Vilokanam:

*By Mere Observation*
Vilokanam is the corollary to

Shesanyankena Charamena, the twelfth

sutra of

Vedic mathematics.

This sutra is not a mathematical process like the other sutras and upsutras. This corallary serves to remind us to step back from a problem and observe it for an obvious solution or simplification.

**Example:**
Solve for x in the equation: x + ( 1/x ) = 10/3

By observation we see that 10/3 could be written as 3 1/3

That makes our equation: x + 1/x = 3 + 1/3

Therefore x = 3 or x = 1/3

So stepping back from the problem and merely observing it can sometimes lead to a fast solution. This is particularly true in the

classroom setting, where algebra problems are usually set up such that the answer is a small

whole number or a common fraction (such as 1/2).

Vilokanam can also be applied to algebra problems involving

simultaneous equations,

quadratic equations, etc., and to

resolve certain

algebraic equations into

partial fractions. To learn more about Vilokanam, check out the resources below:

**RESOURCES:**

*Vedic Mathematics* by Sri Bharati Krisna Tirthaji

http://www.vedamu.org/Mathematics/course.asp

http://www.sanalnair.org/articles/vedmath/intro.htm

http://www.vedicganita.org/ganitsutras.htm

http://hinduism.about.com/library/weekly/aa062901a.htm

http://www.vedicmaths.org/

http://www.hinduism.co.za/vedic.htm

*Mathemagics* by Arthur Benjamin and Michael B. Shermer

http://en.wikipedia.org/wiki/Vedic_math

http://www.tifr.res.in/~vahia/dani-vmsm.pdf

http://www.sacw.net/DC/CommunalismCollection/ArticlesArchive/NoVedic.html