Pliicker

The direction of change of pressure occurring in the distillation of a mixture of changing composition is fixed by a very general rule, deduced by Gibbs (1876), and used by Konowalow as a consequence of some experiments of Pliicker (1854), who found that the vapour pressure over a mixture of alcohol and water is all the less the larger the space which the vapour has to saturate. The rule may be stated as follows —... 

Pliicker, J. (1858). Ueber die Einworkung des Magneten auf die elektrischen Entladungen in verdiinnten Gasen. Annalen der Physik und Chemie 103 88-106, 151-157. 

The band spectrum of nitrogen in a vacuum tube was observed by J. Pliicker, and in the brush discharge of an ordinary electrical machine, by Y. S. M. van der Willigen. It is illustrated by Fig. 6. The spectrum was studied by J. Plucker... 

Julius Pliicker (1801-1868), Professor of Mathematics and Physics at the Rheinische Friedrich-Wilhelins-Univeritat Bonn. He developed line geometry, which substitutes the straight line for the point as the basic geometrical unit in space. 

Their properties can be investigated as follows (Pliicker, 1858 Hittorf, J. J. Thomson). If a body is placed in the path of the rays, it is seen to cast a shadow on the fluorescent part of the glass. From the geometrical relations it can be inferred that, the rays producing the shadow spread out in... 

Pliicker W. and Keilholz W. (1933) Bestimmung vanChlorogen- und Kaffeesiture. Z. Unters. Lebensmitted66,200-38. 

Pliicker himself had actually shown this deflection to exist, and Crookes had done so independently. There still remained a question, however. If the cathode rays consisted of charged particles, an electric field should deflect them, too, but at first that effect was not demonstrated. 

First, an alternating, nontrivial (i.e. not constantly zero) function x from ri to +,-,0 fulfilling the binary Grassmann-Pliicker relations (defined below) is called a chirotope (of rank 4) over n= 0,..., n -1, according to Definition 3.5.3 in... 

As orientations are signs of determinants, it follows that the orientation function of any conformation fulfills the binary Grassmann Pliicker relations, introduced below (Herrmann Grassmann, German mathematician, 1809-1877, Julius Pliicker, German mathematician and physicist, 1801-1868). 

Example (The constitution of Figure 4.2c, cont.) Consider the constitution of Figure 4.2c and the set of its abstract POFs. The binary Grassmarm-Pliicker relation corresponding to atom quadruples (3,2,0,1) and (5,6,1,0) is as follows ... 

Note that different binary Grassmann-Pliicker relations may lead to the seune condition. For example, the one corresponding to (2,3,0,1) and (6,5,1,0) leads to the same condition as the one discussed above. Test 4 checks all such criteria obtained by binary Grassmann Pliicker relations ... 

Using Tests 1, 2c, and 4 we obtain 18 candidates, i.e the 12 non-reaUzable candidates from the run with Tests 1 and 2c alone were successfully suppressed by the Grassmann-Pliicker Test 4. 

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