Sentence examples for mathematical tools more from inspiring English sources

AI researchers began to develop and use sophisticated mathematical tools more than they ever had in the past.

After the rediscovery of low-density parity-check (LDPC) codes, their decoding algorithms have been studied by mathematical tools pertinent more to computer science than the conventional algebraic coding theory.

Quantitative structure activity relationships (QSAR) and quantitative structure property relationships (QSPR), using various statistical and mathematical tools, are even more powerful tools to guide the chemist in the design process.

Not every student will pursue math as a field, but they will need mathematical tools to be more informed scientists, scholars, or citizens.

But through the 60s he laboured to bring more and more mathematical tools into music.

Engineers like Ben Lee, a parent you quote, are experienced at identifying which mathematical tools prove useful in more advanced courses and in the real world.

Finally, this study indicates that the dynamics in the magnetosphere can be characterised in more detail when high-resolution data are used and more objective mathematical tools are applied.

However, working with complex matrices would require the use of more sophisticated mathematical tools, i.e., the so-called Wirtinger calculus [26], but this general approach falls outside the scope of the paper.

These MLPs offered low verification prediction errors (less than 0.48% in both cases), thus leading to useful mathematical tools that are able to more than adequately estimate the RI of imidazolium-based ILs by solely relying on the MWs.

Economics has become increasingly dependent upon mathematical methods and the mathematical tools it employs have become more sophisticated.

In addition to incorporating better measurement techniques, fly sleep studies can also benefit from taking advantage of more rigorous mathematical tools.