Volume 2 Issue 3
Authors: Tadao Nakamura; Koji Nagata
Abstract: We review that a singleton set, i.e., {1} does not meet Zermelo-Fraenkel set theory with the axiom of choice. Our discussion relies on the validity of Addition and Multiplication. Our result shows the current axiomatic set theory has a contradiction even if we restrict ourselves to Zermelo-Fraenkel set theory, without the axiom of choice [K. Nagata and T. Nakamura, Adv. Studies Theor. Phys. 5, 57 (2011)]. On the other hand, Physics does not have any contradiction because we consider it as a set of experimental data. Axiomatizing all of physics (experimental data) is impossible when we accept Zermelo-Fraenkel set theory with the axiom of choice. Our discussion results in the fact that the answer of Hilbert’s 6th problem is pessimistic. All analyses are performed in a finite set of natural numbers.
Keywords: Quantum Measurement Theory; Quantum Computer; Set Theory; Formalism
Authors: I. Pereyra; M.N.P. Carre?o; M.Z. Mielli; T.M. Fraga; K.F. Albertin
Abstract: TiO2 nanotube arrays obtained by Ti foil anodization are tested as pH electrodes, showing performance close to standard glass electrodes. The TiO2 nanotube arrays were obtained by Ti foil anodization in a NH4F organic solution with different anodization voltages and times. Annealing treatment to promote nanotubes crystallization in anatase phase is also done. The obtained nanotubes samples were characterized by Raman spectroscopy and Scanning Electron Microscopy (SEM). In order to assess the viability of integrating the nanotubes to microfluidic devices, patternig of the nanotubes arrays is demonstrated and experiments showing the growth within microchannels and microcavities are also performed. Although preliminar, these results are promising for development of TiO2 nanotube based biosensors integrated in microfluidic “Lab-on-Chip” systems.
Keywords: TiO2 Nanotubes; Ph Sensors; Photolithography Pattern
Authors: Jinsong Wang; Yundong Zhu
Abstract: A method of measuring the variation of the aiming baseline, which uses an infrared collimator as the main measuring instrument, is put forward in this paper. Based on the measuring principle of the optical measuring system about the variation of the aiming baseline in the aiming sights, an optical measuring system has been designed, which includes an infrared collimator as the main measuring instrument. The experimental result shows that this method can well solve the problem--the limitation of the measuring range caused by the small field of view of the reflection type collimator. And the angular accuracy of 0.05 mils is realized in this system.
Keywords: Collimator; Aiming Baseline; Aiming Sight