Finding the range of the paramter space in Mathematica

Click For Summary
SUMMARY

This discussion focuses on determining the parameter space for a function f[a, b] in Mathematica, constrained by the inequalities 300 < f < 400. It is established that there is typically no analytic solution for this problem. Instead, users should solve the equations f(a, b) = 300 and f(a, b) = 400 for one variable, either a or b, to identify boundaries. Additionally, plotting the function while enforcing the condition 300 < f < 400 provides a visual representation of the parameter space.

PREREQUISITES
  • Understanding of Mathematica syntax and functions
  • Familiarity with solving inequalities
  • Basic knowledge of graphical representation of functions
  • Concept of parameter space in mathematical functions
NEXT STEPS
  • Learn how to use Mathematica's Solve function for inequalities
  • Explore the Manipulate function in Mathematica for interactive parameter adjustments
  • Study the use of ContourPlot in Mathematica for visualizing parameter boundaries
  • Investigate numerical methods for approximating solutions in Mathematica
USEFUL FOR

Mathematics students, researchers in computational science, and anyone using Mathematica for parameter optimization in functions.

Safinaz
Messages
255
Reaction score
8
If I have a function depends on for example 2 parameters f[a,b], and I know the value of this function should range between 300 < f < 400, how I know the possible ranges of the parameters in Mathematica.

Bests,
S.S.
 
Physics news on Phys.org
You want to find the part of the parameter space of (a,b) where the function satisfies those inequalities?
In general, that does not have an analytic solution, but you can try to solve f(a,b)=300 and f(a,b)=400 for either a or b, then you can calculate and draw the boundaries. Alternatively, plot f - but only if 300 < f < 400. That gives you a graphical representation.
 
  • Like
Likes   Reactions: 1 person

Similar threads

Mathematica How do you calculate determinants and eigenvalues in Mathematica?
  • · Replies 3 ·
Replies
3
Views
4K
Mathematica Development (flattened version) of a cylinder cut by a curved surface
  • · Replies 4 ·
Replies
4
Views
3K
Mathematica Extract points from an interpolated curve (not a function)
  • · Replies 4 ·
Replies
4
Views
2K
Mathematica Explanations On Entering Various Equations Into Mathematica?
  • · Replies 11 ·
Replies
11
Views
3K
Mathematica Solve complex equation analytically
  • · Replies 19 ·
Replies
19
Views
3K
Mathematica Trouble with using the command WhenEvent in Mathematica
  • · Replies 2 ·
Replies
2
Views
3K
Mathematica How can I save computations with multiple parameters in Mathematica?
  • · Replies 1 ·
Replies
1
Views
2K
Mathematica Function that integrates another function, with units
  • · Replies 2 ·
Replies
2
Views
2K
Mathematica Derivative, i.e. D[ ] , of Re [ something ]
  • · Replies 2 ·
Replies
2
Views
2K
Mathematica Solution to Associate Legendre's Eq
  • · Replies 1 ·
Replies
1
Views
2K