Some mathematical formulas can uncover patterns so precise they seem to predict the future—appearing in nature, economics, and even human behavior. Details emerge about Charlie Kirk shooting suspect.

In grade school, you were probably constantly drilled on mathematics. Whether it be multiplication tables, simple addition, or complicated division, it was taught over and over again that quick math ...

Abstract: The in-flight alignment is a critical stage for airborne inertial navigation system/Global Positioning System (INS/GPS) applications. The alignment task is usually carried out by the Kalman ...

Mathematics is more than a combination of numbers and symbols that result in the calculation of an abstract solution. It is about solving problems, creating artistic expressions, and designing ...

Abstract: The similar nature of patterns may enhance the learning if the experience they attained during training is utilized to achieve maximum accuracy. This paper presents a novel way to exploit ...

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find ...

You can define macros and ⚠ MANUALLY update by executing umath.preview.reloadMacros (Ultra Math Preview: Reload Macros). "Automatically updating macros" has been disabled, because it can affect ...

Purpose: Myocardial ischemia/reperfusion injury (MIRI) leads to myocardial tissue necrosis, which will increase the size of myocardial infarction. The study examined the protective effect and ...

Ask the publishers to restore access to 500,000+ books. An icon used to represent a menu that can be toggled by interacting with this icon. A line drawing of the Internet Archive headquarters building ...

Ask the publishers to restore access to 500,000+ books. An icon used to represent a menu that can be toggled by interacting with this icon. A line drawing of the Internet Archive headquarters building ...

School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, P. R. China Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou 730000, P. R.