single-valuedadj.

Etymology: single adj.

Mathematics.

Having a unique value for each value of its argument(s); that maps to one and only one point, number, etc.

ΘΚΠ

the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to functions > relating to arguments

single-valued1879

1879 J. C. Maxwell Treat. Electr. & Magn. (1881) II. 252 The potential of the magnetic system is single valued at every point of space.

1882 G. M. Minchin Uniplanar Kinematics 193 In this case the stream function..is single-valued. The reverse takes place in the case of a squirt.

1946 Nature 27 July 128/2 In Indian longitudes..the base of the stratosphere is always sharp and clear-cut and single-valued in summer, but is just one of several inversions in winter.

Derivatives

single-valuedness n. the property of being single-valued.

ΘΚΠ

the world > relative properties > number > mathematics > [noun] > mathematical property

irreductibility1865

utility1881

intransitivity1889

independence1902

non-linearity1904

connexity1905

analyticity1914

irredundance1925

irreflexiveness1933

decidability1936

non-emptiness1936

undecidability1942

irredundancy1952

irreflexivity1964

single-valuedness1968

1968 C. G. Kuper Introd. Theory Superconductivity iii. 52 To guarantee single-valuedness, we must impose the flux quantization condition.

1970 G. K. Woodgate Elem. Atomic Struct. ii. 17 Thus Φ, like Θ, is a single-valued function of its argument. This single-valuedness is not a necessary postulate of wave mechanics, but a result derived from the condition that we are working in a central field in (r, θ, ϕ) space.

This entry has not yet been fully updated (first published 1986; most recently modified version published online June 2018).

单词	single-valued
释义	single-valuedadj. Etymology: single adj. Mathematics. Having a unique value for each value of its argument(s); that maps to one and only one point, number, etc. ΘΚΠ the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to functions > relating to arguments single-valued1879 1879 J. C. Maxwell Treat. Electr. & Magn. (1881) II. 252 The potential of the magnetic system is single valued at every point of space. 1882 G. M. Minchin Uniplanar Kinematics 193 In this case the stream function..is single-valued. The reverse takes place in the case of a squirt. 1946 Nature 27 July 128/2 In Indian longitudes..the base of the stratosphere is always sharp and clear-cut and single-valued in summer, but is just one of several inversions in winter. Derivatives single-valuedness n. the property of being single-valued. ΘΚΠ the world > relative properties > number > mathematics > [noun] > mathematical property irreductibility1865 utility1881 intransitivity1889 independence1902 non-linearity1904 connexity1905 analyticity1914 irredundance1925 irreflexiveness1933 decidability1936 non-emptiness1936 undecidability1942 irredundancy1952 irreflexivity1964 single-valuedness1968 1968 C. G. Kuper Introd. Theory Superconductivity iii. 52 To guarantee single-valuedness, we must impose the flux quantization condition. 1970 G. K. Woodgate Elem. Atomic Struct. ii. 17 Thus Φ, like Θ, is a single-valued function of its argument. This single-valuedness is not a necessary postulate of wave mechanics, but a result derived from the condition that we are working in a central field in (r, θ, ϕ) space. This entry has not yet been fully updated (first published 1986; most recently modified version published online June 2018). < adj.1879
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