# nonincreasing

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## 4 matching pages

##### 1: 1.4 Calculus of One Variable
###### §1.4(i) Monotonicity
Similarly for nonincreasing and decreasing (strictly decreasing) functions. … If $f^{\prime}(x)\geq 0$ ($\leq 0$) ($=0$) for all $x\in(a,b)$, then $f$ is nondecreasing (nonincreasing) (constant) on $(a,b)$. …
##### 2: 35.4 Partitions and Zonal Polynomials
A partition $\kappa=(k_{1},\dots,k_{m})$ 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 $\mathbf{\Delta}_{j}(\alpha_{j})$ comprise those points $\xi$ that can be joined to $\alpha_{j}$ in $\mathbf{\Delta}$ by a path $\mathscr{Q}_{j}$ along which $\Re v$ is nondecreasing $(j=1)$ or nonincreasing $(j=2)$ as $v$ passes from $\alpha_{j}$ to $\xi$. …