1)   MATHS : THE INVISIBLE HAND BEHIND MUSIC.

    This paper is more of academic interest rather then being technical in its own right. It takes the foray into the latent relation between maths & music.

       Mathematics and music play very different roles in society. However, they are more closely related to each other than they are more commonly perceived to be.Behind the art of music lies an exact science, wherein a practical application of mathematics is found, in the form of series, progressions, arithmetic mean and so on.  This wonderful relationship between music and mathematics is as ancient as it defies understanding. It nevertheless makes for an interesting study. Many great mathematicians have also been great lovers of music.

      In the ancient period the Greeks had discovered serious relations between these two aspects.  Behind the art of music lies an exact science, wherein a practical application of mathematics is found, in the form of series, progressions, arithmetic mean and so on.   Many systems of tunings developed earlier but as days progressed OCTAVES become the most popular of them all which also supported the theory of consonance and dissonance. The theory of GOLDEN RATIO takes into account musical compositions. A music composer basically needs to deal with lots of mathematics, be it counting, patterns, sequences, ratio proportions, geometry, equivalent fractions, progressions etc. Mathematics may be freed from its utter serious implications when an emblem of music is applied to it. As far as mathematical simulation is concerned we can develop a set of rules to define a fact that MUSIC CAN ACT AS a DNA OF MATHEMATICAL FUNCTIONS, which can be implemented using a high level structured computer language such as “C”.This paper identifies such links and concludes with the insight that music often has some mathematical characteristics, and more importantly, that musical aspects can be found in mathematics as well.

This paper was presented by Rohan Jain (IT) & myself in INTELLECT2k3, organized at MANIPAL INSTITUTE OF TECHNOLOGY, MANIPAL under the IEEE banner.

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2)   ELECTRONIC SMELL

          The electronic smell system, a digitized representation of smell, consists of an electronic nose having two components: an array of chemical sensors & pattern recognition system using ANN. The sensors measure the change in the voltage due to the presence of certain chemicals. These chemicals in the air change the oxygen content over the sensor which in turn alters the resistance across the sensor and can be measured as a voltage drop from the normal conditions. This analog signal is digitized by the A/D converter. The output of the sensors is in the form of a recognizable visual image of specific vapor mixtures .The sensors constituting the array are selected for their chemical affinities and are typically based on the chemisorbing polymer films. The e-nose in its typical form uses gas chromatography .The pattern recognition uses soft computing techniques like genetic algorithm, fuzzy logic; cluster analysis etc.The applications include environmental monitoring, medical applications, food-industry applications and army applications.

This paper was presented by Niraj Kumar (CSE) & myself at INTERNATIONAL INSTITUTE OF INFORMATION TECHNOLOGY , HYDERABAD, in the techno fest FELICITY' 04 ,where we won the 3rd prize.

The same paper was presented by Moksh Walia (IT) & myself at DELHI COLLEGE OF ENGINEERING , NEW DELHI ,in the techno fest TROIKA 2004 ,under IEEE & IEE banner where we won the 2nd prize.

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