Ciro Santilli @cirosantilli 40

This is the standard model.

We define it as a linear map where the domain is the same as the image, i.e. an endofunction.

Examples:

Home 2017 TalkTalk 38Mbps nominal, Google M-lab speed test:

Home 2025 Giffgaff

Home 2025 Sky Broadband WiFi Max Hub SR213 (SR213-02-UK-wht) 1GBPS:Admin at 192.168.0.1/ username admin password same as wifi password.

Data that is inscribed in a blockchain as a way to perpetuate the data, rather than to follow the main intended purpose of the given blockchain, e.g. ASCII art instead of financial transactions on the Bitcoin blockchain.

A catalogue for Bitcoin can be found at: Section "Cool data embedded in the Bitcoin blockchain".

See also: existence and uniqueness of solutions of partial differential equations.

On December 19, 2025 a bet was revealed between two DeepMind guys that one of them would have a Lean proof to the problem:

There's a tiny little crosshair that you can drag around to set the center of rotation.

And there's a button to make that crosshair snap: inkscape.org/forums/questions/can-a-pivotingtransfrom-crosshair-be-moved-and-made-to-snap-to-a-node-or-a-grid-point/#c14432

A generalization of the Pythagorean triple infinity question.

Ciro Santilli is a UK resident. He will register as a "solo trader" (slightly funny legal term) and treat donations that he uses for projects as grants, which pay regular income tax:The rates are given at: www.gov.uk/income-tax-rates and are as of writing:

National insurance is also likely going to be paid: www.gov.uk/self-employed-national-insurance-rates:

Fortunately however VAT does not need to be paid.

The amount that will be declared is the same as he grant amount that was requested, e.g. if 100k USD is requested for 1 year, then 100k USD will be pro-rata declared on that year.

Any remaining donations that don't yet meet specific grant goals will be initially treated as cash gifts which pay no tax. If in the future they are used as grant money after further goal amounts are reached, then they will taxed as grants.

Note however that if the donor is UK-based and dies within 7 years of the gift being given, inheritance tax has to be paid on them as per: www.gov.uk/inheritance-tax/gifts, at a maximum of 32% and going to to 0% at 7 years, so let me know from the afterlife.

Ciro paid his bill for £24,321.87 ($32,729.70) on 2026-01-02. Announcements: