Impact of Primary Air Separation in a Grate Furnace on the Resulting Combustion Products by Michał Kozioł, Joachim Kozioł

“…The paper proposes the use of a generalized function to describe the distribution of air, defined by its total demand and the relative time R that fuel remains on the grate until the maximum air stream is obtained. …”
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Influence of host phylogeny, geographical location and seed harvesting diet on the bacterial community of globally distributed Pheidole ants by Cíntia Martins, Corrie S. Moreau

“…These results demonstrate that Pheidole has a relatively stable microbiota across species, which suggests the bacterial community may serve a generalized function in this group.…”
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Grey wolf optimizer for identification of liquid slosh behavior using continuous-time hammerstein model by Mohd Ashraf, Ahmad, Zulkifli, Musa, Mohd Helmi, Suid, Mohd Zaidi, Mohd Tumari

“…In contrast to other research works, this paper consider a piece-wise affine function in the nonlinear function of the Hammerstein model, which is more generalized function. Moreover, a continuous-time transfer function is utilized in the Hammerstein model, which is more suitable to represent a real system. …”
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Identification of Liquid Slosh Behavior using Continuous-time Hammerstein Model based Sine Cosine Algorithm by Jui, Julakha Jahan, Mohd Helmi, Suid, Zulkifli, Musa, Mohd Ashraf, Ahmad

“…In contrast to other research works, this paper consider a piece-wise affine function in the nonlinear function of the Hammerstein model, which is more generalized function. Moreover, a continuous-time transfer function is utilized in the Hammerstein model, which is more suitable to represent a real system. …”
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Modified Sine Cosine Algorithm for Identification of Liquid Slosh based on Continuous-time Hammerstein Model by Jui, Julakha Jahan, Mohd Helmi, Suid, Mohd Riduwan, Ghazali, Mohd Ashraf, Ahmad, Mohd Zaidi, Mohd Tumari

“…In contrast to other research works, this paper considers a piece-wise affine function in a nonlinear function of the Hammerstein model, which is more generalized function. Moreover, a continuous-time transfer function is utilized in the Hammerstein model, which is more suitable to represent a real system. …”
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High accuracy distinction of shockable and non-shockable arrhythmias in abnormal classes through wavelet transform with pseudo differential like operators by Md. Masudur Rahman, Sergio Albeverio, Toshinao Kagawa, Shuji Kawasaki, Takayuki Okai, Hidetoshi Oya, Yumi Yahagi, Minoru W. Yoshida

“…This paper presents an arrhythmia diagnosis system for the AED by engineering methods and generalized function theories. In the arrhythmia diagnosis system, the proposed wavelet transform with pseudo-differential like operators-based method effectively generates a distinguishable scalogram for the shockable and non-shockable arrhythmia in the abnormal class signals, which leads to the decision algorithm getting the best distinction. …”
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More on the Unified Mittag–Leffler Function by Chahnyong Jung, Ghulam Farid, Hafsa Yasmeen, Kamsing Nonlaopon

“…We have obtained some integral transforms of unified Mittag–Leffler function in terms of Wright generalized function. We also established a recurrence relation along with another important result. …”
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DETERMINATION OF PULSATION FACTORS OF THE SYSTEM OF SUPPRESSION OF INTERFERING HARMONICS OF A SEMICONDUCTOR CONVERTER by V. V. Panchenko, A. S. Maslii, D. P. Pomazan, S. G. Buriakovskyi

“…The research was conducted with the usage of classic electric circuit theory, frequency analysis methods, generalized function theory. Results. The obtained expressions mathematically relate pulsation factors, value of the damping coefficient and manipulative variable for different frequencies of interfering harmonics in the system with double-sided PWM. …”
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Optimization Formulation of Semi-Finished Sponge Cake by Marinina E., Sadygova M., Kirillova T., Kanevskaya I.

“…The highest value of the generalized function of desirability belonged to the sample where white wheat flour was subsituted with 30% of rye flour and the sample with 100% of rye flour with a 40% sugar reduction. …”
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Development of fish cupula inspired multi-fluidic sensor for liquid slosh detection by Ahmad, Mohd Ashraf, Musa, Zulkifli, Zawawi, Mohd Anwar, Mohd Falfazli, Mat Jusof, Mohd Rashid, Muhammad Ikram, Suid, Mohd Helmi, Zaharuddin, Mohamed

“…In contrast to other research works, a piece-wise affine function is considered in a nonlinear function of the Hammerstein model, which is more generalized function. Moreover, a continuous-time transfer function is utilized in the Hammerstein model, which is more suitable to represent a real system. …”
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ENVIRONMENTAL IMPACT ASSESSMENT FOR CONSTRUCTION AND RECONSTRUCTION OF MOTOR ROADS by Anatolii Morozov, Tetiana Morozova, Vadym Ziuziun

“…Conclusion. The generalized function allows you to set an integral indicator of environmental impact assessment, which is a quantitative, unambiguous, universal indicator of the quality of the studied object and can be used as an EIA criterion for the construction and reconstruction (repair) of a road through its adequacy, efficiency and statistical sensitivity.…”
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Frequency-Aware Summarization of Resting-State fMRI Data by Maziar Yaesoubi, Maziar Yaesoubi, Rogers F. Silva, Rogers F. Silva, Armin Iraji, Armin Iraji, Vince D. Calhoun, Vince D. Calhoun, Vince D. Calhoun

“…We propose a novel data-driven approach built upon ICA, which is based on measuring dependence as a generalized function of frequency. Applying this approach to fMRI data provides evidence of existing cross-frequency functional connectivity between different areas of the brain.…”
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The Psychosocial Risk Factors Evaluation and Management of Shift Personnel at Forest Harvesting by Yana Korneeva, Natalia Simonova, Nina Shadrina

“…The study describes psychosocial risk factors at work in relation to the general functional state of a body, working capacity and stress among shift workers at a logging enterprise in the Far North. …”
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On the generalized Krätzel transform and its extension to Boehmian spaces by Al-Omari, Shrideh Khalaf Qasem, Kilicman, Adem

“…We investigate the Kratzel transform on certain class of generalized functions. We propose operations that lead to the construction of desired spaces of generalized functions. …”
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On the exponential Radon transform and its extension to certain functions spaces by Al-Omari, Shrideh Khalaf Qasem, Kilicman, Adem

“…We investigate the exponential Radon transform on a certain function space of generalized functions. We establish certain space of generalized functions for the cited transform. …”
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Influence of psychosocial factors at work on the non-departmental security officers of the National Guard of the Russian Federation by A. V. Korneeva, Ya. A. Korneeva

“…To identify and to describe psychosocial factors at work in relation to the general functional state of the body, stress and performance of non-departmental security officers.   …”
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Research on a Fusion Scheme of Cellular Network and Wireless Sensor for Cyber Physical Social Systems by Ai-Min Yang, Xiao-Lei Yang, Jin-Cai Chang, Bin Bai, Fan-Bei Kong, Qing-Bo Ran

“…Based on this, the purpose of this paper is to extract the general functions that necessary but unrelated with the specific application in the cellular network and wireless sensor fusion technology. …”
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Extensions of nonclosable operators and multiplication of distributions by Anatolij B. Antonevich, Cemal Dolicanin

“…One of particular cases of the problem under consideration is the question on multiplication of distributions, a solution to which can be given by introduction of the so-called new generalized functions. It was demonstrated that the main obstacle for multiplication of distributions is nonclosablility of classical multiplication and the construction of new generalized functions is based on the ideas similar to that used under construction of the extension of nonclosable operators.…”
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Simulation of temperature conditions in the elements of microelectronic devices by Gavrysh V. I., Kosach A. I.

“…The piecewise-linear approximation of the required temperature at the boundaries of foreign inclusions using generalized functions has been conducted.…”
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Relations of k-th derivative of dirac delta in hypercone with ultrahyperbolic operator by Manuel A. Aguirre T.

“…In this paper we prove that the generalized functions d (k) (P+) - d (k) (P), d (k) (P-)-d (k) (-P) and d 1 (k) (P)-d 2 (k) (P)d are concentrated in the vertex of the cone P=0 and we find their relationship with the ultrahyperbolic operator iterated (k +1 -n/2 ) times under condition k ³ n/2-1 Keywords: distributions, generalized functions, distributions spaces, properties of distributions.…”
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