How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

In today’s post, I’m sharing with you a meticulously curated collection of some of the best math websites and platforms. This list is indeed the result of several updates and feedback from the vibrant ...

This carefully selected free compilation of exam questions has fully-worked solutions designed for students to go through at home, saving valuable time in class. Ideal for students who are revising ...

Abstract: Robotic ultrasound-guided intervention is an effective approach to ameliorating the quality of the intervention surgery. Ultrasound-robot calibration, conducted to obtain spatial ...

I have been interested in the derivation of new and better Runge-Kutta algorithms for some time. In particular, I showed that the design of Runge-Kutta pairs by E. Fehlberg could be improved to ...

Anisotropy is widespread in the Earth’s crust, and VTI (vertical axis symmetry transverse isotropy) anisotropy is common due to stratigraphic pressure. Disregarding anisotropy leads to inaccurate ...

In this work, we study a simultaneous process design and control methodology using infinite horizon model predictive control (IHMPC). The methodology is based on the change in market conditions caused ...

1 Department of Radiological Science, Graduate School of Human Health Science, Tokyo Metropolitan University, Higashiogu, Arakawa-ku, Tokyo, Japan. 2 National Institute of Advanced Industrial Science ...

In this paper, a formal and systematic method for balancing chemical reaction equations was presented. The results satisfy the law of conservation of matter, and confirm that there is no contradiction ...

The inverse problem of electrocardiography consists in reconstructing cardiac electrical activity from given body surface electrocardiographic measurements. Despite tremendous progress in the field ...