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# Technical Studies Reference

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### Study Subgraphs Subtract/Difference

This study calculates and displays the *Difference* of two study Subgraphs. These can be part of different studies on the chart.

Let \(X^{(1)}\) and \(X^{(2)}\) be random variables respectively denoting the **Input Study 1** and **Input Study 2** Inputs, and let \(X^{(1)}_t\) and \(X^{(2)}_t\) be their respective values at Index \(t\). Let the Input **Study 2 Subgraph Offset** be denoted as \(k\).

If \(k = 0\), then the displayed value of **Study Subgraphs Subtract** at Index \(t\) is given by \(X^{(1)}_t - X^{(2)}_t\). If \(k \neq 0\), then the displayed value of **Study Subgraphs Subtract** is given by \(X^{(1)}_t - X^{(2)}_0\) for \(t \leq k\), and \(X^{(1)}_t - X^{(2)}_{t - k}\) for \(t > k\).

If the **Draw Zeros** Input is set to No, then **Study Subgraphs Subtract** is not drawn at Index \(t\) if its value is zero. Otherwise, it is drawn at Index \(t\) even if its value is zero.

If the **Perform Subtract With Zero Values** Input is set to No, then the value of **Study Subgraphs Subtract** is replaced with \(0\) at Index \(t\) if either term in the difference is zero. Otherwise, the two terms are subtracted even if either of them is zero.

#### Inputs

**Input Study 1**: Use this Input to select the study and study Subgraph for Study Subgraph 1 used in the difference calculation.**Input Study 2**: Use this Input to select the study and study Subgraph for Study Subgraph 2 used in the difference calculation.**Study 2 Subgraph Offset**: This Input specifies the offset, in chart bars, from the current bar when determining the value for Study Subgraph 2.**Draw Zeros**: When this Input is set to Yes, then zero values from the study Subgraph will be drawn. Otherwise, they will not be.**Perform Subtract With Zero Values**: When this input is set to Yes, the default, then**Input Study 1**and**Input Study 2**of the**Based On**studies are always subtracted. When this is set to No, then at chart columns where the either**Input Study 1**or**Input Study 2**from the**Based On**studies is 0, then the subtraction does not occur and a zero value is used instead.

#### Spreadsheet

The spreadsheet below contains the formulas for this study in Spreadsheet format. Save this Spreadsheet to the Data Files Folder.

Open it through **File >> Open Spreadsheet**.

*Last modified Wednesday, 03rd January, 2018.