We confirm a conjecture of Littlewood: there exist seven infinite circular cylinders of unit radius which mutually touch each other. In fact, we exhibit two such sets of cylinders. Our approach is algebraic and uses symbolic and numerical computational techniques. We consider a system of polynomial equations describing the position of the axes of the cylinders in the 3 dimensional space. To hav...

This study aimed to clarify the physiological effects of touching wood with the palm, in comparison with touching other materials on brain activity and autonomic nervous activity. Eighteen female university students (mean age, 21.7  ±  1.6 years) participated in the study. As an indicator of brain activity, oxyhemoglobin (oxy-Hb) concentrations were measured in the left/right prefrontal cortex ...

The topological properties of electronic edge states in time-periodically driven spatially-periodic corrugated zigzag graphene nanoribbons are studied. An effective one-dimensionalHamiltonian is used to describe the electronic properties of graphene and the time-dependence is studiedwithin the Floquet formalism. Then the quasienergy spectrumof the evolution operator is obtained using analytical...

The topological properties of electronic edge states in time-periodically driven spatially-periodic corrugated zigzag graphene nanoribbons are studied. An effective one-dimensionalHamiltonian is used to describe the electronic properties of graphene and the time-dependence is studiedwithin the Floquet formalism. Then the quasienergy spectrumof the evolution operator is obtained using analytical...

The topological properties of electronic edge states in time-periodically driven spatially-periodic corrugated zigzag graphene nanoribbons are studied. An effective one-dimensionalHamiltonian is used to describe the electronic properties of graphene and the time-dependence is studiedwithin the Floquet formalism. Then the quasienergy spectrumof the evolution operator is obtained using analytical...

Whether mental operations can be reduced to the biological properties of the brain has intrigued scientists and philosophers alike for millennia. New microstimulation experiments on awake, behaving monkeys establish causality between activity of specialized cortical neurons and a controlled behavior.

Modi cations to a previous character level deciphering algorithm for OCR are presented in this paper that are able to handle touching characters and are tolerant to mistakes made at the clustering stage The objective of a character level deciphering algorithm is to assign alphabetic identities to character patterns such that the character repetition pattern in an input text matches the letter r...