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- Khuram Ali Khan
- y.org>\\ \\ **Field of Research:** Difference and functional equations, Real functions, Mathematical inequalities involving convex functions, Time Scales Calculus, Soft Sets </WRAP> <WRAP half ... Discrete Jensen's Inequality for Operator Convex Functions, J. Math. Comput. Sci., vol. 2 (2012), No. 3, 65
- Definitions: FSc Part 2 (Mathematics): PTB @fsc-part2-ptb
- ** for his valuable contribution. ===== Unit 01 (Functions and Limits) ===== * **Function:** A function is a rule or correspondence, relating to two sets in such a way that each element in the firs... e and only one element in the second set. Or \\ A function from //X// to //Y// is a rule that assigns to eac
- Unit 01: Functions and Limits @fsc:fsc_part_2_solutions
- ====== Unit 01: Functions and Limits ====== {{ :fsc:fsc_part_2_solutions:fsc-2-unit-01-ptb.jpg?nolink|Unit 01: Functions and Limits}} Notes (Solutions) of Unit 01: Functions and Limits, Calculus and Analytic Geometry, MATHEMATI... & summary ==== * Introduction * Concept of Function * Definition (Function-Domain-Range) * No
- Atiq ur Rehman, PhD
- tk.edu.pk> **Field of Research:** Difference and functional equations, Real functions, Inequalities in monotonic and convex functions * See profile at [[https://mathscinet.ams.org/mathscine... of Hadamard type for exponentially (s, m)-convex functions, AIMS Mathematics, 6(1) (2021), 882–892. 51. A.
- FSc Part 2 (KPK Boards) @fsc
- : | PDF Scanned (Handwritten) | ===== Unit 01: Functions and Limits ===== {{ :fsc:kpk_fsc_part_2:kpk-unit... e able to: * identify the domain and range of a functions through graphs. * draw the graph of modulus function and identify its domain and range. * recognize the composition of a function and then to find out the composition of two funct
- MTH322: Real Analysis II (Fall 2021) @atiq
- ]]. ===== Course Contents: ===== **Sequences of functions:** convergence, uniform convergence, uniform con... differentiation, the exponential and logarithmic function, the trigonometric functions. **Series of functions:** Absolute convergence, uniform convergence, Cauchy criterion, Weiestrass M-test,
- Special Functions by Dr. Muhey-U-Din @notes
- ====== Special Functions by Dr. Muhey-U-Din ====== These notes are provided and composed by Mr. [[:people:m... the lectures by Dr. Muhey-U-Din. {{ notes:special-functions-muzammil-tanveer.jpg?nolink|Special Functions}} ^ Name |Special Functions | ^ Provider |Mr. Muzammil Tanveer | ^Lectured by |Dr. Muhey-U-Din | ^ Pa
- MCQs: Ch 02 Sets, Functions and Groups @fsc-part1-ptb:mcq-bank
- ====== MCQs: Ch 02 Sets, Functions and Groups ====== High quality MCQs of Chapter 02 Sets, Functions and Groups of Text Book of Algebra and Trigonome... objects is called - Relation - Sets - Function - None of these - The objects in a set are ... \sim p \wedge \sim q$ - Every relation is - Function - Cartesian product - May or may not be f
- MTH424: Convex Analysis (Fall 2020) @atiq
- e concept of Convex Analysis, convex sets, convex functions, Differential of the convex function. Developing ability to study the Hadamard-Hermite inequalities and th... ir properties, Best approximation theorem. Convex functions, Basic definitions, properties, various generalizations, Differentiable convex functions, Hermite and Hadamard inequalities, Subgradient,
- Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
- by $|x+iy|$ or $|(x,y)|$. ===== Chapter 02: Functions and groups ===== * **Set:** A set is generally... w q)\wedge (p \vee q)$ is the contingency. * **Function:** Let $A$ and $B$ be two non-empty set sets. If\... $F$ have same 1st elements. Then $F$ is called a function from $A$ to $B$ and is written as $F:A \to B$ denoted by $y=f(x)$. * **Bijective function:** (1-1 and onto) A function f which is both one
- MTH322: Real Analysis II (Spring 2023) @atiq
- ]]. ===== Course Contents: ===== **Sequences of functions:** Convergence, uniform convergence, uniform con... differentiation, the exponential and logarithmic function, the trigonometric functions. **Series of functions:** Absolute convergence, uniform convergence, Cauchy criterion, Weiestrass M-test,
- Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib @fsc-part1-ptb
- of \( p \) and \( q \) and false for others. ====Function==== A function is a relation between two non-empty sets \( A \) and \( B \), where each element of set \( A... ( A = \{1, 2, 3\} \) and \( B = \{a, b, c\} \). A function \( f: A \rightarrow B \) could be defined as \( f(1) = a, f(2) = b, f(3) = c \). ====Bijective Function==== A bijective function is a function that is bo
- Are the functions are same? @dyk
- ====== Are the functions are same? ====== {{ :dyk:are_the_functions_are_same.jpg?direct |Are the functions are same?}} Consider two functions $f(x)=x+3$ and $\displaystyle g(x)=\frac{x^2-9}{x-3}$. Is $f=g$? ====
- Advanced Analysis: Handwritten Notes @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
- Mathematical Method by Sir Muhammad Awais Aun @notes
- dress issues in mathematics and science. Algebra, functions, relations and associated graphs, calculus, and ... 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
- Syllabus & Paper Pattern for General Mathematics (Split Program) @bsc:paper_pattern:punjab_university
- Chapter 12: Graph of Trigonometric and Inverse Trigonometric Functions and Solutions of Trigonometric Equations @fsc:kpk_fsc_part_1