Equations

Main.Equations History

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March 24, 2021, at 04:29 AM by 10.35.117.248 -
Changed lines 28-29 from:
log10Base-10 Loglog10(x*y)=0
logNatural Loglog(x*y)=0
to:
log10()Base-10 Loglog10(x*y)=0
log()Natural Loglog(x*y)=0
April 19, 2018, at 03:31 PM by 10.37.1.116 -
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tanh()Hyperbolic Tangettanh(x*y)=0
to:
tanh()Hyperbolic Tangenttanh(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.

Changed line 9 from:

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.

June 16, 2015, at 06:48 PM by 45.56.3.184 -
Deleted lines 0-1:

Equations

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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:)

December 04, 2008, at 03:02 PM by 158.35.225.227 -
Deleted lines 21-23:
-Unary minus-(x-y) = 0
-Unary minus-(x-y) = 0
-Unary minus-(x-y) = 0
October 30, 2008, at 03:46 PM by 158.35.225.230 -
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October 30, 2008, at 03:17 PM by 158.35.225.230 -
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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)
October 30, 2008, at 03:16 PM by 158.35.225.230 -
Changed line 11 from:

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.

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.

October 30, 2008, at 03:14 PM by 158.35.225.230 -
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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
October 30, 2008, at 03:13 PM by 158.35.225.230 -
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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
October 30, 2008, at 03:12 PM by 158.35.225.230 -
Changed line 15 from:
!,#,%Comment! comment
to:
!,#,%Comment! equation #1 (:html:)<br>(:htmlend:) 0 = x[1] + x[2] ! comment
October 30, 2008, at 03:11 PM by 158.35.225.230 -
Deleted line 15:
=Equalityx=y
October 30, 2008, at 03:10 PM by 158.35.225.230 -
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to:
Changed lines 15-17 from:
=Line Continuation0 = x[1] & (:html:)<br>(:htmlend:) + x[2]
to:
!,#,%Comment! comment
=Equalityx=y
&Line Continuation0 = x[1] & (:html:)<br>(:htmlend:) + x[2]
October 30, 2008, at 03:09 PM by 158.35.225.230 -
Changed line 15 from:
=Line Continuation0 = x[1] & \n + x[2]
to:
=Line Continuation0 = x[1] & (:html:)<br>(:htmlend:) + x[2]
October 30, 2008, at 03:08 PM by 158.35.225.230 -
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to:
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=Line Continuation0 = x[1] & \n + x[2]
October 28, 2008, at 09:16 PM by 158.35.225.230 -
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erf()Error functionerf(x*y)=0
erfc()Complementary error functionerfc(x*y)=0
September 25, 2008, at 07:34 PM by 158.35.225.230 -
Changed lines 11-12 from:

There are currently 21 operands for parameters or variables. They are listed below with a short description of each and a simple example involving variable x and y.

to:

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.

Added lines 15-19:
=Equalityx=y
<Less thanx<y
<=Less than or equalx<=y
>Greater thanx>y
>=Greater than or equalx>=y
Added lines 21-23:
-Unary minus-(x-y) = 0
-Unary minus-(x-y) = 0
-Unary minus-(x-y) = 0
Changed lines 47-48 from:

A couple differential and algebraic equations are shown below. The steady-state solution is p=2, x=-1.0445, y=0.1238, and z=-1.0445. For steady-state solutions the differential variables ($x) are set to zero. Variables x, y, and z were not given initial values. In the absence of an initial condition, variables are set to a default value of 1.0.

to:

A couple differential and algebraic equations are shown below. For steady-state solutions the differential variables ($x) are set to zero. Variables x, y, and z were not given initial values. In the absence of an initial condition, variables are set to a default value of 1.0.

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 ! Example model that demonstrates a few equations
to:
 ! Example with three equality equations
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  The steady-state solution is:
   p=2
   x=-1.0445
   y=0.1238
   z=-1.0445.  

(:cellnr:)

 ! Example with an inequality
 Model example
   Variables
     x
     y
     z
   End Variables

   Equations
     x = 0.5 * y
     0 = z + 2*x
     x < y < z
   End Equations
 End Model
September 25, 2008, at 06:21 PM by 158.35.225.230 -
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(:table class='markup horiz' align='left':) (:cellnr class='markup1':)

! Example model that demonstrates a few equations
Model example
  Parameters
    p = 2
  End Parameters

  Variables
    x
    y
    z
  End Variables

  Equations
    exp(x*p)=y
    z = p*$x + x
    (y+2/x)^(x*z) * (log(tanh(sqrt(y-x+x^2))+3))^2 = 2+sinh(y)+acos(x+y)+asin(x/y)
  End Equations
End Model
to:

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

 ! Example model that demonstrates a few equations
 Model example
   Parameters
     p = 2
   End Parameters

   Variables
     x
     y
     z
   End Variables

   Equations
     exp(x*p)=y
     z = p*$x + x
     (y+2/x)^(x*z) * (log(tanh(sqrt(y-x+x^2))+3))^2 = 2+sinh(y)+acos(x+y)+asin(x/y)
   End Equations
 End Model
September 25, 2008, at 04:08 PM by 158.35.225.230 -
Changed lines 9-10 from:

Equation operands

to:

Operations

Changed line 37 from:

Equation Example

to:

Example