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Functional Analysis by Prof Mumtaz Ahmad
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r algebra. It entails researching the connections between roles, things, incidents, actions, and outcomes. ... A collection of points with a concept of distance between them make up a metric space. A metric or distance... <grid> <col sm="6"> * Metric Space * Distance between two sets * Sequence * Convergent Sequence *
Special Theory of Relativity by M Usman Hamid and M Zeeshan Ahmad
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ry of relativity deals with relations which exist between physical quantities (such as mass of a particle, ... ntz Contraction * Time Dilation * Reciprocity Between Observers * Inverse Law Of Transformation Of Ve... vity Of Mass / Mass Dilation Problem * Interval Between Events * Timelike Intervals * Null Intervals
Affine and Euclidean Geometry by Shahzad Idress
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clidean Inner Product, Norm of a Vector, Distance Between Two Points, Cauchy-Schwarz Inequality, Angle Between Two Vectors. * The Laws of Cosine and Sines: The
Functional Analysis by M Usman Hamid and Zeeshan Ahmad
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ector spaces (mainly function space) and mappings between them. It deals with abstract spaces and different... paces:** linear spaces, normed spaces, difference between a metric and a normed space, Banach spaces, bound
Number Theory Notes by Anwar Khan
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heory examine the characteristics and connections between integers. "Higher arithmetic" and "the queen of m... e it examines the characteristics and connections between integers and arithmetic functions, number theory
Operation Research: Handwritten Notes
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48 * The two- phase method 49 * Differences between M-method and two-phase method 51 * Duality and sensitivity analysis 66 * Relationship between the optimal primal 73 * Solution of primal 75
Advanced Analysis: Handwritten Notes
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* Gamma Function * Beta Function * Relation between Gama and Beta Function * Bessel Function * D
Fluid Mechanics by Ali Raza
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ler's equations of motion * Steady laminar flow between two parallel plates * Generalized Couette flow
Fluid Mechanics II by Dr Rao Muzamal Hussain
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ille flow) * Couette-Poiseuille flow * Flow between two concentric rotating cylinders * Pressure d
Functional Analysis by Mr. Tahir Hussain Jaffery
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gebra. It requires looking into the relationships between various roles, objects, incidents, actions, and r
Groups (Handwritten Notes)
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ed group * Subgroup * Invalution * Relation between groups, homomorphism, monomorphism, epimorphism,
Group Theory by Mr. Muhammad Iftikhar
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ence relation * Lagrange's theorem * Relation between groups * Homomorphism * Cayley's theorem *
Measure Theory Handwritten Notes by Asim Marwat
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besgue Bounded Convergence Theorem * Comparison Between Lebesgue and Riemann Integral * Lebesgue Integr
Metric Spaces (Notes)
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xamples * Pseudometric and example * Distance between sets * Theorem: Let $(X,d)$ be a metric space.
Number Theory by Dr Muhammad Umer Shuaib
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other name for it. The study of the relationships between various types of numbers, including prime numbers