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Notes from the Frontiers of Mathematics

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Category: Mathematics

Wavelet Analysis

September 13, 2012September 13, 2012 ~ Prateek Joshi ~ 3 Comments

Wavelets are actually a topic of pure mathematics. But over the last couple of decades, they have shown great promise and are now being adapted for a vast number of applications. They are used in image compression, molecular dynamics, seismology, physics, DNA analysis etc. One of the main advantages of wavelet analysis is the amount … Continue reading Wavelet Analysis

Interpretation of Gaussian Distribution

September 9, 2012September 9, 2012 ~ Prateek Joshi ~ 9 Comments

When we deal with large amount of data, we can't have specific rules for each and every instance. We have to come up with a model which defines the whole data. This model can then be used to analyze unknown inputs. More often than not, the data has some underlying pattern. When we think of a … Continue reading Interpretation of Gaussian Distribution

Fourier Analysis

September 5, 2012 ~ Prateek Joshi ~ 6 Comments

Most of the people in the tech field have already heard about Fourier analysis by now. Some of them love it, some of them hate it and the remaining few are just not sure what it is! Fourier analysis is one of the most fundamental tools in the field of engineering and technology. In fact, … Continue reading Fourier Analysis

Optimal Solution Concept

August 6, 2012August 14, 2012 ~ Prateek Joshi ~ 3 Comments

Do you remember Adam Smith? He is considered the father of modern economics. His theories were used for more than 150 years by governments, industries, banks etc. One of his famous laws states that people act in their own self-interest. He postulated that in a free market, you will have to compete to survive. He … Continue reading Optimal Solution Concept

Probabilistic Randomness Of Stochasticity

July 26, 2012July 10, 2014 ~ Prateek Joshi ~ Leave a comment

Do you see what I did with the title there? Anyway, you must have heard the term 'probability' being used around you. People use it in different contexts and in different forms - "What is the probability that Spain will win the next world cup?" or "I will probably finish reading the book by midnight" … Continue reading Probabilistic Randomness Of Stochasticity

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