## 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.:)

(: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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(:html:)

<style type="text/css">

div.table-title {

display: block;

margin: auto;

max-width: 600px;

padding:5px;

width: 100%;

}

.table-title h3 {

color: #fafafa;

}

.table-fill {

background: white;

border-radius:3px;

border-collapse: collapse;

height: 320px;

margin: auto;

max-width: 600px;

padding:5px;

width: 100%;

box-shadow: 0 5px 10px rgba(0, 0, 0, 0.1);

animation: float 5s infinite;

}

th {

color:#D5DDE5;;

background:#1b1e24;

border-bottom:4px solid #9ea7af;

border-right: 1px solid #343a45;

text-align:left;

vertical-align:middle;

}

th:first-child {

border-top-left-radius:3px;

}

th:last-child {

border-top-right-radius:3px;

border-right:none;

}

tr {

border-top: 1px solid #C1C3D1;

border-bottom-: 1px solid #C1C3D1;

color:#666B85;

font-weight:normal;

}

tr:hover td {

border-top: 1px solid #22262e;

border-bottom: 1px solid #22262e;

}

tr:first-child {

border-top:none;

}

tr:last-child {

border-bottom:none;

}

tr:nth-child(odd) td {

background:#EEEEEE;

}

tr:last-child td:first-child {

border-bottom-left-radius:3px;

}

tr:last-child td:last-child {

border-bottom-right-radius:3px;

}

td {

background:#FFFFFF;

padding:5px;

text-align:left;

vertical-align:middle;

border-right: 1px solid #C1C3D1;

}

td:last-child {

border-right: 0px;

}

th.text-left {

text-align: left;

}

th.text-center {

text-align: center;

}

th.text-right {

text-align: right;

}

td.text-left {

text-align: left;

}

td.text-center {

text-align: center;

}

td.text-right {

text-align: right;

}

</style>

(:htmlend:)

(:html:)

<style>

.button {

border-radius: 4px;

background-color: #1e90ff;

border: none;

color: #FFFFFF;

text-align: center;

font-size: 28px;

padding: 20px;

width: 250px;

transition: all 0.5s;

cursor: pointer;

margin: 5px;

}

.button span {

cursor: pointer;

display: inline-block;

position: relative;

transition: 0.5s;

}

.button span:after {

content: '\00bb';

position: absolute;

opacity: 0;

top: 0;

right: -20px;

transition: 0.5s;

}

.button:hover span {

padding-right: 25px;

}

.button:hover span:after {

opacity: 1;

right: 0;

}

</style>

(:htmlend:)

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|| border=~~1~~ width=80%

to:

|| border=0 width=80%

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

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

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

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

to:

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

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

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

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

to:

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

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All trigonometric functions are in radians (not degrees).

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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.

to:

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.

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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.

to:

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.

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

to:

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

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

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

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

to:

(y+2/x)^(x*z) * &

(log(tanh(sqrt(y-x+x^2))+3))^2 &

= 2+sinh(y)+acos(x+y)+asin(x/y)

(log(tanh(sqrt(y-x+x^2))+3))^2 &

= 2+sinh(y)+acos(x+y)+asin(x/y)

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to:

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.

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

to:

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

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

to:

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

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|| !,#,% ||Comment || ! comment ||

to:

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

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|| border=1 width=~~50~~%

to:

|| border=1 width=80%

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

to:

|| !,#,% ||Comment || ! comment ||

|| = ||Equality || x=y ||

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

|| = ||Equality || x=y ||

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

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

to:

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

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|| border=1 width=~~30~~%

to:

|| border=1 width=50%

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

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

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

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