Weighted Radon transforms for which the Chang approximate inversion formula is precise

We describe all weighted Radon transforms on the plane for which the Chang approximate inversion formula is precise. Some subsequent results, including the Cormack type inversion for these transforms, are also given

Preparation and selected properties of Al88Y8-xFe4+x (x = 0, 1, 2 at. %) Alloys in bulk form

The paper presents selected properties of AlYFe rapidly solidified alloys. Samples in the form of plates, obtained by pressure casting method, were subjected to structural tests in order to determine the mechanical properties of the alloys, as well as their corrosion resistance. The corrosion resistance of samples was examined using polarization tests in 3,5 % NaCl solution at 25 °C. The influence of this corrosive medium on the sample’s surface was analyzed with microscopic observations and energy-dispersive spectroscopy (EDS). The mechanical properties of alloys were determined by Vickers hardness tests. The results showed that the properties of Al88Y8-xFe4+x (x = 0, 1, 2 at. %) alloys are related to changes in the content of alloying elements

Preparation and selected properties of Al88Y8-xFe4+x (x = 0, 1, 2 at. %) Alloys in bulk form

The paper presents selected properties of AlYFe rapidly solidified alloys. Samples in the form of plates, obtained by pressure casting method, were subjected to structural tests in order to determine the mechanical properties of the alloys, as well as their corrosion resistance. The corrosion resistance of samples was examined using polarization tests in 3,5 % NaCl solution at 25 °C. The influence of this corrosive medium on the sample’s surface was analyzed with microscopic observations and energy-dispersive spectroscopy (EDS). The mechanical properties of alloys were determined by Vickers hardness tests. The results showed that the properties of Al88Y8-xFe4+x (x = 0, 1, 2 at. %) alloys are related to changes in the content of alloying elements

On the Tomographic Picture of Quantum Mechanics

We formulate necessary and sufficient conditions for a symplectic tomogram of a quantum state to determine the density state. We establish a connection between the (re)construction by means of symplectic tomograms with the construction by means of Naimark positive-definite functions on the Weyl-Heisenberg group. This connection is used to formulate properties which guarantee that tomographic probabilities describe quantum states in the probability representation of quantum mechanics.Comment: 10 pages,latex,submitted to Physics Letters

Kopyor Coconut Detection Using Sound-based Dynamic TIME Warping Method

Kopyor coconut is a coconut that has genetic abnormalities which cause the coconut meat to have a unique texture and is detached from the coconut shell. Its uniqueness attracts many enthusiasts resulting in a high economic value, 4-5 times that of the ordinary coconut. From its external appearance, kopyor coconut does not differ with ordinary coconut and this poses a challenge in the detection stage. To date, both farmers and sellers use a traditional approach by listening to the sound of whisk from kopyor coconut to detect them. Unfortunately, this approach relies heavily on experience and expertise of the person. Therefore, a new detection approach is proposed based on sound recognition using Mel Frequency Cepstrum Coefficient (MFCC) as the method for feature extraction and Dynamic Time Warping (DTW) as the method for feature matching. Objects that will be detected are kopyor coconuts and ordinary coconut which has grown mature. By implementing both methods, a program has been developed to detect kopyor coconut with an accuracy of 93.8%