ISO/TC 211 Multi-Lingual Glossary of Terms (MLGT)

Note to entry: An increasing sequence never gets smaller. A strictly increasing sequence always gets larger. A decreasing sequence never gets larger. A strictly decreasing sequence always gets smaller. ${\displaystyle \left[x\left(i\right)\text{is increasing}\right]\iff [i<j\Rightarrow x\left(i\right)\le x\left(j\right)]}$ ${\displaystyle \left[x\left(i\right)\text{is strickly increasing}\right]\iff [i<j\Rightarrow x\left(i\right)<x\left(j\right)]}$ ${\displaystyle \left[x\left(i\right)\text{is decreasing}\right]\iff [i<j\Rightarrow x\left(i\right)\ge x\left(j\right)]}$ ${\displaystyle \left[x\left(i\right)\text{is strickly decreasing}\right]\iff [i<j\Rightarrow x\left(i\right)>x\left(j\right)]}$ ${\displaystyle \left[x\left(i\right)\text{is decreasing}\right]\vee \left[x\left(i\right)\text{is increasing}\right]\iff \left[x\left(i\right)\text{is monotonic}\right]}$