coefficientadj.n.

/kəʊɪˈfɪʃənt/

Etymology: < co- prefix 3 + efficient adj. and n. Compare French coefficient, noun. In senses A., B. 1 often written with hyphen.

A. adj.

Cooperating to produce a result.

ΘΚΠ

the world > action or operation > [adjective] > operating together

concurrent1532

co-operant1598

co-operative1603

concurring1633

brotherly1638

coefficient1665

co-working1670

synenergetical1682

conspiring1730

consentient1737

co-ordinate1769

synergetic1821

synergistic1832

synergic1836

synergetical1856

1665 Philos. Trans. (Royal Soc.) 1 31 Without other Coefficient cause.

B. n.

1. A coefficient cause; a joint agent or factor in producing an effect or result.

ΘΚΠ

the world > existence and causation > causation > [noun] > joint cause

concausea1620

con-causal1660

coefficient1708

co-cause1812

1708–15 in J. Kersey Dict. Anglo-Britannicum

1721 in N. Bailey Universal Etymol. Eng. Dict. Coefficient, that which causes, makes or brings to pass together with another.

1755 S. Johnson Dict. Eng. Lang. Coefficient, That which unites its action with the action of another.

1848 T. De Quincey Final Memorials C. Lamb in N. Brit. Rev. Nov. 181 Some marked originality of character in the writer becomes a coefficient with what he says to a common result.

1865 G. Grote Plato II. xxiii. 176 Socrates will not allow such agencies to be called Causes: he says that they are only co-efficients.

2. Mathematics.

a. Algebra. A number or quantity placed (usually) before and multiplying another quantity known or unknown.[According to Hutton, Vieta, who died in 1603, and wrote in Latin, introduced coefficiens in this sense.]Thus in 4x² + 2ax, 4 is the coefficient of x², 2 of ax, and 2a of x. Coefficients are sometimes distinguished as numerical (i.e. represented by arithmetical figures) and literal (i.e. represented by algebraical letters).

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > [noun] > multiplication > multiplier or multiplicand

multipliantc1450

multiplicator1543

multiplier1543

multiplicand1594

factor1658

multiplied1660

coefficient1708

geniture1718

multiplicative1727

factor1779

weight1825

conversion factor1918

scale factor1948

co-factor-

1708 J. Kersey Dict. Anglo-Britannicum Coefficients, (in Algebra) such Numbers as are set before any Species or Letters, into which Letters they are suppos'd to be Multiplied.

1721 in N. Bailey Universal Etymol. Eng. Dict.

1734 G. Berkeley Analyst §9 Rules for obtaining the fluxions of all other products and powers; be the coefficients or the indexes what they will.

1775 G. Stuart tr. J. L. de Lolme Constit. Eng. Introd. The mathematician..begins by freeing his equation from co-efficients.

1875 I. Todhunter Algebra for Schools i. 4.

1879 S. Highley in Cassell's Techn. Educator IV. 292/2 I have detected an error in one of the numerical coefficients of the formula.

b. Physics. A multiplier that measures some property of a particular substance, for which it is constant, while differing for different substances.e.g. coefficient of expansion, coefficient of torsion, etc.; coefficient of friction: the ratio between the force necessary to move one surface horizontally over another and the pressure between the two surfaces; cf. friction n. 3.

ΘΚΠ

the world > matter > physics > [noun] > specific concepts or principles of > specific types of quantity > specific type of multiplier

coefficient1829

1829 Nat. Philos. (Libr. Useful Knowl.) I. Optics 4/2 The number 1·336 which regulates the refraction of water, is called its index, or exponent, or co-efficient of refraction.

1871 B. Stewart Heat (ed. 2) §33 The co-efficient of expansion of a substance is the expansion for one degree of temperature of that quantity of the substance whose length or volume was unity at a certain standard temperature.

1879 G. B. Prescott Speaking Telephone (new ed.) 123 Magnetization..produces a diminution in the coefficient of elasticity in iron wire.

1879 W. Thomson & P. G. Tait Treat. Nat. Philos. (new ed.) I: Pt. i. §300 The relative velocity of separation after the impact..to which we give the name Coefficient of Restitution..In most modern treatises this is called a ‘coefficient of elasticity’, which is clearly a mistake.

c. differential coefficient: the quantity which measures the rate of change of a function of any variable with respect to that variable.

ΘΚΠ

the world > relative properties > number > calculus > [noun] > differential calculus > differentiation > derivative

derivativea1690

fluxion1704

differential coefficient1708

differential coefficient1786

first derivative1852

1708–15 J. Kersey Dict. Anglo-Britannicum Coefficient of any generating Term (in Geometrical Fluctions) is the Quantity which arises by dividing that Term by the generated Quantity.

1855 Wallace in Encycl. Brit. IX. 688/2 The expression ^du/ _dx is called the first differential co-efficient of the function u, or the differential co-efficient of the first order.

1875 I. Todhunter Diff. Calculus (ed. 7) xxvii. 392.

This entry has not yet been fully updated (first published 1891; most recently modified version published online March 2019).

单词	coefficient
释义	coefficientadj.n. /kəʊɪˈfɪʃənt/ Etymology: < co- prefix 3 + efficient adj. and n. Compare French coefficient, noun. In senses A., B. 1 often written with hyphen. A. adj. Cooperating to produce a result. ΘΚΠ the world > action or operation > [adjective] > operating together concurrent1532 co-operant1598 co-operative1603 concurring1633 brotherly1638 coefficient1665 co-working1670 synenergetical1682 conspiring1730 consentient1737 co-ordinate1769 synergetic1821 synergistic1832 synergic1836 synergetical1856 1665 Philos. Trans. (Royal Soc.) 1 31 Without other Coefficient cause. B. n. 1. A coefficient cause; a joint agent or factor in producing an effect or result. ΘΚΠ the world > existence and causation > causation > [noun] > joint cause concausea1620 con-causal1660 coefficient1708 co-cause1812 1708–15 in J. Kersey Dict. Anglo-Britannicum 1721 in N. Bailey Universal Etymol. Eng. Dict. Coefficient, that which causes, makes or brings to pass together with another. 1755 S. Johnson Dict. Eng. Lang. Coefficient, That which unites its action with the action of another. 1848 T. De Quincey Final Memorials C. Lamb in N. Brit. Rev. Nov. 181 Some marked originality of character in the writer becomes a coefficient with what he says to a common result. 1865 G. Grote Plato II. xxiii. 176 Socrates will not allow such agencies to be called Causes: he says that they are only co-efficients. 2. Mathematics. a. Algebra. A number or quantity placed (usually) before and multiplying another quantity known or unknown.[According to Hutton, Vieta, who died in 1603, and wrote in Latin, introduced coefficiens in this sense.]Thus in 4x² + 2ax, 4 is the coefficient of x², 2 of ax, and 2a of x. Coefficients are sometimes distinguished as numerical (i.e. represented by arithmetical figures) and literal (i.e. represented by algebraical letters). ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > [noun] > multiplication > multiplier or multiplicand multipliantc1450 multiplicator1543 multiplier1543 multiplicand1594 factor1658 multiplied1660 coefficient1708 geniture1718 multiplicative1727 factor1779 weight1825 conversion factor1918 scale factor1948 co-factor- 1708 J. Kersey Dict. Anglo-Britannicum Coefficients, (in Algebra) such Numbers as are set before any Species or Letters, into which Letters they are suppos'd to be Multiplied. 1721 in N. Bailey Universal Etymol. Eng. Dict. 1734 G. Berkeley Analyst §9 Rules for obtaining the fluxions of all other products and powers; be the coefficients or the indexes what they will. 1775 G. Stuart tr. J. L. de Lolme Constit. Eng. Introd. The mathematician..begins by freeing his equation from co-efficients. 1875 I. Todhunter Algebra for Schools i. 4. 1879 S. Highley in Cassell's Techn. Educator IV. 292/2 I have detected an error in one of the numerical coefficients of the formula. b. Physics. A multiplier that measures some property of a particular substance, for which it is constant, while differing for different substances.e.g. coefficient of expansion, coefficient of torsion, etc.; coefficient of friction: the ratio between the force necessary to move one surface horizontally over another and the pressure between the two surfaces; cf. friction n. 3. ΘΚΠ the world > matter > physics > [noun] > specific concepts or principles of > specific types of quantity > specific type of multiplier coefficient1829 1829 Nat. Philos. (Libr. Useful Knowl.) I. Optics 4/2 The number 1·336 which regulates the refraction of water, is called its index, or exponent, or co-efficient of refraction. 1871 B. Stewart Heat (ed. 2) §33 The co-efficient of expansion of a substance is the expansion for one degree of temperature of that quantity of the substance whose length or volume was unity at a certain standard temperature. 1879 G. B. Prescott Speaking Telephone (new ed.) 123 Magnetization..produces a diminution in the coefficient of elasticity in iron wire. 1879 W. Thomson & P. G. Tait Treat. Nat. Philos. (new ed.) I: Pt. i. §300 The relative velocity of separation after the impact..to which we give the name Coefficient of Restitution..In most modern treatises this is called a ‘coefficient of elasticity’, which is clearly a mistake. c. differential coefficient: the quantity which measures the rate of change of a function of any variable with respect to that variable. ΘΚΠ the world > relative properties > number > calculus > [noun] > differential calculus > differentiation > derivative derivativea1690 fluxion1704 differential coefficient1708 differential coefficient1786 first derivative1852 1708–15 J. Kersey Dict. Anglo-Britannicum Coefficient of any generating Term (in Geometrical Fluctions) is the Quantity which arises by dividing that Term by the generated Quantity. 1855 Wallace in Encycl. Brit. IX. 688/2 The expression ^du/ _dx is called the first differential co-efficient of the function u, or the differential co-efficient of the first order. 1875 I. Todhunter Diff. Calculus (ed. 7) xxvii. 392. This entry has not yet been fully updated (first published 1891; most recently modified version published online March 2019). < adj.n.1665
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