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Fulltext results:
- 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
- efinitions-Muzzammil-Subhan]] NEW ===== 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
- Definitions: Mathematics 12: PTB by Muzzammil Subhan @fsc-part2-ptb
- is given below =====Sample===== * **Polynomial Function:** A function of the form $P(x)=a_0 x^0+a_1 x^1+a_2 x^2+\ldots . .+a_{n-1} x^{n-1}+a_n x^n$ is called polynomial function where $n \in W$ and $a_0, a_1, a_2, \ldots, a_n \in R$. * **Linear Function:** A function of the form $f(x)=a x+b$ where $a,
- 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
- 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