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1: 1.4 Calculus of One Variable

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§1.4(i) Monotonicity

… ►Similarly for nonincreasing and decreasing (strictly decreasing) functions. … ►If $f^{\prime }(x)\ge 0$ ($\le 0$) ($=0$) for all $x\in (a,b)$, then $f$ is nondecreasing (nonincreasing) (constant) on $(a,b)$. …

2: 35.4 Partitions and Zonal Polynomials

… ►A partition $\kappa =(k_1,\mathrm{\dots },k_m)$ is a vector of nonnegative integers, listed in nonincreasing order. …

3: 26.12 Plane Partitions

… ►A plane partition, $\pi$, of a positive integer $n$, is a partition of $n$ in which the parts have been arranged in a 2-dimensional array that is weakly decreasing (nonincreasing) across rows and down columns. …

4: 2.8 Differential Equations with a Parameter

… ►The regions of validity ${𝚫}_j({\alpha }_j)$ comprise those points $\xi$ that can be joined to ${\alpha }_j$ in $𝚫$ by a path ${𝒬}_j$ along which $\mathrm{\Re }v$ is nondecreasing $(j=1)$ or nonincreasing $(j=2)$ as $v$ passes from ${\alpha }_j$ to $\xi$. …