Sentence examples for basic ideas and methods from inspiring English sources

The chapter reviews the basic ideas and methods used to understand crackling noise— critical phenomena, universality, the renormalization group, power laws, and universal scaling functions.

One recurring theme that motivates the present discussion is the question of how the basic ideas and methods used in recursion theory, which is a defining area of of logic, derive from, or at least interact with, a wider mathematical and intellectual experience.

Therefore, we should take full advantage of system theory, cybernetics and their methods to study development control with whole-system thinking, and propose the basic ideas, implementation methods and key links of it.

At last, we illustrate basic ideas of our methods by an example.

Section 3 reviews the basic idea of PMOR methods and Section 4 describes an algorithm that implements the multi-moment-matching PMOR method adaptively based on an a posteriori output error bound for the ROM.

The paper presents the basic ideas of the method as well as illustration of its effectiveness for a variety of problems involving Laplace, Helmholtz and elastodynamics equations.

To illustrate the basic ideas of this method, we consider the following equation [9], A u − f r = 0, rєΩ Open image in new window (2).

We introduce the basic idea behind this method and apply this method to approximating fixed densities of Markov operators in stochastic analysis and Frobenius Perron operators in ergodic theory of chaotic dynamics.

To date, they have been mainly applied in cancer studies and the basic idea behind these methods consists in finding variant alleles that are present in the tumor sample but not in the matched control.

The basic idea behind compositional methods is that each genome has a compositional signature [ 4- 6] and hence, genes acquired from foreign genomes are expected to be distinct in their composition from the rest of the host genome.

The basic idea of such methods is to exploit the advantages of multiple images by using image fusion techniques.