monotonicity
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21—26 of 26 matching pages
21: Bibliography B
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A monotonicity property involving and comparisons of the classical approximations of elliptical arc length.
SIAM J. Math. Anal. 32 (2), pp. 403–419.
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22: Bibliography M
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Higher monotonicity properties of certain Sturm-Liouville functions. V.
Proc. Roy. Soc. Edinburgh Sect. A 77 (1-2), pp. 23–37.
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23: 1.6 Vectors and Vector-Valued Functions
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►A path , , is a reparametrization of , , if and with differentiable and monotonic.
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24: 3.11 Approximation Techniques
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►Since , is a monotonically increasing function of , and (for example) , this means that in practice the gain in replacing a truncated Chebyshev-series expansion by the corresponding minimax polynomial approximation is hardly worthwhile.
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25: 19.29 Reduction of General Elliptic Integrals
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►Lastly, define and assume is positive and monotonic for .
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