converge

Definitions

  • WordNet 3.6
    • v converge come together so as to form a single product "Social forces converged to bring the Fascists back to power"
    • v converge move or draw together at a certain location "The crowd converged on the movie star"
    • v converge be adjacent or come together "The lines converge at this point"
    • v converge approach a limit as the number of terms increases without limit
    • ***
Webster's Revised Unabridged Dictionary
    • v. t Converge To cause to tend to one point; to cause to incline and approach nearer together. "I converge its rays to a focus of dazzling brilliancy."
    • v. i Converge To tend to one point; to incline and approach nearer together; as, lines converge . "The mountains converge into a single ridge."
    • ***
Century Dictionary and Cyclopedia
    • converge To tend to meet in a point or line; incline and approach nearer together, as two or more lines in the same plane which are not parallel, or two planes which are not parallel; tend to meet if prolonged or continued; figuratively, to tend or lead to a common result, conclusion, etc.: opposed to diverge.
    • converge To cause to approach, or meet in a point.
    • converge In biology, to exhibit resemblances which are not inherited from a common ancestor.
    • ***
Chambers's Twentieth Century Dictionary
    • v.i Converge kon-vėrj′ to tend to one point
    • ***

Etymology

Webster's Revised Unabridged Dictionary
Pref. con-, + L. vergere, to turn, incline; cf. F. converger,. See Verge (v. i.)
Chambers's Twentieth Century Dictionary
L. con, together, and vergĕre, to bend, to incline.

Usage

In literature:

This is shown by four convergent lines of argument.
"The Arian Controversy" by H. M. Gwatkin
Gradually most of our artillery in the background to the left of us seemed to be converging upon this village.
"Letters from France" by C. E. W. Bean
And the two galleys converged rapidly, intending to strike him full, one on each bow.
"Great Sea Stories" by Various
The two trails were converging.
"The Drama of the Forests" by Arthur Heming
En-Noor and I converged to-day from the backs of our respective camels.
"Narrative of a Mission to Central Africa Performed in the Years 1850-51, Volume 2" by James Richardson
It often happens that two chasms converging separate a rock from the cliff.
"Outlines of the Earth's History" by Nathaniel Southgate Shaler
The constant stream of runners, etc., of both battalions converging on the H.Q.
"The Seventh Manchesters" by S. J. Wilson
In the distance they heard the unmistakable roar of jet cars converging on the Plaza.
"The Space Pioneers" by Carey Rockwell
The multitudes began to converge towards the spot where they had suddenly appeared.
"The Mark of the Beast" by Sidney Watson
The great results of history, economics, and law are effected by the converging power of many facts.
"Continental Monthly, Volume 5, Issue 4" by Various
From all sides, from the mouth of every coulee that opened into it, dark specks were converging upon the stockade.
"The Settling of the Sage" by Hal G. Evarts
The space is considerable, and many streets converge upon it at irregular angles.
"Sketches and Studies in Italy and Greece, Complete" by John Symonds
Already men were converging upon them from different sides.
"Steve Yeager" by William MacLeod Raine
The three men converged at the same moment.
"The Triumph of John Kars" by Ridgwell Cullum
The girls were already converging on Verkan Vall.
"Police Operation" by H. Beam Piper
He seemed the vanishing point of these converging stripes, the object they were striving toward, the end they aimed for.
"The Emigrant Trail" by Geraldine Bonner
Abruptly the tracks terminated; others, softer, joined them, two sets converging from left and right.
"The Devil Doctor" by Sax Rohmer
The fire of the enemy, like so many spokes of flame converging to a centre, broke upon him.
"Deeds that Won the Empire" by W. H. Fitchett
I caught a touch of danger converging up from the South on a series of small roads.
"Highways in Hiding" by George Oliver Smith
Towards the top of the hill the lines converged.
"The Old Front Line" by John Masefield
***

In poetry:

Crosses the lake. The worms
Quit their usual habitations.
The small birds converge, converge
With their gifts to a difficult borning.
"The Manor Garden" by Sylvia Plath
Now on every side we faintly hear
The crack of the stockwhip drawing near;
To the camp the cattle soon converge,
As from the thick scrub they emerge.
"Song of the Squatter" by Anonymous Oceania
Like wandering refugees from
A city of renown,
Impelled to reconnoiter
This Massachusetts town,
Each by a common object urged,
Upon the park our paths converged.
"On The Common" by Hattie Howard
My candle burned alone in an immense valley.
Beams of the huge night converged upon it,
Until the wind blew.
The beams of the huge night
Converged upon its image,
Until the wind blew.
"Valley Candle" by Wallace Stevens
Chorus: So early in the morning, etc.
Now on every side we faintly hear
The crack of the stockwhip drawing near;
To the camp the cattle soon converge,
As from the thick scrub they emerge.
"Mustering Song" by Anonymous Oceania
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

In news:

Dozens of high-powered offshore powerboats will converge on the resort area starting this afternoon for a series of events onshore and off throughout the weekend culminating with two races just off the coast of Ocean City on Sunday afternoon.
Women business owners will converge on Evanston, Ill. For their mother-of-all-summits May 29-30 at J.L.
Ten months after its ViaLink acquisition, Prescient is beta testing a converged scan-based trading environment for product distributors and retail supply chain customers.
Due to an unprecedented convergence of several economic factors, the Canada/USA exchange rate has reached an historic level which benefits our American customers.
We posted a news story earlier today containing some suggestions from Emerson Process Management on the topic of how WirelessHART and ISA100 can converge.
ANDREW LEIBENGUTH/TIMES NEWS Firefighters converged at 2 West Sherman Street last night following a basement fire.
The fates of three families converge in ' Ragtime .'.
Ithaca's Hangar Theatre continues its summer season with this musical version of E.L. Doctorow's epic novel linking characters from three different social backgrounds as they converge in New York City at the turn of the 20th century.
Convergence, Refinement Are the Buzz.
Scents of converging Current Biology, Volume 15, Issue 2, 26 January 2005, Pages R38 Full Text PDF (3183 kb).
Ward Just's novel ' Rodin 's Debutante': converging lives, loose ends.
CONvergence, Alex Kuno and Sunset Rubdown .
Every now and then, the two converge in a perfect storm.
Nimble Storage today launched an iSCSI array with a converged approach to primary and secondary storage .
Nu-Con Equipment's compact 4-way Selector Valve diverts or converges the flow of pneumatically conveyed powders and pellets in dilute and dense phase pressure or vacuum systems.
***

In science:

In Sect. 5 we show that our matrices converge to q -deformed Gaussian variables not only in the sense of expectation values mixed moments, but that that mix moments converge almost surely.
Gaussian Random Matrix Models for q-deformed Gaussian Random Variables
Then by the martingale convergence theorem (see Theorem 3.1.8 in [JS]) the local martingale N (p−2)/4MN (t) converges to M∞ (t) in law as N ↑ +∞.
Fluctuations of the free energy in the REM and the p-spin SK models
Clearly, the weak convergence of PN to P implies convergence in law of the right hand side of (3.16), provided that eαx is integrable on [x, ∞) w.r.t. the Poisson process with intensity e−x .
Fluctuations of the free energy in the REM and the p-spin SK models
If sπ ,1 converges to β , then h(sπ ,1) will converge to ∞, so the lower bound in (27) can only converge to a small value if h(sπ ,∗) converges to 0, in which case sπ ,1 = 0 is a better choice.
Fast graphs for the random walker
What is the radius of convergence of nonlinear elastic theory? We can use the ratio test: the radius of convergence equals the ratio cn/cn+1 as n → ∞.
Formal Considerations about Fracture: Nucleation and Growth
The solution, which turns the convergence in distribution into a.s. convergence, is to run the dynamics from the past up to time 0, rather than from time 0 into the future.
Coupling and Bernoullicity in random-cluster and Potts models
Our method bases on the observation that if a sequence of random matrices A(N ) converges in ⋆–moments to x then the Fuglede–Kadison determinants ∆(A(N ) ) converge to ∆(x) as well if we are able to find some bottom bounds for the smallest singular values of A(N ) .
Random regularization of Brown spectral measure
How quickly does this method converge to the truth? Since the method is memoryless, as the name implies, it is clear that the learning process is a Markov chain, and as is well-known the convergence rate is determined by the gap between the top (Perron-Frobenius) eigenvalue and the second largest eigenvalue.
Harmonic mean, random polynomials and stochastic matrices
Convergence follows from the dominated convergence theorem (or by making C small).
Harmonic mean, random polynomials and stochastic matrices
Since some of the quantities we are trying to estimate depend on n, it is not enough for us to know that the distributions of the quantities Xn converge to a stable law, but it is necessary to have good estimates on the speed of convergence (cf.
Harmonic mean, random polynomials and stochastic matrices
By the latter we mean the existence of an appropriate notion of convergence of metrics which ensures the convergence of the respective curvature tensors.
Generalized pseudo-Riemannian geometry
The convergence in distribution and the convergence of moments for the second row λ2 was obtained in .
Riemann-Hilbert problems for last passage percolation
So we see, that a.s. convergence for the averaged scattering images holds if and only if the two individual terms converge.
Universal bounds on the selfaveraging of random diffraction measures
This form of convergence implies the classical weak convergence proved in Theorem 2 of Newman .
An information-theoretic Central Limit Theorem for finitely susceptible FKG systems
Proof Via monotone convergence: κ(n, τ ) converges monotonically to 0 in n, and hence R κ(n, τ )dτ converges to zero.
An information-theoretic Central Limit Theorem for finitely susceptible FKG systems
***