any formal system in which symbolic expressions are manipulated according to fixed rules.
- (countable, medicine) A stony concretion that forms in a bodily organ.
- (uncountable, dentistry) Deposits of calcium phosphate salts on teeth.
- (uncountable, often definite, the calculus) Differential calculus and integral calculus considered as a single subject.
- (countable) A decision-making method, especially one appropriate for a specialised realm.
noun
- (mathematics) (of a function) defined for each point x in the domain of the function by inf diam(f(U))∣Uisaneighborhoodofx, and describes the difference (possibly ∞) between the limit superior and limit inferior of the function near that point.
- a single such cycle
- the act of oscillating or the state of being oscillated
- a regular periodic fluctuation in value about some mean
- (physics) a regular periodic variation in value about a mean
- the process of oscillating between states
- a single complete execution of a periodically repeated phenomenon
noun
verb
noun
adj
- of or involving exponents
- (mathematics) Characterised by a rate of change that is proportional to the value of the varying quantity, or, equivalently, by a doubling or halving over successive fixed intervals of time or other parameter, described as exponential growth or exponential decay.
- Relating to an exponent.
- (loosely) Characterised by a very rapid rate of change, especially increase, or merely a very large amount or degree.
- (mathematics) Expressed in terms of an exponent (power of a base), the base often being 10 or e.
noun
- (mathematics) the set of values of the independent variable for which a function is defined
- the content of a particular field of knowledge
- territory over which rule or control is exercised
- a particular environment or walk of life
- people in general; especially a distinctive group of people with some shared interest
- (geology) An area of more or less uniform mineralization.
- A group of related items, topics, or subjects.
- (data processing) A form of technical metadata that represent the type of a data item, its characteristics, name, and usage.
- (physics) A small region of a magnetic material with a consistent magnetization direction.
- A geographic area owned or controlled by a single person or organization.
- (taxonomy) The highest rank in the classification of organisms, above kingdom; in the three-domain system, one of the taxa Bacteria, Archaea, or Eukaryota.
- (mathematics, topology, mathematical analysis) An open and connected set in some topology. For example, the interval (0,1) as a subset of the real numbers.
- (more generally, of a binary relation R between A and B) The set A; The subset of A consisting of elements a of A such that there exists an element b in B with (a,b) in R.
- A field or sphere of activity, influence or expertise.
- (computing) The collection of computers identified by a domain's domain names.
- (mathematics, set theory) The set of input (argument) values for which a function is defined.
- (computing, Internet) Any DNS domain name, particularly one which has been delegated and has become representative of the delegated domain name and its subdomains.
- (biochemistry) A folded section of a protein molecule that has a discrete function; the equivalent section of a chromosome.
- (mathematics) A ring with no zero divisors; that is, in which no product of nonzero elements is zero.
- (computing) Such a region used as a data storage element in a bubble memory.
- (computing, Internet) A collection of DNS or DNS-like domain names consisting of a delegated domain name and all its subdomains.
- (computing) A collection of information having to do with a domain, the computers named in the domain, and the network on which the computers named in the domain reside.
noun
- (mathematics) An infinitesimal interval of a quantity, a differential.
- One of the simplest or essential parts or principles of which anything consists, or upon which the constitution or fundamental powers of anything are based.
- A factor, one of the conditions contributing to a result.
- (chemistry) A chemical substance made entirely of one such type of atom; any one of the simplest chemical substances that cannot be decomposed in a chemical reaction or by any chemical means and made up of atoms all having the same number of protons.
- (usually in the plural) A basic, simple substance out of which something is made, raw material.
- A place or state of being that a person or object is best suited to.
- (chemistry) Any one of the types of atom distinguished by having a certain number of protons in its nucleus.
- (set theory) One of the objects in a set.
- (in the plural only, with "the") Atmospheric forces such as strong winds and rains.
- A group of people within a larger group having a particular common characteristic.
- A small but present amount of a quality, a hint.
- (law) A required aspect or component of a cause of action. A deed is regarded as a violation of law only if each element can be proved.
- A component in electrical equipment, often in the form of a coil, having a high resistance, thereby generating heat when a current is passed through it.
- (astronomy) An orbital element; one of the parameters needed to uniquely specify a particular orbit.
- (computing) One of the conceptual objects in a markup language, usually represented in text by tags.
- One of the four basic building blocks of matter in theories of ancient philosophers and alchemists: water, earth, fire, and air.
- (mathematics) One of the entries of a matrix.
- (Christianity, usually in the plural) The bread and wine taken at Holy Communion.
- Any of the teeth of a zip fastener.
- A small part of the whole.
- (in the plural only) The basic principles of a field of knowledge, basics, fundamentals, rudiments.
- an abstract part of something
- one of four substances thought in ancient and medieval cosmology to constitute the physical universe
- a straight line that generates a cylinder or cone
- any of the more than 100 known substances (of which 92 occur naturally) that cannot be separated into simpler substances and that singly or in combination constitute all matter
- the situation in which you are happiest and most effective
- the most favorable environment for a plant or animal
- an artifact that is one of the individual parts of which a composite entity is made up; especially a part that can be separated from or attached to a system
noun
- (mathematics) calculation of the value of a function outside the range of known values
- an inference about the future (or about some hypothetical situation) based on known facts and observations
- (music) The diametric opposite of interpolation.
- An inference about some hypothetical situation based on known facts.
- (mathematics) A calculation of an estimate of the value of some function outside the range of known values.
noun
- the mathematical process of obtaining the derivative of a function
- (biology) the structural adaptation of some body part for a particular function
- a discrimination between things as different and distinct on the basis of their characteristics or attributes
- (biology) The process by which the components of multicellular life (cells, organs, etc.) are produced and acquire function, as when a seed develops the root and stem, and the initial stem develops the leaf, branches, and flower buds.
- (biology, evolution) The evolutionary process by which one taxonomic group (species, genus, variety, etc.) becomes distinct from another, or acquires distinct features; the result of such a process: distinctness.
- The act of treating one thing as distinct from another, or of creating such a distinction; of separating a class of things into categories; of describing a thing by illustrating how it is different from something else.
- (geology) The process of separation of cooling magma into various rock types.
- (mathematics, calculus) The process of applying the derivative operator to a function; of calculating a function's derivative.
- The process of developing distinct components.
noun
- (mathematics) An ideal of a ring that measures how far it is from being integrally closed
- A grooved sound or staff used for directing instruments, such as lithontriptic forceps; a director.
- One who conducts or leads; a guide; a director.
- (transport) A person who takes tickets on public transportation and also helps passengers.
- (physics) Something that can transmit electricity, heat, light, or sound.
- (architecture) A leader.
- (music) A person who conducts an orchestra, choir or other music ensemble; a professional whose occupation is conducting.
- a substance that readily conducts e.g. electricity and heat
- the person who leads a musical group
- the person who collects fares on a public conveyance
- a device designed to transmit electricity, heat, etc.
noun
- (mathematics) A characteristic of an exponential function, represented by τ in the function:
- (physics) The time in which a physical system's response to a step-wise change in an external variable reaches approximately 63% of its final (asymptotic) value.
- For radioactivity: the decay constant.
- the ratio of the inductance of a circuit in henries to its resistance in ohms
- (electronics) the time required for the current or voltage in a circuit to rise or fall exponentially through approximately 63 per cent of its amplitude
noun
- (mathematics, numerical analysis) The calculation of a definite integral by numerical means.
- The process of making something square; squaring.
- (mathematics, mathematical analysis) The act or process of solving an indefinite integral by symbolic means.
- (physics) The condition in which the phase angle between two alternating quantities is 90°.
- (mathematics) The act or process of constructing a square that has the same area as a given plane figure, or of computing that area.
- (art) A painting painted on a wooden panel.
- (astronomy) A situation in which the directions of two celestial bodies (or a celestial body and the Sun) form a right angle from the perspective of the observer.
- the construction of a square having the same area as some other figure
noun
adj
verb
- calculate the integral of; calculate by integration
- become one; become integrated
- open (a place) to members of all races and ethnic groups
- make into a whole or make part of a whole
- (transitive) To include as a constituent part or functionality.
- (transitive) To form into one whole; to make entire; to complete; to renew; to restore; to perfect.
- (mathematics, sciences, transitive) To give the sum or total of a varying quantity over an interval such as a period of time or an area.
- (transitive) To desegregate, as a school or neighborhood.
- (usually intransitive, sometimes reflexive) To join a group or an environment harmoniously; to make oneself fit in.
- (genetics, transitive) To combine compatible elements in order to incorporate them.
- (mathematics, sciences, transitive) To subject to the operation of integration; to find the integral of an equation.
verb
- (intransitive, mathematics, said of a function) To increase without bound as a function argument or parameter approaches a certain value; to tend toward infinity; to approach infinity as a limit.
- Used other than figuratively or idiomatically: see blow, up.
- (transitive) To inflate or fill with air, either by literally blowing or by using a pump.
- (transitive, also figuratively) To cause (something or someone) to explode, or to destroy (something) or maim or kill (someone) by means of an explosion.
- (intransitive, cycling) To succumb to oxygen debt and lose the ability to maintain pace in a race.
- (intransitive, also figuratively) To explode or be destroyed by explosion.
- (of a hangout) To overwhelm (a place) with traffic or volume by revealing its existence to others.
- (transitive) To enlarge or zoom in on.
- (intransitive, slang) To become much more fat or rotund in a short space of time.
- (of a cell phone, pager, or similar) To receive a large number of calls, texts, or notifications, to the point of being rendered temporarily unusable or exasperating the recipient.
- (intransitive, slang) To suddenly get very angry, to lose one's temper.
- (transitive, figuratively) To represent something as being more important or serious than it actually is; to inflate; to exaggerate.
- (of a cell phone, pager, or similar) To bombard with a large number of calls, texts, or notifications, to the point of rendering temporarily unusable or exasperating the recipient.
- (intransitive, slang, of a device, machine, system, or establishment) To be overwhelmed by unexpectedly high demand, usage, activity, traffic volume, etc.
- (slang, colloquial) To cause a malodorous smell by flatulation, defecation, etc.
- (of a hangout) To be overwhelmed with traffic or volume.
- (intransitive) To fail disastrously.
- (transitive, slang, of a device, machine, system, or establishment) To overwhelm through unexpectedly high demand, activity, usage, traffic volume, etc.
- (intransitive, of a storm) To begin; to gather; to form.
- (slang, intransitive) To become popular very quickly.
- (sports) To blow the whistle.
- to swell or cause to enlarge
- make large
- fill with gas or air
- cause to burst with a violent release of energy
- get very angry and fly into a rage
- burst and release energy as through a violent chemical or physical reaction
- exaggerate or make bigger
- add details to
verb
- (intransitive, mathematics) (said of a sequence or series) To have a (finite, proper) limit.
- (intransitive, computing) (said of an iterative process) To reach a stable end point.
- (intransitive) (said of two or more entities) To approach each other; to get closer and closer.
- come together so as to form a single product
- approach a limit as the number of terms increases without limit
- be adjacent or come together
- move or draw together at a certain location
adv
noun
prep
- Taking together the combined effect of.
- Done together or reciprocally.
- In the position or interval that separates (two things), or intermediate in quantity or degree. (See Usage notes below.)
- Shared in confidence.
- In transit from (one to the other, or connecting places).
- One of (representing a choice).
- Combined (by effort or ownership).
adj
- (mathematics) Being an integral without specified limits.
- Without limit; forever, or until further notice; not definite.
- (linguistics) Designating an unspecified or unidentified person or thing or group of persons or things.
- Undecided or uncertain.
- Vague or unclear.
- vague or not clearly defined or stated
- not decided or not known
noun
adj
- (mathematics) Of a function: that is always nonincreasing or nondecreasing on an interval.
- (of speech or a sound) Having a single unvaried pitch.
- (printing) Synonym of monochrome.
- sounded or spoken in a tone unvarying in pitch
- of a sequence or function; consistently increasing and never decreasing or consistently decreasing and never increasing in value
noun
verb
adj
- (set theory) of an interval that contains both its endpoints
- requiring union membership
- not open
- with shutters closed
- not open to the general public
- used especially of mouth or eyes
- blocked against entry
- not open or affording passage or access
- not having an open mind
- Not allowing entrance to visitors or the public.
- Not public.
- (mathematics, logic, of a formula) Lacking a free variable.
- (heraldry) Synonym of close.
- (phonology) Formed by closing the mouth and nose passages completely, like the consonants /t/, /d/, and /p/.
- Of a competition or tournament: with the competitors restricted to a specific group, such as professionals, amateurs, members or residents.
- (electricity, of a switch or circuit breaker) In a position allowing electricity to flow.
- (of a store or business) Not operating or conducting trade.
- Having one end joined to the other, forming a completed loop.
- Settled; decided or determined; withdrawn from consideration.
- (especially sports) Of a club, bat or other hitting implement; angled downwards and/or (for a right-hander) anticlockwise of straight.
- (phonology) Having the sound cut off sharply by a following consonant, like the /ɪ/ in pin.
- (geometry, of a curve) Lacking endpoints. For parametric curves, with the same image for the ends of the domain.
- (geometry, of a surface) Lacking a boundary.
- (graph theory, of a walk) Whose first and last vertices are the same, forming a closed loop.
- Sealed or covered.
- (mathematics, of a set) Such that its image under the specified operation is contained in it.
- Not available for use or operation.
- (computing, of a file, document, etc.) Not in current use; not connected to as a resource.
- Not receptive.
- Physically drawn together, folded or contracted.
- (topology, of a set) Having an open complement.
- (of a multi-word compound) Having component words joined together without spaces or hyphens; for example, timeslot as opposed to time slot or time-slot.
- Made impassable.
- (engineering, gas and liquid flow, of valve or damper) In a position preventing fluid from flowing.
verb
adj
- (mathematical analysis, of a function) Such that, for every x in the domain, for each small open interval D about f(x), there's an interval containing x whose image is in D.
- of a function or curve; extending without break or irregularity
- Without intervening space; continued.
- (grammar) Expressing an ongoing action or state.
- (mathematics, more generally, of a function between two topological spaces) Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function).
- (botany) Not deviating or varying from uniformity; not interrupted; not joined or articulated.
- Without stopping; without a break, cessation, or interruption.
- continuing in time or space without interruption
adj
- (mathematics, of a function) having a single derivative at a point
- producing offspring of only one sex, exhibiting monogeny
- of or relating to monogenesis or to monogenism
- (mathematics, of a semigroup) generated by a set containing only a single element
- (genetics) regulated by a single gene
- of or relating to an inheritable character that is controlled by a single pair of genes
noun
adj
- (mathematics, of a function) Having derivatives of all finite orders at all points within the function’s domain.
- (of muscles, medicine) Involuntary and non-striated.
- (of an action) Natural; unconstrained.
- Bland; glib.
- (mathematics, of a number) That factors completely into small prime numbers.
- Having a texture that lacks friction. Not rough.
- (of a motion) Unbroken.
- (linguistics, classical studies, of a vowel) Lacking marked aspiration.
- (of food or drink) Not grainy; having an even texture.
- (of an edge) Lacking projections or indentations; not serrated.
- Without difficulty, problems, or unexpected consequences or incidents.
- (of a beverage) Having a pleasantly rounded flavor; neither rough nor astringent.
- Flowing or uttered without check, obstruction, or hesitation; not harsh; fluent.
- Suave; sophisticated.
- (chiefly of water) Placid, calm.
- smooth and unconstrained in movement
- of the margin of a leaf shape; not broken up into teeth
- smoothly agreeable and courteous with a degree of sophistication
- lacking obstructions or difficulties
- (of a body of water) free from disturbance by heavy waves
- having a surface free from roughness or bumps or ridges or irregularities
- of motion that runs or flows or proceeds without jolts or turbulence
- (music) without breaks between notes; smooth and connected
adv
noun
verb
- (transitive) To make straightforward or easy.
- (transitive) To make smooth or even.
- (West Country) To stroke; especially to stroke an animal's fur.
- (transitive) To calm or palliate.
- (transitive) To reduce to a particular shape or form by pressure; to press, to flatten.
- (statistics, image processing, digital audio) To capture important patterns in the data, while leaving out noise.
- free from obstructions
- make smooth or smoother, as if by rubbing
- make (a surface) shine