## APMonitor Equations

## Main.Equations History

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(:title APMonitor Equations:) (:keywords equation, sine, cosine, trigonometric, function, exponential, log, log10:) (:description APMonitor allows differential and algebraic equations with integer or continuous variables. This is a list of reserved keywords in APMonitor for equation expressions.:)

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sigmd() | Sigmoid function | sigmd(x*y)=0 |

log10 | Base-10 Log | log10(x*y)=0 |

log | Natural Log | log(x*y)=0 |

log10() | Base-10 Log | log10(x*y)=0 |

log() | Natural Log | log(x*y)=0 |

tanh() | Hyperbolic Tanget | tanh(x*y)=0 |

tanh() | Hyperbolic Tangent | tanh(x*y)=0 |

All trigonometric functions are in radians (not degrees).

The available operands are listed below with a short description of each and a simple example involving variable *x* and *y*. Equations may be in the form of equalities (=) or inequalities (>,<). For inequalities, the equation may be bounded between lower and upper limits that are also functions of variables.

The available operands are listed below with a short description of each and a simple example involving variable *x* and *y*. Equations may be in the form of equality (=) or inequality (>,>=,<,<=) constraints. For inequalities, the equation may be bounded between lower and upper limits that are also functions of variables.

The available operands are listed below with a short description of each and a simple example involving variable *x* and *y*. For equations may be in the form of equalities (=) or inequalities (>,<). For inequalities, the equation may be bounded between lower and upper limits that are also functions of variables.

The available operands are listed below with a short description of each and a simple example involving variable *x* and *y*. Equations may be in the form of equalities (=) or inequalities (>,<). For inequalities, the equation may be bounded between lower and upper limits that are also functions of variables.

## Equations

(:table border=1 width=50% align=left bgcolor=#EEEEEE cellspacing=0:)

(:table border=1 width=100% align=left bgcolor=#EEEEEE cellspacing=0:)

- | Unary minus | -(x-y) = 0 |

- | Unary minus | -(x-y) = 0 |

- | Unary minus | -(x-y) = 0 |

(y+2/x)^(x*z) * (log(tanh(sqrt(y-x+x^2))+3))^2 = 2+sinh(y)+acos(x+y)+asin(x/y)

(y+2/x)^(x*z) * & (log(tanh(sqrt(y-x+x^2))+3))^2 & = 2+sinh(y)+acos(x+y)+asin(x/y)

There are currently 26 operands for parameters or variables. They are listed below with a short description of each and a simple example involving variable *x* and *y*. For equations may be in the form of equalities (=) or inequalities (>,<). For inequalities, the equation may be bounded between lower and upper limits that are also functions of variables.

The available operands are listed below with a short description of each and a simple example involving variable *x* and *y*. For equations may be in the form of equalities (=) or inequalities (>,<). For inequalities, the equation may be bounded between lower and upper limits that are also functions of variables.

!,#,% | Comment | ! equation #1 (:html:)<br>(:htmlend:) 0 = x[1] + x[2] ! comment |
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!,#,% | Comment | % equation #1 (:html:)<br>(:htmlend:) 0 = x[1] + x[2] ! eqn1 |

!,#,% | Comment | ! equation #1 (:html:)<br>(:htmlend:) 0 = x[1] + x[2] ! comment |

!,#,% | Comment | ! equation #1 (:html:)<br>(:htmlend:) 0 = x[1] + x[2] ! comment |
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!,#,% | Comment | ! comment |

!,#,% | Comment | ! equation #1 (:html:)<br>(:htmlend:) 0 = x[1] + x[2] ! comment |

= | Line Continuation | 0 = x[1] & (:html:)<br>(:htmlend:) + x[2] |

!,#,% | Comment | ! comment |

= | Equality | x=y |

& | Line Continuation | 0 = x[1] & (:html:)<br>(:htmlend:) + x[2] |

= | Line Continuation | 0 = x[1] & \n + x[2] |

= | Line Continuation | 0 = x[1] & (:html:)<br>(:htmlend:) + x[2] |

= | Line Continuation | 0 = x[1] & \n + x[2] |

erf() | Error function | erf(x*y)=0 |

erfc() | Complementary error function | erfc(x*y)=0 |