ColinHayhurst

Nice. No tracking and no ads; been down that path! It will be interesting to see where and how you use AI.

They do

Excuse the self-promotion but Mojeek offers a web search API (>9 billion pages): https://www.mojeek.com/services/search/web-search-api/

Mojeek can provide 40 results at a time. For example: https://www.mojeek.com/search?q=apple&t=40

You can get up to 1,000 results. For example: https://www.mojeek.com/search?q=apple&s=991

Up to 100 results from the API. https://www.mojeek.com/services/search/web-search-api/

Discussed here: https://blog.mojeek.com/2023/02/are-search-engines-deleting-...

Disclosure: Mojeek CEO

Excuse the self-promotion but Mojeek is £3/1,000: https://www.mojeek.com/services/search/web-search-api/

Paper here: https://arxiv.org/pdf/2503.08733

TL;DR - replace one big singularity with multiple singularities.

As in last sentence there is "The only difference between this work and the standard model is that the temporal singularity occurred only once in the latter, but more than once in the former."

tldr

You missed independent search engine Mojeek (UK), and which Kagi uses.

> The geometric product is just the quaternion product broken up into scaler and vector parts.

The geometric product works in any dimensions. They have a clear geometric intepretation. Rotations and translations can done using the same algebraic operations.

ORG (Open Rights Group) as a UK org might provide good recommendations.

I saw the show in London. As a show it was brilliant and an unforgettable night. As live music performances better around then were The Cure and Mike Oldfield.

Credibility of the article plummeted when I got to that sentence, and especially since using name dropping.

Indeed you didn't; apologies.

Storage is an option here: https://www.mojeek.com/services/search/web-search-api/

Who said they are scraping? I can confirm they are certainly paying for the Mojeek API https://www.mojeek.com/services/search/web-search-api/

p281 for Dirac equation. But I suggest you start at least from the beginning of Chapter 8. Earlier, obviously if you don't know Geometric Algebra. It's worth it; many examples but one is that the four Maxwell equations are expressed as one compact equation with geometric intuition.

Complex numbers and (Pauli/Dirac) matrices not required if you use Geometric Algebra. I highly recommend the book by Doran and Lasenby [0], or you can get the details from their papers, notably [1].

[0] Geometric Algebra for Physicists, CUP, 2003

[1] https://arxiv.org/abs/quant-ph/0509178

Mojeek CEO here: Our business model is our paid API and contextual, no-tracking ads.

> LLMs break the social contract of the internet

The legal concept of fair usage has and is being challenged, and will best tested in court. Is the Golden Age of Fair Use Over? Maybe [0].

[0] https://blog.mojeek.com/2024/05/is-the-golden-age-of-fair-us...

Mostly because Google bought, developed, acquired or effectively control all the major distribution points with default placement deals: eg Apple, Samsung, Chrome, Android, Firefox. In time remedies are coming though, in the antitrust case lost versus DoJ.

Another major factor is that building a search index and algorithms that searches across billions of pages with good enough latency is very hard. Easy enough for 10s of millions scale search but a different challenge for billions.

Some claim(ed) click-query data is needed at scale, and are hoping for that remedy. Our take is what is the point of replicating Google. Anyway, will this data be free or low cost? You know the answer.

Cloud infrastructure is very expensive. We save massively on costs by building our own servers, but that means capital outlay.

We are @mojeek

As Porter explained in 1980 there are three ways to compete successfully:

1. On price; race to the bottom or do free with ads

2. Differentiation

3. Focus - targeting a specific market segment

Some things don't change. Land grabbers tend to head down route 1.

I asked for long tail blog posts about interesting places to visit in Paris. I got one result; from an obscure website called Vogue.

Congrats Viktor.

> The feedback cycle in web search engine development is very long....Overall the approach taken to improving search result quality is looking at a query that does not give good results, asking what needs to change for that to improve, and then making that change. Sometimes it’s a small improvement, sometimes it’s a huge game changer.

Yes, this resonates with our experience

Google indexes widely. DuckDuckGo and Kagi have small specialised indexes and as such rely on the larger indexes like Google, Bing and Mojeek. DuckDuckGo used to use Yandex. More information here: https://www.searchenginemap.com/

Yes: https://blog.mojeek.com/2021/09/multiple-choice-in-search.ht...

Computer simulations of this crash were pioneering and done by peers in the engineering consulting world [0]. I don't remember the details but I suspect the cost of those back then were on a par with the cost of the actual full-scale physical test. How things have changed.

A few years later and beyond, I got deeply involved in developing similar and new simulation algorithms and techniques for impact, explosions and safety which we and customers applied in the defence, space and other industries [1].

[0] https://resources.inmm.org/system/files/patram_proceedings/1...

[1] https://scholar.google.com/citations?user=XYplI1kAAAAJ&hl=en...

It's a very long article so understandable that you did not read on and learn about other search engines crawling beyond GBY. Still there are indeed very few that are crawling at web scale, and internationally. We are at 8 billion pages and totally independent [0], hence expressing our concerns to 404 media after being blanked by Reddit.

[0] https://www.mojeek.com/about/why-mojeek

> let's assume firefox is forced to allow people to make a choice of the default search engine

let assume apple is forced to allow people to make a choice of the default search engine in safari then google might stop paying apple, and ...

>Basically all 'independent' search engines piggyback off Google or Bing

Incorrect: https://www.mojeek.com/about/why-mojeek