OR

$$A \lor B = \begin{cases} \text{true} & \text{if } A = \text{true or } B = \text{true} \\ \text{false} & \text{if } A = \text{false and } B = \text{false} \end{cases}$$

The OR module performs element-wise logical disjunction on two boolean series. It returns true if at least one of the inputs is true.

A	B	A OR B
false	false	false
false	true	true
true	false	true
true	true	true

---

Missing Data

OR uses three-valued logic: a missing (null) input only makes the result null when the outcome genuinely depends on it. One real true decides a disjunction outright, even if the other flag is missing. A false decides nothing on its own — the missing partner could have been true — so the result is null.

A	B	A OR B
true	null	true
null	true	true
false	null	null
null	false	null
null	null	null

A missing flag is never treated as false: a gap in your data — a closed market, an indicator warm-up — stays a gap in the signal, at the same position. OR itself has no invalid inputs: every position where both flags are present produces a real true/false.

In LIVE mode the module returns exactly one datapoint — the current bar — which is null when it is undeterminable by the rules above.

---

Numeric Interpretation

⚠️ Important: When inputs are numeric rather than boolean, the OR module converts values before evaluating:

Value	Interpreted As
0	false
0.0	false
1	true
-5	true
0.001	true

Rule: Zero is false. Any non-zero value is true. This applies to both inputs independently.

---

Input Alignment

When inputs have different lengths or frequencies, Systemic automatically aligns them:

Scenario	Behavior
Different lengths	Shorter series is padded by repeating its last value
Different frequencies	Lower-frequency series is upsampled to match

---

Practical Example

Multiple entry triggers: Fire a buy signal when either RSI is oversold or MACD crosses above its signal line. This creates a more aggressive strategy that reacts to any bullish indicator, in contrast to AND which requires all conditions.

---

Comparison: OR vs AND

Operator	Behavior	Use When
OR	True if any input is true	Inclusive criteria, alternatives
AND	True only if all inputs are true	Strict filtering, confirmation

---

Related Modules

• AND — Logical conjunction (both must be true)
• NOT — Logical negation (invert a condition)
• EQ — Equality comparison
• GTR / LST — Comparison operators for generating boolean conditions