Given a set of monotonically increasing data points (in 2D), I want to fit a polynomial to the data which is monotonically increasing over the domain of the data. If the highest x value is 100, I don’t care what the slope of the polynomial is at x=101. I’d also like to keep the degree […]

I was wondering if anyone could help me out with finding a nice introductory introductory text for topological data analysis (I’m speaking as somebody who has two semesters of experience with topology, and much less experience with data analysis). Are there any self-contained elementary resources on the subject? And if not, is there a sort […]

I’m studying for the GRE and came across several questions that I was unable to answer in a practice booklet, even after looking at the answer and trying to work backwards, and searching google and other sites for helpful hints. I think I am missing a fundamental understanding or useful heuristic for solving many of […]

Let’s say that I need a computer program to generate a function that fits a data set which has $(x,y)$ data points. Let’s say that I get the data set one point at a time, I don’t know how many data points there are, and I have a finite amount of memory for storage as […]

Intereting Posts

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Conjectured compositeness tests for $N=b^n \pm b \pm 1$
How to find the shortest proof of a provable theorem?
What's a good book for a beginner in high school math competitions?
minimal polynomial of power of algebraic number
Example of Tetration in Natural Phenomena
Textbook with proof that product of two Gaussian functions is also Gaussian
show continuity of $\frac{xy}{\sqrt{x^2+y^2}}$
Are there any elegant methods to classify of the Gaussian primes?
Given complex $|z_{1}| = 2\;\;,|z_{2}| = 3\;\;, |z_{3}| = 4\;\;$ : when and what is $\max$ of $|z_{1}-z_{2}|^2+|z_{2}-z_{3}|^2+|z_{3}-z_{1}|^2$