Thus, dimensional analysis may be used as a sanity check of physical equations : the two sides of any equation must be commensurable or have the same dimensions.
22.
Some modern scholars prefer to credit Hippasus with the discovery of the irrationality of commensurable with the side, then the same number must be both odd and even.
23.
In fact the Veech group is arithmetic ( which amounts to it being commensurable to the modular group ) if and only if the surface is tiled by parallelograms.
24.
I cannot say how many people were there, but the crowd is commensurable with the event, " said the head of the reception committee, Kamil Gadora.
25.
Monetization is thus foundational to capitalism, rendering things commensurable and exchangeable, allowing for the separation of production, circulation and consumption over great gulfs of time and space.
26.
The subgroups of \ mathrm { PSL } _ 2 ( \ mathbb C ) commensurable to those obtained by this construction are called " arithmetic Kleinian groups ".
27.
To achieve a resolution commensurable with that of a monolithic telescope of the same diameter the segmented surface must be controlled with a precision better than \ lambda / 40 surface rms.
28.
Examples of Veech surfaces are the square-tiled surfaces, whose Veech groups are commensurable to the modular group \ mathrm { PSL } _ 2 ( \ mathbb Z ).
29.
In the case of an arithmetic surface whose fundamental group is commensurable with a Fuchsian group derived from a quaternion algebra over a number field F the invariant trace field equals F.
30.
It's not clear, however that this stereotypical view reflects the reality of East Asian classrooms or that the educational goals in these countries are commensurable with those in Western countries.
