# Technical Studies Reference

### Bill Williams Fractal Signals

The study calculates and displays the Bill Williams Fractal signals.

The formulas are described below. The [n] notation refers to the bar ahead or behind from the bar currently being calculated. A positive n refers to a bar ahead and a negative n refers to a bar behind the current bar. == means equals.

A buy fractal signal will be given when the following is true.

		(
BarHigh[Index] > BarHigh[1]
and BarHigh[1] > BarHigh[2]
and BarHigh > BarHigh[-1]
and BarHigh[-1] > BarHigh[-2]
and BarLow >= BarLow[1]
and BarLow >= BarLow[-1]
and BarLow[-1] > BarLow[-2]
)

OR

(
and BarHigh > BarHigh[2]
and BarHigh > BarHigh[3]
and BarHigh > BarHigh[-1]
and BarHigh > BarHigh[-2]
and BarHigh == BarHigh[1]
)
OR

(
and BarHigh > BarHigh[3]
and BarHigh > BarHigh[4]
and BarHigh > BarHigh[-1]
and BarHigh > BarHigh[-2]
and BarHigh == BarHigh[1]
and BarHigh[1] == BarHigh[2]


A sell fractal signal will be given when the following is true.

		(
BarLow < BarLow[1]
and BarLow[1] < BarLow[2]
and BarLow < BarLow[-1]
and BarLow < BarLow[-2]
)
||
(
BarLow < BarLow[2]
and BarLow < BarLow[3]
and BarLow < BarLow[-1]
and BarLow < BarLow[-2]
and BarLow == BarLow[1]
)
||
(
BarLow < BarLow[3]
and BarLow < BarLow[4]
and BarLow < BarLow[-1]
and BarLow < BarLow[-2]
and BarLow == BarLow[1]
and BarLow[1] == BarLow[2]
)


#### Inputs

• Arrow Offset Percentage: This is a percentage where 1 equals 1%. This specifies a percentage of the High to Low range of a bar which is used to offset the Up and Down triangles (default Subgraph Draw Style) from the High and Low of a bar, respectively.