# Technical Studies Reference

### Momentum with Moving Average

This study calculates and displays both the Momentum and a Simple Moving Average of the Momentum of the data specified by the Input Data Input. Refer to those studies for a full explanation of the notation used here.

In the expression $$M_t(X,n)$$, $$n$$ denotes the Input Momentum Length. This Input was simply called Length in the Momentum study.

We denote the Simple Moving Average of the Momentum as $$MA_t(M(X,n),n_{MA})$$, where $$n_{MA}$$ denotes the Moving Average Length, and $$M(X,n)$$ is a random variable denoting the Momentum of Length $$n$$ for the Input Data $$X$$.

Both $$M_t(X,n)$$ and $$MA_t(M(X,n),n_{MA})$$ are displayed for $$t \geq n + n_{MA}$$. In order to compute $$MA_{n + n_{MA}}(M(X,n),n_{MA})$$, internal calculations of $$M_t(X,n)$$ are executed for $$n \leq t < n + n_{MA}$$, but these values are not displayed as output.