Compatibility conditions and nonabelian tensor products of finite cyclic groups of ρ-power order by Mohd Sham, Mohamad

“…The nonab elian tensor pro ducts of groups originated from a generalized Van Kamp en Theorem and its construction has its origins in algebraic K-theory and in homotopy theory.In this research,cyclic groups of p-p ower order where p is a prime numb er are considered.The aim of this research is to prove that the nonabelian tensor pro ducts of some finite cyclic groups of p-p ower order are cyclic.This research starts with the characterization of automorphisms of cyclic groupsof p-p ower order using numb er theoretical results where the order of the actions are considered.Then,the necessary and sufcient conditions for the actions to b ecompatible are determined for a pair of finite cyclic groups.Finally,by using a general expansion formula,the nonab elian tensor pro ducts of some cyclic groups of p-p ower order are proven to b e cyclic.The results of this research show that the nonabelian tensor pro duct of cyclic groups of p-p ower order where p is an odd prime with two-sided actions are cyclic.Furthermore,the nonab elian tensor product of cyclic groups of 2-power order with two-sided actions and b oth actions have order greater than two have been proven to b e also cyclic…”
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Investigating white matter changes in auditory cortex and association fibres related to speech processing in noise-induced hearing loss : A diffusion tensor imaging study by Mohd Khairul Izamil, Zolkefley, Norhidayah, Abdull, Shamsuddin Perisamy, Rajeev, Muzaimi, Mustapha, Daud, Adam, Muhamad Ariff, Muhamad Noordin

“…Methods: The study included two groups: nine bilateral NIHL patients and nine individuals with normal hearing. Advanced diffusion tensor imaging techniques were employed to assess changes in the white matter tracts. …”
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The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order by Sahimel Azwal, Sulaiman, Yuhani, Yusof, Shahoodh, Mohammed Khalid

“…The non-abelian tensor product of groups has its origins in the algebraic K-theory and homotopy theory. …”
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Compatible actions for finite cyclic groups of p-power order by Shahoodh, Mohammed Khalid

“…The concept of the nonabelian tensor product of groups has its origins in the algebraic K-theory and the homotopy theory. …”
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Compatible pairs of actions for finite cyclic 2-groups and the associated compatible action graphs by Sahimel Azwal, Sulaiman

“…The nonabelian tensor product is defined for a pair of groups which act on each other provided the actions satisfying the compatibility conditions. …”
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Compatible actions for finite cyclic groups of p-power order by Mohamad, Mohd Sham, Mohd Aziz, Mohd Khairul Bazli, Adam, Samsudin, Adli Aminuddin, Adam Shariff, Yusof, Yuhani, Nor Haniza, Sarmin

“…The concept of the nonabelian tensor product of groups has its origins in the algebraic K-theory and the homotopy theory. …”
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Compatible actions for finite cyclic groups of p-power order by Mohamad, Mohd Sham, Mohd Aziz, Mohd Khairul Bazli, Adam, Samsudin, Adli Aminuddin, Adam Shariff, Yusof, Yuhani, Nor Haniza, Sarmin

“…The concept of the nonabelian tensor product of groups has its origins in the algebraic Ktheory and the homotopy theory. …”
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Number of Compatible Pair of Actions For Finite Cyclic Groups of 3-Power Order by Shahoodh, Mohammed Khalid, Yuhani, Yusof, Sahimel Azwal, Sulaiman

“…Compatible actions are important in determining the non-abelian tensor product. Different compatible pair of actions gives a different tensor product even for the same group. …”
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Number of Compatible Pair for Nontrivial Actions of Finite Cyclic 2-Groups by Sahimel Azwal, Sulaiman, Mohd Sham, Mohamad, Yuhani, Yusof, Mohammed Khalid, Shahoodh

“…The nonabelian tensor product of groups has its origins in the algebraic K-theory and homotopy theory. …”
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Compatible Pair of Nontrivial Actions for Cyclic Groups of 3-Power Order by Shahoodh, Mohammed Khalid, Mohd Sham, Mohamad, Yuhani, Yusof, Sahimel Azwal, Sulaiman

“… A compatible action played an important role before computing the nonabelian tensor product. Number of compatible actions will give the different nonabelian tensor product. …”
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Study of vision based traffic congestion classification monitoring system (vbtccms) by Shamrao, Ramasamy

“…The study of congestion factor utilising YOLO and Deep Sort, which was constructed using TensorFlow and Keras platform, will be covered in this thesis. …”
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Automorphisms of finite cyclic 3-groups by Fatin Hanani, Hasan, Mohd Sham, Mohamad, Yuhani, Yusof

“…A distinct compatible pair of actions will result in distinct nonabelian tensor products. This proves that the number of compatible pairs of action plays a huge role as the greatest variety nonabelian tensor product relies on it. …”
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Subgraph of Compatible Action Graph for Finite Cyclic Groups of p-Power Order by Shahoodh, Mohammed Khalid, Mohd Sham, Mohamad, Yuhani, Yusof, Sahimel Azwal, Sulaiman

“…Given two groups G and H, then the nonabelian tensor product G ⊗ H is the group generated by g ⨂ h satisfying the relations gg' ⊗ h = (gg' ⊗ g h) (g ⨂ h) and g ⊗ hh' = (g ⊗ h) (h g' ⊗ h h) for all g g' ∈ G and h, h' ∈ H. …”
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Multiscale Modelling of 3-Dimensional Brain Tissue with Capillary Distribution by Abbas, Shabudin, Mohd Jamil Mohamed, Mokhtarudin, El-Bouri, Wahbi K., Payne, Stephen J., Wan Naimah, Wan Ab Naim, Nik Abdullah, Nik Mohamed

“…For elastic stiffness tensor, it can be concluded that this parameter does not significantly affected the macroscale equations of bigger brain. …”
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Compatible Pair Of Nontrivial Action For Finite Cyclic 2-Groups by Sahimel Azwal, Sulaiman, Mohd Sham, Mohamad, Yuhani, Yusof, Shahoodh, Mohammed Khalid

“…The nonabelian tensor product for a pair of groups is defined when the action act compatibly on each other. …”
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Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order by Sahimel Azwal, Sulaiman, Mohd Sham, Mohamad, Yuhani, Yusof

“…Compatible action played a very important verification before the nonabelian tensor product can be computed. This paper gives the some exact number of compatible pairs of actions for some cyclic groups of 2-power order. …”
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Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order by Mohd Sham, Mohamad, Sahimel Azwal, Sulaiman, Yuhani, Yusof, Shahoodh, Mohammed Khalid

“…The nonabelian tensor product is defined for a pair of groups which act on each other provided the actions satisfying the compatibility conditions. …”
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Compatible action graph for finite cyclic p-groups by Sahimel Azwal, Sulaiman, Mohd Sham, Mohamad, Yuhani, Yusof, Mohamad Khalid, Shahood

“…The compatible actions are important in determining the nonabelian tensor product of groups. In this paper, the finite cyclic groups of the p-power order, where p is an odd prime are considered. …”
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Fatigue Life Prediction Using Simplified Endurance Function Model by M., Kamal, M. M., Rahman, M. S. M., Sani

“…The endurance function model is based on stress tensor invariants and deviatoric stress invariants. …”
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Analysis of convolutional neural networks for facial expression recognition on GPU, TPU and CPU by Anbananthan Pillai, Munanday, Norazlianie, Sazali, Wan Sharuzi, Wan Harun, K., Kadirgama, Ahmad Shahir, Jamaludin

“…In light of the increasing computational capacity provided by Central Processing Units (CPUs), Graphics Processing Units (GPUs), and Tensor Processing Units (TPUs), all of these were designed to speed up deep learning workloads, and the fact that this iteration of human-computer interaction is becoming more natural and social, it is clear that the field of human-computer interaction is poised for significant growth. …”
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