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noun
- (mathematics, probability theory) A complex function completely defining the probability distribution of a real-valued random variable
- (mathematical analysis) A function which is equal to 1 for all points in its domain which belong to a given set, and is equal to 0 for all points in the domain which do not belong to that given set.
- (electronics) graph showing how a particular characteristic of a device varies with other parameters
noun
- (computing) A function that returns a random or pseudo-random value that is distributed according to a specific probability distribution associated with the function.
- (mathematics) A function chosen at random from a set of functions.
- (mathematics, computing) A function whose formula is always the same, but whose initial value is chosen at random from a set of possible values (its domain).
noun
- (statistics, probability theory) The probability that some fixed outcome was generated by a random distribution with a specific parameter.
- Likeness, resemblance.
- The probability of a specified outcome; the chance of something happening; probability; the state or degree of being probable.
- the probability of a specified outcome
noun
- (mathematics, statistics) A probability distribution; the set of relative likelihoods that a variable will have a value in a given interval.
- 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.
- (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.
- 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.
- 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
- (mathematics, probability theory) A function that maps elements of an index set to elements of a collection of random variables; historically, a collection of random variables indexed by a set of numbers usually regarded as points in time.
- a statistical process involving a number of random variables depending on a variable parameter (which is usually time)
noun
- (mathematics) A type of circumstance or event that is described by a probability distribution.
- A measure of the lack of purpose, logic, or objectivity of an event.
- The property of all possible outcomes being equally likely.
- the quality of lacking any predictable order or plan
- (thermodynamics) a thermodynamic quantity representing the amount of energy in a system that is no longer available for doing mechanical work
noun
- (mathematics) A function which, being applied to output from a weakly random entropy source, together with a short, uniformly random seed, generates a highly random output that appears independent from the source and uniformly distributed.
- A device for rendering wax.
- A centrifugal drying machine.
- (in a gun) A part of the bolt that removes a cartridge from the chamber.
- (graph theory) A particular kind of bipartite graph.
- (chemistry) An apparatus that uses a solvent to remove soluble substances from a mixture.
- A machine for clearing combs of honey.
- an instrument for extracting tight-fitting components
- an apparatus that uses centrifugal force to separate particles from a suspension
- a mechanism in a firearm that pulls an empty shell case out of the chamber and passes it to the ejector
noun
- (statistics, loosely) A quantity whose value is random and to which a probability distribution is assigned, such as the possible outcome of a roll of a dice.
- (statistics, formally) A measurable function from a sample space to the measurable space of possible values of the variable.
- a variable quantity that is random
noun
- (mathematics, statistics) The probability that an outcome will fall into a given range, per unit of that range; the relative likelihood of possible values of a continuous random variable.
- (physics) A measure of the mass of matter contained by a unit volume.
- The ratio of one quantity, representing something of interest, to another quantity representing space, area, or extent in which the thing of interest is distributed.
- Stupidity.
- the amount per unit size
- the spatial property of being crowded together
noun
- (mathematics, physics) A probability distribution for the state of the system.
- (machine learning) A supervised learning algorithm combining multiple hypotheses.
- (collective) A group of musicians, dancers, actors, etc who perform together; e.g. the chorus of a ballet company.
- (fashion) A coordinated set of clothing: a set of garments selected to accompany one another.
- (music) A piece for several instrumentalists or vocalists.
- a coordinated outfit (set of clothing)
- an assemblage of parts or details (as in a work of art) considered as forming a whole
- a cast other than the principals
- the chorus of a ballet company
- a group of musicians playing or singing together
verb
noun
- (statistics, probability) A tail of a probability distribution with infinite variance.
- A mass of fat stored in the rump of a beast as an adaptation to heat and harsh environmental conditions or selection by man.
- (statistics, probability) A tail of a probability distribution with significantly higher kurtosis than a normal distribution (which has kurtosis = 0).
- The relatively high probability of a relatively extreme outcome.
noun
name
noun
verb
noun
- (probability theory) The result of a random trial. An element of a sample space.
- That which is produced or occurs as a result of an event or process.
- (chiefly sports) The scoreline; the result.
- (education) The anticipated or desired results or evidence of a learning experience.
- a phenomenon that follows and is caused by some previous phenomenon
- something that results
noun
- (statistics) Abbreviation of probability.
- (UK) Abbreviation of penny or pence.
- (physics) Abbreviation of proton.
- Alternative form of p., abbreviation of page (plural pp).
- Abbreviation of piss (“urine”).
- (video compression) Abbreviation of progressive scan.
- (New Zealand, slang) Methamphetamine.
- the 16th letter of the Roman alphabet
adv
character
num
prep
verb
adj
- (mathematics) Of a complex random variable, correlated with its conjugate.
- Not according to facts; inaccurate or erroneous.
- Not properly named; See, for example, improper fraction.
- Unsuitable to needs or circumstances; inappropriate; inapt.
- Not consistent with established facts; incorrect.
- Not in keeping with conventional mores or good manners; indecent or immodest.
- not suitable or right or appropriate
- not conforming to legality, moral law, or social convention
- not appropriate for a purpose or occasion
noun
- A branch of probability and statistics concerned with deriving information about properties of random variables, stochastic processes, and systems based on observed samples.
- A branch of statistics that deals with estimating the values of parameters based on measured empirical data that has a random component.
adj
- (statistics) Involving an outcome which is impossible to predict, but which may be represented by a probability distribution; in the ideal case, involving outcomes which are equally likely.
- (UK, slang) Being out of the ordinary; unusual or unexpected; odd, strange, bizarre.
- (computing) Pseudorandom; mimicking the result of random selection.
- (informal) Selected for no particular reason; arbitrary; unspecified.
- Occurring for no particular reason; haphazard, unpredictable.
- (informal) Of a person: characterized by or often saying random things; habitually using non sequiturs.
- (informal) Being (part of) a varied, unrelated, and apparently arbitrary collection of things; diverse, heterogeneous.
- (informal) Apropos of nothing; lacking context, relevance, or any connection to the previous situation; unexpected.
- lacking any definite plan or order or purpose; governed by or depending on chance
noun
verb
adj
- (statistics) Having a probability that is affected by the outcome of a separate event.
- Hanging down.
- Relying upon; depending upon.
- (of Irish/Manx/Scottish (Gaelic) verb forms) Used after a particle (with one or two exceptions), such as those which express questions, subordinate clauses, and negative sentences.
- (medicine) Of part of the body: positioned lower than the heart, like the legs while standing up, or the back while supine.
- held from above and hanging down
- addicted to a drug
- relying on or requiring a person or thing for support, supply, or what is needed
- (of a clause) unable to stand alone syntactically as a complete sentence
- contingent on something else
- being under the power or sovereignty of another or others
noun
- (grammar) An element in phrase or clause structure that is not the head. Includes complements, modifiers and determiners.
- A person who relies on another for support or sustenance, particularly financial support.
- (philosophy) dependent (origination), in Buddhism, the idea that the existence of everything is conditional and dependent on a cause, and that nothing happens fortuitously or by chance.
- (grammar) The aorist subjunctive or subjunctive perfective: a form of a verb not used independently but preceded by a particle to form the negative or a tense form. Found in Greek and in the Gaelic languages.
- a person who relies on another person for support (especially financial support)
noun
- (statistics) A discrete probability distribution that represents the result of a single trial, taking value 1 with "success" probability p and value 0 with "failure" probability q=1-p.
- a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of success
noun
- (informal) An imaginary or perceived "law" of probabilities which is wrongly used to predict results in the short-term.
- (statistics) The statistical tendency toward a fixed proportion in the results when an experiment is repeated a large number of times.
- A real or purported law from centuries past regarding the distribution of recompense after a loss at sea due to an act of God, said by some (but not others) to explain why the word average evolved a sense having to do with means, medians, modes, etc.
- a law affirming that in the long run probabilities will determine performance
noun
- The probability that an event will take place given the restrictive assumption that another event has taken place, or that a combination of other events has taken place. (Mathematically, the definition would be that the conditional probability of B given A is equal to the joint probability of A and B divided by the probability of A.)
- the probability that an event will occur given that one or more other events have occurred
adj
- (probability theory, statistics, of a distribution, random variable, etc.) Which has a very specific bell curve shape; that is or has the qualities of a normal distribution.
- (topology, of a topology or topological space) In which disjoint closed sets can be separated by disjoint neighborhoods.
- (linear algebra, of a matrix) Which commutes with its conjugate transpose.
- (complex analysis, of a family of continuous functions) Which is pre-compact.
- (commutative algebra, of a domain) Integrally closed: equal its own integral closure in its field of fractions.
- (functional analysis, of a Hilbert space operator) Which commutes with its adjoint.
- (physics, of a mode in an oscillating system) In which all parts of an object vibrate at the same frequency (a normal mode).
- (rail transport, of points) In the default position, set for the most frequently used route.
- (chemistry) Of, relating to, or being a solution containing one equivalent weight of solute per litre of solution.
- (category theory, of a category) Which contains only normal morphisms.
- (organic chemistry) Describing a straight chain isomer of an aliphatic hydrocarbon, or an aliphatic compound in which a substituent is in the 1- position of such a hydrocarbon.
- (fandom slang, sarcastic, with “about”) Fervently interested in a subject; obsessed.
- (algebraic geometry, of a variety or scheme) Such that the local ring at every point is an integrally closed domain.
- (category theory, of a morphism) Which is the kernel or cokernel of some morphism, respectively.
- (number theory, of a real number) In whose representation in a given base b ≥ 2, for every positive integer n, the bⁿ possible strings of n digits follow a uniform distribution.
- Usual, healthy; not sick or ill or unlike oneself.
- (set theory, of a function from the ordinals to the ordinals) Which is strictly monotonically increasing and continuous with respect to the order topology.
- (algebra, of a field extension of a field K) Which is the splitting field of a family of polynomials in K.
- (algebra, of a subgroup) With cosets which form a group.
- (commutative algebra, of a ring) Such that all of its localizations at prime ideals are integrally closed domains.
- (education, of a school) Teaching teachers how to teach; teaching teachers the norms of education.
- According to norms or rules or to a regular pattern.
- (geometry) Perpendicular to a tangent of a curve or tangent plane of a surface.
- in accordance with scientific laws
- conforming with or constituting a norm or standard or level or type or social norm; not abnormal
- forming a right angle
- being approximately average or within certain limits in e.g. intelligence and development
noun
- (geometry, countable) A line or vector that is perpendicular to another line, surface, or plane.
- (medicine, countable) A person who is healthy, normal, as opposed to one who is morbid.
- (slang, countable) A person who is normal, who fits into mainstream society, as opposed to those who live alternative lifestyles.
- (countable, uncountable) The usual state.
- something regarded as a normative example
adj
- (probability theory, Fourier analysis, of a distribution S on Euclidean n-space (or on ℝⁿmathbf 0)) Informally: Determined by its restriction to the unit sphere. Formally: Such that, for all real t>0 and test functions ϕ( mathbf x), the equality S[t⁻ⁿϕ( mathbf x/t)]=t^(mS)[ϕ( mathbf x)] holds for some fixed real or complex m.
- (ring theory, of an element of a graded ring) Belonging to one of the summands of the grading (if the ring is graded over the natural numbers and the element is in the kth summand, it is said to be homogeneous of degree k; if the ring is graded over a commutative monoid I, and the element is an element of the ith summand, it is said to be of grade i)
- (of a linear differential equation) Having its degree-zero term equal to zero; admitting the trivial solution.
- (algebra, of a polynomial) Such that all its nonzero terms have the same degree.
- Having the same composition throughout; of uniform make-up.
- Of the same kind; alike, similar.
- (of a linear map f between vector spaces graded by a commutative monoid I) Which respects the grading of its domain and codomain. Formally: Satisfying f(V_j)⊆W_i+j for fixed i (called the degree or grade of f), V_j the jth component of the grading of f 's domain, W_k the kth component of the grading of f 's codomain, and + representing the monoid operation in I.
- (geometry, of a space equipped with a group action) Informally: Everywhere the same, uniform, in the sense that any point can be moved to any other (via the group action) while respecting the structure of the space. Formally: Such that the group action is transitively and acts by automorphisms on the space (some authors also require that the action be faithful).
- (set theory, order theory, of a relation) Holding between a set and itself; being an endorelation.
- (of a first-order differential equation) Capable of being written in the form f(x,y) mathop dy=g(x,y) mathop dx where f and g are homogeneous functions of the same degree as each other.
- (linear algebra, by specialization, of a system of linear equations) Such that all the constant terms are zero.
- (mathematics) In any of several technical senses uniform; scalable; having its behavior or form determined by, or the same as, its behavior on or form at a smaller component (of its domain of definition, of itself, etc.).
- (geometry) Of or relating to homogeneous coordinates.
- The function f(x,y)#61;x²#43;x²ʸ#43;y² is not homogeneous on all of #92;mathbb#123;R#125;² because f(2,2)#61;16#92;neq 2ᵏ#42;3#61;2ᵏf(1,1) for any k, but f is homogeneous on the subspace of #92;mathbb#123;R#125;² spanned by (1,0) because f(#92;alphax,#92;alphay)#61;#92;alphax²#61;#92;alpha²f(x,y) for all (x,y)#92;in#92;operatorname#123;Span#125;#92;#123;(1,0)#92;#125;.
- (mathematical analysis, generalizing the case of polynomial functions, of a function f) Such that if each of f 's inputs are multiplied by the same scalar, f 's output is multiplied by the same scalar to some fixed power (called the degree of homogeneity or degree of f). (Formally and more generally, of a partial function f between vector spaces whose domain is a linear cone) Satisfying the equality f(s mathbf x)=sᵏᶠ(
- (of a general differential equation) Homogeneous as a function of the dependent variable and its derivatives.
- (chemistry) In the same state of matter.
- all of the same or similar kind or nature
noun
- (mathematics, probability theory) A complex function completely defining the probability distribution of a real-valued random variable
- (mathematical analysis) A function which is equal to 1 for all points in its domain which belong to a given set, and is equal to 0 for all points in the domain which do not belong to that given set.
- (electronics) graph showing how a particular characteristic of a device varies with other parameters
noun
- (computing) A function that returns a random or pseudo-random value that is distributed according to a specific probability distribution associated with the function.
- (mathematics) A function chosen at random from a set of functions.
- (mathematics, computing) A function whose formula is always the same, but whose initial value is chosen at random from a set of possible values (its domain).
noun
- (statistics, probability theory) The probability that some fixed outcome was generated by a random distribution with a specific parameter.
- Likeness, resemblance.
- The probability of a specified outcome; the chance of something happening; probability; the state or degree of being probable.
- the probability of a specified outcome
noun
- (mathematics, statistics) A probability distribution; the set of relative likelihoods that a variable will have a value in a given interval.
- 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.
- (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.
- 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.
- 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
- (mathematics, probability theory) A function that maps elements of an index set to elements of a collection of random variables; historically, a collection of random variables indexed by a set of numbers usually regarded as points in time.
- a statistical process involving a number of random variables depending on a variable parameter (which is usually time)
noun
- (mathematics) A type of circumstance or event that is described by a probability distribution.
- A measure of the lack of purpose, logic, or objectivity of an event.
- The property of all possible outcomes being equally likely.
- the quality of lacking any predictable order or plan
- (thermodynamics) a thermodynamic quantity representing the amount of energy in a system that is no longer available for doing mechanical work
noun
- (mathematics) A function which, being applied to output from a weakly random entropy source, together with a short, uniformly random seed, generates a highly random output that appears independent from the source and uniformly distributed.
- A device for rendering wax.
- A centrifugal drying machine.
- (in a gun) A part of the bolt that removes a cartridge from the chamber.
- (graph theory) A particular kind of bipartite graph.
- (chemistry) An apparatus that uses a solvent to remove soluble substances from a mixture.
- A machine for clearing combs of honey.
- an instrument for extracting tight-fitting components
- an apparatus that uses centrifugal force to separate particles from a suspension
- a mechanism in a firearm that pulls an empty shell case out of the chamber and passes it to the ejector
noun
- (statistics, loosely) A quantity whose value is random and to which a probability distribution is assigned, such as the possible outcome of a roll of a dice.
- (statistics, formally) A measurable function from a sample space to the measurable space of possible values of the variable.
- a variable quantity that is random
noun
- (mathematics, statistics) The probability that an outcome will fall into a given range, per unit of that range; the relative likelihood of possible values of a continuous random variable.
- (physics) A measure of the mass of matter contained by a unit volume.
- The ratio of one quantity, representing something of interest, to another quantity representing space, area, or extent in which the thing of interest is distributed.
- Stupidity.
- the amount per unit size
- the spatial property of being crowded together
noun
- (mathematics, physics) A probability distribution for the state of the system.
- (machine learning) A supervised learning algorithm combining multiple hypotheses.
- (collective) A group of musicians, dancers, actors, etc who perform together; e.g. the chorus of a ballet company.
- (fashion) A coordinated set of clothing: a set of garments selected to accompany one another.
- (music) A piece for several instrumentalists or vocalists.
- a coordinated outfit (set of clothing)
- an assemblage of parts or details (as in a work of art) considered as forming a whole
- a cast other than the principals
- the chorus of a ballet company
- a group of musicians playing or singing together
verb
noun
- (statistics, probability) A tail of a probability distribution with infinite variance.
- A mass of fat stored in the rump of a beast as an adaptation to heat and harsh environmental conditions or selection by man.
- (statistics, probability) A tail of a probability distribution with significantly higher kurtosis than a normal distribution (which has kurtosis = 0).
- The relatively high probability of a relatively extreme outcome.
noun
name
noun
verb
noun
- (probability theory) The result of a random trial. An element of a sample space.
- That which is produced or occurs as a result of an event or process.
- (chiefly sports) The scoreline; the result.
- (education) The anticipated or desired results or evidence of a learning experience.
- a phenomenon that follows and is caused by some previous phenomenon
- something that results
noun
- (statistics) Abbreviation of probability.
- (UK) Abbreviation of penny or pence.
- (physics) Abbreviation of proton.
- Alternative form of p., abbreviation of page (plural pp).
- Abbreviation of piss (“urine”).
- (video compression) Abbreviation of progressive scan.
- (New Zealand, slang) Methamphetamine.
- the 16th letter of the Roman alphabet
adv
character
num
prep
verb
noun
- A branch of probability and statistics concerned with deriving information about properties of random variables, stochastic processes, and systems based on observed samples.
- A branch of statistics that deals with estimating the values of parameters based on measured empirical data that has a random component.
noun
- (statistics) A discrete probability distribution that represents the result of a single trial, taking value 1 with "success" probability p and value 0 with "failure" probability q=1-p.
- a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of success
noun
- (informal) An imaginary or perceived "law" of probabilities which is wrongly used to predict results in the short-term.
- (statistics) The statistical tendency toward a fixed proportion in the results when an experiment is repeated a large number of times.
- A real or purported law from centuries past regarding the distribution of recompense after a loss at sea due to an act of God, said by some (but not others) to explain why the word average evolved a sense having to do with means, medians, modes, etc.
- a law affirming that in the long run probabilities will determine performance
noun
- The probability that an event will take place given the restrictive assumption that another event has taken place, or that a combination of other events has taken place. (Mathematically, the definition would be that the conditional probability of B given A is equal to the joint probability of A and B divided by the probability of A.)
- the probability that an event will occur given that one or more other events have occurred
adj
- (mathematics) Of a complex random variable, correlated with its conjugate.
- Not according to facts; inaccurate or erroneous.
- Not properly named; See, for example, improper fraction.
- Unsuitable to needs or circumstances; inappropriate; inapt.
- Not consistent with established facts; incorrect.
- Not in keeping with conventional mores or good manners; indecent or immodest.
- not suitable or right or appropriate
- not conforming to legality, moral law, or social convention
- not appropriate for a purpose or occasion
adj
- (statistics) Involving an outcome which is impossible to predict, but which may be represented by a probability distribution; in the ideal case, involving outcomes which are equally likely.
- (UK, slang) Being out of the ordinary; unusual or unexpected; odd, strange, bizarre.
- (computing) Pseudorandom; mimicking the result of random selection.
- (informal) Selected for no particular reason; arbitrary; unspecified.
- Occurring for no particular reason; haphazard, unpredictable.
- (informal) Of a person: characterized by or often saying random things; habitually using non sequiturs.
- (informal) Being (part of) a varied, unrelated, and apparently arbitrary collection of things; diverse, heterogeneous.
- (informal) Apropos of nothing; lacking context, relevance, or any connection to the previous situation; unexpected.
- lacking any definite plan or order or purpose; governed by or depending on chance
noun
verb
adj
- (statistics) Having a probability that is affected by the outcome of a separate event.
- Hanging down.
- Relying upon; depending upon.
- (of Irish/Manx/Scottish (Gaelic) verb forms) Used after a particle (with one or two exceptions), such as those which express questions, subordinate clauses, and negative sentences.
- (medicine) Of part of the body: positioned lower than the heart, like the legs while standing up, or the back while supine.
- held from above and hanging down
- addicted to a drug
- relying on or requiring a person or thing for support, supply, or what is needed
- (of a clause) unable to stand alone syntactically as a complete sentence
- contingent on something else
- being under the power or sovereignty of another or others
noun
- (grammar) An element in phrase or clause structure that is not the head. Includes complements, modifiers and determiners.
- A person who relies on another for support or sustenance, particularly financial support.
- (philosophy) dependent (origination), in Buddhism, the idea that the existence of everything is conditional and dependent on a cause, and that nothing happens fortuitously or by chance.
- (grammar) The aorist subjunctive or subjunctive perfective: a form of a verb not used independently but preceded by a particle to form the negative or a tense form. Found in Greek and in the Gaelic languages.
- a person who relies on another person for support (especially financial support)
adj
- (probability theory, statistics, of a distribution, random variable, etc.) Which has a very specific bell curve shape; that is or has the qualities of a normal distribution.
- (topology, of a topology or topological space) In which disjoint closed sets can be separated by disjoint neighborhoods.
- (linear algebra, of a matrix) Which commutes with its conjugate transpose.
- (complex analysis, of a family of continuous functions) Which is pre-compact.
- (commutative algebra, of a domain) Integrally closed: equal its own integral closure in its field of fractions.
- (functional analysis, of a Hilbert space operator) Which commutes with its adjoint.
- (physics, of a mode in an oscillating system) In which all parts of an object vibrate at the same frequency (a normal mode).
- (rail transport, of points) In the default position, set for the most frequently used route.
- (chemistry) Of, relating to, or being a solution containing one equivalent weight of solute per litre of solution.
- (category theory, of a category) Which contains only normal morphisms.
- (organic chemistry) Describing a straight chain isomer of an aliphatic hydrocarbon, or an aliphatic compound in which a substituent is in the 1- position of such a hydrocarbon.
- (fandom slang, sarcastic, with “about”) Fervently interested in a subject; obsessed.
- (algebraic geometry, of a variety or scheme) Such that the local ring at every point is an integrally closed domain.
- (category theory, of a morphism) Which is the kernel or cokernel of some morphism, respectively.
- (number theory, of a real number) In whose representation in a given base b ≥ 2, for every positive integer n, the bⁿ possible strings of n digits follow a uniform distribution.
- Usual, healthy; not sick or ill or unlike oneself.
- (set theory, of a function from the ordinals to the ordinals) Which is strictly monotonically increasing and continuous with respect to the order topology.
- (algebra, of a field extension of a field K) Which is the splitting field of a family of polynomials in K.
- (algebra, of a subgroup) With cosets which form a group.
- (commutative algebra, of a ring) Such that all of its localizations at prime ideals are integrally closed domains.
- (education, of a school) Teaching teachers how to teach; teaching teachers the norms of education.
- According to norms or rules or to a regular pattern.
- (geometry) Perpendicular to a tangent of a curve or tangent plane of a surface.
- in accordance with scientific laws
- conforming with or constituting a norm or standard or level or type or social norm; not abnormal
- forming a right angle
- being approximately average or within certain limits in e.g. intelligence and development
noun
- (geometry, countable) A line or vector that is perpendicular to another line, surface, or plane.
- (medicine, countable) A person who is healthy, normal, as opposed to one who is morbid.
- (slang, countable) A person who is normal, who fits into mainstream society, as opposed to those who live alternative lifestyles.
- (countable, uncountable) The usual state.
- something regarded as a normative example
adj
- (probability theory, Fourier analysis, of a distribution S on Euclidean n-space (or on ℝⁿmathbf 0)) Informally: Determined by its restriction to the unit sphere. Formally: Such that, for all real t>0 and test functions ϕ( mathbf x), the equality S[t⁻ⁿϕ( mathbf x/t)]=t^(mS)[ϕ( mathbf x)] holds for some fixed real or complex m.
- (ring theory, of an element of a graded ring) Belonging to one of the summands of the grading (if the ring is graded over the natural numbers and the element is in the kth summand, it is said to be homogeneous of degree k; if the ring is graded over a commutative monoid I, and the element is an element of the ith summand, it is said to be of grade i)
- (of a linear differential equation) Having its degree-zero term equal to zero; admitting the trivial solution.
- (algebra, of a polynomial) Such that all its nonzero terms have the same degree.
- Having the same composition throughout; of uniform make-up.
- Of the same kind; alike, similar.
- (of a linear map f between vector spaces graded by a commutative monoid I) Which respects the grading of its domain and codomain. Formally: Satisfying f(V_j)⊆W_i+j for fixed i (called the degree or grade of f), V_j the jth component of the grading of f 's domain, W_k the kth component of the grading of f 's codomain, and + representing the monoid operation in I.
- (geometry, of a space equipped with a group action) Informally: Everywhere the same, uniform, in the sense that any point can be moved to any other (via the group action) while respecting the structure of the space. Formally: Such that the group action is transitively and acts by automorphisms on the space (some authors also require that the action be faithful).
- (set theory, order theory, of a relation) Holding between a set and itself; being an endorelation.
- (of a first-order differential equation) Capable of being written in the form f(x,y) mathop dy=g(x,y) mathop dx where f and g are homogeneous functions of the same degree as each other.
- (linear algebra, by specialization, of a system of linear equations) Such that all the constant terms are zero.
- (mathematics) In any of several technical senses uniform; scalable; having its behavior or form determined by, or the same as, its behavior on or form at a smaller component (of its domain of definition, of itself, etc.).
- (geometry) Of or relating to homogeneous coordinates.
- The function f(x,y)#61;x²#43;x²ʸ#43;y² is not homogeneous on all of #92;mathbb#123;R#125;² because f(2,2)#61;16#92;neq 2ᵏ#42;3#61;2ᵏf(1,1) for any k, but f is homogeneous on the subspace of #92;mathbb#123;R#125;² spanned by (1,0) because f(#92;alphax,#92;alphay)#61;#92;alphax²#61;#92;alpha²f(x,y) for all (x,y)#92;in#92;operatorname#123;Span#125;#92;#123;(1,0)#92;#125;.
- (mathematical analysis, generalizing the case of polynomial functions, of a function f) Such that if each of f 's inputs are multiplied by the same scalar, f 's output is multiplied by the same scalar to some fixed power (called the degree of homogeneity or degree of f). (Formally and more generally, of a partial function f between vector spaces whose domain is a linear cone) Satisfying the equality f(s mathbf x)=sᵏᶠ(
- (of a general differential equation) Homogeneous as a function of the dependent variable and its derivatives.
- (chemistry) In the same state of matter.
- all of the same or similar kind or nature