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[exhauster?]. Every given mathmatical theory must, in that sense, eventually become exhausted. Whether or not new theories of interest will continue to offer new problems or not, I am not prepared today.
But to come back to the matter in hand, 4 give you without further preface, the following rule for positively, ascertaining whether or not a given graph is beta possible.
The first place [find?] in the graph [every radius?] (regarding 0 as a [lexis?]) of which ([radius?] is within an odd number of [cuts?]) one replica is odly enclosed (i.e. is [within?] a certain number of cuts) The latter [not?] being enclosed for every cut that encloses the former; and call every such pair of spots an adaptible pair. An adaptible pair is said to be [conjoined?]

[exhauster?]. Every given mathmatical theory [must?], in that sense, eventually become exhausted. Whether or not their theories of interest will continue to offer new problems of not, I am not [prepared?] today.
But to come back to the matter in hand, 4 give you [without?] further [quesface?] The following rule for positivity, ascertaining whether or not a given graph is [heta is differs??]
The first place [find?] in the graph [every radius?] (regarding 0 as a [lexis?]) of which ([radius?] is within an odd number of [cuts?]) one replica is odly enclosed (i.e. is [within?] a certain number of cuts) The latter [not?] being enclosed for every cut that encloses the former; and call every such pair of spots an adaptible pair. An adaptible pair is said to be [conjoined?]