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362
dilute solutions is just as imaginary as MrrscuEnLicH’S “maximal
yield“. Keeping in mind our definition of the term antagonism
the real existence of such a retarding influence even in dilute
solutions does not necessarily follow directly from the conclusions
made above. It is only if the antagonism is always, (thus also in
our case), the result of interference between the retarding effects
of factors, (which seems very probable), that the real existence of
retarding actions of salls in dilute solutions upon the growth of
Dala-oats is a necessary consequence of the author’s conclusion.
The old view held by LiEBIG and others namely that only one
factor is of importance for the production, has been opposed
during the last 10 years by various investigators (cf. ROMELL,
1924, [24). The author ventures to say that the whole impres-
sion conveyed by the literature on this particular subject is that
the modern view on this problem is certainly correct, at any rate
in so far that the production depends on the intensities of all
production factors, even if we do not with certainty know in
what way they co-operate, (cf. STILES and JORGENSEN 1917 [26]
p. 196—197). As this is so, we cannot — without making certain
assumptions — say anything more in detail about the antagonistic
effect observed in the first experiment. By making certain assump-
tions, however, we are able to put forward a suggestion regarding
the general idea of the variation of this effect. Although the author
hopes that the previous discussion will produce an acceptable
sequence of conclusions, he is quite aware of the fact that the
suggestion to be given below is only tentative and one which,
when tested by one or two further experiments, may prove unsalis-
factory. On the other hand, however, the suggestion may stimulate
further work, and the author therefore ventures to propound it.
We will in the first place assume that the differences between
the two curves may be considered to be due only to the antago-
nistic effect of the Ca/Na ratio, all other effects being disregarded.
(The probable influence. of the other factors has been discussed
above.) The production curve of the first experiment thus re-
presents exactly the effect of the combination of two factors
(frequently referred to above), the curve of the second experiment
shows the effect of one of these factors only. This means that
there exists a certain mathematical relation between the ordinates
of the two curves and the ordinate of a curve representing the
isolated antagonistic effect, which may be expressed f (y, 7) = Y,
i
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