Equivalence relations and partial and total orders are introduced. The geometry and topology of the real number line and Cartesian plane are introduced. Techniques of formal proof are introduced ...

While you don’t need topology to determine that you are living on something like a giant beach ball, knowing all the possible 2D spaces can be useful. Over a century ago, mathematicians figured ...

By integrating discrete topology with non-linear dynamics, the research highlights how topological signals, dynamical variables defined on nodes, edges, triangles, and other higher-order ...

A cartesian test is a test the tries every combination of possible inputs based on some model. It's called this because the set of possible states is mathematically the cartesian product of the list ...

After hours: March 20 at 7:50:50 PM EDT Loading Chart for RNAC ...

Polymeric materials, often represented as thread-like molecules, are frequently utilized as network structures through the chemical or physical cross-linking of polymer chains. Recently, materials ...

The hierarchical bubble structure adapts itself to the molecular topology and geometry. For any target object (shell pair or auxiliary shell), one might envision that the bubbles “carve” out what ...

At first, it seemed to be some quasi-Cartesian take on the mind-body problem as Robert Pattinson, playing the eponymous character, is a cyborg of recycled body parts (and other waste material, ...