Posts

Monotonic functional mapping

I have n functions f_i(x){i=1,...,n} which do not preserve the monotonic mapping order i.e. if x_1 < x_2, then in general, f_i(x_1) is not less than f_i(x_2) (for all i = 1,2,...n). So can I construct a function g mapping on fi's such that g(f1,f2,...fn) is monotonic? If yes, please elaborate on the method for the same. Even if g is a unimodal function, it should be fine. Put differently, for every value of x over an interval, I have the (n) outcomes of some physical process denoted by f_i (i = 1,2, ..., n). Now given such a set of f_i's corresponding to an unknown value of x (but known to lie within an interval), I have the task of estimating x. Since these f_i's are not monotonic in nature (no set pattern), I felt it would aid in this estimation task of mine if I could construct a monotonic function g using the f_i's. Please do convey your ideas.

Carpooling by google?

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I think one area where Google Plus can contribute is car pooling. Need less to say car pooling saves money, natural non-renewable resource, pollution, driving stress, traffic jams, parking problems and of course provides an opportunity to make new friends.

Psychoacoustics

A concise article about "How audio codecs work - Psychoacoustics" Link:  http://www.audiodesignline.com/showArticle.jhtml?articleID=175800470 Here are the links to detailed articles about "Psycoacoustics" presented in three parts.

Ship of Theseus - Movie Review

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'Ship of Theseus' (SOT) is an awesome movie that too coming from an unexpected place, the Indian film industry known for its 'run of the mill' inane and insipid movies. SOT is a movie about three different stories united by a single narrative. Each story exploring different aspects of human existence and karma. SOT starts by posing to the audience the titular thought experiment "Theseus' ship paradox". This is to do with the question of identity

Visual Search Problem

Visual perception accomplished in our brains is a fascinating process. There are many interesting features that one comes across. One of them is the visual search problem - the objective is to identify an odd image amidst a group of distractor images in the shortest time. Put differently, certain kind of symbols are more easily recognizable when placed amidst a group of similar looking symbols whilst others are not. For instance - symbol 'V' amidst symbol '^'s (inverted V) are very easy to spot. On the other hand, symbol 'S's are much more difficult to spot amidst symbol '2' (mirrored S). I could personally relate to this phenomenon while solving a 3x3 Sudoku in the shortest possible time.

Bird feeders

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Consider adopting bird feeders and nest boxes from Nature Forever Society.  http://www.shopping.natureforever.org/

Education and development of a nation

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Education can have a tremendous effect on the economic development of a country. Here is my plan to encourage students to pursue a higher education degree.  "Education is the most powerful weapon which you can use to change the world." - Nelson Mandela In evolving a plan to encourage students to pursue a higher education degree, I propose a multi-pronged approach with government, educational institutes and industry acting as key partners in this 'agenda for change'.