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- Chapter 02: Sets, Functions and Groups
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- 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
- ets, convex functions, Differential of the convex function. Developing ability to study the Hadamard-Hermite... ces ===== * http://en.wikipedia.org/wiki/Convex_function * http://mathworld.wolfram.com/ConvexFunction.h
- Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
- 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
- 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
- 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
- Multivariable Calculus by Sheikh Muhammad Saleem Shahzad @notes
- thematics </panel> ====What is in the notes?==== Function of several variables and Partial Differentiation,
- FSc Part 1 (KPK Boards) @fsc
- 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
- Fluid Mechanics by Ali Raza @notes
- c flow rate * Equation of continuity * Stream function * Flow along a curve * Bernoulli's equation <
- Fluid Dynamics I by Muhammad Usman Hamid @notes
- s of fluid motion:** conservation of mass, stream function for two dimensional incompressible flow, motion o
- Question 1, Exercise 10.1 @math-11-kpk:sol:unit10
- ==== 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
- Definitions: FSc Part1 KPK @math-11-kpk
- 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=
- MTH480: Introductory Quantum Mechanics @atiq
- $x(t)={{t}^{3}}+2\sin t$ represents some distance function at point t. - Find the velocity and accelera... train start its journey from zero to the velocity function $v(t)={{t}^{2}}+t{{e}^{t}}$. - Find the dist
- MTH103: Exploring Quantitative Skills @atiq
- ions, transformation of functions, absolute value function, inverse function, linear functions, polynomial functions, rational functions and applications related to f