quotientn.

Brit.

/ˈkwəʊʃnt/, U.S.

/ˈkwoʊʃ(ə)nt/

Forms: late Middle English quocient, late Middle English quocyens, 1500s quotyent, 1500s–1600s quotiente, 1500s– quotient.

Origin: A borrowing from Latin. Etymon: Latin quotiens.

Etymology: < classical Latin quotiens, quotiēs how many times, how often ( < quot how many (see quota n.) + -iēs , suffix forming adverbs), with final -t (in English) by association with Latin present participial stems in -ent- (see -ent suffix). Compare Middle French quotiens (1484; French quotient ), Spanish cociente (c1527; also †quociente ), Italian quoziente (1533), and also Middle Low German quocient , quotient , German Quotient (second half of the 15th cent.; c1400 in Latinate form quociens ). With sense 2a compare slightly later quotum n.

1. Mathematics. The result obtained by dividing one quantity by another; the number of times one number is contained in another, as ascertained by division.educational, intelligence, photosynthetic quotient, etc.: see the first element.

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > [noun] > division > result of

quotientc1450

reduct1579

quote1667

c1450 Art Nombryng in R. Steele Earliest Arithm. in Eng. (1922) 44 The nombre that shewith þe quocient.

1465–6 in Manners & Househ. Expenses Eng. (1841) 439 Owt of that nowmber take as many tymes clx as ye may, beyinge for every tyme a quocyens.

1543 R. Record Ground of Artes i. sig. J.vi I take 3 as a true quotyent, and write it within the crokyd lyne of the quotyent.

1581 W. Borough Discours Variation Cumpas v. sig. C.iv The product diuide by the sine of the complement of the declination..the quotient is the versed sine.

1614 W. Bedwell De Numeris Geometricis i. 8 The quotients of 60, by 1, 2, 3,..are 60, 30, 20.

1695 W. Alingham Geom. Epitomiz'd 73 If..I divide 54 by 3 the quotient is 18.

1728 E. Chambers Cycl. at Division For 3 being only contain'd twice in 8, the last Number in the Quotient will be 2.

1793 Philos. Trans. (Royal Soc.) 83 167 654 divided by 327, will give 2 for the quotient.

1840 D. Lardner Treat. Geom. 124 Multiply b by c and divide the product by a, and the quotient will be d.

1884 A. Paul Hist. Reform ii. 29 The total was to be divided by 558, and the quotient to be deemed the proportion of voters entitled to elect one member.

1967 Appraisal Terminol. & Handbk. (Amer. Inst. Real Estate Appraisers) (ed. 5) 51 Cubic Foot Cost—The quotient of the cost of a building divided by the number of cubic feet within the outer wall surfaces.

1987 Antiquaries Jrnl. 67 272 The quotient K₂O/Al₂O₃ tends to vary directly as the silica percentage.

†2.

a. A proportion, a share; = quotum n. Obsolete. rare.

ΘΚΠ

the world > relative properties > quantity > [noun] > some, any, or indefinite amount > as related to amount of which it is part

portionc1390

parcel1483

quota pars1606

quotity1613

quota1618

quotient1621

quotum1627

1621 R. Montagu Diatribæ Hist. Tithes 511 The first of their Apples were offered to other gods: and for the quotient, it was a Tenth.

1641 H. L'Estrange Gods Sabbath 63 The fourth Commandment..declareth also his will concerning the quotient..so that one [day] in a week he must have.

b. Number, total. Obsolete. rare.

ΘΚΠ

the world > relative properties > number > enumeration, reckoning, or calculation > [noun] > result, sum

telc1000

tale?c1225

tailc1330

reckoningc1392

suma1400

aggregatec1443

count1483

sum total1549

total1557

computation1586

calculation1646

quotient1659

tally1674

amount1751

tot1755

summation1841

1659 T. Pecke Parnassi Puerperium 82 God is but One. Hells Quotient, none assign.

3. With preceding word or phrase: the degree to which the specified quality or characteristic is present.

ΚΠ

1935 Fresno (Calif.) Bee 14 June 6 b/1 The failure of Napoleon she attributed in part to lack of sanitary control, and a consequent high disease quotient in his armies.

1989 Motor Trend Mar. 51 We..feel strongly about a vehicle's fun-to-drive quotient; so much so that we have a fun-to-drive category in our Car of the Year scoring procedure.

2001 Daily Tel. 17 Oct. 23/7 When Lely departs the scene in the latter stages of this exhibition, the sauciness quotient drops.

Compounds

quotient figure n. Mathematics a number that is a quotient; a number obtained by dividing one number by another.

ΚΠ

1661 W. Jackson Introd. First Grounds Arithmetick (new ed.) 37 Multiplying the said quotient figure by the divisor.

1707 J. Ward Young Mathematician's Guide i. ii. 23 The Quotient Figure must be such as being Multiplied into the Divisor.

1811 R. Goodacre Arithm. adapted to Classes (ed. 4) 51 When..the remainder is more than the divisor, the quotient figure was too small.

1959 Elem. School Jrnl. 60 167/1 Two classes of pupils..were taught one method, and two other classes were taught a different method of estimating the quotient figure.

quotient group n. Mathematics = factor group n. at factor n. Compounds 2.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > in abstract algebra > groups

syntheme1844

group1854

substitution group1861

quaternion group1881

subgroup1881

Abelian group1892

permutation group1893

quotient group1893

factor group1895

order1897

symmetric group1897

point group1903

Sylow subgroup1905

module1927

Lie group1939

symmetry group1956

Weyl group1961

stabilizer1965

1893 Bull. N.Y. Math. Soc. 3 74 The quotient-group of any two consecutive groups in the series of composition of any group is a simple group.

1958 R. V. Andree Sel. Mod. Abstr. Algebra iv. 101 The order of the quotient group is the order of G divided by the order of H, providing G is finite.

1990 Glasgow Math. Jrnl. 32 266 The form of this proof is fairly typical. One reduces to the case where an automorphism operates trivially first on a quotient group, and then on the associated normal subgroup.

quotient line n. Mathematics a line used in the representation of a quotient; esp. one separating the divisor and the dividend.

ΚΠ

1557 R. Record Whetstone of Witte sig. Kii The roote .2. I sette behind the quotiente line.

1734 T. Hill Pract. Gauging Improved 24 The Figures being set down and [the] Quotient Line drawn as in Division, [etc.].

1970 Proc. National Acad. Sci. U.S.A. 66 1306 A quotient line was omitted from the asterisked footnote to Table I.

quotient number n. now rare = quotient figure n.

ΚΠ

c1450 Art Nombryng in R. Steele Earliest Arithm. in Eng. (1922) 44 Above þat figure..me most sette a cifre in ordre of the nombre quocient.

1543 R. Record Ground of Artes f. 62^v I make a croked lyne at the ryght hande of the nombres, and within it I sette 1, and that is called the quotient nombre.

1639 R. Ward Animadversions of Warre i. iv. l. 130 Which last quotient being likewise divided by 360, the degrees contained in the whole Circumference of every Circle, the last quotient Number, will demonstrate the number of Inches..that will make a degree in the quadrant for that Peece.

1997 Environmental Health Perspectives 105 Suppl. No. 4. 105 (caption) Ability..to cause nicks in rat alveolar macrophage DNA, expressed as the damage quotient number.

quotient ring n. Mathematics a ring R/K, the elements of which are the cosets in a given ring R of an ideal K of R.

ΚΠ

1935 Ann. Math. 36 984 The quotient-ring K/N, where N is the radical of K, is semi-simple.

1965 E. M. Patterson & D. E. Rutherford Elem. Abstr. Algebra iii. 101 S is an ideal in the ring R... The set of all cosets of S in R is a ring:..this is called the..quotient ring of R by S.

1992 G. Ellis Rings & Fields Pref. p. vi Ring homomorphisms and quotient rings are dealt with in the exercises.

† quotient representation n. Obsolete rare. = proportional representation n. at proportional n. and adj. Compounds.

ΚΠ

1889 Universal Rev. 7 Jan. Equal electoral districts, quotient representation of the population,..are a deduction from the democratic principle.

This entry has been updated (OED Third Edition, June 2008; most recently modified version published online March 2022).

单词	quotient
释义	quotientn. Brit. /ˈkwəʊʃnt/, U.S. /ˈkwoʊʃ(ə)nt/ Forms: late Middle English quocient, late Middle English quocyens, 1500s quotyent, 1500s–1600s quotiente, 1500s– quotient. Origin: A borrowing from Latin. Etymon: Latin quotiens. Etymology: < classical Latin quotiens, quotiēs how many times, how often ( < quot how many (see quota n.) + -iēs , suffix forming adverbs), with final -t (in English) by association with Latin present participial stems in -ent- (see -ent suffix). Compare Middle French quotiens (1484; French quotient ), Spanish cociente (c1527; also †quociente ), Italian quoziente (1533), and also Middle Low German quocient , quotient , German Quotient (second half of the 15th cent.; c1400 in Latinate form quociens ). With sense 2a compare slightly later quotum n. 1. Mathematics. The result obtained by dividing one quantity by another; the number of times one number is contained in another, as ascertained by division.educational, intelligence, photosynthetic quotient, etc.: see the first element. ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > [noun] > division > result of quotientc1450 reduct1579 quote1667 c1450 Art Nombryng in R. Steele Earliest Arithm. in Eng. (1922) 44 The nombre that shewith þe quocient. 1465–6 in Manners & Househ. Expenses Eng. (1841) 439 Owt of that nowmber take as many tymes clx as ye may, beyinge for every tyme a quocyens. 1543 R. Record Ground of Artes i. sig. J.vi I take 3 as a true quotyent, and write it within the crokyd lyne of the quotyent. 1581 W. Borough Discours Variation Cumpas v. sig. C.iv The product diuide by the sine of the complement of the declination..the quotient is the versed sine. 1614 W. Bedwell De Numeris Geometricis i. 8 The quotients of 60, by 1, 2, 3,..are 60, 30, 20. 1695 W. Alingham Geom. Epitomiz'd 73 If..I divide 54 by 3 the quotient is 18. 1728 E. Chambers Cycl. at Division For 3 being only contain'd twice in 8, the last Number in the Quotient will be 2. 1793 Philos. Trans. (Royal Soc.) 83 167 654 divided by 327, will give 2 for the quotient. 1840 D. Lardner Treat. Geom. 124 Multiply b by c and divide the product by a, and the quotient will be d. 1884 A. Paul Hist. Reform ii. 29 The total was to be divided by 558, and the quotient to be deemed the proportion of voters entitled to elect one member. 1967 Appraisal Terminol. & Handbk. (Amer. Inst. Real Estate Appraisers) (ed. 5) 51 Cubic Foot Cost—The quotient of the cost of a building divided by the number of cubic feet within the outer wall surfaces. 1987 Antiquaries Jrnl. 67 272 The quotient K₂O/Al₂O₃ tends to vary directly as the silica percentage. †2. a. A proportion, a share; = quotum n. Obsolete. rare. ΘΚΠ the world > relative properties > quantity > [noun] > some, any, or indefinite amount > as related to amount of which it is part portionc1390 parcel1483 quota pars1606 quotity1613 quota1618 quotient1621 quotum1627 1621 R. Montagu Diatribæ Hist. Tithes 511 The first of their Apples were offered to other gods: and for the quotient, it was a Tenth. 1641 H. L'Estrange Gods Sabbath 63 The fourth Commandment..declareth also his will concerning the quotient..so that one [day] in a week he must have. b. Number, total. Obsolete. rare. ΘΚΠ the world > relative properties > number > enumeration, reckoning, or calculation > [noun] > result, sum telc1000 tale?c1225 tailc1330 reckoningc1392 suma1400 aggregatec1443 count1483 sum total1549 total1557 computation1586 calculation1646 quotient1659 tally1674 amount1751 tot1755 summation1841 1659 T. Pecke Parnassi Puerperium 82 God is but One. Hells Quotient, none assign. 3. With preceding word or phrase: the degree to which the specified quality or characteristic is present. ΚΠ 1935 Fresno (Calif.) Bee 14 June 6 b/1 The failure of Napoleon she attributed in part to lack of sanitary control, and a consequent high disease quotient in his armies. 1989 Motor Trend Mar. 51 We..feel strongly about a vehicle's fun-to-drive quotient; so much so that we have a fun-to-drive category in our Car of the Year scoring procedure. 2001 Daily Tel. 17 Oct. 23/7 When Lely departs the scene in the latter stages of this exhibition, the sauciness quotient drops. Compounds quotient figure n. Mathematics a number that is a quotient; a number obtained by dividing one number by another. ΚΠ 1661 W. Jackson Introd. First Grounds Arithmetick (new ed.) 37 Multiplying the said quotient figure by the divisor. 1707 J. Ward Young Mathematician's Guide i. ii. 23 The Quotient Figure must be such as being Multiplied into the Divisor. 1811 R. Goodacre Arithm. adapted to Classes (ed. 4) 51 When..the remainder is more than the divisor, the quotient figure was too small. 1959 Elem. School Jrnl. 60 167/1 Two classes of pupils..were taught one method, and two other classes were taught a different method of estimating the quotient figure. quotient group n. Mathematics = factor group n. at factor n. Compounds 2. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > in abstract algebra > groups syntheme1844 group1854 substitution group1861 quaternion group1881 subgroup1881 Abelian group1892 permutation group1893 quotient group1893 factor group1895 order1897 symmetric group1897 point group1903 Sylow subgroup1905 module1927 Lie group1939 symmetry group1956 Weyl group1961 stabilizer1965 1893 Bull. N.Y. Math. Soc. 3 74 The quotient-group of any two consecutive groups in the series of composition of any group is a simple group. 1958 R. V. Andree Sel. Mod. Abstr. Algebra iv. 101 The order of the quotient group is the order of G divided by the order of H, providing G is finite. 1990 Glasgow Math. Jrnl. 32 266 The form of this proof is fairly typical. One reduces to the case where an automorphism operates trivially first on a quotient group, and then on the associated normal subgroup. quotient line n. Mathematics a line used in the representation of a quotient; esp. one separating the divisor and the dividend. ΚΠ 1557 R. Record Whetstone of Witte sig. Kii The roote .2. I sette behind the quotiente line. 1734 T. Hill Pract. Gauging Improved 24 The Figures being set down and [the] Quotient Line drawn as in Division, [etc.]. 1970 Proc. National Acad. Sci. U.S.A. 66 1306 A quotient line was omitted from the asterisked footnote to Table I. quotient number n. now rare = quotient figure n. ΚΠ c1450 Art Nombryng in R. Steele Earliest Arithm. in Eng. (1922) 44 Above þat figure..me most sette a cifre in ordre of the nombre quocient. 1543 R. Record Ground of Artes f. 62^v I make a croked lyne at the ryght hande of the nombres, and within it I sette 1, and that is called the quotient nombre. 1639 R. Ward Animadversions of Warre i. iv. l. 130 Which last quotient being likewise divided by 360, the degrees contained in the whole Circumference of every Circle, the last quotient Number, will demonstrate the number of Inches..that will make a degree in the quadrant for that Peece. 1997 Environmental Health Perspectives 105 Suppl. No. 4. 105 (caption) Ability..to cause nicks in rat alveolar macrophage DNA, expressed as the damage quotient number. quotient ring n. Mathematics a ring R/K, the elements of which are the cosets in a given ring R of an ideal K of R. ΚΠ 1935 Ann. Math. 36 984 The quotient-ring K/N, where N is the radical of K, is semi-simple. 1965 E. M. Patterson & D. E. Rutherford Elem. Abstr. Algebra iii. 101 S is an ideal in the ring R... The set of all cosets of S in R is a ring:..this is called the..quotient ring of R by S. 1992 G. Ellis Rings & Fields Pref. p. vi Ring homomorphisms and quotient rings are dealt with in the exercises. † quotient representation n. Obsolete rare. = proportional representation n. at proportional n. and adj. Compounds. ΚΠ 1889 Universal Rev. 7 Jan. Equal electoral districts, quotient representation of the population,..are a deduction from the democratic principle. This entry has been updated (OED Third Edition, June 2008; most recently modified version published online March 2022). < n.c1450
随便看	tresget tresgrand tresgressor tresillo tresmountain tresnoble trespass trespass act trespass money trespass on the case trespass to goods trespass to land trespass to person trespass-board trespass-chiding trespass-fine trespass-offering trespassable trespassage trespassant trespassboard trespasschiding trespassed trespassement trespasser