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The newest analysis in Vedic Arithmetic means that there are sixteen Sutras which have been expanded upon by a further 13 sub-Sutras or corollaries.
A quick dialogue on every of those is so as.
The 16 Vedic Math Sutras
1. “Ekadhikena Purvena” (By yet one more than the earlier one)
The working of the Sutra is sort of easy. Within the case of the vulgar fraction 1/19 whose denominator ends with 9, within the regular methodology 18 steps are required. However with this Sutra it may be achieved in just one step. The precise calculations and steps are past the scope of this writing. That is simply to point out the benefit with which we will apply Vedic arithmetic to on a regular basis calculations in addition to for fixing advanced equations.
2. “Nikhilam Navatascaramam Dasatah” (All from 9 and the final from 10)
This can be a cryptic Sutra for multiplying numbers. Based on Vedic Math multiplication tables will not be required past the 5 multiplied by 5. It’s claimed that with this sutra multiplication turns into a Childs play.
3. “The Urdhva Tiryaghyam Sutra” (Vertically and crosswise multiplications)
That is one other brief Sutra for multiplication
4. “Paravartya Yojayet” (Transpose and apply)
This Sutra is used to resolve easy equations
5. “Sunyam Samyasamuccaye” i.e. If the Samuccaya is identical (on either side of the equation, then) that Samuccaya is (equal to) zero
This Sutra is used to resolve particular kind of equations. “Samuccaya” is a technical time period which has a number of meanings in numerous contexts. The truth is, a single phrase taking over totally different meanings is the beauty of Sanskrit textual content. On the similar time it is usually complicated and confounding to those that haven’t mastered the language. If checked out it from totally different angles, Sanskrit is a boon in addition to a bane. Misunderstanding and misinterpreting is sort of widespread amongst students. In as a lot because the scriptures are involved, the which means of phrases turns into all of the extra essential.
6. “(Anurupye) Sunyamanyat” (if one is in ratio the opposite one is zero)
There are some simultaneous equations which can contain giant numbers and should due to this fact appear onerous to resolve, however owing to sure ratios between the coefficients will be readily and simply solved utilizing this Sutra.
7. “Sankalana-vyavakalanabhyam”
8. “Puranapuranabhyam”
9. “Calana-kalanabhyam”
The above three Sutras are utilized in fixing various kinds of quadratic equations.
10. “Yavadunam”
This Sutra is used for squaring and cubing.
11. “Vyastisamastih”
12. “Sesanyankena Caramena”
13. “Sopantyadvayamantyam”
14. “Ekanyunena Purvena”
15. “Gunitasamuccayah”
16. “Gunakasamuccayah”
The above Sutras are used for various mathematical calculations together with different Sutras.