Ruth tells her mother-in-law of Boaz's kindness, and she gleans in his field through the remainder of the harvest season.

It is used to solve Diophantine equations, such as finding numbers that satisfy multiple congruences ( Chinese remainder theorem ) or multiplicative inverses of a finite field.

The new instructions included some minor improvements and extensions to the supervisor state, several instructions for software management of a multiprocessing system ( which were removed in the 68060 ), some support for high-level languages which did not get used much ( and was removed from future 680x0 processors ), bigger multiply ( 32 × 32 → 64 bits ) and divide ( 64 ÷ 32 → 32 bits quotient and 32 bits remainder ) instructions, and bit field manipulations.

This follows from the Chinese remainder theorem and the fact that a ring of the form Z / kZ is a field if and only if k is a prime.

This polynomial resembles the divisor in a polynomial long division, which takes the message as the dividend and in which the quotient is discarded and the remainder becomes the result, with the important distinction that the polynomial coefficients are calculated according to the carry-less arithmetic of a finite field.

Fifty thousand made for the place of battle, the remainder abiding at the Castle ; both field and Castle they thought to conquer at their will.

The remainder of the album was recorded at Whitney Studios, with some field recordings made at the house.

* Larger multiply ( 32 × 32 -> 64 bits ) and divide ( 64 ÷ 32 -> 32 bits quotient and 32 bits remainder ) instructions, and bit field manipulations.

To this field he determined to devote the remainder of his life.

It takes its name from Captain Martin Becher who fell there in the first Grand National and took shelter in the small brook running along the landing side of the fence while the remainder of the field thundered over.

He moved to left field and batted. 348 and stole 38 bases for the remainder of the 1964 season.

The remainder of the missing were probably the wounded or dead left on the field after Ripley withdrew ".

In April 1776, the Main Army moved from Boston to New York, and became the field army associated with the Middle Department for the remainder of the war.

The remainder of the field ambulance, comprising the headquarters with two surgical teams, would be co-located with the brigade and establish their main dressing station in farm buildings to the south of the bridge.

During normal operation, an antenna emits electromagnetic fields into the surrounding nearfield region, and a portion of the field energy is reabsorbed, while the remainder is radiated as EM waves.

Likewise, if a pinch-hitter bats for some other player ( such as, hypothetically, the first baseman ) and then remains in the game as the pitcher, the team would forfeit the use of the DH for the remainder of the game, and the player who was serving as the designated hitter would have to assume a field position ( in this hypothetical, play first base save, of course, for switching defensive positions with a teammate.

Newly developed rifled artillery would no longer be placed in the rear of the order of march for employment behind the infantry ; instead, a significant detachment would travel with the advanced guard of the leading corps or other major element, and the remainder would march with the front of the main body, providing immediate artillery coverage of the advanced guard on contact and of the main body during subsequent deployment on the field.

Schuyler had already lost his command to Horatio Gates by the time of the court martial, and St. Clair held no more field commands for the remainder of the war.

As Kearny's other two brigades arrived on the field, Birney used the reinforcements as a rear guard as he withdrew the remainder of the Union force to the southern side of the farm fields, ending the battle.

Initially a revival of NBC's Dimension X ( 1950 – 51 ), the first 15 episodes of X Minus One were new versions of Dimension X episodes, but the remainder were adaptations by NBC staff writers, including Ernest Kinoy and George Lefferts, of newly published science fiction stories by leading writers in the field, including Isaac Asimov, Ray Bradbury, Philip K. Dick, Robert A. Heinlein, Frederik Pohl and Theodore Sturgeon, along with some original scripts by Kinoy and Lefferts.

( It acquired the remainder of the field gradually over the next 15 years ).

The remainder of the phase comprised patrolling during field training exercises —" reconnaissance, raid, or ambush missions ".

She spends the remainder of her life as a field hand on the Lea plantation in North Carolina.

Amongst the frontline troops of the combatant powers in August 1914 only the Belgian and French armies saw active service in bright colours and old fashioned headgear ( although the Austro-Hungarian cavalry retained their blue and red uniforms for field wear after the remainder of the army had gone into pike grey in 1909 ).

The intuition about mankind conveyed in these opening pages is of crucial importance for understanding the remainder of the text ; ;

It is difficult to tabulate exactly what was meant in each individual situation, but the conclusion may be drawn that 21 towns do not assess movable personal property, and of the remainder only certain types are valued for tax purposes.

The Russian experimenters claim that only a small fraction of the impulse from the sensors is caused by the incident momentum with the remainder being momentum of ejected material from the sensor.

The major part of this collection is in the central headquarters building, and the remainder is divided among five libraries in the system designated as subject centers.

And to " measure " is to place a shorter measuring length s successively ( q times ) along longer length l until the remaining portion r is less than the shorter length s. In modern words, remainder r = l − q * s, q being the quotient, or remainder r is the " modulus ", the integer-fractional part left over after the division.

The remainder of the book is a collection of essays on the game, statistics for the new characters and an update of the older ones in light of their appearance in the second series, and ( perhaps most usefully for GMs ) plot summaries of each of the ten books.

In the remainder of this region, the southern portion, the most prominent feature is Little Mountain, extending about from east to west between two valleys, and rising precipitously on the north side above them or above the sea.

The remainder of the state is occupied by the Coastal Plain.

Similar to the view of Leopold Kronecker that " God made the integers ; all else is the work of man ," musicians drawn to the alphorn and other instruments that sound the natural harmonics, such as the natural horn, consider the notes of the natural harmonic series — particularly the 7th and 11th harmonics — to be God's Notes, the remainder of the chromatic scale enabled by keys, valves, slides and other methods of changing the qualities of the simple open pipe being an artifact of mere mortals.

The remainder of this article is about the carbonyl-nitrogen sense of amide.

The first half is based mainly on the Soliloquies of St Augustine of Hippo, the remainder is drawn from various sources, and contains much that is Alfred's own and highly characteristic of him.

Of the rest of the land, 55. 2 % is settled ( buildings or roads ) and the remainder ( 4. 5 %) is non-productive ( rivers or lakes ).

The clouds which strike Kathiawar and Kutch are deprived of a great deal of their moisture by the hills in those countries ( now the majority of this region is in Gujarat state within independent India ), and the greater part of the remainder is deposited on Mount Abu and the higher slopes of the Aravalli Range, leaving but little for Merwara, where the hills are lower, and still less for Ajmer.

For example, an estate is granted to A for life, with remainder to the heir of B.

During B's lifetime, the remainder is in abeyance, for until the death of B it is uncertain who is B's heir.

Several things were notable about this battle, in which Charles set the pattern for the remainder of his military career: first, he appeared where his enemies least expected him, while they were marching triumphantly home and far outnumbered him.

* The ring of p-adic integers is the inverse limit of the rings Z / p < sup > n </ sup > Z ( see modular arithmetic ) with the index set being the natural numbers with the usual order, and the morphisms being " take remainder ".

The production set a pattern for the remainder of his theatrical output, most of which can be considered as 20th century reworkings of stock characters and situations from the Italian traditional Commedia dell ' arte.

#: Is set to the remainder of integer division.

For the remainder of this article, " symmetric group " will mean a symmetric group on a finite set.

The remainder of the game is set in 2000.

* Raoul Walsh was set to direct and star as the Cisco Kid in this film, but had to abandon the project when a jackrabbit jumped through a windshield of a vehicle he was driving and cost Walsh an eye, after which he wore an eyepatch for the remainder of his life.

The additions included a fine set of Dutch-gabled buildings backing onto the River Cam, and a ' window-with-nothing-behind-it ' that was designed to solve the problem of connecting the windowed library with the remainder of the court.

However the others set up a surgery to treat the native islanders and Rivers, lying in bed next-door tested the patients for colour vision: Haddon's diary noted " He is getting some interesting results .” The warmth shown to the sickly Rivers by the Islanders contributed to strong positive feelings for the work and a deep concern for the welfare of Melanesians during the remainder of his life .”

Lone Starr's costume is intentionally misplaced, resembling a Colonial Warrior from Battlestar Galactica and Ford's Indiana Jones costume ( he is seen wearing a cowboy hat in his first scene, which is set aside and not seen for the remainder of the film ) rather than that of Han Solo or Luke Skywalker.

Peter's example set a precedent for the remainder of the 18th century as Russian writers began to form clear ideas about the proper use and progression of the Russian language.

It also showed a 7 to 10 percent range of reduction in driving with respect to the remainder six neighbourhood layouts in the set, an environmental benefit.

The culmination of her work was the Bill for the Benefit of the Indigent Insane, legislation to set aside of Federal land ( for the benefit of the insane and the remainder for the " blind, deaf, and dumb "), with proceeds from its sale distributed to the states to build and maintain asylums.

The remainder were pardoned and set free, most likely because Richard, who saw a potential threat to his own source of income, intervened on their behalf with his brother.

With the permission of Hulegu, Juvayni explored the library and selected a few works he deemed worthy of salvaging, before the remainder was set aflame.

After the U. S. Marines set up headquarters in Baghdad's Palestine Hotel, George said he went there to plead for troops to protect the remainder of the Museum collection, but no guards were sent for another three days.

5 Oct. 2008 < http :// www. ci. green-bay. wi. us / geninfo / history_o. html ></ ref > These early French settlers set the tone for the remainder who came to the area.

In December 1803 he was arrested by order of the Privy Council and promptly released on bail set at £ 40, 000 ( Picton was able to give surety for half of this ; two West Indies plantation owners covered the remainder ).

Alternatively, we may use just the last two equations given for the compositional property of the solvent in each of the preceding sections, together with the relationships given below, to derive the remainder of properties in that set:

Each season's episodes were arranged so that main actor Fred MacMurray could film all of his scenes during two separate intensive blocks of filming for a total of 65 working days on the set ; Frawley and the other actors worked around the absent MacMurray for the remainder of the year's production schedule.

The key to fast algorithms like Bruun's or Cooley – Tukey comes from the fact that one can perform this set of N remainder operations in recursive stages.

The same performance of the 1976 Adagio was incorporated with the 1980 recording of the remainder in a different 2 Lp set, with no apparent differences in sound quality.

Edward VII had the Cullinan I and Cullinan II set respectively into the Sceptre with the Cross and the Imperial State Crown, while the remainder of the seven larger stones and the 96 smaller brilliants remained in the possession of the Dutch diamond cutting firm of Messers I. J. Asscher of Amsterdam who had split and cut the Cullinan, until the South African Government bought these stones and the High Commissioner of the Union of South Africa presented them to Queen Mary on June 28, 1910.

A deal was set on 1 April 1976 that would see the remainder of the Down line ripped up if BR's cash demand was not raised.