biordinaladj.n.

Brit.

/bʌɪˈɔːdᵻnl/,

/bʌɪˈɔːdn̩l/, U.S.

/baɪˈɔrdnl/

Origin: Formed within English, by compounding. Etymons: bi- comb. form, ordinal adj.

Etymology: < bi- comb. form + ordinal adj.In sense A. 1 apparently coined by A. de Morgan (see quot. 1853 at sense A. 1).

A. adj.

†1. Mathematics. Designating a linear differential equation of the second order; of or relating to such an equation. See order n. 4a. Obsolete.

ΘΚΠ

the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to equations > involving terms of specific highest power

quadratic1668

quadrato-quadratical1668

quadraticala1690

biordinal1853

octavic1854

quartic1856

nonic1910

1853 A. De Morgan in Trans. Cambr. Philos. Soc. 9 2 It is desirable to invent single words to stand for the phrases ‘of the first order,’ ‘of the second order,’ etc. I propose primordinal, biordinal, etc. The word differential may be dispensed with, since these adjectives are understood to apply to differential equations only.

a1865 W. R. Hamilton Elem. Quaternions (1866) iii. iii. 607 This circumstance is analytically represented, in our recent calculations, by the biordinal form of the differential equation CXLV.

2. Entomology. Of hooks on the prolegs of caterpillars: arranged in a straight line or circle, and of two different, alternating, lengths. Also: designating this arrangement.

ΚΠ

1915 S. B. Fracker Classif. Lepidopterous Larvae 46 We are able to distinguish uniordinal crochets.., in which the tips as well as the bases are in a straight line, from the biordinal.., in which the crochets are of two distinct lengths alternating.

1946 Ann. Entomol. Soc. Amer. 39 563 Crochets on abdominal prolegs 20–25, biordinal, arranged in a circle which is weaker outwardly and occasionally slightly broken.

2002 Florida Entomologist 85 396/1 The crochets are arranged in an uniserial biordinal semicircle.

†B. n.

Mathematics. A biordinal equation. Obsolete.

ΘΚΠ

the world > relative properties > number > algebra > [noun] > expression > equation > named according to highest power

quadratic equation1647

biquadratic1661

quadratic1674

linear1684

cubic equation1728

linear equation1816

biordinal1876

1876 Messenger Math. 5 152 The integration..is made to depend upon that of m biordinals.

1881 Proc. London Math. Soc. 10 Feb. 268 The biordinal would become (1-x²) (x²z′′ + λxz′ + νz) = 0, which is soluble as it stands.

This entry has been updated (OED Third Edition, November 2010; most recently modified version published online December 2021).

单词	biordinal
释义	biordinaladj.n. Brit. /bʌɪˈɔːdᵻnl/, /bʌɪˈɔːdn̩l/, U.S. /baɪˈɔrdnl/ Origin: Formed within English, by compounding. Etymons: bi- comb. form, ordinal adj. Etymology: < bi- comb. form + ordinal adj.In sense A. 1 apparently coined by A. de Morgan (see quot. 1853 at sense A. 1). A. adj. †1. Mathematics. Designating a linear differential equation of the second order; of or relating to such an equation. See order n. 4a. Obsolete. ΘΚΠ the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to equations > involving terms of specific highest power quadratic1668 quadrato-quadratical1668 quadraticala1690 biordinal1853 octavic1854 quartic1856 nonic1910 1853 A. De Morgan in Trans. Cambr. Philos. Soc. 9 2 It is desirable to invent single words to stand for the phrases ‘of the first order,’ ‘of the second order,’ etc. I propose primordinal, biordinal, etc. The word differential may be dispensed with, since these adjectives are understood to apply to differential equations only. a1865 W. R. Hamilton Elem. Quaternions (1866) iii. iii. 607 This circumstance is analytically represented, in our recent calculations, by the biordinal form of the differential equation CXLV. 2. Entomology. Of hooks on the prolegs of caterpillars: arranged in a straight line or circle, and of two different, alternating, lengths. Also: designating this arrangement. ΚΠ 1915 S. B. Fracker Classif. Lepidopterous Larvae 46 We are able to distinguish uniordinal crochets.., in which the tips as well as the bases are in a straight line, from the biordinal.., in which the crochets are of two distinct lengths alternating. 1946 Ann. Entomol. Soc. Amer. 39 563 Crochets on abdominal prolegs 20–25, biordinal, arranged in a circle which is weaker outwardly and occasionally slightly broken. 2002 Florida Entomologist 85 396/1 The crochets are arranged in an uniserial biordinal semicircle. †B. n. Mathematics. A biordinal equation. Obsolete. ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > equation > named according to highest power quadratic equation1647 biquadratic1661 quadratic1674 linear1684 cubic equation1728 linear equation1816 biordinal1876 1876 Messenger Math. 5 152 The integration..is made to depend upon that of m biordinals. 1881 Proc. London Math. Soc. 10 Feb. 268 The biordinal would become (1-x²) (x²z′′ + λxz′ + νz) = 0, which is soluble as it stands. This entry has been updated (OED Third Edition, November 2010; most recently modified version published online December 2021). < adj.n.1853
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