Use this tag for challenges involving integration or differentiation of functions.
8
votes
1answer
237 views
Approximate the Fransén-Robinson constant
Given an input n, output the value of the Fransén-Robinson constant with n digits after the decimal place, with rounding.
Rules
You may assume that all inputs are integers between 1 and 60.
You may ...
5
votes
3answers
141 views
Taylor Series of a Function with Periodic Derivatives
Taylor series are a very useful tool in calculating values of analytic functions that cannot be expressed in terms of elementary functions, using only information about that function at a single point....
4
votes
2answers
179 views
Calculate the Riemann Zeta Function of a Complex Number
Introduction
I found this question that was closed because it was unclear, yet it was a nice idea. I'll do my best to make this into a clear challenge.
The Riemann Zeta function is a special ...
4
votes
3answers
85 views
Symbolic Differentiation of Composed Functions
Symbolic Differentiation 2: Back on the Chain Gang
Task
Write a program that takes in a certain sort of function from stdin and differentiates it with respect to x, using the chain rule.* The input ...
1
vote
1answer
159 views
Build a Calculus Interpreter I [closed]
A struggling manufacturer named Tennessee Instrumental is desperate to get into the calculator business. Problem is, they don't have any software engineers on payroll, and the deadline is coming up ...
24
votes
9answers
2k views
Approximate ∫((e^x)/(x^x))dx
You are to approximate the value of:
Where your input is I.
Rules
You may not use any built-in integral functions.
You may not use any built-in infinite summation functions.
Your code must ...
14
votes
1answer
297 views
Do the Chain Rule
We've had a lot of challenges on differentiation and integration, but none on just solving related rates problems. So in this challenge, you will get a bunch of derivatives (They will be numeric, not ...
20
votes
2answers
667 views
Symbolic Integration of Polynomials
Apply an indefinite integral to a given string. The only rules you will be using are defined as such:
∫cx^(n)dx = (c/(n+1))x^(n+1) + C, n ≠ -1
c, C, and n are all constants.
Specifications:
You ...
16
votes
11answers
1k views
Gamma Function Golf
Given a real number t in (-10^9,13) (not including -10^9 or 13) as input, output Γ(t), also known as the Gamma function, which is defined as follows:
You may not use a built-in Gamma function to ...
16
votes
10answers
1k views
Symbolic Differentiation of Polynomials
Symbolic Differentiation 1: Gone Coefishin'
Task
Write a program that takes in a polynomial in x from stdin (1 < deg(p) < 128) and differentiates it. The input polynomial will be a string of ...
6
votes
1answer
373 views
Evaluate CDF of Student-t distribution
The goal of this codegolf is evaluating the cumulative distribution function of the student-t probability distribution. This is not trivial since there is no closed form and the function is dependent ...
51
votes
9answers
3k views
Help me with differential calculus!
I love programming and know every language, but I suck at math. Unfortunately, my school requires that computers students must take a year of calculus. There's a test next week, and I don't know any ...
3
votes
3answers
341 views
Build the blancmange function
The blancmange function is used as an example in basic calculus of a function that is continuous everywhere, but differentiable nowhere. It achieves this effect by using the sums of ever-diminishing ...
6
votes
2answers
2k views
Determine stability of a system using the Routh-Hurwitz stability criterion
The Routh-Hurwitz is a criteria which serves to prove or disprove the stability of an electric control system.
Idea
Given a system which has an equation of the form P(s)/Q(s) where P(s) and Q(s) are ...
6
votes
1answer
176 views
Numerical Integration through Plotting
Inspired by this on Spiked Math:
In this code golf, you are going to write a numerical integrator. Instead of weighting, you first plot on a graphic canvas pixel-by-pixel or plot on a 2D array, ...
