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单词 derivative
释义

derivative


de·riv·a·tive

D0151200 (dĭ-rĭv′ə-tĭv)adj.1. Resulting from or employing derivation: a derivative word; a derivative process.2. Copied or adapted from others: a highly derivative prose style.n.1. Something derived.2. Linguistics A word formed from another by derivation, such as electricity from electric.3. Mathematics a. The limiting value of the ratio of the change in a function to the corresponding change in its independent variable.b. The instantaneous rate of change of a function with respect to its variable.c. The slope of the tangent line to the graph of a function at a given point. Also called differential coefficient, fluxion.4. Chemistry A compound derived or obtained from another and containing essential elements of the parent substance.5. A financial instrument that derives its value from another more fundamental asset, as a commitment to buy a bond for a certain sum on a certain date.
de·riv′a·tive·ly adv.

derivative

(dɪˈrɪvətɪv) adj1. resulting from derivation; derived2. based on or making use of other sources; not original or primary3. copied from others, esp slavishly; plagiaristicn4. a term, idea, etc, that is based on or derived from another in the same class5. (Linguistics) a word derived from another word6. (Chemistry) chem a compound that is formed from, or can be regarded as formed from, a structurally related compound: chloroform is a derivative of methane. 7. (Mathematics) maths a. Also called: differential coefficient or first derivative the change of a function, f(x), with respect to an infinitesimally small change in the independent variable, x; the limit of [f(a + Δx)–f(a)]/Δx, at x = a, as the increment, Δx, tends to 0. Symbols: df(x)/dx, f′(x), Df(x): the derivative of xn is nxn–1. b. the rate of change of one quantity with respect to another: velocity is the derivative of distance with respect to time. 8. (Banking & Finance) finance a. (usually plural) a financial instrument, such as a futures contract or option, the price of which is largely determined by the commodity, currency, share price, interest rate, etc, to which it is linkedb. (as modifier): a derivatives trader. 9. (Psychoanalysis) psychoanal an activity that represents the expression of hidden impulses and desires by channelling them into socially acceptable forms deˈrivatively adv

de•riv•a•tive

(dɪˈrɪv ə tɪv)

adj. 1. not original; secondary. n. 2. something derived. 3. a word that has undergone derivation from another, as atomic from atom. 4. a chemical substance or compound obtained or regarded as derived from another. 5. Math. the instantaneous rate of change of one quantity in a function with respect to another. 6. a financial contract whose value derives from the value of underlying stocks, bonds, currencies, commodities, etc. [1400–50; late Middle English < Late Latin] de•riv′a•tive•ly, adv. de•riv′a•tive•ness, n.

de·riv·a·tive

(dĭ-rĭv′ə-tĭv) In calculus, the slope of the tangent line to a curve at a particular point on the curve. Since a curve represents a function, its derivative can also be thought of as the rate of change of the corresponding function at the given point. Derivatives are computed using differentiation.
Thesaurus
Noun1.derivative - the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dxderived function, differential, differential coefficient, first derivativecurvature - the rate of change (at a point) of the angle between a curve and a tangent to the curvefiguring, reckoning, calculation, computation - problem solving that involves numbers or quantitiespartial, partial derivative - 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
2.derivative - a compound obtained from, or regarded as derived from, another compoundchemical compound, compound - (chemistry) a substance formed by chemical union of two or more elements or ingredients in definite proportion by weight
3.derivative - a financial instrument whose value is based on another securityderivative instrumentlegal document, legal instrument, official document, instrument - (law) a document that states some contractual relationship or grants some rightfutures contract - an agreement to buy or sell a specific amount of a commodity or financial instrument at a particular price on a stipulated future date; the contract can be sold before the settlement datelaw, jurisprudence - the collection of rules imposed by authority; "civilization presupposes respect for the law"; "the great problem for jurisprudence to allow freedom while enforcing order"option - the right to buy or sell property at an agreed price; the right is purchased and if it is not exercised by a stated date the money is forfeited
4.derivative - (linguistics) a word that is derived from another word; "`electricity' is a derivative of `electric'"linguistics - the scientific study of languageword - a unit of language that native speakers can identify; "words are the blocks from which sentences are made"; "he hardly said ten words all morning"
Adj.1.derivative - resulting from or employing derivation; "a derivative process"; "a highly derivative prose style"derived - formed or developed from something else; not original; "the belief that classes and organizations are secondary and derived"- John Dewey

derivative

noun1. by-product, spin-off, offshoot, descendant, derivation, outgrowth a poppy-seed derivative similar to heroinadjective1. unoriginal, copied, second-hand, rehashed, imitative, plagiarized, uninventive, plagiaristic their dull, derivative debut album
unoriginal original, first-hand, archetypal, seminal, prototypical

derivative

adjectiveStemming from an original source:derivational, derived, secondary.nounSomething derived from another:byproduct, derivation, descendant, offshoot, outgrowth, spinoff.
Translations
派生物派生的派生词

derive

(diˈraiv) verb (with from). 1. to come or develop from. The word `derives' is derived from an old French word. 派生,源於 派生,源于 2. to draw or take from (a source or origin). We derive comfort from his presence. 從某處得到 得到,(从…中)得到 ˌderiˈvation (deri-) noun1. the source or origin (of a word etc). (詞)源 (词)源 2. the process of deriving. 衍生 衍生derivative (diˈrivətiv) adjective derived from something else and not original. 衍生的 派生的 noun a word, substance etc formed from another word, substance etc. `Reader' is a derivative of `read'. 衍生物,衍生詞 派生词,派生物

derivative


derivative:

see calculuscalculus,
branch of mathematics that studies continuously changing quantities. The calculus is characterized by the use of infinite processes, involving passage to a limit—the notion of tending toward, or approaching, an ultimate value.
..... Click the link for more information.
.

Derivative

 

the fundamental concept of the differential calculus. It characterizes the rate of change of a function. The derivative is a function defined, for every x, as the limit of the ratio

if the limit exists. A function whose derivative exists is said to be differentiable.

Every differentiable function is continuous. The opposite assertion, however, is false. There even exist continuous functions that are nowhere differentiable. The derivative of a function of a real variable may be nondifferentiable or even discontinuous. In the complex domain, on the other hand, the existence of the first derivative implies the existence of derivatives of all orders. Derivatives of functions of more than one variable (partial derivatives), the rules for obtaining derivatives, and various applications of derivatives are discussed in the article DIFFERENTIAL CALCULUS.

The theory of functions of a real variable deals, in particular, with the functional properties of the derivative and with various generalizations of the concept of the derivative. For example, a derivative that exists everywhere is a function of class one in the Baire classification. A derivative, even if it is discontinuous, takes on all intermediate values between its maximum and minimum. The most important generalizations of the concept of derivative follow.

Dini derivatives. The superior limit of the ratio

as x1x, x1 > x, is called the right upper derivative of f Δd. The right lower λd and left upper Δs and lower λs derivatives are defined in an analogous manner. If Δd = λds = λs), f(x) has a right (left) derivative at the point x. The ordinary derivative exists if all four Dini derivatives are finite and equal. Dini derivatives were introduced by the Italian mathematician U. Dini in 1878. In 1915, N. N. Luzin proved that if all four Dini derivatives are finite on some set, then, apart from a null set, the function has an ordinary derivative everywhere on the set.

Approximate derivative. The approximate derivative was introduced by A. Ia. Khinchin in 1916. It is the limit of the ratio

as x1, approaches x on the points of a set for which x is a density point.

derivative

[də′riv·əd·iv] (chemistry) A substance that is made from another substance. (mathematics) The slope of a graph y = ƒ(x) at a given point c ; more precisely, it is the limit as h approaches zero of ƒ(c + h) - ƒ(c) divided by h. Also known as differential coefficient; rate of change.

derivative

1. Chem a compound that is formed from, or can be regarded as formed from, a structurally related compound 2. Mathsa. the change of a function, f(x), with respect to an infinitesimally small change in the independent variable, x; the limit of [f(a + Δx)--f(a)]/Δx, at x = a, as the increment, Δx, tends to 0. Symbols: df(x)/dx, fʹ(x), Df(x) b. the rate of change of one quantity with respect to another 3. Psychoanal an activity that represents the expression of hidden impulses and desires by channelling them into socially acceptable forms

derivative


de·riv·a·tive

(dĕ-riv'ă-tiv), 1. Relating to or producing derivation. 2. Something produced by modification of something preexisting. 3. Specifically, a chemical compound that may be produced from another compound of similar structure in one or more steps, as in replacement of H by an alkyl, acyl, or amino group.

de·riv·a·tive

(dĕ-riv'ă-tiv) 1. Relating to or producing derivation. 2. Something produced by modification of something preexisting. 3. Specifically, a chemical compound produced from another compound in one or more steps, as in replacement of H by an alkyl, acyl, or amino group.

de·riv·a·tive

(dĕ-riv'ă-tiv) Chemical compound that may be produced from another compound of similar structure in one or more steps.

Derivative


Related to Derivative: Derivative market

DERIVATIVE. Coming from another; taken from something preceding, secondary; as derivative title, which is that acquired from another person. There is considerable difference between an original and a derivative title. When the acquisition is original, the right thus acquired to the thing becomes property, which must be unqualified and unlimited, and since no one but the occupant has any right to the thing, he must have the whole right of disposing of it. But with regard to derivative acquisition, it may be otherwise, for the person from whom the thing is acquired may not have an unlimited right to it, or he may convey or transfer it with certain reservations of right. Derivative title must always be by contract.
2. Derivative conveyances are, those which presuppose some other precedent conveyance, and serve only to enlarge, confirm, alter, restrain, restore, or transfer the interest granted by such original conveyance, 3 Bl. Com. 321.

derivative


Derivative

A financial contract whose value is based on, or "derived" from, a traditional security (such as a stock or bond), an asset (such as a commodity), or a market index.

Derivative Security

Futures, forwards, options, and other securities except for regular stocks and bonds. The value of nearly all derivatives are based on an underlying asset, whether that is a stock, bond, currency, index, or something else entirely. Derivative securities may be traded on an exchange or over-the-counter. Derivatives are often traded as speculative investments or to reduce the risk of one's other positions. Prominent derivative exchanges include the Chicago Mercantile Exchange and Euronext LIFFE.

derivative

An asset that derives its value from another asset. For example, a call option on the stock of Coca-Cola is a derivative security that obtains value from the shares of Coca-Cola that can be purchased with the call option. Call options, put options, convertible bonds, futures contracts, and convertible preferred stock are examples of derivatives. A derivative can be either a risky or low-risk investment, depending upon the type of derivative and how it is used. See also underlying asset.

Derivative.

Derivatives are financial products, such as futures contracts, options, and mortgage-backed securities. Most of derivatives' value is based on the value of an underlying security, commodity, or other financial instrument.

For example, the changing value of a crude oil futures contract depends primarily on the upward or downward movement of oil prices.

An equity option's value is determined by the relationship between its strike price and the value of the underlying stock, the time until expiration, and the stock's volatility.

Certain investors, called hedgers, are interested in the underlying instrument. For example, a baking company might buy wheat futures to help estimate the cost of producing its bread in the months to come.

Other investors, called speculators, are concerned with the profit to be made by buying and selling the contract at the most opportune time. Listed derivatives are traded on organized exchanges or markets. Other derivatives are traded over-the-counter (OTC) and in private transactions.

derivative

a financial instrument such as an OPTION or SWAP whose value is derived from some other financial asset (for example, a STOCK or SHARE) or indices (for example, a price index for a commodity such as cocoa). Derivatives are traded on the FORWARD MARKETS and are used by businesses and dealers to ‘hedge’ against future movements in share, commodity etc. prices and by speculators seeking to secure windfall profits. See LONDON INTERNATIONAL FINANCIAL FUTURES EXCHANGE (LIFFE), EUREX.

derivative

a financial instrument such as an OPTION or SWAP the value of which is derived from some other financial asset (for example, a STOCK or SHARE) or indices (for example, a price index for a commodity such as cocoa). Derivatives are traded on the FUTURES MARKETS and are used by businesses and dealers to ‘hedge’ against future movements in share, commodity, etc., prices and by speculators seeking to secure windfall profits. See LONDON INTERNATIONAL FINANCIAL FUTURES EXCHANGE (LIFFE), STOCK EXCHANGE.
AcronymsSeeD

derivative


Related to derivative: Derivative market
  • all
  • noun
  • adj

Synonyms for derivative

noun by-product

Synonyms

  • by-product
  • spin-off
  • offshoot
  • descendant
  • derivation
  • outgrowth

adj unoriginal

Synonyms

  • unoriginal
  • copied
  • second-hand
  • rehashed
  • imitative
  • plagiarized
  • uninventive
  • plagiaristic

Antonyms

  • original
  • first-hand
  • archetypal
  • seminal
  • prototypical

Synonyms for derivative

adj stemming from an original source

Synonyms

  • derivational
  • derived
  • secondary

noun something derived from another

Synonyms

  • byproduct
  • derivation
  • descendant
  • offshoot
  • outgrowth
  • spinoff

Synonyms for derivative

noun the result of mathematical differentiation

Synonyms

  • derived function
  • differential
  • differential coefficient
  • first derivative

Related Words

  • curvature
  • figuring
  • reckoning
  • calculation
  • computation
  • partial
  • partial derivative

noun a compound obtained from, or regarded as derived from, another compound

Related Words

  • chemical compound
  • compound

noun a financial instrument whose value is based on another security

Synonyms

  • derivative instrument

Related Words

  • legal document
  • legal instrument
  • official document
  • instrument
  • futures contract
  • law
  • jurisprudence
  • option

noun (linguistics) a word that is derived from another word

Related Words

  • linguistics
  • word

adj resulting from or employing derivation

Related Words

  • derived
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更新时间:2024/11/12 1:36:49