characteristic

char·ac·ter·is·tic

C0246800 (kăr′ək-tə-rĭs′tĭk)adj. Being a feature that helps to distinguish a person or thing; distinctive: heard my friend's characteristic laugh; the stripes that are characteristic of the zebra.n.1. A feature that helps to identify, tell apart, or describe recognizably; a distinguishing mark or trait.2. Mathematics The integral part of a logarithm as distinguished from the mantissa: The characteristic of the logarithm 6.3214 is 6.3. Mathematics The least number of times the multiplicative identity in a ring needs to be added to itself to reach the additive identity, or, if the additive identity is never reached, zero. The integers have a characteristic of zero; the integers modulo 12 have a characteristic of 12.

char′ac·ter·is′ti·cal·ly adv.

characteristic

(ˌkærɪktəˈrɪstɪk) n1. a distinguishing quality, attribute, or trait2. (Mathematics) maths a. the integral part of a common logarithm, indicating the order of magnitude of the associated number: the characteristic of 2.4771 is 2. Compare mantissab. another name for exponent, used esp in number representation in computingadjindicative of a distinctive quality, etc; typical ˌcharacterˈistically adv

char•ac•ter•is•tic

(ˌkær ɪk təˈrɪs tɪk)

adj. 1. indicating the character or distinctive quality of a person or thing; typical. n. 2. a distinguishing feature or quality. 3. a. the integral part of a common logarithm. b. the exponent of 10 in a number expressed in scientific notation. [1655–65; < Greek] char`ac•ter•is′ti•cal•ly, adv. syn: See feature.

char·ac·ter·is·tic

(kăr′ək-tə-rĭs′tĭk) Mathematics The part of a logarithm to the base ten that is to the left of the decimal point. For example, if 2.749 is a logarithm, 2 is the characteristic. Compare mantissa.

Thesaurus

Noun	1.	characteristic - a prominent attribute or aspect of something; "the map showed roads and other features"; "generosity is one of his best characteristics"featuresex character, sex characteristic, sexual characteristic - those characteristics (both anatomical and psychological) that are strongly associated with one sex relative to the otherattribute, dimension, property - a construct whereby objects or individuals can be distinguished; "self-confidence is not an endearing property"invariant - a feature (quantity or property or function) that remains unchanged when a particular transformation is applied to itaspect, facet - a distinct feature or element in a problem; "he studied every facet of the question"attractive feature, magnet, attractor, attracter, attraction - a characteristic that provides pleasure and attracts; "flowers are an attractor for bees"badge - any feature that is regarded as a sign of status (a particular power or quality or rank); "wearing a tie was regarded as a badge of respectability"centerpiece, centrepiece - the central or most important feature; "education was the centerpiece of the Democratic Party's political platform"contour - a feature (or the order or arrangement of features) of anything having a complex structure; "the contours of the melody"; "it defines a major contour of this administration"excellence, excellency - an outstanding feature; something in which something or someone excels; "a center of manufacturing excellence"; "the use of herbs is one of the excellencies of French cuisine"external - outward features; "he enjoyed the solemn externals of religion"distinctive feature, distinguishing characteristic, peculiarity - an odd or unusual characteristicsafety feature - feature of an artifact that is added to insure a user's safety
	2.	characteristic - a distinguishing qualitypassport, recommendation - any quality or characteristic that gains a person a favorable reception or acceptance or admission; "her pleasant personality is already a recommendation"; "his wealth was not a passport into the exclusive circles of society"compatibility - capability of existing or performing in harmonious or congenial combinationincompatibility - the quality of being unable to exist or work in congenial combinationquality - an essential and distinguishing attribute of something or someone; "the quality of mercy is not strained"--Shakespearenature - the essential qualities or characteristics by which something is recognized; "it is the nature of fire to burn"; "the true nature of jealousy"spot, point - an outstanding characteristic; "his acting was one of the high points of the movie"point - a distinguishing or individuating characteristic; "he knows my bad points as well as my good points"hallmark, stylemark, trademark, earmark - a distinctive characteristic or attributesaving grace - a redeeming quality or characteristic; "her love of music remains her one saving grace"; "her sense of humor has to be a saving grace"; "the saving grace for both developments is that they are creating jobs"aspect - a characteristic to be consideredsafeness - the quality of being safedangerousness - the quality of not being safecurability, curableness - capability of being cured or healedincurability, incurableness - incapability of being cured or healeddirectness, straightness - trueness of course toward a goal; "rivaling a hawk in directness of aim"indirectness - having the characteristic of lacking a true course toward a goalrobustness - the characteristic of being strong enough to withstand intellectual challenge; "the lack of robustness in the findings may be due to the small size of the sample"rurality, ruralism - a rural characteristic or trait; "a place with the rurality of a turnip field"streak - a distinctive characteristic; "he has a stubborn streak"; "a streak of wildness"
	3.	characteristic - the integer part (positive or negative) of the representation of a logarithm; in the expression log 643 = 2.808 the characteristic is 2integer, whole number - any of the natural numbers (positive or negative) or zero; "an integer is a number that is not a fraction"
	4.	characteristic - any measurable property of a device measured under closely specified conditionsdevice characteristicproperty - a basic or essential attribute shared by all members of a class; "a study of the physical properties of atomic particles"electronics - the branch of physics that deals with the emission and effects of electrons and with the use of electronic devices
Adj.	1.	characteristic - typical or distinctive; "heard my friend's characteristic laugh"; "red and gold are the characteristic colors of autumn"; "stripes characteristic of the zebra"typical - exhibiting the qualities or characteristics that identify a group or kind or category; "a typical American girl"; "a typical suburban community"; "the typical car owner drives 10,000 miles a year"; "a painting typical of the Impressionist school"; "a typical romantic poem"; "a typical case of arteritis"uncharacteristic - distinctive and not typical; "a book uncharacteristic of its author"

characteristic

noun1. feature, mark, quality, property, attribute, faculty, trait, quirk, peculiarity, idiosyncrasy Genes determine the characteristics of every living thing.adjective1. typical, special, individual, specific, representative, distinguishing, distinctive, signature, peculiar, singular, idiosyncratic, symptomatic Windmills are a characteristic feature of the landscape.
typical rare, unusual, uncharacteristic, unrepresentative

characteristic

adjectiveServing to identify or set apart an individual or group:distinctive, individual, peculiar, typical, vintage.nounA distinctive element:attribute, character, feature, mark, peculiarity, property, quality, savor, trait.

Translations

特征特性特有的

character

(ˈkӕrəktə) noun1. the set of qualities that make someone or something different from others; type. You can tell a man's character from his handwriting; Publicity of this character is not good for the firm.特征2. a set of qualities that are considered admirable in some way. He showed great character in dealing with the danger.品质3. reputation. They tried to damage his character.名声4. a person in a play, novel etc. Rosencrantz is a minor character in Shakespeare's `Hamlet'.角色5. an odd or amusing person. This fellow's quite a character!怪人6. a letter used in typing etc. Some characters on this typewriter are broken. （打字用的）字母 ˌcharacterˈistic adjective (negative uncharacteristic) typical (of a person etc). He spoke with characteristic shyness; That kind of behaviour is characteristic of him.特有的 noun a typical quality. It is one of his characteristics to be obstinate.特征ˌcharacteˈristically adverb特有地ˈcharacterize, ˈcharacterise verb1. to be the obvious feature of. The giraffe is characterized by its long neck.表示...的特性2. to describe (as). She characterized him as weak and indecisive.描绘ˌcharacteriˈzation, ˌcharacteriˈsation noun 特性，特征

characteristic

→ 特性zhCN

characteristic

Mathsa. the integral part of a common logarithm, indicating the order of magnitude of the associated number b. another name for exponent esp in number representation in computing

Characteristic

in mathematics. (1) The greatest integer in a common logarithm.

(2) A concept of the theory of partial differential equations. In the case of a differential equation of the first order

where P = P(x, y, z), Q = Q(x, y, z), and R = R(x, y, z) are given functions, the characteristics of the equation are defined as the curves determined by the system of differential equations

Integrating the system (2), we obtain the family of characteristics ϕ(x, y, z) = C₁, ψ(x, y, z) = C₂, where C₁ and C₂ are arbitrary constants. This family is the set of curves tangent at each of their points to the vector {P, Q, R}.

Each integral surface of equation (1) is the geometric locus of the characteristics intersecting some curve. The equation of such a surface can be represented in the form F[ϕ(x, y, z), ψ(x, y, z)] = 0, where F is a function of two variables. Conversely, to find the integral surface passing through a given curve, it is sufficient to construct the geometric locus of the characteristics intersecting the curve (seeCAUCHY PROBLEM). The Cauchy problem has one and only one solution if the given curve is not a characteristic.

The concept of a characteristic can be extended to equations of the first order with more than two independent variables.

For an equation of the second order

the characteristics were introduced by G. Monge in 1784 and 1795 as the curves along which the differential equation

(4) ady² – b dx dy + c dx² = 0

is satisfied. If equation (3) is of hyperbolic type, then there are two families of characteristics whose equations are ξ,(x, y) = C₁ and η(x, y) = C₂; here, C₁ and C₂ are arbitrary constants. If we take ξ; and η as new independent variables, then equation (3) reduces to an equation of the form

The two families of characteristics coincide if equation (3) is of parabolic type. For an arbitrary choice of the independent variable η, equation (3) reduces to an equation of the form

If equation (3) is of elliptic type, then it has no real characteristics. If the solution of equation (4) is represented in the form ξ ± iη = C, then equation (3) transforms into

The values of a solution u at each point of a characteristic and the values of ∂a/∂x and ∂u/∂y at any one of the points completely determine the values of these derivatives at all points of the characteristic. [This fact underlies the method of characteristics for the solution of boundary value problems for equation (3).] Such a relationship does not exist for curves other than characteristics. On the other hand, the values of u, ∂u/∂x, and ∂u/∂y on a curve that is not a characteristic determine the solution u in a neighborhood of the curve; this relationship does not hold for characteristics. If two solutions of equation (3) coincide on one side of a curve and are different on the other, then the curve is a characteristic.

If the coefficients of equation (3) depend on u, ∂u/∂x, and ∂u/∂y (the quasi-linear case), then the characteristics determined by equation (4) are different for different solutions.

There exist definitions of characteristics for partial differential equations of any order and for systems of such equations.

Characteristic

in technology, the relationship between a dependent and an independent variable that defines the state of a technological process, instrument, piece of equipment, machine, or system; it may be expressed in the form of a text, table, mathematical formula, or plotted curve. Examples of such relationships are the dependence of current on voltage in a subcircuit, the fuel consumption of a motor vehicle on the distance traveled and the condition of the road, the loudness and quality of sounds produced by a loudspeaker on the frequency of the sounds, and the magnetization time reversal of a ferrite core on the strength of the magnetizing field.

Characteristics may be classified as determinate (static or dynamic) or statistical, depending on the method of measurement; as linear or nonlinear, depending on the type of analytical relationship; and as operational or adjustment, depending on the purpose. The relationship between the output and input values of a technological system under steady-state conditions is called the static characteristic. Dynamic characteristics (frequency, pulse, and others) indicate the reactions of a system under study to certain standard perturbations. For example, the frequency characteristic describes the dependence of the amplitude and phase of a periodic signal at the output of a system on the amplitude and phase of a harmonic input signal when only the frequency is varied; the pulse characteristic describes the dependence of the variation in time of a signal at the output of a system on the action of a single input pulse. A dynamic characteristic is contained in the most complete form in the dynamic mathematical model of an object, for example, in the form of differential equations. A statistical characteristic is suitable for objects whose behavior varies with time in a random fashion. Statistical characteristics include dispersions, autocorrelation functions, and spectral densities.

All characteristics may be termed linear if they can be approximated with some specified accuracy by an expression of the form y = ax + b, where y is the output action, x is the input action on the system under study, and a and b are constants. All other characteristics are called nonlinear, including those that can be approximated in sections by the expression given above with some specified accuracy (seeLINEARIZATION).

A. V. KOCHEROV

characteristic

[‚kar·ik·tə′ris·tik] (electronics) A graph showing how the voltage or current between two terminals of an electronic device varies with the voltage or current between two other terminals. (mathematics) That part of the logarithm of a number which is the integral (the whole number) to the left of the decimal point in the logarithm. For a family of surfaces that depend continuously on a parameter, the limiting curve of intersection of two members of the family as the two values of the parameter determining them approach a common value. For a ring or field, the smallest possible integer whose product with any element of the ring or field equals zero, provided that such an integer exists; otherwise the characteristic is zero.

characteristic

In logarithms and floating point, the number that indicates where the decimal point is placed.

See characteristic

characteristic

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Patient discussion about characteristic

characteristic

Synonyms for characteristic

noun feature

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adj typical

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Antonyms

Synonyms for characteristic

adj serving to identify or set apart an individual or group

Synonyms

noun a distinctive element

Synonyms

Synonyms for characteristic

noun a prominent attribute or aspect of something

Synonyms

Related Words

noun a distinguishing quality

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noun the integer part (positive or negative) of the representation of a logarithm

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noun any measurable property of a device measured under closely specified conditions

Synonyms

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adj typical or distinctive

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