CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship and Lecturer-ship COMMON SYLLABUS FOR PART ‘B’ AND ‘C’ MATHEMATICAL SCIENCES UNIT – 1 Analysis: Elementary set theory, finite, countable and uncountable sets, Real number system…

Vector Space- A set V is called vector space on which two operations are defined. 1- Vector Addition 2- Scalar Multiplication Further, vector addition must follow the following properties and laws for vector addition. 1-…

To understand random variable first you have to know about events. I will make you understand using examples. What are events? Example Tossing three coins on which one head turns up {HT,HH} A random variable…

Mutually Exclusive Events- Two or more events events are said to be mutually exclusive if only one can happen at a time. Example-1 In tossing a coin, event of tail up (T) and even of…

Linear Independence of Vectors Suppose α1, α2, α3, α4…………αn are vectors of V(F) where F is field. And there exist scalers a1, a2, a3, a4………..an which belong to field F. α1, α2, α3, α4…………αn vectors…

Ubuntu only provides an iso image of the operating system and you need to make a pen drive bootable to install ubuntu. I will show step-by-step how to make a pen drive bootable using USB…

Often students get confused what are differences between divide and conquer and dynamic programming. Since they solve problems in similar nature. Divide the problem into sub-problems combine them to get solution. Here I list the…

Mathematics is an essential part for machine learning without maths it is hard to get into core concepts. In addition, machine learning uses concepts from different branches, however, these branch of mathematics are the backbone…

For machine learning and data science projects data sets are necessary to train and test model. Furthermore, several datasets repository is available on the Internet. Some of them are freely available some need to pay…

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