In this paper we present the algorithms for calculating the differential geometric properties {t,n,b1,b2,b3,k1,k2,k3,k4} along-with geodesic curvature and geodesic torsion of the transversal intersection curve of four hypersurfaces (given by parametric representation) in Euclidean space R^5. In transversal intersection…
On-device research index
arXiv research
A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
168,786 papers · 148 categories
Trend · papers per month
3 results for “K4”
Study shows stick numbers for specific graphs and explains a protein structure.
problem Determining the minimum number of sticks for knotless embeddings of graphs.
method Analyzing specific graphs like K4 and K5, and using probability theory for K3,3.
result Minimum stick numbers for K4 and K5, and probability of a specific protein structure.
Any traversally generic vector flow on a compact manifold with boundary leaves some residual structure on its boundary $\d X$. A part of this structure is the flow-generated causality map , which takes a region of $\d X$ to the complementary region. By the Holography Theorem from \cite{K4}, the map allow…