The proposed algorithm was implemented in Matlab, but other mathematical tools can also be used.
We further realized that attending to these objects helped students learn the new mathematical ideas, because students referred to these objects in modeling and describing their sensorimotor schemes, first qualitatively and then, once we introduced mathematical tools onto the screen, also quantitatively.
We have also developed mathematical tools that have allowed us to compare among the geometrical characteristics of different drawing movements, by examining the parameter-dependent profiles of these affine variables (e.g., affine arc-length and affine curvature) and the signature curves of these movements.
Cosmo++ also includes a few mathematical tools that are frequently used in numerical research in cosmology and beyond.
The periodic signal within number of nests that was detected in the 1987 database comprised of 161 consecutive day counts can be also tested using classical mathematical tools.
Just as enormous molecular and technological resources are often mobilized to develop vaccines and diagnostic tools for emerging infectious diseases of public health importance, we should also harness the powerful quantitative mathematical tools that help assess disease interventions.
However, before we can successfully apply it, we also require new conceptual and mathematical tools to deal with the analysis of data-driven models that are formulated in terms of non-autonomous (i. e. explicitly time-dependent) dynamical systems.
The mathematical tools he invented -- regression and the correlation coefficient -- are also used universally today.
It is also what humans do in general, and the mathematical tools of probability simply allow us to acknowledge that, and to make the exercise explicitly reproducible, which is surely a good scientific attribute.
In addition to incorporating better measurement techniques, fly sleep studies can also benefit from taking advantage of more rigorous mathematical tools.
