I Any tools that can help find the equation for a set of data?

  • I
  • Thread starter Thread starter Haorong Wu
  • Start date Start date
  • Tags Tags
    Data Set Tools
AI Thread Summary
To find the equation for a set of data represented by the function c_{x,y}=f(x,y), regression analysis is recommended as a primary tool. While it is typically used for identifying linear or nonlinear relationships, it can also handle more complex functions, including those with absolute values and factorials. Eureqa, a sophisticated tool, is noted for its ability to analyze large datasets and derive formulas that describe them. Users are encouraged to explore these methods to uncover the desired function. The discussion emphasizes the potential of these tools in mathematical modeling.
Haorong Wu
Messages
417
Reaction score
90
TL;DR Summary
Are there any tools that can help me find the equation for a given set of data?
Suppose that I can generate the result of a function ## c_{x,y}=f(x,y)## by a method not involving the function ##f##. I need to find ##f(x,y)## now. The expression of ##f(x,y)## is expected to contain basic algebra operation (+-*/), power, absolute value and factorial.

I have tried to find it manually but failed (##f(x,y)## exists, I am sure). So are there any tools that can help?

Thanks.
 
Mathematics news on Phys.org
'regression analysis' is the term to search for. There are a plethora of methods to help you here.
 
Arjan82 said:
'regression analysis' is the term to search for. There are a plethora of methods to help you here.
Thanks, Arjan82. I have heard of it. But according to my memory, it may be mainly used to find linear or nonlinear relations or find coefficients when the basic form of the function is given. Could this be used when the function contains absolute value and factorial? I am still reading Wikipedia.
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
View full post »
Thread 'Imaginary Pythagoras'

Thread 'Imaginary Pythagoras'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Similar threads

I Finding a Rational Function with data (Pade approximation)
Replies
4
Views
2K
I Finding the Largest (or smallest) Value of a Function - given some constant symmetric errors
Replies
3
Views
1K
I Best way to fit three functions
Replies
2
Views
1K
I Partial Differential Equation solved using Products
Replies
2
Views
2K
I Statistics proof: y = k x holds for a data set
Replies
4
Views
2K
I Finding multinomial coefficients by evaluation?
Replies
13
Views
2K
B Creating Equation Based on Data Set of x,y Values
Replies
4
Views
5K
I Time evolution of the electromagnetic wavefunction on a lattice
Replies
9
Views
2K
I Product of functions to express any function
Replies
5
Views
2K
I Regression Prediction with Time Series Data
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top