It’s back to that time again when we have the general feel of the festivities around the air, or something that we bengalees like to call ‘Pujo Pujo gondho‘ (aroma of the festivities in the air). Currently, as I sit to write this, we are celebrating Diwali, which usually marks the end of this period… Continue reading
4 years
It’s been a whooping 4 years since I wrote anything over here. 4 years gone in the blink of an eye. Countless things, memories, setbacks fill these years as I look back on things that I had scribbled right from 2012 days. Cool to think, and sometimes funny about the viewpoints that I held back… Continue reading
2020 and more
We’re again in a new year, and just like some of the previous years, where I have tried to maintain some of my resolutions that I believed can be fulfiled, my list for this year is full, and attempts have started to finish off some of the checklist of tasks that I have. For a… Continue reading
Week – 16 | Binomial Theorem – 3
1.1 Evaluating expressions by Differentiation Often, we would need to call up Calculus to compute Binomial Expressions and sums. We’ll represent as from here on. Let’s consider a small example: Ex -1: Show that Solution: If the positive integers appear as the product of Binomial coefficients, then that’s a hint that the problem may be… Continue reading
Week – 16 | Binomial Theorem – 2
1.1 Basics of the Binomial Theorem , where . This is what we call the Binomial Theorem, and holds for all reals . In the above theorem, if we put , we arrive at the following identity: . Combinatorially speaking, out of a set of elements, the total number of ways that a selection can be formed… Continue reading