Graph a Harmonic Function and its Polynomial Match

Click For Summary
SUMMARY

The discussion centers on graphing a harmonic function of the form (Acos(x) + Bsin(x)) and finding a polynomial with the same zeros. A user requested assistance in creating a visually appealing graph, emphasizing that mathematical accuracy was not a priority. Another participant recommended using Gnuplot, a powerful tool for plotting functions, and provided examples of sine functions plotted with it. The conversation highlights the utility of Gnuplot for visualizing mathematical functions and exporting them in various formats.

PREREQUISITES
  • Understanding of harmonic functions, specifically the form (Acos(x) + Bsin(x))
  • Familiarity with polynomial functions and their zeros
  • Basic knowledge of Gnuplot for function plotting
  • Experience with image formats such as JPG, EPS, and PDF
NEXT STEPS
  • Learn how to use Gnuplot for plotting harmonic functions
  • Explore polynomial interpolation techniques to find polynomials with specific zeros
  • Research the mathematical properties of harmonic functions and their graphical representations
  • Investigate exporting graphs in different formats using Gnuplot
USEFUL FOR

Mathematicians, educators, students in calculus or advanced mathematics, and anyone interested in visualizing harmonic functions and their polynomial matches.

cap.r
Messages
64
Reaction score
0
Hello I am appealing to the computer savvy bunch here and asking for a graph.

I need the graph to show a function that is of the form (Acos(x)+Bsin(X)) it can be simple... just anything harmonic I dont' even need the function you can just draw it. and then I need a polynomial that has the same zeros.

again this just needs to look good, the math doesn't have to be correct you can Photoshop it if that's easier. I have included my drawing of it by hand.
http://img822.imageshack.us/img822/6787/poly.jpg

Uploaded with ImageShack.us

any help would be much appreciated. thank you.
 
Last edited by a moderator:
Physics news on Phys.org
Hello i suggest you to use gnuplot...you can plot any function..and export to jpg or eps or pdf..
have a look at the attachment..one is f2(x)=sin(x) and other is f(x)=2sin(x).
 

Attachments

Similar threads

Python Help solving a geometrical matching issue with Graph Neural Networks
  • · Replies 1 ·
Replies
1
Views
3K
Coefficient Matching for different series
  • · Replies 5 ·
Replies
5
Views
2K
lim x-->0 ##\frac{x tan2x -2xtanx} {(1-cos2x)^2}##
  • · Replies 5 ·
Replies
5
Views
1K
Excel Graph Help: Plotting Experimental Data with Theoretical Model in One Graph
  • · Replies 6 ·
Replies
6
Views
2K
MHB Gaussian Probability: 1 to 2 in tikz
  • · Replies 7 ·
Replies
7
Views
2K
Expanding potential in Legendre polynomials (or spherical harmonics)
  • · Replies 1 ·
Replies
1
Views
2K
MHB Explore Contour Lines in Geogebra: Drawing and Finding Functions
  • · Replies 10 ·
Replies
10
Views
3K
Undergrad {Edit-Solved} Confirmation requested on deriving functions from graphs
  • · Replies 4 ·
Replies
4
Views
1K
Undergrad Alternating Harmonic Numbers are cool, spread the word!
  • · Replies 4 ·
Replies
4
Views
3K
Mathematica Defining a function in Mathematica
  • · Replies 1 ·
Replies
1
Views
3K