Mathematical modeling with generalized function by Kilicman, Adem

“…In mathematical analysis, distributions also known as generalized functions are objects which generalize functions and probability distributions. …”
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On modified Mellin transform of generalized functions by Al-Omari, Shrideh Khalaf Qasem, Kilicman, Adem

“…We investigate the modified Mellin transform on certain function space of generalized functions. We first obtain the convolution theorem for the classical and distributional modified Mellin transform. …”
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Unified treatment of the Krätzel transformation for generalized functions by Al-Omari, Shrideh Khalaf Qasem, Kilicman, Adem

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The Mellin Transform of Generalized Functions and Some Applications by Kamel Ariffin, Muhammad Rezal

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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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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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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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On the generalized Hartley-Hilbert and Fourier-Hilbert transforms by Al-Omari, Shrideh Khalaf Qasem, Kilicman, Adem

“…In this paper, we discuss Hartley-Hilbert and Fourier-Hilbert transforms on a certain class of generalized functions. The extended transforms considered in this article are shown to be well-defined, one-to-one, linear and continuous mappings with respect to δ and Δ convergence. …”
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Internal affairs of political parties and judicial review : an expository study of the experience in Nigeria and Malaysia by Ab Aziz, Shamrahayu, Sambo, A.O.

“…Democracy with calls for constitutionalism has gained more recognition in many parts of the world. Given the general functions of judiciary as one of check and balance mechanisms in democracy most people and government have developed the interest in the judiciary and judicial process. …”
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Channel base current effects on the magnetic flux density waveshape associated with vertical lightning channel by Ab Kadir, Mohd Zainal Abidin, Gomes, Chandima, Wan Ahmad, Wan Fatinhamamah

“…Furthermore, some general functions were proposed by considering their effects The results showed that the proposed equations are in very good agreement with the calculated values using direct methods They could also predict the magnetic flux wave shapes versus different channel base current parameters under similar geometrical and lightning channel conditions. …”
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Distribution theory and neutrix calculus by Kilicman, Adem

“…Distributions also known as generalized functions which generalize classical functions and allow us to extend the concept of derivative to all continuous functions. …”
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Identification of urban form in the Bandung metropolitan area by Indriasari, Fadila, Giyarsih, Sri Rum, Marwasta, Djaka

“…The method used is quantitative analysis with locally weighted regression (LWR) and general functional polycentricity (Pgf) index. The results showed that traditional commuting still dominates with Bandung city as the main destination for commuting and Bandung Regency as the largest commuting sending area. …”
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The effectiveness of pavement rehabilitation at Kuala Lumpur Karak Highway by Abdul Rani, Onn

“…General function of a pavement is to provide a safe and comfortable riding surface to road users. …”
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SISTEM KENDALI ENCLOSED GROUND FLARE BERBASIS PLC SCHNEIDER SR3B261BD DI PT. KOBAR COMBUSTINDO BEKASI by , AHMAD ROSYIDI, , Muhammad Arrofiq,ST.,MT.,Ph.D.

“…Control of enclosed ground flare performed by the control panel is composed of PLC, relay, temperature control, and inverter. In general function of the control panel to drive the electronic components are arranged in enclosed ground flare such as solenoid valve, motorized valve, UV flame detector, etc. …”

Process Of Housing Transformation In Iran by Mirmoghtadaee, Mahta

“…In the transition period, however, a new residential type appeared, in which living spaces were categorised according to their general functions. Spatial arrangement, together with plan layout and proportions, facilitated the limited potential for varied lifestyles. …”
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Profil Serum Amyloid A (SAA) pada Pasien Angina Pektoris Stabil di RSUP DR. Sardjito Yogyakarta by , AVIAN KRISPRATAMA, , Dr. Setyawati, Sp.PK(K)

“…Serum Amyloid A is one of the clinical chemical parameter as a sign of acute inflamation, that suspected play an important role on progression of atherosclerosis. In general, function of SAA as an specific laboratory marker canâ��t be precisely postulated, there are some things that remains unclear according to researches that contradictively one to another. …”

Functional Characterization of Yiro10w (DSN1) and Yor228c Genes in Saccharomyces Cerevisiae by Yiap, Beow Chin

“…As a whole, this study has successfully elucidated the general functions of the two genes under investigation, namely the relationship between YOR228C to growthlstressresponse and the link between YIROIOW to the cell division cycle.…”
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