convergence

Definitions

  • WordNet 3.6
    • n convergence the act of converging (coming closer)
    • n convergence a representation of common ground between theories or phenomena "there was no overlap between their proposals"
    • n convergence the approach of an infinite series to a finite limit
    • n convergence the occurrence of two or more things coming together
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Webster's Revised Unabridged Dictionary
    • Convergence a representation of common ground between theories or phenomena.
    • Convergence (Biol) a similarity of form or function in two or more organisms caused by evolutionary adaptations to a similarity in the environment, rather than to a common heredity. "The convergence or divergence of the rays falling on the pupil."
    • Convergence the act of converging (coming closer).
    • Convergence (Math) the approach of an infinite series to a finite limit.
    • Convergence The condition or quality of converging; tendency to one point; the occurrence of two or more things coming together.
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Century Dictionary and Cyclopedia
    • n convergence The character or fact of converging; tendency to one point; the fact of meeting in a point.
    • n convergence In mathematics: The gradual and indefinite approximation of the sum of an infinite series toward a finite value. The scalar part of the result of performing upon any vector function the operation
    • n convergence It is so called because, if the vector function be considered as representing the velocity and direction of a flowing fluid, the surface integral of this function over a closed surface, or the flow inward through that surface, is equal to the volume integral of the convergence within the surface. See curl.
    • n convergence In biology, the manifestation of a tendency, among allied or diverse groups of organisms, to assume series of modifications by the same methods or along parallel lines, and with somewhat similar results. Thus, through successive rock strata representing periods of time, species originally dissimilar evolve in such a manner that the derived forms of each series resemble each other much more than do the ancestral forms. The term is also applied to a like developmental process in a single organ or group of organs. Convergence is the process of which homomorphy is the result.
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Chambers's Twentieth Century Dictionary
    • ns Convergence act or quality of tending to one point
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Etymology

Webster's Revised Unabridged Dictionary
Cf. F. convergence,
Chambers's Twentieth Century Dictionary
L. con, together, and vergĕre, to bend, to incline.

Usage

In literature:

Eventually the two roads converged.
"History Of Egypt, Chaldæa, Syria, Babylonia, And Assyria In The Light Of Recent Discovery" by L.W. King and H.R. Hall
He saw, too, that he had reached a point where three trails converged.
"The Trail Horde" by Charles Alden Seltzer
In the present subject, however, the converging sky and street lines are broken by the quaint clock-tower.
"Pen Drawing" by Charles Maginnis
Many important highways converge at Tarbes, which lies in a rich, elevated plain on the left bank of the River Adour.
"Foch the Man" by Clara E. Laughlin
Two cuts were made under each bolt, wide at the base and converging towards it.
"The Lion of Saint Mark" by G. A. Henty
Towards Leipsig, however, as on a common centre, the forces of France, and all her enemies, were now at length converging.
"The History of Napoleon Buonaparte" by John Gibson Lockhart
These three storms converged at the foot of the little hill, crushing the little band of troopers.
"Bob Hampton of Placer" by Randall Parrish
By-and-by I began to hear answering yells, that seemed to converge upon us from all directions.
"Romance" by Joseph Conrad and F.M. Hueffer
But this ended suddenly at the edge of the sand flat, with the converging waters of the two rivers visible just beyond.
"The Devil's Own" by Randall Parrish
From a front over eight miles in extent there poured in a converging artillery fire against which our guns could do nothing.
"Sir John French" by Cecil Chisholm
Ideas are modified and become purer as they converge into types, and the principle and method at once become more rational.
"Myth and Science" by Tito Vignoli
Three distinct moral motives lay behind it and converged upon it.
"The Free Press" by Hilaire Belloc
But Verdun stood, and General Joffre held the two armies back to back, converging on the point at Verdun.
"The Story of the Great War, Volume III (of 12)"
A thousand of them converged and rushed the redoubt at the head of the Kereves Dere.
"Gallipoli Diary, Volume I" by Ian Hamilton
It is reflected to the convex mirror (M6), then back in a less rapidly convergent beam toward the large mirror.
"The New Heavens" by George Ellery Hale
At this point they converge to the boss in the middle of the central octagon.
"The Cathedral Church of York" by A. Clutton-Brock
The mountains converge here so that the valley becomes a canon.
"Tenting To-night" by Mary Roberts Rinehart
Where the tracks all converge towards a valley between two hills, they probably lead to a spring.
"From Pole to Pole" by Sven Anders Hedin
They converged in a rush as Conn and his father and Lucas came in.
"The Cosmic Computer" by Henry Beam Piper
Moments later, the two groups of Masters converged at the gate, two from one direction and five from the other.
"Rebels of the Red Planet" by Charles Louis Fontenay
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In poetry:

"Take through the universe thy road;
All paths lead up to His abode,
Converging at the Mount of God!"
"Voices of Hope" by Kate Seymour Maclean
Sits deftly, folding elegant thighs, and takes
Her time. She skins her little leather hands,
Conscious that wavering towards her like tame snakes
The polyp eyes converge.... The prophet stands
"Morning Coffee " by A D Hope
All round, where'er I turned mine eyes,
Huge hills closed up the view;
The town 'mid their converging roots
Was clasped by rivers two;
From, one range to another sprang
The sky's great vault of blue.
"The Hills" by George MacDonald
Yes, all is ordered well: Aimless may seem
The wandering foot; even it commissioned treads
The very lines by Providence laid down,
Sure, though unseen, of all-converging good:
Look up, old man, and see:—
"The Old Soldier: Campaign The Third" by Thomas Aird
ver! Sabbath belling. Snoods converge
on a weary-daring man.
What now can be cleard up? from the Yard the visitors urge.
Belle thro' the graves in a blast of sun
to the kirk moves the youngest witch.
Watch.
"Dream Song 12: Sabbath" by John Berryman
longer than Henry's chill, longer than his loss
and longer than the letter that he wrote that day to the widow
to find out what the hell had happened thus.
All souls converge upon a hopeless mote
tonight, as though
"Dream Song 127: Again, his friend's death made the man sit still" by John Berryman

In news:

Police converged on this home on Westwood Drive after a father apparently shot his son to death during an argument.
The Supreme Court's health-care ruling displayed an unfortunate convergence of two unholy strains of constitutional jurisprudence: liberal activism and conservative pacifism .
Bombay Sapphire Gin and TV production company Leopard Films USA are teaming up to produce five short films and a 60-minute documentary to explore the convergence of emerging and established artistic talent.
Convergence to Hit Access Control Soon, says Phare Consulting.
Access control will follow CCTV as the next segment of physical security to converge with IT.
Toshiba America Information Systems Inc, Telecommunication Systems Division, today announced VIPedge ™, a cloud-based business telephone solution that grants SMBs the choice of Cloud, IP or Converged.
More than 100 of the best marksmen from throughout the Midwest converged on Rockford this past weekend.
Occupy Boston protesters draw attention to the convergence of economic and political power in America.
In the last two weeks, Mayor Giuliani has been like a train station in which several lines of argument converge.
The lives of three women converge in the months leading up to the US's entry into World War II.
Solar panels at Convergence Energy's solar farm in Walworth County, where Dan Osborn checks sunflowers in 2011, track only the sun's movement.
There are several truths that I hold dearly that converge in a children's book introduced to me this week.
I don't know of any event more spectacular to see in person than a bona fide ski-jumping competition, when some of the best young jumpers in the world converge.
Lakewood Ranch offensive lineman Machael Frahat (54) tries to fend off Gulfport Boca Ciega defenders as they converge on Mustangs quarterback Chad Rex (8) during Friday's game TOM HUBBARD/Special to the Herald.
Envivio is providing a Convergence Generation video headend for TUŠ TELEKOM's live standard definition (SD) and high definition (HD) IPTV services in Slovenia.
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In science:

One then deduces easily the convergence of ˜Xln from the convergence of ˜Mln .
Multifractal stationary random measures and multifractal random walks with log-infinitely divisible scaling laws
The same definition holds for convergence in the C k ,α topology, as well as the weak Lk ,p topology. (Recall that a sequence of functions fi ∈ Lp (Ω) converges weakly in Lp to a limit f ∈ Lp (Ω) iff R fig → R f g , for all g ∈ Lq (Ω), where p−1 + q−1 = 1).
Cheeger-Gromov Theory and Applications to General Relativity
Compactness/Convergence. A sequence gi ∈ Mc has a subsequence converging smoothly, (C∞), to a limit metric g ∈ Mc .
Cheeger-Gromov Theory and Applications to General Relativity
By the remarks preceeding the proof, the pointed Riemannian manifolds (M , ¯gi , xi ) have a subsequence converging in the weak L2,p topology to a limit L2,p Riemannian manifold (N , ¯g∞ , x∞ ). (Again, this convergence is understood to be modulo diffeomorphisms, as in Definition 1.1).
Cheeger-Gromov Theory and Applications to General Relativity
More importantly, if gi is a sequence of metrics for which (Ricgi )αβ converges strongly in Lp to a limit (Ricg∞ )αβ , then elliptic regularity again implies that the metrics (gi )αβ converge strongly in L2,p to the limit (g∞ )αβ .
Cheeger-Gromov Theory and Applications to General Relativity
Here, convergence in the Gromov-Hausforff topology means convergence as metric spaces, cf. , .
Cheeger-Gromov Theory and Applications to General Relativity
Let (un) be a sequence converging weakly to u ∈ B1 (A), and (µn ) a sequence converging weakly to µ ∈ M1(Q(A)).
Large deviations for Brownian motion in a random scenery
Then the convergence limn→∞ E[GLP (n, c)]/n implies the convergence of GLP (n, c)/n holds w.h.p.
Linear Phase Transition in Random Linear Constraint Satisfaction Problem
Moreover, if this convergence is slow enough, physically relevant problems may lie in the non converged regime.
Broad distribution effects in sums of lognormal random variables
Hence, the convergence of sequences with respect to the metric Θ implies the convergence with respect to the metric ̺.
Classification of Banach Spaces --its Topological and Cardinality Properties
It is easy to see that the convergence of this series on the set of points bounded away from Γy follows from the convergence of the Poincar´e series at D = (n − 1)a.
Quasiconformal Rigidity of Negatively Curved Three Manifolds
Quantum-gravitational equivalence is more subtle than the equivalent construction in classical physics. A convergent particle wave could be from either a diffraction event or alternatively from the converging force of a gravitational field.
Spinors in Quantum Geometrical Theory
The asymptotic rates of convergence are found to be O(1/n2 ), in agreement with the rates of convergence of the best standard discrete path integral techniques.
Random Series and Discrete Path Integral methods: The Levy-Ciesielski implementation
These convergence orders and convergence constants can be evaluated numerically as follows.
Random Series and Discrete Path Integral methods: The Levy-Ciesielski implementation
This result is in good agreement with the present analysis because the primitive L´evyCiesielski method cannot exceed the convergence rate of the most rapidly convergent series, the Wiener-Fourier series, which behaves asymptotically as O(1/n) .
Random Series and Discrete Path Integral methods: The Levy-Ciesielski implementation
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