Explore the profound connection between Euler's Identity and the Taylor series, two foundational concepts in mathematics. This overview explains how the expansion of exponential functions using the ...

This is a preview. Log in through your library . Abstract Proof-theoretical notions and techniques, developed on the basis of sentential/symbolic representations of formal proofs, are applied to Euler ...

In this paper, a new formulation for the three-dimensional Euler equations is derived. Since the Euler system is hyperbolic-elliptic coupled in a subsonic region, an effective decoupling of the ...

A mathematical concept known as a de Bruijn graph turns the formidable challenge of assembling a contiguous genome from billions of short sequencing reads into a tractable computational problem. You ...