As their results began to crystallize, at first they didn’t notice the striking patterns emerging. But a colleague who reviewed their work spotted the famed Fibonacci numbers—a list whose entries have ...

The stable or robust transfer of matter, information, or energy, from one point in space to another is a crucial scientific and technological challenge. In 1983, Nobel laureate D. J. Thouless proposed ...

Casey Murphy has fanned his passion for finance through years of writing about active trading, technical analysis, market commentary, exchange-traded funds (ETFs), commodities, futures, options, and ...

Advisor Perspectives welcomes guest contributions. The views presented here do not necessarily represent those of Advisor Perspectives. Did you know there is a type of technical analysis that shares ...

A century ago, the strange behavior of atoms and elementary particles led physicists to formulate a new theory of nature. That theory, quantum mechanics, found immediate success, proving its worth ...

In this paper, we derive some new symmetric properties of 𝑘-Fibonacci numbers by making use of symmetrizing operator. We also give some new generating functions for the products of some special ...

Fibonacci cubes represent a fascinating class of graphs that emerge as subgraphs of the n-dimensional hypercube. Defined by the restriction to binary strings that avoid consecutive 1s, these graphs ...