English-Wörter für 'Initialism of differential equation.'
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noun
name
noun
- (mathematics) A discontinuity arising in the solution of a partial differential equation.
- (figuratively) Something so surprising that it is stunning.
- (physics) A shock wave.
- (medicine) Circulatory shock, a medical emergency characterized by the inability of the circulatory system to supply enough oxygen to meet tissue requirements.
- A sudden, heavy impact.
- (psychology) A sudden or violent mental or emotional disturbance.
- An arrangement of sheaves for drying; a stook.
- A chemical added to a swimming pool to moderate the chlorine levels.
- (medicine) Electric shock, a sudden burst of electrical energy hitting a person or animal.
- (by extension) A tuft or bunch of something, such as hair or grass.
- (psychology) A state of distress following a mental or emotional disturbance, often caused by news or other stimuli.
- (automotive, mechanical engineering) A shock absorber (typically in the suspension of a vehicle).
- a sudden jarring impact
- (pathology) bodily collapse or near collapse caused by inadequate oxygen delivery to the cells; characterized by reduced cardiac output and rapid heartbeat and circulatory insufficiency and pallor
- an instance of agitation of the earth's crust
- an unpleasant or disappointing surprise
- the feeling of distress and disbelief that you have when something bad happens accidentally
- the violent interaction of individuals or groups entering into combat
- a reflex response to the passage of electric current through the body
- a pile of sheaves of grain set on end in a field to dry; stalks of Indian corn set up in a field
- a bushy thick mass (especially hair)
- a mechanical damper; absorbs energy of sudden impulses
adj
verb
- (transitive) To strike with disgust, to offend, scandalize.
- (transitive) To add a chemical to (a swimming pool) to moderate the chlorine levels.
- (transitive) To collect, or make up, into a shock or shocks; to stook.
- (transitive) To subject to a shock wave or violent impact.
- (transitive) To give an electric shock to.
- (transitive) To cause to be emotionally shocked; to cause (someone) to feel greatly surprised or upset.
- (geology, transitive) To deform the crystal structure of a stone by the application of extremely high pressure at moderate temperature, as produced only by hypervelocity impact events, lightning strikes, and nuclear explosions.
- strike with horror or terror
- strike with disgust or revulsion
- collide violently
- inflict a trauma upon
- collect or gather into shocks
- subject to electrical shocks
- surprise greatly; knock someone's socks off
noun
- (mathematics) The boundary separating two modes of behavior in a differential equation.
- (typography) The proofreader's mark resembling a slash ⟨ / ⟩ or vertical bar ⟨ | ⟩ placed after a note in the margin to indicate that it should replace the item(s) struckthrough in the running text or to separate it from other margin notes.
- A terminator: a line on a partially-illuminated surface separating the lit and shaded regions.
- (typography, historical) The ⟨L⟩ or pipe ⟨|⟩ mark formerly used to divide integers from decimals.
- (physics) The line between regions having different magnetic fields.
- a punctuation mark (‘/’) used to separate related items of information
adj
- (mathematics, of a differential equation) Able to be brought to a form where all occurrences of the dependent and the independent variable are on opposite sides of the equal sign.
- (abstract algebra, of an algebra over a ring) Satisfying any of several technical conditions on the center of the algebra which generalize the situation of field extensions; see Separable algebra on Wikipedia.Wikipedia
- (of a polynomial) Having no repeated roots (where roots are considered in an algebraic closure)
- Able to be separated.
- (mathematical analysis, of a topological space) Having a countable dense subset.
- (Galois theory, of an algebraic field extension E/F) Such that the minimal polynomial of every element of E is a separable polynomial.
- capable of being divided or dissociated
noun
- (mechanics) Initialism of limited-slip differential.
- (organic chemistry) Abbreviation of lysergic acid diethylamide.
- Initialism of Lake Shore Drive (freeway in Chicago).
- Initialism of long slow distance (training method of long-distance running).
- (geology) Initialism of longshore drift (geological process by which sediments move along a beach shore).
- (veterinary pathology) Initialism of lumpy skin disease.
- a powerful hallucinogenic drug manufactured from lysergic acid
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
- (mathematics) a condition specified for the solution to a set of differential equations
- (mathematics) Any of a set of constraints that limit the solutions of a differential equation
- (quantum mechanics) either one of the conditions that the wave function must be continuous and that its derivative must be as well, except in the case of infinite potential
adj
- (of a general differential equation) Homogeneous as a function of the dependent variable and its derivatives.
- (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.
- (of a linear differential equation) Having its degree-zero term equal to zero; admitting the trivial solution.
- (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)
- (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.
- (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
name
- (mathematics) Initialism of sample-set differential logic.
- (mathematics) Initialism of small-swing differential logic.
- (education) Initialism of Staged Self-Directed Learning.
- (technology) Initialism of SYLPH services definition language.
- Initialism of Space Systems Development Laboratory.
- (computer science) Initialism of social semantic digital library.
- (computer languages, databases) Initialism of SOAP Service Description Language.
- (physics) Initialism of solid-state dye laser.
noun
noun
- (mathematics) A differential form whose exterior derivative is zero.
- (poetry) A type of poetry with regular structure, such as meter or a rhyming pattern.
- (poetry) Trobar clus.
- (mathematics) A form (expression) that does not use limits, implicitly or explicitly.
- Used other than figuratively or idiomatically: see closed, form.
noun
- Initialism of proportional integral derivative.
- Initialism of personal identification device.
- (medicine) Initialism of pelvic inflammatory disease.
- Initialism of piping and instrumentation diagram.
- Initialism of photoionization detector.
- (algebra) Initialism of principal ideal domain.
- (computing) Initialism of process identifier.
- inflammation of the female pelvic organs (especially the Fallopian tubes) caused by infection by any of several microorganisms (chiefly gonococci and chlamydia); symptoms are abdominal pain and fever and foul-smelling vaginal discharge
adj
noun
- (multivariable calculus) The Jacobian matrix of a function of several variables.
- (calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f.
- Any of several generalizations of this concept to functions of several variables or to higher orders: the partial differential, total differential, Gateaux differential, etc.
- One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other.
- The differential gear in an automobile, etc.
- A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all.
- (differential geometry, of a smooth map ϕ between smooth manifolds) The pushforward or total derivative of ϕ: a linear map from the tangent space at a point x in ϕ's domain to the tangent space at ϕ(x) which is, in a technical sense, the best linear approximation of ϕ at x; denoted operatorname d!ϕₓ.
- (mathematics) Any of several generalizations of the concept(s) above: e.g. the Kähler differential in the setting of schemes, the quadratic differential in the theory of Riemann surfaces, etc.
- (calculus) A quantity representing an infinitesimal change in a variable, now only used as a heuristic aid except in nonstandard analysis but considered rigorous until the 20th century; a fluxion in Newtonian calculus, now usually written in Leibniz's notation as operatorname d!x.
- A qualitative or quantitative difference between similar or comparable things.
- a quality that differentiates between similar things
- a bevel gear that permits rotation of two shafts at different speeds; used on the rear axle of automobiles to allow wheels to rotate at different speeds on curves
- the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
adj
- designating or involving an equation whose terms are of the first degree
- characterized or produced by addition
- (chemistry) Pertaining to chemical addition.
- (mathematics, of a function, etc.) That is distributive over addition.
- (genetics) Of or pertaining to genes (or the interaction etc. of such genes) which govern the same trait and whose effects work together on the phenotype.
- (group theory, of a group, semigroup, etc.) Whose operator is identified as addition.
- (mathematics) Pertaining to addition; that can be, or has been, added.
noun
adj
- designating or involving an equation whose terms are of the first degree
- measured lengthwise
- of or in or along or relating to a line; involving or having a single dimension
- (of a leaf shape) long and narrow
- of a circuit or device having an output that is proportional to the input
- (botany, of leaves) Long and narrow, with nearly parallel sides.
- (media, of video and audio) Delivered or delivering on a fixed schedule, as opposed to on-demand.
- (of a function between vector spaces) An additive, homogeneous mapping; that is, a function f:V→W is linear if it distributes over vector addition (f( mathbf v+ mathbf w)=f( mathbf v)+f( mathbf w)) and respects scalar multiplication (f(c mathbf v)=cf( mathbf v)). If V and W are vector spaces over a field K, f may also be called a K-linear map. See also linear map on Wikipedia.Wikipedia
- Of or relating to lines.
- (physics) A type of length measurement involving only one spatial dimension (as opposed to area or volume).
- Made, or designed to be used, in a step-by-step, sequential manner.
- Having the form of a line; straight or roughly straight; following a direct course.
- (of a function over a module) A module homomorphism; that is, a group homomorphism that commutes with scalar multiplication. See also Module homomorphism on Wikipedia.Wikipedia
- (of a polynomial) Having degree one; that is, being of the form a_1x_1+a_2x_2+⋯+a_nx_n+b, where each x_i is a variable. See also Linear polynomials on Wikipedia.Wikipedia
- (of a polynomial equation) Involving only linear polynomials. See also Linear equation on Wikipedia.Wikipedia
noun
adj
- designating or involving an equation whose terms are not of the first degree
- Erratic and unpredictable; tending to jump back and forth.
- (mathematics, of a function) Having a product of independent variables, or a variable with an exponent not equal to one.
- (of a system) Whose output is not directly proportional to its input.
- (chemistry, of a molecule) Whose atoms do not lie in a straight line.
- (of a set of points) Not lying on a straight line.
adj
- (mathematical analysis) Being defined in terms of objects of differential calculus such as derivatives.
- Of, or relating to division into elements or principles.
- (mathematics, of a function) Being able to be locally represented by convergent power series around every point of the domain.
- (mathematics) Of, or relating to algebra or a similar method of analysis.
- (logic, of a proposition) that follows necessarily by definition; tautologous.
- Of, or relating to any form of analysis, or to analytics.
- (linguistics) Of a language, having a grammar principally dependent on the arrangement of uninflected function words within sentences to indicate meaning.
- Having the ability to analyse.
- using or skilled in using analysis (i.e., separating a whole — intellectual or substantial — into its elemental parts or basic principles)
- using or subjected to a methodology using algebra and calculus
- expressing a grammatical category by using two or more words rather than inflection
- of a proposition that is necessarily true independent of fact or experience
verb
- (mathematics) To calculate the differential of a function of multiple variables.
- To recognize as different or distinct.
- (transitive, intransitive, often in the passive voice, biology) To (cause to) go through a process of development called differentiation; to make or become different in form or function.
- To modify so as to create a difference or distinction.
- (mathematics) To calculate the derivative of a function.
- To show or be the difference or distinction between things.
- To perceive the difference between things; to discriminate.
- (education) To teach a lesson in multiple different ways in order to meet the needs of more or less advanced students.
- become distinct and acquire a different character
- evolve so as to lead to a new species or develop in a way most suited to the environment
- be a distinctive feature, attribute, or trait; sometimes in a very positive sense
- mark as different
- calculate a derivative; take the derivative
- become different during development
noun
noun
symbol
verb
noun
adj
adv
name
noun
- (mathematics) A sequential calculus
- (logic) A disjunctive set of logical formulae which is partitioned into two subsets; the first subset, called the antecedent, consists of formulae which are valuated as false, and the second subset, called the succedent, consists of formulae which are valuated as true. (The set is written without set brackets and the separation between the two subsets is denoted by a turnstile symbol, which may be read "give(s)".)
- Something that follows in a given sequence.
adj
noun
- (mathematics) Clipping of differential
- (climbing) A difficult route.
- (computing) The output of a diff program, a diff file.
- (slang) Clipping of difference
- (video games, slang) Used to trash-talk an opposing team at the end of a game by pointing out a skill difference between some role and the same role on the other team.
- (automotive) Abbreviation of differential: the differential gear in an automobile.
- (medicine) Abbreviation of differential: differential of types of white blood cell in a complete blood count.
- (computing) Any program which compares two files or sets of files and outputs a description of the differences between them.
- (fandom slang) Clipping of difficulty.
adj
name
verb
- (transitive, computing) To compare two files or other objects, manually or otherwise.
- (transitive, fandom slang) To win (or to be able to win) a fight against another, with a defined level of difficulty. Usually used when power scaling fictional characters.
- (transitive, computing) To run a diff program on (files or items) so as to produce a description of the differences between them, as for a patch file.
noun
- (mathematics, differential geometry) A subset of the tangent bundle of a manifold that satisfies certain properties; used to construct the notions of integrability and foliation of a manifold.
- The result of distributing; arrangement.
- (rhetoric) A rhetorical technique in which a subject is divided into multiple cases based on some property or properties, and each case is addressed individually.
- (economics) The apportionment of income or wealth in a population.
- An apportionment by law (of funds, property).
- The total number of something sold or delivered to the clients.
- (logic) The resolution of a whole into its parts.
- (printing, historical) The process of sorting the types and placing them in their proper boxes in the cases.
- (finance) The process or result of the sale of securities, especially their placement among investors with long-term investment strategies.
- An act of distributing or state of being distributed.
- The frequency of occurrence or extent of existence.
- (card games) The way in which a player's hand is divided in suits, or in which a particular suit is divided between the players.
- (steam engines) The steps or operations by which steam is supplied to and withdrawn from the cylinder at each stroke of the piston: admission, suppression or cutting off, release or exhaust, and compression of exhaust steam prior to the next admission.
- (business, marketing) The process by which goods get to final consumers over a geographical market, including storing, selling, shipping and advertising.
- Anything distributed; portion; share.
- (software) A set of bundled software components.
- (mathematics, statistics) A probability distribution; the set of relative likelihoods that a variable will have a value in a given interval.
- the act of distributing or spreading or apportioning
- (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrence
- the commercial activity of transporting and selling goods from a producer to a consumer
- the spatial or geographic property of being scattered about over a range, area, or volume
noun
adj
- (mathematics) Of a polynomial expression, involving only the zeroth, second, and fourth powers of a variable, as x⁴ + 3x² + 2. Sometimes extended to any expression involving the biquadrate or fourth power (but no higher powers), as x⁴ − 4x³ + 3x² − x + 1.
- involving the fourth and no higher power of a quantity or degree
adj
adj
- (mathematics) Of or relating to a partial derivative or partial differential.
- (botany) Subordinate.
- Biased in favor of a person, side, or point of view, especially when dealing with a competition or dispute.
- (crosswording, of a clue) Having a wordplay element, but no definition.
- (followed by the preposition to) Having a predilection for something.
- (computer science) Describing a property that holds only when an algorithm terminates.
- Existing as a part or portion; incomplete.
- (followed by ‘of’ or ‘to’) having a strong preference or liking for
- being or affecting only a part; not total
- constituting or comprising a part or fraction of a possible whole or entirety
- showing favoritism
noun
- (dentistry) dentures that replace only some of the natural teeth
- (bodybuilding) The condition of not exhausting the amplitude during the repetition of an exercise.
- (forensics) An incomplete fingerprint
- (furry fandom) A fursuit that does not fully cover the wearer's body.
- (programming, Internet) A fragment of a template containing markup.
- (mathematics) A partial derivative: a derivative with respect to one independent variable of a function in multiple variables while holding the other variables constant.
- (music) Any of the sine waves which make up a complex tone; often an overtone or harmonic of the fundamental.
- the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant
- a harmonic with a frequency that is a multiple of the fundamental frequency
verb
noun
- root of an algebraic equation with rational coefficients
- (algebra, number theory) A complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers.
noun
name
noun
- (mathematics) A discontinuity arising in the solution of a partial differential equation.
- (figuratively) Something so surprising that it is stunning.
- (physics) A shock wave.
- (medicine) Circulatory shock, a medical emergency characterized by the inability of the circulatory system to supply enough oxygen to meet tissue requirements.
- A sudden, heavy impact.
- (psychology) A sudden or violent mental or emotional disturbance.
- An arrangement of sheaves for drying; a stook.
- A chemical added to a swimming pool to moderate the chlorine levels.
- (medicine) Electric shock, a sudden burst of electrical energy hitting a person or animal.
- (by extension) A tuft or bunch of something, such as hair or grass.
- (psychology) A state of distress following a mental or emotional disturbance, often caused by news or other stimuli.
- (automotive, mechanical engineering) A shock absorber (typically in the suspension of a vehicle).
- a sudden jarring impact
- (pathology) bodily collapse or near collapse caused by inadequate oxygen delivery to the cells; characterized by reduced cardiac output and rapid heartbeat and circulatory insufficiency and pallor
- an instance of agitation of the earth's crust
- an unpleasant or disappointing surprise
- the feeling of distress and disbelief that you have when something bad happens accidentally
- the violent interaction of individuals or groups entering into combat
- a reflex response to the passage of electric current through the body
- a pile of sheaves of grain set on end in a field to dry; stalks of Indian corn set up in a field
- a bushy thick mass (especially hair)
- a mechanical damper; absorbs energy of sudden impulses
adj
verb
- (transitive) To strike with disgust, to offend, scandalize.
- (transitive) To add a chemical to (a swimming pool) to moderate the chlorine levels.
- (transitive) To collect, or make up, into a shock or shocks; to stook.
- (transitive) To subject to a shock wave or violent impact.
- (transitive) To give an electric shock to.
- (transitive) To cause to be emotionally shocked; to cause (someone) to feel greatly surprised or upset.
- (geology, transitive) To deform the crystal structure of a stone by the application of extremely high pressure at moderate temperature, as produced only by hypervelocity impact events, lightning strikes, and nuclear explosions.
- strike with horror or terror
- strike with disgust or revulsion
- collide violently
- inflict a trauma upon
- collect or gather into shocks
- subject to electrical shocks
- surprise greatly; knock someone's socks off
noun
- (mathematics) The boundary separating two modes of behavior in a differential equation.
- (typography) The proofreader's mark resembling a slash ⟨ / ⟩ or vertical bar ⟨ | ⟩ placed after a note in the margin to indicate that it should replace the item(s) struckthrough in the running text or to separate it from other margin notes.
- A terminator: a line on a partially-illuminated surface separating the lit and shaded regions.
- (typography, historical) The ⟨L⟩ or pipe ⟨|⟩ mark formerly used to divide integers from decimals.
- (physics) The line between regions having different magnetic fields.
- a punctuation mark (‘/’) used to separate related items of information
noun
- (mechanics) Initialism of limited-slip differential.
- (organic chemistry) Abbreviation of lysergic acid diethylamide.
- Initialism of Lake Shore Drive (freeway in Chicago).
- Initialism of long slow distance (training method of long-distance running).
- (geology) Initialism of longshore drift (geological process by which sediments move along a beach shore).
- (veterinary pathology) Initialism of lumpy skin disease.
- a powerful hallucinogenic drug manufactured from lysergic acid
noun
- (mathematics) a condition specified for the solution to a set of differential equations
- (mathematics) Any of a set of constraints that limit the solutions of a differential equation
- (quantum mechanics) either one of the conditions that the wave function must be continuous and that its derivative must be as well, except in the case of infinite potential
noun
- (mathematics) A differential form whose exterior derivative is zero.
- (poetry) A type of poetry with regular structure, such as meter or a rhyming pattern.
- (poetry) Trobar clus.
- (mathematics) A form (expression) that does not use limits, implicitly or explicitly.
- Used other than figuratively or idiomatically: see closed, form.
noun
- Initialism of proportional integral derivative.
- Initialism of personal identification device.
- (medicine) Initialism of pelvic inflammatory disease.
- Initialism of piping and instrumentation diagram.
- Initialism of photoionization detector.
- (algebra) Initialism of principal ideal domain.
- (computing) Initialism of process identifier.
- inflammation of the female pelvic organs (especially the Fallopian tubes) caused by infection by any of several microorganisms (chiefly gonococci and chlamydia); symptoms are abdominal pain and fever and foul-smelling vaginal discharge
noun
symbol
verb
noun
adj
adv
name
noun
- (mathematics) A sequential calculus
- (logic) A disjunctive set of logical formulae which is partitioned into two subsets; the first subset, called the antecedent, consists of formulae which are valuated as false, and the second subset, called the succedent, consists of formulae which are valuated as true. (The set is written without set brackets and the separation between the two subsets is denoted by a turnstile symbol, which may be read "give(s)".)
- Something that follows in a given sequence.
adj
noun
- (mathematics) Clipping of differential
- (climbing) A difficult route.
- (computing) The output of a diff program, a diff file.
- (slang) Clipping of difference
- (video games, slang) Used to trash-talk an opposing team at the end of a game by pointing out a skill difference between some role and the same role on the other team.
- (automotive) Abbreviation of differential: the differential gear in an automobile.
- (medicine) Abbreviation of differential: differential of types of white blood cell in a complete blood count.
- (computing) Any program which compares two files or sets of files and outputs a description of the differences between them.
- (fandom slang) Clipping of difficulty.
adj
name
verb
- (transitive, computing) To compare two files or other objects, manually or otherwise.
- (transitive, fandom slang) To win (or to be able to win) a fight against another, with a defined level of difficulty. Usually used when power scaling fictional characters.
- (transitive, computing) To run a diff program on (files or items) so as to produce a description of the differences between them, as for a patch file.
noun
- (mathematics, differential geometry) A subset of the tangent bundle of a manifold that satisfies certain properties; used to construct the notions of integrability and foliation of a manifold.
- The result of distributing; arrangement.
- (rhetoric) A rhetorical technique in which a subject is divided into multiple cases based on some property or properties, and each case is addressed individually.
- (economics) The apportionment of income or wealth in a population.
- An apportionment by law (of funds, property).
- The total number of something sold or delivered to the clients.
- (logic) The resolution of a whole into its parts.
- (printing, historical) The process of sorting the types and placing them in their proper boxes in the cases.
- (finance) The process or result of the sale of securities, especially their placement among investors with long-term investment strategies.
- An act of distributing or state of being distributed.
- The frequency of occurrence or extent of existence.
- (card games) The way in which a player's hand is divided in suits, or in which a particular suit is divided between the players.
- (steam engines) The steps or operations by which steam is supplied to and withdrawn from the cylinder at each stroke of the piston: admission, suppression or cutting off, release or exhaust, and compression of exhaust steam prior to the next admission.
- (business, marketing) The process by which goods get to final consumers over a geographical market, including storing, selling, shipping and advertising.
- Anything distributed; portion; share.
- (software) A set of bundled software components.
- (mathematics, statistics) A probability distribution; the set of relative likelihoods that a variable will have a value in a given interval.
- the act of distributing or spreading or apportioning
- (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrence
- the commercial activity of transporting and selling goods from a producer to a consumer
- the spatial or geographic property of being scattered about over a range, area, or volume
noun
adj
- (mathematics) Of a polynomial expression, involving only the zeroth, second, and fourth powers of a variable, as x⁴ + 3x² + 2. Sometimes extended to any expression involving the biquadrate or fourth power (but no higher powers), as x⁴ − 4x³ + 3x² − x + 1.
- involving the fourth and no higher power of a quantity or degree
noun
- root of an algebraic equation with rational coefficients
- (algebra, number theory) A complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers.
verb
- (mathematics) To calculate the differential of a function of multiple variables.
- To recognize as different or distinct.
- (transitive, intransitive, often in the passive voice, biology) To (cause to) go through a process of development called differentiation; to make or become different in form or function.
- To modify so as to create a difference or distinction.
- (mathematics) To calculate the derivative of a function.
- To show or be the difference or distinction between things.
- To perceive the difference between things; to discriminate.
- (education) To teach a lesson in multiple different ways in order to meet the needs of more or less advanced students.
- become distinct and acquire a different character
- evolve so as to lead to a new species or develop in a way most suited to the environment
- be a distinctive feature, attribute, or trait; sometimes in a very positive sense
- mark as different
- calculate a derivative; take the derivative
- become different during development
noun
adj
- (mathematics, of a differential equation) Able to be brought to a form where all occurrences of the dependent and the independent variable are on opposite sides of the equal sign.
- (abstract algebra, of an algebra over a ring) Satisfying any of several technical conditions on the center of the algebra which generalize the situation of field extensions; see Separable algebra on Wikipedia.Wikipedia
- (of a polynomial) Having no repeated roots (where roots are considered in an algebraic closure)
- Able to be separated.
- (mathematical analysis, of a topological space) Having a countable dense subset.
- (Galois theory, of an algebraic field extension E/F) Such that the minimal polynomial of every element of E is a separable polynomial.
- capable of being divided or dissociated
adj
- 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.
adj
- (of a general differential equation) Homogeneous as a function of the dependent variable and its derivatives.
- (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.
- (of a linear differential equation) Having its degree-zero term equal to zero; admitting the trivial solution.
- (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)
- (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.
- (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
noun
- (multivariable calculus) The Jacobian matrix of a function of several variables.
- (calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f.
- Any of several generalizations of this concept to functions of several variables or to higher orders: the partial differential, total differential, Gateaux differential, etc.
- One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other.
- The differential gear in an automobile, etc.
- A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all.
- (differential geometry, of a smooth map ϕ between smooth manifolds) The pushforward or total derivative of ϕ: a linear map from the tangent space at a point x in ϕ's domain to the tangent space at ϕ(x) which is, in a technical sense, the best linear approximation of ϕ at x; denoted operatorname d!ϕₓ.
- (mathematics) Any of several generalizations of the concept(s) above: e.g. the Kähler differential in the setting of schemes, the quadratic differential in the theory of Riemann surfaces, etc.
- (calculus) A quantity representing an infinitesimal change in a variable, now only used as a heuristic aid except in nonstandard analysis but considered rigorous until the 20th century; a fluxion in Newtonian calculus, now usually written in Leibniz's notation as operatorname d!x.
- A qualitative or quantitative difference between similar or comparable things.
- a quality that differentiates between similar things
- a bevel gear that permits rotation of two shafts at different speeds; used on the rear axle of automobiles to allow wheels to rotate at different speeds on curves
- the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
adj
- designating or involving an equation whose terms are of the first degree
- characterized or produced by addition
- (chemistry) Pertaining to chemical addition.
- (mathematics, of a function, etc.) That is distributive over addition.
- (genetics) Of or pertaining to genes (or the interaction etc. of such genes) which govern the same trait and whose effects work together on the phenotype.
- (group theory, of a group, semigroup, etc.) Whose operator is identified as addition.
- (mathematics) Pertaining to addition; that can be, or has been, added.
noun
adj
- designating or involving an equation whose terms are of the first degree
- measured lengthwise
- of or in or along or relating to a line; involving or having a single dimension
- (of a leaf shape) long and narrow
- of a circuit or device having an output that is proportional to the input
- (botany, of leaves) Long and narrow, with nearly parallel sides.
- (media, of video and audio) Delivered or delivering on a fixed schedule, as opposed to on-demand.
- (of a function between vector spaces) An additive, homogeneous mapping; that is, a function f:V→W is linear if it distributes over vector addition (f( mathbf v+ mathbf w)=f( mathbf v)+f( mathbf w)) and respects scalar multiplication (f(c mathbf v)=cf( mathbf v)). If V and W are vector spaces over a field K, f may also be called a K-linear map. See also linear map on Wikipedia.Wikipedia
- Of or relating to lines.
- (physics) A type of length measurement involving only one spatial dimension (as opposed to area or volume).
- Made, or designed to be used, in a step-by-step, sequential manner.
- Having the form of a line; straight or roughly straight; following a direct course.
- (of a function over a module) A module homomorphism; that is, a group homomorphism that commutes with scalar multiplication. See also Module homomorphism on Wikipedia.Wikipedia
- (of a polynomial) Having degree one; that is, being of the form a_1x_1+a_2x_2+⋯+a_nx_n+b, where each x_i is a variable. See also Linear polynomials on Wikipedia.Wikipedia
- (of a polynomial equation) Involving only linear polynomials. See also Linear equation on Wikipedia.Wikipedia
noun
adj
- designating or involving an equation whose terms are not of the first degree
- Erratic and unpredictable; tending to jump back and forth.
- (mathematics, of a function) Having a product of independent variables, or a variable with an exponent not equal to one.
- (of a system) Whose output is not directly proportional to its input.
- (chemistry, of a molecule) Whose atoms do not lie in a straight line.
- (of a set of points) Not lying on a straight line.
adj
- (mathematical analysis) Being defined in terms of objects of differential calculus such as derivatives.
- Of, or relating to division into elements or principles.
- (mathematics, of a function) Being able to be locally represented by convergent power series around every point of the domain.
- (mathematics) Of, or relating to algebra or a similar method of analysis.
- (logic, of a proposition) that follows necessarily by definition; tautologous.
- Of, or relating to any form of analysis, or to analytics.
- (linguistics) Of a language, having a grammar principally dependent on the arrangement of uninflected function words within sentences to indicate meaning.
- Having the ability to analyse.
- using or skilled in using analysis (i.e., separating a whole — intellectual or substantial — into its elemental parts or basic principles)
- using or subjected to a methodology using algebra and calculus
- expressing a grammatical category by using two or more words rather than inflection
- of a proposition that is necessarily true independent of fact or experience
adj
adj
- (mathematics) Of or relating to a partial derivative or partial differential.
- (botany) Subordinate.
- Biased in favor of a person, side, or point of view, especially when dealing with a competition or dispute.
- (crosswording, of a clue) Having a wordplay element, but no definition.
- (followed by the preposition to) Having a predilection for something.
- (computer science) Describing a property that holds only when an algorithm terminates.
- Existing as a part or portion; incomplete.
- (followed by ‘of’ or ‘to’) having a strong preference or liking for
- being or affecting only a part; not total
- constituting or comprising a part or fraction of a possible whole or entirety
- showing favoritism
noun
- (dentistry) dentures that replace only some of the natural teeth
- (bodybuilding) The condition of not exhausting the amplitude during the repetition of an exercise.
- (forensics) An incomplete fingerprint
- (furry fandom) A fursuit that does not fully cover the wearer's body.
- (programming, Internet) A fragment of a template containing markup.
- (mathematics) A partial derivative: a derivative with respect to one independent variable of a function in multiple variables while holding the other variables constant.
- (music) Any of the sine waves which make up a complex tone; often an overtone or harmonic of the fundamental.
- the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant
- a harmonic with a frequency that is a multiple of the fundamental frequency