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Scientific Secrets of Jainism
In additions and subtractions, too, zero has no value. If zero is added to or subtracted from any number, the original number remains quite unchanged. But in multiplications and divisions, the rules of zero are very strange. If zero is multiplied by any number or any number is multiplied by zero, the product is always zero. Similarly, If zero is multiplied by zero, the product is only zero.
The strangest fact about the operation of division is that if any number is divided by zero, the result is infinity but if zero is divided by any number, the result is zero. If any number is divided by itself, the result is one (1). What would be the result if zero is divided by zero? Zero, one or infinity? Mathematicians have not been able to answer this question. They show that the operation of dividing zero by zero is indeterminate.
Similarly, a number raised to degrees namely, square, cube, fourth degree, fifth degree etc. and similarity, reduced to roots namely square root, cube-root, fourth root, fifth root of zero, it is always zero. i.e. 0%, 0%, 04, O ............0 = 0 and 10.10.10,Vo....... Vo = 0. Any number raised to zero degree is always 1. e.g. 1o, 2o, 3o, 4o ...............a = 1
What would be the result if zero is raised to zero degree? Zero or one? This question has also remained unanswered by mathematicians and they say that zero raised to zero is indeterminate. Really speaking a' i.e. Zero degree of any number means any number is divided by itself and that is why the result is always 1 and oo is indeterminate and all mathematicians accept this result.
There is a strange fact about zero, with the help of which any two unequal numbers can be proved to be equal. e.g. 3x0 = 0 and 5x0 = 0 3x0 = 5x0 .......... (1)
or 3/5 = 0/0 ............(11) But it is a strange fact that we can also deduce that 0/0 = 5/3 .......... (III) From II and ill we obtain 3/5= 5/3 i.e. 9=25 If 0/0=1, from II and III, we can deduce that 3/5 =1 and 5/3 =1,
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