Numerov’s numerical method is developed in a didactic way by using Python in its Jupyter Notebook version 6.0.3 for three different quantum physical systems: the hydrogen atom, a molecule governed by ...

Cervical cancer is a deadly disease in women globally. There is a greater chance of getting rid of cervical cancer in case of earliest diagnosis. But for some patients, there is a chance of recurrence ...

Abstract: In 1960 Leonhard Euler gave rigorous proof of an efficient calculation using the recurrence of partition numbers. Since the power of the variables in the recurrence is the pentagonal numbers ...

When confronted with novel problems, problem-solvers must decide whether to copy a modeled solution or to explore their own unique solutions. While past work has established that infants can learn to ...

aSchool of Clinical Sciences, Monash University, Clayton, VIC 3168, Australia bDepartment of Rheumatology, Monash Health, Monash University, Clayton, VIC 3168, Australia Systemic lupus erythematosus ...

In many physical systems, the governing equations are known with high confidence, but direct numerical solution is prohibitively expensive. Often this situation is alleviated by writing effective ...

A number of recent studies using accelerometer features as input to machine learning classifiers show promising results for automatically detecting stereotypical motor movements (SMM) in individuals ...

Modern computers separate computation and memory. Computation is performed by a processor, which can use an addressable memory to bring operands in and out of play. This confers two important benefits ...

Our July Insights column was inspired by the mathematics of the phenomenal 20th-century number theorist Srinivasa Ramanujan, whose romantic and tragic life story was the subject of the recent film The ...

Proceedings of the National Academy of Sciences of the United States of America, Vol. 56, No. 6 (Dec. 15, 1966), pp. 1912-1916 (5 pages) ...