The unity of the monarchy is expressed in the common head of the state, who bears the title Emperor of Austria and Apostolic King of Hungary, and in the common administration of a series of affairs, which affect both halves of the Dual Monarchy.
The dual moons seemed to hover somewhere in the middle of the air of a massive chasm, just like the dozen or so hulking spaceships, whose dark grey skins reflected like skins of massive grey whales in the moonlight.
At any one of the m 2 -26 - 3K points the variable curve and the consecutive curve have tangents distinct from yet infinitesimally near to each other, and each of these two tangents is also infinitesimally near to one of the n 2 -2T-3t common tangents of the two curves; whence, attending only to the variable curve, and considering the consecutive curve as coming into actual coincidence with it, the n 2 -2T-3c common tangents are the tangents to the variable curve at the m 2 -26-3K points respectively, and the envelope is at the same time generated by the m 2 -26-3K points, and enveloped by the n2-2T-3c tangents; we have thus a dual generation of the envelope, which only differs from Pliicker's dual generation, in that in place of a single point and tangent we have the group of m2-26-3K points and n 2 -2T-3c tangents.
His view as to the dual composition of the toxin molecule has already been mentioned, and it is evident that if the haptophorous or combining group has its affinity satisfied by union with antitoxin, the toxin will no longer combine with living cells, and will thus be rendered harmless.
Here the diet passed a resolution denouncing the dual system and demanding the restoration of the union of the empire.
This convention, which tended to neutralize the dependence of Servia upon Austria-Hungary by facilitating the export of Servian goods through the Bulgarian ports on the Black Sea, brought about a war of tariffs between Servia and the Dual Monarchy.
Thus they did not teach a dual personality, nor the old Antiochene view that Christ's divine exaltation was due to his sinless virtue; they were less concerned with old disputes than with the problem as the Chalcedon decision had left it - the relation of Christ's one personality to his two natures.
Hereafter the simple name Pontus without qualification was regularly employed to denote the half of this dual province, especially by Romans and people speaking from the Roman point of view; it is so used almost always in the New Testament.
One is forced to the conclusion that there existed in Napoleon's brain a dual capacity - one the normal and reasoning one, developing only the ideas and conceptions of his contemporaries, the other intuitive, and capable only of work under abnormal pressure.
By this declaration Servia abandoned all its demands as against Austria-Hungary, while the Austro-Hungarian foreign minister made simultaneously a public declaration that the Dual Monarchy harboured no unfriendly designs against Servia.