# ⇢ Connections

## Formula Modifiers

A Formula on a Resource Connection determines how many Resources may move through that Connection in a given time step.

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Formula Modifiers connect an origin Node to a target Formula (F) of a Resource Connection (or that of a State Connection) and indicate how State Changes in the origin Node (∆S) modify the current value of the target Formula, at a current Step (Ft ) as indicated by the State Connection’s own label (M).

The new value takes effect in the next Step (Ft+1). The amount of the change in the origin Node is multiplied by the Formula Modifier’s own Formula

`Ft + 1 = Ft + M × ∆S`

🔧 Let’s take the example below. Play a Step. You have a Formula Modifier (M) that reads +3 and the origin Node (Pool ∆S) increases by 2 (the rate at which the Resource Connection transfers Resources from Source A to Pool ∆S). The Target Formula (F) has increased by 6 in the current time step (Ft): it added to F 3 twice, once for each change in the origin Node. So, in Ft+1 (play another Step), the Resource Connection corresponding to F, will transfer 7 (6+1) Resources to Pool C.

If the Formula is the Target of multiple Formula Modifiers, you will have to take the sum of all changes to find the new value: `Ft + 1 = Ft + ∑( M × ∆S )`

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The Formula of a Formula Modifier always starts with a + or – symbol.

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