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单词 bilinear
释义

bilinearadj.

/bʌɪˈlɪnɪə/
Etymology: < bi- comb. form 1f + linear adj. and n.Latin līnea line.
1. Of, pertaining to, or contained by, two (straight) lines.
ΘΚΠ
the world > relative properties > number > geometry > line > [adjective] > other
finite1570
adscribed1625
comprehending?1677
vertical1704
anharmonic1848
bilinear1851
collinear1863
nodal1863
congruent1864
non-concurrent1888
society > communication > representation > a plastic or graphic representation > graphic representation > drawing lines > [adjective] > of or relating to lines
bilinear1851
1851 H. L. Mansel Prolegomena Logica i. 24 There is no difficulty in understanding the meaning of the phrase bilinear figure..though the object is inconceivable.
1851 London, Edinb. & Dublin Philos. Mag. 1 132 There are three points of contact..where the two right lines meet. This, then, is a case of triple contact. I distinguish it by the name of bilinear-contact.
1866 Math. Questions from ‘Educational Times’ V. 76 Any equation expressed in Cartesian language may immediately be transformed into another expressed in bilinear (perpendicular) coordinates.
1885 S. Newcomb Elem. Analyt. Geom. ii. 13 (heading) Cartesian or bilinear co-ordinates.
2. Linear in two ways; chiefly in Mathematics: linear and homogeneous in each of two sets of independent variables. Also absol., a bilinear form.
ΘΚΠ
the world > relative properties > number > algebra > [adjective] > relating to expressions
interscendent1796
symmetrical1816
zeta-ic1840
associative1844
discriminantal1852
symmetric1853
discriminant1870
idempotent1870
interscendental1873
bilinear1886
non-trivial1901
left1926
right1930
the world > relative properties > number > geometry > line > [noun] > other
medial line1570
radius1590
lineature1630
foot line1658
rectification1685
axis1734
slant side1824
radiant1842
transverse1867
median1883
bilinear1923
1886 G. S. Carr Synopsis Elem. Results Math. II. 851/1 Bilinear forms.
1886 G. S. Carr Synopsis Elem. Results Math. II. 851/1 Bilinear functions.
1923 T. Muir Theory of Determinants IV. xx. 428 The corresponding theorem for the general bilinear is easily anticipated.
1938 A. D. Campbell Adv. Analytic Geom. viii. 121 This choice of new fundamental circles amounts to a so-called bilinear transformation of the parameter.
1967 K. W. Gruenberg & A. J. Weir Linear Geom. v. 91 A bilinear form is orthosymmetric if, and only if, it is either symmetric or skew-symmetric.
This entry has not yet been fully updated (first published 1887; most recently modified version published online June 2018).
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adj.1851
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