The study of geodetic numbers in graph theory represents a compelling fusion of abstract mathematical ideas with practical applications across network analysis, computational optimisation, and ...

Rough path theory provides a rigorous framework to analyse differential equations driven by highly irregular signals, such as those encountered in stochastic differential equations (SDEs).

The main challenge here lies in devising a mathematically acceptable proof of this impossibility, which is where the foundations for what we today know as graph theory.

Graph theory: Solution to '3 utilities problem' could lead to better computers Date: August 17, 2020 Source: University of Copenhagen Summary: Researchers thought that they were five years away ...

Circuit theory has seen extensive recent use in the field of ecology, where it is often applied to study functional connectivity. The landscape is typically represented by a network of nodes and ...

Author’s note: This article shows how to derive circuit gain equations via a signal flow graph. With practice you may be able to write a gain equation by locating signal paths and loops in the ...

Instead of Circuit Theory, gain equations are extracted from a Signal Flow Graph (SFG) by Mason’s Gain Formula. Voltage Signal Analysis (VSA) creates a SFG from the Circuit Schematic.