Ciro Santilli @cirosantilli 35

This is a term invented by Ciro Santilli, and refers to a loose set of uncommon Bitcoin inscription methods that involve inscribing one or a small number of payloads per Bitcoin transaction.

These methods are both inefficient and hard to detect and decode, partly because Bitcoin Core does not index spending transactions: bitcoin.stackexchange.com/questions/61794/bitcoin-rpc-how-to-find-the-transaction-that-spends-a-txo. This makes finding them all that more rewarding however.

On the other hand, they do have the advantage of not depending on any block size limits, as their individual transactions are very small.

Inscribing anything large would however take a very long time, as you'd have to wait until the previous payload chunk is confirmed before going to the next one. This alone makes the format impractical perhaps.

Known examples:

First we write a vector field as:Note how we are denoting each component of $F$ as $F^i$ with a raised index.

Then, the divergence can be written in Einstein notation as:

It is common to just omit the variables of the function, so we tend to just say:or equivalently when referring just to the operator:

TODO confirm, but looks like it, e.g. E. Coli starts DNA replication before the previous one finished.

No, but why?

The definition of the "dot product" of a general space varies quite a lot with different contexts.

Most definitions tend to be bilinear forms.

We use the unqualified generally refers to the dot product of Real coordinate spaces, which is a positive definite symmetric bilinear form. Other important examples include:The rest of this section is about the ${\mathbb{R}}^n$ case.

The positive definite part of the definition likely comes in because we are so familiar with metric spaces, which requires a positive norm in the norm induced by an inner product.

The default Euclidean space definition, we use the matrix representation of a symmetric bilinear form as the identity matrix, e.g. in ${\mathbb{R}}^3$:so that:

Remarkable 2 is really, really good. Relatively fast refresh + touchscreen is amazing.

No official public feedback forum unfortunately:

PDF table of contents could be better: twitter.com/cirosantilli/status/1459844683925008385