Taken together, throwing away terms of high enough grade and the removal of terms with even l after summation removes a high proportion of commutators.From theCambridge English Corpus
It reduces the free invariants into products of d-triangles andcommutatorwords.From theCambridge English Corpus
Each hole connected by nylon hydraulic tubing to a ' fluidcommutator', a manifold containing a rotatable, ported centre-body.From theCambridge English Corpus
We have already exploited skew symmetry of thecommutatorin the derivation and 'beautification' of our integration formulae.From theCambridge English Corpus
For high-order methods, a significant number of commutators must be computed if dexp-1 is computed using (2.46).From theCambridge English Corpus
It is difficult to formalize the last two steps, involving two or more commutators.From theCambridge English Corpus
So, one could say that stablecommutatorlength and homogeneous quasi-morphisms are in duality.From theCambridge English Corpus
A special feature of this transducer is that the output is free from any noise induced fromcommutatorfriction.From theCambridge English Corpus
In general, the number of terms counted according to power is significantly smaller than similar enumeration by the number of commutators.From theCambridge English Corpus
An essential role is played by thecommutator.From theCambridge English Corpus
For the nonabelian case we give a partial characterization of the group of free invariants in terms of 'characteristic' powers of triangles andcommutatorwords.From theCambridge English Corpus
The degree to which the flows of two vector fields fail to commute is measured by thecommutatorof the two vector fields.From theCambridge English Corpus
Provided that d is small, typically we can obtain thecommutatormatrix and its exponential explicitly.From theCambridge English Corpus
In other words, the length function merely counts commutators.From theCambridge English Corpus
At present there is no theory that systematically reduces the number of commutators to minimum.From theCambridge English Corpus
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