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- Important Questions: HSSC-II @fsc-part2-ptb
- * [[fsc-part2-ptb:important-questions:unit-01-functions-and-limits]] * [[fsc-part2-ptb:important-ques
- Important Questions: HSSC-I @fsc-part1-ptb
- s]] * [[fsc-part1-ptb:important-questions:ch02-functions-and-groups]] * [[fsc-part1-ptb:important-ques... -part1-ptb:important-questions:ch11-trigonometric-functions-and-their-graphs ]] * [[fsc-part1-ptb:importa... ptb:important-questions:ch13-inverse-trigonometry-functions]] * [[fsc-part1-ptb:important-questions:ch14-
- 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
- MTH424: Convex Analysis (Spring 2024) @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
- Mathematics CUI: LaTeX Resources
- rval in $\mathbb{R}$ and $f:I\to \mathbb{R}$ be a function <code latex>Let $I$ be an interval in $\mathbb{R}$ and $f:I\to \mathbb{R}$ be a function</code> * **To write an equation** Use double d
- MathCraft: PDF to LaTeX file: Sample-02 @mathcraft
- {Proof}: First of all, let's recall that a convex function on a open interval $(a, b)$ is continuous on $(a,
- MathCraft: PDF to LaTeX file: Sample-01 @mathcraft
- introduced these means. Stolarsky proved that the function $E(r, s)$ is increasing in both $r$ and $s$ i.e. ... q v$. \footnotetext{Key words and phrases. convex function, log-convex function, Stolarsky means. } \vspace{2mm} We consider the following function $f(x)=p^{2} \varphi_{r}(x)+2 p q \varphi_{t}(x)+
- 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.
- Topology and Functional Analysis Solved Paper by Noman Khalid @notes
- ====== Topology and Functional Analysis Solved Paper by Noman Khalid ====== These solved papers are written... e notes to publish on MathCity.org. Topology and Functional Analysis is considered as one the tough subject... f the Punjab (PU), Lahore. ^ Name |Topology and Functional Analysis Solved Papers | ^ Author |Noman Khali... con="fa fa-download"> * **{{ notes:topology-and-functional-analysis-solved-pu-a2011.pdf |Download PDF ~ 7.
- Mathematics 10 (Science Group) @matric
- .pdf |Download PDF}} NEW ===== Unit 05: Sets and Functions ===== These notes are send by Mr. [[:people:amir
- Mathematical Method by Khalid Latif Mir (Solutions) @msc:notes
- transforms preliminaries * Piecewise continuous functions * Definition and notation * Necessary and su
- Multivariable Calculus by Sheikh Muhammad Saleem Shahzad @notes
- thematics </panel> ====What is in the notes?==== Function of several variables and Partial Differentiation,... n’s and Stoke’s Theorem, Fourier Series: Periodic Functions, Functions of any period P-2L, Even and Odd Functions, Half Range Expansions, Fourier Transform: Laplace Transform, Z
- Notes of Mathematics
- examinations after MSc. </well> <well> **[[Notes:functional-analysis-m-usman-hamid-and-zeeshan-ahmad]]** \\... ring most of the topics. </well> <well> **[[notes:functional-analysis-by-tahir-hussain-jaffery]]** \\ Notes of functional analysis written by Tahir Hussain Jaffery of Pe... ar University, Peshawar. </well> <well> **[[Notes:Functional-Analysis-by-Prof-Mumtaz-Ahmad]]** \\ Notes of f
- FSc Part 1 (KPK Boards) @fsc
- orem|Online view]]** </callout> ===== Chapter 8: Functions and Graphs ===== === Objectives === After readin... le to * know linear, quadratic and square root functions. * define inverse functions and find their domain and range. * sketch the graph of the function $y=x^n$ for different values of $x$. * sketch t
- Syllabus & Paper Pattern for General Mathematics (Split Program) @bsc:paper_pattern:punjab_university
- Chapter 09: PDF Viewer @bsc:notes_of_calculus_with_analytic_geometry:ch09_functions_of_several_variables