![]() To make this clear let us generate the osculators for D = 23. Osculation consists of multiplying the last digit of a number by the osculator, Now, these can be obtained by repeatedly osculating by the 1 st osculator ( 7 in this example). The osculators for these – one more than the number before the 9s are: We can say that if D = 23 then P = 7, where P is called the osculator.įor the number 23, the multiples that end in 1, 2, 3 etc. The osculator is then 7: one more than the number before the 9. So in the case of D = 23 we multiply 23 by 3 to get 69. In Tirthaji’s osculation technique we begin by finding a multiple of D that ends in 9. #OSCULATOR MOJAVE SERIES#There will even be some which consists entirely of a series of 9s. In fact, for whole numbers, D, that end in 1, 3, 7 or 9 we can always get a multiple that ends in one 9, two 9s, three 9s, or indeed any number of 9s. How can we find these convenient multiples? Or, we can work 6 digits at a time, dividing by 4, if we know that 3999999 is a multiple of 23. In many of the applications we need to select a suitable osculator from the many that can be used.įor example, if we need to test if a certain number is divisible by 23, Tirthaji’s osculation technique allows us to work 2 figures at a time, while dividing by 3, if we know that 299 is a multiple of 23. #OSCULATOR MOJAVE HOW TO#The osculators are explained in Tirthaji’s book (chapters 29 and 30) and here we look at how to generate the osculators in sequence from the first one. Tirthaji’s osculation technique has many applications: in divisibility testing, converting fractions to decimals, multiplications, divisions, checking calculations, continued fractions, number bases, substituting etc. We will start taking registrations shortly. The next Teacher Training Course starts on 14 th March 2022 on the Math2Shine platform.įor details of this and the several other courses offered please see: You can contact Math2Shine at or to explore the opportunities to teach and spread Vedic Math globally.įor more insight into Math2Shine see: /. Math2Shine is also looking for tutors to translate Math2Shine into other languages. Vedic Math, School Math, and Abacus tutors would significantly benefit from the Math2Shine platform. Math2Shine is looking for a Tutors association.
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