共找到 20 条结果
This is a collection of open problems in Group Theory proposed by more than 300 mathematicians from all over the world. It has been published every 2-4 years in Novosibirsk since 1965, now also in English. This is the 18th Russian edition, which contains 120 new problems and a number of comments on about 1000 problems from the previous editions.
Liouville's 1853 paper, in which he derived in closed form the general local solution of equation $u_{z\bar z}=\exp(u)$, is one of the few papers from the 19th century that 21st century mathematicians routinely quote as motivation for their work. We try and understand the reasons for the enduring importance of this paper. Our conclusions are the following: 1. Mathematics is not cumulative, but lost material may be recovered through examination of ancient works. 2. An apparent paradox is that the degree of dissemination of ideas and concepts among mathematicians is not determined only by geographic or social affiliation (countries, cities, scientific schools, etc.). On the contrary, the existence of common scientific goals makes it possible to transfer and use these concepts. 3. Older papers, because they are not influenced by modern classifications, can help generate ideas that do not arise naturally in a modern framework. Thus, a historical perspective can help bring about new mathematics and indeed, is a necessary dimension of mathematical research.
Objective. Insecure Direct Object Reference (IDOR) or Broken Object Level Authorization (BOLA) are one of the critical type of access control vulnerabilities for modern applications. As a result, an attacker can bypass authorization checks leading to information leakage, account takeover. Our main research goal was to help an application security architect to optimize security design and testing process by giving an algorithm and tool that allows to automatically analyze system API specifications and generate list of possible vulnerabilities and attack vector ready to be used as security non-functional requirements. Method. We conducted a multivocal review of research and conference papers, bug bounty program reports and other grey sources of literature to outline patterns of attacks against IDOR vulnerability. These attacks are collected in groups proceeding with further analysis common attributes between these groups and what features compose the group. Endpoint properties and attack techniques comprise a group of attacks. Mapping between group features and existing OpenAPI specifications is performed to implement a tool for automatic discovery of potentially vulnerable endpoints
Scientists working at CERN’s Large Hadron Collider may be seeing the strongest hints yet of physics beyond the Standard Model — the decades-old theory that explains the fundamental particles and forces of the universe。 By studying incredibly rare particle transformations called “penguin decays,” researchers found behavior that doesn’t fully match t
A decades-old mystery about Saturn has finally been solved thanks to the James Webb Space Telescope。 Scientists discovered that Saturn’s changing “rotation rate” was never caused by the planet speeding up or slowing down, but by powerful winds high in its atmosphere。 Webb’s unprecedented observations revealed that Saturn’s northern lights actively
Scientists used some of the most advanced plasma simulations ever created to uncover how the universe builds enormous magnetic fields out of turbulence。 The discovery could reshape our understanding of stars, black holes, neutron star collisions, and dangerous solar eruptions
Astronomers have finally cracked the mystery behind a strange class of repeating cosmic signals that has baffled scientists for years。 Using Australia’s ASKAP radio telescope, researchers traced the bursts to a rare stellar duo in which a dense white dwarf is relentlessly siphoning material from a nearby red dwarf companion。 As the stolen matter sp
A giant planet nearly 700 light-years away has a bizarre daily weather cycle where mineral clouds appear every morning and vanish by nightfall。 Using the James Webb Space Telescope, astronomers discovered that WASP-94A b’s mornings are filled with clouds made of rock-like minerals, while its evenings are surprisingly clear。 The finding gave scienti
Scientists have successfully tested an AI-designed universal coronavirus vaccine in humans for the first time, finding it to be safe and well tolerated。 The vaccine generated immune responses against multiple coronaviruses, including SARS-CoV-2, SARS, and related bat viruses with pandemic potential。 By targeting features shared across an entire vir
For more than a century, pianists and music teachers have argued over whether a performer’s touch can actually change the tone color of a piano note — and now scientists say the answer is yes。 Using a cutting-edge sensor system that tracked piano key movements at 1,000 frames per second, researchers discovered that elite pianists subtly manipulate
Scientists have developed a solar desalination system that turns seawater into drinking water without creating environmentally damaging brine。 Special laser-textured metal panels use sunlight to evaporate water while automatically moving salt deposits away from the working surface, preventing clogging。 The process was successfully tested with water
As traditional chip miniaturization slows, researchers have found a way to pack more computing power into the same space by stacking silicon circuits in multiple layers。 The new process uses ultra-thin silicon membranes and low-temperature manufacturing techniques to overcome a major obstacle that has long blocked the production of true 3D chips