24-09-2014, 11:12 AM
MATHS SEMINAR PROJECTUP AND DOWN THEOREM.
DOWN THEOREM.pptx (Size: 171.38 KB / Downloads: 11)
INTRODUCTION
Math is a subject of wonder. Analyzing a number mystery consists of word games, mental puzzles, monstrous theorems,etc.
This up and down theorem was discovered by scientist KAPREKER.It mainly consists of repeated rearrangement & subtraction of digits in a number.
It is very simple, logical and just like playing jumbles with the numbers. but remember-9*N;495 and 6174.
THE MECHANISM OF UP AND DOWN THEOREM
The mechanism is very simple. Only a function is defined by S->S. It means repeatedly subtracting the digits of a number within itself(descending order-ascending order).This is repeatedly done until we get an iteration.
If we start with a number a then it goes on like this b=f(a) c=f(b) d=f© and so on
APPLICATIONS OF THIS THEOREM.
Such theories have logical applications.
In case of questions for competitive exams knowledge of number mystery is very important. Highly logical questions come in exams like IAS,OAS,BANK PO,ETC.
In case of creating username in sites minimum 6 characters are needed because 6 digits start to give 3 variations as said before.
CONCLUSION
IN CONCLUDING THE PROJECT WE WANT TO STATE THAT SOMETIMES BRAIN STORMING IS NEEDED FOR BOOSTING UP THE MEMORY LEVEL.THIS IS A VERY GOOD EXAMPLE.
MOREOVER THERE ARE MANY SUCH NUMBER MYSTERIES WHICH CAN BE ANALYZED AND SOLVED.THAT’S FOR A NEXT MEETING.
Thanks for listening patiently-ambika,asutosh,sarthak and abhisek