Using interpolating functions in Mathematica

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SUMMARY

This discussion centers on using interpolating functions in Mathematica to find specific values. The user has an interpolating function for z(rho) and seeks to determine the value of rho when z(rho) equals 1. The recommended approach is to utilize the FindRoot function in Mathematica to solve this equation numerically.

PREREQUISITES
  • Familiarity with Mathematica's syntax and functions
  • Understanding of interpolating functions in Mathematica
  • Basic knowledge of numerical methods for solving equations
  • Experience with the FindRoot function in Mathematica
NEXT STEPS
  • Explore the documentation for Mathematica's FindRoot function
  • Learn about creating and manipulating interpolating functions in Mathematica
  • Study numerical methods for root-finding in computational mathematics
  • Investigate examples of solving equations with interpolating functions in Mathematica
USEFUL FOR

Mathematica users, computational mathematicians, and anyone involved in numerical analysis or solving equations using interpolating functions.

fuzzyfunnel
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I have an interpolating function in mathematica and just want to find when it takes a certain value, seems simple, but I can't do it.

i.e. I solved an equation numerically for z(rho) and got interpolating function x for z.

Now I want to know for which value of rho, z(rho)=1 for example.

Anyone know how?
 
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