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​The Equation Has Four Times the Number of Solutions

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​The equation ​The equation   has four times the number of solutions in the interval [0, 2π) as the equation   . ​ has four times the number of solutions in the interval [0, 2π) as the equation ​The equation   has four times the number of solutions in the interval [0, 2π) as the equation   . ​ .


Definitions:

Lorenz Curve

A graphical representation of the distribution of income or of wealth within a population, highlighting inequalities.

Gini Ratio

An indicator of how income is distributed across a population, varying from 0 for total equality to 1 for absolute inequality.

Income Inequality

The disparity in income distribution across a group, causing variations in wealth and standards of living.

Lorenz Curve

A graphical representation used to show the distribution of income or wealth within a society, indicating the degree of inequality.

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