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MCQs with Answers (FSc/ICS Part 1) @fsc:fsc_part_1_mcqs
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-\omega, -\omega^2$ * (D) $1, -1, 2$ * The equation $ax^2+bx+c=0$ will be quadratic if * (A) $a=0... e formed by using a sign of '=' is a/an * (A) equation * (B) formula * (C) rational fraction ... on * (C) series * (D) permutation * The equation $ax^2+bx+c=0$ will be quadratic if * (A) $a=0
Important Questions: HSSC-I @fsc-part1-ptb
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[fsc-part1-ptb:important-questions:ch04-quadratic-equations ]] * [[fsc-part1-ptb:important-questions:ch05... portant-questions:ch14-solutions-of-trigonometric-equation ]] =====Short Term Preparation===== * **[[sho
MathCraft
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file===== We can provide you LaTeX source code of equations and table. ^ Example ^^ ^ Input file ^ Converte
Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
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function, because it is defined by second degree equation in * **Unary Operation:** A mathematical p... ank of the matrix. ===== Chapter 04: Quadratic equations ===== * **Quadratic Equation:** An equation of second degree polynomial in a certain variable is called Quadratic Equation. \\ e.g. $x^2
Mathematics CUI: LaTeX Resources
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er" ==== LaTeX Codes ==== * **To write inline equation** Use a $\$ $ (dollar) sign to write equation or symbols in between statements or sentences, e.g.\\ Let $I$... athbb{R}$ be a function</code> * **To write an equation** Use double dollar $(\$\$)$ to write dedicated equation, e.g.,\\ $$\sin^2 \theta + \cos^2 \theta =1$$ <cod
MathCraft: PDF/Image to Word: Sample 02 @mathcraft
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n the output Word file is as follows. It contains equation, which can be editable with MS Office built-in Equation editor. {{gview noreference>:mathcraft:sample-02.do
MathCraft: PDF/Image to Word: Sample 01 @mathcraft
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n the output Word file is as follows. It contains equation, which can be editable with MS Office built-in Equation editor. {{gview noreference>:mathcraft:sample-01.do
MathCraft: PDF to LaTeX file: Sample-02 @mathcraft
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ing both inequalities between $a$ and $b$ \begin{equation*} \int_{a}^{b} r(x) d x \leq \int_{a}^{b} f(x) d x \leq \int_{a}^{b} s(x) d x . \tag{1} \end{equation*} Now $$ \begin{aligned} \int_{a}^{b} r(x) d x &
MathCraft: PDF to LaTeX file: Sample-01 @mathcraft
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. for $r \leq u$ and $s \leq v$, we have \begin{equation*} E(x, y ; r, s) \leq E(x, y ; u, v) . \tag{1} \end{equation*} \vspace{2mm} In this paper, first we shall giv... then the following inequality is valid: \begin{equation*} \left(\dfrac{f\left(x_{2}\right)}{f\left(x_{1}\... ght)^{1 /\left(y_{2}-y_{1}\right)} . \tag{2} \end{equation*} Applying Lemma 2.1 for $f=\phi$, (let $r, s,
MTH480: Introductory Quantum Mechanics @atiq
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scillator. Schrodinger representation. Heisenberg equation of motion Schrodinger equation. Potential step, potential barrier, potential well. Orbital angular momentum
Atiq ur Rehman, PhD
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**Field of Research:** Difference and functional equations, Real functions, Inequalities in monotonic and c... functions. Computational Methods for Differential Equations, 8(1) (2020), 119-140. 47. Z. Chen, G. Farid, A... tions and related results, Advances in Difference Equations, 2020:163, (2020), 1-18. 46. L. N. Mishra, Q. U... ts in fractional calculus, Advanced in Difference Equations, 2019:152 (2019), 1-13. 44. G. Farid, A. U. Reh
Question 2 Exercise 4.3 @math-11-kpk:sol:unit04
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s & 4 n^2-11 n-225=0\end{align} This is quadratic equation with $a=4, b=-11$ and $c=-225$, then \begin{align
Question 11 Exercise 7.3 @math-11-kpk:sol:unit07
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{2^6}+\ldots$ Adding 1 to both sides of the above equation $$ S=y+1=1+\frac{1}{2^2}+\frac{1.3}{2 !} \cdot \f
Question 7 and 8 Exercise 7.3 @math-11-kpk:sol:unit07
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Solution: We are taking L.H.S of the above given equation and apply the binomial theorem $$ \begin{aligned}... rac{1}{4}=2-\frac{3 x^2}{16}$. From the above two equations, we get that $a \cdot b x^2=2-\frac{3 x^2}{16}$ ... taking numerator in the L.H.S of the above given equation ====Go To==== <text align="left"><btn type="
Question 14 Exercise 7.3 @math-11-kpk:sol:unit07
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g binomial theorem on the R.H.S of the above last equation, $$ \begin{aligned} & p x^p-q x^q \\ & =p(1+p h+\
Question 12 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 10 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 2 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 7 and 8 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 3 and 4 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 5 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 3 & 4 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 5 & 6 Review Exercise @math-11-kpk:sol:unit05
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Question 4 Review Exercise @math-11-kpk:sol:unit05
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Question 4 Exercise 5.4 @math-11-kpk:sol:unit05
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Question 2 & 3 Exercise 5.4 @math-11-kpk:sol:unit05
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Question 1 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 7 & 8 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 9 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 6 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 4 & 5 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 1 Exercise 5.1 @math-11-kpk:sol:unit05
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Unit 01: Complex Numbers (Solutions) @math-11-kpk:sol
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Mathematics 10 (Science Group) @matric
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Question 11 & 12 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 5 & 6 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 3 & 4, Exercise 3.2 @math-11-kpk:sol:unit03
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Notes of Mathematics
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FSc Part 1 (KPK Boards) @fsc
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Chapter 02: Groups @bsc:notes_of_mathematical_method
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Fluid Mechanics by Ali Raza @notes
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Fluid Dynamics I by Muhammad Usman Hamid @notes
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Elementary Linear Algebra by Muhammad Usman Hamid @notes
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Question 5 & 6, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 6, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 5, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 3 & 4, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 1, Exercise 1.3 @math-11-kpk:sol:unit01
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Multiple Choice Questions (MCQs) @math-11-kpk
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Definitions: FSc Part1 KPK @math-11-kpk
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MTH480: Introductory Quantum Mechanics @atiq
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Question 3 & 4, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 1, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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MTH103: Exploring Quantitative Skills @atiq
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Unit 1: Complex Numbers (Solutions) @fsc-part1-kpk:sol
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Question 6, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 5, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Khuram Ali Khan
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Fluid Mechanics II by Dr Rao Muzamal Hussain @notes
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Multiple Choice Questions (MCQs) @fsc-part1-kpk
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Definitions: FSc Part1 KPK @fsc-part1-kpk
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PPSC General Information, Syllabus, Paper Pattern
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Mechanics by Sir Nouman Siddique @notes
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Fuzzy Sets Theory by Umar Saeed Bunarai @notes
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Number Theory: Handwritten Notes @notes
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Complex Analysis by M Usman Hamid @notes
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Algebraic Number Theory Notes by Anwar Khan @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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Notes for Numerical Methods by M Usman Hamid @notes
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Numerical Analysis II @notes
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Partial Differential Equations by M Usman Hamid @notes
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Partial Differential Equations by Muzammil Tanveer @notes
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Mechanics I (Statics) by Dr Babar Ahmad @notes
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Differential Geometry (Notes) by Ms. Kaushef Salamat @notes
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Differential Geometry by Syed Hassan Waqas @notes
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Differential Geometry: Handwritten Notes @notes
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Special Functions by Dr. Muhey-U-Din @notes
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Theory of Optimization by Ma'am Iqra Razzaq @notes
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Notes of Mathematical Method @bsc
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MTH322: Real Analysis II (Spring 2023) @atiq
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Chapter 04: Quadratic Equations @fsc:fsc_part_1_solutions
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Unit 03: Integration @fsc:fsc_part_2_solutions
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Unit 01: Functions and Limits @fsc:fsc_part_2_solutions
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MATH-300: Basic Mathematics for Chemist @atiq
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Quotes for the May @quote-of-the-day
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Quotes for the April @quote-of-the-day
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Measure Theory by M Usman Hamid & Saima Akram @notes
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Mathematical Method by Sir Muhammad Awais Aun @notes
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Mathematical Method by Muhammad Usman Hamid @notes
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Functional Analysis by Mr. Tahir Hussain Jaffery @notes
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Functional Analysis by Prof Mumtaz Ahmad @notes
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Advanced Analysis: Handwritten Notes @notes
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Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
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Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
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Vector Spaces (Handwritten notes) @notes
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Rings & Modules by Ms. Iqra Liaqat @notes
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Mathematics 9 (Science Group) @matric
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PPSC Paper 2021 (Lecturer in Mathematics) @ppsc
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Groups (Handwritten Notes) @notes
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Number Theory by Prof. Asghar Ali @bsc
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PPSC Paper 2011 (Lecturer in Mathematics) @ppsc
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PPSC Paper 2015 (Lecturer in Mathematics) @ppsc
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Number Theory by Ms. Iqra Liaqat @msc:notes
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PPSC Mock Interview Lecturer Mathematics @ppsc
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Exercise 2.6 (Solutions) @matric:9th_science:unit_02
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Unit 03: Integration @fsc-part2-ptb:important-questions
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MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank
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Unit 06: Conic Section @fsc:fsc_part_2_solutions
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Unit 02: Differentiation @fsc:fsc_part_2_solutions
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What is Mathematics? @atiq:math-608
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Umer Asghar @people
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FSc Part 2 (KPK Boards) @fsc
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Its about square root @dyk
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Vector Analysis by Hameed Ullah: Notes @bsc
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Notes of Vector Analysis @bsc
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MTH604: Fixed Point Theory and Applications @atiq
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MTH231: Linear Algebra @atiq
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MATH-305: Real Analysis-I @atiq
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MTH604: Fixed Point Theory and Applications @atiq
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MATH 102: Calculus II @atiq
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CHEM-501: Basic Mathematics for Chemist @atiq
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Mathematics Conferences
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