There exists examples which are not commensurable to any of the previous constructions ( for instance groups acting geometrically on hyperbolic buildings ).
12.
They are not cocompact, and any arithmetic Kleinian group which is not commensurable to a conjugate of a Bianchi group is cocompact.
13.
This process can be formalized as a multiobjective optimization problem where non-commensurable objectives have to be maximized ( or minimized ).
14.
Some authors use the terms "'commensurate "'and " commensurable " for commensurable and widely commensurable respectively.
15.
Some authors use the terms "'commensurate "'and " commensurable " for commensurable and widely commensurable respectively.
16.
Some authors use the terms "'commensurate "'and " commensurable " for commensurable and widely commensurable respectively.
17.
With this definition, to the algebraic group \ mathrm G is associated a collection of " discrete " subgroups all commensurable to each other.
18.
Alan Brown suggests that Berlin ignores the fact that values are indeed commensurable as they can be compared by their varying contributions towards the human good.
19.
To rephrase : when theories are incommensurable, they cannot rule each other out, and when theories are commensurable, they cannot rule each other out.
20.
The next step was taken by Eudoxus of Cnidus, who formalized a new theory of proportion that took into account commensurable as well as incommensurable quantities.
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