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Quadratic forms beyond arithmetic

Quadratic Forms Beyond Arithmetic Alexander Merkurjev Raman Parimala Communicated by Notices Associate Editor Han-Bom Moon 1 . Introduction The concept of quadratic forms can be traced back to ancient civilizations such as the Babylonians and Greeks. The Greeks, particularly Euclid in his famous work Elements, presented geometric methods for solving quadratic equations. The Greeks’ focus on geometry and their methods continued to influence mathematicians for centuries. Rules for quadratic equat

Quadratic Forms Beyond Arithmetic

Quadratic Forms Beyond Arithmetic Alexander Merkurjev Raman Parimala Communicated by Notices Associate Editor Han-Bom Moon 1 . Introduction The concept of quadratic forms can be traced back to ancient civilizations such as the Babylonians and Greeks. The Greeks, particularly Euclid in his famous work Elements, presented geometric methods for solving quadratic equations. The Greeks’ focus on geometry and their methods continued to influence mathematicians for centuries. Rules for quadratic equat

SIOF (Scheme in One File) – A Minimal R7RS Scheme System

SIOF (Scheme In One File) - A Minimal R7RS Scheme System SIOF is a portable interpreter for the R7RS Scheme programming language. It can be built from a single C source file siof.c; there are no OS- or hardware-specific parts, no compiler-specific tricks, no dependency on platform-specific building tools. There is no distributives or packages: just compile the source file with your favorite C compiler, link it with the standard C runtime libraries and be done with it. For some platforms, precom

Bitcoin falls below $117,000 after Trump crypto bills are blocked before vote

The price of bitcoin was last down 2.8% at $116,516.00, according to Coin Metrics. That marks a pullback from the day's high of $120,481.86. Bitcoin fell below the $117,000 level on Tuesday after cryptocurrency-related bills were blocked in the House of Representatives. The drop comes on the heels of multiple crypto-related bills failing to overcome a procedural hurdle in the House, with 13 Republicans voting with Democrats to block the motion in a 196-223 vote. In recent days, bitcoin has be

Five EU countries to test age-check app under new child safety rules

France, Spain, Italy, Denmark, and Greece are preparing to test a new age verification system as part of the EU’s push to regulate how children access online content. Here are the details. The pilot program, announced by the European Commission on Monday (via Reuters), is built on the same technical standards as the upcoming European Digital Identity Wallet, which is set to launch across the EU next year. The move comes alongside new EU guidelines aimed at helping platforms comply with the Dig

The EU is testing a prototype age verification app

The European Union is piloting a blueprint for age verification apps in Denmark, Greece, Spain, France, and Italy that aims to make it easier for online platforms to comply with rules that require them to protect minors. The app prototype was announced on Monday alongside guidelines that online platforms are recommended to adopt in order to comply with the bloc’s Digital Services Act (DSA). “Making sure our children and young people are safe online is of paramount importance to this Commission,

Malware found in official gravityforms plugin indicating supply chain breach

Update 7-12-2025 06:00 UTC: We have observed some activity in regard to one of the backdoors that involves a gf_api_token parameter. The IP address 193.160.101.6 tries to request, for every site, the following URLs with a spoofed user agent: /wp-content/plugins/gravityforms_2.9.12/notification.php?gf_api_token=Cx3VGSwAHkB9yzIL9Qi48IFHwKm4sQ6Te5odNtBYu6Asb9JX06KYAWmrfPtG1eP3&action=ping /wp-content/plugins/gravityforms_2.9.11.1/notification.php?gf_api_token=Cx3VGSwAHkB9yzIL9Qi48IFHwKm4sQ6Te5odNt

Malware Found in Official GravityForms Plugin Indicating Supply Chain Breach

Update 8-11-2025 06:00 UTC: We have observed some activity in regard to one of the backdoors that involves a gf_api_token parameter. The IP address 193.160.101.6 tries to request, for every site, the following URLs with a spoofed user agent: /wp-content/plugins/gravityforms_2.9.12/notification.php?gf_api_token=Cx3VGSwAHkB9yzIL9Qi48IFHwKm4sQ6Te5odNtBYu6Asb9JX06KYAWmrfPtG1eP3&action=ping /wp-content/plugins/gravityforms_2.9.11.1/notification.php?gf_api_token=Cx3VGSwAHkB9yzIL9Qi48IFHwKm4sQ6Te5odNt

WordPress Gravity Forms developer hacked to push backdoored plugins

The popular WordPress plugin Gravity Forms has been compromised in what seems a supply-chain attack where manual installers from the official website were infected with a backdoor. Gravity Forms is a premium plugin for creating contact, payment, and other online forms. Based on statistic data from the vendor, the product is isntalled on around one million websites, some belonging to well-known organizations like Airbnb, Nike, ESPN, Unicef, Google, and Yale. Remote code execution on the server

Disney and ITV partner up to show each other’s shows on their streaming services

Disney and the British free-to-air broadcaster ITV have launched a new partnership that will allow them to show each other’s shows in an effort to reach new audiences. ITV viewers will be able to watch shows including Only Murders in the Building, Andor, and The Bear – which lives on Disney+ in the UK – while Disney will take advantage of ITV’s various dramas and reality TV offerings. Mr Bates vs The Post Office, ITV’s BAFTA award-winning four-part dramatization of the British Post Office scand

Meta, TikTok can’t toss wrongful death suit from mom of “subway surfing” teen

Section 230 has so far failed to shield Meta and TikTok owner ByteDance from a lawsuit raised by a mother who alleged that her son's wrongful death followed a flood of "subway surfing" videos platforms intentionally targeted to teens in New York. In a decision Monday, New York State Supreme Court Judge Paul Goetz largely denied social media companies' motions to dismiss claims they argued should be barred under Section 230 and the First Amendment. Goetz said that the mother, Norma Nazario, had

Tech firms face demands to stop illegal content going viral

Tech firms face demands to stop illegal content going viral Oliver Griffiths, online safety group director at Ofcom, said its proposed measures seek to build on existing UK online safety rules but keep up with "constantly evolving" risks. These could also include making some larger platforms assess whether they need to proactively detect terrorist material under further online safety measures. The UK regulator published a consultation on Monday seeking views on further protections to keep cit

Denmark to tackle deepfakes by giving people copyright to their own features

The Danish government is to clamp down on the creation and dissemination of AI-generated deepfakes by changing copyright law to ensure that everybody has the right to their own body, facial features and voice. The Danish government said on Thursday it would strengthen protection against digital imitations of people’s identities with what it believes to be the first law of its kind in Europe. Having secured broad cross-party agreement, the department of culture plans to submit a proposal to ame

Social Media Replaced Zines. Now Zines Are Taking the Power Back

One sunny afternoon in May, a century-old power plant in Brooklyn was buzzing—not with electricity, but with hundreds of creatives congregating at the Black Zine Fair. Handmade booklets piled up on table after table, forming vast paper topographies of politics and activism and culture. Marginalized groups in skating! Fictional characters “that probably made me queer”! Someone else presented zines dedicated to all the TV shows they had recorded onto VHS. Still more tables hosted zine assembly. Ev

The 10 Best Steam Next Fest Games You Need to Wishlist

It's nearly time for the Steam summer sale, which is one of the biggest retail events for patient PC gamers. It's also the perfect time to find new and innovative indie games to add to your wishlist: Before each big Steam sale, Valve runs a Next Fest event to let developers show off their projects, get feedback and build hype before their big release. Summer 2025's Next Fest has been chock full of Hades-likes, co-op hack-and-slash adventures and other reliably entertaining games but some of th

Meta cracks down on nudify apps after being exposed

Meta is suing a company that advertised generative AI apps on its social media platforms that enable users to “nudify” people without their consent. The lawsuit against Joy Timeline comes after hundreds of ads for the digital undressing apps were discovered on Meta’s Facebook, Messenger, Instagram, and Threads platforms by a CBS News investigation published last week. “This legal action underscores both the seriousness with which we take this abuse and our commitment to doing all we can to prot

FTC investigates “tech censorship,” says it’s un-American and may be illegal

The Federal Trade Commission today announced a public inquiry into alleged censorship online, saying it wants "to better understand how technology platforms deny or degrade users' access to services based on the content of their speech or affiliations, and how this conduct may have violated the law." "Tech firms should not be bullying their users," said FTC Chairman Andrew Ferguson, who was chosen by President Trump to lead the commission. "This inquiry will help the FTC better understand how t

Trump’s FTC is looking into censorship on tech platforms

The Federal Trade Commission announced on Thursday that it will launch a public inquiry into “censorship by tech platforms,” soliciting comments from people who feel they have been demonetized, banned, or otherwise censored due to their speech or affiliations. “Tech firms should not be bullying their users,” said FTC Chairman Andrew Ferguson in a statement. “This inquiry will help the FTC better understand how these firms may have violated the law by silencing and intimidating Americans for spe

Study of TikTok, X ‘For You’ feeds in Germany finds far-right political bias ahead of federal elections

Recommendation algorithms operated by social media giants TikTok and X have shown evidence of substantial far-right political bias in Germany ahead of a federal election that takes place Sunday, according to new research carried out by Global Witness. The non-government organization (NGO) undertook an analysis of social media content displayed to new users via algorithmically sorted “For You” feeds — finding both platforms skewed heavily toward amplifying content that favors the far-right AfD p