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Over the past decade, exponential Diophantine equations of the form ax + by = w n have been studied as if they were a phenomenon. In particular, numerous articles have focused on the cases where n = 2 or n = 4 and 2 ≤ a, b ≤ 200. However, these articles are primarily concerned with determining whether the left-hand side of the equation needs to consist of more than two exponentials. Therefore, in this article, we investigate the exponential Diophantine equation in the form ax + by = w², using only elementary tools related to modulo concepts. We present three theorems in which the variables a, b and c vary under certain conditions, and three additional theorems where the variable c is fixed at 7. Furthermore, if we restrict our parameters a, b and c to 2 ≤ a ≤ b ≤ c ≤ 20, then 1,330 equations have been considered. Our results confirm that 135 of these equations have been fully clarified. [ABSTRACT FROM AUTHOR]

In the context of updating the Cuban economic model, special emphasis is placed on the development and promotion of management systems as tools for decision-making. This paper presents the design of the Management System Module, specifically the component of standardized management systems within the framework of the I Edition of the Diploma in Public and Business Administration of the Higher School of State and Government Cadres. The research is based on various tools and techniques and on the processing of scientific information from specialized databases in this area of knowledge. [ABSTRACT FROM AUTHOR]

In this work, a chaotification technique is proposed that can be used to enhance the complexity of any one-dimensional map by adding the remainder operator to it. It is shown that by an appropriate parameter choice, the resulting map can achieve a higher Lyapunov exponent compared to its seed map, and all periodic orbits of any period will be unstable, leading to robust chaos. The technique is tested on several maps from the literature, yielding increased chaotic behavior in all cases, as indicated by comparison of the bifurcation and Lyapunov exponent diagrams of the original and resulting maps. Moreover, the effect of the proposed technique in the problem of pseudo-random bit generation is studied. Using a standard bit generation technique, it is shown that the proposed maps demonstrate increased statistical randomness compared to their seed ones, when used as a source for the bit generator. This study illustrates that the proposed method is an efficient chaotification technique for maps that can be used in chaos-based encryption and other relevant applications. [ABSTRACT FROM AUTHOR]

The objective of this article was to design a prototype supported by the project-based teaching method as a learning tool through the development of an interactive module. According to the proposed purpose, the present investigation is considered participatory action since it allows the student -educator- school-community to develop truthfully, which is why the common meaning never invades the individuality of the individuals who communicate due to that each being advances from itself in its capacity to renew itself permanently (Borjas, 2008). The project was carried out in stages. The first stage was orientation; it was carried out to verify the knowledge of the students in terms of technology 4.0 and interactive modules. At this stage, feedback was provided between the students and the teacher to answer the following questions: What is technology 4.0? What are the main technological tools? What is an interactive module? What are its advantages? What are the elements it contains? As main actions for the project, the authors through direct observation determined what are the necessary skills that must be developed in students to work with information and communication technologies (ICT) likewise, verify who has difficulties. With the development of this project it was possible to verify that the interactive modules constitute an innovative and didactic teaching and learning strategy since it allows the information to be presented in an organized manner. The 4.0 technology project developed at the U.E.P San Judas Tadeo allowed the application of new learning strategies, opening a new educational field of great projection in the field of science and cultural education [ABSTRACT FROM AUTHOR]

Following the Unlimited Sampling strategy to alleviate the omnipresent dynamic range barrier, we study the problem of recovering a bandlimited signal from point-wise modulo samples, aiming to connect theoretical guarantees with hardware implementation considerations. Our starting point is a class of non-idealities that we observe in prototyping an unlimited sampling based analog-to-digital converter. To address these non-idealities, we provide a new Fourier domain recovery algorithm. Our approach is validated both in theory and via extensive experiments on our prototype analog-to-digital converter, providing the first demonstration of unlimited sampling for data arising from real hardware, both for the current and previous approaches. Advantages of our algorithm include that it is agnostic to the modulo threshold and it can handle arbitrary folding times. We expect that the end-to-end realization studied in this paper will pave the path for exploring the unlimited sampling methodology in a number of real world applications. [ABSTRACT FROM AUTHOR]

Shannon's sampling theorem, at the heart of digital signal processing, is well understood and explored. However, its practical realization still suffers from a fundamental bottleneck due to dynamic range limitations of the underlying analog–to–digital converters (ADCs). This results in clipping or saturation for signal amplitudes exceeding their maximum recordable voltage thus leading to a significant information loss. In this paper, we develop an alternative paradigm for sensing and recovery, called the Unlimited Sampling Framework. The key observation is that applying a modulo operation to the signal before the ADC prevents saturation; instead, one encounters a different type of information loss. Such a setup can be implemented, for example, via so-called folding or self-reset ADCs, as proposed in various contexts in the circuit design literature. The key challenge for this new type of information loss is to recover a bandlimited signal from its modulo samples. We derive conditions when perfect recovery is possible and complement them with a stable recovery algorithm. The required sampling density is independent of the maximum recordable ADC voltage and depends on the signal bandwidth only. Our guarantees extend to measurements affected by bounded noise, which includes round-off quantization. Numerical experiments validate our approach. For example, it is possible to recover functions with amplitudes orders of magnitude higher than the ADC's threshold from quantized modulo samples up to the unavoidable quantization error. Applications of the unlimited sampling paradigm can be found in a number of fields such as signal processing, communication and imaging. [ABSTRACT FROM AUTHOR]

The design and simulation of a multifunctional system for the machining of mechanical parts and printing in 3D (x, y, z) using CAD software Solid works, was used to determine the static behavior of the system with the analysis of tension, deformation, displacement, safety factor, buckling, fatigue and frequency. For the above, it was determined that the lateral base supports a tension of 3.5x108 Pa, causing a displacement of 25 mm and an equivalent unit strain (ESTRN) of 0.0012. And the base guiding a cumulative damage of 300% of deterioration that reduces its useful life to a range between 1x106 and 1x1065 utility cycles and a safety factor (F S) between 104.632 to 7869.86. On the other hand, the transverse base has a maximum cumulative damage percentage of 4.10535 and a life cycle range ranging from 24358.5 to 1x106 with a minimum SF of 5974. [ABSTRACT FROM AUTHOR]

A non-extra pixel interpolation NPI is introduced for efficient image upscaling purposes. The NPI algorithm uses extended-triangular and linear scaling functions to match the pixel coordinates. The triangular function uses a modulo-operator with only two variables representing image pixels and scaling ratio. Every two variables of the linear scaling function represent the source/destination image pixels and scaling ratio. The traditional ceil function is used to round off non-integer pixel coordinates. The circshift and padarray functions are used to circularly shift the elements in array output by k -amount in each dimension and pad elements of the d th columns/rows by g-padsize in the shifted array, respectively. The k , d and g values are determined with respect to integer scaling ratios by a vector of n -elements. The Exactness, Peak Signal-to-Noise Ratio, Signal-to-Noise Ratio and Discrete Fourier Transform techniques were used for objective evaluation purposes. Experiments demonstrated comparable results as well as the need for further researches. [ABSTRACT FROM AUTHOR]

The majority of the panels created by Athos Bulcão present as its main characteristic the randomness in positioning. His tiles (modules) are designed to, by randomly placement; make it possible that several configurations emerge in his works. This article studies the relationship between these modules design and the number of possible solutions of a project that uses randomness. This will be achieved by the tiles design analysis and its combinatory possibilities, considering symmetry and rotation. [ABSTRACT FROM AUTHOR]

Let be an integer. Denote by the multiplicative order of modulo integer . We prove that there is a positive constant such that if , then where It was known for in [P. Kurlberg and C. Pomerance, On a problem of Arnold: The average multiplicative order of a given integer, Algebra Number Theory 7 (2013) 981-999] in which they refer to [F. Luca and I. E. Shparlinski, Average multiplicative orders of elements modulo , Acta Arith. 109(4) (2003) 387-411. [ABSTRACT FROM AUTHOR]

Compute-and-forward (CF) harnesses interference in a wireless network by allowing relays to compute combinations of source messages. The computed message combinations at relays are correlated, and so directly forwarding these combinations to a destination generally incurs information redundancy and spectrum inefficiency. To address this issue, we propose a novel relay strategy, termed compute-compress-and-forward (CCF). In CCF, source messages are encoded using nested lattice codes constructed on a chain of nested coding and shaping lattices. A key difference of CCF from CF is an extra compressing stage inserted in between the computing and forwarding stages of a relay, so as to reduce the forwarding information rate of the relay. The compressing stage at each relay consists of two operations: first to quantize the computed message combination on an appropriately chosen lattice (referred to as a quantization lattice), and then to take modulo on another lattice (referred to as a modulo lattice). We study the design of the quantization and modulo lattices and propose successive recovering algorithms to ensure the recoverability of source messages at destination. Based on that, we formulate a sum-rate maximization problem that is in general an NP-hard mixed integer program. A low-complexity algorithm is proposed to give a suboptimal solution. Numerical results are presented to demonstrate the superiority of CCF over the existing CF schemes. [ABSTRACT FROM AUTHOR]

Seeking to further enhance care for immunosuppressed HIV / AIDS patients, the World Health Organization (WHO) developed a way to evaluate their quality of life. As HIV / AIDS is a chronic disease, and with the introduction of drugs in 1986, the expectancy of life of those patients increased over the years and the health care professionals started to give more attention to the quality of life those patients could have. A new quality of life assessment, the WHOQOL-100, was then developed and has a wide approach, being used for HIV / AIDS patients with questions regarding physical capacity, psychological, independence, social relationships, environment and spirituality. [ABSTRACT FROM AUTHOR]

Abstract: In this work a new efficient modulo 2 n +1 modified Booth multiplication algorithm for both operands in the weighted representation is proposed. Furthermore, the same algorithm is extended to realize modulo 2 n +1 multiply-add units. The derived partial products are reduced by an inverted end around carry-save adder tree to two operands, which are finally added by a modulo 2 n +1 adder. The performance and efficiency of the proposed multipliers are evaluated and compared against the earlier modulo 2n+1 multipliers, based on a single gate level model. Comparisons based on experimental CMOS implementations for both the multiply and multiply-add units are also given. The proposed multipliers yield area and power savings by an average of 15% and 10% respectively, while the corresponding area and power savings of the proposed multiply-add units are 14% and 21% respectively. [Copyright &y& Elsevier]

The work aims to, in a very brief space, exhibit the characteristics of our educational model, called Modular system, in particular for what it does to its curricular structure based on transform objects, concept of piagetian origin, which, in turn, Santaolalla with the concepts of interdisciplinarity and operating group. Described all this in the context of three historical stages: the pop-up or process instituent, the formative or process of institutionalization and consolidation, with some reflections on a general balance of the system today. It is necessary to point out that the University that gave rise to this model in Mexico, is the Xochimilco unit at the Metropolitan Autonomous University. It also should be noted, that the Modular system has 37 years of evolution and is located at the crossroads of associate with the model, ICT, spearhead of the technological revolution in information and communication. Finely we emphasize that the model has spread in some universities of our country in Central and South America sisters, with relative success. [ABSTRACT FROM AUTHOR]

In the 1950s, modern architecture became one of the most compelling and widely circulated, if controversial, symbols of industrial and cultural progress in Brazil. Such architects as Oscar Niemeyer and Affonso Reidy were both celebrated and reviled by specialists in the developed world for the liberties they took reconfiguring European architectural conventions for their tropical conditions. Two particular cases emanating from Rio de Janeiro – Reidy's design for the Museu de Arte Moderna and Niemeyer's journal Módulo – highlight how Brazilians engaged with this polemical discourse and disseminated their works of tropical modernism to foreign audiences. Through these and other examples, this article also points to ways in which Brazilians were complicit in the exoticization of their own country, deploying rhetoric about the tropics when it was advantageous and condemning it when it was not. [ABSTRACT FROM PUBLISHER]

It is shown that a diminished-1 adder, with minor modifications, can be also used for the modulo 2n + 1 addition of two n-bit operands in the weighted representation, if the sum of its input operands is decreased by one. This modified diminished-1 adder can perform n-bit modulo 2n + 1 addition in less area and time than solutions that are based on the use of binary adders and/or weighted modulo 2n + 1 adders. Therefore, it can be applied effectively to all weighted modulo 2n + 1 arithmetic components that finally derive two n-bit addends. A small number of weighted arithmetic components have in the past adopted such a scheme without presenting this general theory. By applying this idea, we propose novel multi-operand modulo 2n + 1 adders (MOMAs) and residue generators (RGs). Experimental results indicate that the resulting arithmetic components offer significant savings in delay, implementation area and average power consumption compared to the currently most efficient solutions. [ABSTRACT FROM AUTHOR]

The FOTOCAL automated system performs the calculation of the dimensions and the electricity generation of the photovoltaic module that it is needed for the energy demand according to outlined situation; it also establishes the price of the required technology. With the results of this software, it is possible to establish the economic resources for the installation of this technological proposal. This program has been used for the determination of the sun photovoltaic energy potential of agricultural facilities, projects of scientific research, thesis for the obtaining of the title of mechanized system engineering, master and diploma work. [ABSTRACT FROM AUTHOR]

A distance measure between two histograms has applications in feature selection, image indexing and retrieval, pattern classification and clustering, etc. We propose a distance between sets of measurement values as a measure of dissimilarity of two histograms. The proposed measure has the advantage over the traditional distance measures regarding the overlap between two distributions; it takes the similarity of the non-overlapping parts into account as well as that of overlapping parts. We consider three versions of the univariate histogram, corresponding to whether the type of measurement is nominal, ordinal, and modulo and their computational time complexities are Θ(b), Θ(b) and O(b2) for each type of measurements, respectively, where b is the number of levels in histograms. [Copyright &y& Elsevier]