Exponential Sequence¶
destination after Beta: Number
Functionality¶
This node produces specified number of items from exponential sequence, defined by formula x_n = x0*exp(alpha*n) or x_n = x0*base^n. Obviously, these formulas are equivalent when alpha = log(base).
Sequence can be re-scaled so that maximum of absolute values of produced items will be equal to specified value.
Note. Please do not forget well-known properties of exponential sequences:
- They grow very quickly when base is greater than 1.0 (or alpha greater than 0.0).
- They decrease very quickly when base is less than 1.0 (or alpha less than 0.0).
Inputs & Parameters¶
All parameters except for Mode can be given by the node or an external input. This node has the following parameters:
| Parameter | Type | Default | Description |
|---|---|---|---|
| Mode | Enum: Log or Base | Log | If Log, then x_n = x0*exp(alpha*n). If Base, then x_n = x0*base^n. |
| X0 | Float | 1.0 | Item of sequence for N=0. |
| Alpha | Float | 0.1 | Coefficient in formula exp(alpha*n). Used only in Log mode. |
| Base | Float | 2.0 | Exponential base in formula base^n. Used only in Base mode. |
| N from | Int | 0 | Minimal value of N. |
| N to | Int | 10 | Maximal value of N. |
| Max | Float | 0.0 | If non-zero, then all output sequence will be re-scaled so that maximum of absolute values will be equal to number specified. |
Outputs¶
This node has one output: Sequence.
Inputs and outputs are vectorized, so if series of values is passed to one of inputs, then this node will produce several sequences.
