Polynomial Time Algorithms to Approximate Permanents and Mixed Discriminants Within a Simply Exponential Factor We present real, complex, and quaternionic versions of a simple randomized polynomial time algorithm to approximate the permanent of a nonnegative matrix a... A Barvinok - 《Random ...
Exponential functionSine functionLemniscate of BernoulliSome sufficient conditions are determined for certain first order differential subordinations to imply the corresponding analytic solution is subordinate to a rational, exponential, or sine function....
Thus, when taking integers as input; exponentials can be thought of as just a way to save paper (long strings ofa's aren't very enlightening to write down). Theres no real new information here, and the rules of exponents are just a way of codifying the nature of repeated multiplication....
In this manifestation of the KO groups, all eight boundary maps in the 24-term exact sequence associated to an ideal in a real C*-algebra can be computed as exponential or index maps with formulas that are nearly identical to the complex case....
The purpose of this chapter is to give a global construction of the real blow-up space of a complex manifold along a family of divisors. On this space is defined the sheaf of holomorphic functions with moderate growth, whose basic properties are analyzed
The latter system has prompted a phenomenal augmentation of information accessibility, and its ever-expanding use has resulted in an exponential increase in ... IM Modlin,G Adler,K Alexander,... - 《Journal of Clinical Gastroenterology》 被引量: 25发表: 2005年 Flipped Inclusion: Between Europe...
The growth of bacteria analyzed over the resonator showed an exponential growth curve with respect to time and concurred with the lag-log-stationary-death model of cell growth. This biosensor is one step forward to automate the complex AST workflow of clinical microbiology laboratories for rapid ...
the exponential dependence of those measurable quantities on free-energy differences or the rather similar slopes of the temperature-dependent free-energy curves of organic crystals. For most of the reference compounds, the standard error of the free-energy difference,\({\sigma }_{\Delta F}\), ...
Differentiate Euler's formula to know that cos'=-sin, so that we can writecostas series.Then by properties of polynomial, we can defineπ/2by the value of the first positive zero point of cosine function. 编辑于 2024-10-20 10:32・IP 属地天津 ...
Although in this paper, the learning ability of the proposed framework as a dynamical NN with exponential number of attractors is considered, classical methods which have shown acceptable performance on real world data are applied in our comparisons. Using these comparisons, advantages and disadvantages...