Articles by Bindeshwar Singh Kushwaha

CSIR-NET Syllabus for Mathematical Sciences

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 Spaces and Linear Transformation

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-…

Random variables and Probability Distribution Functions

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 and Independent Events

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 Dependence and Independence of Vectors

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…

Create Bootable Pendrive and Install Ubuntu

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…

Divide and Conquer and Dynamic Programming Algorithms

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 for Machine Learning

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…

Datasets for Machine Learning

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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