The aim of this work is to study the elastic behavior of some Ti-Nb-Zr alloys (Ti-8Nb-13Zr, Ti-13Nb-13Zr, Ti-18Nb-13Zr and Ti-41.1Nb-7.1Zr) developed to biomedical applications. These alloys were ...

(Author’s Note: We ask that readers do not use AI to solve this puzzle.) ...

At its core, the concept of a tangent line is relatively simple. A tangent line to a circle is a line that touches the circle at exactly one point, called the point of tangency. The key property that ...

Constraint qualifications (CQ) are assumptions on the algebraic description of the feasible set of an optimization problem that ensure that the KKT conditions hold at any local minimum. In this work ...

Depicted above are two intersecting tangent lines and two tangent circles. The tangent lines intersect at an angle θ = 142.9505685722O. The smaller circle has an area of 400 square meters. Find the ...

Jean Kelly from Dublin's Institute of Education is here with six videos full of great advice and tips for Leaving Cert students preparing to sit the Maths Ordinary Level exam. Jean has a wide breadth ...

The world of geometry just witnessed a pivotal breakthrough. Mathematicians at Monash University have cracked a centuries-old puzzle dating back to the 17th century, extending Descartes’ Circle ...

Left, a 3-flower. Right, a 5-flower. Credit: Journal of Geometry and Physics, 10.1016/j.geomphys.2025.105458 Monash University researchers have extended Descartes’ Circle Theorem by finding a general ...

A long-standing geometric mystery dating back to the 17th century has finally been solved by Monash University mathematicians, shedding new light on an equation first written by philosopher and ...