0:00:05the strange down to in the background
0:00:07we hesitate column
0:00:11represent mathematics
0:00:13whose acoustic training about this paper on be modeled area quite sure is about
0:00:19i score here in random matrices random way
0:00:23the context of the observation visual perception if you have some acoustic spectrum a century
0:00:30ago with those of today one difference you met you know this is what papers
0:00:35contain many more pictures
0:00:37there are two reasons for this purpose is a growing recognition one equation is a
0:00:42compact summary complex idea is very compact estimate how to appreciate
0:00:47and i really worth of that words can help us classes content
0:00:53the second reason is with one software is quick and easy to make pictures rich
0:00:59information
0:01:01by contrast whether we have you representations of mathematics asylums absence of hearing is not
0:01:07in systematically investigated as a guide the conventional mathematical concepts
0:01:13our drinks represent two areas of mathematical physics
0:01:17the first area is random matrix theory this way of characterizing energy levels in quantum
0:01:24system technology that's study quantum systems with classical counterpart of the scale or
0:01:32more generally characterized is
0:01:34i mean values some mathematical property of operations systems vibration the conjugate
0:01:41random actually they represent condition was and captures the statistics
0:01:47there are three nine types of randomly statistics different fluctuation properties related to the symmetry
0:01:54of the underlying dynamics and the purpose of this study was to find out the
0:01:58differences can be
0:02:00to this is necessary to run to the interval sequences there are many ways to
0:02:06do this one but we are in the paper integrate functions of zeros at the
0:02:12end of this there are many possibilities
0:02:15we find rendering functions as high modulation carrier waves could be
0:02:21the rest sets of so that several that's each lasting used in set consists of
0:02:27five clicks the three random vector function somewhere between a function representing the original was
0:02:34one represents all ninety completely uncorrelated random
0:02:39also industry
0:02:42no way we represent cell great sequences from the mean do not correspond to the
0:02:48spacing between adjacent okay differences between the types of random matrix can be distinguished by
0:02:55this
0:02:56the second there that we had a random way into three dimensions
0:03:02these are right but i think anymore automatically extracting in different directions representing for example
0:03:08laces spectral black body radiation the bayesian inverse quantum electron waves chaotic quantum dots
0:03:16many examples random way
0:03:20one dimensional sections such as a function of a single position where and efficient way
0:03:25to this time
0:03:26the sections can be rented sounds that every again as phase modulated carrier where the
0:03:32point was that the equation
0:03:34in two and three dimensions and be distinguished represented in this way
0:03:41we are not experts in sampras and we got this type as the total in
0:03:46the beginning
0:03:47further developments come quickly to mark
0:03:49more sophisticated renderings for example involving rhythm how many and number as well as pitch
0:03:55as we can clearly introduction
0:03:57this paper is currently speculative
0:04:00where the mathematics
0:04:01is useful or major curiosity remains to be seen
0:04:05or rather