Lorenzn.¹

/ləˈrɛnts/

Etymology: < the name of Max Otto Lorenz (1876–1959), U.S. statistician, who devised the curve ( Q. Publ. Amer. Statistical Assoc. (1905) 9 217).

Economics.

Lorenz curve n. a graph in which the proportion of the total personal income of a country is plotted against the proportion of individuals who collectively receive that proportion; more widely, any similar graph relating proportion of a total to the proportion of recipients, etc., of it.

ΘΚΠ

society > communication > representation > a plastic or graphic representation > graphic representation > drawing plans or diagrams > [noun] > diagram > graph > type of

wave-line1888

periodogram1898

periodograph1899

Lorenz curve1909

bar chart1914

growth curve1916

bar diagram1923

bar graph1925

line graph1956

1909 Q. Jrnl. Econ. 24 172 A small difference in method of compilation at this point will affect every part of the Lorenz curve.

1920 Econ. Jrnl. 30 353 Another interesting measure of inequality is based upon what some writers have called a Lorenz curve. [Note] Originally proposed by Mr. M. O. Lorenz.

1938 M. D. Anderson Dynamic Theory Wealth Distrib. x. 199 A Lorenz curve is a graph depicting the cumulative percentage of total income on one axis and the cumulative percentage of persons receiving the income on the other axis.

1965 McGraw-Hill Dict. Mod. Econ. 306 The greater the sag of the Lorenz curve, the greater the inequality of the income distribution.

1977 D. M. Smith Human Geogr. vi. 135 The Lorenz curve can reveal a number of interesting properties of a distribution.

1980 Sci. Amer. Sept. 76/1 One procedure is to present the observed distribution of household income in a country in a Lorenz curve.

1988 C. Pass et al. Collins Reference Dict. Econ. 85 50% of market sales are accounted for by the largest 25% of total firms, as the Lorenz curve indicates.

This entry has not yet been fully updated (first published 1997; most recently modified version published online June 2018).

Lorenzn.²

/ləˈrɛnts/

Forms: Also (erron.) Lorentz.

Etymology: < the name of L. V. Lorenz (1829–91), Danish physicist.

Physics.

Used attributively and in the possessive to designate the ratio k/σT (k = thermal conductivity, σ = electrical conductivity, T = temperature), which has approximately the same value for many metallic elements over a wide range of temperatures.

ΘΚΠ

the world > matter > physics > electromagnetic radiation > electricity > transmission of electricity, conduction > [noun] > conductive power > ratio

Lorenz1922

Wiedemann–Franz ratio1966

1922 R. Glazebrook Dict. Appl. Physics I. 459/2 They found that for seven pure metals..the value of Lorenz's constant K/λT was nearly the same over the range 18° to 100°C.

1966 C. R. Tottle Sci. Engin. Materials v. 122 The electron influence on the thermal conductivity of metals is normally far greater than the lattice contribution. When this is the case, the Lorentz constant holds reasonably well.

1966 C. S. G. Phillips & R. J. P. Williams Inorg. Chem. II. xix. 23 On the free-electron theory [of metals] it is predicted that there should be a direct relation between the thermal, k, and electrical, σ, conductivities... The Lorenz number, k/σT, has the theoretical value of 2·45 × 10⁻⁸ watt ohm deg⁻².

This entry has not yet been fully updated (first published 1976; most recently modified version published online December 2020).

Lorenzn.³

/ˈlɒrɛnts/

Etymology: < the name of Edward N. Lorenz (1917–2008), U.S. meteorologist.

Physics.

Lorenz attractor n. a strange attractor in the form of a two-lobed figure resembling a mask, formed by a trajectory spiralling round the mask's ‘eyeholes’ and alternating randomly between its two sides. Cf. strange attractor n. at strange adj. and n. Additions.

ΘΚΠ

the world > relative properties > number > geometry > point > [noun] > attractor

attractor1947

strange attractor1971

Lorenz attractor1976

1976 Lect. Notes Math. 565 147 I shall however turn now to the discussion of an object which has greater geometric simplicity, and intuitive appeal: the Lorentz attractor.

1989 I. Stewart Does God play Dice? vii. 138 (caption) The Lorenz attractor: trajectories cycle, apparently at random, round the two lobes.

1991 Sci. Amer. Aug. 13/2 (advt.) This 63-minute video turns the Mandelbrot set and Lorenz attractor into visible objects as their discoverers discuss the details of their work.

This entry has not yet been fully updated (first published 1997; most recently modified version published online January 2018).

n.¹1909

n.²1922

n.³1976

单词	lorenz
释义	Lorenzn.¹ /ləˈrɛnts/ Etymology: < the name of Max Otto Lorenz (1876–1959), U.S. statistician, who devised the curve ( Q. Publ. Amer. Statistical Assoc. (1905) 9 217). Economics. Lorenz curve n. a graph in which the proportion of the total personal income of a country is plotted against the proportion of individuals who collectively receive that proportion; more widely, any similar graph relating proportion of a total to the proportion of recipients, etc., of it. ΘΚΠ society > communication > representation > a plastic or graphic representation > graphic representation > drawing plans or diagrams > [noun] > diagram > graph > type of wave-line1888 periodogram1898 periodograph1899 Lorenz curve1909 bar chart1914 growth curve1916 bar diagram1923 bar graph1925 line graph1956 1909 Q. Jrnl. Econ. 24 172 A small difference in method of compilation at this point will affect every part of the Lorenz curve. 1920 Econ. Jrnl. 30 353 Another interesting measure of inequality is based upon what some writers have called a Lorenz curve. [Note] Originally proposed by Mr. M. O. Lorenz. 1938 M. D. Anderson Dynamic Theory Wealth Distrib. x. 199 A Lorenz curve is a graph depicting the cumulative percentage of total income on one axis and the cumulative percentage of persons receiving the income on the other axis. 1965 McGraw-Hill Dict. Mod. Econ. 306 The greater the sag of the Lorenz curve, the greater the inequality of the income distribution. 1977 D. M. Smith Human Geogr. vi. 135 The Lorenz curve can reveal a number of interesting properties of a distribution. 1980 Sci. Amer. Sept. 76/1 One procedure is to present the observed distribution of household income in a country in a Lorenz curve. 1988 C. Pass et al. Collins Reference Dict. Econ. 85 50% of market sales are accounted for by the largest 25% of total firms, as the Lorenz curve indicates. This entry has not yet been fully updated (first published 1997; most recently modified version published online June 2018). Lorenzn.² /ləˈrɛnts/ Forms: Also (erron.) Lorentz. Etymology: < the name of L. V. Lorenz (1829–91), Danish physicist. Physics. Used attributively and in the possessive to designate the ratio k/σT (k = thermal conductivity, σ = electrical conductivity, T = temperature), which has approximately the same value for many metallic elements over a wide range of temperatures. ΘΚΠ the world > matter > physics > electromagnetic radiation > electricity > transmission of electricity, conduction > [noun] > conductive power > ratio Lorenz1922 Wiedemann–Franz ratio1966 1922 R. Glazebrook Dict. Appl. Physics I. 459/2 They found that for seven pure metals..the value of Lorenz's constant K/λT was nearly the same over the range 18° to 100°C. 1966 C. R. Tottle Sci. Engin. Materials v. 122 The electron influence on the thermal conductivity of metals is normally far greater than the lattice contribution. When this is the case, the Lorentz constant holds reasonably well. 1966 C. S. G. Phillips & R. J. P. Williams Inorg. Chem. II. xix. 23 On the free-electron theory [of metals] it is predicted that there should be a direct relation between the thermal, k, and electrical, σ, conductivities... The Lorenz number, k/σT, has the theoretical value of 2·45 × 10⁻⁸ watt ohm deg⁻². This entry has not yet been fully updated (first published 1976; most recently modified version published online December 2020). Lorenzn.³ /ˈlɒrɛnts/ Etymology: < the name of Edward N. Lorenz (1917–2008), U.S. meteorologist. Physics. Lorenz attractor n. a strange attractor in the form of a two-lobed figure resembling a mask, formed by a trajectory spiralling round the mask's ‘eyeholes’ and alternating randomly between its two sides. Cf. strange attractor n. at strange adj. and n. Additions. ΘΚΠ the world > relative properties > number > geometry > point > [noun] > attractor attractor1947 strange attractor1971 Lorenz attractor1976 1976 Lect. Notes Math. 565 147 I shall however turn now to the discussion of an object which has greater geometric simplicity, and intuitive appeal: the Lorentz attractor. 1989 I. Stewart Does God play Dice? vii. 138 (caption) The Lorenz attractor: trajectories cycle, apparently at random, round the two lobes. 1991 Sci. Amer. Aug. 13/2 (advt.) This 63-minute video turns the Mandelbrot set and Lorenz attractor into visible objects as their discoverers discuss the details of their work. This entry has not yet been fully updated (first published 1997; most recently modified version published online January 2018). < n.¹1909n.²1922n.³1976
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