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- Special Functions by Dr. Muhey-U-Din
- |853 kB | ====Contents & Summary==== * Gamma Function * Some Properties of Gamma Function * Beta Function * Duplication Formula * Hypergeometric Function * Historical Background of Hypergeometric Function
- Advanced Analysis: Handwritten Notes
- retation of Equivalent Set * Duality * Choice Function * Characteristic Function * Cardinal Numbers * Arithmetic Cardinal Number * Transfinite Cardinal Nu... ial Equation * Hyper-geometric Series * Gamma Function * Beta Function * Relation between Gama and Beta Function * Bessel Function * Differential Recurre
- Measure Theory Notes by Anwar Khan
- annot be seen. In measure theory, a measure is a function that assigns a non-negative integer to subsets of a given set. Additionally, the function must meet a number of requirements, such as being... \sigma-$set * Set of extended real numbers; Set function; Properties of set function * Measure * Finite measure; $\sigma-$finite measure * Monotone convergen
- Mathematical Method by Sir Muhammad Awais Aun
- Many physical occurrences are characterised by a function whose value at one place relies on its value at another. Derivatives of the function, such as the first derivative, which indicates th... are included in the equation that determines this function. A differential equation is the name given to suc... or involves one or more derivatives of an unknown function. Differential equations can be divided into two c
- Advance Analysis by Ms. Iqra Liaqat
- m="6"> * Rational numbers * Proper subset * Function * One-one function, onto function * Equivalence set * Infinite set * Denumerable set * Countable set * Uncountable s... als * Zorn's lemma * Choice functions * Set function * Finitely additive set function * Pre-measur
- Handwritten Notes of Real Analysis by Asim Marwat
- Weierstrass theorem. * Chapter 02: Limit of the Function * Sequence, bounded sequence, Sandwhich theor... convergent, root test. * Chapter 03: Limit of a Function * Right hand limit, signum function, intermediate value theorem, fixed point, uniform continuity. *... y of Integration * Partition of domain of the function, upper sum, lower sum, refinement of a partition,
- Real Analysis Handwritten Notes by Kaushef Salamat
- ct * Norm * Dedekind's Property * Inclusion Function * Inverse Function * Metric * Open Cover * Compact Set * Open Cover * Separable Sets ... st * Limits (Limits of Functions) * Limits of Function at a Real Number * Sequential Criterion for Lim... ome Extensions of the Limit Concepts * Monotone Function * Continuous Functions * Composition of Conti
- Measure Theory Handwritten Notes by Asim Marwat
- Zermelo's Axiom, Almost Everywhere * Measurable Function * Limit Superior of a Sequence * Limit Inferi... Limit Superior, Limit Inferior * Characteristic Function, Simple Function * Lebesgue Integral of Simple Function * Tchebeshev's Inequality * Monotone Convergence Theorem *
- Mathematical Statistics by Ms. Iqra Liaqat
- ye's theorem * Random variable * Distribution function * Mean and variance of discrete random variable... l distribution * Moments * Moments generating function * Cumulants * Cumulants generating function (c.g.f) * c.g.f of binomial distribution * Hypergeometr... for Poisson probabilities * Moment generating function * Comulant generating function </col> <col sm
- Partial Differential Equations by Muzammil Tanveer
- or Fourier method * Some Eigen values and Eigen function * Solution of Non-Homogeneous Equation * Solu... * Canonical form of Elliptic equation * Gamma Function * Piecewise Continuous function * Laplace Transform * Linearity Property * First Shifting property ... urier Transform * Fourier Transform of Gaussian function * Contour Integration * Attenuation property
- Functional Analysis by Prof Mumtaz Ahmad
- , and outcomes. The word "functional" refers to a function whose argument is a function and stems from the calculus of variations. It can be used in many different ar... them make up a metric space. A metric or distance function is used to calculate the distance. Numerous eleme... triangle inequality is satisfied by the distance function, which is symmetric and nonnegative. For other co
- Theory of Optimization by Ma'am Iqra Razzaq
- nvolving the minimizing or maximization of a real function. It covers a wide range of minimization and optim... n parameters that have an impact on the objective function must typically be defined along with an objective function that has to be maximized or minimized. ^ Name |... Types of Optimization * Constraints * Convex Function * Convex Optimization Problem * Matrix form o
- Mathematical Statistics II by Sir Haidar Ali
- * Unbiasedness * Normal Distribution Density function * Efficiency * Consistency * Criteria for C... od of maximum likelihood estimator * Likelihood function * Maximum likelihood Estimator * Normal Distribution * Moment Generating function (m.g.f) * Properties of Normal Distribution *
- Number Theory: Handwritten Notes
- <col sm="6"> * Mersenne Numbers * Arithmetic Function * Perfect Numbers * The Bracket Function * The Mobius Function * The Mobius Inverse Formula </col></grid> ==== Download or View online ====
- Functional Analysis by Mr. Tahir Hussain Jaffery
- s from the calculus of variations and describes a function whose argument is a function. Numerous disciplines, such as approximation theory, calculus of variations, n