Sentence examples for advanced mathematical tools from inspiring English sources

The equations describing the leveling of the paint film are complex and their numerical simulation requires advanced mathematical tools, which are described in detail in this paper.

Launched in 1999 with funding from the Canadian government, MITACS's mission is to bring together industry, government, and academia to work on research projects that require advanced mathematical tools to solve problems of strategic importance to Canada's companies and, consequently, to the Canadian economy.

The focus of this study was to develop advanced mathematical tools to construct high-resolution 3D models of left-ventricular (LV) geometry to evaluate focal geometric differences between patients with hypertrophic cardiomyopathy (HCM) and hypertensive heart disease (HHD) using cardiac magnetic resonance (MR) cross-sectional images.

The dependence on some advanced mathematical tools would further restrict the wider application of this interpretation.  .

Local and overall dynamical features have been investigated by analysing the time-resolved signals by means of advanced mathematical tools (Kolmogorov entropy, coherence, Hurst exponent).

Some homogenization interesting problems are listed in the conclusions in the hope that they may be rigorously studied with the most advanced mathematical tools.

The application of this recent, but advanced, mathematical tool is initially presented through a theoretical background, which is believed to be valuable for bridging the gap between the CWT and previous existing techniques.

Finally, there has evolved since World War II a highly advanced mathematical theory of control systems.

Utilization of these techniques seems to be difficult, requiring advanced mathematical knowledge (Karande and Chakraborty 2012a).

Robert E. MacArthur advanced mathematical theory, predictions and tests in ecology in the 1950s, which inspired a resurgent school of theoretical mathematical ecologists.

Advanced control theory is usually associated with the use of abstract mathematical tools.