Tag: Geometric

Towards Geometric Deep Learning IV: Chemical Precursors of GNNs

Ifthe history of symmetry is tightly intertwined with physics, the history of graph neural networks, a “poster child” of Geometric Deep Learning, has roots in another branch of natural science: chemistry. Chemistry has historically been — and still is — one of th...

The Magic of Sacred Geometric Symbols: Unlocking The Codes To Life

Often described as the blueprint of creation, sacred geometric symbols explain the energy that connects all life, the lifeforce. Believed to be the essential tools for the education of the soul, these ancient symbols can be observed through everything in nature. The symbols contain high ener...

Julia and Projective Geometric Algebra

More concise implementations in software result in faster development, fewer bugs, and less technical debt. For example, this video shows Dr. Todd Ell, senior technical fellow at Collins Aerospace (with 68,000 employees, the world’s largest supplier of aerospace components) describin...

A Polymathic take on Art: Aesthetics & Mathematics in Islamic Geometric Art

Easily one of the most striking and identifying aspects of Islamic art is the complex geometrical shapes that are a critical aspect within its art and architecture. Seen everywhere from mosques, madrasas, palaces, and even private homes, these abstract patterns are much more than simple decoration. ...

Geometric Proof of the Difference of Squares: a² — b²

The difference of two squares is subtracting a square number from another squared number. And these numbers don’t have be perfect squares. Thankfully, difference of squares can be factored easily. a² — b² is ubiquitous in mathematics, and it is also supercalif...

Derivative of sine, geometric proof

The right-angled triangle OPA has an angle θ at the centre of the circle. We can find the sine of the angle from the standard formula: We will represent the length AP as y. Since OA is the radius of a unit circle, it is 1. So the sine of θ ...

Geometric Variable and Distribution

New visitors to a certain website have 20 % chances of creating an account on their first visit. Let V be the number of new visitors who visit the site until the first one of them creates an account. Assume that each visitor’s decision to create an account or not is independent. Find the proba...

A Unique Flat Geometric Shape Important To Some Esoterically

Does this count? It’s definitely unusual, somewhat geometric, certainly flat, and points to an extremely important concept in Sufism (Islamic mysticism). I think it meets the requirements. Nonetheless, some things require an explanation starting off with humanity and Allah Ta’ala as repr...