By Nagnibida N. I.
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Extra info for A basis for the space of functions analytic in a disk
2) also implies that in order to be a linear system, a chromatograph must have the following two properties: 1) 2) No interaction between the solutes. A peak corresponding to a given solute should be the same regardless of the presence of other solutes in the test mixture. No overloading in a system. A change in the amount of any solute in a test mixture should only cause a proportional change in the height of the corresponding peak, and neither the shape nor the retention time of the peak should depend on that amount.
Frequently, there might be no clearly recognizable maximal nonoverloading amount of a test mixture for a particular chromatograph. The ﬁrst noticeable sign of a column overloading might appear as a j19 j 3 Linear Systems 20 slight distortion of a peak shape . Further increase in the amount can lead to more pronounced and then to unacceptable distortions. A choice of the maximal nonoverloading amount might be different for different test mixtures and different analyses. In all cases, however, the limit to the amount of the test mixture always exists, and it might be up to the analyst to deﬁne its level.
One property of standard deviation, s, sets it apart from many other pulse width metrics. The quantity s provides a deﬁnitive information about the distribution of the area of the pulse. Let y(x) be a positive pulse, and m1ð Àx0 A ðx0 Þ ¼ 1 ð yðxÞ dx þ À1 yðxÞ dx ð3:19Þ m1 þ x0 be a part of its area located outside of a 2x0-wide segment (m1 À x0, m1 þ x0), centered around the centroid, m1, of the pulse, and A ¼ A(0) be the net area of the pulse. 5% on each side). 5 It is very unfortunate that while s in Eq.
A basis for the space of functions analytic in a disk by Nagnibida N. I.