213,495 Hits in 5.2 sec

A New Means for Investigating 3-Manifolds [chapter]

Vladimir Kovalevsky
2000 Lecture Notes in Computer Science  
The paper presents a new method of investigating topological properties of three-dimensional manifolds by means of computers. Manifolds are represented as finite cell complexes.  ...  The block structure is described by the data structure known as "cell list" which is generalized here for the three-dimensional case. Some experimental results are presented.  ...  Such a topological space can be represented in computers. We demonstrate here a new tool for investigating 3-manifolds by means of computers: the three-dimensional cell list.  ... 
doi:10.1007/3-540-44438-6_6 fatcat:6lur7tsxf5fpllqi2vvctfupmy

Experimental Investigation on Diesel Engines by Swirl Induction with Different Manifolds

P. Ramakrishna Reddy
2010 International Journal of Current Engineering and Technology  
The aim of paper is to design different types of inlet manifolds for the Internal Combustion Engine in order to create the turbulence by swirl.  ...  A good swirl promotes the fast combustion and improves the efficiency.  ...  Brake mean effective pressures were higher for new intake manifold technique than normal intake manifold.  ... 
doi:10.14741/ijcet/spl.2.2014.91 fatcat:76lwg7g6nvbdvmrfuz6zipbg64

Using Manifold Learning for Atlas Selection in Multi-Atlas Segmentation

Albert K. Hoang Duc, Marc Modat, Kelvin K. Leung, M. Jorge Cardoso, Josephine Barnes, Timor Kadir, Sébastien Ourselin, Karl Herholz
2013 PLoS ONE  
Recently, manifold learning has been proposed as a method for atlas selection. Each manifold learning technique seeks to optimize a unique objective function.  ...  Previous studies used a single technique in their method and gave no reason for the choice of the manifold learning technique employed nor the theoretical grounds for the choice of the manifold parameters  ...  Second, a new target image is embedded onto the previously computed manifold by means of the out-ofsample extension [26] (} 1.5).  ... 
doi:10.1371/journal.pone.0070059 pmid:23936376 pmcid:PMC3732273 fatcat:wahtdua5fjbhbfhsb6egzzwbme

Page 5191 of Mathematical Reviews Vol. , Issue 86k [page]

1986 Mathematical Reviews  
(J-WASES); Demshoryan, Anka Investigations of fundamental and branching fundamental solutions of the Cauchy problem for invariant B-parabolic operators on Riemannian manifolds on the basis of new integral  ...  Pinsky for finite- dimensional manifolds. The manifolds concerned are, roughly, those which inherit an abstract Wiener space structure from the model Banach space, by means of a suitable atlas.  ... 

Learning Common Harmonic Waves on Stiefel Manifold – A New Mathematical Approach for Brain Network Analyses [article]

Jiazhou Chen, Guoqiang Han, Hongmin Cai, Defu Yang, Paul J. Laurienti, Martin Styner, Guorong Wu, Alzheimer's Disease Neuroimaging Initiative ADNI
2020 arXiv   pre-print
The backbone of our framework is a novel manifold algebra appropriate for inference across harmonic waves that overcomes the limitations of using classic Euclidean operations on irregular data structures  ...  Specifically, a manifold optimization scheme is tailored to find the common harmonic waves which reside at the center of Stiefel manifold.  ...  Then, we estimate the mean tangent which points to the new location of the manifold mean.  ... 
arXiv:2007.13533v1 fatcat:w5ftsbjhqjandlfmgdud7erv6u

Investigating the connection between complexity of isolated trajectories and Lagrangian coherent structures

I. I. Rypina, S. E. Scott, L. J. Pratt, M. G. Brown
2011 Nonlinear Processes in Geophysics  
</strong> It is argued that the complexity of fluid particle trajectories provides the basis for a new method, referred to as the Complexity Method (CM), for estimation of Lagrangian coherent structures  ...  Two measures of complexity are explored in detail: the correlation dimension of trajectory, and a new measure – the ergodicity defect.  ...  New complexity-measure-based diagnostic for locating LCSs We now investigate the relationship between trajectory complexity and LCSs and use the two measures c and d to develop a new diagnostic for locating  ... 
doi:10.5194/npg-18-977-2011 fatcat:qor53d3plvemzgpzrro23lztkq

Page 7715 of Mathematical Reviews Vol. , Issue 99k [page]

1999 Mathematical Reviews  
Then the author investigates the rigidity problem for a compact submanifold M” in M"*?(c) with parallel normalized mean curvature vector field.  ...  Namely, they consider the manifold M x J for J an interval, with a metric g = dt? + a(t)g +b(t) ¥-n; @ni, where the n; are the 1- forms defining the 3-contact structure of M.  ... 

Page 1555 of Mathematical Reviews Vol. , Issue 91C [page]

1991 Mathematical Reviews  
Some of them are new, for example, the minimal surfaces of quaternionic Grassmannian manifolds.  ...  Dedicata 33 (1990), no. 3, 265-275. Let M be a smooth Riemannian manifold isometrically immersed in a Riemannian manifold N and let h be the second fundamental form of this immersion.  ... 

Page 2651 of Mathematical Reviews Vol. , Issue 93e [page]

1993 Mathematical Reviews  
Yau proved that if M” is a compact submanifold with parallel mean curvature in S"*? (p> 1), then M lies in a totally geodesic S"*! when S < n/(3+n'/?  ...  In this paper, making use of the property that the Weyl conformal curvature tensor vanishes for 3-dimensional or conformally flat Riemannian manifolds, the authors prove that if n, the dimension of M",  ... 

Software Development for Transitions of Graphs from Discrete State into the Continuous State

Ahmet Koltuksuz, Çağatay Y�cel
2014 Applied Mathematics & Information Sciences  
Manifolds are suitable differentiable mathematical objects for information to be defined on.  ...  In this research, the main aim is to investigate methods of embedding this simple piece of information onto manifolds.  ...  and smooth manifolds is investigated.  ... 
doi:10.12785/amis/080630 fatcat:4scnbpwaq5cgxiv3lcyjwx4eje

Page 2540 of Mathematical Reviews Vol. , Issue 87e [page]

1987 Mathematical Reviews  
For such manifolds, jointly with the usual sectional curvatures of g and g two new sectional curvatures are considered.  ...  The author investigates a relation between immersed sub- manifolds of the bundle space and the base space of a pseudo- Riemannian submersion t: NN — B.  ... 

Page 4178 of Mathematical Reviews Vol. , Issue 88h [page]

1988 Mathematical Reviews  
In his investigations the author uses the normal bun- dle of the surface with a metric similar to the Sasaki metric for the tangent bundle of a Riemannian manifold. V. T.  ...  Tensor (N.S.) 43 (1986), no. 3, 202-208. Let (Mg) be a Riemannian manifold. There is the following basic problem.  ... 

Validation of a Discrete Model for Flow Distribution in Dividing-Flow Manifolds: Numerical and Experimental Studies

András Tomor, Gergely Kristóf
2016 Periodica Polytechnica: Mechanical Engineering  
A novel discrete model with variable flow coefficients is developed for dividing-flow manifold design.  ...  The applicability and accuracy of the new model is also investigated, and a validation procedure is performed.  ...  Fig. 1 1 Different types of flow manifolds Fig. 2 2 Geometrical model of the investigated dividing-flow manifold Fig. 3 3 Schematic of the discrete model (a) along with the control volume for momentum  ... 
doi:10.3311/ppme.8518 fatcat:fdcnxf4hfvghbitj5nnubbxayq

Page 5771 of Mathematical Reviews Vol. , Issue 87j [page]

1987 Mathematical Reviews  
Summary: “We derive some integral formulas for a pair of sub- manifolds in Euclidean space E"*?  ...  Let M” be a pseudo-Riemannian manifold that can be isometri- cally immersed as a hypersurface into a space S"*+!(K) of constant curvature K, as well as into S"*+!(K,) for K # K;.  ... 


H. M. Hanna, P. M. Boyd, K. J. Baumgartner, J. L. Baker, T. S. Colvin
2006 Applied Engineering in Agriculture  
were refined for commercial production.  ...  Impellicone and pulse-width-modulated (PWM) manifolds are newer design alternatives to a Vertical-Dam manifold.  ...  ACKNOWLEDGEMENTS The authors thank CDS-John Blue of Huntsville, Alabama for partial funding of, and equipment used in, the Impellicone experiments. Thanks are also extended to Capstan Ag  ... 
doi:10.13031/2013.20454 fatcat:g5zxag7tl5eynkwauoxf5tgqjy
« Previous Showing results 1 — 15 out of 213,495 results