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- Elementary Linear Algebra by Muhammad Usman Hamid @notes
- ======Elementary Linear Algebra by Muhammad Usman Hamid====== {{ :notes:elementary-linear-algebra-m-usman-hamid.jpg?nolink|Elementary Linear Algebra by Muhammad Usman Hamid}} Linear Algebra is the study of vectors and linear transformations. The
- FSc Part 1 (KPK Boards) @fsc
- ex numbers. * know the solution of simultaneous linear equations with complex co-efficients. * write the polynomial $P(z)$ as product of linear factors. * solve quadratic equations in complex... atrix and rank of a matrix. * solve a system of linear equations of both homogeneous and non-homogeneous... this unit the students will be able to * know linear, quadratic and square root functions. * define
- Notes of Algebra @notes
- ell></col><col lg="4"><well> [[::Notes:elementary-linear-algebra-m-usman-hamid|{{::notes:elementary-linear-algebra-m-usman-hamid.jpg?350}}]] <caption> **[[::Notes:elementary-linear-algebra-m-usman-hamid]]** </caption> Linear Algebra is the study of vectors and linear transformations. B
- Operation Research by Sir Haidar Ali @notes
- ==Summary & contents==== <grid> <col sm="6"> * Linear programming * Linear function * Objective function * Optimal solution * General linear programming problem * Graphical solution of linear programming problem * Corner point * Infeasible
- Topology: Handwritten Notes @notes
- osed unit ball; Convex set * Vector space * Linear combination; Spanning set; Linearly independent ... ormal sets (definition); Parsevel's equality * Linear Operator; The Kernel or Null space of a linear operator; Continuous linear operator * Bounded linear operator * Norm of a bounded lienar operator
- Algebra II by Syed Sheraz Asghar @notes
- Subspace * Sum of Subspaces * Direct Sum * Linear Transformation or Homomorphism * Kernel of T or Kernel of Linear Transformation * Quotient Space * Linear Combination * Linearly Dependent * Linear Span * Basis * Dimension * Maximal L.I Set * Minima
- Functional Analysis by M Usman Hamid and Zeeshan Ahmad @notes
- atics and its applications. The impetus came from linear algebra, linear ordinary and partial differential equations, calculus of variations, approximation theory and, in particular, linear integral equations, whose theory had the greatest... and convergence, completion, **Normed Spaces:** linear spaces, normed spaces, difference between a metri
- Vector & Tensor Analysis by Dr Nawazish Ali (Solutions) @notes
- nt sizes | ====Contents & Summary===== * Curvilinear coordinates * Transformation of coordinates *... es and coordinate curves * Unit vectors in curvilinear coordinate system * Rectangular Cartesian coord... r-nawazish.pdf}} </modal> * **Chapter 6: Curvilinear Coordinates** | **{{ :notes:ch06-vector-and-tens... ="modal-ch6vtna" size="lg" title="Chapter 6: Curvilinear Coordinates: Vector and Tensor Analysis"> {{gview
- Question 2, Exercise 1.3 @fsc-part1-kpk:sol:unit01
- on 2(i)===== Factorize the polynomial $P(z)$ into linear factors. $$P\left( z \right)={{z}^{3}}+6z+20$$ ==... n 2(ii)===== Factorize the polynomial $P(z)$ into linear factors. $$P(z)=3z^2+7.$$ ====Solution==== \begi... Factorize the polynomial $P\left( z \right)$ into linear factors. $$P\left( z \right)={{z}^{2}}+4$$ ====S... n 2(iv)===== Factorize the polynomial $P(z)$ into linear factors. $$P(z)={{z}^{3}}-2{{z}^{2}}+z-2.$$ ====S
- Question 2, Exercise 1.3 @math-11-kpk:sol:unit01
- on 2(i)===== Factorize the polynomial $P(z)$ into linear factors. $$P\left( z \right)={{z}^{3}}+6z+20$$ ==... n 2(ii)===== Factorize the polynomial $P(z)$ into linear factors. $$P(z)=3z^2+7.$$ ====Solution==== \begi... Factorize the polynomial $P\left( z \right)$ into linear factors. $$P\left( z \right)={{z}^{2}}+4$$ ====S... n 2(iv)===== Factorize the polynomial $P(z)$ into linear factors. $$P(z)={{z}^{3}}-2{{z}^{2}}+z-2.$$ ====S
- Atiq ur Rehman, PhD
- ve convex via Caputo k-fractional derivatives, Nonlinear Analysis Forum 22(2) (2017), 17–28. 29. G. Farid... ive convex functions via fractional integrals, Nonlinear Anal. Forum 21(1) (2016), 77–86. 20. Ghulam Fari... amard inequalities for k-fractional integrals, Nonlinear Funct. Anal. Appl. 21(3) (2016), 463–478. 19. At
- Khuram Ali Khan
- erator Jensen's Inequality, Electronic Journal of Linear Algebra, Vol. 31, (2016) pp. 125-133, (March, 201... 2014. - RUQAYYA HAFEEZ, Global Behaviour of Non Linear Difference Equations; Department of Mathematics, ... - ISHRAT FATIMA, Jessen's Inequality for Isotonic Linear Functionals via Time Scales, Department of Mathem
- MTH103: Exploring Quantitative Skills @atiq
- ges will be discussed. Students will also explore linear models, including rectangular coordinates, functi... tions, absolute value function, inverse function, linear functions, polynomial functions, rational functio... related to functions. === Algebraic Models: === Linear equations, quadratic equations and their applicat
- MTH424: Convex Analysis (Spring 2024) @atiq
- ubgradient, Characterizations and applications in linear and nonlinear optimization. ====Quizzes and Assignments==== * Assignment 01 | {{ :atiq:sp24-mth424-a0... v=onepage&q&f=false|Google Book Preview]]) - Nonlinear Programming Theory and Algorithms, 3rd Edition, b
- Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
- Non Abelian group under Binary operation. * **Linear function:** The function $\{(x,y)|y=mx+c\}$ is called a linear function. Geometrical representation of linear function is a straight line. * **Quadratic function:**