fullcable.t {bentcableAR} | R Documentation |

## Evaluate Bent Cable Function

### Description

The bent-cable response is evaluated at a provided design point `t`

.

### Usage

```
fullcable.t(t, b0, b1, b2, tau, gamma)
```

### Arguments

`t` |
A design point at which the bent cable is to be evaluated. |

`b0` |
Intercept. |

`b1` |
Incoming slope. |

`b2` |
Coefficient of the |

`tau` |
Centre of the quadratic bend (transition). |

`gamma` |
Non-negative half-width of the quadratic bend. |

### Details

All arguments must be numeric, and at most one can be a vector.

The *full bent cable* has the form
`f(t) = b_0 + b_1 t + b_2 q(t)`

, where `q(t)`

is
the *basic bent cable* function with intercept and slope 0
and outgoing slope 1:

```
q(t)=\frac{(t-\tau+\gamma)^2}{4\gamma} I\{|t-\tau|\leq\gamma\}
+ (t-\tau) I\{t>\tau+\gamma\}
```

for `\gamma\geq 0`

.

### Note

This function is intended for internal use by `bentcable.ar`

and `bentcable.dev.plot`

.

### Author(s)

Grace Chiu

### References

See the `bentcableAR`

package references.

### Examples

```
# basic broken stick, kink at 0:
plot( seq(-10,10), fullcable.t(seq(-10,10),0,0,1,0,0) )
# full bent cable, bend centred at 0 with half-width 3:
plot( seq(-10,10), fullcable.t(seq(-10,10),1,.1,-.5,0,3) )
```

*bentcableAR*version 0.3.1 Index]