convergent

Definitions

  • WordNet 3.6
    • adj convergent tending to come together from different directions
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Webster's Revised Unabridged Dictionary
    • a Convergent tending to one point of focus; tending to approach each other; converging. "As many rays of light, as conveniently can be let in, and made convergent .""The vast dome of its cathedral . . . directing its convergent curves to heaven."
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Century Dictionary and Cyclopedia
    • convergent Tending to meet or actually meeting in a point; approaching each other, as two lines; figuratively, tending to a common result, conclusion, etc.: as, convergent lines; convergent theories.
    • n convergent A fraction expressing the approximate value of a continued fraction, when only some of the first incomplete quotients are used. Thus, the convergents to the ratio of the circumference of a circle to its diameter are, etc., these being approximations to the continued fraction representing this ratio. See continued fraction, under continued.
    • convergent In biology, illustrative of or duo to convergence; similar in structure but different in origin (polyphyletic).
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Chambers's Twentieth Century Dictionary
    • adjs Convergent tending to one point
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Etymology

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

Usage

In literature:

This will be easily understood, if we reflect that here is the point where more muscles of expression converge than at any other.
"Atlantic Monthly, Vol. XII. July, 1863, No. LXIX." by Various
Several boys, converging from different directions, arrived at the handles at the same time.
"Tell England" by Ernest Raymond
The waters of hundreds of navigable streams converge there, and it must become the rival of London and Paris.
"The Free Rangers" by Joseph A. Altsheler
And now the roads were so many converging torrents of automobiles and carriages, and excitement had developed into fever.
"Your United States" by Arnold Bennett
Outside the regularly defended areas lay a region which, as the routes began to converge, was comparatively fertile.
"Some Principles of Maritime Strategy" by Julian Stafford Corbett
Clery's force, and at a convergent attack in superior strength upon his advance guard at Estcourt.
"Lessons of the War" by Spenser Wilkinson
They are steadily but very leisurely converging on the largest end hill of the opposite range.
"With Rimington" by L. March Phillipps
Their lorries and ambulances were converging from all points to meet the emergency.
"Out To Win" by Coningsby Dawson
It forms now a thin, blue cone, which converges to a point about an inch from the wick.
"A System of Instruction in the Practical Use of the Blowpipe" by Anonymous
This is the conical button with two converging holes in its base to pass the thread through.
"Rough Stone Monuments and Their Builders" by T. Eric Peet
It happened that the point of convergence lay near the spot, not far from Reitz, where De Wet and Steyn were in hiding.
"A Handbook of the Boer War" by Gale and Polden, Limited
Nature had sent them, all those years ago, converging together; and married life had sent them apart again.
"Married Life" by May Edginton
His eyes were always on the charging host which converged so fast upon the Alamo.
"The Texan Scouts" by Joseph A. Altsheler
There were many tracks of beasts, all of which seemed to converge to this spot.
"Bakemono Yashiki (The Haunted House)" by James S. De Benneville
It is fronted by a graveyard, whose two sides gradually converge towards a little iron gateway at the entrance.
"Little Abe" by F. Jewell
Powers converged upon him, and simple and direct as he was, the effects were confusion and deepest dejection.
"The Eagle's Heart" by Hamlin Garland
In this way the terror-stricken animals were kept within the narrowing limits of the two converging lines.
"Snow Shoes and Canoes" by William H. G. Kingston
At last the beams picked up low walls ahead, converging at the point toward which the suit was gliding.
"Legacy" by James H Schmitz
The frightened animals rushed down the converging lines of fence into the trap, where they were easily killed.
"French Pathfinders in North America" by William Henry Johnson
From down the waterways of streets which converged into the broad lagoon before the palace, boats began arriving.
"Tarrano the Conqueror" by Raymond King Cummings
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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:

Screen shot from Converge's 'All We Love We Leave Behind ' Album Stream by Jacob Bannon.
INTERVIEWS Stream Converge's Gloriously Brutal New Album 'All We Love We Leave Behind '.
REVIEWS Converge, 'All We Love We Leave Behind .
Dick Butkus joins the thousands who converged on Druid Hill Park for the Preakness Balloon Race on May 9, 1981.
Thacker Mountain converges on Lyric Theater tonight.
Futurists converge on Toronto to discuss brain preservation, technology, and how we might live forever.
A convergent powerhouse of forces, ranging from the positive to the unthinkable, is driving this transformation.
Tens of thousands of demonstrators from around the country are expected to converge here on Saturday to tell the Bush administration that they oppose its strategy for a pre-emptive military strike against Iraq.
The smartphone is hot on the list of "convergence" products--combinations of gizmos squished into one productivity tool.
Life expectancies at 65 for men and women are converging.
Staging The Playground MinEvent Meant Converging Technology And Performers And Taking The Show Outdoors.
Approximately 1.1-million folks are converging in San Francisco this weekend.
Throngs converge on Broadway during the Victorian Streetwalk in Saratoga Springs Thursday.
Maybe it's all headed toward a day of total convergence, when the lines separating one industry from the next will be irreversibly blurred.
Two of summer's long-running trends converge this weekend at the official dawn of fall: The Werks playing outdoor music festivals and Legend Valley hosting them.
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In science:

The first of the last three terms is the principal value integral converging to (H ˜f )(x) as ε ց 0 for a.e. x > 0, while the second and the third terms converge to 0 as ε ց 0.
Inequalities related to free entropy derived from random matrix approximation
This means that the sequence of functions 1 n log(g ◦ θn ) converges to 0 in measure and therefore some subsequence converges to 0 a.e.
Uniform hyperbolicity for random maps with positive Lyapunov exponents
B (K(α), ζ , R(ζ )) with 0 < R(ζ ) < ∞ on which the power series 2.7.2.(2) is uniformly convergent, that is, lim|k |→0 |ak |LR|k | = 0, hence this series is uniformly convergent on B (L, ζ , R(ζ )) also.
Line antiderivations over local fields and their applications
T ) = C (α)−1 ∂ΩP n [f (ζ )R(ζ ; T )dζ ], where R(ζ ; T ) = (ζ I − T )−1 for ζ ∈ ρ(T ) := L \ σ(T ) and the antiderivative is supposed to be convergent in the strong operator topology sence, that is, ∂ΩP n [f (ζ )R(ζ ; T )ydζ ] converges for each y ∈ Y .
Line antiderivations over local fields and their applications
If fk converges to f uniformly on W , then fn (T ) converges to f (T ) uniformly on each total ly bounded subset in Y .
Line antiderivations over local fields and their applications
The notion of convergence on the space of trees with edge-length is the usual convergence for the product topology, so tn → t if both trees have the same discrete structures for all sufficiently large n, and the vector of edge-lengths of tn converges to that of t.
Weak convergence of random p-mappings and the exploration process of inhomogeneous continuum random trees
Except for the last sentence, point (iii) is a consequence of [5, Proposition 7] which states that the convergence of marginals of p-trees to that of the limiting ICRT [2, Proposition 1 and (23)] is equivalent to the ∗-convergence of the rescaled walk σ(pn )H pn with weights wn = pn to H θ .
Weak convergence of random p-mappings and the exploration process of inhomogeneous continuum random trees
We use Theorem 2 and Skorokhod’s representation theorem, so we suppose that the convergence of σ(pn )H pn → H θ (either in ∗-topology or Skorokhod topology according to the hypotheses) is almost-sure, as well as the convergence of Spn , Swn , Sqn to the identity.
Weak convergence of random p-mappings and the exploration process of inhomogeneous continuum random trees
Finally we consider a future problem on the total variation convergence and weak convergence.
Temporal Fluctuations of Continuous-Time Quantum Random Walks on Circles
We should remark that the total variation convergence is stronger than weak convergence.
Temporal Fluctuations of Continuous-Time Quantum Random Walks on Circles
It suffices by Lemma 2.1 to show that any Cauchy sequence in T converges to some compact metric space, or, equivalently, any Cauchy sequence in T has a subsequence that converges to some metric space.
Rayleigh processes, real trees, and root growth with re-grafting
By part (ii) of Lemma 2.6, Rη (T ′ ) converges to Rη (T ) as (T ′ , ρ′ ) converges to (T , ρ), and so it suffices to establish (6.36) when (T , ρ) and (T ′ , ρ′ ) are finite trees, and so we will suppose this for the rest of the proof.
Rayleigh processes, real trees, and root growth with re-grafting
It therefore suffices to give a bound on dW (Pt ((S, ρ), ·), Pt ((S ′ , ρ), ·)) that only depends on ε and converges to zero as ε converges to 0.
Rayleigh processes, real trees, and root growth with re-grafting
By standard results this power series converges absolutely for all z ∈ C, and converges uniformly on bounded subsets of C.
Elements of harmonic analysis, 2
If T is continuous in some norm and the sequence 12n converges in the same norm, then 12n+1 converges and the limits are U and L respectively.
Dynamics of exponential linear map in functional space
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