In literature:
Equal or even commensurable efficiency in education can come only through a like process.
"Craftsmanship in Teaching" by William Chandler Bagley
Authority and power are here commensurate with the duty imposed.
"The Atlantic Monthly, Volume 18, No. 110, December, 1866" by Various
In the case of a few, the term "family" is commensurate with language, since there is but one language and no dialects.
"Indian Linguistic Families Of America, North Of Mexico" by John Wesley Powell
The results were commensurate with the immensity of the struggle.
"Kelly Miller's History of the World War for Human Rights" by Kelly Miller
How shall knowledge be commensurate with the stars, or wander over the universe?
"The Knickerbocker, or New-York Monthly Magazine, February 1844" by Various
The music of "Salome," for instance, is not even commensurable with Wilde's drama.
"Musical Portraits" by Paul Rosenfeld
The Jews confessed their sins to their rabbis, and the penance or punishment was commensurate with their guilt.
"The Mysteries of All Nations" by James Grant
The company consists principally of Baltimoreans, who will reap a harvest commensurate with the capital invested.
"The Dismal Swamp and Lake Drummond, Early recollections" by Robert Arnold
Loans with commensurate Assurances.
"Notes and Queries, Number 188, June 4, 1853" by Various
Loans with commensurate Assurances.
"Notes and Queries, Number 190, June 18, 1853" by Various
Merry well's success had proved more than commensurate with his most sanguine expectations.
"Real Life In London, Volumes I. and II." by Pierce Egan
Love, which is commensurate with life, has innumerable phases.
"What Is and What Might Be" by Edmond Holmes
The Responsibilities of the Ancient Father Commensurate with His Power.
"The Family and it's Members" by Anna Garlin Spencer
Whether the results were commensurate with our efforts I cannot say.
"The Promised Land" by Mary Antin
The feeling of loyalty which the child has for his home does not extend commensurately to the school.
"New Ideals in Rural Schools" by George Herbert Betts
Secondly, a handsome allowance, commensurate with your fortune.
"The King's Own" by Captain Frederick Marryat
The only vice which is not redeemed by producing commensurate good, is avarice.
"Mr. Midshipman Easy" by Captain Frederick Marryat
An effective Judiciary establishment commensurate to the legislative authority, was essential.
"The Journal of the Debates in the Convention which Framed the Constitution of the United States" by James Madison
The poker used in the old road taverns was of a size commensurate with the fireplace, often being seven or eight feet long.
"Historic Highways of America (Vol. 10)" by Archer Butler Hulbert
It was a small furnished cottage that he had rented for some months past, at a rent commensurate with his means.
"This House to Let" by William Le Queux
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In poetry:
That those, from whom the chains are falling,
May be inspired with a zeal
Commensurate with the lofty calling,
Which every patriot heart should feel.
"Admonition" by James Madison Bell
In news:
Building Economic Pathways Commensurate With Global Ambitions.
The chief forms of beauty are order, commensurability, and precision.
Salary Salary commensurate with experience.
The changes have conspired to create pressure on the Government of Helmut Kohl to assume a role in the world commensurate with the country's economic and strategic importance - a position it has long been reluctant to accept.
Commensurate with qualifications and experience.
Over the summer, polls showed Obama with a broad but narrow lead across the battleground states, roughly commensurate with his advantage nationally.
Insider reports of the sales of what should have been the system's flagship Western holiday title, Call of Duty : Black Ops Declassified, are commensurate with its Metacritic score (31, as of this writing.).
The story gets complicated, but apparently Iceland is considering changing its name to something more commensurate with the island's natural beauties and amenities, among which, apparently, ice plays only a small part.
Weekdays, plus planned evening/weekend meetings and events as required Wage Range: Commensurate with experience Benefits: Vacation and Sick Leave, Health Plan Closing Date: Open until filled.
The president knows that the globalization of markets, including the market for labor, is irreversible, which is why he hasn't proposed policies even remotely commensurate with his campaign's alarmism.
Over the last decade, J. Robert Lennon's literary imagination has grown increasingly morbid, convoluted and peculiar — just as his books have grown commensurately more surprising, rigorous and fun.
In becoming the world's most-watched nation, Britain was promised a commensurate drop in crime.
Netflix subscribers watch 11% fewer minutes of television per day than nonsubscribers -- and their Internet video usage is a commensurately bigger chunk of their media diet, according to Nielsen.
Commensurate with ability and experience.
China Center Chart of the Week: Increasing intangible investment not yielding commensurate increases in output.
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In science:
Suppose G(∆) is abstractly commensurable to G(∆′ ) for some CLTTF deﬁning graph ∆′ .
Automorphisms and abstract commensurators of 2-dimensional Artin groups
It follows from the above argument that the image of the abstract commensurator ϕ is a ﬁnite index subgroup of G(A) .
Automorphisms and abstract commensurators of 2-dimensional Artin groups
We conclude by giving some examples of abstract commensurators which illustrate the situations one might need to consider in order to extend Theorem 3.
Automorphisms and abstract commensurators of 2-dimensional Artin groups
Then the Artin groups G(∆) and G(∆′ ) are abstractly commensurable.
Automorphisms and abstract commensurators of 2-dimensional Artin groups
It follows from remarks in the previous paragraph that H (∆; n) and H (∆′ ; n) are abstractly commensurable.
Automorphisms and abstract commensurators of 2-dimensional Artin groups
It would be interesting to give a classiﬁcation of all CLTTF Artin groups up to abstract commensurability.
Automorphisms and abstract commensurators of 2-dimensional Artin groups
The following example suggests that even amongst these deﬁning graphs there may be many non-obvious commensurations.
Automorphisms and abstract commensurators of 2-dimensional Artin groups
Then the Artin groups G(∆(n) ) and G(∆(m) ) are abstractly commensurable for all m, n ≥ 1 .
Automorphisms and abstract commensurators of 2-dimensional Artin groups
Thus, each group Gn is abstractly commensurable to G1, completing the proof.
Automorphisms and abstract commensurators of 2-dimensional Artin groups
We prove Theorem 4 above in [LSV3], by showing that Γi\Bd (F ) are isospectral and non-commensurable (namely they have no ﬁnite sheeted common cover).
Isospectral Cayley graphs of some finite simple groups
Of course, they are commensurable as graphs by Leighton’s result [L] that every two graphs with the same universal cover have a ﬁnite sheeted common cover.
Isospectral Cayley graphs of some finite simple groups
It now remains to verify the estimate (5.5) on the P -norm, as well as the rational commensurability claim.
On the singularity probability of random Bernoulli matrices
This leaves the veriﬁcation of the rational commensurability as the only remaining task.
On the singularity probability of random Bernoulli matrices
The latter have very rich properties due to, e.g. the presence of an inter-chain coupling: t⊥ and commensurability effects.
Tails of the dynamical structure factor of 1D spinless fermions beyond the Tomonaga approximation
It will be clear from the construction that Γ is commensurable with a reﬂection group which either coincides with Γ∗ or is an index 2 subgroup of Γ∗ .
A two-dimensional slice through the parameter space of two-generator Kleinian groups
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