Abstract: The accuracy of the passive ranging solution obtained by using the difference approximation to the Doppler change rate is not good. By means of the frequency shift recurrence equation, the ...

In many complex systems, predictability can be substantially state-dependent. We propose here a purely data-driven approach for estimating the local predictability at different time scales. The ...

New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – something that has generally been deemed impossible using traditional methods for ...

This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...

International researchers – including a mechanical engineer at Purdue University – have developed a method to predict the recurrence of prostate cancer in patients treated by radiation therapy. Purdue ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

Ali Duffens, MD, discusses a study in which investigators assessed the mode of detection for breast cancer recurrence within an integrated health system by assessing the utility and outcomes of ...