Results 61 to 70 of about 528,309 (248)
Euler’s Formula for General Graph Embeddings
Consider an embedding of a graph G(v,e) with v≥1 vertices and e≥0 edges into a closed surface s, with r resulting regions. If G is connected and every region is a 2-cell (a so-called 2-cell embedding), Euler’s formula is the relation v−e+r=χ(s), where χ ...
Bauer, Doug +2 more
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On the ratio of the sum of divisors and Euler’s Totient Function I [PDF]
, 2013 We prove that the only solutions to the equation σ(n)=2φ(n) with at most three distinct prime factors are 3, 35 and 1045. Moreover, there exist at most a finite number of solutions to σ(n)=2φ(n) with Ω(n)≤ k, and there are at most 22k+k-k squarefree ...
Delbourgo, Daniel, Broughan, Kevin A.
core
Advanced Intelligent Discovery, EarlyView.The authors develop a deep learning model for real‐time tracking of wound progression. The deep learning framework maps the nonlinear evolution of a time series of images to a latent space, where they learn a linear representation of the dynamics. The linear model is interpretable and suitable for applications in feedback control.
Fan Lu +11 more
wiley +1 more source
Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.Quadrotor unmanned aerial vehicle control is critical to maintain flight safety and efficiency, especially when facing external disturbances and model uncertainties. This article presents a robust reinforcement learning control scheme to deal with these challenges.
Yu Cai +3 more
wiley +1 more source
Advanced Intelligent Systems, EarlyView.A quadrupedal integrated leg‐arm robot with an underactuated reconfigurable body is developed. By using a Sarrus mechanism as the body, the robot enables reconfiguration through its supporting limbs, achieving mode switching without additional actuators.
Xinghan Zhuang +8 more
wiley +1 more source
Advanced Intelligent Systems, EarlyView.TwinX shows how a single interbody wire connecting two robots can support both integrated morphological reconfiguration and distributed wire‐mediated cooperation. When the robots dock, they reconfigure into different forms for locomotion and manipulation.
Shintaro Inoue +5 more
wiley +1 more source
Beyond circular trigonometry: Parabolic functions from geometric identities
AlifmatikaThis paper presents an innovative extension of trigonometric functions to parabolic geometry, introducing the parabolic sine (sinp u) and parabolic cosine (cosp u) functions.
Laith H. M. Al-ossmi
doaj +1 more source
Which point sets admit a $k$-angulation?
Journal of Computational Geometry, 2014 For \(k\ge 3\), a \(k\)-angulation is a 2-connected plane graph in which every internal face is a \(k\)-gon. We say that a point set \(P\) admits a plane graph \(G\) if there is a straight-line drawing of \(G\) that maps \(V(G)\) onto \(P\) and has the ...
Michael S. Payne +2 more
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Biotechnology and Bioengineering, EarlyView.ABSTRACT Antibody productivity and glycosylation quality in CHO cell cultures emerge from a dynamically evolving metabolic environment, yet existing models often work in isolation or at a single scale. Here, we present a multiscale mechanistic framework linking molecular, cellular, and macroscopic scales to predict how inputs shape bioprocess ...
Yuming Zeng +3 more
wiley +1 more source
Advertisements of follow-on formula and their perception by pregnant women and mothers in Italy
, 2015 Objective To assess how follow-on formula milks for infants aged 6–12 months are presented to and understood by mothers. Design A quantitative and qualitative cross-sectional study including (1) an analysis of advertisements in three magazines for ...
Mutti, Valentina +6 more
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