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- Functional Analysis by Prof Mumtaz Ahmad
- 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
- 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
- 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
- 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
- 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
- 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
- * Gamma Function * Beta Function * Relation between Gama and Beta Function * Bessel Function * D
- Fluid Mechanics by Ali Raza
- ler's equations of motion * Steady laminar flow between two parallel plates * Generalized Couette flow
- Fluid Mechanics II by Dr Rao Muzamal Hussain
- ille flow) * Couette-Poiseuille flow * Flow between two concentric rotating cylinders * Pressure d
- Functional Analysis by Mr. Tahir Hussain Jaffery
- gebra. It requires looking into the relationships between various roles, objects, incidents, actions, and r
- Groups (Handwritten Notes) by Atiq ur Rehman
- ed group * Subgroup * Invalution * Relation between groups, homomorphism, monomorphism, epimorphism,
- Group Theory by Mr. Muhammad Iftikhar
- ence relation * Lagrange's theorem * Relation between groups * Homomorphism * Cayley's theorem *
- Measure Theory Handwritten Notes by Asim Marwat
- besgue Bounded Convergence Theorem * Comparison Between Lebesgue and Riemann Integral * Lebesgue Integr
- Metric Spaces (Notes)
- xamples * Pseudometric and example * Distance between sets * Theorem: Let $(X,d)$ be a metric space.
- Multivariable Calculus by M Usman Hamid and M Zeeshan Ahmad
- tical maturity. We also highlight the connections between multivariable calculus and other areas of mathema