end{aligned} (3.5) From this system one can derive numerous nonlinear equations with respect to the functions (Q t,x)), (R t,x)) that may have the properties of Korteweg-de Vries equation (independence of the spectral parameter on time, infinite number of conservation laws, integrability) by taking the spectral expansions (N=sum_{k=-m}^{m} N_{k}z^{k}).
Today, protein products are derived from numerous additional sources, including peas, amaranth, rice, canola and fungi.
ECM hydrogels have been derived from numerous tissue sources and applied to treat many disease models, such as ischemic injuries and organ regeneration or replacement.
According to the present state of knowledge, derived from numerous experimental investigations, temperature ca be attributed the most significant influence on the tribology of synchronizing systems.
In this study, the practical Takashi's equation, derived from numerous one-dimensional indoor frost heave tests, is adopted as the theoretical foundation for frost heave estimation.
Using stratigraphic information derived from numerous boreholes across the region paired with geologic and geomorphologic constraints, we develop a depth-to-bedrock model for the greater Boston region.
This model is derived from numerous measurements acquired over four solar cycles dating back to the 1970s, roughly representing 40 years of data collection.
Its products and services are based on comprehensive databases of consumer and business information derived from numerous types of credit, financial assets, telecommunications and utility payment, employment, income, public record, demographic and marketing data.
The intent of the current work is to present and further validate a new tri-variate model for the formation of soot particles, to apply this model in analyzing the effects of temperature on the formation and growth of soot, and to compare the findings with the present understanding derived from numerous experimental studies.
