Sentence examples for mathematical tools prove from inspiring English sources

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.

Based on the equivalent infinitesimal functions and differentials as well as linear approximations as comparatively simple mathematical tools, we prove that the distributed consensus is asymptotically reachable and derive the group decision values.

Finding stainless grade tools proved difficult.

To economists, he was known for a mathematical tool used to prove theorems about social systems.

The design workflow including the mathematical model and the optimization tool proved to be a cheap and reliable solution for an initial design of light redirecting panels.

These results let us prove the efficient generalization capability of these mathematical tools, as they are able to accurately quantify olive oil varietals in mixtures through their pigment profile only requiring visible spectroscopy data.

Although the overall system is infinite dimensional, convergence of the observer is proven using a standard Lyapunov approach along with classic mathematical tools such as Cauchy series, Parseval equality, and compact embeddings of Hilbert spaces.

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

The mathematical tools he invented -- regression and the correlation coefficient -- are also used universally today.

"We have no mathematical tools to evaluate the probability of a terrorist event".

At his feet lie symbols of ambition and creativity: armour, musical instruments, mathematical tools, a crown.