The notorious Jacobian conjecture can be formulated concretely over the complex numbers as follows. Conjecture 1 (Jacobian Conjecture) Let be a polynomial map in complex variables, whose Jacobian is a non-zero constant. Then is invertible (with polynomial inverse). The condition that the Jacobian is non-zero is equivalent to being locally invertible. (The implication of local … Devamını oku
On Monday, AI platform Hugging Face disclosed an internal data breach , allegedly the work of an “external AI agent.” Now, OpenAI has come forward to claim responsibility, saying the breach was the result of internal testing gone awry. In a blog post published Tuesday afternoon , OpenAI detailed the steps that led the models … Devamını oku
All the big entertainment apps are starting to look the same, and that’s not an accident. For a decade, platforms fought over who would dominate a single format: music, video, podcasts, audiobooks. Now, powered by AI, they’re fighting over something bigger — becoming the app you default to whenever you have time to kill, no … Devamını oku
Twitter and Block co-founder Jack Dorsey announced a new app on Tuesday called Buzz . Positioned as a challenger to Slack and GitHub, Buzz is a group chat platform for the workplace that puts humans and their AI agents in the same conversations. Dorsey wrote on X that Buzz is “model-agnostic, decentralized, self-sovereign, and open … Devamını oku
Generative Bionics unveils humanoid robot with full-body tactile sensing By The Robot Report Staff | July 21, 2026 The Gene.01 humanoid is making its U.S. debut this week. | Source: Generative Bionics Generative Bionics, which developing humanoid robots for industrial applications, this week unveiled Gene.01 at AMD Advancing AI 2026. Built in six months, the … Devamını oku
This website is using a security service to protect itself from online attacks. The action you just performed triggered the security solution. There are several actions that could trigger this block including submitting a certain word or phrase, a SQL command or malformed data. You can email the site owner to let them know you … Devamını oku
Data centers are expected to use one-fifth of the electricity generated in the U.S. by 2035, four times that of today, according to a new report from BloombergNEF . A surge in AI compute will push data center capacity to nearly 200 gigawatts over the next decade, the report predicts. Nearly half of that capacity will … Devamını oku
On Tuesday, Google DeepMind released Gemini 3.6 Flash, 3.5 Flash-Lite, and 3.5 Flash Cyber. Gemini 3.6 Flash is Google’s “workhorse model” that promises improved capabilities in coding, knowledge work, and multimodal performance while reducing token usage by up to 17%, making it cheaper than its predecessor 3.5 Flash. Gemini 3.5 Flash-Lite is the most cost-effective model … Devamını oku
Logitech , mali yılına ilişkin Etki Raporu’nu yayınladı. Rapor, Logitech’in sürdürülebilirlik hedefleri doğrultusunda kaydettiği önemli ilerlemeyi ortaya koyuyor. Baz yıllarına kıyasla Kapsam 1 ve 2 sera gazı emisyonlarını %49, Kapsam 3 sera gazı emisyonlarını ise yüzde 33 oranında azalttı. Logitech CEO’su Hanneke Faber, konuyla ilgili yaptığı açıklamada şunları söyledi: “Son yirmi yılda sürdürülebilirliği işimizin merkezine giderek … Devamını oku
Logitech , mali yılına ilişkin Etki Raporu’nu yayımladı. Rapor, Logitech’in sürdürülebilirlik hedefleri doğrultusunda kaydettiği önemli ilerlemeyi ortaya koyuyor. Baz yıllarına kıyasla Kapsam 1 ve 2 sera gazı emisyonlarını %49, Kapsam 3 sera gazı emisyonlarını ise yüzde 33 oranında azalttı. Logitech CEO’su Hanneke Faber, konuyla ilgili yaptığı açıklamada şunları söyledi: “Son yirmi yılda sürdürülebilirliği işimizin merkezine giderek … Devamını oku