See: Math

Hi Kirby,

I noticed this book "Quantum calculus" http://www.amazon.com/exec/obidos/ASIN/0387953418/ref=nosim/ericstreasuretro

It's about doing calculus without taking limits. I'm curious if it might have some ideas relevant for your "delta-calculus" and "lambda-calculus" distinction.

It came up for me because I'm studying the q-analogue of simplexes. I have a combinatorial interpretation (giving successive vertices weights 1, q, q2, q3... and giving all the edges weight 1/q). I found an algebraic version of this at this page: http://mathworld.wolfram.com/q-BinomialCoefficient.html where they cite the "Quantum calculus" book above.

I'm studying different combinatorial interpretations of the q-analogue for binomial coefficients. I hope soon to share a long letter I've been writing to Foundations of Math group about "implicit math" vs. explicit math, with results regarding simplexes, the "field with one element", polytopes, etc.

Andrius

Parsiųstas iš http://www.ms.lt/sodas/Book/QAnalogue

Puslapis paskutinį kartą pakeistas 2016 birželio 19 d., 13:46