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Khuram Ali Khan
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ip Pečarić, Popoviciu type inequalities via Green function and generalized Montgomery identity, Mathematical... .com/18-118/Popoviciu-type-inequalities-via-Green-function-and-generalized-Montgomery-identity|Link]]) - L... ip Pečarić, Popoviciu type inequalities via Green function and Taylor polynomial, Turk. J. Math, (2016) 40(2... Integral form of Popoviciu inequality for convex function, Proceedings of the Pakistan Academy of Sciences,
Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
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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 to one and onto is called bijective function. * **Inje
Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib @fsc-part1-ptb
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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
Special Functions by Dr. Muhey-U-Din @notes
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|853 kB | ====Contents & Summary==== * Gamma Function * Some Properties of Gamma Function * Beta Function * Duplication Formula * Hypergeometric Function * Historical Background of Hypergeometric Function
Atiq ur Rehman, PhD
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ties of Gruss type via generalized Mittag-Leffler function, International Journal of Analysis and Applicatio... Farid, Vishnu Narayan Mishra, Generalized convex function and associated Petrovic’s inequality, Internation... ctions via an extended generalized Mittag-Leffler function, Journal of Mathematical and Computational Scienc... ctions via an extended generalized Mittag-Leffler function, Journal of Inequalities and Applications, 2018 A
Definitions: FSc Part1 KPK @fsc-part1-kpk
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measure of the angle, gives the same value of the function. * **Circular system (Radians):** A radian is ... $16^\circ 13' 9''$ * **Period of Trigonometric Function:** The smallest +ve number which when added to th... ular measurement of the angle gives same value of function is called period. \\ e.g. $sin(\alpha+2\pi)=sin\a... he equation, containing at least one trigonometry function are called Trigonometry equation. \\ e.g. $sin x=
Definitions: FSc Part1 KPK @math-11-kpk
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measure of the angle, gives the same value of the function. * **Circular system (Radians):** A radian is ... $16^\circ 13' 9''$ * **Period of Trigonometric Function:** The smallest +ve number which when added to th... ular measurement of the angle gives same value of function is called period. \\ e.g. $sin(\alpha+2\pi)=sin\a... he equation, containing at least one trigonometry function are called Trigonometry equation. \\ e.g. $sin x=
MathCraft: PDF to LaTeX file: Sample-01 @mathcraft
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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)+
Question 1, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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==== Question 1(i) ===== Write as a trigonometric function of a single angle. $\sin {{37}^{\circ }}\cos {{22... === Question 1(ii)===== Write as a trigonometric function of a single angle. $\cos {{83}^{\circ }}\cos {{53... == Question 1(iii)===== Write as a trigonometric function of a single angle. $\cos {{19}^{\circ }}\cos {{5}... === Question 1(iv)===== Write as a trigonometric function of a single angle. $\sin {{40}^{\circ }}\cos {{15
Question 1, Exercise 10.1 @math-11-kpk:sol:unit10
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==== Question 1(i) ===== Write as a trigonometric function of a single angle. $\sin {{37}^{\circ }}\cos {{22... === Question 1(ii)===== Write as a trigonometric function of a single angle. $\cos {{83}^{\circ }}\cos {{53... == Question 1(iii)===== Write as a trigonometric function of a single angle. $\cos {{19}^{\circ }}\cos {{5}... === Question 1(iv)===== Write as a trigonometric function of a single angle. $\sin {{40}^{\circ }}\cos {{15
Partial Differential Equations by Muzammil Tanveer @notes
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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
FSc Part 1 (KPK Boards) @fsc
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eir domain and range. * sketch the graph of the function $y=x^n$ for different values of $x$. * sketch the graph of quadratic function. * predict function from their graph. * find the intersecting point of intersecting graphs of a linear ... , two linear functions and a linear and quadratic function. * solve graphically appropriate problems from
Theory of Optimization by Ma'am Iqra Razzaq @notes
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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
Number Theory: Handwritten Notes @notes
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<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 ====
Mathematics CUI: LaTeX Resources
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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
MTH103: Exploring Quantitative Skills @atiq
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MTH480: Introductory Quantum Mechanics @atiq
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MTH424: Convex Analysis (Spring 2024) @atiq
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Measure Theory by M Usman Hamid & Saima Akram @notes
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Operation Research by Sir Haidar Ali @notes
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Topology: Handwritten Notes @notes
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MathCraft: PDF to LaTeX file: Sample-02 @mathcraft
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Complex Analysis (Quick Review) @notes
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Fluid Dynamics I by Muhammad Usman Hamid @notes
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Fluid Mechanics by Ali Raza @notes
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Fluid Mechanics I by Dr Rao Muzamal Hussain @notes
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Functional Analysis by M Usman Hamid and Zeeshan Ahmad @notes
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General Topology by Raheel Ahmad @notes
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Multivariable Calculus by Sheikh Muhammad Saleem Shahzad @notes
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Number Theory Notes by Anwar Khan @notes
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Number Theory by Dr Muhammad Umer Shuaib @notes
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Operation Research: Handwritten Notes @notes
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