Beginning

بِسْمِ اللّٰہِ الرَّحْمٰنِ الرَّحِیْمِ

In the name of Allah, the most Gracious, the most Merciful 

اَللّٰهُمَّ صَلِّ عَلٰی مُحَمَّدٍ وَّعَلٰی اٰلِ مُحَمَّدٍ كَمَا صَلَّيْتَ عَلٰی اِبْرَاهِيْمَ وَعَلٰی اٰلِ اِبْرَاهِيْمَ اِنَّكَ حَمِيْدٌ مَّجِيْدٌ

اَللّٰهُمَّ بَارِكْ عَلٰى مُحَمَّدٍ وَّعَلٰی اٰلِ مُحَمَّدٍ كَمَا بَارَكْتَ عَلٰی اِبْرَاهِيْمَ وَعَلٰی اٰلِ اِبْرَاهِيْمَ اِنَّكَ حَمِيْدٌ مَّجِيْدٌ

O Allah, bestow Your favor on Muhammad and on the family of Muhammad as You have bestowed Your favor on Ibrahim and on the family of Ibrahim, You are Praiseworthy, Most Glorious.

O Allah, bless Muhammad and the family of Muhammad as You have blessed Ibrahim and the family of Ibrahim, You are Praiseworthy, Most Glorious.

Comments

Post a Comment

Popular posts from this blog

Introduction

Welcome to My Blog  I'm glad to have you on my blog. As you know, blogs are one of the best means to convey one's thoughts to the world and actively engage with people. So, I have created my blog to share my services. My Introduction My name is Muhammad Hammad. I am an online Mathematics teacher and a writer. In this blog, I am going to present mathematical ideas in a comprehensible way. Moreover, mathematical theorems and solutions related to mathematical problems will also be shared. I'm here to provide help and guidance to the students. If you like my mathematical explanations, you can contact me for online tuition services. Moreover, regarding posts on this blog, feel free to comment, I welcome you! Well-wisher, Muhammad Hammad 
Read more

Basic concepts of Mathematics

In this article, we explore some basic concepts which are used almost in every area of mathematics.  Axiom A self-evident statement which needs not to be proved and can be used as basis of the argument. Lemma A lemma is a minor theorem which needs to be proved in the process of proving a major theorem. Theorem  A theorem is a statement which can be shown true by logical deduction from definitions, axioms or already established theorems. Proof An argument or a finite sequence of established formulas or proved statements which lead to validate the theorem or the formula. Corollary  A theorem of less importance which can be readliy proved from the theorem.  Remark A statement which highlights the important features of a theorem or explore the connections between different mathematical concepts.
Read more

Prime number test

 We know that the prime numbers are the natural numbers greater than 1 and divisible by only 1 and the number itself. Any natural number greater than 1 which is divisible by more than two factors, that is a composite number. Today, we will know the way to test whether the given number is prime or not. Trial division  Trial division is the primality test. The idea is that: If a number n is to be checked whether it is a prime or not, we simply need to see if it is divisible by any prime number between 2 and √n, it is composite otherwise it is prime. For example, if  we take n=61. We need to check the prime numbers between 2 and √61. It means upto 7 because 7<√61<8.  These prime numbers are 3, 5, 7 and none of these divides 61. So 61 is prime. Why to check upto √n and not above? The simple answer to this question is that for any number greater than or equal to √n to be the divisor of n, there must be a divisor of n less than √n. We explain it by example: Let's con...
Read more