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The Boolean Hierarchy I: Structural Properties
The complexity of sets formed by boolean operations (union, intersection, and complement) on NP sets are studied, showing that in some relativized worlds the boolean hierarchy is infinite, and that for every k there is a relativization world in which the Boolean hierarchy extends exactly k levels.
A survey on counting classes
- T. Gundermann, N. Nasser, G. Wechsung
- MathematicsProceedings Fifth Annual Structure in Complexity…
- 8 July 1990
The authors prove P/sup EP(log)/ 25 PP, investigate the Boolean closure BC( EP) of EP, and give a relativization principle which allows them to completely separate BC(EP) in a suitable relativized world and to give simple proofs for known relativizing results.
XμCT analysis of magnetic field-induced phase transitions in magnetorheological elastomers
The phase behavior of polymer solutions and composites is a complex issue and is of both technological and fundamental interest. For a better understanding of the microstructure formation in…
The Boolean Hierarchy II: Applications
The Boolean Hierarchy I: Structural Properties explores the structure of the boolean hierarchy, the closure of NP with respect to boolean hierarchies, and the role of symbols in this hierarchy.
Investigation of the motion of particles in magnetorheological elastomers by X-μCT
The behavior of magnetic particles inside elastomeric matrices is a complex issue and can be influenced in many ways, e.g. by applying a magnetic field or external mechanical stimuli. It is of…
Statistical analysis of magnetically soft particles in magnetorheological elastomers
The physical properties of magnetorheological elastomers (MRE) are a complex issue and can be influenced and controlled in many ways, e.g. by applying a magnetic field, by external mechanical…
Importance of matrix inelastic deformations in the initial response of magnetic elastomers
- Pedro A Sánchez, T. Gundermann, A. Dobroserdova, S. Kantorovich, S. Odenbach
- Materials ScienceSoft matter
- 12 February 2018
The initial magnetic response of magnetic elastomers can be explained by irreversible polymer matrix deformations under first external field application.
Tunable dynamic moduli of magnetic elastomers: from characterization by x-ray micro-computed tomography to mesoscopic modeling
- Giorgio Pessot, M. Schümann, T. Gundermann, S. Odenbach, H. Löwen, A. Menzel
- Materials ScienceJournal of physics. Condensed matter : an…
- 23 February 2018
This work uses data extracted from real magnetoelastic samples as input for coarse-grained dipole-spring modeling and calculations to investigate internal restructuring, stiffening, and changes in the normal modes spectrum of ferrogels and magnetorheological elastomers.
Microscopic investigation of the reasons for field-dependent changes in the properties of magnetic hybrid materials using X-ray microtomography
Magnetic hybrid materials, i.e. materials containing magnetic particles as magnetoactive component in a non-magnetic matrix, can be controlled concerning their properties by means of moderate…
Field‐induced plasticity of magneto‐sensitive elastomers in context with soft robotic gripper applications
Magnetic hybrid composite materials have the peculiarity to change their mechanical properties when influenced by a magnetic field. This special characteristic can be used to develop smart actuators,…