An interpretable machine learning algorithm enables dynamic 48-hour mortality prediction during an ICU stay. [PDF]
Britsch S +8 more
europepmc +1 more source
Muscle matters: automated CT-based body composition analysis predicts survival in patients with head and neck cancer treated with immunotherapy. [PDF]
Jungbauer F +12 more
europepmc +1 more source
Longitudinal Non-interventional Changes of the FORTA Score are Associated with Changes of Cognitive and Physical Function Tests in Community-Dwelling Older People. [PDF]
Pazan F +18 more
europepmc +1 more source
Spinor representation of framed Mannheim curves
In this paper, we obtain spinor with two complex components representations of Mannheim curves of framed curves. Firstly, we give the spinor formulas of the frame corresponding to framed Mannheim curve. Later, we obtain the spinor formulas of the frame corresponding to framed Mannheim partner curve.
Zehra Isbilir +2 more
exaly +5 more sources
Mannheim curves and spherical curves
International Journal of Geometric Methods in Modern Physics, 2020In this paper, we study cylindrical helices, Mannheim curves and Darboux developable surfaces associated to Mannheim curves. We give a method for constructing Mannheim curves from spherical curves and demonstrate that all Mannheim curves can be constructed by such a way.
Yongqiao Wang, Yuan Chang
openaire +1 more source
MANNHEIM CURVES IN 3-DIMENSIONAL SPACE FORMS [PDF]
In Euclidean 3-space, Mannheim curves are characterised by the equation \[ \kappa=a(\kappa^2+\tau^2) \] for a constant \(a\neq 0\), where \(\kappa\) and \(\tau\) are the curvature and the torsion of the curve. Similarly, Mannheim partner curves are characterised by \[ \kappa'=\frac{\kappa}{a}(1+a^2\tau^2) \] where \(\kappa'\) represents the derivative ...
Choi, Jin Ho +2 more
exaly +3 more sources
On Generalized Spacelike Mannheim Curves in Minkowski Space–Time
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emilija Nešović +2 more
exaly +4 more sources
Bertrand and Mannheim curves of framed curves in the3-dimensional Euclidean space
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shun'ichi Honda, Masatomo Takahashi
exaly +3 more sources
Mannheim partner curves in 3-space
Journal of Geometry, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huili Liu
exaly +3 more sources

