# Technical Studies Reference

### 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.