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Andrius Kulikauskas

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2016 birželio 19 d., 13:46 atliko AndriusKulikauskas -
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See: [[Math]]

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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
>><<

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