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1 vote

A definition of the fractional derivative

I believe my way corresponds to the Grunwald-Letnikov definition. Here is a nice article explaining the motivation behind fractional derivatives: http://www3.nd.edu/~msen/Teaching/UnderRes/FracCalc.pd …
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7 votes
3 answers
894 views

A definition of the fractional derivative

I was investigating the idea of fractional derivatives and devised the following definition. WHich definition is it equivalent to and can I have a reference for it? $$\frac{d^n}{dx^n}f(x) = \lim_{h \ …
Halbort's user avatar
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3 votes
1 answer
335 views

Minimal Birthdays

In combinatorial game theory: The birthday of a game is defined recursively as 1 plus the maximal birthday of its options, with the zero game having birthday 0. Suppose we define the quasi-birthday o …
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0 votes
1 answer
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Forbidden Tripartite Graphs

I was looking at extremal graph theory. I have understood the proofs of upper bounds for the Zarankiewicz problem which basically states: What can you say about the edges of a graph with $n$ vertices …
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5 votes
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Generalization of Sprague-Grundy Theorem

In my research on Combinatorial Game Theory, I used a certain theorem that is essentially a generalization of the Sprague-Grundy theorem. Because the result hinges too much on the work of others to be …
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