## 15 DecIntroduction to fractional derivatives

Brief introduction:- In mathematical study, research and development means the extension of previous mathematical methods and definitions. For instance extension of real numbers to complex numbers, extension of factorials to gamma functions etc. Fractional calculus is the field of mathematics which deals with the study of integrals...

Augusta Ada King, Countess of Lovelace (10 December 1815 – 27 November 1852), born Augusta Ada Byron and now commonly known as Ada Lovelace, was an English mathematician and writer chiefly known for her work on Charles Babbage's early mechanical general-purpose computer, the Analytical Engine....

## 07 DecA score and a dozen : A collection of math problems

We present a problem collection with solutions for mathematical Olympiads, specially the Regional Mathematical Olympiad (RMO) and the Indian National Matjhematical Olympiad (INMO). The problems have been compiled by Bishal Deb from Salt Brook Academy, Dibrugarh. The set can be downloaded in pdf format here. [ad#ad-2]...

## 28 NovThe number of functions

1) A={a, b, c, d, e} and B={x, y, z}. Then the number of surjections that can be defined from the set A to the set B is (সংহতি A = {a, b, c, d, e} ৰ পৰা সংহতি B = {x, y, z} লৈ পাব...

## 28 NovWhat number should come next

“ANY number can be the next term in the usually given set of terms. [...

## 27 NovThe Kavli Prize

The Kavli Prize is one of the highly respected prizes in science in the 21st century. It recognises scientists for their seminal advances in three research areas: Astrophysics, nanoscience and neuroscience. Consisting of a scroll, a gold medal and a cash award of 1 million...

## 09 NovThe Vocabulary of Mathematical Analysis

1. Introduction The English word “vocabulary” refers to the “list of words” used in communicating one’s thought (or knowledge) to the others, and the English word “analysis” refers to the “resolution into simple elements”. Hence, according to the English dictionary, the “vocabulary of analysis” should refer...

## 09 Nov15 questions on Real Analysis for NET and GATE aspirants

Find the correct option: 1. Let $$f:[2,4]\rightarrow R$$ be a continuous function such that $$f(2)=3$$ and $$f(4)=6.$$ The most we can say about the set $$f([2,4])$$ is that   A. It is a set which contains [3,6]. B. It is a closed interval. C. It is a set which contains 3 and 6. D....