McKean, Jr., Diffusion processes
and their sample paths, Springer, Berlin, 1974.
The jump distribution under the probability measure [Q.sup.*] is still a double exponential distribution with parameters [[eta].sup.*.sub.1] = [[eta].sub.1]-1, [[eta].sup.*.sub.2] = [[eta].sub.2] + 1, [p.sup.*] = (1/[omega])(p[[eta].sub.1]/ ([[eta].sub.1]-1), and [q.sup.*] = (1/[omega])(q[[eta].sub.2]/([[eta].sub.2] + 1)), which proves that the double exponential jump diffusion process under the measure transform is still a double exponential jump diffusion process; that is, both (31) and (35) are double exponential jump diffusion processes
. The Laplace transform of the first-passage time distribution of double exponential jump diffusion process has been obtained by Kou and Wang (2003) .
Suitable for almost every type of stainless steel, these thermo-chemical diffusion processes
form carbon or nitrogen S-phase while avoiding carbide or nitride precipitation that can cause sensitization with a loss of both corrosion resistance and mechanical properties, Figure 1.
Pons explores tests of hypotheses in regular nonparametric models, including tests based on empirical processes and smooth estimators of density functions, regression functions, and regular functions defining the distribution of point processes and Gaussian diffusion processes
. He details the asymptotic behavior of the statistics and the asymptotic properties of the tests.
These results indicate that diffusion processes
are facilitated by longer shared tenure.
The confusion and diffusion processes
in cryptography proposed by Shannon  are applied in image encryption successfully.
The diffusion processes
as well as the produced models are described in the literature [3-8].
The various diffusion processes
have been studied in the literature, which are as follows.
For any multivariate Fokker-Planck equation there is an equivalent system of Ito diffusion processes
, such as the pair of (5)-(6).
Particularly, through diffusion processes
have been carried out modeling interest rates and commodity prices, where they used in their modeling processes mean reversion.
On the background of above mentioned considerations can be concluded that the investigation of diffusion processes
on the air-water interface should be based on the classical theory of diffusion [19-22].
Specific questions addressed included: (1) What will a high-impact, technology-intensive STEM learning environment look like in the near and long-term future?; (2) What materials development and research are required to make this vision possible?; and (3) What design, development, and diffusion processes
are most likely to produce new approaches to STEM education?