geometric progressionn.

Brit.

/ˌdʒiːəˈmɛtrɪk prəˈɡrɛʃn/,

/dʒɪəˈmɛtrɪk prəˈɡrɛʃn/, U.S.

/ˌdʒiəˈmɛtrɪk prəˈɡrɛʃ(ə)n/,

/ˌdʒiəˈmɛtrɪk proʊˈɡrɛʃ(ə)n/

Forms: see geometric n. and adj. and progression n.

Origin: Formed within English, by compounding; modelled on a Latin lexical item. Etymons: geometric adj., progression n.

Etymology: < geometric adj. + progression n., after post-classical Latin progressio geometrica (1544 or earlier in continental sources, 1686 in a British source). Compare earlier geometrical progression n.

Mathematics.

A sequence of quantities in which the ratio between successive quantities is constant, as 1, 3, 9, 27, etc. Also in extended use.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > sequence > progression

progressionc1450

arithmetical progression1553

geometrical progression1557

geometric progression1696

geometric ratio1736

arithmetical ratio1798

geometrical ratio1798

arithmetic progression1886

harmonic series1964

1696 W. Whiston New Theory of Earth iii. 177 Which to how immense a Sum it would arise, those who know any thing of the nature of Geometrick Progressions will easily pronounce.

1701 S. Heynes Treat. Trigonom. (Of Nature & Use of Table of Logarithms) 1 For every Multiplication or Division of the Terms in the Geometric Progression one by another, there is an answerable Addition or Subduction of the Exponents.

1786 T. Baldwin Airopaidia lvi. 235 The Levity, it is true, will encrease as the Balloon rises, (probably in a geometric Progression).

1884 Ann. Math. 1 70 A thin extensible cord in which the density of the material increases in geometric progression.

1951 W. W. Elliott & E. R. C. Miles College Math. (ed. 2) ix. 126 A geometric progression is a sequence of numbers in which each term after the first is obtained from the preceding one by multiplying it by a fixed number.

1973 S. Lanier Hiero's Journey iii. 70 The fact that mental powers accrete in a geometric, not arithmetical progression, depending on how much and how well they are used.

1991 New Scientist 23 Nov. 31/1 These branched units are called ‘branch cells’ and accumulate according to a geometric progression to produce a symmetrical tree-like structure.

2009 Bakersfield Californian (Nexis) 8 May General class chaos grows when the head count goes up. ‘For every kid you add to a class it's not linear, it's a geometric progression,’ Greenberg said.

This entry has been updated (OED Third Edition, March 2012; most recently modified version published online March 2022).

单词	geometric progression
释义	geometric progressionn. Brit. /ˌdʒiːəˈmɛtrɪk prəˈɡrɛʃn/, /dʒɪəˈmɛtrɪk prəˈɡrɛʃn/, U.S. /ˌdʒiəˈmɛtrɪk prəˈɡrɛʃ(ə)n/, /ˌdʒiəˈmɛtrɪk proʊˈɡrɛʃ(ə)n/ Forms: see geometric n. and adj. and progression n. Origin: Formed within English, by compounding; modelled on a Latin lexical item. Etymons: geometric adj., progression n. Etymology: < geometric adj. + progression n., after post-classical Latin progressio geometrica (1544 or earlier in continental sources, 1686 in a British source). Compare earlier geometrical progression n. Mathematics. A sequence of quantities in which the ratio between successive quantities is constant, as 1, 3, 9, 27, etc. Also in extended use. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > sequence > progression progressionc1450 arithmetical progression1553 geometrical progression1557 geometric progression1696 geometric ratio1736 arithmetical ratio1798 geometrical ratio1798 arithmetic progression1886 harmonic series1964 1696 W. Whiston New Theory of Earth iii. 177 Which to how immense a Sum it would arise, those who know any thing of the nature of Geometrick Progressions will easily pronounce. 1701 S. Heynes Treat. Trigonom. (Of Nature & Use of Table of Logarithms) 1 For every Multiplication or Division of the Terms in the Geometric Progression one by another, there is an answerable Addition or Subduction of the Exponents. 1786 T. Baldwin Airopaidia lvi. 235 The Levity, it is true, will encrease as the Balloon rises, (probably in a geometric Progression). 1884 Ann. Math. 1 70 A thin extensible cord in which the density of the material increases in geometric progression. 1951 W. W. Elliott & E. R. C. Miles College Math. (ed. 2) ix. 126 A geometric progression is a sequence of numbers in which each term after the first is obtained from the preceding one by multiplying it by a fixed number. 1973 S. Lanier Hiero's Journey iii. 70 The fact that mental powers accrete in a geometric, not arithmetical progression, depending on how much and how well they are used. 1991 New Scientist 23 Nov. 31/1 These branched units are called ‘branch cells’ and accumulate according to a geometric progression to produce a symmetrical tree-like structure. 2009 Bakersfield Californian (Nexis) 8 May General class chaos grows when the head count goes up. ‘For every kid you add to a class it's not linear, it's a geometric progression,’ Greenberg said. This entry has been updated (OED Third Edition, March 2012; most recently modified version published online March 2022). < n.1696
随便看	θ178717 θ178718 θ178719 θ17872 θ178720 θ178721 θ178722 θ178723 θ178724 θ178725 θ178726 θ178727 θ178728 θ178729 θ17873 θ178730 θ178731 θ178732 θ178733 θ178734 θ178735 θ178736 θ178737 θ178738 θ178739