Parole in English per '(statistics) A function of the spatial dependence of variance; a graph of this function'
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noun
- (statistics) The curve of a cumulative distribution function.
- (weaponry, ballistics) The pointed, curved nose of a bullet, missile, or rocket.
- (architecture) A Gothic pointed arch, or a rib of a Gothic vault.
- (geology) A three-dimensional wave-bulge, characteristic of glaciers that have experienced extreme underlying topographic change.
- front consisting of the conical head of a missile or rocket that protects the payload from heat during its passage through the atmosphere
noun
- (statistics) A function that represents the association between two or more variables, independent of the individual marginal distributions of the variables.
- (biology) The act of copulation; mating.
- (music) A device that connects two or more keyboards of an organ.
- (linguistics, grammar) A word, usually a verb, used to link the subject of a sentence with a predicate (usually a subject complement or an adverbial), that unites or associates the subject with the predicate.
- The bond or relationship by which two things are combined into a unity.
- an equating verb (such as ‘be’ or ‘become’) that links the subject with the complement of a sentence
adj
- (comparable, statistics) Of a distribution: asymmetrical about its mean.
- (not comparable) Neither parallel nor perpendicular to a certain line; askew.
- (not comparable, geometry) Of two lines in three-dimensional space: neither intersecting nor parallel.
- having an oblique or slanting direction or position
noun
- (statistics) A state of asymmetry in a distribution; skewness.
- An oblique or sideways movement.
- A squint or sidelong glance.
- A bias or distortion in a particular direction.
- Something that has an oblique or slanted position.
- (chiefly Scotland, architecture) The coping of a gable.
- (chiefly Cornwall) A thick drizzling rain or driving mist.
- (electronics) A phenomenon in synchronous digital circuit systems (such as computers) in which the same sourced clock signal arrives at different components at different times.
- A kind of wooden vane or cowl in a chimney which revolves according to the direction of the wind and prevents smoking.
- (architecture) A stone at the foot of the slope of a gable, the offset of a buttress, etc., cut with a sloping surface and with a check to receive the coping stones and retain them in place; a skew-corbel.
- A piece of rock lying in a slanting position and tapering upwards which overhangs a working-place in a mine and is liable to fall.
verb
- (statistics) To cause (a distribution) to be asymmetrical.
- (intransitive) To look at obliquely; to squint; hence, to look slightingly or suspiciously.
- (transitive) To form or shape in an oblique way; to cause to take an oblique position.
- (transitive, Northumbria, Yorkshire) To hurl or throw.
- (transitive) To bias or distort in a particular direction.
- (intransitive) To move obliquely; to move sideways, to sidle; to lie obliquely.
- (intransitive) To jump back or sideways in fear or surprise; to shy, as a horse.
- turn or place at an angle
adv
noun
- (statistics) the mean value of the product of the deviations of two variates from their respective means
- (statistics) A statistical measure defined as scriptstyle operatorname Cov(X,Y)= operatorname E((X-μ)(Y-ν)) given two real-valued random variables X and Y, with expected values scriptstyle E(X),=,μ and scriptstyle E(Y),=,ν.
- (object-oriented programming) The conversion of data types from wider to narrower in certain situations.
noun
name
noun
- (statistics) The phenomenon where an independent variable no longer has an effect on a dependent variable, or the level above which variance in an independent variable is no longer measurable.
- (pharmacology) The process of increasing doses of a given medication to have progressively smaller incremental effect.
noun
- (statistics) A collection of statistical models, and their associated procedures, in which the observed variance is partitioned into components due to different explanatory variables.
- a statistical method for making simultaneous comparisons between two or more means; a statistical method that yields values that can be tested to determine whether a significant relation exists between variables
verb
- (statistics, transitive) To reduce the variations by excluding irrelevant aspects.
- (transitive) To consider normal, to treat as standard in the face of older norms.
- (transitive) To make normal, to bring into alignment with an established standard.
- (intransitive) To become normal; to return to a normal state.
- (mathematics, transitive) To divide a vector by its magnitude to produce a unit vector.
- (transitive) To format in a standardized manner, to make consistent.
- (rail transport, intransitive, of points) To return to the normal position from the reverse position.
- (metallurgy, transitive) To anneal (steel) for the purpose of decreasing brittleness and increasing ductility.
- (rail transport, transitive) To return a set of points (switches) to the normal position.
- (computing, databases, transitive) To subject to normalization; to eliminate redundancy in (a model for storing data).
- (mathematics, transitive) To constrain a number's absolute value to be 1 at maximum. More generally, to constrain the magnitude of a mathematical quantity to be 1 at maximum.
- become normal or return to its normal state
- bring to a desired consistency, texture, or hardness by a process of gradually heating and cooling
- make normal or cause to conform to a norm or standard
noun
- Initialism of radial distribution function.
- Initialism of Rwanda Defence Force.
- Initialism of refuse-derived fuel.
- Initialism of reality distortion field, used for describing how exposure to a charismatic person can change people's behavior.
- Initialism of radio direction finding.
- Initialism of random dopant fluctuation, used in semiconductor process development. RDF is a significant cause of MOS Threshold Voltage variation in nanometer scale devices.
- Initialism of Resource Description Framework, used for conceptual modelling of information on the Web.
noun
- a statistic describing the location of a distribution
- an intermediate scale value regarded as normal or usual
- (sports) the ratio of successful performances to opportunities
- (statistics) Any measure of central tendency, especially any mean, the median, or the mode.
- (law, marine) Financial loss due to damage to transported goods; compensation for damage or loss.
- (mathematics) The arithmetic mean.
- (sports) An indication of a player's ability calculated from his scoring record, etc.
adj
- lacking special distinction, rank, or status; commonly encountered
- relating to or constituting the most frequent value in a distribution
- approximating the statistical norm or average or expected value
- around the middle of a scale of evaluation
- lacking exceptional quality or ability
- relating to or constituting the middle value of an ordered set of values (or the average of the middle two in a set with an even number of values)
- (not comparable) Constituting or relating to the average.
- (informal) Not outstanding, not good, banal; bad or poor.
- Typical.
- Neither very good nor very bad; rated somewhere in the middle of all others in the same category.
verb
- compute the average of
- achieve or reach on average
- amount to or come to an average, without loss or gain
- (transitive) To divide among a number, according to a given proportion.
- (transitive) Over a period of time or across members of a population, to have or generate a mean value of.
- (transitive) To compute the average of, especially the arithmetic mean.
- (intransitive) To be, generally or on average.
noun
- a statistic describing the location of a distribution
- a standard or model or pattern regarded as typical
- (algebra) An element of the image of some (generalized) norm, the element then said to be from the norm in question, or from the structure which gave rise to the norm.
- (mathematics) Any of several generalizations of the above: a field norm, ideal norm, etc.
- if v ne 0 then ‖v‖ ne 0;
- That which is normal or typical.
- given a scalar k, ‖kv‖=|k|·‖v‖, where |k| is the absolute value of k;
- given two vectors v,w, ‖v+w‖<‖v‖+‖w‖ (the triangle inequality).
- (philosophy, computer science) A sentence with non-descriptive meaning, such as a command, permission, or prohibition.
- A rule that is imposed by regulations and/or socially enforced by members of a community.
- (chess) A high level of performance in a chess tournament, several of which are required for a player to receive a title.
verb
noun
- (statistics) Abbreviation of variance.
- (bodybuilding, slang, uncountable) Clipping of Anavar.
- (physics) A unit of electrical power, in an AC circuit, equal to the power dissipated when 1 volt produces a current of 1 ampere.
- (programming) Abbreviation of variable.
- a unit of electrical power in an AC circuit equal to the power dissipated when 1 volt produces a current of 1 ampere
adj
- (statistics) Statistically independent, with reference to variates.
- Of a pair of vectors: having a zero inner product; perpendicular.
- Of a square matrix: such that its transpose is equal to its inverse.
- Of a linear transformation: preserving its angles.
- (geometry) Of two objects, at right angles; perpendicular to each other.
- Of a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.
- (software engineering) Of two or more aspects of a problem, able to be treated separately; of a design, exhibiting consistency and composability.
- Of two or more problems or subjects, independent of or irrelevant to each other.
- Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.
- having a set of mutually perpendicular axes; meeting at right angles
- not pertinent to the matter under consideration
- statistically unrelated
noun
noun
- (statistics) An element belonging to a population.
- (law) A single physical human being as a legal subject, as opposed to a legal person such as a corporation.
- An object, be it a thing or an agent, as contrasted to a class.
- A person considered alone, rather than as belonging to a group of people.
- a single organism
- a human being; person, singular, assertive existential pronoun; pronoun, person, singular; quantifier: assertive existential
adj
- Intended for a single person as opposed to more than one person.
- Relating to a single person or thing as opposed to more than one.
- Not divisible without losing its identity.
- concerning one person exclusively
- characteristic of or meant for a single person or thing
- being or characteristic of a single thing or person
noun
- (statistics) Any relationship between two measured quantities that renders them statistically dependent (but not necessarily causal or a correlation).
- (Philippines, Chinese Filipino) A benevolent overseas Chinese organization of popular origin for overseas Chinese individuals with the same surname, geographical origin, location, trade or business.
- (countable) The state of being associated; a connection to or an affiliation with something.
- A group of persons associated for a common purpose; an organization; society.
- (object-oriented programming) Relationship between classes of objects that allows one object instance to cause another to perform an action on its behalf.
- (uncountable) The act of associating.
- the state of being connected together as in memory or imagination
- the process of bringing ideas or events together in memory or imagination
- (ecology) a group of organisms (plants and animals) that live together in a certain geographical region and constitute a community with a few dominant species
- (chemistry) any process of combination (especially in solution) that depends on relatively weak chemical bonding
- the act of consorting with or joining with others
- a social or business relationship
- a formal organization of people or groups of people
- a relation resulting from interaction or dependence
adj
- (of a general differential equation) Homogeneous as a function of the dependent variable and its derivatives.
- (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.
- (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.
- 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(
- (chemistry) In the same state of matter.
- all of the same or similar kind or nature
noun
- (statistics) An analytic method to measure the association of one or more independent variables with a dependent variable.
- An action of travelling mentally back in time.
- (psychotherapy) A psychotherapeutic method whereby healing is facilitated by inducing the patient to act out behaviour typical of an earlier developmental stage.
- (statistics) An equation using specified and associated data for two or more variables such that one variable can be estimated from the remaining variable(s).
- An action of regressing, a return to a previous state.
- (medicine) The diminishing of a cellular mass like a tumor, or of an organ size.
- (exercise) The making an exercise less straining to perform by manipulating the details of its performance like loaded weight, range of motion, angle, speed.
- (programming) The reappearance of a bug in a piece of software that had previously been fixed.
- an abnormal state in which development has stopped prematurely
- (psychiatry) a defense mechanism in which you flee from reality by assuming a more infantile state
- returning to a former state
- the relation between selected values of x and observed values of y (from which the most probable value of y can be predicted for any value of x)
noun
- (statistics) For interval variables and ratio variables, a measure of difference between the observed value and the mean.
- A departure from the correct way of acting.
- (metrology) The signed difference between a value and its reference value.
- (contract law) The voluntary and unnecessary departure of a ship from, or delay in, the regular and usual course of the specific voyage insured, thus releasing the underwriters from their responsibility.
- (Absolute Deviation) The shortest distance between the center of the target and the point where a projectile hits or bursts.
- The act of deviating; wandering off the correct or true path or road.
- A detour in a road or railway.
- (aviation) A detour to one side of the originally-planned flightpath (for instance, to avoid weather); the act of making such a detour.
- The state or result of having deviated; a transgression; an act of sin; an error; an offense.
- the difference between an observed value and the expected value of a variable or function
- a turning aside (of your course or attention or concern)
- deviate behavior
- a variation that deviates from the standard or norm
- the error of a compass due to local magnetic disturbances
noun
- (statistics) The part of a distribution most distant from the mode.
- An object or part of an object resembling a tail in shape, such as the thongs on a cat-o'-nine-tails.
- (electrical engineering) Synonym of pigtail (“a short length of twisted electrical wire”).
- (typography) The lower loop of the letters in the Roman alphabet, as in g, q or y.
- (mathematics) All the last terms of a sequence, from some term on.
- (slang) The penis of a person or animal.
- (surgery) A portion of an incision, at its beginning or end, which does not go through the whole thickness of the skin, and is more painful than a complete incision; called also tailing.
- (slang, uncountable) Sexual intercourse.
- The back, last, lower, or inferior part of anything.
- (nautical) A rope spliced to the strap of a block, by which it may be lashed to anything.
- A train or company of attendants; a retinue.
- (law) Limitation of inheritance to certain heirs.
- A downy or feathery appendage of certain achens, formed of the permanent elongated style.
- (chiefly in the plural) The side of a coin not bearing the head; normally the side on which the monetary value of the coin is indicated; the reverse.
- (now colloquial, chiefly US) The buttocks or backside.
- (mining) A tailing.
- The latter part of a time period or event, or (collectively) persons or objects represented in this part.
- (anatomy) The caudal appendage of an animal that is attached to their posterior and near the anus or cloaca.
- (anatomy) The distal tendon of a muscle.
- The tail-end of any object.
- (architecture) The bottom or lower portion of a member or part such as a slate or tile.
- The feathers attached to the pygostyle of a bird.
- (kayaking) The stern; the back of the kayak.
- The rear structure of an aircraft, the empennage.
- (cricket) The lower order of batsmen in the batting order, usually specialist bowlers.
- One of the strips at the end of a bandage formed by splitting the bandage one or more times.
- (entomology) A filamentous projection on the tornal section of each hind wing of certain butterflies.
- (astronomy) The visible stream of dust and gases blown from a comet by the solar wind.
- (chemistry) The final fraction of a distillation run, typically containing impurities and fusel oils.
- One who surreptitiously follows another.
- (music) The part of a note which runs perpendicularly upward or downward from the head; the stem.
- any projection that resembles the tail of an animal
- (usually plural) the reverse side of a coin that does not bear the representation of a person's head
- the rear part of an aircraft
- the rear part of a ship
- the posterior part of the body of a vertebrate especially when elongated and extending beyond the trunk or main part of the body
- a spy employed to follow someone and report their movements
- the fleshy part of the human body that you sit on
- the time of the last part of something
adj
verb
- To pull or draw by the tail.
- (architecture) To hold by the end; said of a timber when it rests upon a wall or other support; with in or into
- To follow or hang to, like a tail; to be attached closely to, as that which can not be evaded.
- (nautical) To swing with the stern in a certain direction; said of a vessel at anchor.
- (transitive) To follow and observe surreptitiously.
- remove or shorten the tail of an animal
- remove the stalk of fruits or berries
- go after with the intent to catch
adj
- possessing a differential coefficient or derivative
- capable of being perceived as different
- (comparable, of multiple items) able to be differentiated; distinguishable, as for example by differing appearance or measurable characteristics.
- (calculus, not comparable) Having a derivative, said of a function whose domain and codomain are manifolds.
noun
- (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrence
- the act of distributing or spreading or apportioning
- 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
- 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.
- (mathematics, statistics) A probability distribution; the set of relative likelihoods that a variable will have a value in a given interval.
noun
- (calculus, of a function) The ratio of the rates of change of a dependent variable and an independent variable, the slope of a curve's tangent.
- A slope or incline.
- (sciences) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
- (calculus) A differential operator that maps each point of a scalar field to a vector pointed in the direction of the greatest rate of change of the scalar. Notation for a scalar field φ: ∇φ
- A gradual change in color; a color gradient; gradation.
- A rate of inclination or declination of a slope.
- the property possessed by a line or surface that departs from the horizontal
- a graded change in the magnitude of some physical quantity or dimension
adj
noun
- (statistics) A measure of how far the data tend to deviate from the average.
- (geometry) An unlimited expanse of discontinuous points.
- The act of spreading.
- A piece of material used as a cover (such as a bedspread).
- (gambling) The difference between the teams' final scores at the end of a sport match.
- (debating slang) An act or instance of spreading (speedreading).
- Two facing pages in a book, newspaper etc.
- A numerical difference.
- (trading, finance) The purchase of one delivery month of one commodity against the sale of that same delivery month of a different commodity.
- An expanse of land.
- A large meal, especially one laid out on a table.
- (finance) The difference between the prices of two similar items.
- A large tract of land used to raise livestock; a cattle ranch.
- (cartomancy) A layout, pattern or design of cards arranged for a reading.
- (trading, economics, finance) The difference between the price of a futures month and the price of another month of the same commodity.
- (business, economics) The difference between the wholesale and retail prices.
- (trading) The difference between bidding and asking price.
- (bread, etc.) Any form of food designed to be spread, such as butters or jams.
- Excessive width of the trails of ink written on overly absorbent paper.
- The surface in proportion to the depth of a cut gemstone.
- (prison slang, uncountable) Food improvised by inmates from various ingredients to relieve the tedium of prison food.
- An item in a newspaper or magazine that occupies more than one column or page.
- Something that has been spread.
- (trading) An arbitrage transaction of the same commodity in two markets, executed to take advantage of a profit from price discrepancies.
- (trading, finance) The purchase of a futures contract of one delivery month against the sale of another futures delivery month of the same commodity.
- (military) A set of multiple torpedoes launched on side-by-side, slowly-diverging paths toward one or more enemy ships.
- a meal that is well prepared and greatly enjoyed
- a haphazard distribution in all directions
- the expansion of a person's girth (especially at middle age)
- a conspicuous disparity or difference as between two figures
- decorative cover for a bed
- two facing pages of a book or other publication
- farm consisting of a large tract of land along with facilities needed to raise livestock (especially cattle)
- process or result of distributing or extending over a wide expanse of space
- act of extending over a wider scope or expanse of space or time
- a tasty mixture to be spread on bread or crackers or used in preparing other dishes
verb
- (transitive) To stretch out, open out (a material etc.) so that it more fully covers a given area of space.
- (transitive) To disseminate; to cause to proliferate, to make (something) widely known or present.
- (transitive) To smear, to distribute in a thin layer.
- (transitive) To cover (something) with a thin layer of some substance, as of butter.
- (intransitive, transitive, debating slang) To speedread; to recite one's arguments at an extremely fast pace.
- (transitive) To disperse, to scatter or distribute over a given area.
- (intransitive) To proliferate; to become more widely present, to be disseminated.
- (intransitive) To take up a larger area or space; to expand, be extended.
- (intransitive, slang) To open one’s legs, especially for sexual favours.
- To prepare; to set and furnish with provisions.
- (transitive) To extend (individual rays, limbs etc.); to stretch out in varying or opposing directions. simple past and past participle of spread
- cause to become widely known
- cover by spreading something over
- become distributed or widespread
- move outward
- become widely known and passed on
- strew or distribute over an area
- distribute or disperse widely
- spread out or open from a closed or folded state
- distribute over a surface in a layer
- spread across or over
adj
noun
- (statistics) One of the several measures of the linear statistical relationship between two random variables, indicating both the strength and direction of the relationship.
- (algebra) An isomorphism from a projective space to the dual of a projective space, often to the dual of itself.
- A reciprocal, parallel or complementary relationship between two or more comparable objects.
- a statistical relation between two or more variables such that systematic changes in the value of one variable are accompanied by systematic changes in the other
- a statistic representing how closely two variables co-vary; it can vary from -1 (perfect negative correlation) through 0 (no correlation) to +1 (perfect positive correlation)
- a reciprocal relation between two or more things
noun
- (statistics) The curve of a cumulative distribution function.
- (weaponry, ballistics) The pointed, curved nose of a bullet, missile, or rocket.
- (architecture) A Gothic pointed arch, or a rib of a Gothic vault.
- (geology) A three-dimensional wave-bulge, characteristic of glaciers that have experienced extreme underlying topographic change.
- front consisting of the conical head of a missile or rocket that protects the payload from heat during its passage through the atmosphere
noun
- (statistics) A function that represents the association between two or more variables, independent of the individual marginal distributions of the variables.
- (biology) The act of copulation; mating.
- (music) A device that connects two or more keyboards of an organ.
- (linguistics, grammar) A word, usually a verb, used to link the subject of a sentence with a predicate (usually a subject complement or an adverbial), that unites or associates the subject with the predicate.
- The bond or relationship by which two things are combined into a unity.
- an equating verb (such as ‘be’ or ‘become’) that links the subject with the complement of a sentence
noun
- (statistics) the mean value of the product of the deviations of two variates from their respective means
- (statistics) A statistical measure defined as scriptstyle operatorname Cov(X,Y)= operatorname E((X-μ)(Y-ν)) given two real-valued random variables X and Y, with expected values scriptstyle E(X),=,μ and scriptstyle E(Y),=,ν.
- (object-oriented programming) The conversion of data types from wider to narrower in certain situations.
noun
name
noun
- (statistics) The phenomenon where an independent variable no longer has an effect on a dependent variable, or the level above which variance in an independent variable is no longer measurable.
- (pharmacology) The process of increasing doses of a given medication to have progressively smaller incremental effect.
noun
- (statistics) A collection of statistical models, and their associated procedures, in which the observed variance is partitioned into components due to different explanatory variables.
- a statistical method for making simultaneous comparisons between two or more means; a statistical method that yields values that can be tested to determine whether a significant relation exists between variables
noun
- Initialism of radial distribution function.
- Initialism of Rwanda Defence Force.
- Initialism of refuse-derived fuel.
- Initialism of reality distortion field, used for describing how exposure to a charismatic person can change people's behavior.
- Initialism of radio direction finding.
- Initialism of random dopant fluctuation, used in semiconductor process development. RDF is a significant cause of MOS Threshold Voltage variation in nanometer scale devices.
- Initialism of Resource Description Framework, used for conceptual modelling of information on the Web.
noun
- a statistic describing the location of a distribution
- an intermediate scale value regarded as normal or usual
- (sports) the ratio of successful performances to opportunities
- (statistics) Any measure of central tendency, especially any mean, the median, or the mode.
- (law, marine) Financial loss due to damage to transported goods; compensation for damage or loss.
- (mathematics) The arithmetic mean.
- (sports) An indication of a player's ability calculated from his scoring record, etc.
adj
- lacking special distinction, rank, or status; commonly encountered
- relating to or constituting the most frequent value in a distribution
- approximating the statistical norm or average or expected value
- around the middle of a scale of evaluation
- lacking exceptional quality or ability
- relating to or constituting the middle value of an ordered set of values (or the average of the middle two in a set with an even number of values)
- (not comparable) Constituting or relating to the average.
- (informal) Not outstanding, not good, banal; bad or poor.
- Typical.
- Neither very good nor very bad; rated somewhere in the middle of all others in the same category.
verb
- compute the average of
- achieve or reach on average
- amount to or come to an average, without loss or gain
- (transitive) To divide among a number, according to a given proportion.
- (transitive) Over a period of time or across members of a population, to have or generate a mean value of.
- (transitive) To compute the average of, especially the arithmetic mean.
- (intransitive) To be, generally or on average.
noun
- a statistic describing the location of a distribution
- a standard or model or pattern regarded as typical
- (algebra) An element of the image of some (generalized) norm, the element then said to be from the norm in question, or from the structure which gave rise to the norm.
- (mathematics) Any of several generalizations of the above: a field norm, ideal norm, etc.
- if v ne 0 then ‖v‖ ne 0;
- That which is normal or typical.
- given a scalar k, ‖kv‖=|k|·‖v‖, where |k| is the absolute value of k;
- given two vectors v,w, ‖v+w‖<‖v‖+‖w‖ (the triangle inequality).
- (philosophy, computer science) A sentence with non-descriptive meaning, such as a command, permission, or prohibition.
- A rule that is imposed by regulations and/or socially enforced by members of a community.
- (chess) A high level of performance in a chess tournament, several of which are required for a player to receive a title.
verb
noun
- (statistics) Abbreviation of variance.
- (bodybuilding, slang, uncountable) Clipping of Anavar.
- (physics) A unit of electrical power, in an AC circuit, equal to the power dissipated when 1 volt produces a current of 1 ampere.
- (programming) Abbreviation of variable.
- a unit of electrical power in an AC circuit equal to the power dissipated when 1 volt produces a current of 1 ampere
noun
- (statistics) An element belonging to a population.
- (law) A single physical human being as a legal subject, as opposed to a legal person such as a corporation.
- An object, be it a thing or an agent, as contrasted to a class.
- A person considered alone, rather than as belonging to a group of people.
- a single organism
- a human being; person, singular, assertive existential pronoun; pronoun, person, singular; quantifier: assertive existential
adj
- Intended for a single person as opposed to more than one person.
- Relating to a single person or thing as opposed to more than one.
- Not divisible without losing its identity.
- concerning one person exclusively
- characteristic of or meant for a single person or thing
- being or characteristic of a single thing or person
noun
- (statistics) Any relationship between two measured quantities that renders them statistically dependent (but not necessarily causal or a correlation).
- (Philippines, Chinese Filipino) A benevolent overseas Chinese organization of popular origin for overseas Chinese individuals with the same surname, geographical origin, location, trade or business.
- (countable) The state of being associated; a connection to or an affiliation with something.
- A group of persons associated for a common purpose; an organization; society.
- (object-oriented programming) Relationship between classes of objects that allows one object instance to cause another to perform an action on its behalf.
- (uncountable) The act of associating.
- the state of being connected together as in memory or imagination
- the process of bringing ideas or events together in memory or imagination
- (ecology) a group of organisms (plants and animals) that live together in a certain geographical region and constitute a community with a few dominant species
- (chemistry) any process of combination (especially in solution) that depends on relatively weak chemical bonding
- the act of consorting with or joining with others
- a social or business relationship
- a formal organization of people or groups of people
- a relation resulting from interaction or dependence
noun
- (statistics) An analytic method to measure the association of one or more independent variables with a dependent variable.
- An action of travelling mentally back in time.
- (psychotherapy) A psychotherapeutic method whereby healing is facilitated by inducing the patient to act out behaviour typical of an earlier developmental stage.
- (statistics) An equation using specified and associated data for two or more variables such that one variable can be estimated from the remaining variable(s).
- An action of regressing, a return to a previous state.
- (medicine) The diminishing of a cellular mass like a tumor, or of an organ size.
- (exercise) The making an exercise less straining to perform by manipulating the details of its performance like loaded weight, range of motion, angle, speed.
- (programming) The reappearance of a bug in a piece of software that had previously been fixed.
- an abnormal state in which development has stopped prematurely
- (psychiatry) a defense mechanism in which you flee from reality by assuming a more infantile state
- returning to a former state
- the relation between selected values of x and observed values of y (from which the most probable value of y can be predicted for any value of x)
noun
- (statistics) For interval variables and ratio variables, a measure of difference between the observed value and the mean.
- A departure from the correct way of acting.
- (metrology) The signed difference between a value and its reference value.
- (contract law) The voluntary and unnecessary departure of a ship from, or delay in, the regular and usual course of the specific voyage insured, thus releasing the underwriters from their responsibility.
- (Absolute Deviation) The shortest distance between the center of the target and the point where a projectile hits or bursts.
- The act of deviating; wandering off the correct or true path or road.
- A detour in a road or railway.
- (aviation) A detour to one side of the originally-planned flightpath (for instance, to avoid weather); the act of making such a detour.
- The state or result of having deviated; a transgression; an act of sin; an error; an offense.
- the difference between an observed value and the expected value of a variable or function
- a turning aside (of your course or attention or concern)
- deviate behavior
- a variation that deviates from the standard or norm
- the error of a compass due to local magnetic disturbances
noun
- (statistics) The part of a distribution most distant from the mode.
- An object or part of an object resembling a tail in shape, such as the thongs on a cat-o'-nine-tails.
- (electrical engineering) Synonym of pigtail (“a short length of twisted electrical wire”).
- (typography) The lower loop of the letters in the Roman alphabet, as in g, q or y.
- (mathematics) All the last terms of a sequence, from some term on.
- (slang) The penis of a person or animal.
- (surgery) A portion of an incision, at its beginning or end, which does not go through the whole thickness of the skin, and is more painful than a complete incision; called also tailing.
- (slang, uncountable) Sexual intercourse.
- The back, last, lower, or inferior part of anything.
- (nautical) A rope spliced to the strap of a block, by which it may be lashed to anything.
- A train or company of attendants; a retinue.
- (law) Limitation of inheritance to certain heirs.
- A downy or feathery appendage of certain achens, formed of the permanent elongated style.
- (chiefly in the plural) The side of a coin not bearing the head; normally the side on which the monetary value of the coin is indicated; the reverse.
- (now colloquial, chiefly US) The buttocks or backside.
- (mining) A tailing.
- The latter part of a time period or event, or (collectively) persons or objects represented in this part.
- (anatomy) The caudal appendage of an animal that is attached to their posterior and near the anus or cloaca.
- (anatomy) The distal tendon of a muscle.
- The tail-end of any object.
- (architecture) The bottom or lower portion of a member or part such as a slate or tile.
- The feathers attached to the pygostyle of a bird.
- (kayaking) The stern; the back of the kayak.
- The rear structure of an aircraft, the empennage.
- (cricket) The lower order of batsmen in the batting order, usually specialist bowlers.
- One of the strips at the end of a bandage formed by splitting the bandage one or more times.
- (entomology) A filamentous projection on the tornal section of each hind wing of certain butterflies.
- (astronomy) The visible stream of dust and gases blown from a comet by the solar wind.
- (chemistry) The final fraction of a distillation run, typically containing impurities and fusel oils.
- One who surreptitiously follows another.
- (music) The part of a note which runs perpendicularly upward or downward from the head; the stem.
- any projection that resembles the tail of an animal
- (usually plural) the reverse side of a coin that does not bear the representation of a person's head
- the rear part of an aircraft
- the rear part of a ship
- the posterior part of the body of a vertebrate especially when elongated and extending beyond the trunk or main part of the body
- a spy employed to follow someone and report their movements
- the fleshy part of the human body that you sit on
- the time of the last part of something
adj
verb
- To pull or draw by the tail.
- (architecture) To hold by the end; said of a timber when it rests upon a wall or other support; with in or into
- To follow or hang to, like a tail; to be attached closely to, as that which can not be evaded.
- (nautical) To swing with the stern in a certain direction; said of a vessel at anchor.
- (transitive) To follow and observe surreptitiously.
- remove or shorten the tail of an animal
- remove the stalk of fruits or berries
- go after with the intent to catch
noun
- (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrence
- the act of distributing or spreading or apportioning
- 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
- 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.
- (mathematics, statistics) A probability distribution; the set of relative likelihoods that a variable will have a value in a given interval.
noun
- (calculus, of a function) The ratio of the rates of change of a dependent variable and an independent variable, the slope of a curve's tangent.
- A slope or incline.
- (sciences) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
- (calculus) A differential operator that maps each point of a scalar field to a vector pointed in the direction of the greatest rate of change of the scalar. Notation for a scalar field φ: ∇φ
- A gradual change in color; a color gradient; gradation.
- A rate of inclination or declination of a slope.
- the property possessed by a line or surface that departs from the horizontal
- a graded change in the magnitude of some physical quantity or dimension
adj
adj
- (comparable, statistics) Of a distribution: asymmetrical about its mean.
- (not comparable) Neither parallel nor perpendicular to a certain line; askew.
- (not comparable, geometry) Of two lines in three-dimensional space: neither intersecting nor parallel.
- having an oblique or slanting direction or position
noun
- (statistics) A state of asymmetry in a distribution; skewness.
- An oblique or sideways movement.
- A squint or sidelong glance.
- A bias or distortion in a particular direction.
- Something that has an oblique or slanted position.
- (chiefly Scotland, architecture) The coping of a gable.
- (chiefly Cornwall) A thick drizzling rain or driving mist.
- (electronics) A phenomenon in synchronous digital circuit systems (such as computers) in which the same sourced clock signal arrives at different components at different times.
- A kind of wooden vane or cowl in a chimney which revolves according to the direction of the wind and prevents smoking.
- (architecture) A stone at the foot of the slope of a gable, the offset of a buttress, etc., cut with a sloping surface and with a check to receive the coping stones and retain them in place; a skew-corbel.
- A piece of rock lying in a slanting position and tapering upwards which overhangs a working-place in a mine and is liable to fall.
verb
- (statistics) To cause (a distribution) to be asymmetrical.
- (intransitive) To look at obliquely; to squint; hence, to look slightingly or suspiciously.
- (transitive) To form or shape in an oblique way; to cause to take an oblique position.
- (transitive, Northumbria, Yorkshire) To hurl or throw.
- (transitive) To bias or distort in a particular direction.
- (intransitive) To move obliquely; to move sideways, to sidle; to lie obliquely.
- (intransitive) To jump back or sideways in fear or surprise; to shy, as a horse.
- turn or place at an angle
adv
noun
- (statistics) A measure of how far the data tend to deviate from the average.
- (geometry) An unlimited expanse of discontinuous points.
- The act of spreading.
- A piece of material used as a cover (such as a bedspread).
- (gambling) The difference between the teams' final scores at the end of a sport match.
- (debating slang) An act or instance of spreading (speedreading).
- Two facing pages in a book, newspaper etc.
- A numerical difference.
- (trading, finance) The purchase of one delivery month of one commodity against the sale of that same delivery month of a different commodity.
- An expanse of land.
- A large meal, especially one laid out on a table.
- (finance) The difference between the prices of two similar items.
- A large tract of land used to raise livestock; a cattle ranch.
- (cartomancy) A layout, pattern or design of cards arranged for a reading.
- (trading, economics, finance) The difference between the price of a futures month and the price of another month of the same commodity.
- (business, economics) The difference between the wholesale and retail prices.
- (trading) The difference between bidding and asking price.
- (bread, etc.) Any form of food designed to be spread, such as butters or jams.
- Excessive width of the trails of ink written on overly absorbent paper.
- The surface in proportion to the depth of a cut gemstone.
- (prison slang, uncountable) Food improvised by inmates from various ingredients to relieve the tedium of prison food.
- An item in a newspaper or magazine that occupies more than one column or page.
- Something that has been spread.
- (trading) An arbitrage transaction of the same commodity in two markets, executed to take advantage of a profit from price discrepancies.
- (trading, finance) The purchase of a futures contract of one delivery month against the sale of another futures delivery month of the same commodity.
- (military) A set of multiple torpedoes launched on side-by-side, slowly-diverging paths toward one or more enemy ships.
- a meal that is well prepared and greatly enjoyed
- a haphazard distribution in all directions
- the expansion of a person's girth (especially at middle age)
- a conspicuous disparity or difference as between two figures
- decorative cover for a bed
- two facing pages of a book or other publication
- farm consisting of a large tract of land along with facilities needed to raise livestock (especially cattle)
- process or result of distributing or extending over a wide expanse of space
- act of extending over a wider scope or expanse of space or time
- a tasty mixture to be spread on bread or crackers or used in preparing other dishes
verb
- (transitive) To stretch out, open out (a material etc.) so that it more fully covers a given area of space.
- (transitive) To disseminate; to cause to proliferate, to make (something) widely known or present.
- (transitive) To smear, to distribute in a thin layer.
- (transitive) To cover (something) with a thin layer of some substance, as of butter.
- (intransitive, transitive, debating slang) To speedread; to recite one's arguments at an extremely fast pace.
- (transitive) To disperse, to scatter or distribute over a given area.
- (intransitive) To proliferate; to become more widely present, to be disseminated.
- (intransitive) To take up a larger area or space; to expand, be extended.
- (intransitive, slang) To open one’s legs, especially for sexual favours.
- To prepare; to set and furnish with provisions.
- (transitive) To extend (individual rays, limbs etc.); to stretch out in varying or opposing directions. simple past and past participle of spread
- cause to become widely known
- cover by spreading something over
- become distributed or widespread
- move outward
- become widely known and passed on
- strew or distribute over an area
- distribute or disperse widely
- spread out or open from a closed or folded state
- distribute over a surface in a layer
- spread across or over
adj
noun
- (statistics) One of the several measures of the linear statistical relationship between two random variables, indicating both the strength and direction of the relationship.
- (algebra) An isomorphism from a projective space to the dual of a projective space, often to the dual of itself.
- A reciprocal, parallel or complementary relationship between two or more comparable objects.
- a statistical relation between two or more variables such that systematic changes in the value of one variable are accompanied by systematic changes in the other
- a statistic representing how closely two variables co-vary; it can vary from -1 (perfect negative correlation) through 0 (no correlation) to +1 (perfect positive correlation)
- a reciprocal relation between two or more things
verb
- (statistics, transitive) To reduce the variations by excluding irrelevant aspects.
- (transitive) To consider normal, to treat as standard in the face of older norms.
- (transitive) To make normal, to bring into alignment with an established standard.
- (intransitive) To become normal; to return to a normal state.
- (mathematics, transitive) To divide a vector by its magnitude to produce a unit vector.
- (transitive) To format in a standardized manner, to make consistent.
- (rail transport, intransitive, of points) To return to the normal position from the reverse position.
- (metallurgy, transitive) To anneal (steel) for the purpose of decreasing brittleness and increasing ductility.
- (rail transport, transitive) To return a set of points (switches) to the normal position.
- (computing, databases, transitive) To subject to normalization; to eliminate redundancy in (a model for storing data).
- (mathematics, transitive) To constrain a number's absolute value to be 1 at maximum. More generally, to constrain the magnitude of a mathematical quantity to be 1 at maximum.
- become normal or return to its normal state
- bring to a desired consistency, texture, or hardness by a process of gradually heating and cooling
- make normal or cause to conform to a norm or standard
adj
- (comparable, statistics) Of a distribution: asymmetrical about its mean.
- (not comparable) Neither parallel nor perpendicular to a certain line; askew.
- (not comparable, geometry) Of two lines in three-dimensional space: neither intersecting nor parallel.
- having an oblique or slanting direction or position
noun
- (statistics) A state of asymmetry in a distribution; skewness.
- An oblique or sideways movement.
- A squint or sidelong glance.
- A bias or distortion in a particular direction.
- Something that has an oblique or slanted position.
- (chiefly Scotland, architecture) The coping of a gable.
- (chiefly Cornwall) A thick drizzling rain or driving mist.
- (electronics) A phenomenon in synchronous digital circuit systems (such as computers) in which the same sourced clock signal arrives at different components at different times.
- A kind of wooden vane or cowl in a chimney which revolves according to the direction of the wind and prevents smoking.
- (architecture) A stone at the foot of the slope of a gable, the offset of a buttress, etc., cut with a sloping surface and with a check to receive the coping stones and retain them in place; a skew-corbel.
- A piece of rock lying in a slanting position and tapering upwards which overhangs a working-place in a mine and is liable to fall.
verb
- (statistics) To cause (a distribution) to be asymmetrical.
- (intransitive) To look at obliquely; to squint; hence, to look slightingly or suspiciously.
- (transitive) To form or shape in an oblique way; to cause to take an oblique position.
- (transitive, Northumbria, Yorkshire) To hurl or throw.
- (transitive) To bias or distort in a particular direction.
- (intransitive) To move obliquely; to move sideways, to sidle; to lie obliquely.
- (intransitive) To jump back or sideways in fear or surprise; to shy, as a horse.
- turn or place at an angle
adv
adj
- (comparable, statistics) Of a distribution: asymmetrical about its mean.
- (not comparable) Neither parallel nor perpendicular to a certain line; askew.
- (not comparable, geometry) Of two lines in three-dimensional space: neither intersecting nor parallel.
- having an oblique or slanting direction or position
noun
- (statistics) A state of asymmetry in a distribution; skewness.
- An oblique or sideways movement.
- A squint or sidelong glance.
- A bias or distortion in a particular direction.
- Something that has an oblique or slanted position.
- (chiefly Scotland, architecture) The coping of a gable.
- (chiefly Cornwall) A thick drizzling rain or driving mist.
- (electronics) A phenomenon in synchronous digital circuit systems (such as computers) in which the same sourced clock signal arrives at different components at different times.
- A kind of wooden vane or cowl in a chimney which revolves according to the direction of the wind and prevents smoking.
- (architecture) A stone at the foot of the slope of a gable, the offset of a buttress, etc., cut with a sloping surface and with a check to receive the coping stones and retain them in place; a skew-corbel.
- A piece of rock lying in a slanting position and tapering upwards which overhangs a working-place in a mine and is liable to fall.
verb
- (statistics) To cause (a distribution) to be asymmetrical.
- (intransitive) To look at obliquely; to squint; hence, to look slightingly or suspiciously.
- (transitive) To form or shape in an oblique way; to cause to take an oblique position.
- (transitive, Northumbria, Yorkshire) To hurl or throw.
- (transitive) To bias or distort in a particular direction.
- (intransitive) To move obliquely; to move sideways, to sidle; to lie obliquely.
- (intransitive) To jump back or sideways in fear or surprise; to shy, as a horse.
- turn or place at an angle
adv
adj
- (statistics) Statistically independent, with reference to variates.
- Of a pair of vectors: having a zero inner product; perpendicular.
- Of a square matrix: such that its transpose is equal to its inverse.
- Of a linear transformation: preserving its angles.
- (geometry) Of two objects, at right angles; perpendicular to each other.
- Of a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.
- (software engineering) Of two or more aspects of a problem, able to be treated separately; of a design, exhibiting consistency and composability.
- Of two or more problems or subjects, independent of or irrelevant to each other.
- Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.
- having a set of mutually perpendicular axes; meeting at right angles
- not pertinent to the matter under consideration
- statistically unrelated
noun
adj
- (of a general differential equation) Homogeneous as a function of the dependent variable and its derivatives.
- (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.
- (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.
- 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(
- (chemistry) In the same state of matter.
- all of the same or similar kind or nature
adj
- possessing a differential coefficient or derivative
- capable of being perceived as different
- (comparable, of multiple items) able to be differentiated; distinguishable, as for example by differing appearance or measurable characteristics.
- (calculus, not comparable) Having a derivative, said of a function whose domain and codomain are manifolds.