single-valuedadj.
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).
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adj.1879