## Main.Equations History

March 24, 2021, at 04:29 AM by 10.35.117.248 -
Changed lines 28-29 from:
 log10 Base-10 Log log10(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
April 19, 2018, at 03:31 PM by 10.37.1.116 -
Changed line 33 from:
 tanh() Hyperbolic Tanget tanh(x*y)=0
to:
 tanh() Hyperbolic Tangent tanh(x*y)=0

All trigonometric functions are in radians (not degrees).

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. 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

Changed line 48 from:

(: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 -
October 30, 2008, at 03:17 PM by 158.35.225.230 -
Changed lines 70-72 from:
     (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 -
Changed line 15 from:
 ! equation #1 (:html:)
(:htmlend:) 0 = x[1] + x[2] ! comment !,#,% Comment
to:
 !,#,% Comment % equation #1 (:html:)
(:htmlend:) 0 = x[1] + x[2] ! eqn1
October 30, 2008, at 03:13 PM by 158.35.225.230 -
Changed line 15 from:
 !,#,% Comment ! equation #1 (:html:)
(:htmlend:) 0 = x[1] + x[2] ! comment
to:
 ! equation #1 (:html:)
(:htmlend:) 0 = x[1] + x[2] ! comment !,#,% Comment
October 30, 2008, at 03:12 PM by 158.35.225.230 -
Changed line 15 from:
 !,#,% Comment ! comment
to:
 !,#,% Comment ! equation #1 (:html:)
(:htmlend:) 0 = x[1] + x[2] ! comment
October 30, 2008, at 03:11 PM by 158.35.225.230 -
Deleted line 15:
 = Equality x=y
October 30, 2008, at 03:10 PM by 158.35.225.230 -
Changed line 13 from:
to:
Changed lines 15-17 from:
 = Line Continuation 0 = x[1] & (:html:)
(:htmlend:) + x[2]
to:
 !,#,% Comment ! comment = Equality x=y & Line Continuation 0 = x[1] & (:html:)
(:htmlend:) + x[2]
October 30, 2008, at 03:09 PM by 158.35.225.230 -
Changed line 15 from:
 = Line Continuation 0 = x[1] & \n + x[2]
to:
 = Line Continuation 0 = x[1] & (:html:)
(:htmlend:) + x[2]
October 30, 2008, at 03:08 PM by 158.35.225.230 -
Changed line 13 from:
to:
 = Line Continuation 0 = x[1] & \n + x[2]
October 28, 2008, at 09:16 PM by 158.35.225.230 -
 erf() Error function erf(x*y)=0 erfc() Complementary error function erfc(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.

 = Equality x=y < Less than x Greater than x>y >= Greater than or equal x>=y
 - 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.

Changed line 51 from:
 ! Example model that demonstrates a few equations

to:
 ! Example with three equality equations

  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 -
Changed lines 41-62 from:

(: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:

to:

### Operations

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to: