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1: 1.4 Calculus of One Variable
§1.4(i) Monotonicity
Similarly for nonincreasing and decreasing (strictly decreasing) functions. … If f ( x ) 0 ( 0 ) ( = 0 ) for all x ( a , b ) , then f is nondecreasing (nonincreasing) (constant) on ( a , b ) . …
2: 35.4 Partitions and Zonal Polynomials
A partition κ = ( k 1 , , k m ) is a vector of nonnegative integers, listed in nonincreasing order. …
3: 26.12 Plane Partitions
A plane partition, π , 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 ( α j ) comprise those points ξ that can be joined to α j in Δ by a path 𝒬 j along which v is nondecreasing ( j = 1 ) or nonincreasing ( j = 2 ) as v passes from α j to ξ . …