Uspensky Algorithms and randomness Theory of Probability and its Applications, 32 (1987), pp. 389-412 Google Scholar [10] L.A. Levin On the notion of a random sequence Soviet Math. Doklady, 14 (1973), pp. 1413-1416 Google Scholar [11] P. Martin-Löf The definition of random sequence...
v. Harten, G. and Steinbring, H.: 1983, ‘Randomness and stochastic independence — On the relationship between intuitive notion and mathematical definition’, in Scholz, R. W. (ed.), Decision Making under Uncertainty , Amsterdam, pp. 363–373....
Learn more about this topic: Dimensional Analysis Practice: Calculations & Conversions from Chapter 17/ Lesson 1 22K In physics, dimensional analysis is a tool for deciding mathematical operations and converting units. Review the definition of dimensional analysis and its applications for conversion, spe...
The motivation for this definition of reduction is that it captures the essential behavior of all mathematical functions. 归约的这个定义的动机是捕获所有数学函数的本质行为。 WikiMatrix Although approximation is most often applied to numbers, it is also frequently applied to such things as mathemat...
The form restricted to is alternating by the definition of . One of the basic notions associated to a bilinear form is that of an isotropic subspace, which shows up in the construction of Conlon and Ferber as well, as discussed in the previous post. An isotropic subspace is a subspace ...
They don't prove that randomness is capable of producing life any more than queuing theory proves the existence of shops. The claim of neo-Darwinian theory is the possibility of deriving complexity without goal directed processes subject to nothing more than "natural selection" - itself a ...
The entries of the jump matrices will carry the density function along, which can be eventually incorporated in the definition of the reflection coefficient r_1(\lambda ). As the number of poles increases within the support of the measure, the following result holds. Proposition 2.3 For any ...
by definition,X˙=0, so that all differential equations become explicit algebraic equations that can be analyzed with methods of linear algebra. If all fluxes are known, it is usually not difficult to compute the steady-state of a system. However, the reverse is not true: if only the metab...
Such arbitrary extensions are too general for many uses in stochastic calculus where we merely want to add in some additional source of randomness. Consider, for example, a standard Brownian motion B defined on the original space so that, for any times s < t, Bt –Bs is normal and indepen...
After a rigorous definition of the population process and its driving parameters we give a short overview of the behaviour on the time scales of order 1 and in Sect. 2.2. Moreover, in this section we derive the key quantities that lead us to the definition of the notion of an ...