Author: J-B Vienney Format: MarkdownItexAdded the definition of the Hasse-Schmidt derivative for polynomials with one indeterminate.
<a href="https://ncatlab.org/nlab/revision/diff/Hasse-Schmidt+derivative/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/Hasse-Schmidt+derivative/2">v2</a>, <a href="https://ncatlab.org/nlab/show/Hasse-Schmidt+derivative">current</a>
Added the definition of the Hasse-Schmidt derivative for polynomials with one indeterminate.
Author: J-B Vienney Format: MarkdownItexAdded definition of Hasse-Schmidt derivative for multivariate polyonomials. Combinatorial explanation. Further goal is to explain the link Hasse-Schmidt derivative / graded bimonoid.
<a href="https://ncatlab.org/nlab/revision/diff/Hasse-Schmidt+derivative/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/Hasse-Schmidt+derivative/5">v5</a>, <a href="https://ncatlab.org/nlab/show/Hasse-Schmidt+derivative">current</a>
Added definition of Hasse-Schmidt derivative for multivariate polyonomials. Combinatorial explanation. Further goal is to explain the link Hasse-Schmidt derivative / graded bimonoid.
Author: J-B Vienney Format: MarkdownItexMade clear that in the definition of the derivative, we must consider the binomial coefficients in the base rig, by writing $\binom{p}{n}.1_{R}$ instead of $\binom{p}{n}$.
<a href="https://ncatlab.org/nlab/revision/diff/Hasse-Schmidt+derivative/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/Hasse-Schmidt+derivative/9">v9</a>, <a href="https://ncatlab.org/nlab/show/Hasse-Schmidt+derivative">current</a>
Made clear that in the definition of the derivative, we must consider the binomial coefficients in the base rig, by writing instead of .