The real show began today.....We, members of the HPC group had our first encounter with a core topic. DISCRETE MATH. A term that has so much facts hidden behind and so much applications all around.Till now i had been studying maths as it was there in the syllabus.I have infact always wondered on where actually i'm going to apply all that i study in my maths classes. But it was truly amazing to know that mathematics is the core of all natural phenomenon!!!!! I was waiting for something that could really interest me when sir came up with the first topic for the day.
Continuous and discrete............ two simple words, but they can take us long way.When there is a value at all instances of consideration it is said to be a continuous function.But it is difficult to model a continuous system.Hence we go for a discrete system.In this we choose samples to represent the conditions.According to the discrete system we can represent the states as binary.The number of bits to be used to represent a data is the limitation of a binary system.For eg: with 6 bits we can only represent 64 different data.
Closely associated with discrete system is the propositional logic.I would like to refer it as a game with 0's and 1's.Sir refered to the logic operators AND , OR, NOT when dealing with propositional logic. We made an attempt to solve a real life problem of making the water pumps fully automated.
Graph theory..........it was infact quite new to me.We came across the travelling salesman problem and the towers of hanoi .It was truely surprising to know that travelling salesman problem is not solved even today when we are said to be at the peak of advancements.Quite interesting facts right???? For a higher order polynomial it is the highest degree variable that contributes the major share of the result.This way to represent a polynomial by neglecting the lower order terms is said to be asymptotic notation.Complexity refers to the number of steps taken to complete a particular task.For instance the algorithm to add 2 matrices has a complexity of n^2.To achieve maximum efficiency the complexity has to be minimized.
GOOGLE!!!!!!!!!!!!!!!.I cannot stop myself from expressing the magic behind this word. The entire world in just a mouse click!!!!!!!.Sir opened the mysteries(as i would like to call it) hidden within Google Google maps, Google analystics,Google mail services and what not????????????.I couldn't believe my eyes when sir told us that there is some sort of a bond developed between him and the GOOGLE.
Strange to believe but that actually happens with year long use.
Human Body is the most incredible machine in this world, a fact that many of us may hesitate to believe.For those who do not believe i request you to watch a video "THE ULTIMATE GUIDE TO HUMAN BODY" telecasted by the discovery channel.It's truly phenomenal......
Continuous and discrete............ two simple words, but they can take us long way.When there is a value at all instances of consideration it is said to be a continuous function.But it is difficult to model a continuous system.Hence we go for a discrete system.In this we choose samples to represent the conditions.According to the discrete system we can represent the states as binary.The number of bits to be used to represent a data is the limitation of a binary system.For eg: with 6 bits we can only represent 64 different data.
Closely associated with discrete system is the propositional logic.I would like to refer it as a game with 0's and 1's.Sir refered to the logic operators AND , OR, NOT when dealing with propositional logic. We made an attempt to solve a real life problem of making the water pumps fully automated.
Graph theory..........it was infact quite new to me.We came across the travelling salesman problem and the towers of hanoi .It was truely surprising to know that travelling salesman problem is not solved even today when we are said to be at the peak of advancements.Quite interesting facts right???? For a higher order polynomial it is the highest degree variable that contributes the major share of the result.This way to represent a polynomial by neglecting the lower order terms is said to be asymptotic notation.Complexity refers to the number of steps taken to complete a particular task.For instance the algorithm to add 2 matrices has a complexity of n^2.To achieve maximum efficiency the complexity has to be minimized.
GOOGLE!!!!!!!!!!!!!!!.I cannot stop myself from expressing the magic behind this word. The entire world in just a mouse click!!!!!!!.Sir opened the mysteries(as i would like to call it) hidden within Google Google maps, Google analystics,Google mail services and what not????????????.I couldn't believe my eyes when sir told us that there is some sort of a bond developed between him and the GOOGLE.
Strange to believe but that actually happens with year long use.
Human Body is the most incredible machine in this world, a fact that many of us may hesitate to believe.For those who do not believe i request you to watch a video "THE ULTIMATE GUIDE TO HUMAN BODY" telecasted by the discovery channel.It's truly phenomenal......
No comments:
Post a Comment