# Technical Studies Reference

### Rahul Mohindar Oscillator

This study calculates the system of indicators associated with the Rahul Mohindar Oscillator for 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 Inputs Length 1, Length 2, Length 3, and Length 4 be denoted as $$n_1$$, $$n_2$$, $$n_3$$, and $$n_4$$, respectively. We begin by computing the following sequence of Simple Moving Averages.

$$SMA^{(1)}_t(X,n_1) = SMA_t(X,n_1)$$

$$SMA^{(2)}_t(X,n_1) = SMA_t(SMA(X,n_1),n_1)$$

$$SMA^{(3)}_t(X,n_1) = SMA_t(SMA(SMA(X,n_1),n_1),n_1)$$

$$SMA^{(4)}_t(X,n_1) = SMA_t(SMA(SMA(SMA(X,n_1),n_1),n_1),n_1)$$

$$SMA^{(5)}_t(X,n_1) = SMA_t(SMA(SMA(SMA(SMA(X,n_1),n_1),n_1),n_1),n_1)$$

$$SMA^{(6)}_t(X,n_1) = SMA_t(SMA(SMA(SMA(SMA(SMA(X,n_1),n_1),n_1),n_1),n_1),n_1)$$

$$SMA^{(7)}_t(X,n_1) = SMA_t(SMA(SMA(SMA(SMA(SMA(SMA(X,n_1),n_1),n_1),n_1),n_1),n_1),n_1)$$

$$SMA^{(8)}_t(X,n_1) = SMA_t(SMA(SMA(SMA(SMA(SMA(SMA(SMA(X,n_1),n_1),n_1),n_1),n_1),n_1),n_1),n_1)$$

$$SMA^{(9)}_t(X,n_1) = SMA_t(SMA(SMA(SMA(SMA(SMA(SMA(SMA(SMA(X,n_1),n_1),n_1),n_1),n_1),n_1),n_1),n_1),n_1)$$

$$SMA^{(10)}_t(X,n_1) = SMA_t(SMA(SMA(SMA(SMA(SMA(SMA(SMA(SMA(SMA(X,n_1),n_1),n_1),n_1),n_1),n_1),n_1),n_1),n_1),n_1)$$

In the above relations, $$SMA^{(j)}$$ denotes the $$j-$$ fold composition of Simple Moving Averages.

We also compute the Highest High and Lowest Low over $$n_2$$ bars: $$\max(X,n_2)$$ and $$\min(X,n_2)$$

We then denote the indicator Swing Trade 1 at Index $$t$$ for the given Inputs as $$ST^{(1)}_t(X,n_1,n_2)$$, and we compute it for $$t \geq 0$$ as follows. No Subgraph is drawn for Swing Trade 1.

$$\displaystyle{ST^{(1)}_t(X,n_1,n_2) = \left\{\begin{matrix} 100\cdot\frac{X_t - \frac{1}{10}\sum_{j = 1}^{10}SMA^{(j)}_t(X,n_1)}{\max_t(X,n_2) - \min_t(X,n_2)} & \max_t(X,n_2) - \min_t(X,n_2) \neq 0 \\ 0 & \max_t(X,n_2) - \min_t(X,n_2) = 0 \end{matrix}\right .}$$

For an explanation of the Sigma ($$\Sigma$$) notation for summation, refer to our description here.

We denote indicators Swing Trade 2 and Swing Trade 3 at Index $$t$$ for the given Inputs as $$ST^{(2)}_t(X,n_1,n_2,n_3)$$ and $$ST^{(3)}_t(X,n_1,n_2,n_3)$$, and we compute them in terms of Exponential Moving Averages for $$t \geq 0$$ as follows. The Subgraphs of Swing Trade 2 and Swing Trade 3 are both drawn for $$t \geq \max\{n_1,n_2,n_3,n_4\}$$.

$$ST^{(2)}_t(X,n_1,n_2,n_3) = EMA_t\left(ST^{(1)}(X,n_1,n_2),n_3)\right)$$

$$ST^{(3)}_t(X,n_1,n_2,n_3) = EMA_t\left(ST^{(2)}(X,n_1,n_2),n_3)\right)$$

Swing Trade 2 and Swing Trade 3 are used to determine Buy and Sell signals. Let the Arrow Offset Percentage Input be denoted as $$k$$.

A Buy Signal is indicated by an Up Arrow at Index $$t$$ if the Subgraph of the Swing Trade 3 crosses the Subgraph of Swing Trade 2 from below. That is, a Buy Signal at $$t$$ satisfies the conditions $$ST^{(3)}_{t - 1}(X,n_1,n_2,n_3) < ST^{(2)}_{t - 1}(X,n_1,n_2,n_3)$$ and $$ST^{(3)}_t(X,n_1,n_2,n_3) > ST^{(2)}_t(X,n_1,n_2,n_3)$$. The vertical coordinate of the tip of the arrow is given by $$ST^{(3)}_t(X,n_1,n_2,n_3) - \frac{k}{100}ST^{(3)}_t(X,n_1,n_2,n_3)$$.

A Sell Signal is indicated by a Down Arrow at Index $$t$$ if the Subgraph of the Swing Trade 3 crosses the Subgraph of Swing Trade 2 from above. That is, a Sell Signal at $$t$$ satisfies the conditions $$ST^{(3)}_{t - 1}(X,n_1,n_2,n_3) > ST^{(2)}_{t - 1}(X,n_1,n_2,n_3)$$ and $$ST^{(3)}_t(X,n_1,n_2,n_3) < ST^{(2)}_t(X,n_1,n_2,n_3)$$. The vertical coordinate of the tip of the arrow is given by $$ST^{(3)}_t(X,n_1,n_2,n_3) + \frac{k}{100}ST^{(3)}_t(X,n_1,n_2,n_3)$$.

Finally, we denote the Rahul Mohindar Oscillator (RMO) for the given Inputs at Index $$t$$ as $$RMO_t(X,n_1,n_2,n_4)$$, and we compute it for $$t \geq 0$$ as follows. As with the Swing Trade 1 and Swing Trade 2 subgraphs, the RMO Subgraph is displayed for $$t \geq \max\{n_1,n_2,n_3,n_4\}$$.

$$RMO_t(X,n_1,n_2,n_4) = EMA_t\left(ST^{(1)}_t(X,n_1,n_2),n_4\right)$$

The symbol in the chart is experiencing a Bull Trend when $$RMO_t(X,n_1,n_2,n_4) > 0$$ and a Bear Trend when $$RMO_t(X,n_1,n_2,n_4) < 0$$.