Difference between Increasing and Monotone increasing function
Apr 17, 2016 · To say a function is monotonic, means it is exhibiting one behavior over the whole domain. That is, a monotonically increasing function is nondecreasing over its domain and is also an …
MONOTONIC function in PROC SQL - SAS Communities
Jul 5, 2018 · The MONOTONIC function is an undocumented SAS function. It needs no input parameters and if any input parameters are provided, these are ignored. The function counts the …
Solved: MONOTONIC () in SQL JOIN - SAS Support Communities
Jan 31, 2020 · The monotonic () function (or any other function really) has nothing to do with how SAS assigns values to the _N_ automatic variable in a data step. Also the _N_ automatic variable has …
terminology - Monotonous function or monotonic / monotone …
Oct 6, 2025 · Monotonic describes something this is unchanged or altered, such as the function in maths whereas Monotonous describes something lacking in variety and is usually used in reference to tone.
Monotonic () function - SAS Support Communities
Sep 16, 2007 · I found the following code in an old program at my shop that uses monotonic() in a where statement. I know that monotonic is a SQL function that's not supported but here it is used in a proc …
Is $\\sin(x)$ a monotonic function? - Mathematics Stack Exchange
Oct 20, 2018 · (FWIW, often in a casual calculus context one will hear a function which reverses the order everywhere also called a monotonic function or "monotonic decreasing function", but …
Prove if a continuous function $f$ is one-to-one, it is monotonic.
Hint: If a function f is one-to-one, then df/dx >= 0 or df/dx <= 0 for all x in the domain of f.
Monotonic function with group by proc sql - SAS Communities
Jun 28, 2017 · Hello, I would like to create a monotonic() function that would go from 1 to n based on another variable such that if i have a dataset with years, it goes from 1 to x for 2012, 1 to y for 2013, …
analysis - How can I prove the monotonicity of a function ...
Oct 11, 2012 · Always depends on context: if you are expected to use the derivative, use the derivative. At very beginning of an analysis course, the derivative and its properties have not yet been …
sequences and series - Monotonically increasing vs Non-decreasing ...
To be explicit (and avoid ambiguity), one can specify that a monotonic sequence is "strictly increasing" or that it is non-decreasing, or non-increasing, or strictly decreasing.