solenoidaladj.

/sɒl-/

/səʊləˈnɔɪdəl/

Etymology: < solenoid n. + -al suffix¹.

Of, pertaining or relating to, a solenoid; of the nature or having the properties of a solenoid. spec. of a vector field: having no divergence anywhere, and hence expressible as the curl of another vector field.

ΘΚΠ

the world > matter > physics > electromagnetic radiation > electricity > electrically induced magnetism > [adjective] > solenoidal

sphondyloid1852

solenoidal1873

the world > relative properties > number > mathematical number or quantity > tensor > [adjective] > of nature of a vector > of vector field

solenoidal1873

1873 J. C. Maxwell Treat. Electr. & Magnetism I. 21 The distribution of the vector quantity is said to be Solenoidal.

1873 J. C. Maxwell Treat. Electr. & Magnetism I. 23 The whole space can be divided into tubes of this kind provided dX/dx + dY/dy + dZ/dz = o, a distribution of a vector quantity consistent with this equation is called a Solenoidal Distribution.

1883 Encycl. Brit. XV. 230/2 Solenoidal Magnets..[are] such that the vector I satisfies the solenoidal condition.

1897 C. E. Curry Theory Electr. & Magnetism 256 This solenoidal arrangement of the molecular currents.

1909 J. G. Coffin Vector Anal. vi. 154 (heading) Separation of a vector point-function W, which has a vector-potential, into solenoidal or rotational and lamellar or irrotational components.

1933 H. B. Phillips Vector Anal. viii. 195 If two vectors satisfy these conditions their difference, being irrotational, solenoidal, piecewise continuous, and zero at infinity, is zero.

1972 A. G. Howson Handbk. Terms Algebra & Anal. xxxv. 175 A vector field satisfying div f = 0, i.e. div f(x) = 0 for all x ∈S, is said to be solenoidal.

Derivatives

soleˈnoidally adv.

ΘΚΠ

the world > matter > physics > electromagnetic radiation > electricity > electrically induced magnetism > [adverb] > in the manner of a solenoid

solenoidally1851

1851 Philos. Trans. (Royal Soc.) 141 270 The distribution of magnetism in it is said to be solenoidal, and the substance is said to be solenoidally magnetized.

1883 Encycl. Brit. XV. 231/1 When a body is solenoidally magnetized.

1883 Encycl. Brit. XV. 231/1 The magnetic action of a solenoidally magnetized body.

This entry has not yet been fully updated (first published 1913; most recently modified version published online December 2021).

单词	solenoidal
释义	solenoidaladj. /sɒl-//səʊləˈnɔɪdəl/ Etymology: < solenoid n. + -al suffix¹. Of, pertaining or relating to, a solenoid; of the nature or having the properties of a solenoid. spec. of a vector field: having no divergence anywhere, and hence expressible as the curl of another vector field. ΘΚΠ the world > matter > physics > electromagnetic radiation > electricity > electrically induced magnetism > [adjective] > solenoidal sphondyloid1852 solenoidal1873 the world > relative properties > number > mathematical number or quantity > tensor > [adjective] > of nature of a vector > of vector field solenoidal1873 1873 J. C. Maxwell Treat. Electr. & Magnetism I. 21 The distribution of the vector quantity is said to be Solenoidal. 1873 J. C. Maxwell Treat. Electr. & Magnetism I. 23 The whole space can be divided into tubes of this kind provided dX/dx + dY/dy + dZ/dz = o, a distribution of a vector quantity consistent with this equation is called a Solenoidal Distribution. 1883 Encycl. Brit. XV. 230/2 Solenoidal Magnets..[are] such that the vector I satisfies the solenoidal condition. 1897 C. E. Curry Theory Electr. & Magnetism 256 This solenoidal arrangement of the molecular currents. 1909 J. G. Coffin Vector Anal. vi. 154 (heading) Separation of a vector point-function W, which has a vector-potential, into solenoidal or rotational and lamellar or irrotational components. 1933 H. B. Phillips Vector Anal. viii. 195 If two vectors satisfy these conditions their difference, being irrotational, solenoidal, piecewise continuous, and zero at infinity, is zero. 1972 A. G. Howson Handbk. Terms Algebra & Anal. xxxv. 175 A vector field satisfying div f = 0, i.e. div f(x) = 0 for all x ∈S, is said to be solenoidal. Derivatives soleˈnoidally adv. ΘΚΠ the world > matter > physics > electromagnetic radiation > electricity > electrically induced magnetism > [adverb] > in the manner of a solenoid solenoidally1851 1851 Philos. Trans. (Royal Soc.) 141 270 The distribution of magnetism in it is said to be solenoidal, and the substance is said to be solenoidally magnetized. 1883 Encycl. Brit. XV. 231/1 When a body is solenoidally magnetized. 1883 Encycl. Brit. XV. 231/1 The magnetic action of a solenoidally magnetized body. This entry has not yet been fully updated (first published 1913; most recently modified version published online December 2021). < adj.1851
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