## umbrae

Noun

- plural form of
*umbra*

- But they seem to be more " nominis
**umbrae**" than real men; they serve the purpose of enabling the satirist to aim his blows at one particular object instead of declaiming at large. - Kircher (Ars Magna Lucis et
**Umbrae**), who notes elsewhere that Porta had taken some arrangement of projecting images from an Albertus, whom he distinguished from Albertus Magnus, and who was probably L. - Kircher (Ars Magna Lucis et
**Umbrae**, 1646); J. - Symbolic Form.-Restricting consideration, for the present, to binary forms in a single pair of variables, we must introduce the symbolic form of Aronhold, Clebsch and Gordan; they write the form Iln n n-1 n-1 n n n aixi+a2x2) = 44+(1) a l a 2 x 1 x2+...+a2.x2=az wherein al, a2 are
**umbrae**, such that n-1 n-1 n a 1, a 1 a 2, ...a 1 a 2, a2 are symbolical respreentations of the real coefficients ï¿½o, ai,... - If we restrict ourselves to this set of symbols we can uniquely pass from a product of real coefficients to the symbolic representations of such product, but we cannot, uniquely, from the symbols recover the real form, This is clear because we can write n-1 n-2 2 2n-3 3 a1a2 =a l a 2, a 1 a 2 = a 1 a2 while the same product of
**umbrae**arises from n n-3 3 2n-3 3 aoa 3 = a l .a a 2 = a a 2 .

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