Simpsonn.¹

Brit.

/ˈsɪm(p)sn/, U.S.

/ˈsɪm(p)s(ə)n/

Origin: From a proper name. Etymon: proper name Simpson.

Etymology: < the name of Thomas Simpson (1710–61), English mathematician, who proposed the rule in 1743 ( Math. Dissertations 109).

attributive and in the genitive. Mathematics. Designating either of two rules associated with Thomas Simpson for estimating the definite integral of a curve by using arcs specified by quadratic or cubic equations to approximate subdivisions of the curve. Simpson's 1/3 rule n. the rule that if n is an even number and x₀, x₁,...,x_n are equally spaced points, then an approximation to the integral of the function f( x ) between x₀ and x_n is given by ^x_n−x₀/ _3n(f(x₀) + 4f(x₁) + 2f(x₂)+ 4f(x₃) + 2f(x₄) + ⋯ + 4f(x_n−1) + f(x_n)). Simpson's 3/8 rule n. the rule that if n is divisible by three, then an approximation to the integral of f (x) between x₀ and x_n is given by ^{3(x_n−x₀)}/ _8n(f(x₀) + 3f(x₁) + 3f(x₂)+2f(x₃) + 3f(x₄) + 3f(x₅) + 2f(x₆) +⋯+ f(x_n)).Simpson's rule is typically used to refer to Simpson's 1/3 rule.Simpson's rules are often used in ship building and in estimating the stability of ships, in which context they are often called Simpson's first rule and Simpson's second rule.

ΘΚΠ

the world > relative properties > number > geometry > curve > [noun] > problem or process relating to

Simpson1847

reciprocation1852

cyclotomy1879

Plateau1911

versine1943

1847 J. F. Heather Treat. Mech. i. v. 79 One of the best methods of determining approximately the area of any plane surface, is by the application of Simpson's formula.

1851 Mechanics' Mag. 3 May 347/2 The former of these gentlemen not long ago published a small work, the sole object of which is to elucidate the application of Simpson's rule to the calculation of the displacement, &c.

1875 B. Williamson Elem. Treat. Integral Calculus (rev. ed.) vii. 196 This and the preceding are commonly called ‘Simpson's rules’ for calculating areas; they were however previously noticed by Newton.

1910 Math. Teacher 2 88 This consideration led to an examination of a number of rules for approximating the area included between two ordinates, a given curve, and the axis of X: A. Simpson's 1/3 rule, or the parabolic rule. B. Simpson's 3/8 rule. C. Weddle's rule.

1961 Motor Boating July 38/2 Simpson's second rule..is used when the base is divided in three (or a multiple of three).

1966 Ann. Math. Statistics 37 481 Imhof..has inverted the characteristic function of U and evaluated it numerically using the trapezoidal and Simpson rules.

1974 Jrnl. Appl. Physics 45 150/2 Using a Simpson approximation for the integral, the equation was solved iteratively.

2011 S. G. Krantz Integral ii. 23 Now we estimate the integral using Simpson's Rule.

This entry has been updated (OED Third Edition, September 2019; most recently modified version published online March 2022).

† simpsonn.²

Origin: From a proper name. Etymon: proper name Simpson.

Etymology: < the surname Simpson, although the semantic motivation is unclear.It has been claimed (see e.g. quots. 1887 at sense 2, 1901 at simpson v.) that a dairyman named Simpson was prosecuted in the 1860s for watering milk, but evidence for this is lacking.

London slang. Obsolete.

1. Water used to adulterate milk. Also: milk which has been watered down.

ΘΚΠ

the world > food and drink > food > food manufacture and preparation > preparation of dairy produce > [noun] > milk straining > water for diluting milk

simpson1871

1871 Pall Mall Gaz. 17 Apr. 9/2 The prosecutor..had a liquid called ‘Simpson’ in his establishment. Simpson was water... He learned the business from the prisoner. He left him to mix the right quantity of Simpson.

1871 Standard 11 May 7/3 He determined that if they annoyed him again he would christen them with ‘Simpson’. On this occasion he called upon his customer at the Union Arms, and the milk was thrown.

1893 Essex County Standard 16 Sept. 2/1 ‘Simpson’ and the Pump were, for once, not responsible.

2. In form Simpson. Used as a mocking name for a milkman.

ΚΠ

1871 Pall Mall Gaz. 11 May 6/2 The defendant, who had been drinking, entered with his milk. Some person called out ‘Simpson’, and the prisoner threw some milk over the people at the bar.

1887 H. Baumann Londinismen 178/2 Simpson, ironisch: Milchmann [nach einem gewissen Simpson, der vor Jahren wegen Milchverfälschung vor Gericht gezogen wurde].

1916 Dairy World 17 July 336/2 Henceforth watered milk was known as ‘Simpson’, while the name so tickled the public ear that it became a popular street saying with which every unfortunate milkman was greeted for a long time.]

Derivatives

simpsonize v. transitive to adulterate (milk) with water.

ΘΚΠ

the world > food and drink > food > food manufacture and preparation > preparation of dairy produce > [verb (transitive)] > adulterate milk with water

simpson1871

simpsonize1871

1871 Echo 13 Dec. 1/3 It was found that the tank from which was drawn the water used in washing the cans, and, it may be, in ‘Simpsonising’ the milk, was in communication with a drain.

1886 Fun 14 Apr. 168/2 It is always some mysterious strangers who chalk and ‘simpsonize’ the lacteal fluid.

This entry has been updated (OED Third Edition, September 2019; most recently modified version published online March 2020).

† simpsonv.

Origin: Formed within English, by conversion. Etymon: simpson n.²

Etymology: < simpson n.² Compare simpsonize vb. at simpson n.² Derivatives.

London slang. Obsolete.

transitive. To dilute (milk) with water; = simpsonize vb. at simpson n.² Derivatives.In quot. 1871 as part of an extended metaphor.

ΘΚΠ

the world > food and drink > food > food manufacture and preparation > preparation of dairy produce > [verb (transitive)] > adulterate milk with water

simpson1871

simpsonize1871

1871 Dark Blue June 511 The paradisiacal milk has been ‘Simpsoned’ with the coldest of cold water by the reception Society has given to the Great International Show which has been [etc.].

1881 Reynold's Newspaper 6 Mar. 4/1 The devout shopkeeper, who, having..Simpsoned his milk, felt his conscience easy.

1901 Notes & Queries 9th Ser. 7 263 To simpson, to adulterate milk by adding water thereto, from a dairyman of this name who in the sixties was prosecuted on this account.

Derivatives

simpsoned adj.

ΚΠ

1871 Sci. Amer. 23 Sept. 197/1 If the milk with which he is supplied contains albumen, it must be badly Simpsoned (the London term for watering).

1904 Illustr. Sporting & Dramatic News 23 Jan. 870/3 The water in this chain of deep pools was the colour of ‘Simpsoned’ milk.

This entry has been updated (OED Third Edition, September 2019).

n.¹1847

n.²1871

v.1871

单词	simpson
释义	Simpsonn.¹ Brit. /ˈsɪm(p)sn/, U.S. /ˈsɪm(p)s(ə)n/ Origin: From a proper name. Etymon: proper name Simpson. Etymology: < the name of Thomas Simpson (1710–61), English mathematician, who proposed the rule in 1743 ( Math. Dissertations 109). attributive and in the genitive. Mathematics. Designating either of two rules associated with Thomas Simpson for estimating the definite integral of a curve by using arcs specified by quadratic or cubic equations to approximate subdivisions of the curve. Simpson's 1/3 rule n. the rule that if n is an even number and x₀, x₁,...,x_n are equally spaced points, then an approximation to the integral of the function f( x ) between x₀ and x_n is given by ^x_n−x₀/ _3n(f(x₀) + 4f(x₁) + 2f(x₂)+ 4f(x₃) + 2f(x₄) + ⋯ + 4f(x_n−1) + f(x_n)). Simpson's 3/8 rule n. the rule that if n is divisible by three, then an approximation to the integral of f (x) between x₀ and x_n is given by ^{3(x_n−x₀)}/ _8n(f(x₀) + 3f(x₁) + 3f(x₂)+2f(x₃) + 3f(x₄) + 3f(x₅) + 2f(x₆) +⋯+ f(x_n)).Simpson's rule is typically used to refer to Simpson's 1/3 rule.Simpson's rules are often used in ship building and in estimating the stability of ships, in which context they are often called Simpson's first rule and Simpson's second rule. ΘΚΠ the world > relative properties > number > geometry > curve > [noun] > problem or process relating to Simpson1847 reciprocation1852 cyclotomy1879 Plateau1911 versine1943 1847 J. F. Heather Treat. Mech. i. v. 79 One of the best methods of determining approximately the area of any plane surface, is by the application of Simpson's formula. 1851 Mechanics' Mag. 3 May 347/2 The former of these gentlemen not long ago published a small work, the sole object of which is to elucidate the application of Simpson's rule to the calculation of the displacement, &c. 1875 B. Williamson Elem. Treat. Integral Calculus (rev. ed.) vii. 196 This and the preceding are commonly called ‘Simpson's rules’ for calculating areas; they were however previously noticed by Newton. 1910 Math. Teacher 2 88 This consideration led to an examination of a number of rules for approximating the area included between two ordinates, a given curve, and the axis of X: A. Simpson's 1/3 rule, or the parabolic rule. B. Simpson's 3/8 rule. C. Weddle's rule. 1961 Motor Boating July 38/2 Simpson's second rule..is used when the base is divided in three (or a multiple of three). 1966 Ann. Math. Statistics 37 481 Imhof..has inverted the characteristic function of U and evaluated it numerically using the trapezoidal and Simpson rules. 1974 Jrnl. Appl. Physics 45 150/2 Using a Simpson approximation for the integral, the equation was solved iteratively. 2011 S. G. Krantz Integral ii. 23 Now we estimate the integral using Simpson's Rule. This entry has been updated (OED Third Edition, September 2019; most recently modified version published online March 2022). † simpsonn.² Origin: From a proper name. Etymon: proper name Simpson. Etymology: < the surname Simpson, although the semantic motivation is unclear.It has been claimed (see e.g. quots. 1887 at sense 2, 1901 at simpson v.) that a dairyman named Simpson was prosecuted in the 1860s for watering milk, but evidence for this is lacking. London slang. Obsolete. 1. Water used to adulterate milk. Also: milk which has been watered down. ΘΚΠ the world > food and drink > food > food manufacture and preparation > preparation of dairy produce > [noun] > milk straining > water for diluting milk simpson1871 1871 Pall Mall Gaz. 17 Apr. 9/2 The prosecutor..had a liquid called ‘Simpson’ in his establishment. Simpson was water... He learned the business from the prisoner. He left him to mix the right quantity of Simpson. 1871 Standard 11 May 7/3 He determined that if they annoyed him again he would christen them with ‘Simpson’. On this occasion he called upon his customer at the Union Arms, and the milk was thrown. 1893 Essex County Standard 16 Sept. 2/1 ‘Simpson’ and the Pump were, for once, not responsible. 2. In form Simpson. Used as a mocking name for a milkman. ΚΠ 1871 Pall Mall Gaz. 11 May 6/2 The defendant, who had been drinking, entered with his milk. Some person called out ‘Simpson’, and the prisoner threw some milk over the people at the bar. 1887 H. Baumann Londinismen 178/2 Simpson, ironisch: Milchmann [nach einem gewissen Simpson, der vor Jahren wegen Milchverfälschung vor Gericht gezogen wurde]. 1916 Dairy World 17 July 336/2 Henceforth watered milk was known as ‘Simpson’, while the name so tickled the public ear that it became a popular street saying with which every unfortunate milkman was greeted for a long time.] Derivatives simpsonize v. transitive to adulterate (milk) with water. ΘΚΠ the world > food and drink > food > food manufacture and preparation > preparation of dairy produce > [verb (transitive)] > adulterate milk with water simpson1871 simpsonize1871 1871 Echo 13 Dec. 1/3 It was found that the tank from which was drawn the water used in washing the cans, and, it may be, in ‘Simpsonising’ the milk, was in communication with a drain. 1886 Fun 14 Apr. 168/2 It is always some mysterious strangers who chalk and ‘simpsonize’ the lacteal fluid. This entry has been updated (OED Third Edition, September 2019; most recently modified version published online March 2020). † simpsonv. Origin: Formed within English, by conversion. Etymon: simpson n.² Etymology: < simpson n.² Compare simpsonize vb. at simpson n.² Derivatives. London slang. Obsolete. transitive. To dilute (milk) with water; = simpsonize vb. at simpson n.² Derivatives.In quot. 1871 as part of an extended metaphor. ΘΚΠ the world > food and drink > food > food manufacture and preparation > preparation of dairy produce > [verb (transitive)] > adulterate milk with water simpson1871 simpsonize1871 1871 Dark Blue June 511 The paradisiacal milk has been ‘Simpsoned’ with the coldest of cold water by the reception Society has given to the Great International Show which has been [etc.]. 1881 Reynold's Newspaper 6 Mar. 4/1 The devout shopkeeper, who, having..Simpsoned his milk, felt his conscience easy. 1901 Notes & Queries 9th Ser. 7 263 To simpson, to adulterate milk by adding water thereto, from a dairyman of this name who in the sixties was prosecuted on this account. Derivatives simpsoned adj. ΚΠ 1871 Sci. Amer. 23 Sept. 197/1 If the milk with which he is supplied contains albumen, it must be badly Simpsoned (the London term for watering). 1904 Illustr. Sporting & Dramatic News 23 Jan. 870/3 The water in this chain of deep pools was the colour of ‘Simpsoned’ milk. This entry has been updated (OED Third Edition, September 2019). < n.¹1847n.²1871v.1871
随便看	to throw aside to throw at all to throw at one's heels to throw away to throw away the key to throw away the scabbard to throw back to throw bouquets to throw by to throw cast a stone or stones to throw cast a stone or stones at to throw caution to the wind to throw caution to the winds to throw chuck one's weight about or around to throw chuck, in the towel to throw cold water on to throw death to throw discredit on to throw discredit upon to throw down to throw down one's arms to throw down one's brief to throw down one's etc to throw down one's weapons to throw down the gauntlet

Simpsonn.1

† simpsonn.2

Derivatives

† simpsonv.

Derivatives

Simpsonn.¹

† simpsonn.²