单词 | bilinear |
释义 | bilinearadj. 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). < adj.1851 |
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