In literature:
The first dynamos were constructed with two commutator bars.
"Scientific American Supplement No. 822" by Various
The lord preferred to commute his villein's service into a small payment.
"The History of England" by T.F. Tout
The oath was commuted for a promise, on honour, of secrecy.
"The Disentanglers" by Andrew Lang
A fresh step towards freedom was made by the growing tendency to commute labour-services for money-payments.
"History of the English People, Volume I (of 8)" by John Richard Green
Acquet, "whose declaration had deceived no one," seemed a good omen, indicating a commutation of her sentence.
"The House of the Combrays" by G. le Notre
The armature coils are connected with a commutator in the usual way, and the field may, of course, be excited either in shunt or in series.
"Scientific American Supplement, No. 633, February 18, 1888" by Various
The penalty was commuted, but the principle was established.
"History of France" by Charlotte M. Yonge
The birthdays of our commuters are not far apart.
"The Garden, You, and I" by Mabel Osgood Wright
In fact, the artificial premiums are the exact mathematical or commuted equivalents of the natural premiums.
"The Bay State Monthly, Volume 3, No. 6" by Various
This operation can easily be performed automatically by a commutator worked by a clock.
"Scientific American Supplement, No. 717, September 28, 1889" by Various
What care or attention should be given the commutator?
"The Traveling Engineers' Association" by Anonymous
Two people once spent years looking for a place within easy commuting distance of Philadelphia.
"If You're Going to Live in the Country" by Thomas H. Ormsbee and Richmond Huntley
In commutation of the four death sentences, the Government exacted L100,000; fifty-six other prisoners paid in a sum of L112,000.
"Boer Politics" by Yves Guyot
As long as one of the two plates of the switch is applied against the rail, one of the two commutators is inclined and no current passes.
"Scientific American Supplement, No. 315, January 14, 1882" by Various
Among equals, it is called commutative justice, the which alone is here in question.
"Explanation of Catholic Morals" by John H. Stapleton
The governor commuted the sentence to penal servitude for life.
"Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6" by Various
Often the meaning of a sentence tacitly implies that the commutative law does not hold.
"The philosophy of B*rtr*nd R*ss*ll" by Various
A record of all such commutations shall be kept in the Native Affairs Office.
"The Fijians" by Basil Thomson
Of the death sentence I was so happy, at the eleventh hour, as to obtain a commutation.
"Notable Women Authors of the Day" by Helen C. Black
The genus commuter had been born.
"The Railroad Problem" by Edward Hungerford
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In poetry:
And then commutes the dire intent
To that of toil and banishment.
They hear their doom without a sigh
Or e'en a tear to dim the eye:
"Banishment Of Man From The Garden Of The Lord" by James Madison Bell
That turns the sweetest buds to flowers,
And chops and changes toys,
That breaks up dreams, and parts old friends,
And still commutes our joys—
"The Ape" by Charles Lamb
In news:
The good and bad for Romney in Mich. Clarence Aaron was denied commutation , but Bush team wasn't told all the facts.
Had he read the statements at the time, Lee said, he would have urged Bush to commute Aaron's sentence.
Prisons And Prisoners – Commutation Procedures – No Ex Post Facto Violation.
Three days after Superstorm Sandy walloped the city, residents and commuters still faced obstacles as they tried to return to pre-storm routines.
Commuters driving into the city were plagued by long waits for a second day.
Run by Metrolinx and municipalities in the greater Toronto and Hamilton area, it guides employers through various incentives for greening employees' commutes .
Howard Chang, left, commutes to work by bicycle, while co-worker Michael Rogen arrives via rollerblades.
Monday Commute Will Be Abnormal.
The delays come on the busiest travel night of the year as thousands of commuters and visitors tried to make their way to to Long Island and New Jersey.
The timing could not have been worse for thousands of commuters who had their travel routines upended by Sandy.
A crash along Interstate 71 north caused a traffic headache for commuters Wednesday morning.
A crash along I-71 north causes a traffic headache for morning commuters .
Yet the best advice he can offer is for commuters is to try to leave before noon Wednesday or after 8 pm to avoid the traffic tieups that are expected.
Long commutes linked to high blood pressure and higher body mass index, study finds.
Confronting your internal dialogue about commuting frustrations may help.
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In science:
Above [ , ]− denotes a commutator and [ , ]+ an anti-commutator.
On the Luttinger theorem concerning number of particles in the ground states of systems of interacting fermions
P = (cid:112)G/c3 , As soon as ordinary coordinates functions no longer commute a fundamental dimensioned area appears proportional to their commutator.
Why Renormalizable NonCommutative Quantum Field Theories?
From that scale up, we should use the non-commutative scale decomposition and the non-commutative renormalization group rather than the ordinary one.
Why Renormalizable NonCommutative Quantum Field Theories?
In , a non-commutative version is presented, in a generalization is formulated where the ring extension is replaced by a B -A–bimodule, where A is non-commutative and B is commutative, in B is allowed to be a (non-commutative) separable algebra.
Galois theory in bicategories
The inner triangle commutes because of the counit condition on α, while the inner quadrangle commutes by (4).
Galois theory in bicategories
Moreover, the diagram commutes in the following sense: the outer square and the inner square both commute.
Galois theory in bicategories
Consequently the left square of diagram (21) commutes and moreover the right square commutes in a serial way.
Galois theory in bicategories
The commutative and anti-commutative relationships for the a- and b-operators assigned to the same site can be derived directly from the definitions (3) – (6) and provided (partially) in the Appendix (and do not agree with canonical Fermi or Bose relationships).
A simple model for describing a lattice with a double occupancy
It is convenient to use a matrix representation for operators to investigate their commutative and/or anti-commutative properties.
A simple model for describing a lattice with a double occupancy
Here (ij) and (ijk) denote cyclic permutations of respective components of H ⊗m . A pseudoalgebra is associative if it satisﬁes the associativity identity, Lie if it satisﬁes the anti-commutativity and Jacobi identity, Jordan if it satisﬁes the commutativity and Jordan identity, etc.
Simple Jordan conformal superalgebras
Auslander, Anneaux de Gorenstein, et torsion en alg`ebre commutative. S´eminaire d’Alg`ebre Commutative dirig´e par Pierre Samuel, 1966/67.
On classes defining a homological dimension
Since the set { gk (x)|U λ | k ∈ S } of commutative linear transformations is commutative, there exists 0 6= u′ ∈ U λ such that gk (x)(u′ ) = µk u′ for k ∈ S and µk ∈ k.
Generalization of One of Lie's Theorems
Noting that ξk commutes with xl for every l 6= k and commutes with all ηl , as well as the equality ξk .1λ = 0, we have with the help of Lemma 4.18 the ﬁrst equality,viz.
Representations of pointed Hopf algebras and their Drinfel'd quantum doubles
Further ak skew commutes with η t with scalar χt (ak ) and χk skew commutes with η t with scalar χk (bt ).
Representations of pointed Hopf algebras and their Drinfel'd quantum doubles
In addition ak bk commutes with xl for l 6= k and skew commutes with all ηl .
Representations of pointed Hopf algebras and their Drinfel'd quantum doubles
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