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Sequences
for which the terms belong to a totally ordered set (or linearly ordered set) and such that
![{\displaystyle a(n+1)\leq a(n),\quad i_{\rm {min}}\leq n<i_{\rm {max}},\,}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/9f12ea7bad4d5b81e1ea4825d63442fe52ecdb99)
where
![{\displaystyle \exists k\,|\,a(k+1)<a(k),\quad i_{\rm {min}}\leq k<i_{\rm {max}}.\,}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/f9700f1084881389aa174ae0fbf4454c175c0ca3)
Nonstrictly decreasing sequences
Sequences
for which the terms belong to a totally ordered set (or linearly ordered set) and such that
![{\displaystyle a(n+1)\leq a(n),\quad i_{\rm {min}}\leq n<i_{\rm {max}}.\,}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/0fc8fc75c328d07909bb5aecf668a65716954a17)
Strictly decreasing sequences
Sequences
for which the terms belong to a totally ordered set (or linearly ordered set) and such that
![{\displaystyle a(n+1)<a(n),\quad i_{\rm {min}}\leq n<i_{\rm {max}}.\,}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/4fee698f8cb42b54d92fbba6ecdb81eeb967faeb)
See also