Mathematical Equations: The notebook uses polar and parametric equations to plot shapes. For example, rose curves use the formula ( r = A \cos (n\theta) ) to create petal patterns, while spirals and ...

Statistical Patterns in the Equations of Physics This repository contains the code and the data used to perform the analysis described in Constantin et al. 2024.

As an example of this method we obtain results of R. Stanley on the problem of counting the number of magic squares. This monthly journal, published since 1900, is devoted entirely to research in pure ...

In a recent work, an algorithm to compare chemical patterns, written for example in SMARTS, was presented. This algorithm, called SMARTScompare, is able to assess the identity, subset relation, and ...

Some examples of even numbers are 2, 4, 6, 8, 10, 22, 144 and 2, 020. If a number ends with an even digit, then it is an even number. For example 1 023 458 is even, because the final digit (8) is ...

Computer simulations of tumor behavior are generating new research insights -- and could lead to personalized therapies. There is a growing number of researchers worldwide exploring the field of ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations.