close

Mathematics

Mathematics

Scientists discover an unexpected link between number theory and evolutionary genetics.

Perhaps the purest type of mathematics is number theory, which focuses on the properties of positive integers. It might appear to be far too abstract to be applicable to the natural world at first glance. Truth be told, the persuasive American number scholar Leonard Dickson expressed, "Say thanks to God that the number hypothesis is stainless by any application." But, over and over, the number hypothesis tracks down surprising applications in science and design, from leaf points that (nearly) all around follow the Fibonacci succession to present-day encryption procedures in light of figuring indivisible numbers. Presently, specialists have shown a
Mathematics

Scientists overcome a long-known mathematical puzzle by discovering the ninth Dedekind number.

With the so-called ninth Dedekind number, researchers at Paderborn University and KU Leuven have solved a decades-old mathematical mystery, making history with 42 digits. Since 1991, experts all over the world have been looking for its value. With the help of the Paderborn-based Noctua supercomputer, the scientists were able to determine the exact numbers in the order that they appeared. At the International Workshop on Boolean Functions and Their Applications (BFA) in Norway in September, the findings will be presented. Lennart Van Hirtum, who was a computer science student at KU Leuven at the time and is now a research
Mathematics

A novel method for obtaining approximation linear equations for complex nonlinear problems.

Specialists at the College of Tsukuba have developed another technique for inferring straight conditions from convoluted nonlinear issues. Utilizing recreation results, they show that the model determined utilizing their proposed pseudo-linearization approach yields reactions that are closer to those of the notable elective strategy. This work can assist researchers and architects in anticipating and applying criticism to mechanical frameworks depicted with nonlinear conditions. The paper is distributed in the journal Logical Reports. Mathematicians frequently separate conditions into classifications, relying on the fact that they are too muddled to address. Direct conditions, in which factors would show up as a straight
Mathematics

First Computational Reconstruction of an entire Virus’s Biological Structure

The first computational reconstruction of a virus in its biological entirety is still a work in progress. Currently, researchers have used computational methods to model various aspects of viruses, such as their structure, dynamics, and interactions with host cells. One of the most famous computational reconstructions of a virus is that of the virus that causes AIDS, known as HIV. Researchers have used computational methods to study the structure and dynamics of the virus, as well as its interactions with host cells, to better understand its life cycle and to develop new treatments for AIDS. A computer reconstruction of a
Mathematics

According to a study, investors suffer as well from unregulated competition for freely available resources.

Without guidelines for their utilization, the state of openly available assets, for example, fish stocks, water, or air, can crumble emphatically. In financial matters, this is alluded to as the "awfulness of the hall." Elinor Ostrom became the first woman to receive the Nobel Prize in Economic Sciences in 2009 for her research on this topic. Ostrom's inquiry of how to forestall this "misfortune" is similarly pertinent today as it was nearly a while ago. The game hypothesis manages circumstances in which various specialists rival one another, with every member attempting to separately expand their own benefit. One discusses "Nash
Mathematics

A Mathematical Approach to Drug Discovery could improve its Effectiveness and Efficiency

Researchers at The University of Texas at Dallas and Novartis Pharmaceuticals Corp. have developed a computer-based drug discovery platform that could make the process more effective, efficient, and cost-effective. Dr. Baris Coskunuzer, professor of mathematical sciences at UT Dallas, and his colleagues developed a method based on topological data analysis to virtually screen thousands of potential drug candidates and significantly narrow the compound candidates to those most suitable for laboratory and clinical testing. The findings will be presented at the 36th Conference on Neural Information Processing Systems. In the early stages of drug discovery, researchers typically identify a biological target,
Mathematics

Mathematicians Clarify why some Fireflies Flash at the Same Time

Fireflies, also known as lightning bugs, are beetles. The larval stage (1-2 years) is where they spend the majority of their life, feeding on snails, worms, and smaller insects in the leaf litter on the forest floor. They only live for about 3-4 weeks after maturing into adults, and many do not feed. The flash patterns of fireflies are part of their mating display. Each species has a distinct pattern that aids male and female individuals in recognizing and locating one another. Most species emit a greenish-yellow light, while others emit a blue or white light. Males typically flash while
Mathematics

A mathematical theorem was applied to decipher the US government’s encryption technology.

In the advanced age, as we move toward quantum computing, protecting information from hacker attacks is perhaps our greatest challenge—and one that specialists, states, and ventures all strive to address.While this is a work to create a more connected and secure future, it can undoubtedly benefit from a previous time. The US Public Foundation for Norms and Innovation (NIST) chose four encryption calculations and represented some test issues in July to test their security, offering a $50,000 prize to the person who figured out how to break them.It occurred in under 60 minutes: one of the promising calculation competitors, named
Mathematics

Mathematicians explain why some fireflies illuminate at the same time.

Stake out in Pennsylvania's Cook State Woods brilliantly at any time of year and you can see one of nature's extraordinary light shows: multitudes of fireflies that synchronize their blazes like a series of Christmas lights in obscurity. Another concentrate by Pitt mathematicians shows that math acquired from neuroscience can depict how multitudes of these novel bugs coordinate their light show, providing key insights regarding how they act in nature. "This firefly has a fast grouping of blazes, and afterward a major delay before the next burst," said Jonathan Rubin, teacher and seat of the Branch of Math in the
Mathematics

Study Investigates the Benefits and Drawbacks of Evolutionary Genomics

A new study looks at mathematical models that are used to infer how evolution works at the population level of organisms. The study concludes that such models must be built with extreme caution, avoiding unwarranted initial assumptions, weighing the quality of existing knowledge, and remaining open to alternative explanations. Claudius Ptolemy, an Alexandrian astronomer, and mathematician in the second century, had lofty goals. In order to make sense of the motion of stars and the paths of planets, he wrote the Almagest, a magisterial treatise on the subject. Ptolemy devised a complex mathematical model of the universe that appeared to