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# Momentum

This study calculates and displays the Momentum of the data specified by the Input Data Input.

Let $$X$$ be a random variable denoting the Input Data, and let $$X_t$$ be the value of the Input Data at Index $$t$$. Let the Input Length be denoted as $$n$$. The Momentum at Index $$t$$ for the given Inputs is denoted as $$M_t(X,n)$$, and we compute it for $$t \geq n$$. The method of computation depends on the setting of the Momentum Type Input, as decribed below.

If Momentum Type is set to Difference, then $$M_t(X,n)$$ is calculated as follows.

$$M_t(X,n) = \displaystyle{X_t - X_{t - n}}$$

If Momentum Type is set to Quotient, then $$M_t(X,n)$$ is calculated as follows.

$$\displaystyle{M_t(X,n) =\left\{ \begin{matrix} 100\cdot\frac{X_t}{X_{t - n}} & X_{t - n} \neq 0 \\ 0 & X_{t - n} = 0 \end{matrix}\right .}$$

#### Inputs

• Input Data
• Length
• Momentum Type: This custom Input determines whether the Difference or Quotient version of the Momentum formula is used.