# rounding

## Definitions

• SWINGING ROUND A CURVE
• WordNet 3.6
• n rounding (mathematics) a miscalculation that results from rounding off numbers to a convenient number of decimals "the error in the calculation was attributable to rounding","taxes are rounded off to the nearest dollar but the rounding error is surprisingly small"
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"He steered his balloon round the Eiffel Tower."
Paring a Corner Round
A small group gather round a cauldron in the woods
Round Church in the IXth Century, Aix-la-Chapelle
Brushes.—Red Sable, Round
Brushes.—Round Bristle
Brushes.—Round Pointed
THE BRITISH BOARDING 'ROUND

Webster's Revised Unabridged Dictionary
• Interesting fact: The chances of making two holes-in-one in a round of golf are one in 67 million
• Rounding (Phonetics) Modifying a speech sound by contraction of the lip opening; labializing; labialization. See Guide to Pronunciation, § 11.
• a Rounding Round or nearly round; becoming round; roundish.
• Rounding (Naut) Small rope, or strands of rope, or spun yarn, wound round a rope to keep it from chafing; -- called also service.
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Century Dictionary and Cyclopedia
• Interesting fact: Brazil got its name from the nut, not the other way round.
• n rounding In bookbinding, the operation of shaping the folded and sewed sheets into a slightly convex form at the back. It is done either by hand-tools or by machinery.
• n rounding The action or attitude of a whale when curving its small in order to dive. Also rounding-out.
• n rounding Nautical, old rope or strands wound about a rope to prevent its chafing.
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Chambers's Twentieth Century Dictionary
• Interesting fact: The Catholic Church only declared in 1992 that the earth may go round the sun.
• Rounding in bookbinding, the shaping the folded and sewed sheets into a convex form at the back
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## Quotations

• Ivy Baker
“The world is round and the place which may seem like the end may also be only the beginning.”
• D. H. Lawrence
“I can't bear art that you can walk round and admire. A book should be either a bandit or a rebel or a man in the crowd.”
• James Thomson
“A little, round, fat, oily man of God.”
• William Shakespeare
“We are such stuff as dreams are made on, and our little life, is rounded with a sleep. [The Tempest]”
• E. Joseph Cossman
“Square meals often make round people.”
• Pierre Teilhard De Chardin
“The world is round so that friendship may encircle it.”

## Idioms

Go round in circles - If people are going round in circles, they keep discussing the same thing without reaching any agreement or coming to a conclusion.
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Let the grass grow round your feet - If you let the grass grow round your feet, you delay doing things instead of taking action.
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Millstone round your neck - A millstone around your neck is a problem that prevents you from doing what you want to do.
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Round the bend - If someone has gone round the bend, they have stopped being rational about something. If something drives you round the bend, it irritates you or makes you angry.
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Round the houses - If you go round the houses, you do something in an inefficient way when there is a quicker, more convenient way.
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Square peg in a round hole - If somebody's in a situation, organisation, etc, where they don't fit in and feel out of place, they are a square peg in a round hole.
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## Etymology

Chambers's Twentieth Century Dictionary
O. Fr. roond (Fr. rond)—L. rotundusrota, a wheel.

## Usage

### In literature:

A crowd had by this time assembled round the spot where Fink was holding his companion in his arms and exhorting him to recover himself.
"Debit and Credit" by Gustav Freytag
The round clock behind the bar ticked loudly, ominously.
"Overland Red" by Henry Herbert Knibbs
What does this mark round his throat mean?
"Jack Haydon's Quest" by John Finnemore
No, round and round they rolled.
"Childhood's Favorites and Fairy Stories" by Various
A second, at four miles, was evidently a stronger bird, for it flew vigorously round and round, gradually descending.
"Chatterbox, 1905." by Various
Round and round they went among the other couples.
"The Call of the Blood" by Robert Smythe Hichens
When the halt was called, the men at once crowded round the waggons.
"Through Three Campaigns" by G. A. Henty
With the rest of the extra stitches make purled intakes, knitting two plain rounds after each round with an intake.
"Encyclopedia of Needlework" by Thérèse de Dillmont
After de war set us free my pappy moved us away and I stayed round down there till I got to be a grown woman and married.
"Slave Narratives, Oklahoma" by Various
On piece he wound round its bill, and another round its legs, taking great care not to hurt or injure it in any way.
"On the Banks of the Amazon" by W.H.G. Kingston
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### In poetry:

Wilds he wandered with his staff,
Earth and sky and sea did laugh
"The Sangreal" by George MacDonald
It may be fantasy, I know,
But round that hour of Death
I always found an aroma
On every zephyr's breath.
"The Vesper Chime" by Mary Gardiner Horsford
Yet, as when dies a sound
Its spectre lingers round,
Haply my spent life will
Leave some faint echo still.
"An Autograph" by John Greenleaf Whittier
Let him go weep
O'er his own wounds;
Seraphims will not sleep,
Nor spheres let fall their faithful rounds.
"Charitas Nimia; or, The Dear Bargain" by Richard Crashaw
By the war-cloud and the shout
That shall wrap me round about,
But can never shut thee out,
Fare thee well!
"Farewell" by Sydney Thompson Dobell
Unbroken over swamp and hill
Save where the river cut at will
A pathway to the day.
"Norembega" by John Greenleaf Whittier

### In news:

CINCINNATI, Ohio — Ancilla 's men's soccer team was defeated 7-1 by Cincinnati State Technical on Wednesday in the first round of regional playoffs.
We've rounded up the best online buyers, department store fashion directors, and boutique owners to find out what you should be buying this fall.
Rory McIlroy shot a 5-under 67 Friday and was tied for the lead with Luke Donald and Marc Warren after two rounds of the season-ending Dubai World Championship.
Donald takes first-round lead in season-ending event in Dubai.
The field trip will include an easy, round-trip walk of 1.5 miles.
Rousey defeated Kaufman in the first round via submission.
All that mattered to him was seeing his name atop the leaderboard at the end of the day, leaving him one round away from winning on the PGA Tour for the first time in 30 months.
Get complete round-by-round scoreboards for golfer Daniel Balin on ESPN.com.
Bolanos lost the first bout by eighth-round technical knockout, the second in a thrilling split decision in 1948, and the third by fourth-round TKO, again at Wrigley, with 18,999 watching.
Sometimes you feel like you're in cage going round and round and round.
Round and round it goes, where it will stop nobody knows.
Round and round she goes, where she'll stop, nobody knows.
As many Egyptians vote in another round of presidential elections today, others are gearing up for another round of revolution .
"Round and round the roulette goes Where it stops, nobody knows.".
Boomer Retirement Roundtable Round 1 Round 2 Round 3 Round 4 Round 5 Round 6.
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### In science:

This can be done without giving in with the other properties—both methods generate randomized roundings that admit the same Chernoff bounds as independent randomized rounding.
Randomized Rounding for Routing and Covering Problems: Experiments and Improvements
Comparing the different methods, surprisingly, our experiments generally show that the bitwise randomized rounding approach of (line 3) produced slightly better rounding errors than the tree-based one of (line 2).
Randomized Rounding for Routing and Covering Problems: Experiments and Improvements
While the total complexity of the rounding process becomes O(n2m), as opposed to O(nm) for standard derandomized rounding, the time requirement is small in practice (see Section 3.4).
Randomized Rounding for Routing and Covering Problems: Experiments and Improvements
Returning to the issue of weighted (knapsack) budget constraints, Srinivasan gives a rounding procedure (Lemma 3.1 in ) that approximately preserves the value of a weighted sum of the rounded variables, while guaranteeing negative correlation properties as in the unit-cost case.
Randomized Rounding for Routing and Covering Problems: Experiments and Improvements
To solve the problem, we consider a budget-preserving rounding procedure, as follows. A similar rounding Theorem 1.
Randomized Rounding for Routing and Covering Problems: Experiments and Improvements
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