Register to reply

What is Wavy Curve Method?

by Smarty7
Tags: linear inequalities, math
Share this thread:
Jun10-10, 02:32 AM
P: 22
It is said to be a method to solve inequalities in the form of
[tex]\frac{P(x)}{Q(y)}[/tex] [tex]\leq[/tex] 0

[tex]\frac{P(x)}{Q(y)}[/tex] [tex]\geq[/tex] 0

P(x) and Q(y) are polynomials.
Phys.Org News Partner Mathematics news on
Professor quantifies how 'one thing leads to another'
Team announces construction of a formal computer-verified proof of the Kepler conjecture
Iranian is first woman to win 'Nobel Prize of maths' (Update)
Gib Z
Jun10-10, 07:42 AM
HW Helper
Gib Z's Avatar
P: 3,348
It's basically to roughly sketch P and Q as graphs on two seperate axis, from which we can observe which intervals they are negative or positive. We can combine the information of both to determine when the ratios are negative or positive.

You should have learned how to roughly sketch polynomials in calculus. For this purpose, you only need to find the roots and how the graph passes through them (bounce back off, or pass through the axis), and not the values of extreme values or where exactly they occur. The quick rule is that if the root has even multiplicity, the curve bounces back off the axis, while roots with odd multiplicity pass straight through. You can use Calculus to check that if you want.

Register to reply

Related Discussions
Hand-wavy proof of (part of) Birkhoff's theorem Special & General Relativity 7
Trouble understanding method to compute unit normal vector for a parametric curve Calculus 1
How to convert force displacement curve to stress strain curve Engineering, Comp Sci, & Technology Homework 1
Areas of maths thats hand wavy? General Math 2
Curve fitting and least squares method. Calculus & Beyond Homework 2