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- MATH 103: Number Theory
- Notes of Number Theory by Umer Asghar
- Number Theory by Prof. Asghar Ali
- Number Theory by Prof. M. Tanveer
- Tests by Mobeen Munir
- 13th International Pure Mathematics Conference 2012, Islamabad (1-3 September, 2012)
- An Encounter of Algebra and Geometry, ASSMS, Lahore (19-22 November 2011)
- International Conference on Mathematics and Its Applications GCU Lahore, Pakistan (November 13-15, 2017)
- 2nd International Conference on Pure and Applied Mathematics UoS Sargodha (November 26-27, 2016)
- 3rd International Conference on Pure and Applied Mathematics UoS Sargodha (November 10-11, 2017)
- Second Conference on Mathematical Sciences (SCMS-2013), International Islamic University, Islamabad, Pakistan (1-2 November 2013)
- Winter Conference in Mathematics, LUMS Lahore (December 30-31, 2010)
- Mathematics Olympiad 2019 Sukkur IBA (11-13 November 2019)
- 1st SIBAU-NU International Workshop on Matrix Analysis and Linear Algebra (15-17 October 2021)
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Fulltext results:
- PPSC Paper 2021 (Lecturer in Mathematics) @ppsc
- (6\) - $8$ - $10$ - Let \(X\) and \(Y\) be Banach spaces. Then the product space \(X\times Y... - Let \(f(x)=[x],\) greatest integer \(\leq x;\) be integrable function on \([0,4]\), then \(\display... _{xx}=f_{xy}=f_{yy}=0\), the point \((x,y)\) will be multiple point of order: \\ - Lower than two ... q 7\) - None of these - Let \(A\) and \(B\) be two non-square matrices such that \(AB=A\) and \(
- PPSC Paper 2011 (Lecturer in Mathematics) @ppsc
- - Natural number - None of these - Let $G$ be a cyclic group of order $24$ generated by $a$ the... ectors $v_1,v_2,v_3,....,v_r$ in $R^n$ is said to be ------ if the vector equation $x_1v_1+x_2v_2+....... ------ \\ - is normal subgroup - may not be normal subgroup - is cyclic subgroup - is... - None of these - Let $T:U\longrightarrow V$ be a linear transformation from an $n$ dimensional v
- Formatting Syntax @wiki
- up language, which tries to make the datafiles to be as readable as possible. This page contains all p... ly create links by default, but this behavior can be enabled in the [[doku>config]] file. Hint: If Dok... "local zone"). * For Mozilla and Firefox it can be enabled through different workaround mentioned in... zilla Knowledge Base]]. However, there will still be a JavaScript warning about trying to open a Windo
- Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
- ===== * **Rational number:** A number which can be written in the form of $\frac{p}{q}$, where $p,q ... **Irrational number:** A real number which cannot be written in the form of $\frac{p}{q}$, where $p,q... rring decimal is a rational number because it can be converted into common fraction. * **Non-termin... re numbers. * **Tabular method:** A set may be described by listing its elements within brackets
- MTH604: Fixed Point Theory and Applications (Spring 2020) @atiq
- ove Banach contraction principle. - Let $(X,d)$ be a complete metric space and $T:X\to X$ be a mapping such that for some integer $m$, $T^m=\underbrace ... - State extreme value theorem. - Let $(X,d)$ be a compact metric space and $T:X\to X$ be a contractive mapping. Then prove that $T$ has unique fixed
- Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib @fsc-part1-ptb
- ===== ====Rational Number==== A number which can be expressed in the form \( \dfrac{p}{q} \), where \... ==Irrational Number==== A real number that cannot be represented as a fraction of two integers is call... her terminates nor repeats. These decimals cannot be expressed as a fraction with integer numerator an... nd a vertical y-axis. Any point in this plane can be represented by an ordered pair \( (x, y) \), wher
- Real Analysis: Short Questions and MCQs @msc:mcqs_short_questions
- thor of this page is Dr. [[:atiq]]. The page will be updated periodically. </callout> ===== Short qu... e id="a3" collapsed="true">(D): Integers can only be even or odd but $2\pi$ is not an integer.</collap... se id="a6" collapsed="true">(C): Real numbers can be partitioned into rational and irrational. </colla... llapse> </panel><panel> 8. A set $A$ is said to be countable if there exists a function $f:A\to \mat
- Question 9 Exercise 6.3 @math-11-kpk:sol:unit06
- Question 9(i)===== An $8$-persons committee is to be formed from a group of $6$ women and $7$ men. In how many ways can the committee be chosen if (i) committee must contain four men and... Total number of different ways that four men to be selected are: ${ }^7 C_4$. Total number of different ways that four women to be selected are ${ }^6 C_4$. By fundamental princip
- MTH604: Fixed Point Theory and Applications (Fall 2022) @atiq
- ve Banach contraction principle. - Let $(X,d)$ be a metric space and $F:X\to X$ be a contration, then prove that $\{ F^n(x)\}$ is Cauchy sequence. - Let $(X,d)$ be a metric space and $F:X\to X$ be a contration, then prove that $\{d(F^m(x),F^n(x) \leq \frac{L^n}{1-L
- FSc Part 1 (KPK Boards) @fsc
- red as open educational resources. This page will be continuously updated. ^ Author: | Engr. Majid A... ves === After reading this unit the students will be able to: * know complex numbers, its conjugate... ves === After reading this unit the students will be able to: * know a matrix and its notations, or... ves === After reading this unit the students will be able to: * differentiate between scalar and vec
- Syllabus for UoS (Private only) @msc:syllabus
- nd few optional subjects has been dropped. Please be alert --- // 2017/08/25 17:05// </WRAP> ===== E... hree courses are compulsory and the students will be required to choose three more courses from the li... P center round update 90%> The paper pattern will be as following. (updated for year 2013 and onward) ... he answer book having two marks each - 80% will be subjective. One have to attempt "four questions o
- MTH321: Real Analysis I (Spring 2023) @atiq
- ox}} At the end of this course the students will be able to understand the basic set theoretic statem... }_{n}} \right\}$ and $\left\{ {{t}_{n}} \right\}$ be two convergent sequences such that $\underset{n\t... inuous, but the converse is not true. - Let $f$ be defined on $\left[ a,b \right]$ and it is differe... if ${f}'(x)$ exist, then ${f}'(x)=0$. - Let $f$ be continuous on $[a,b]$and differentiable on $(a,b
- Definitions: FSc Part 2 (Mathematics): PTB @fsc-part2-ptb
- of f. * **Constant Function:** Let $X$ and $Y$ be the set of real numbers. A function $C:X \rightar... $f$ is defined on an interval $[a,b]$ is said to be increasing function on $[a,b]$ if $f(x_1)>f(x_2)$... $f$ is defined on an interval $[a,b]$ is said to be decreasing function on $[a,b]$ if $f(x_1)<f(x_2)$... n equation in two variable $x$ and $y$ is said to be homogeneous equation if sum of exponents of $x$ a
- Examples for the Wrap Plugin @playground
- r **%%<div>%%**) creates a **''div''** and should be used for **"big"** containers, **surrounding** pa... **%%<span>%%**) creates a **''span''** and should be used for **"small"** containers, **inside** parag... | A **table** inside a column or box will always be **100% wide**. This makes positioning and sizing ... e space where only the floating containers should be ...</wrap> <WRAP clear></WRAP> ... to prevent t
- Question 7 and 8 Exercise 6.2 @math-11-kpk:sol:unit06
- stion 7(i)===== How many three digits numbers can be formed from the digits $1,2,3,4$ and 5 if repetit... hundred digit, ten digit and unit digit place) to be filled by five digits, Moreover repetition is a... tion 7(ii)===== How many three digits numbers can be formed from the digits $1,2,3,4$ and 5 if repetit... estion 8===== How many different arrangements can be formed of the word "equation" if all the vowels a
- 1st SIBAU-NU International Workshop on Matrix Analysis and Linear Algebra (15-17 October 2021) @events
- How to prepare admission test (A short guide) @papers:old_admission_test_of_assms_for_ph.d._mathematics
- 5th UMT International Conference on Pure and Applied Mathematics, Lahore (March 29th to 31st, 2019) @conferences
- International Conference on Computing and Mathematical Sciences, IBA Sukkur (February 25-26, 2017) @conferences
- 22nd International Pure Mathematics Conference on Algebra, Analysis and Geometry (23 to 25 August 2021) @events
- Chapter 10: Viewer @bsc:notes_of_mathematical_method:ch10_higher_order_linear_differential_equations
- View Online: BSc Mathematics (Old Papers) @papers:old_papers_for_bsc_mathematics:sargodha_university