The enigmas of the mathematical Universe might be decrypted, following the launching of an online tool designed to provide details of the mathematical worlds. A team of international scientists has offered the online resource to anyone interested in learning more on the subject. The catalog is named “L-functions and Modular Forms Database” and could fill 5,000,000 encyclopedia pages.
The atlas contains data provided by over 80 scientists from 12 nations. It includes millions of mathematical objects and shows their connection to each other. To compile such an impressive database, it took hundreds of years of computing time. For example, more than 70,000 cores of Google Compute Engine were used to complete a tabulation. It took a whole weekend, but had it been done on a single computer, it would’ve taken a century. Along with the computing time, thousands of hours of human time were put into the project.
This database could solve pure mathematics problems that have been bugging scientists for centuries. It could also provide an improved encryption for cloud uploads.
Mathematical objects are a means of communication in mathematics. That means numbers, functions, matrices and more. Objects have their own category but finding the connection between them can lead to outstanding breakthroughs. René Descartes, for example, by linking algebra to geometry, has developed the Cartesian geometry. Because the connections between the mathematical objects are now made explicit, it leads the way for further developments.
Today, “L-functions and Modular Forms Database” project takes objects like L-functions and modular forms and puts them in a table similar to that of the chemical elements. Just as the periodic table, the mathematical atlas shows how objects relate in mathematics. But while the periodic table has rows and columns, this catalog looks a lot more like a set of web homepages for each mathematical object. Experts and amateurs alone can navigate the content through the user-friendly web interface.
Brian Conrey, the project manager of “L-functions and Modular Forms Database”, says that the scientists behind the project are “mapping the mathematics of the 21st century”. By joining forces, all the mathematicians behind the catalog are helping mathematical progress. With such a tremendous source of information at hand, it is only a matter of time until the enigmas of the mathematical Universe will be unraveled.
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