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Important Questions: HSSC-I @fsc-part1-ptb
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di. * [[fsc-part1-ptb:important-questions:ch01-number-systems]] * [[fsc-part1-ptb:important-question
MathCraft
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] | ^ Price (only for PDF or Word to LaTeX) ^^ ^ Number of Pages ^ Price per Page ^ Launch Discount Price... ils]] | ^ Price (only for PDF to Word file) ^^ ^ Number of Pages ^ Price per Page ^ Launch Discount Price... xtbox "Your Name" email "Your E-Mail Address" @@ number "Cell No." yesno "May we contact you via Wha
DokuWiki @wiki
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ly useful in the enterprise context and the large number of [[doku>plugins]] contributed by its vibrant co
Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib @fsc-part1-ptb
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for his valuable contribution. =====Chapter 01: Number System===== ====Rational Number==== A number which can be expressed in the form \( \dfrac{p}{q} \), where \( p, q \in \mathbb{Z} \) and \( q \neq 0 \), is termed as a rational number. ===Example==== \( \dfrac{3}{4} \), \( \dfrac{7}{
Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
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ptb:definitions-aurang-zaib]] ===== Chapter 01: Number system ===== * **Rational number:** A number which can be written in the form of $\frac{p}{q}$, where $p,q \in \mathbb{Z}$, $q\neq 0$, is called a rational number * **Irrational number:** A real number which c
University of Sargodha, Sargodha (Old Papers) @papers:old_papers_for_msc_mathematics
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r=desc}} <HTML> </center> </HTML> ==== Option V: Number Theory ==== <HTML> <center> </HTML> {{filelist>files/msc/papers/Sargodha_University/Option_v_Number_Theory/*.*&style=table&direct=1&tableheader=1&tab
Mathematics CUI: LaTeX Resources
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^2 \theta =1 $$ </code> If you wish that equation number appear automatically to this equation, then write
Mathematician of the day
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fields in both mathematics and physics including number theory, analysis, differential geometry, geodesy,... s: //Mathematics is the queen of the sciences and number theory is the queen of mathematics.// Facebook p
Question 1 Exercise 4.3 @math-11-kpk:sol:unit04
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==== Find indicated term and sum of the indicated number of terms in arithmetic sequence: $9,7,5,3, \ldots... ==== Find indicated term and sum of the indicated number of terms in case of arithmetic sequence: $3, \dfr
Question 11 Exercise 4.2 @math-11-kpk:sol:unit04
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n=5400$, we have to find $n$, which represent the number of hours to reach at top. We know \begin{align}
Question 5 and 6 Exercise 4.2 @math-11-kpk:sol:unit04
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term. Each term of the sequence is $\log$ of some number. Each log contains $a$ but the power of $b$ in fi
Formatting Syntax @wiki
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d parameters: ^ Parameter ^ Description ^ | any number | will be used as maximum number items to show, defaults to 8 | | reverse | display the last items in
Question 3 and 4 Exercise 4.2 @math-11-kpk:sol:unit04
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}{3} \\ \implies &n=24+1=25.\end{align} Thus, the number of terms in given progression are $25$. GOOD ===
Question 7 & 8 Review Exercise 7 @math-11-kpk:sol:unit07
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Prove that $(1+x)^n \geq(1+n x)$, for all natural number $n$ where $x>-1$. - Solution: We try to prove thi
Question 2 Review Exercise 7 @math-11-kpk:sol:unit07
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, $b=3 y$ and $n=8$. Since $n=8$ is cven thus the number of terms are even and the middle term is $\frac{8
Question 1 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 5 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 11 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 5 & 6 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 7 & 8 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 3 & 4 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 1 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 10 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 8 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 5 and 6 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 3 and 4 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 7 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 6 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 5 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 2 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 1 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 7 and 8 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 5 and 6 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 13 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 12 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 10 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 11 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.2 @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 and 6 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 14 and 15 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 2 & 3 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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ADS/BSc
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Question 7 & 8 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 15 & 16 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 4 & 5 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 13 & 14 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 9 & 10 Exercise 4.3 @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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Question 3 & 4, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 5, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 4, Exercise 1.1 @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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Question 3 & 4, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 5, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 4, Exercise 1.1 @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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Khuram Ali Khan
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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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Metric Spaces (Notes) @notes
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Number Theory: Handwritten Notes @notes
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Topology: Handwritten Notes @notes
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General Topology by Azhar Hussain @notes
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Complex Analysis by M Usman Hamid @notes
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Complex Analysis (Quick Review) @notes
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Complex Analysis (Notes) by Ms. Iqra Liaqat @notes
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Computing Tools for Mathematics by Asif Arshad @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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MTH321: Real Analysis I (Spring 2023) @atiq
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Unit 01: Functions and Limits @fsc:fsc_part_2_solutions
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Chapter 01: Number System @fsc:fsc_part_1_solutions
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MATH-300: Basic Mathematics for Chemist @atiq
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MTH321: Real Analysis I (Fall 2022) @atiq
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Measure Theory Notes by Anwar Khan @notes
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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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Real Analysis Notes by Prof Syed Gul Shah @notes
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Handwritten Notes of Real Analysis by Asim Marwat @notes
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Advance Analysis by Ms. Iqra Liaqat @notes
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Advanced Analysis: Handwritten Notes @notes
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Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
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Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
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Mathematics 9 (Science Group) @matric
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Quotes for the February @quote-of-the-day
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Dr. Muhammad Ahsan Binyamin
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Real Analysis Handwritten Notes by Kaushef Salamat @notes
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MTH321: Real Analysis I (Fall 2021) @atiq
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PPSC Paper 2021 (Lecturer in Mathematics) @ppsc
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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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MTH322: Real Analysis II (Fall 2021) @atiq
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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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MCQs with Answers @fsc:fsc_part_1_mcqs
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Preparation Guide @msc:syllabus:uos
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Exercise 2.6 (Solutions) @matric:9th_science:unit_02
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Exercise 2.2 (Solutions) @matric:9th_science:unit_02
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Exercise 2.1 (Solutions) @matric:9th_science:unit_02
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Pure Mathematics @bsc:paper_pattern:sargodha_university
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Syllabus for PU @msc:syllabus
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Syllabus for UoS (Private only) @msc:syllabus
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Targets @msc:notes
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MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank
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MCQs: Ch 01 Number Systems @fsc-part1-ptb:mcq-bank
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MCQs or Short Questions @atiq:sp15-mth321
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Umer Asghar @people
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Muzammil Tanveer @people
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Short Term Preparation FSc 1 @fsc-part1-ptb
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Multiple Choice Questions (MCQs) @fsc-part1-ptb
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FSc Part 2 (KPK Boards) @fsc
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Its about square root @dyk
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What is the value of pi? @dyk
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Are the functions are same? @dyk
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Number Theory by Prof. M. Tanveer @bsc
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Notes of Number Theory by Umer Asghar @bsc
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MTH321: Real Analysis I (Spring 2020) @atiq
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MTH633: Advanced Convex Analysis (Spring 2019) @atiq
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MTH321: Real Analysis 1 (Spring 2015) @atiq
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MTH321: Real Analysis 1 @atiq
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MATH-505: Complex Analysis @atiq
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MATH-305: Real Analysis-I @atiq
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MATH-301: Complex Analysis @atiq
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MATH 103: Number Theory @atiq
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MTH321: Real Analysis I (Fall 2019) @atiq
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MTH321: Real Analysis I (Fall 2018) @atiq
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MTH321: Real Analysis I (Fall 2015) @atiq
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MTH321: Real Analysis 1 @atiq
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CHEM-501: Basic Mathematics for Chemist @atiq
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