On one hand, Judgment and Decision Making (JDM) research reports a phenomena called the cross-modal effect, which shows that magnitude priming based on spatial attributes of a stimuli might influence numerical estimations. On the other hand, research directed at human cognition reports that processing of space and numbers may interfere. Despite different theoretical backgrounds, those two lines of research report similar results. Is it possible that the cross-modal anchoring and the interaction between space and number are just two manifestations of the same psychological effect, conceptualized within different paradigms? In Experiment 1 participants were asked to draw lines of different length and estimate numerosity of sets of dots presented for 100 ms. Based on current studies, magnitude priming is assimilated with subsequent numerical judgment. However, an unexpected contrast effect was observed in Experiment 1. Priming of “smallness” resulted in higher estimations of numerosity, while priming of “largeness” was associated with lower estimations. Short exposition time often leads to automatic attention processes, which could possibly account for the observed contrast effect. In Experiment 2 this assumption was tested, verifying potential differences between different exposition times (100 ms vs 300 ms). The same pattern of results was obtained. Findings of both experiments are discussed from the perspective of different anchoring paradigms and concepts related to space and number processing.
Fractal analysis is one of the rapidly evolving branches of mathematics and finds its application in different analyses such as pore space description. It constitutes a new approach to the issue of their natural irregularity and roughness. To be properly applied, it should be encompassed by an error estimation. The article presents and verifies uncertainties along with imperfections connected with image analysis and expands on the possible ways of their correction. One of key aspects of such research is finding both appropriate place and the number of photos to take. A coarse- grained sandstone thin section was photographed and then pictures were combined into one, bigger image. Fractal parameters distributions show their change and suggest that the accurately gathered group of photos include both highly and less porous regions. Their amount should be representative and adequate to the sample. The resolution influence on the fractal dimension and lacunarity values was examined. For SEM limestone images obtained using backscattered electrons, magnification in the range of 120x to 2000x was used. Additionally, a single pore was examined. The acquired results point to the fact that the values of fractal dimension are similar to a wide range of magnifications, while lacunarity changes each time. This is connected with changing homogeneity of the image. The article also undertakes a problem of determining fractal parameters spatial distribution based on binarization. The available methods assume that it is carried out after or before the image division into rectangles to create fractal dimension and lacunarity values for interpolation. An individual binarization, although time consuming, provides better results that resemble reality to a closer degree. It is not possible to define a single, correct methodology of error elimination. A set of hints has been presented that can improve results of further image analysis of pore space.
Specific requirements are designed and implemented in electronic and telecommunication systems for received signals, especially high-frequency ones, to examine and control the signal radiation. However, as a serious drawback, no special requirements are considered for the transmitted signals from a subsystem. Different industries have always been struggling with electromagnetic interferences affecting their electronic and telecommunication systems and imposing significant costs. It is thus necessary to specifically investigate this problem as every device is continuously exposed to interferences. Signal processing allows for the decomposition of a signal to its different components to simulate each component. Radiation control has its specific complexities in systems, requiring necessary measures from the very beginning of the design. This study attempted to determine the highest radiation from a subsystem by estimating the radiation fields. The study goal was to investigate the level of radiations received and transmitted from the adjacent systems, respectively, and present methods for control and eliminate the existing radiations. The proposed approach employs an algorithm which is based on multi-component signals, defect, and the radiation shield used in the subsystem. The algorithm flowchart focuses on the separation and of signal components and electromagnetic interference reduction. In this algorithm, the detection process is carried out at the bounds of each component, after which the separation process is performed in the vicinity of the different bounds. The proposed method works based on the Fourier transform of impulse functions for signal components decomposition that was employed to develop an algorithm for separation of the components of the signals input to the subsystem.