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homogonous
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homogonous
homogonous, a. (həʊˈmɒgənəs) [f. homo- + Gr. -γονος generating or γόνος offspring + -ous.] 1. Bot. Having similar reproductive organs; applied by Asa Gray to flowers in which there is no difference of length in the stamens and pistils of different individuals; opp. to heterogonous 1.1877 [see homogo...
Oxford English Dictionary
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homogone
homogone, a. Bot. (ˈhɒməgəʊn) [f. homo- + Gr. -γονος generating.] = homogonous 1.1877 Gray in Amer. Jrnl. Sc. Ser. iii. XIII. 82 The counter⁓part homogone (or homogonous) would designate the absence of this kind of differentiation.
Oxford English Dictionary
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homostyled
homostyled, a. Bot. (ˈhɒməʊstaɪld) [f. homo- + style + -ed2.] Having the styles or pistils (in different individual plants) of the same length relatively to the stamens (= homogonous 1, homomorphic 1 b): opp. to heterostyled. Also homostylic (hɒməʊˈstaɪlɪk), homostylous (-ˈstaɪləs), adjs. in same se...
Oxford English Dictionary
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heterogonous
heterogonous, a. (-ˈɒgənəs) [f. as heterogone a. + -ous.] 1. Bot. Having incongruous reproductive organs; applied by Asa Gray to flowers in which cross-fertilization is secured by the stamens and pistils being dimorphic or trimorphic.1877 [see heterogone]. 1880 Gray Struct. Bot. vi. §4. 225 They may...
Oxford English Dictionary
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Linear Algebra Complex A homogonous linear system is given by: > x1 + x2 = 0 > > a · x2 + x3 = 0 > > 2·x1 + x2 + a·x3 =0 where a ∈ C, a) Find the determinant of A and give the values of a for which matrix A is re...
Ok some start along the way. First if we order $x_1,x_2,x_3$ as columns we can write the equation system as a matrix: $$\left[\begin{array}{rrr|r}1&1&0&0\\\0&a&1&0\\\2&1&a&0\end{array}\right]$$ where the first row means $x_1+x_2 = 0$ and so on... If you replace row 3 with 2 times row 1 minus row 3 $...
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