M.Phil / MS

Permanent URI for this collectionhttps://repository.cuilahore.edu.pk/handle/123456789/52

This collection archives the complete set of theses produced by students of the COMSATS University Islamabad, Lahore Campus.

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Author: search.filters.author.Dr. Adeel FarooqSubject: search.filters.subject.Department of Mathematics

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Now showing 1 - 10 of 10
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    Analysing Security of Pseudorandom Sequences under Computational Constraints
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Amna Nazir; CIIT/SP20-RMT-037/LHR; Dr. Adeel Farooq; LHR TP 7657
    In this thesis, we evaluated Pseudo Random Number Generators (PRNGs) on the basis of a test called Next Bit Test (NBT). To see if a PRNG is suitable for specific purpose, we tested it to see the results. On testing various PRNGs, we got different results that are being discussed in detail. On the basis of our analysis on different PRNGs, we recommend the Logged Fibonacci generator extended to the subtract and borrow generator that holds the properties of NBT and is acceptable to be used in cryptography.
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    Words for generators of some subgroups of the Baby Monster group
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Hafiz Sami Ullah; CIIT/FA19-RMT-110/LHR; Dr. Adeel Farooq; LHR TP 7620
    In this thesis we have computed the generators for some subgroups of the Baby monster group B[1], which is the second largest group in sporadic simple groups. Here we have S10 < S8(2) < Fi23 < B. To compute the generators for the subgroups of Baby Monster group we have used two softwares namely GAP and MeatAxe. Also we have computed the coxeter generators[2] satisfying coxeter relations for Y311, Y221, Y321, Y421, Y331, Y431, Y222, Y322, Y422, Y332 and Y432. Finally, we have expressed all the coxeter generators in terms of generators of Fi23 inside the Baby Monster monster group B.
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    The Fuzzy N-Leibniz Algebras
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Anjum Ali Sher; SP19-RMT-026; Dr. Adeel Farooq; LHR TP 7347
    In this thesis we have shown that, 1. The (m + 1)-Leibniz algebras are expressible in the form of m-magma. 2. The homomorphic pre-image of a fuzzy ideal of a m-Leibniz algebra is a fuzzy ideal. 3. If S a fuzzy subset of a m-Leibniz algebra A then, (i) S is either a fuzzy subalgebra or a fuzzy ideal of A, (ii) Every nonempty t-level subset U(s, t) is also a fuzzy subalgebra or ideal of A. 4. Homomorphic image of the fuzzy ideal of a m-Leibniz algebra having the supre- mum property is also a fuzzy Leibniz ideal. 5. If A is a m-Leibniz algebra then the maximal normal fuzzy subalgebra of A is a Boolean algebra.
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    Comparison of Machine Learning Based Prediction Techniques for Diagnosis of chronic Kidney Diseases
    (Library Information Services COMSATS University Lahore Campus, 2024-03-14) Amina Yasin; FA22-RMT-026; Dr. Adeel Farooq; LHR TP 9352
    Comparison of Machine Learning Based Prediction Techniques for Diagnosis of chronic Kidney Diseases
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    Integration of Machine Learing Algorithms for Early Detection and Diagnosis of Brain Turnor
    (2023-03-13) Muhammad Salman Azeem; FA22-RMT-002; Dr. Adeel Farooq; LHR TP 9365
    Integration of Machine Learing Algorithms for Early Detection and Diagnosis of Brain Turnor
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    Neural Network Based Classifier for Some Permutation Groups
    (Library Information Services COMSATS University Lahore Campus, 2023-03-13) Fiaz Ahmad; SP22-RMT-029; Dr. Adeel Farooq; LHR TP 8732
    This thesis explores the membership problem within the Symmetric group, specifi cally focusing on determining whether a randomly generated permutation in Symmetric group Sn is a member of Sn . For computational convenience, the study centers on the case where n=5, employing a Neural Network implemented in the Python programming language. Initially, a single perceptron with one neuron was developed. After multiple itera tions of the neural network, accuracy levels ranging from 60% to 85% were achieved. Subsequently, the investigation advanced to a multi-layered neural network. Utilizing this sophisticated architecture, the model was trained to identify the nature of specific permutations, distinguishing between even or odd permutations and determining their membership in S5 . The desired accuracy levels were successfully reached by varying the amounts of data used in the training process.
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    Locating some Subgroups of the Baby Monster Group
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2022) Abdul Sattar; FA19-RMT-029; LHR TP 7907; Dr. Adeel Farooq
    In this thesis, we have computed the generators for some subgroup of Y-Groups. These are the subgroups of the bimonster group whose generators satisfy the coxeter relations. It can be presented by Y-diagrams whose nodes represent the generators and satisfy the coxeter relations. We have computed the coxeter generators satisfying coxeter relations for Y111, Y211, Y411, Y421 and Y441. The generators of Y-group have been determined by computing successive centralizers. We have also surveyed some maximal subgroups of the Baby Monster Group.
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    Certain Results on m-polar Fuzzy Groups
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2020) Musawwar Hussain; FA18-RMT-015; LHR TP 6455; Dr. Adeel Farooq
    In this thesis we have developed some fundamental results from group theory to fuzzy and m-polar fuzzy groups. We have defined some basic characteristics of fuzzy groups and have provided the m-polar fuzzy analogues of fuzzy subsets, groups, level sets, and cosets. We have investigated an equivalence relation to distinguish whether a m-polar fuzzy subgroup of a group G is equivalent to any other m-polar fuzzy subgroup of that same group G, or not. We determined the maximal chains and a general formula for quaternion and dihedral groups to give the cardinality of their fuzzy and m-polar fuzzy subgroups. We intro duced aninequality which gives quantitative relationship between maximal chains, level subgroups and fuzzy subgroups. Moreover, we mainly constructed the m-polar fuzzy analogues of isomorphism theorems and butterfly lemma.
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    On the Structure of Unitary Units of F3mC9 and F3m(C3 ×C3)
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2019) NAJAM UL ABBAS; CIIT/FA17-RMT-038/LHR; Dr. Adeel Farooq; LHR TP 5663
    In this thesis, we have constructed the group ring matrix of group algebras F3mC9 and F3m(C3 ×C3). We have found center of group algebras F3mC9 and F3m(C3 ×C3). On the basis of group ring matrix, the center of unitary unit group have been established and then order of unitary unit group has been computed. We have also studied the above group algebras for m = 1 computationally using the GAP package LAGUNA. The orders of normalized unit groups, unitary unitary group and unit group has been computed. Moreover, Augmented Ideals of the above group algebras has been studied and we have provided their basis.
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    Analysis of Certain Maximal Subgroups in the Monster
    (Library Information Services COMSATS University Islamabad Lahore Campus, 2025) Samra Akram (FA23-RMT-036); Dr. Adeel Farooq; LHR TP 9782
    The Conjugacy Class Fusions of maximal subgroups 112 : (5×2·A5), (PSL2(11)×PSL2(11)) : 4,72 : SL2(7),PSL2(19) : 2, and PSL2(13) : 2 of the Monster group are thoroughly examined in this thesis, which builds upon the seminal work of Heiko Dietrich, Melissa Lee, and Tomasz Popiel. We’ve provided fresh perspectives on the subgroup structure and fusion patterns of M by examining and analyzing their findings. ix
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