pivotingn.

Brit.

/ˈpɪvətɪŋ/, U.S.

/ˈpɪvədɪŋ/

Forms: 1700s– pivoting, 1900s– pivotting (rare).

Origin: Formed within English, by derivation. Etymons: pivot n., -ing suffix¹; pivot v., -ing suffix¹.

Etymology: < pivot n. + -ing suffix¹. In later use also partly < pivot v. + -ing suffix¹.

1. The action of pivot v.; an instance of this.

ΘΚΠ

society > occupation and work > equipment > building and constructing equipment > fastenings > [noun] > pin or peg > on which anything turns > act of

pivoting1789

1789 Times 21 Apr. 1/3 Mr. J. Spence..begs leave to inform the Nobility, Gentry, and others, that he makes and puts in Artificial Teeth, but especially recommends to their notice, his various methods of fixing in Human Teeth, by screwing, pivoting, or set[ting] in Gold Sockets, or in Ivory Gums, from a single Tooth to a complete set.

1852 F. Baucher Method Horsemanship (ed. 2) 127 But the ordinary pivoting, or pirouette, being a pretty complicated movement, and a difficult one for the horse, he should not be completely exercised in it until he has acquired the measured time of the walk, and of the trot, and can easily execute the changes of direction.

1885 Lake Shore (Dunkirk, N.Y.) Observer 27 Aug. 4/4 Mr. F. W. Bold has secured a job of pivoting in the Hampton Watch Company.

1967 Encycl. Brit. III. 233/1 He rocks back and forth..before starting the actual pivoting and drawing back of the pitching arm for the throw.

1997 G. S. Helfman et al. Diversity of Fishes viii. 105/1 Low-speed manoeuvrability can also be achieved with a highly compressed (laterally flattened), short body that facilitates pivoting.

2. Bridge. The practice of changing partners systematically after every rubber.

ΚΠ

1921 F. Irwin Compl. Auction Player 2 ‘Pivoting’ is changing partners after every rubber and according to fixed routine.

1937 Appleton (Wisconsin) Post-Crescent 4 Dec. 12/1 Those planning to play contract bridge are to make up their tables for pivoting.

1999 Re: Lehman Snobbery in rec.games.bridge.okbridge (Usenet newsgroup) 21 May To simply ‘swap partners’ and play with them oneself for the night rather defeats the object of arranging to meet one's partner on OKB in the first place, but a pivoting system sounds fun!

3. Mathematics. The use of a pivot (pivot n. 3e) as a means of making a column of a determinant or square matrix consist entirely of zeros except for one unit element, as a step in evaluating the determinant, or in the numerical solution of simultaneous linear equations; the repeated application of this operation, as a means of converting a square matrix or determinant into triangular form (in which all the elements on one side of the principal diagonal are zero); pivotal condensation.complete, partial pivoting: see the first element.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > array > matrix > operation or result of > determinant > non-zero element or use of

pivot1933

pivoting1961

total pivoting1968

1961 Jrnl. Assoc. Computing Machinery 8 282 We derive first an upper bound for R when a general matrix is reduced to triangular form by Gaussian elimination, selecting as pivotal element at each stage the element of maximum modulus in the whole of the remaining square matrix. We refer to this as ‘complete’ pivoting for size, in contrast to the selection of the maximum element in the leading column at each stage, which we call ‘partial’ pivoting for size.

1987 A. R. Collar & A. Simpson Matrices & Engin. Dynamics (BNC) 112 We choose diagonal pivoting without row interchange.

1992 J. G. Oxley Matroid Theory ii. 84 A familiar operation that forms part of the process of transforming a matrix into row-echelon form is pivoting.

This entry has been updated (OED Third Edition, June 2006; most recently modified version published online March 2022).

pivotingadj.

Brit.

/ˈpɪvətɪŋ/, U.S.

/ˈpɪvədɪŋ/

Forms: 1800s– pivoting, 1900s– pivotting (rare).

Origin: Formed within English, by derivation. Etymons: pivot v., -ing suffix².

Etymology: < pivot v. + -ing suffix².

That pivots.

ΘΚΠ

society > occupation and work > industry > working with tools or equipment > fastening > [adjective] > with pin or peg > acting as pivot

pivoting1888

1888 Pall Mall Gaz. 16 May 9/1 The eye of the bracket which receives the pivoting pin.

1946 V. N. Wood Metall. Materials x. 303 By a pivoting mechanism the nozzle can dip into the reservoir of metal and take up a fresh charge.

1982 J. May Many-Colored Land Prol. ii. 15 The other ends were held by a kind of pivoting hinge that allowed the halves to rotate and open wide.

2003 Living Etc Sept. 16/1 Keep paraphernalia out of sight and out of mind with this space-savvy pivoting storage unit.

This entry has been updated (OED Third Edition, June 2006; most recently modified version published online March 2022).

单词	pivoting
释义	pivotingn. Brit. /ˈpɪvətɪŋ/, U.S. /ˈpɪvədɪŋ/ Forms: 1700s– pivoting, 1900s– pivotting (rare). Origin: Formed within English, by derivation. Etymons: pivot n., -ing suffix¹; pivot v., -ing suffix¹. Etymology: < pivot n. + -ing suffix¹. In later use also partly < pivot v. + -ing suffix¹. 1. The action of pivot v.; an instance of this. ΘΚΠ society > occupation and work > equipment > building and constructing equipment > fastenings > [noun] > pin or peg > on which anything turns > act of pivoting1789 1789 Times 21 Apr. 1/3 Mr. J. Spence..begs leave to inform the Nobility, Gentry, and others, that he makes and puts in Artificial Teeth, but especially recommends to their notice, his various methods of fixing in Human Teeth, by screwing, pivoting, or set[ting] in Gold Sockets, or in Ivory Gums, from a single Tooth to a complete set. 1852 F. Baucher Method Horsemanship (ed. 2) 127 But the ordinary pivoting, or pirouette, being a pretty complicated movement, and a difficult one for the horse, he should not be completely exercised in it until he has acquired the measured time of the walk, and of the trot, and can easily execute the changes of direction. 1885 Lake Shore (Dunkirk, N.Y.) Observer 27 Aug. 4/4 Mr. F. W. Bold has secured a job of pivoting in the Hampton Watch Company. 1967 Encycl. Brit. III. 233/1 He rocks back and forth..before starting the actual pivoting and drawing back of the pitching arm for the throw. 1997 G. S. Helfman et al. Diversity of Fishes viii. 105/1 Low-speed manoeuvrability can also be achieved with a highly compressed (laterally flattened), short body that facilitates pivoting. 2. Bridge. The practice of changing partners systematically after every rubber. ΚΠ 1921 F. Irwin Compl. Auction Player 2 ‘Pivoting’ is changing partners after every rubber and according to fixed routine. 1937 Appleton (Wisconsin) Post-Crescent 4 Dec. 12/1 Those planning to play contract bridge are to make up their tables for pivoting. 1999 Re: Lehman Snobbery in rec.games.bridge.okbridge (Usenet newsgroup) 21 May To simply ‘swap partners’ and play with them oneself for the night rather defeats the object of arranging to meet one's partner on OKB in the first place, but a pivoting system sounds fun! 3. Mathematics. The use of a pivot (pivot n. 3e) as a means of making a column of a determinant or square matrix consist entirely of zeros except for one unit element, as a step in evaluating the determinant, or in the numerical solution of simultaneous linear equations; the repeated application of this operation, as a means of converting a square matrix or determinant into triangular form (in which all the elements on one side of the principal diagonal are zero); pivotal condensation.complete, partial pivoting: see the first element. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > array > matrix > operation or result of > determinant > non-zero element or use of pivot1933 pivoting1961 total pivoting1968 1961 Jrnl. Assoc. Computing Machinery 8 282 We derive first an upper bound for R when a general matrix is reduced to triangular form by Gaussian elimination, selecting as pivotal element at each stage the element of maximum modulus in the whole of the remaining square matrix. We refer to this as ‘complete’ pivoting for size, in contrast to the selection of the maximum element in the leading column at each stage, which we call ‘partial’ pivoting for size. 1987 A. R. Collar & A. Simpson Matrices & Engin. Dynamics (BNC) 112 We choose diagonal pivoting without row interchange. 1992 J. G. Oxley Matroid Theory ii. 84 A familiar operation that forms part of the process of transforming a matrix into row-echelon form is pivoting. This entry has been updated (OED Third Edition, June 2006; most recently modified version published online March 2022). pivotingadj. Brit. /ˈpɪvətɪŋ/, U.S. /ˈpɪvədɪŋ/ Forms: 1800s– pivoting, 1900s– pivotting (rare). Origin: Formed within English, by derivation. Etymons: pivot v., -ing suffix². Etymology: < pivot v. + -ing suffix². That pivots. ΘΚΠ society > occupation and work > industry > working with tools or equipment > fastening > [adjective] > with pin or peg > acting as pivot pivoting1888 1888 Pall Mall Gaz. 16 May 9/1 The eye of the bracket which receives the pivoting pin. 1946 V. N. Wood Metall. Materials x. 303 By a pivoting mechanism the nozzle can dip into the reservoir of metal and take up a fresh charge. 1982 J. May Many-Colored Land Prol. ii. 15 The other ends were held by a kind of pivoting hinge that allowed the halves to rotate and open wide. 2003 Living Etc Sept. 16/1 Keep paraphernalia out of sight and out of mind with this space-savvy pivoting storage unit. This entry has been updated (OED Third Edition, June 2006; most recently modified version published online March 2022). < n.1789adj.1888
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